/* Generated by Cython 0.17.1 on Wed Dec 19 20:22:17 2012 */

#define PY_SSIZE_T_CLEAN
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        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
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        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
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        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
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  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),((char *)(n)))
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  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),(n))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
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  #define __Pyx_DOCSTR(n)  ((char *)(n))
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  #define __Pyx_NAMESTR(n) (n)
  #define __Pyx_DOCSTR(n)  (n)
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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    #define __PYX_EXTERN_C extern
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#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__scipy__spatial__qhull
#define __PYX_HAVE_API__scipy__spatial__qhull
#include "numpy/ndarrayobject.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "math.h"
#include "setjmp.h"
#include "qhull/src/qset.h"
#include "qhull/src/libqhull.h"
#include "qhull/src/io.h"
#include "qhull/src/geom.h"
#include "qhull/src/poly.h"
#include "qhull/src/mem.h"
#include "string.h"
#include "qhull_blas.h"
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#include <omp.h>
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/* inline attribute */
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#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
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typedef struct {PyObject **p; char *s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/


/* Type Conversion Predeclarations */

#define __Pyx_PyBytes_FromUString(s) PyBytes_FromString((char*)s)
#define __Pyx_PyBytes_AsUString(s)   ((unsigned char*) PyBytes_AsString(s))

#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);

static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);

#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))

#ifdef __GNUC__
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  #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
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    #define likely(x)   (x)
    #define unlikely(x) (x)
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  #define likely(x)   (x)
  #define unlikely(x) (x)
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static PyObject *__pyx_m;
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)
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    #define CYTHON_CCOMPLEX 0
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#if CYTHON_CCOMPLEX
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    #include <complex>
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    #include <complex.h>
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#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
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  "numpy.pxd",
  "type.pxd",
};
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
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  struct __Pyx_StructField_* fields;
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typedef struct __Pyx_StructField_ {
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typedef struct {
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typedef struct {
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  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


/* "numpy.pxd":723
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "numpy.pxd":724
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "numpy.pxd":725
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "numpy.pxd":726
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "numpy.pxd":730
 * #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;

/* "numpy.pxd":731
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "numpy.pxd":732
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "numpy.pxd":733
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "numpy.pxd":737
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "numpy.pxd":738
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "numpy.pxd":747
 * # 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;

/* "numpy.pxd":748
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "numpy.pxd":749
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "numpy.pxd":751
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "numpy.pxd":752
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "numpy.pxd":753
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "numpy.pxd":755
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "numpy.pxd":756
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "numpy.pxd":758
 * 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;

/* "numpy.pxd":759
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "numpy.pxd":760
 * 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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    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
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    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
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/*--- Type declarations ---*/
struct __pyx_obj_5scipy_7spatial_5qhull_RidgeIter2D;
struct __pyx_obj_5scipy_7spatial_5qhull__Qhull;

/* "numpy.pxd":762
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "numpy.pxd":763
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "numpy.pxd":764
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "numpy.pxd":766
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t;
typedef struct __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t;
struct __pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t;
typedef struct __pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t __pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
struct __pyx_defaults1;
typedef struct __pyx_defaults1 __pyx_defaults1;
struct __pyx_defaults2;
typedef struct __pyx_defaults2 __pyx_defaults2;
struct __pyx_defaults3;
typedef struct __pyx_defaults3 __pyx_defaults3;
struct __pyx_defaults4;
typedef struct __pyx_defaults4 __pyx_defaults4;
struct __pyx_defaults5;
typedef struct __pyx_defaults5 __pyx_defaults5;

/* "scipy/spatial/qhull.pxd":16
 *         NPY_MAXDIMS
 * 
 * ctypedef struct DelaunayInfo_t:             # <<<<<<<<<<<<<<
 *     int ndim
 *     int npoints
 */
struct __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t {
  int ndim;
  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;
};

/* "scipy/spatial/qhull.pxd":75
 * #
 * 
 * ctypedef struct RidgeIter2D_t:             # <<<<<<<<<<<<<<
 *     DelaunayInfo_t *info
 *     int index
 */
struct __pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t {
  __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *info;
  int index;
  int vertex;
  int vertex2;
  int triangle;
  int start_triangle;
  int start_index;
  int restart;
};
struct __pyx_defaults {
  PyObject *__pyx_arg_incremental;
};
struct __pyx_defaults1 {
  PyObject *__pyx_arg_restart;
};
struct __pyx_defaults2 {
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  PyObject *__pyx_arg_incremental;
};
struct __pyx_defaults3 {
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};
struct __pyx_defaults4 {
  PyObject *__pyx_arg_incremental;
};
struct __pyx_defaults5 {
  PyObject *__pyx_arg_furthest_site;
  PyObject *__pyx_arg_incremental;
};

/* "scipy/spatial/qhull.pyx":1139
 *         return
 * 
 * cdef class RidgeIter2D(object):             # <<<<<<<<<<<<<<
 *     cdef RidgeIter2D_t it
 *     cdef object delaunay
 */
struct __pyx_obj_5scipy_7spatial_5qhull_RidgeIter2D {
  PyObject_HEAD
  __pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t it;
  PyObject *delaunay;
  __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t info;
};


/* "scipy/spatial/qhull.pyx":208
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 * @cython.final
 * cdef class _Qhull:             # <<<<<<<<<<<<<<
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 *     cdef list _point_arrays
 */
struct __pyx_obj_5scipy_7spatial_5qhull__Qhull {
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  struct __pyx_vtabstruct_5scipy_7spatial_5qhull__Qhull *__pyx_vtab;
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  PyObject *_point_arrays;
  PyObject *options;
  PyObject *mode_option;
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  int ndim;
  int _is_delaunay;
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  PyObject *_ridge_vertices;
  PyObject *_ridge_error;
  int _nridges;
  PyArrayObject *_ridge_equations;
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struct __pyx_vtabstruct_5scipy_7spatial_5qhull__Qhull {
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  int (*_uninit)(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
  PyObject *(*_get_simplex_facet_array)(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
  PyObject *(*_get_voronoi_diagram)(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
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static struct __pyx_vtabstruct_5scipy_7spatial_5qhull__Qhull *__pyx_vtabptr_5scipy_7spatial_5qhull__Qhull;
static int __pyx_f_5scipy_7spatial_5qhull_6_Qhull__activate(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
static int __pyx_f_5scipy_7spatial_5qhull_6_Qhull__deactivate(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
static int __pyx_f_5scipy_7spatial_5qhull_6_Qhull__uninit(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
static PyObject *__pyx_f_5scipy_7spatial_5qhull_6_Qhull__get_simplex_facet_array(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
static PyObject *__pyx_f_5scipy_7spatial_5qhull_6_Qhull__get_voronoi_diagram(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *);
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static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name); /*proto*/

static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name); /*proto*/

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
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static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
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static CYTHON_INLINE int  __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
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static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

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

static void __Pyx_RaiseBufferFallbackError(void); /*proto*/

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

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

#if PY_VERSION_HEX < 0x02050000
#ifndef PyAnySet_CheckExact
#define PyAnySet_CheckExact(ob) \
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#define PySet_New(iterable) \
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#define Pyx_PyFrozenSet_New(iterable) \
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#define PySet_Size(anyset) \
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#define PySet_Contains(anyset, key) \
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#define PySet_Pop(set) \
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static CYTHON_INLINE int PySet_Clear(PyObject *set) {
    PyObject *ret = PyObject_CallMethod(set, (char *)"clear", NULL);
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    Py_DECREF(ret); return 0;
}
static CYTHON_INLINE int PySet_Discard(PyObject *set, PyObject *key) {
    PyObject *ret = PyObject_CallMethod(set, (char *)"discard", (char *)"O", key);
    if (!ret) return -1;
    Py_DECREF(ret); return 0;
}
static CYTHON_INLINE int PySet_Add(PyObject *set, PyObject *key) {
    PyObject *ret = PyObject_CallMethod(set, (char *)"add", (char *)"O", key);
    if (!ret) return -1;
    Py_DECREF(ret); return 0;
}
#endif /* PyAnySet_CheckExact (<= Py2.4) */
#endif /* < Py2.5  */

static CYTHON_INLINE int __Pyx_PySequence_Contains(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
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#include <string.h>

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

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;
}
#define __Pyx_GetItemInt_List(o, i, size, to_py_func) (((size) <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_List_Fast(o, i) : \
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i) {
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    if (likely((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, i);
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        PyObject *r = PyList_GET_ITEM(o, PyList_GET_SIZE(o) + i);
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i) {
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i) {
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static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
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#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); /* proto */

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); /*proto*/

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

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb); /*proto*/
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static PyObject *__Pyx_CyFunction_New(PyTypeObject *,
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static CYTHON_INLINE PyObject *__Pyx_PyInt_to_py_Py_intptr_t(Py_intptr_t);

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    #define __Pyx_CREAL(z) ((z).real())
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    #define __Pyx_CREAL(z) (__real__(z))
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    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
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    #define __Pyx_c_eqf(a, b)   ((a)==(b))
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    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
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    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex);
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static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

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    #define __Pyx_c_eq(a, b)   ((a)==(b))
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    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex, __pyx_t_double_complex);
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static CYTHON_INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject *);

static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject *);

static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject *);

static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject *);

static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject *);

static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject *);

static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject *);

static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject *);

static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject *);

static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject *);

static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject *);

static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject *);

static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject *);

static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject *);

static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject *);

static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject *);

static void __Pyx_WriteUnraisable(const char *name, int clineno,
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static int __Pyx_check_binary_version(void);

static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig); /*proto*/

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

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static PyObject *__Pyx_ImportModule(const char *name); /*proto*/

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

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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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static int __Pyx_InitStrings(__Pyx_StringTabEntry *t); /*proto*/


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

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

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

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

/* Module declarations from '__builtin__' */

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

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

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/

/* Module declarations from 'cython' */

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

/* Module declarations from 'scipy.spatial.qhull' */
static PyTypeObject *__pyx_ptype_5scipy_7spatial_5qhull__Qhull = 0;
static PyTypeObject *__pyx_ptype_5scipy_7spatial_5qhull_RidgeIter2D = 0;
static struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_5scipy_7spatial_5qhull__active_qhull = 0;
static int __pyx_v_5scipy_7spatial_5qhull__qhull_count;
static int __pyx_f_5scipy_7spatial_5qhull__get_delaunay_info(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, PyObject *, int, int); /*proto*/
static int __pyx_f_5scipy_7spatial_5qhull__barycentric_inside(int, double *, double *, double *, double); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinate_single(int, double *, double *, double *, int); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(int, double *, double *, double *); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull__lift_point(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *); /*proto*/
static double __pyx_f_5scipy_7spatial_5qhull__distplane(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, int, double *); /*proto*/
static int __pyx_f_5scipy_7spatial_5qhull__is_point_fully_outside(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double); /*proto*/
static int __pyx_f_5scipy_7spatial_5qhull__find_simplex_bruteforce(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *, double, double); /*proto*/
static int __pyx_f_5scipy_7spatial_5qhull__find_simplex_directed(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *, int *, double, double); /*proto*/
static int __pyx_f_5scipy_7spatial_5qhull__find_simplex(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *, int *, double, double); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_init(__pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t *, __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, int); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_next(__pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t *); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull__visit_voronoi(void *, vertexT *, vertexT *, setT *, boolT); /*proto*/
static void __pyx_f_5scipy_7spatial_5qhull_qh_order_vertexneighbors_nd(int, vertexT *); /*proto*/
static double __pyx_f_5scipy_7spatial_5qhull__matrix_norm1(int, double *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_double_t = { "double_t", NULL, sizeof(__pyx_t_5numpy_double_t), { 0 }, 0, 'R', 0, 0 };
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#define __Pyx_MODULE_NAME "scipy.spatial.qhull"
int __pyx_module_is_main_scipy__spatial__qhull = 0;

/* Implementation of 'scipy.spatial.qhull' */
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_xrange;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_Exception;
static PyObject *__pyx_builtin_StopIteration;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_map;
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_2close(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_4__del__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_6get_points(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_8add_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_10get_paraboloid_shift_scale(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_12triangulate(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_14get_simplex_facet_array(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_16get_voronoi_diagram(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__get_barycentric_transforms(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_points, PyArrayObject *__pyx_v_simplices, double __pyx_v_eps); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_11RidgeIter2D___init__(struct __pyx_obj_5scipy_7spatial_5qhull_RidgeIter2D *__pyx_v_self, PyObject *__pyx_v_delaunay, PyObject *__pyx_v_ivertex); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_11RidgeIter2D_2__iter__(struct __pyx_obj_5scipy_7spatial_5qhull_RidgeIter2D *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_11RidgeIter2D_4__next__(struct __pyx_obj_5scipy_7spatial_5qhull_RidgeIter2D *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10_QhullUser_10__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* 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_12__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* 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_16__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* 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_8convex_hull(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_18__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_10find_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_12plane_distance(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_xi); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_14lift_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_4__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* 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_7Voronoi_6__defaults__(CYTHON_UNUSED PyObject *__pyx_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 char __pyx_k_3[] = "No points given";
static char __pyx_k_5[] = "Need at least 2-D data";
static char __pyx_k_9[] = "Qhull options %r are incompatible with incremental mode";
static char __pyx_k_10[] = " ";
static char __pyx_k_11[] = "qhull ";
static char __pyx_k_12[] = "Qhull error";
static char __pyx_k_14[] = "Qhull instance is closed";
static char __pyx_k_16[] = "qhull: did not free %d bytes (%d pieces)";
static char __pyx_k_18[] = "invalid size for new points array";
static char __pyx_k_25[] = "non-simplical facet encountered: %r vertices";
static char __pyx_k_30[] = "RidgeIter2D supports only 2-D";
static char __pyx_k_32[] = "incremental mode not enabled or already closed";
static char __pyx_k_34[] = "Qbb Qc Qz";
static char __pyx_k_35[] = " Qx";
static char __pyx_k_36[] = "get_paraboloid_shift_scale";
static char __pyx_k_37[] = "get_simplex_facet_array";
static char __pyx_k_38[] = "_get_barycentric_transforms";
static char __pyx_k_44[] = "wrong dimensionality in xi";
static char __pyx_k_46[] = "xi has different dimensionality than triangulation";
static char __pyx_k_53[] = "";
static char __pyx_k_54[] = "ndarray is not C contiguous";
static char __pyx_k_56[] = "ndarray is not Fortran contiguous";
static char __pyx_k_58[] = "Non-native byte order not supported";
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static char __pyx_k_66[] = "\nWrappers for Qhull triangulation, plus some additional N-D geometry utilities\n\n.. versionadded:: 0.9\n\n";
static char __pyx_k_67[] = "numpy.compat";
static char __pyx_k_68[] = "scipy.spatial.qhull";
static char __pyx_k_71[] = "/home/rgommers/Code/scipy/scipy/spatial/qhull.pyx";
static char __pyx_k_82[] = "\n    Takes care of basic dealings with the Qhull objects\n    ";
static char __pyx_k_99[] = "\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\" for ndim > 4 and \"Qbb Qc Qz\" 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        Points in the triangulation.\n    simplices : ndarray of ints, shape (nsimplex, ndim+1)\n        Indices of the points forming the simplices in the triangulation.\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 (see [Qhull]_ documentation for more).\n    paraboloid_scale, paraboloid_shift : float\n        Scale and shift for the extra paraboloid dimension\n        (see [Qhull]_ documentation for more).\n    transform : ndarray of double, shape (nsimplex, ndim+1, ndim)\n        Affine transform from ``x`` to the barycentric coordinates ``c``.\n        This is defined by::\n\n            T c = x - r\n\n        At vertex ``j``, ``c_j = 1`` and the other co""ordinates 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\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\n    Notes\n    -----\n    The tesselation is computed using the Qhull library [Qhull]_.\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. Omitte""d 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([[3, 2, 0],\n           [3, 1, 0]], dtype=int32)\n    >>> points[tri.simplices]\n    array([[[ 1. ,  1. ],\n            [ 1. ,  0. ],\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    References\n    ----------\n    .. [Qhull] http://www.qhull.org/\n\n    ";
static char __pyx_k__1[] = "1";
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static char __pyx_k_106[] = "\n    ConvexHull(points, furthest_site=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        Points in the convex hull.\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 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\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\n    Notes\n    -----\n    The convex hull is computed using the Qhull libary [Qhull]_.\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    >>> plt.show()\n\n    References\n    ----------\n    .. [Qhull] http://www.qhull.org/\n\n    ";
static char __pyx_k_113[] = "\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        Points used for constructing the Voronoi diagram.\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\n    Notes\n    -----\n    The Voronoi diagram is computed using the Qhull libary [Qhull""]_.\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    References\n    ----------\n    .. [Qhull] http://www.qhull.org/\n\n    ";
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 * 
 *     with nogil:
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 * 
 *     with nogil:             # <<<<<<<<<<<<<<
 *         for isimplex in xrange(nsimplex):
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 * 
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 *             for i in xrange(ndim):
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 *                 for j in xrange(ndim):
 *                     T[i,j] = (points[simplices[isimplex,j],i]             # <<<<<<<<<<<<<<
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 */
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 *                 for j in xrange(ndim):
 *                     T[i,j] = (points[simplices[isimplex,j],i]
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 */
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 *                 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])
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 */
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 *                     T[i,j] = (points[simplices[isimplex,j],i]
 *                               - Tinvs[isimplex,ndim,i])
 *                 Tinvs[isimplex,i,i] = 1             # <<<<<<<<<<<<<<
 * 
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 */
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 * 
 *             # compute 1-norm for estimating condition number
 *             anorm = _matrix_norm1(ndim, <double*>T.data)             # <<<<<<<<<<<<<<
 * 
 *             # LU decomposition
 */
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          /* "scipy/spatial/qhull.pyx":892
 * 
 *             # LU decomposition
 *             n = ndim             # <<<<<<<<<<<<<<
 *             nrhs = ndim
 *             lda = ndim
 */
          __pyx_v_n = __pyx_v_ndim;

          /* "scipy/spatial/qhull.pyx":893
 *             # LU decomposition
 *             n = ndim
 *             nrhs = ndim             # <<<<<<<<<<<<<<
 *             lda = ndim
 *             ldb = ndim
 */
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          /* "scipy/spatial/qhull.pyx":894
 *             n = ndim
 *             nrhs = ndim
 *             lda = ndim             # <<<<<<<<<<<<<<
 *             ldb = ndim
 *             qh_dgetrf(&n, &n, <double*>T.data, &lda, ipiv, &info)
 */
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 *             nrhs = ndim
 *             lda = ndim
 *             ldb = ndim             # <<<<<<<<<<<<<<
 *             qh_dgetrf(&n, &n, <double*>T.data, &lda, ipiv, &info)
 * 
 */
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          /* "scipy/spatial/qhull.pyx":896
 *             lda = ndim
 *             ldb = ndim
 *             qh_dgetrf(&n, &n, <double*>T.data, &lda, ipiv, &info)             # <<<<<<<<<<<<<<
 * 
 *             # Check condition number
 */
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          /* "scipy/spatial/qhull.pyx":899
 * 
 *             # 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":901
 *             if info == 0:
 *                 qh_dgecon("1", &n, <double*>T.data, &lda, &anorm, &rcond,
 *                           work, iwork, &info)             # <<<<<<<<<<<<<<
 * 
 *                 if rcond < rcond_limit:
 */
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            /* "scipy/spatial/qhull.pyx":903
 *                           work, iwork, &info)
 * 
 *                 if rcond < rcond_limit:             # <<<<<<<<<<<<<<
 *                     # The transform seems singular
 *                     info = 1
 */
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            if (__pyx_t_35) {

              /* "scipy/spatial/qhull.pyx":905
 *                 if rcond < rcond_limit:
 *                     # The transform seems singular
 *                     info = 1             # <<<<<<<<<<<<<<
 * 
 *             # Compute transform
 */
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            goto __pyx_L12;
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          /* "scipy/spatial/qhull.pyx":908
 * 
 *             # Compute transform
 *             if info == 0:             # <<<<<<<<<<<<<<
 *                 qh_dgetrs("N", &n, &nrhs, <double*>T.data, &lda, ipiv,
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 */
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 *                 qh_dgetrs("N", &n, &nrhs, <double*>T.data, &lda, ipiv,
 *                           (<double*>Tinvs.data) + ndim*(ndim+1)*isimplex,
 *                           &ldb, &info)             # <<<<<<<<<<<<<<
 * 
 *             # Deal with degenerate simplices
 */
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          /* "scipy/spatial/qhull.pyx":914
 * 
 *             # 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":915
 *             # Deal with degenerate simplices
 *             if info != 0:
 *                 for i in range(ndim+1):             # <<<<<<<<<<<<<<
 *                     for j in range(ndim):
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 *             if info != 0:
 *                 for i in range(ndim+1):
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 *                         Tinvs[isimplex,i,j] = nan
 * 
 */
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                /* "scipy/spatial/qhull.pyx":917
 *                 for i in range(ndim+1):
 *                     for j in range(ndim):
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 * 
 *     return Tinvs
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 *     rcond_limit = 1000*eps
 * 
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 * 
 * @cython.boundscheck(False)
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/* "scipy/spatial/qhull.pyx":922
 * 
 * @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":924
 * 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":927
 *     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":928
 * 
 *     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":929
 *     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":930
 *         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":931
 *         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":932
 *             colsum += fabs(a[0])
 *             a += 1
 *         if maxsum < colsum:             # <<<<<<<<<<<<<<
 *             maxsum = colsum
 *     return maxsum
 */
    __pyx_t_5 = (__pyx_v_maxsum < __pyx_v_colsum);
    if (__pyx_t_5) {

      /* "scipy/spatial/qhull.pyx":933
 *             a += 1
 *         if maxsum < colsum:
 *             maxsum = colsum             # <<<<<<<<<<<<<<
 *     return maxsum
 * 
 */
      __pyx_v_maxsum = __pyx_v_colsum;
      goto __pyx_L7;
    }
    __pyx_L7:;
  }

  /* "scipy/spatial/qhull.pyx":934
 *         if maxsum < colsum:
 *             maxsum = colsum
 *     return maxsum             # <<<<<<<<<<<<<<
 * 
 * cdef int _barycentric_inside(int ndim, double *transform,
 */
  __pyx_r = __pyx_v_maxsum;
  goto __pyx_L0;

  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/spatial/qhull.pyx":936
 *     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":945
 *     """
 *     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":946
 *     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":947
 *     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":948
 *     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":949
 *         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":950
 *         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":952
 *         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);
    if (__pyx_t_7) {

      /* "scipy/spatial/qhull.pyx":953
 * 
 *         if not (-eps <= c[i] <= 1 + eps):
 *             return 0             # <<<<<<<<<<<<<<
 *     if not (-eps <= c[ndim] <= 1 + eps):
 *         return 0
 */
      __pyx_r = 0;
      goto __pyx_L0;
      goto __pyx_L7;
    }
    __pyx_L7:;
  }

  /* "scipy/spatial/qhull.pyx":954
 *         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);
  if (__pyx_t_6) {

    /* "scipy/spatial/qhull.pyx":955
 *             return 0
 *     if not (-eps <= c[ndim] <= 1 + eps):
 *         return 0             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
    __pyx_r = 0;
    goto __pyx_L0;
    goto __pyx_L8;
  }
  __pyx_L8:;

  /* "scipy/spatial/qhull.pyx":956
 *     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;

  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/spatial/qhull.pyx":958
 *     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":969
 *     cdef int j
 * 
 *     if i == ndim:             # <<<<<<<<<<<<<<
 *         c[ndim] = 1.0
 *         for j in xrange(ndim):
 */
  __pyx_t_1 = (__pyx_v_i == __pyx_v_ndim);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":970
 * 
 *     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":971
 *     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":972
 *         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]));
    }
    goto __pyx_L3;
  }
  /*else*/ {

    /* "scipy/spatial/qhull.pyx":974
 *             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])
 */
    (__pyx_v_c[__pyx_v_i]) = 0.0;

    /* "scipy/spatial/qhull.pyx":975
 *     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":976
 *         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":978
 *             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":985
 *     """
 *     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":986
 *     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":987
 *     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":988
 *     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":989
 *         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":990
 *         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":997
 * #------------------------------------------------------------------------------
 * 
 * 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":999
 * 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":1000
 *     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":1001
 *     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":1002
 *     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":1003
 *         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":1004
 *         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":1006
 *     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":1012
 *     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":1013
 *     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":1014
 *     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":1015
 *     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;

  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/spatial/qhull.pyx":1022
 * #------------------------------------------------------------------------------
 * 
 * cdef void _RidgeIter2D_init(RidgeIter2D_t *it, DelaunayInfo_t *d,             # <<<<<<<<<<<<<<
 *                             int vertex) nogil:
 *     """
 */

static void __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_init(__pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t *__pyx_v_it, __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, int __pyx_v_vertex) {
  int __pyx_v_k;
  int __pyx_v_ivertex;
  CYTHON_UNUSED int __pyx_v_start;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/spatial/qhull.pyx":1032
 *     cdef int k, ivertex, start
 * 
 *     start = 0             # <<<<<<<<<<<<<<
 *     it.info = d
 *     it.vertex = vertex
 */
  __pyx_v_start = 0;

  /* "scipy/spatial/qhull.pyx":1033
 * 
 *     start = 0
 *     it.info = d             # <<<<<<<<<<<<<<
 *     it.vertex = vertex
 *     it.triangle = d.vertex_to_simplex[vertex]
 */
  __pyx_v_it->info = __pyx_v_d;

  /* "scipy/spatial/qhull.pyx":1034
 *     start = 0
 *     it.info = d
 *     it.vertex = vertex             # <<<<<<<<<<<<<<
 *     it.triangle = d.vertex_to_simplex[vertex]
 *     it.start_triangle = it.triangle
 */
  __pyx_v_it->vertex = __pyx_v_vertex;

  /* "scipy/spatial/qhull.pyx":1035
 *     it.info = d
 *     it.vertex = vertex
 *     it.triangle = d.vertex_to_simplex[vertex]             # <<<<<<<<<<<<<<
 *     it.start_triangle = it.triangle
 *     it.restart = 0
 */
  __pyx_v_it->triangle = (__pyx_v_d->vertex_to_simplex[__pyx_v_vertex]);

  /* "scipy/spatial/qhull.pyx":1036
 *     it.vertex = vertex
 *     it.triangle = d.vertex_to_simplex[vertex]
 *     it.start_triangle = it.triangle             # <<<<<<<<<<<<<<
 *     it.restart = 0
 * 
 */
  __pyx_v_it->start_triangle = __pyx_v_it->triangle;

  /* "scipy/spatial/qhull.pyx":1037
 *     it.triangle = d.vertex_to_simplex[vertex]
 *     it.start_triangle = it.triangle
 *     it.restart = 0             # <<<<<<<<<<<<<<
 * 
 *     if it.triangle != -1:
 */
  __pyx_v_it->restart = 0;

  /* "scipy/spatial/qhull.pyx":1039
 *     it.restart = 0
 * 
 *     if it.triangle != -1:             # <<<<<<<<<<<<<<
 *         # find some edge connected to this vertex
 *         for k in xrange(3):
 */
  __pyx_t_1 = (__pyx_v_it->triangle != -1);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1041
 *     if it.triangle != -1:
 *         # find some edge connected to this vertex
 *         for k in xrange(3):             # <<<<<<<<<<<<<<
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != vertex:
 */
    for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
      __pyx_v_k = __pyx_t_2;

      /* "scipy/spatial/qhull.pyx":1042
 *         # find some edge connected to this vertex
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]             # <<<<<<<<<<<<<<
 *             if ivertex != vertex:
 *                 it.vertex2 = ivertex
 */
      __pyx_v_ivertex = (__pyx_v_it->info->simplices[((__pyx_v_it->triangle * 3) + __pyx_v_k)]);

      /* "scipy/spatial/qhull.pyx":1043
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != vertex:             # <<<<<<<<<<<<<<
 *                 it.vertex2 = ivertex
 *                 it.index = k
 */
      __pyx_t_1 = (__pyx_v_ivertex != __pyx_v_vertex);
      if (__pyx_t_1) {

        /* "scipy/spatial/qhull.pyx":1044
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != vertex:
 *                 it.vertex2 = ivertex             # <<<<<<<<<<<<<<
 *                 it.index = k
 *                 it.start_index = k
 */
        __pyx_v_it->vertex2 = __pyx_v_ivertex;

        /* "scipy/spatial/qhull.pyx":1045
 *             if ivertex != vertex:
 *                 it.vertex2 = ivertex
 *                 it.index = k             # <<<<<<<<<<<<<<
 *                 it.start_index = k
 *                 break
 */
        __pyx_v_it->index = __pyx_v_k;

        /* "scipy/spatial/qhull.pyx":1046
 *                 it.vertex2 = ivertex
 *                 it.index = k
 *                 it.start_index = k             # <<<<<<<<<<<<<<
 *                 break
 *     else:
 */
        __pyx_v_it->start_index = __pyx_v_k;

        /* "scipy/spatial/qhull.pyx":1047
 *                 it.index = k
 *                 it.start_index = k
 *                 break             # <<<<<<<<<<<<<<
 *     else:
 *         it.start_index = -1
 */
        goto __pyx_L5_break;
        goto __pyx_L6;
      }
      __pyx_L6:;
    }
    __pyx_L5_break:;
    goto __pyx_L3;
  }
  /*else*/ {

    /* "scipy/spatial/qhull.pyx":1049
 *                 break
 *     else:
 *         it.start_index = -1             # <<<<<<<<<<<<<<
 *         it.index = -1
 * 
 */
    __pyx_v_it->start_index = -1;

    /* "scipy/spatial/qhull.pyx":1050
 *     else:
 *         it.start_index = -1
 *         it.index = -1             # <<<<<<<<<<<<<<
 * 
 * cdef void _RidgeIter2D_next(RidgeIter2D_t *it) nogil:
 */
    __pyx_v_it->index = -1;
  }
  __pyx_L3:;

}

/* "scipy/spatial/qhull.pyx":1052
 *         it.index = -1
 * 
 * cdef void _RidgeIter2D_next(RidgeIter2D_t *it) nogil:             # <<<<<<<<<<<<<<
 *     cdef int itri, k, ivertex
 * 
 */

static void __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_next(__pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t *__pyx_v_it) {
  int __pyx_v_itri;
  int __pyx_v_k;
  int __pyx_v_ivertex;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/spatial/qhull.pyx":1068
 *     #
 * 
 *     if it.restart:             # <<<<<<<<<<<<<<
 *         if it.start_index == -1:
 *             # we already did that -> we have iterated over everything
 */
  if (__pyx_v_it->restart) {

    /* "scipy/spatial/qhull.pyx":1069
 * 
 *     if it.restart:
 *         if it.start_index == -1:             # <<<<<<<<<<<<<<
 *             # we already did that -> we have iterated over everything
 *             it.index = -1
 */
    __pyx_t_1 = (__pyx_v_it->start_index == -1);
    if (__pyx_t_1) {

      /* "scipy/spatial/qhull.pyx":1071
 *         if it.start_index == -1:
 *             # we already did that -> we have iterated over everything
 *             it.index = -1             # <<<<<<<<<<<<<<
 *             return
 * 
 */
      __pyx_v_it->index = -1;

      /* "scipy/spatial/qhull.pyx":1072
 *             # we already did that -> we have iterated over everything
 *             it.index = -1
 *             return             # <<<<<<<<<<<<<<
 * 
 *         # restart to opposite direction
 */
      goto __pyx_L0;
      goto __pyx_L4;
    }
    __pyx_L4:;

    /* "scipy/spatial/qhull.pyx":1075
 * 
 *         # restart to opposite direction
 *         it.triangle = it.start_triangle             # <<<<<<<<<<<<<<
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 */
    __pyx_v_it->triangle = __pyx_v_it->start_triangle;

    /* "scipy/spatial/qhull.pyx":1076
 *         # restart to opposite direction
 *         it.triangle = it.start_triangle
 *         for k in xrange(3):             # <<<<<<<<<<<<<<
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != it.vertex and k != it.start_index:
 */
    for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
      __pyx_v_k = __pyx_t_2;

      /* "scipy/spatial/qhull.pyx":1077
 *         it.triangle = it.start_triangle
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]             # <<<<<<<<<<<<<<
 *             if ivertex != it.vertex and k != it.start_index:
 *                 it.index = k
 */
      __pyx_v_ivertex = (__pyx_v_it->info->simplices[((__pyx_v_it->triangle * 3) + __pyx_v_k)]);

      /* "scipy/spatial/qhull.pyx":1078
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != it.vertex and k != it.start_index:             # <<<<<<<<<<<<<<
 *                 it.index = k
 *                 it.vertex2 = ivertex
 */
      __pyx_t_1 = (__pyx_v_ivertex != __pyx_v_it->vertex);
      if (__pyx_t_1) {
        __pyx_t_3 = (__pyx_v_k != __pyx_v_it->start_index);
        __pyx_t_4 = __pyx_t_3;
      } else {
        __pyx_t_4 = __pyx_t_1;
      }
      if (__pyx_t_4) {

        /* "scipy/spatial/qhull.pyx":1079
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != it.vertex and k != it.start_index:
 *                 it.index = k             # <<<<<<<<<<<<<<
 *                 it.vertex2 = ivertex
 *                 break
 */
        __pyx_v_it->index = __pyx_v_k;

        /* "scipy/spatial/qhull.pyx":1080
 *             if ivertex != it.vertex and k != it.start_index:
 *                 it.index = k
 *                 it.vertex2 = ivertex             # <<<<<<<<<<<<<<
 *                 break
 *         it.start_index = -1
 */
        __pyx_v_it->vertex2 = __pyx_v_ivertex;

        /* "scipy/spatial/qhull.pyx":1081
 *                 it.index = k
 *                 it.vertex2 = ivertex
 *                 break             # <<<<<<<<<<<<<<
 *         it.start_index = -1
 *         it.restart = 0
 */
        goto __pyx_L6_break;
        goto __pyx_L7;
      }
      __pyx_L7:;
    }
    __pyx_L6_break:;

    /* "scipy/spatial/qhull.pyx":1082
 *                 it.vertex2 = ivertex
 *                 break
 *         it.start_index = -1             # <<<<<<<<<<<<<<
 *         it.restart = 0
 * 
 */
    __pyx_v_it->start_index = -1;

    /* "scipy/spatial/qhull.pyx":1083
 *                 break
 *         it.start_index = -1
 *         it.restart = 0             # <<<<<<<<<<<<<<
 * 
 *         if it.info.neighbors[it.triangle*3 + it.index] == -1:
 */
    __pyx_v_it->restart = 0;

    /* "scipy/spatial/qhull.pyx":1085
 *         it.restart = 0
 * 
 *         if it.info.neighbors[it.triangle*3 + it.index] == -1:             # <<<<<<<<<<<<<<
 *             it.index = -1
 *             return
 */
    __pyx_t_4 = ((__pyx_v_it->info->neighbors[((__pyx_v_it->triangle * 3) + __pyx_v_it->index)]) == -1);
    if (__pyx_t_4) {

      /* "scipy/spatial/qhull.pyx":1086
 * 
 *         if it.info.neighbors[it.triangle*3 + it.index] == -1:
 *             it.index = -1             # <<<<<<<<<<<<<<
 *             return
 *         else:
 */
      __pyx_v_it->index = -1;

      /* "scipy/spatial/qhull.pyx":1087
 *         if it.info.neighbors[it.triangle*3 + it.index] == -1:
 *             it.index = -1
 *             return             # <<<<<<<<<<<<<<
 *         else:
 *             _RidgeIter2D_next(it)
 */
      goto __pyx_L0;
      goto __pyx_L8;
    }
    /*else*/ {

      /* "scipy/spatial/qhull.pyx":1089
 *             return
 *         else:
 *             _RidgeIter2D_next(it)             # <<<<<<<<<<<<<<
 *             if it.index == -1:
 *                 return
 */
      __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_next(__pyx_v_it);

      /* "scipy/spatial/qhull.pyx":1090
 *         else:
 *             _RidgeIter2D_next(it)
 *             if it.index == -1:             # <<<<<<<<<<<<<<
 *                 return
 * 
 */
      __pyx_t_4 = (__pyx_v_it->index == -1);
      if (__pyx_t_4) {

        /* "scipy/spatial/qhull.pyx":1091
 *             _RidgeIter2D_next(it)
 *             if it.index == -1:
 *                 return             # <<<<<<<<<<<<<<
 * 
 *     # jump to the next triangle
 */
        goto __pyx_L0;
        goto __pyx_L9;
      }
      __pyx_L9:;
    }
    __pyx_L8:;
    goto __pyx_L3;
  }
  __pyx_L3:;

  /* "scipy/spatial/qhull.pyx":1094
 * 
 *     # jump to the next triangle
 *     itri = it.info.neighbors[it.triangle*3 + it.index]             # <<<<<<<<<<<<<<
 * 
 *     # if it's outside triangulation, take the last edge, and signal
 */
  __pyx_v_itri = (__pyx_v_it->info->neighbors[((__pyx_v_it->triangle * 3) + __pyx_v_it->index)]);

  /* "scipy/spatial/qhull.pyx":1098
 *     # if it's outside triangulation, take the last edge, and signal
 *     # restart to the opposite direction
 *     if itri == -1:             # <<<<<<<<<<<<<<
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 */
  __pyx_t_4 = (__pyx_v_itri == -1);
  if (__pyx_t_4) {

    /* "scipy/spatial/qhull.pyx":1099
 *     # restart to the opposite direction
 *     if itri == -1:
 *         for k in xrange(3):             # <<<<<<<<<<<<<<
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != it.vertex and k != it.index:
 */
    for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
      __pyx_v_k = __pyx_t_2;

      /* "scipy/spatial/qhull.pyx":1100
 *     if itri == -1:
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]             # <<<<<<<<<<<<<<
 *             if ivertex != it.vertex and k != it.index:
 *                 it.index = k
 */
      __pyx_v_ivertex = (__pyx_v_it->info->simplices[((__pyx_v_it->triangle * 3) + __pyx_v_k)]);

      /* "scipy/spatial/qhull.pyx":1101
 *         for k in xrange(3):
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != it.vertex and k != it.index:             # <<<<<<<<<<<<<<
 *                 it.index = k
 *                 it.vertex2 = ivertex
 */
      __pyx_t_4 = (__pyx_v_ivertex != __pyx_v_it->vertex);
      if (__pyx_t_4) {
        __pyx_t_1 = (__pyx_v_k != __pyx_v_it->index);
        __pyx_t_3 = __pyx_t_1;
      } else {
        __pyx_t_3 = __pyx_t_4;
      }
      if (__pyx_t_3) {

        /* "scipy/spatial/qhull.pyx":1102
 *             ivertex = it.info.simplices[it.triangle*3 + k]
 *             if ivertex != it.vertex and k != it.index:
 *                 it.index = k             # <<<<<<<<<<<<<<
 *                 it.vertex2 = ivertex
 *                 break
 */
        __pyx_v_it->index = __pyx_v_k;

        /* "scipy/spatial/qhull.pyx":1103
 *             if ivertex != it.vertex and k != it.index:
 *                 it.index = k
 *                 it.vertex2 = ivertex             # <<<<<<<<<<<<<<
 *                 break
 * 
 */
        __pyx_v_it->vertex2 = __pyx_v_ivertex;

        /* "scipy/spatial/qhull.pyx":1104
 *                 it.index = k
 *                 it.vertex2 = ivertex
 *                 break             # <<<<<<<<<<<<<<
 * 
 *         it.restart = 1
 */
        goto __pyx_L12_break;
        goto __pyx_L13;
      }
      __pyx_L13:;
    }
    __pyx_L12_break:;

    /* "scipy/spatial/qhull.pyx":1106
 *                 break
 * 
 *         it.restart = 1             # <<<<<<<<<<<<<<
 *         return
 * 
 */
    __pyx_v_it->restart = 1;

    /* "scipy/spatial/qhull.pyx":1107
 * 
 *         it.restart = 1
 *         return             # <<<<<<<<<<<<<<
 * 
 *     # Find at which index we are now:
 */
    goto __pyx_L0;
    goto __pyx_L10;
  }
  __pyx_L10:;

  /* "scipy/spatial/qhull.pyx":1124
 *     # O = it.vertex
 *     #
 *     for k in xrange(3):             # <<<<<<<<<<<<<<
 *         ivertex = it.info.simplices[itri*3 + k]
 *         if it.info.neighbors[itri*3 + k] != it.triangle and \
 */
  for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
    __pyx_v_k = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1125
 *     #
 *     for k in xrange(3):
 *         ivertex = it.info.simplices[itri*3 + k]             # <<<<<<<<<<<<<<
 *         if it.info.neighbors[itri*3 + k] != it.triangle and \
 *                ivertex != it.vertex:
 */
    __pyx_v_ivertex = (__pyx_v_it->info->simplices[((__pyx_v_itri * 3) + __pyx_v_k)]);

    /* "scipy/spatial/qhull.pyx":1126
 *     for k in xrange(3):
 *         ivertex = it.info.simplices[itri*3 + k]
 *         if it.info.neighbors[itri*3 + k] != it.triangle and \             # <<<<<<<<<<<<<<
 *                ivertex != it.vertex:
 *             it.index = k
 */
    __pyx_t_3 = ((__pyx_v_it->info->neighbors[((__pyx_v_itri * 3) + __pyx_v_k)]) != __pyx_v_it->triangle);
    if (__pyx_t_3) {

      /* "scipy/spatial/qhull.pyx":1127
 *         ivertex = it.info.simplices[itri*3 + k]
 *         if it.info.neighbors[itri*3 + k] != it.triangle and \
 *                ivertex != it.vertex:             # <<<<<<<<<<<<<<
 *             it.index = k
 *             it.vertex2 = ivertex
 */
      __pyx_t_4 = (__pyx_v_ivertex != __pyx_v_it->vertex);
      __pyx_t_1 = __pyx_t_4;
    } else {
      __pyx_t_1 = __pyx_t_3;
    }
    if (__pyx_t_1) {

      /* "scipy/spatial/qhull.pyx":1128
 *         if it.info.neighbors[itri*3 + k] != it.triangle and \
 *                ivertex != it.vertex:
 *             it.index = k             # <<<<<<<<<<<<<<
 *             it.vertex2 = ivertex
 *             break
 */
      __pyx_v_it->index = __pyx_v_k;

      /* "scipy/spatial/qhull.pyx":1129
 *                ivertex != it.vertex:
 *             it.index = k
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  }

  /* "scipy/spatial/qhull.pyx":1177
 *         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;

  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/spatial/qhull.pyx":1179
 *     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":1190
 *     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);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1191
 * 
 *     if _is_point_fully_outside(d, x, eps):
 *         return -1             # <<<<<<<<<<<<<<
 * 
 *     for isimplex in xrange(d.nsimplex):
 */
    __pyx_r = -1;
    goto __pyx_L0;
    goto __pyx_L3;
  }
  __pyx_L3:;

  /* "scipy/spatial/qhull.pyx":1193
 *         return -1
 * 
 *     for isimplex in xrange(d.nsimplex):             # <<<<<<<<<<<<<<
 *         transform = d.transform + isimplex*d.ndim*(d.ndim+1)
 * 
 */
  __pyx_t_1 = __pyx_v_d->nsimplex;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_isimplex = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1194
 * 
 *     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":1196
 *         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_3 = ((__pyx_v_transform[0]) == (__pyx_v_transform[0]));
    if (__pyx_t_3) {

      /* "scipy/spatial/qhull.pyx":1198
 *         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":1199
 *             # transform is valid (non-nan)
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)
 *             if inside:             # <<<<<<<<<<<<<<
 *                 return isimplex
 *         else:
 */
      if (__pyx_v_inside) {

        /* "scipy/spatial/qhull.pyx":1200
 *             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;
        goto __pyx_L7;
      }
      __pyx_L7:;
      goto __pyx_L6;
    }
    /*else*/ {

      /* "scipy/spatial/qhull.pyx":1207
 *             # with a larger epsilon
 * 
 *             for k in xrange(d.ndim+1):             # <<<<<<<<<<<<<<
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]
 *                 if ineighbor == -1:
 */
      __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":1208
 * 
 *             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":1209
 *             for k in xrange(d.ndim+1):
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]
 *                 if ineighbor == -1:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        __pyx_t_3 = (__pyx_v_ineighbor == -1);
        if (__pyx_t_3) {

          /* "scipy/spatial/qhull.pyx":1210
 *                 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;
          goto __pyx_L10;
        }
        __pyx_L10:;

        /* "scipy/spatial/qhull.pyx":1212
 *                     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":1213
 * 
 *                 transform = d.transform + ineighbor*d.ndim*(d.ndim+1)
 *                 if transform[0] != transform[0]:             # <<<<<<<<<<<<<<
 *                     # another bad simplex
 *                     continue
 */
        __pyx_t_3 = ((__pyx_v_transform[0]) != (__pyx_v_transform[0]));
        if (__pyx_t_3) {

          /* "scipy/spatial/qhull.pyx":1215
 *                 if transform[0] != transform[0]:
 *                     # another bad simplex
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 _barycentric_coordinates(d.ndim, transform, x, c)
 */
          goto __pyx_L8_continue;
          goto __pyx_L11;
        }
        __pyx_L11:;

        /* "scipy/spatial/qhull.pyx":1217
 *                     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":1221
 *                 # 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":1222
 *                 # 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":1223
 *                 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_3 = ((__pyx_v_d->neighbors[(((__pyx_v_d->ndim + 1) * __pyx_v_ineighbor) + __pyx_v_m)]) == __pyx_v_isimplex);
          if (__pyx_t_3) {

            /* "scipy/spatial/qhull.pyx":1225
 *                     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_3 = ((-__pyx_v_eps_broad) <= (__pyx_v_c[__pyx_v_m]));
            if (__pyx_t_3) {
              __pyx_t_3 = ((__pyx_v_c[__pyx_v_m]) <= (1.0 + __pyx_v_eps));
            }
            __pyx_t_8 = (!__pyx_t_3);
            if (__pyx_t_8) {

              /* "scipy/spatial/qhull.pyx":1226
 *                         # 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":1227
 *                         if not (-eps_broad <= c[m] <= 1 + eps):
 *                             inside = 0
 *                             break             # <<<<<<<<<<<<<<
 *                     else:
 *                         # normal check
 */
              goto __pyx_L13_break;
              goto __pyx_L15;
            }
            __pyx_L15:;
            goto __pyx_L14;
          }
          /*else*/ {

            /* "scipy/spatial/qhull.pyx":1230
 *                     else:
 *                         # normal check
 *                         if not (-eps <= c[m] <= 1 + eps):             # <<<<<<<<<<<<<<
 *                             inside = 0
 *                             break
 */
            __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_3 = (!__pyx_t_8);
            if (__pyx_t_3) {

              /* "scipy/spatial/qhull.pyx":1231
 *                         # normal check
 *                         if not (-eps <= c[m] <= 1 + eps):
 *                             inside = 0             # <<<<<<<<<<<<<<
 *                             break
 *                 if inside:
 */
              __pyx_v_inside = 0;

              /* "scipy/spatial/qhull.pyx":1232
 *                         if not (-eps <= c[m] <= 1 + eps):
 *                             inside = 0
 *                             break             # <<<<<<<<<<<<<<
 *                 if inside:
 *                     return ineighbor
 */
              goto __pyx_L13_break;
              goto __pyx_L16;
            }
            __pyx_L16:;
          }
          __pyx_L14:;
        }
        __pyx_L13_break:;

        /* "scipy/spatial/qhull.pyx":1233
 *                             inside = 0
 *                             break
 *                 if inside:             # <<<<<<<<<<<<<<
 *                     return ineighbor
 *     return -1
 */
        if (__pyx_v_inside) {

          /* "scipy/spatial/qhull.pyx":1234
 *                             break
 *                 if inside:
 *                     return ineighbor             # <<<<<<<<<<<<<<
 *     return -1
 * 
 */
          __pyx_r = __pyx_v_ineighbor;
          goto __pyx_L0;
          goto __pyx_L17;
        }
        __pyx_L17:;
        __pyx_L8_continue:;
      }
    }
    __pyx_L6:;
  }

  /* "scipy/spatial/qhull.pyx":1235
 *                 if inside:
 *                     return ineighbor
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * cdef int _find_simplex_directed(DelaunayInfo_t *d, double *c,
 */
  __pyx_r = -1;
  goto __pyx_L0;

  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/spatial/qhull.pyx":1237
 *     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;
  int __pyx_t_5;
  long __pyx_t_6;
  int __pyx_t_7;

  /* "scipy/spatial/qhull.pyx":1282
 *     cdef double v
 * 
 *     ndim = d.ndim             # <<<<<<<<<<<<<<
 *     isimplex = start[0]
 * 
 */
  __pyx_v_ndim = __pyx_v_d->ndim;

  /* "scipy/spatial/qhull.pyx":1283
 * 
 *     ndim = d.ndim
 *     isimplex = start[0]             # <<<<<<<<<<<<<<
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:
 */
  __pyx_v_isimplex = (__pyx_v_start[0]);

  /* "scipy/spatial/qhull.pyx":1285
 *     isimplex = start[0]
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:             # <<<<<<<<<<<<<<
 *         isimplex = 0
 * 
 */
  __pyx_t_1 = (__pyx_v_isimplex < 0);
  if (!__pyx_t_1) {
    __pyx_t_2 = (__pyx_v_isimplex >= __pyx_v_d->nsimplex);
    __pyx_t_3 = __pyx_t_2;
  } else {
    __pyx_t_3 = __pyx_t_1;
  }
  if (__pyx_t_3) {

    /* "scipy/spatial/qhull.pyx":1286
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:
 *         isimplex = 0             # <<<<<<<<<<<<<<
 * 
 *     # The maximum iteration count: it should be large enough so that
 */
    __pyx_v_isimplex = 0;
    goto __pyx_L3;
  }
  __pyx_L3:;

  /* "scipy/spatial/qhull.pyx":1293
 *     # 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_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
    __pyx_v_cycle_k = __pyx_t_5;

    /* "scipy/spatial/qhull.pyx":1294
 * 
 *     for cycle_k in range(1 + d.nsimplex//4):
 *         if isimplex == -1:             # <<<<<<<<<<<<<<
 *             break
 * 
 */
    __pyx_t_3 = (__pyx_v_isimplex == -1);
    if (__pyx_t_3) {

      /* "scipy/spatial/qhull.pyx":1295
 *     for cycle_k in range(1 + d.nsimplex//4):
 *         if isimplex == -1:
 *             break             # <<<<<<<<<<<<<<
 * 
 *         transform = d.transform + isimplex*ndim*(ndim+1)
 */
      goto __pyx_L5_break;
      goto __pyx_L6;
    }
    __pyx_L6:;

    /* "scipy/spatial/qhull.pyx":1297
 *             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":1299
 *         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":1300
 * 
 *         inside = 1
 *         for k in xrange(ndim+1):             # <<<<<<<<<<<<<<
 *             _barycentric_coordinate_single(ndim, transform, x, c, k)
 * 
 */
    __pyx_t_6 = (__pyx_v_ndim + 1);
    for (__pyx_t_7 = 0; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
      __pyx_v_k = __pyx_t_7;

      /* "scipy/spatial/qhull.pyx":1301
 *         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":1303
 *             _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_3 = ((__pyx_v_c[__pyx_v_k]) < (-__pyx_v_eps));
      if (__pyx_t_3) {

        /* "scipy/spatial/qhull.pyx":1305
 *             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":1306
 *                 # 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_3 = (__pyx_v_m == -1);
        if (__pyx_t_3) {

          /* "scipy/spatial/qhull.pyx":1308
 *                 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":1309
 *                     # The point is outside the triangulation: bail out
 *                     start[0] = isimplex
 *                     return -1             # <<<<<<<<<<<<<<
 * 
 *                 isimplex = m
 */
          __pyx_r = -1;
          goto __pyx_L0;
          goto __pyx_L10;
        }
        __pyx_L10:;

        /* "scipy/spatial/qhull.pyx":1311
 *                     return -1
 * 
 *                 isimplex = m             # <<<<<<<<<<<<<<
 *                 inside = -1
 *                 break
 */
        __pyx_v_isimplex = __pyx_v_m;

        /* "scipy/spatial/qhull.pyx":1312
 * 
 *                 isimplex = m
 *                 inside = -1             # <<<<<<<<<<<<<<
 *                 break
 *             elif c[k] <= 1 + eps:
 */
        __pyx_v_inside = -1;

        /* "scipy/spatial/qhull.pyx":1313
 *                 isimplex = m
 *                 inside = -1
 *                 break             # <<<<<<<<<<<<<<
 *             elif c[k] <= 1 + eps:
 *                 # we're inside this simplex
 */
        goto __pyx_L8_break;
        goto __pyx_L9;
      }

      /* "scipy/spatial/qhull.pyx":1314
 *                 inside = -1
 *                 break
 *             elif c[k] <= 1 + eps:             # <<<<<<<<<<<<<<
 *                 # we're inside this simplex
 *                 pass
 */
      __pyx_t_3 = ((__pyx_v_c[__pyx_v_k]) <= (1.0 + __pyx_v_eps));
      if (__pyx_t_3) {
        goto __pyx_L9;
      }
      /*else*/ {

        /* "scipy/spatial/qhull.pyx":1319
 *             else:
 *                 # we're outside (or the coordinate is nan; a degenerate simplex)
 *                 inside = 0             # <<<<<<<<<<<<<<
 * 
 *         if inside == -1:
 */
        __pyx_v_inside = 0;
      }
      __pyx_L9:;
    }
    __pyx_L8_break:;

    /* "scipy/spatial/qhull.pyx":1324
 *             # hopped to another simplex
 *             continue
 *         elif inside == 1:             # <<<<<<<<<<<<<<
 *             # we've found the right one!
 *             break
 */
    switch (__pyx_v_inside) {

      /* "scipy/spatial/qhull.pyx":1321
 *                 inside = 0
 * 
 *         if inside == -1:             # <<<<<<<<<<<<<<
 *             # hopped to another simplex
 *             continue
 */
      case -1:

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 *         if inside == -1:
 *             # hopped to another simplex
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 *         elif inside == 1:
 *             # we've found the right one!
 */
      goto __pyx_L4_continue;
      break;

      /* "scipy/spatial/qhull.pyx":1324
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 *             continue
 *         elif inside == 1:             # <<<<<<<<<<<<<<
 *             # we've found the right one!
 *             break
 */
      case 1:

      /* "scipy/spatial/qhull.pyx":1326
 *         elif inside == 1:
 *             # we've found the right one!
 *             break             # <<<<<<<<<<<<<<
 *         else:
 *             # we've failed utterly (degenerate simplices in the way).
 */
      goto __pyx_L5_break;
      break;
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      /* "scipy/spatial/qhull.pyx":1330
 *             # we've failed utterly (degenerate simplices in the way).
 *             # fall back to brute force
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 *             break
 *     else:
 */
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      /* "scipy/spatial/qhull.pyx":1331
 *             # 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_L5_break;
      break;
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    /* "scipy/spatial/qhull.pyx":1334
 *     else:
 *         # the algorithm failed to converge -- fall back to brute force
 *         isimplex = _find_simplex_bruteforce(d, c, x, eps, eps_broad)             # <<<<<<<<<<<<<<
 * 
 *     start[0] = isimplex
 */
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 * 
 *     start[0] = isimplex             # <<<<<<<<<<<<<<
 *     return isimplex
 * 
 */
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 * 
 *     start[0] = isimplex
 *     return isimplex             # <<<<<<<<<<<<<<
 * 
 * cdef int _find_simplex(DelaunayInfo_t *d, double *c,
 */
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/* "scipy/spatial/qhull.pyx":1339
 *     return isimplex
 * 
 * cdef int _find_simplex(DelaunayInfo_t *d, double *c,             # <<<<<<<<<<<<<<
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 *     cdef int changed
 * 
 *     if _is_point_fully_outside(d, x, eps):             # <<<<<<<<<<<<<<
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 * 
 *     if _is_point_fully_outside(d, x, eps):
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 *     if d.nsimplex <= 0:
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 */
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 *     if _is_point_fully_outside(d, x, eps):
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 *     if d.nsimplex <= 0:             # <<<<<<<<<<<<<<
 *         return -1
 * 
 */
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    /* "scipy/spatial/qhull.pyx":1404
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 *     if d.nsimplex <= 0:
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 * 
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 */
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 *         return -1
 * 
 *     ndim = d.ndim             # <<<<<<<<<<<<<<
 *     isimplex = start[0]
 * 
 */
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 * 
 *     ndim = d.ndim
 *     isimplex = start[0]             # <<<<<<<<<<<<<<
 * 
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 */
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 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:             # <<<<<<<<<<<<<<
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 * 
 */
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 * 
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 * 
 *     # Lift point to paraboloid
 */
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 * 
 *     # Lift point to paraboloid
 *     _lift_point(d, x, z)             # <<<<<<<<<<<<<<
 * 
 *     # Walk the tesselation searching for a facet with a positive planar distance
 */
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 * 
 *     # Walk the tesselation searching for a facet with a positive planar distance
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 *     changed = 1
 *     while changed:
 */
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 *     # Walk the tesselation searching for a facet with a positive planar distance
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 *     changed = 1             # <<<<<<<<<<<<<<
 *     while changed:
 *         if best_dist > 0:
 */
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  /* "scipy/spatial/qhull.pyx":1418
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 *     changed = 1
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 *         if best_dist > 0:
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    /* "scipy/spatial/qhull.pyx":1419
 *     changed = 1
 *     while changed:
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 *             break
 *         changed = 0
 */
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      /* "scipy/spatial/qhull.pyx":1420
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 *         for k in xrange(ndim+1):
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    /* "scipy/spatial/qhull.pyx":1421
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 *         changed = 0             # <<<<<<<<<<<<<<
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    /* "scipy/spatial/qhull.pyx":1422
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 *         changed = 0
 *         for k in xrange(ndim+1):             # <<<<<<<<<<<<<<
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 *         for k in xrange(ndim+1):
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 * 
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 * 
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 *                 #       efficiently. We don't need full accuracy, since we do
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 *                 changed = 1
 */
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 * 
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 * 
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    /* "numpy.pxd":228
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 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
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    /* "numpy.pxd":254
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 *                 elif t == NPY_UBYTE:       f = "B"
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    /* "numpy.pxd":259
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 *                 elif t == NPY_UBYTE:       f = "B"             # <<<<<<<<<<<<<<
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    /* "numpy.pxd":260
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 *                 elif t == NPY_USHORT:      f = "H"
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    /* "numpy.pxd":261
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 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_INT:         f = "i"
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 */
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    /* "numpy.pxd":262
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 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"             # <<<<<<<<<<<<<<
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 *                 elif t == NPY_LONG:        f = "l"
 */
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    /* "numpy.pxd":263
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 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONG:        f = "l"
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 */
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    /* "numpy.pxd":264
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 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"
 */
    __pyx_t_1 = (__pyx_v_t == NPY_LONG);
    if (__pyx_t_1) {
      __pyx_v_f = __pyx_k__l;
      goto __pyx_L13;
    }

    /* "numpy.pxd":265
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 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 */
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      goto __pyx_L13;
    }

    /* "numpy.pxd":266
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 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_ULONGLONG:   f = "Q"
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 */
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    /* "numpy.pxd":267
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 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"
 */
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    /* "numpy.pxd":268
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 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
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    /* "numpy.pxd":269
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 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
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 */
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    /* "numpy.pxd":270
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 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 */
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    }

    /* "numpy.pxd":271
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 */
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    /* "numpy.pxd":272
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 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"
 */
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    /* "numpy.pxd":273
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 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_OBJECT:      f = "O"
 *                 else:
 */
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    /* "numpy.pxd":274
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 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"             # <<<<<<<<<<<<<<
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 */
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  __pyx_t_1 = __Pyx_CreateClass(((PyObject *)__pyx_t_3), ((PyObject *)__pyx_t_2), __pyx_n_s__Voronoi, __pyx_n_s_68); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
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  if (PyObject_SetAttr(__pyx_m, __pyx_n_s__Voronoi, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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  /* "scipy/spatial/qhull.pyx":1
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 * 
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  __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  if (PyObject_SetAttr(__pyx_m, __pyx_n_s____test__, ((PyObject *)__pyx_t_2)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(((PyObject *)__pyx_t_2)); __pyx_t_2 = 0;

  /* "numpy.pxd":975
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */
  goto __pyx_L0;
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  if (__pyx_m) {
    __Pyx_AddTraceback("init scipy.spatial.qhull", __pyx_clineno, __pyx_lineno, __pyx_filename);
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/* Runtime support code */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name) {
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    result = PyObject_GetAttr(dict, name);
    if (!result) {
        if (dict != __pyx_b) {
            PyErr_Clear();
            result = PyObject_GetAttr(__pyx_b, name);
        }
        if (!result) {
            PyErr_SetObject(PyExc_NameError, name);
        }
    }
    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,
                 "%s() takes %s %" CYTHON_FORMAT_SSIZE_T "d positional argument%s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

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,
        "%s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%s() got an unexpected keyword argument '%s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (Py_TYPE(obj) == type) return 1;
    }
    else {
        if (PyObject_TypeCheck(obj, type)) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%s' has incorrect type (expected %s, got %s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t < '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1) /* First char was not a digit */
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
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#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';
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    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');
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        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
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  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count; /* Consume from buffer string */
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break; /* breaks both loops as ctx->enc_count == 0 */
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue; /* empty struct */
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        if (isspace(*ts))
            continue;
        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 10:
      case 13:
        ++ts;
        break;
      case '<':
        if (!__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T': /* substruct */
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}': /* end of substruct; either repeat or move on */
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }        /* fall through */
      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 's': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
        } else {
          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 CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_Format(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_Format(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    #if PY_VERSION_HEX < 0x02050000
    if (PyClass_Check(type)) {
    #else
    if (PyType_Check(type)) {
    #endif
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        #if PY_VERSION_HEX < 0x02050000
            if (PyInstance_Check(type)) {
                type = (PyObject*) ((PyInstanceObject*)type)->in_class;
                Py_INCREF(type);
            }
            else {
                type = 0;
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception must be an old-style class or instance");
                goto raise_error;
            }
        #else
            type = (PyObject*) Py_TYPE(type);
            Py_INCREF(type);
            if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception class must be a subclass of BaseException");
                goto raise_error;
            }
        #endif
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else /* Python 3+ */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *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 = PyEval_CallObject(type, args);
        Py_DECREF(args);
        if (!owned_instance)
            goto bad;
        value = owned_instance;
        if (!PyExceptionInstance_Check(value)) {
            PyErr_Format(PyExc_TypeError,
                         "calling %R should have returned an instance of "
                         "BaseException, not %R",
                         type, Py_TYPE(value));
            goto bad;
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause && cause != Py_None) {
        PyObject *fixed_cause;
        if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        }
        else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        }
        else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

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

static 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 (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
        goto bad;
    #endif
    Py_INCREF(local_type);
    Py_INCREF(local_value);
    Py_INCREF(local_tb);
    *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;
    /* Make sure tstate is in a consistent state when we XDECREF
       these objects (DECREF may run arbitrary code). */
    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 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_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%s to unpack",
                 index, (index == 1) ? "" : "s");
}

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

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

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

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 PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    CYTHON_UNUSED PyObject *getbuffer_cobj;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict &&
        (getbuffer_cobj = PyMapping_GetItemString(obj->ob_type->tp_dict,
                                             "__pyx_getbuffer"))) {
        getbufferproc func;
      #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION == 3 && PY_MINOR_VERSION == 0)
        func = (getbufferproc) PyCapsule_GetPointer(getbuffer_cobj, "getbuffer(obj, view, flags)");
      #else
        func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj);
      #endif
        Py_DECREF(getbuffer_cobj);
        if (!func)
            goto fail;
        return func(obj, view, flags);
    } else {
        PyErr_Clear();
    }
  #endif
    PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    CYTHON_UNUSED PyObject *releasebuffer_cobj;
    if (!obj) return;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict &&
        (releasebuffer_cobj = PyMapping_GetItemString(obj->ob_type->tp_dict,
                                                      "__pyx_releasebuffer"))) {
        releasebufferproc func;
      #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION == 3 && PY_MINOR_VERSION == 0)
        func = (releasebufferproc) PyCapsule_GetPointer(releasebuffer_cobj, "releasebuffer(obj, view)");
      #else
        func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj);
      #endif
        Py_DECREF(releasebuffer_cobj);
        if (!func)
            goto fail;
        func(obj, view);
        return;
    } else {
        PyErr_Clear();
    }
  #endif
    goto nofail;
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    PyErr_WriteUnraisable(obj);
nofail:
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif /*  PY_MAJOR_VERSION < 3 */


    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, long level) {
    PyObject *py_import = 0;
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    py_import = __Pyx_GetAttrString(__pyx_b, "__import__");
    if (!py_import)
        goto bad;
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    #if PY_VERSION_HEX >= 0x02050000
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                /* try package relative import first */
                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);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0; /* try absolute import on failure */
        }
        #endif
        if (!module) {
            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
    if (level>0) {
        PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
        goto bad;
    }
    module = PyObject_CallFunctionObjArgs(py_import,
        name, global_dict, empty_dict, list, NULL);
    #endif
bad:
    Py_XDECREF(empty_list);
    Py_XDECREF(py_import);
    Py_XDECREF(empty_dict);
    return module;
}

static CYTHON_INLINE void __Pyx_RaiseImportError(PyObject *name) {
#if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_ImportError, "cannot import name %.230s",
                 PyString_AsString(name));
#else
    PyErr_Format(PyExc_ImportError, "cannot import name %S", name);
#endif
}

static PyObject *__Pyx_FindPy2Metaclass(PyObject *bases) {
    PyObject *metaclass;
#if PY_MAJOR_VERSION < 3
    if (PyTuple_Check(bases) && PyTuple_GET_SIZE(bases) > 0) {
        PyObject *base = PyTuple_GET_ITEM(bases, 0);
        metaclass = PyObject_GetAttrString(base, (char *)"__class__");
        if (!metaclass) {
            PyErr_Clear();
            metaclass = (PyObject*) Py_TYPE(base);
        }
    } else {
        metaclass = (PyObject *) &PyClass_Type;
    }
#else
    if (PyTuple_Check(bases) && PyTuple_GET_SIZE(bases) > 0) {
        PyObject *base = PyTuple_GET_ITEM(bases, 0);
        metaclass = (PyObject*) Py_TYPE(base);
    } else {
        metaclass = (PyObject *) &PyType_Type;
    }
#endif
    Py_INCREF(metaclass);
    return metaclass;
}

static PyObject *__Pyx_CreateClass(PyObject *bases, PyObject *dict, PyObject *name,
                                   PyObject *modname) {
    PyObject *result;
    PyObject *metaclass;
    if (PyDict_SetItemString(dict, "__module__", modname) < 0)
        return NULL;
    metaclass = PyDict_GetItemString(dict, "__metaclass__");
    if (metaclass) {
        Py_INCREF(metaclass);
    } else {
        metaclass = __Pyx_FindPy2Metaclass(bases);
    }
    result = PyObject_CallFunctionObjArgs(metaclass, name, bases, dict, NULL);
    Py_DECREF(metaclass);
    return result;
}

static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (op->func_doc == NULL && 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 (op->func_doc == 0) {
        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)
        op->func_doc = Py_None; /* Mark as deleted */
    else
        op->func_doc = value;
    Py_INCREF(op->func_doc);
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (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
    }
    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 (value == NULL || !PyUnicode_Check(value)) {
#else
    if (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_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 (op->func_dict == NULL) {
        op->func_dict = PyDict_New();
        if (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 (value == NULL) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (!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(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    PyObject* dict = PyModule_GetDict(__pyx_m);
    Py_XINCREF(dict);
    return dict;
}
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 PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op)
{
    if (op->defaults_tuple) {
        Py_INCREF(op->defaults_tuple);
        return op->defaults_tuple;
    }
    if (op->defaults_getter) {
        PyObject *res = op->defaults_getter((PyObject *) op);
        if (res) {
            Py_INCREF(res);
            op->defaults_tuple = res;
        }
        return res;
    }
    Py_INCREF(Py_None);
    return Py_None;
}
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 *) "__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, 0, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, 0, 0, 0},
    {0, 0, 0, 0, 0}
};
#ifndef PY_WRITE_RESTRICTED /* < Py2.5 */
#define PY_WRITE_RESTRICTED WRITE_RESTRICTED
#endif
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags,
                                      PyObject *closure, PyObject *module, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    op->func_weakreflist = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_getter = 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_doc);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyMem_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    if (m->func_weakreflist != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return PyMethod_New(func,
                            type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
    PyObject *func_name = __Pyx_CyFunction_get_name(op);
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                func_name, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(func_name), (void *)op);
#endif
}
#if CYTHON_COMPILING_IN_PYPY
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    Py_ssize_t size;
    switch (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST)) {
    case METH_VARARGS:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0)
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
            size = PyTuple_GET_SIZE(arg);
            if (size == 0)
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%zd given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
            size = PyTuple_GET_SIZE(arg);
            if (size == 1)
                return (*meth)(self, PyTuple_GET_ITEM(arg, 0));
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%zd given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
#else
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
	return PyCFunction_Call(func, arg, kw);
}
#endif
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __Pyx_NAMESTR("cython_function_or_method"), /*tp_name*/
    sizeof(__pyx_CyFunctionObject),   /*tp_basicsize*/
    0,                                  /*tp_itemsize*/
    (destructor) __Pyx_CyFunction_dealloc, /*tp_dealloc*/
    0,                                  /*tp_print*/
    0,                                  /*tp_getattr*/
    0,                                  /*tp_setattr*/
#if PY_MAJOR_VERSION < 3
    0,                                  /*tp_compare*/
#else
    0,                                  /*reserved*/
#endif
    (reprfunc) __Pyx_CyFunction_repr,   /*tp_repr*/
    0,                                  /*tp_as_number*/
    0,                                  /*tp_as_sequence*/
    0,                                  /*tp_as_mapping*/
    0,                                  /*tp_hash*/
    __Pyx_CyFunction_Call,              /*tp_call*/
    0,                                  /*tp_str*/
    0,                                  /*tp_getattro*/
    0,                                  /*tp_setattro*/
    0,                                  /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags*/
    0,                                  /*tp_doc*/
    (traverseproc) __Pyx_CyFunction_traverse,   /*tp_traverse*/
    (inquiry) __Pyx_CyFunction_clear,   /*tp_clear*/
    0,                                  /*tp_richcompare*/
    offsetof(__pyx_CyFunctionObject, func_weakreflist), /* tp_weaklistoffse */
    0,                                  /*tp_iter*/
    0,                                  /*tp_iternext*/
    __pyx_CyFunction_methods,           /*tp_methods*/
    __pyx_CyFunction_members,           /*tp_members*/
    __pyx_CyFunction_getsets,           /*tp_getset*/
    0,                                  /*tp_base*/
    0,                                  /*tp_dict*/
    __Pyx_CyFunction_descr_get,         /*tp_descr_get*/
    0,                                  /*tp_descr_set*/
    offsetof(__pyx_CyFunctionObject, func_dict),/*tp_dictoffset*/
    0,                                  /*tp_init*/
    0,                                  /*tp_alloc*/
    0,                                  /*tp_new*/
    0,                                  /*tp_free*/
    0,                                  /*tp_is_gc*/
    0,                                  /*tp_bases*/
    0,                                  /*tp_mro*/
    0,                                  /*tp_cache*/
    0,                                  /*tp_subclasses*/
    0,                                  /*tp_weaklist*/
    0,                                  /*tp_del*/
#if PY_VERSION_HEX >= 0x02060000
    0,                                  /*tp_version_tag*/
#endif
};
static int __Pyx_CyFunction_init(void) {
#if !CYTHON_COMPILING_IN_PYPY
    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
#endif
    if (PyType_Ready(&__pyx_CyFunctionType_type) < 0)
        return -1;
    __pyx_CyFunctionType = &__pyx_CyFunctionType_type;
    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, sizeof(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 PyObject *__Pyx_PyInt_to_py_Py_intptr_t(Py_intptr_t val) {
    const Py_intptr_t neg_one = (Py_intptr_t)-1, const_zero = (Py_intptr_t)0;
    const int is_unsigned = const_zero < neg_one;
    if ((sizeof(Py_intptr_t) == sizeof(char))  ||
        (sizeof(Py_intptr_t) == sizeof(short))) {
        return PyInt_FromLong((long)val);
    } else if ((sizeof(Py_intptr_t) == sizeof(int)) ||
               (sizeof(Py_intptr_t) == sizeof(long))) {
        if (is_unsigned)
            return PyLong_FromUnsignedLong((unsigned long)val);
        else
            return PyInt_FromLong((long)val);
    } else if (sizeof(Py_intptr_t) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)val);
        else
            return PyLong_FromLongLong((PY_LONG_LONG)val);
    } else {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     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 unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
    const unsigned char neg_one = (unsigned char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned char" :
                    "value too large to convert to unsigned char");
            }
            return (unsigned char)-1;
        }
        return (unsigned char)val;
    }
    return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
    const unsigned short neg_one = (unsigned short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned short" :
                    "value too large to convert to unsigned short");
            }
            return (unsigned short)-1;
        }
        return (unsigned short)val;
    }
    return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
    const unsigned int neg_one = (unsigned int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned int" :
                    "value too large to convert to unsigned int");
            }
            return (unsigned int)-1;
        }
        return (unsigned int)val;
    }
    return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
    const char neg_one = (char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to char" :
                    "value too large to convert to char");
            }
            return (char)-1;
        }
        return (char)val;
    }
    return (char)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
    const short neg_one = (short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to short" :
                    "value too large to convert to short");
            }
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    const signed char neg_one = (signed char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed char" :
                    "value too large to convert to signed char");
            }
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    const signed short neg_one = (signed short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed short" :
                    "value too large to convert to signed short");
            }
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    const signed int neg_one = (signed int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed int" :
                    "value too large to convert to signed int");
            }
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
    const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return (unsigned long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned long");
                return (unsigned long)-1;
            }
            return (unsigned long)PyLong_AsUnsignedLong(x);
        } else {
            return (unsigned long)PyLong_AsLong(x);
        }
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long)-1;
        val = __Pyx_PyInt_AsUnsignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
    const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return (unsigned PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned PY_LONG_LONG");
                return (unsigned PY_LONG_LONG)-1;
            }
            return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        unsigned PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
    const long neg_one = (long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to long");
            return (long)-1;
        }
        return (long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long)-1;
            }
            return (long)PyLong_AsUnsignedLong(x);
        } else {
            return (long)PyLong_AsLong(x);
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long)-1;
        val = __Pyx_PyInt_AsLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
    const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to PY_LONG_LONG");
            return (PY_LONG_LONG)-1;
        }
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to PY_LONG_LONG");
                return (PY_LONG_LONG)-1;
            }
            return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
    const signed long neg_one = (signed long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed long");
            return (signed long)-1;
        }
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed long");
                return (signed long)-1;
            }
            return (signed long)PyLong_AsUnsignedLong(x);
        } else {
            return (signed long)PyLong_AsLong(x);
        }
    } else {
        signed long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed long)-1;
        val = __Pyx_PyInt_AsSignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
    const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed PY_LONG_LONG");
            return (signed PY_LONG_LONG)-1;
        }
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed PY_LONG_LONG");
                return (signed PY_LONG_LONG)-1;
            }
            return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        signed PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsSignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
}

static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        #if PY_VERSION_HEX < 0x02050000
        return PyErr_Warn(NULL, message);
        #else
        return PyErr_WarnEx(NULL, message, 1);
        #endif
    }
    return 0;
}

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 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    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;
}

static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItemString(dict, "__pyx_vtable__", ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    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_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,
            "%s.%s is not a type object",
            module_name, class_name);
        goto bad;
    }
    if (!strict && (size_t)((PyTypeObject *)result)->tp_basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        #if PY_VERSION_HEX < 0x02050000
        if (PyErr_Warn(NULL, warning) < 0) goto bad;
        #else
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
        #endif
    }
    else if ((size_t)((PyTypeObject *)result)->tp_basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%s.%s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

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

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

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


/* Type Conversion Functions */

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_VERSION_HEX < 0x03000000
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_VERSION_HEX < 0x03000000
  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_VERSION_HEX < 0x03000000
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%s__ returned non-%s (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 = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}

static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}

static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
   unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
   if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
       return (size_t)-1;
   } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to size_t");
       return (size_t)-1;
   }
   return (size_t)val;
}


#endif /* Py_PYTHON_H */
