[Scipy-svn] r6654 - trunk/scipy/spatial

scipy-svn@scip... scipy-svn@scip...
Tue Aug 31 16:56:34 CDT 2010


Author: ptvirtan
Date: 2010-08-31 16:56:34 -0500 (Tue, 31 Aug 2010)
New Revision: 6654

Added:
   trunk/scipy/spatial/qhull.c
Log:
GEN: spatial: regenerate qhull.c

Added: trunk/scipy/spatial/qhull.c
===================================================================
--- trunk/scipy/spatial/qhull.c	                        (rev 0)
+++ trunk/scipy/spatial/qhull.c	2010-08-31 21:56:34 UTC (rev 6654)
@@ -0,0 +1,9528 @@
+
+
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+  #define PyInt_FromSize_t             PyLong_FromSize_t
+  #define PyInt_FromSsize_t            PyLong_FromSsize_t
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+  #define PyInt_AS_LONG                PyLong_AS_LONG
+  #define PyInt_AsSsize_t              PyLong_AsSsize_t
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+  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
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+  #define __Pyx_DOCSTR(n)  ((char *)(n))
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+#define __PYX_EXTERN_C extern "C"
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+#define __PYX_EXTERN_C extern
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+#define __PYX_HAVE_API__scipy__spatial__qhull
+#include "stdlib.h"
+#include "numpy/ndarraytypes.h"
+#include "stdio.h"
+#include "numpy/arrayobject.h"
+#include "numpy/ufuncobject.h"
+#include "qhull/src/qset.h"
+#include "qhull/src/qhull.h"
+#include "qhull_blas.h"
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+    #define CYTHON_INLINE 
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+#define T_PYSSIZET T_INT
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+#define T_PYSSIZET \
+        ((sizeof(Py_ssize_t) == sizeof(int))  ? T_INT  : \
+        ((sizeof(Py_ssize_t) == sizeof(long)) ? T_LONG : -1))
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+#define T_PYSSIZET \
+        ((sizeof(Py_ssize_t) == sizeof(int))          ? T_INT      : \
+        ((sizeof(Py_ssize_t) == sizeof(long))         ? T_LONG     : \
+        ((sizeof(Py_ssize_t) == sizeof(PY_LONG_LONG)) ? T_LONGLONG : -1)))
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+#if !defined(T_ULONGLONG)
+#define T_SIZET \
+        ((sizeof(size_t) == sizeof(unsigned int))  ? T_UINT  : \
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+#else
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+        ((sizeof(size_t) == sizeof(unsigned int))          ? T_UINT      : \
+        ((sizeof(size_t) == sizeof(unsigned long))         ? T_ULONG     : \
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+static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
+static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
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+#if __GNUC__ > 2 ||               (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)) 
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+#define likely(x)   (x)
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+#define likely(x)   (x)
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+static PyObject *__pyx_b;
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+static PyObject *__pyx_empty_bytes;
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+static const char * __pyx_cfilenm= __FILE__;
+static const char *__pyx_filename;
+static const char **__pyx_f;
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+
+#if !defined(CYTHON_CCOMPLEX)
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+    #define CYTHON_CCOMPLEX 1
+  #elif defined(_Complex_I)
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+  #else
+    #define CYTHON_CCOMPLEX 0
+  #endif
+#endif
+
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #include <complex>
+  #else
+    #include <complex.h>
+  #endif
+#endif
+
+#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
+  #undef _Complex_I
+  #define _Complex_I 1.0fj
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+typedef npy_int8 __pyx_t_5numpy_int8_t;
+
+typedef npy_int16 __pyx_t_5numpy_int16_t;
+
+typedef npy_int32 __pyx_t_5numpy_int32_t;
+
+typedef npy_int64 __pyx_t_5numpy_int64_t;
+
+typedef npy_uint8 __pyx_t_5numpy_uint8_t;
+
+typedef npy_uint16 __pyx_t_5numpy_uint16_t;
+
+typedef npy_uint32 __pyx_t_5numpy_uint32_t;
+
+typedef npy_uint64 __pyx_t_5numpy_uint64_t;
+
+typedef npy_float32 __pyx_t_5numpy_float32_t;
+
+typedef npy_float64 __pyx_t_5numpy_float64_t;
+
+typedef npy_long __pyx_t_5numpy_int_t;
+
+typedef npy_longlong __pyx_t_5numpy_long_t;
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+typedef npy_intp __pyx_t_5numpy_intp_t;
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+typedef npy_uintp __pyx_t_5numpy_uintp_t;
+
+typedef npy_ulong __pyx_t_5numpy_uint_t;
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+typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
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+typedef npy_double __pyx_t_5numpy_float_t;
+
+typedef npy_double __pyx_t_5numpy_double_t;
+
+typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
+
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    typedef ::std::complex< float > __pyx_t_float_complex;
+  #else
+    typedef float _Complex __pyx_t_float_complex;
+  #endif
+#else
+    typedef struct { float real, imag; } __pyx_t_float_complex;
+#endif
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+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    typedef ::std::complex< double > __pyx_t_double_complex;
+  #else
+    typedef double _Complex __pyx_t_double_complex;
+  #endif
+#else
+    typedef struct { double real, imag; } __pyx_t_double_complex;
+#endif
+
+
+
+typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
+
+typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
+
+typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
+
+typedef npy_cdouble __pyx_t_5numpy_complex_t;
+
+
+
+typedef struct {
+  int ndim;
+  int npoints;
+  int nsimplex;
+  double *points;
+  int *vertices;
+  int *neighbors;
+  double *equations;
+  double *transform;
+  int *vertex_to_simplex;
+  double paraboloid_scale;
+  double paraboloid_shift;
+  double *max_bound;
+  double *min_bound;
+} __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t;
+
+
+
+typedef struct {
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+
+#define __Pyx_GetItemInt_Tuple(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
+                                                    __Pyx_GetItemInt_Tuple_Fast(o, i, size <= sizeof(long)) : \
+                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))
+
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
+    if (likely(o != Py_None)) {
+        if (likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
+            PyObject *r = PyTuple_GET_ITEM(o, i);
+            Py_INCREF(r);
+            return r;
+        }
+        else if ((-PyTuple_GET_SIZE(o) <= i) & (i < 0)) {
+            PyObject *r = PyTuple_GET_ITEM(o, PyTuple_GET_SIZE(o) + i);
+            Py_INCREF(r);
+            return r;
+        }
+    }
+    return __Pyx_GetItemInt_Generic(o, fits_long ? PyInt_FromLong(i) : PyLong_FromLongLong(i));
+}
+
+
+#define __Pyx_GetItemInt(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
+                                                    __Pyx_GetItemInt_Fast(o, i, size <= sizeof(long)) : \
+                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))
+
+static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
+    PyObject *r;
+    if (PyList_CheckExact(o) && ((0 <= i) & (i < PyList_GET_SIZE(o)))) {
+        r = PyList_GET_ITEM(o, i);
+        Py_INCREF(r);
+    }
+    else if (PyTuple_CheckExact(o) && ((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
+        r = PyTuple_GET_ITEM(o, i);
+        Py_INCREF(r);
+    }
+    else if (Py_TYPE(o)->tp_as_sequence && Py_TYPE(o)->tp_as_sequence->sq_item && (likely(i >= 0))) {
+        r = PySequence_GetItem(o, i);
+    }
+    else {
+        r = __Pyx_GetItemInt_Generic(o, fits_long ? PyInt_FromLong(i) : PyLong_FromLongLong(i));
+    }
+    return r;
+}
+
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
+
+static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index); 
+
+static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
+    const char *name, int exact); 
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
+static void __Pyx_ReleaseBuffer(Py_buffer *view);
+#else
+#define __Pyx_GetBuffer PyObject_GetBuffer
+#define __Pyx_ReleaseBuffer PyBuffer_Release
+#endif
+
+Py_ssize_t __Pyx_zeros[] = {0, 0, 0};
+Py_ssize_t __Pyx_minusones[] = {-1, -1, -1};
+
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list); 
+
+static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name); 
+
+static PyObject *__Pyx_CreateClass(PyObject *bases, PyObject *dict, PyObject *name, const char *modname); 
+
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb); 
+
+static CYTHON_INLINE PyObject *__Pyx_PyInt_to_py_npy_intp(npy_intp);
+
+#if CYTHON_CCOMPLEX
+  #ifdef __cplusplus
+    #define __Pyx_CREAL(z) ((z).real())
+    #define __Pyx_CIMAG(z) ((z).imag())
+  #else
+    #define __Pyx_CREAL(z) (__real__(z))
+    #define __Pyx_CIMAG(z) (__imag__(z))
+  #endif
+#else
+    #define __Pyx_CREAL(z) ((z).real)
+    #define __Pyx_CIMAG(z) ((z).imag)
+#endif
+
+#if defined(_WIN32) && defined(__cplusplus) && CYTHON_CCOMPLEX
+    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
+    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
+#else
+    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
+    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
+#endif
+
+static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
+
+#if CYTHON_CCOMPLEX
+    #define __Pyx_c_eqf(a, b)   ((a)==(b))
+    #define __Pyx_c_sumf(a, b)  ((a)+(b))
+    #define __Pyx_c_difff(a, b) ((a)-(b))
+    #define __Pyx_c_prodf(a, b) ((a)*(b))
+    #define __Pyx_c_quotf(a, b) ((a)/(b))
+    #define __Pyx_c_negf(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
+    #define __Pyx_c_conjf(z)    (::std::conj(z))
+    
+  #else
+    #define __Pyx_c_is_zerof(z) ((z)==0)
+    #define __Pyx_c_conjf(z)    (conjf(z))
+    
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex, __pyx_t_float_complex);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex, __pyx_t_float_complex);
+    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);
+    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex);
+    
+#endif
+
+static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
+
+#if CYTHON_CCOMPLEX
+    #define __Pyx_c_eq(a, b)   ((a)==(b))
+    #define __Pyx_c_sum(a, b)  ((a)+(b))
+    #define __Pyx_c_diff(a, b) ((a)-(b))
+    #define __Pyx_c_prod(a, b) ((a)*(b))
+    #define __Pyx_c_quot(a, b) ((a)/(b))
+    #define __Pyx_c_neg(a)     (-(a))
+  #ifdef __cplusplus
+    #define __Pyx_c_is_zero(z) ((z)==(double)0)
+    #define __Pyx_c_conj(z)    (::std::conj(z))
+    
+  #else
+    #define __Pyx_c_is_zero(z) ((z)==0)
+    #define __Pyx_c_conj(z)    (conj(z))
+    
+ #endif
+#else
+    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex, __pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex);
+    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex);
+    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex);
+    
+#endif
+
+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 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); 
+
+static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig); 
+
+static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, long size, int strict);  
+
+static PyObject *__Pyx_ImportModule(const char *name); 
+
+static void __Pyx_AddTraceback(const char *funcname); 
+
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t); 
+
+
+
+
+
+
+
+
+
+
+
+
+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 PyObject *__pyx_f_5numpy_PyArray_MultiIterNew1(PyObject *); 
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew2(PyObject *, PyObject *); 
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew3(PyObject *, PyObject *, PyObject *); 
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew4(PyObject *, PyObject *, PyObject *, PyObject *); 
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew5(PyObject *, PyObject *, PyObject *, PyObject *, PyObject *); 
+static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); 
+static CYTHON_INLINE void __pyx_f_5numpy_set_array_base(PyArrayObject *, PyObject *); 
+static CYTHON_INLINE PyObject *__pyx_f_5numpy_get_array_base(PyArrayObject *); 
+
+
+
+
+static __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_f_5scipy_7spatial_5qhull__get_delaunay_info(PyObject *, int, int); 
+static int __pyx_f_5scipy_7spatial_5qhull__barycentric_inside(int, double *, double *, double *, double); 
+static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinate_single(int, double *, double *, double *, int); 
+static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(int, double *, double *, double *); 
+static void __pyx_f_5scipy_7spatial_5qhull__lift_point(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *); 
+static double __pyx_f_5scipy_7spatial_5qhull__distplane(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, int, double *); 
+static int __pyx_f_5scipy_7spatial_5qhull__is_point_fully_outside(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double); 
+static int __pyx_f_5scipy_7spatial_5qhull__find_simplex_bruteforce(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *, double); 
+static int __pyx_f_5scipy_7spatial_5qhull__find_simplex_directed(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *, int *, double); 
+static int __pyx_f_5scipy_7spatial_5qhull__find_simplex(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, double *, int *, double); 
+static void __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_init(__pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t *, __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, int); 
+static void __pyx_f_5scipy_7spatial_5qhull__RidgeIter2D_next(__pyx_t_5scipy_7spatial_5qhull_RidgeIter2D_t *); 
+static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_double_t = { "numpy.double_t", NULL, sizeof(__pyx_t_5numpy_double_t), 'R' };
+static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int_t = { "numpy.int_t", NULL, sizeof(__pyx_t_5numpy_int_t), 'I' };
+#define __Pyx_MODULE_NAME "scipy.spatial.qhull"
+int __pyx_module_is_main_scipy__spatial__qhull = 0;
+
+
+static PyObject *__pyx_builtin_object;
+static PyObject *__pyx_builtin_property;
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_RuntimeError;
+static PyObject *__pyx_builtin_xrange;
+static PyObject *__pyx_builtin_range;
+static char __pyx_k_1[] = "qhull d Qz Qbb Qt";
+static char __pyx_k_2[] = "No points to triangulate";
+static char __pyx_k_3[] = "Need at least 2-D data to triangulate";
+static char __pyx_k_4[] = "Qhull error";
+static char __pyx_k_5[] = "_qhull_get_facet_array";
+static char __pyx_k_6[] = "qhull: did not free %d bytes (%d pieces)";
+static char __pyx_k_7[] = "non-simplical facet encountered";
+static char __pyx_k_8[] = "_get_barycentric_transforms";
+static char __pyx_k_10[] = "wrong dimensionality in xi";
+static char __pyx_k_11[] = "xi has different dimensionality than triangulation";
+static char __pyx_k_12[] = "ndarray is not C contiguous";
+static char __pyx_k_13[] = "ndarray is not Fortran contiguous";
+static char __pyx_k_14[] = "Non-native byte order not supported";
+static char __pyx_k_15[] = "unknown dtype code in numpy.pxd (%d)";
+static char __pyx_k_16[] = "Format string allocated too short, see comment in numpy.pxd";
+static char __pyx_k_17[] = "Format string allocated too short.";
+static char __pyx_k_18[] = "\nWrappers for Qhull triangulation, plus some additional N-D geometry utilities\n\n.. versionadded:: 0.9\n\n";
+static char __pyx_k_19[] = "\n    Delaunay(points)\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\n    Attributes\n    ----------\n    points : ndarray of double, shape (npoints, ndim)\n        Points in the triangulation\n    vertices : ndarray of ints, shape (nsimplex, ndim+1)\n        Indices of vertices forming 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 coordinates zero.\n\n        For simplex ``i``, ``transform[i,:ndim,:ndim]`` contains\n        inverse of the matrix ``T``, and ``transform[i,ndim,:]``\n        contains the vector ``r``.\n    vertex_to_simplex : ndarray of int, shape (npoints,)\n        Lookup array, from a vertex, to some simplex which it is a part of.\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    Notes\n    -----\n    The tesselation is computed using the Qhull libary [Qhull]_.\n\n    References\n    ----------\n\n    .. [Qhull] http://www.qhull.org/\n\n    ";
+static char __pyx_k__B[] = "B";
+static char __pyx_k__H[] = "H";
+static char __pyx_k__I[] = "I";
+static char __pyx_k__L[] = "L";
+static char __pyx_k__O[] = "O";
+static char __pyx_k__Q[] = "Q";
+static char __pyx_k__b[] = "b";
+static char __pyx_k__d[] = "d";
+static char __pyx_k__e[] = "e";
+static char __pyx_k__f[] = "f";
+static char __pyx_k__g[] = "g";
+static char __pyx_k__h[] = "h";
+static char __pyx_k__i[] = "i";
+static char __pyx_k__l[] = "l";
+static char __pyx_k__p[] = "p";
+static char __pyx_k__q[] = "q";
+static char __pyx_k__x[] = "x";
+static char __pyx_k__Zd[] = "Zd";
+static char __pyx_k__Zf[] = "Zf";
+static char __pyx_k__Zg[] = "Zg";
+static char __pyx_k__id[] = "id";
+static char __pyx_k__np[] = "np";
+static char __pyx_k__xi[] = "xi";
+static char __pyx_k__buf[] = "buf";
+static char __pyx_k__eps[] = "eps";
+static char __pyx_k__int[] = "int";
+static char __pyx_k__max[] = "max";
+static char __pyx_k__min[] = "min";
+static char __pyx_k__nan[] = "nan";
+static char __pyx_k__obj[] = "obj";
+static char __pyx_k__sum[] = "sum";
+static char __pyx_k__tri[] = "tri";
+static char __pyx_k__Lock[] = "Lock";
+static char __pyx_k__axis[] = "axis";
+static char __pyx_k__base[] = "base";
+static char __pyx_k__data[] = "data";
+static char __pyx_k__edge[] = "edge";
+static char __pyx_k__fill[] = "fill";
+static char __pyx_k__info[] = "info";
+static char __pyx_k__ndim[] = "ndim";
+static char __pyx_k__next[] = "next";
+static char __pyx_k__prod[] = "prod";
+static char __pyx_k__self[] = "self";
+static char __pyx_k__descr[] = "descr";
+static char __pyx_k__dtype[] = "dtype";
+static char __pyx_k__empty[] = "empty";
+static char __pyx_k__finfo[] = "finfo";
+static char __pyx_k__names[] = "names";
+static char __pyx_k__numpy[] = "numpy";
+static char __pyx_k__point[] = "point";
+static char __pyx_k__range[] = "range";
+static char __pyx_k__shape[] = "shape";
+static char __pyx_k__zeros[] = "zeros";
+static char __pyx_k__astype[] = "astype";
+static char __pyx_k__double[] = "double";
+static char __pyx_k__fields[] = "fields";
+static char __pyx_k__format[] = "format";
+static char __pyx_k__normal[] = "normal";
+static char __pyx_k__object[] = "object";
+static char __pyx_k__offset[] = "offset";
+static char __pyx_k__points[] = "points";
+static char __pyx_k__resize[] = "resize";
+static char __pyx_k__vertex[] = "vertex";
+static char __pyx_k__xrange[] = "xrange";
+static char __pyx_k____all__[] = "__all__";
+static char __pyx_k__acquire[] = "acquire";
+static char __pyx_k__npoints[] = "npoints";
+static char __pyx_k__release[] = "release";
+static char __pyx_k__reshape[] = "reshape";
+static char __pyx_k__strides[] = "strides";
+static char __pyx_k__tsearch[] = "tsearch";
+static char __pyx_k__vertex2[] = "vertex2";
+static char __pyx_k__Delaunay[] = "Delaunay";
+static char __pyx_k____init__[] = "__init__";
+static char __pyx_k____main__[] = "__main__";
+static char __pyx_k__facet_id[] = "facet_id";
+static char __pyx_k__itemsize[] = "itemsize";
+static char __pyx_k__last_low[] = "last_low";
+static char __pyx_k__nsimplex[] = "nsimplex";
+static char __pyx_k__property[] = "property";
+static char __pyx_k__readonly[] = "readonly";
+static char __pyx_k__triangle[] = "triangle";
+static char __pyx_k__type_num[] = "type_num";
+static char __pyx_k__vertices[] = "vertices";
+static char __pyx_k__NOerrexit[] = "NOerrexit";
+static char __pyx_k__SCALElast[] = "SCALElast";
+static char __pyx_k__byteorder[] = "byteorder";
+static char __pyx_k__equations[] = "equations";
+static char __pyx_k__last_high[] = "last_high";
+static char __pyx_k__max_bound[] = "max_bound";
+static char __pyx_k__min_bound[] = "min_bound";
+static char __pyx_k__neighbors[] = "neighbors";
+static char __pyx_k__numpoints[] = "numpoints";
+static char __pyx_k__threading[] = "threading";
+static char __pyx_k__transform[] = "transform";
+static char __pyx_k__ValueError[] = "ValueError";
+static char __pyx_k___transform[] = "_transform";
+static char __pyx_k__asanyarray[] = "asanyarray";
+static char __pyx_k__bruteforce[] = "bruteforce";
+static char __pyx_k__facet_list[] = "facet_list";
+static char __pyx_k__simplicial[] = "simplicial";
+static char __pyx_k__start_edge[] = "start_edge";
+static char __pyx_k__suboffsets[] = "suboffsets";
+static char __pyx_k___qhull_lock[] = "_qhull_lock";
+static char __pyx_k__convex_hull[] = "convex_hull";
+static char __pyx_k__lift_points[] = "lift_points";
+static char __pyx_k__RuntimeError[] = "RuntimeError";
+static char __pyx_k__find_simplex[] = "find_simplex";
+static char __pyx_k__last_newhigh[] = "last_newhigh";
+static char __pyx_k__upperdelaunay[] = "upperdelaunay";
+static char __pyx_k__plane_distance[] = "plane_distance";
+static char __pyx_k__start_triangle[] = "start_triangle";
+static char __pyx_k__paraboloid_scale[] = "paraboloid_scale";
+static char __pyx_k__paraboloid_shift[] = "paraboloid_shift";
+static char __pyx_k__ascontiguousarray[] = "ascontiguousarray";
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+      __pyx_t_30 = 1;
+      if (__pyx_t_29 < 0) __pyx_t_29 += __pyx_bshape_0_points;
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+
+      
+      __pyx_t_31 = __pyx_v_ivertex;
+      __pyx_t_32 = 1;
+      if (__pyx_t_31 < 0) __pyx_t_31 += __pyx_bshape_0_vertices;
+      if (__pyx_t_32 < 0) __pyx_t_32 += __pyx_bshape_1_vertices;
+      __pyx_t_33 = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_int_t *, __pyx_bstruct_vertices.buf, __pyx_t_31, __pyx_bstride_0_vertices, __pyx_t_32, __pyx_bstride_1_vertices));
+      __pyx_t_34 = 1;
+      if (__pyx_t_33 < 0) __pyx_t_33 += __pyx_bshape_0_points;
+      if (__pyx_t_34 < 0) __pyx_t_34 += __pyx_bshape_1_points;
+      __pyx_v_y2 = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_bstruct_points.buf, __pyx_t_33, __pyx_bstride_0_points, __pyx_t_34, __pyx_bstride_1_points));
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+      
+      __pyx_t_35 = __pyx_v_ivertex;
+      __pyx_t_36 = 2;
+      if (__pyx_t_35 < 0) __pyx_t_35 += __pyx_bshape_0_vertices;
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+      
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+      
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+
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+      
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+      
+      __pyx_t_14 = (__pyx_v_det == 0);
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+
+        
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+
+        
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+        if (unlikely(__pyx_v_det == 0)) {
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+        __pyx_t_39 = __pyx_v_ivertex;
+        __pyx_t_40 = 0;
+        __pyx_t_41 = 0;
+        if (__pyx_t_39 < 0) __pyx_t_39 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_40 < 0) __pyx_t_40 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_41 < 0) __pyx_t_41 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_39, __pyx_bstride_0_Tinvs, __pyx_t_40, __pyx_bstride_1_Tinvs, __pyx_t_41, __pyx_bstride_2_Tinvs) = (__pyx_v_y2 / __pyx_v_det);
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+        
+        __pyx_t_3 = (-__pyx_v_x2);
+        if (unlikely(__pyx_v_det == 0)) {
+          PyErr_Format(PyExc_ZeroDivisionError, "float division");
+          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 357; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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+        __pyx_t_42 = __pyx_v_ivertex;
+        __pyx_t_43 = 0;
+        __pyx_t_44 = 1;
+        if (__pyx_t_42 < 0) __pyx_t_42 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_43 < 0) __pyx_t_43 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_44 < 0) __pyx_t_44 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_42, __pyx_bstride_0_Tinvs, __pyx_t_43, __pyx_bstride_1_Tinvs, __pyx_t_44, __pyx_bstride_2_Tinvs) = (__pyx_t_3 / __pyx_v_det);
+
+        
+        __pyx_t_3 = (-__pyx_v_y1);
+        if (unlikely(__pyx_v_det == 0)) {
+          PyErr_Format(PyExc_ZeroDivisionError, "float division");
+          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 358; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
+        }
+        __pyx_t_45 = __pyx_v_ivertex;
+        __pyx_t_46 = 1;
+        __pyx_t_47 = 0;
+        if (__pyx_t_45 < 0) __pyx_t_45 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_46 < 0) __pyx_t_46 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_47 < 0) __pyx_t_47 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_45, __pyx_bstride_0_Tinvs, __pyx_t_46, __pyx_bstride_1_Tinvs, __pyx_t_47, __pyx_bstride_2_Tinvs) = (__pyx_t_3 / __pyx_v_det);
+
+        
+        if (unlikely(__pyx_v_det == 0)) {
+          PyErr_Format(PyExc_ZeroDivisionError, "float division");
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+        __pyx_t_48 = __pyx_v_ivertex;
+        __pyx_t_49 = 1;
+        __pyx_t_50 = 1;
+        if (__pyx_t_48 < 0) __pyx_t_48 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_49 < 0) __pyx_t_49 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_50 < 0) __pyx_t_50 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_48, __pyx_bstride_0_Tinvs, __pyx_t_49, __pyx_bstride_1_Tinvs, __pyx_t_50, __pyx_bstride_2_Tinvs) = (__pyx_v_x1 / __pyx_v_det);
+
+        
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+        __pyx_t_52 = 2;
+        __pyx_t_53 = 0;
+        if (__pyx_t_51 < 0) __pyx_t_51 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_52 < 0) __pyx_t_52 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_53 < 0) __pyx_t_53 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_51, __pyx_bstride_0_Tinvs, __pyx_t_52, __pyx_bstride_1_Tinvs, __pyx_t_53, __pyx_bstride_2_Tinvs) = __pyx_v_x3;
+
+        
+        __pyx_t_54 = __pyx_v_ivertex;
+        __pyx_t_55 = 2;
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+        if (__pyx_t_54 < 0) __pyx_t_54 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_55 < 0) __pyx_t_55 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_56 < 0) __pyx_t_56 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_54, __pyx_bstride_0_Tinvs, __pyx_t_55, __pyx_bstride_1_Tinvs, __pyx_t_56, __pyx_bstride_2_Tinvs) = __pyx_v_y3;
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+      __pyx_L9:;
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+
+      
+      __pyx_t_57 = __pyx_v_ndim;
+      for (__pyx_t_58 = 0; __pyx_t_58 < __pyx_t_57; __pyx_t_58+=1) {
+        __pyx_v_i = __pyx_t_58;
+
+        
+        __pyx_t_59 = __pyx_v_ivertex;
+        __pyx_t_60 = __pyx_v_ndim;
+        if (__pyx_t_59 < 0) __pyx_t_59 += __pyx_bshape_0_vertices;
+        if (__pyx_t_60 < 0) __pyx_t_60 += __pyx_bshape_1_vertices;
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+        __pyx_t_62 = __pyx_v_i;
+        if (__pyx_t_61 < 0) __pyx_t_61 += __pyx_bshape_0_points;
+        if (__pyx_t_62 < 0) __pyx_t_62 += __pyx_bshape_1_points;
+        __pyx_t_63 = __pyx_v_ivertex;
+        __pyx_t_64 = __pyx_v_ndim;
+        __pyx_t_65 = __pyx_v_i;
+        if (__pyx_t_63 < 0) __pyx_t_63 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_64 < 0) __pyx_t_64 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_65 < 0) __pyx_t_65 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_63, __pyx_bstride_0_Tinvs, __pyx_t_64, __pyx_bstride_1_Tinvs, __pyx_t_65, __pyx_bstride_2_Tinvs) = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_bstruct_points.buf, __pyx_t_61, __pyx_bstride_0_points, __pyx_t_62, __pyx_bstride_1_points));
+
+        
+        __pyx_t_66 = __pyx_v_ndim;
+        for (__pyx_t_67 = 0; __pyx_t_67 < __pyx_t_66; __pyx_t_67+=1) {
+          __pyx_v_j = __pyx_t_67;
+
+          
+          __pyx_t_68 = __pyx_v_ivertex;
+          __pyx_t_69 = __pyx_v_j;
+          if (__pyx_t_68 < 0) __pyx_t_68 += __pyx_bshape_0_vertices;
+          if (__pyx_t_69 < 0) __pyx_t_69 += __pyx_bshape_1_vertices;
+          __pyx_t_70 = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_int_t *, __pyx_bstruct_vertices.buf, __pyx_t_68, __pyx_bstride_0_vertices, __pyx_t_69, __pyx_bstride_1_vertices));
+          __pyx_t_71 = __pyx_v_i;
+          if (__pyx_t_70 < 0) __pyx_t_70 += __pyx_bshape_0_points;
+          if (__pyx_t_71 < 0) __pyx_t_71 += __pyx_bshape_1_points;
+
+          
+          __pyx_t_72 = __pyx_v_ivertex;
+          __pyx_t_73 = __pyx_v_ndim;
+          __pyx_t_74 = __pyx_v_i;
+          if (__pyx_t_72 < 0) __pyx_t_72 += __pyx_bshape_0_Tinvs;
+          if (__pyx_t_73 < 0) __pyx_t_73 += __pyx_bshape_1_Tinvs;
+          if (__pyx_t_74 < 0) __pyx_t_74 += __pyx_bshape_2_Tinvs;
+
+          
+          __pyx_t_75 = __pyx_v_i;
+          __pyx_t_76 = __pyx_v_j;
+          if (__pyx_t_75 < 0) __pyx_t_75 += __pyx_bshape_0_T;
+          if (__pyx_t_76 < 0) __pyx_t_76 += __pyx_bshape_1_T;
+          *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_bstruct_T.buf, __pyx_t_75, __pyx_bstride_0_T, __pyx_t_76, __pyx_bstride_1_T) = ((*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_bstruct_points.buf, __pyx_t_70, __pyx_bstride_0_points, __pyx_t_71, __pyx_bstride_1_points)) - (*__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_72, __pyx_bstride_0_Tinvs, __pyx_t_73, __pyx_bstride_1_Tinvs, __pyx_t_74, __pyx_bstride_2_Tinvs)));
+        }
+
+        
+        __pyx_t_66 = __pyx_v_ivertex;
+        __pyx_t_67 = __pyx_v_i;
+        __pyx_t_77 = __pyx_v_i;
+        if (__pyx_t_66 < 0) __pyx_t_66 += __pyx_bshape_0_Tinvs;
+        if (__pyx_t_67 < 0) __pyx_t_67 += __pyx_bshape_1_Tinvs;
+        if (__pyx_t_77 < 0) __pyx_t_77 += __pyx_bshape_2_Tinvs;
+        *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_66, __pyx_bstride_0_Tinvs, __pyx_t_67, __pyx_bstride_1_Tinvs, __pyx_t_77, __pyx_bstride_2_Tinvs) = 1;
+      }
+
+      
+      __pyx_v_n = __pyx_v_ndim;
+
+      
+      __pyx_v_nrhs = __pyx_v_ndim;
+
+      
+      __pyx_v_lda = __pyx_v_ndim;
+
+      
+      __pyx_v_ldb = __pyx_v_ndim;
+
+      
+      qh_dgesv((&__pyx_v_n), (&__pyx_v_nrhs), ((double *)__pyx_v_T->data), (&__pyx_v_lda), __pyx_v_ipiv, (((double *)__pyx_v_Tinvs->data) + ((__pyx_v_ndim * (__pyx_v_ndim + 1)) * __pyx_v_ivertex)), (&__pyx_v_ldb), (&__pyx_v_info));
+    }
+    __pyx_L8:;
+
+    
+    __pyx_t_14 = (__pyx_v_info != 0);
+    if (__pyx_t_14) {
+
+      
+      __pyx_t_78 = (__pyx_v_ndim + 1);
+      for (__pyx_t_57 = 0; __pyx_t_57 < __pyx_t_78; __pyx_t_57+=1) {
+        __pyx_v_i = __pyx_t_57;
+
+        
+        __pyx_t_58 = __pyx_v_ndim;
+        for (__pyx_t_79 = 0; __pyx_t_79 < __pyx_t_58; __pyx_t_79+=1) {
+          __pyx_v_j = __pyx_t_79;
+
+          
+          __pyx_t_80 = __pyx_v_ivertex;
+          __pyx_t_81 = __pyx_v_i;
+          __pyx_t_82 = __pyx_v_j;
+          if (__pyx_t_80 < 0) __pyx_t_80 += __pyx_bshape_0_Tinvs;
+          if (__pyx_t_81 < 0) __pyx_t_81 += __pyx_bshape_1_Tinvs;
+          if (__pyx_t_82 < 0) __pyx_t_82 += __pyx_bshape_2_Tinvs;
+          *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_bstruct_Tinvs.buf, __pyx_t_80, __pyx_bstride_0_Tinvs, __pyx_t_81, __pyx_bstride_1_Tinvs, __pyx_t_82, __pyx_bstride_2_Tinvs) = __pyx_v_nan;
+        }
+      }
+      goto __pyx_L14;
+    }
+    __pyx_L14:;
+  }
+
+  
+  __Pyx_XDECREF(__pyx_r);
+  __Pyx_INCREF(((PyObject *)__pyx_v_Tinvs));
+  __pyx_r = ((PyObject *)__pyx_v_Tinvs);
+  goto __pyx_L0;
+
+  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  __Pyx_XDECREF(__pyx_t_2);
+  __Pyx_XDECREF(__pyx_t_4);
+  __Pyx_XDECREF(__pyx_t_5);
+  __Pyx_XDECREF(__pyx_t_6);
+  { PyObject *__pyx_type, *__pyx_value, *__pyx_tb;
+    __Pyx_ErrFetch(&__pyx_type, &__pyx_value, &__pyx_tb);
+    __Pyx_SafeReleaseBuffer(&__pyx_bstruct_Tinvs);
+    __Pyx_SafeReleaseBuffer(&__pyx_bstruct_T);
+    __Pyx_SafeReleaseBuffer(&__pyx_bstruct_vertices);
+    __Pyx_SafeReleaseBuffer(&__pyx_bstruct_points);
+  __Pyx_ErrRestore(__pyx_type, __pyx_value, __pyx_tb);}
+  __Pyx_AddTraceback("scipy.spatial.qhull._get_barycentric_transforms");
+  __pyx_r = NULL;
+  goto __pyx_L2;
+  __pyx_L0:;
+  __Pyx_SafeReleaseBuffer(&__pyx_bstruct_Tinvs);
+  __Pyx_SafeReleaseBuffer(&__pyx_bstruct_T);
+  __Pyx_SafeReleaseBuffer(&__pyx_bstruct_vertices);
+  __Pyx_SafeReleaseBuffer(&__pyx_bstruct_points);
+  __pyx_L2:;
+  __Pyx_DECREF((PyObject *)__pyx_v_T);
+  __Pyx_DECREF((PyObject *)__pyx_v_Tinvs);
+  __Pyx_DECREF((PyObject *)__pyx_v_points);
+  __Pyx_DECREF((PyObject *)__pyx_v_vertices);
+  __Pyx_XGIVEREF(__pyx_r);
+  __Pyx_RefNannyFinishContext();
+  return __pyx_r;
+}
+
+
+
+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;
+  double __pyx_t_5;
+  int __pyx_t_6;
+  int __pyx_t_7;
+
+  
+  (__pyx_v_c[__pyx_v_ndim]) = 1.0;
+
+  
+  __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;
+
+    
+    (__pyx_v_c[__pyx_v_i]) = 0;
+
+    
+    __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;
+
+      
+      (__pyx_v_c[__pyx_v_i]) += ((__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_v_c[__pyx_v_ndim]) -= (__pyx_v_c[__pyx_v_i]);
+
+    
+    __pyx_t_5 = (__pyx_v_c[__pyx_v_i]);
+    __pyx_t_6 = ((-__pyx_v_eps) <= __pyx_t_5);
+    if (__pyx_t_6) {
+      __pyx_t_6 = (__pyx_t_5 <= (1 + __pyx_v_eps));
+    }
+    __pyx_t_7 = (!__pyx_t_6);
+    if (__pyx_t_7) {
+
+      
+      __pyx_r = 0;
+      goto __pyx_L0;
+      goto __pyx_L7;
+    }
+    __pyx_L7:;
+  }
+
+  
+  __pyx_t_5 = (__pyx_v_c[__pyx_v_ndim]);
+  __pyx_t_7 = ((-__pyx_v_eps) <= __pyx_t_5);
+  if (__pyx_t_7) {
+    __pyx_t_7 = (__pyx_t_5 <= (1 + __pyx_v_eps));
+  }
+  __pyx_t_6 = (!__pyx_t_7);
+  if (__pyx_t_6) {
+
+    
+    __pyx_r = 0;
+    goto __pyx_L0;
+    goto __pyx_L8;
+  }
+  __pyx_L8:;
+
+  
+  __pyx_r = 1;
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+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;
+
+  
+  __pyx_t_1 = (__pyx_v_i == __pyx_v_ndim);
+  if (__pyx_t_1) {
+
+    
+    (__pyx_v_c[__pyx_v_ndim]) = 1.0;
+
+    
+    __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;
+
+      
+      (__pyx_v_c[__pyx_v_ndim]) -= (__pyx_v_c[__pyx_v_j]);
+    }
+    goto __pyx_L3;
+  }
+   {
+
+    
+    (__pyx_v_c[__pyx_v_i]) = 0;
+
+    
+    __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;
+
+      
+      (__pyx_v_c[__pyx_v_i]) += ((__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:;
+
+}
+
+
+
+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;
+
+  
+  (__pyx_v_c[__pyx_v_ndim]) = 1.0;
+
+  
+  __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;
+
+    
+    (__pyx_v_c[__pyx_v_i]) = 0;
+
+    
+    __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;
+
+      
+      (__pyx_v_c[__pyx_v_i]) += ((__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_v_c[__pyx_v_ndim]) -= (__pyx_v_c[__pyx_v_i]);
+  }
+
+}
+
+
+
+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;
+
+  
+  (__pyx_v_z[__pyx_v_d->ndim]) = 0;
+
+  
+  __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;
+
+    
+    (__pyx_v_z[__pyx_v_i]) = (__pyx_v_x[__pyx_v_i]);
+
+    
+    (__pyx_v_z[__pyx_v_d->ndim]) += pow((__pyx_v_x[__pyx_v_i]), 2);
+  }
+
+  
+  (__pyx_v_z[__pyx_v_d->ndim]) *= __pyx_v_d->paraboloid_scale;
+
+  
+  (__pyx_v_z[__pyx_v_d->ndim]) += __pyx_v_d->paraboloid_shift;
+
+}
+
+
+
+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;
+
+  
+  __pyx_v_dist = (__pyx_v_d->equations[(((__pyx_v_isimplex * (__pyx_v_d->ndim + 2)) + __pyx_v_d->ndim) + 1)]);
+
+  
+  __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;
+
+    
+    __pyx_v_dist += ((__pyx_v_d->equations[((__pyx_v_isimplex * (__pyx_v_d->ndim + 2)) + __pyx_v_k)]) * (__pyx_v_point[__pyx_v_k]));
+  }
+
+  
+  __pyx_r = __pyx_v_dist;
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+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;
+  int __pyx_v_start;
+  int __pyx_t_1;
+  int __pyx_t_2;
+
+  
+  __pyx_v_start = 0;
+
+  
+  __pyx_v_it->info = __pyx_v_d;
+
+  
+  __pyx_v_it->vertex = __pyx_v_vertex;
+
+  
+  __pyx_v_it->triangle = (__pyx_v_d->vertex_to_simplex[__pyx_v_vertex]);
+
+  
+  __pyx_v_it->start_triangle = __pyx_v_it->triangle;
+
+  
+  __pyx_t_1 = (__pyx_v_it->triangle != -1);
+  if (__pyx_t_1) {
+
+    
+    for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
+      __pyx_v_k = __pyx_t_2;
+
+      
+      __pyx_v_ivertex = (__pyx_v_it->info->vertices[((__pyx_v_it->triangle * 3) + __pyx_v_k)]);
+
+      
+      __pyx_t_1 = (__pyx_v_ivertex != __pyx_v_vertex);
+      if (__pyx_t_1) {
+
+        
+        __pyx_v_it->vertex2 = __pyx_v_ivertex;
+
+        
+        __pyx_v_it->edge = __pyx_v_k;
+
+        
+        __pyx_v_it->start_edge = __pyx_v_k;
+
+        
+        goto __pyx_L5_break;
+        goto __pyx_L6;
+      }
+      __pyx_L6:;
+    }
+    __pyx_L5_break:;
+    goto __pyx_L3;
+  }
+   {
+
+    
+    __pyx_v_it->start_edge = -1;
+
+    
+    __pyx_v_it->edge = -1;
+  }
+  __pyx_L3:;
+
+}
+
+
+
+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;
+
+  
+  __pyx_v_itri = (__pyx_v_it->info->neighbors[((__pyx_v_it->triangle * 3) + __pyx_v_it->edge)]);
+
+  
+  __pyx_t_1 = (__pyx_v_itri == -1);
+  if (__pyx_t_1) {
+
+    
+    __pyx_t_1 = (__pyx_v_it->start_edge == -1);
+    if (__pyx_t_1) {
+
+      
+      __pyx_v_it->edge = -1;
+
+      
+      goto __pyx_L0;
+      goto __pyx_L4;
+    }
+    __pyx_L4:;
+
+    
+    for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
+      __pyx_v_k = __pyx_t_2;
+
+      
+      __pyx_v_ivertex = (__pyx_v_it->info->vertices[((__pyx_v_it->triangle * 3) + __pyx_v_k)]);
+
+      
+      __pyx_t_1 = (__pyx_v_ivertex != __pyx_v_it->vertex);
+      if (__pyx_t_1) {
+        __pyx_t_3 = (__pyx_v_k != __pyx_v_it->start_edge);
+        __pyx_t_4 = __pyx_t_3;
+      } else {
+        __pyx_t_4 = __pyx_t_1;
+      }
+      if (__pyx_t_4) {
+
+        
+        __pyx_v_it->edge = __pyx_v_k;
+
+        
+        __pyx_v_it->vertex2 = __pyx_v_ivertex;
+
+        
+        goto __pyx_L6_break;
+        goto __pyx_L7;
+      }
+      __pyx_L7:;
+    }
+    __pyx_L6_break:;
+
+    
+    __pyx_v_it->start_edge = -1;
+
+    
+    goto __pyx_L0;
+    goto __pyx_L3;
+  }
+  __pyx_L3:;
+
+  
+  for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
+    __pyx_v_k = __pyx_t_2;
+
+    
+    __pyx_v_ivertex = (__pyx_v_it->info->vertices[((__pyx_v_itri * 3) + __pyx_v_k)]);
+
+    
+    __pyx_t_4 = ((__pyx_v_it->info->neighbors[((__pyx_v_itri * 3) + __pyx_v_k)]) != __pyx_v_it->triangle);
+    if (__pyx_t_4) {
+
+      
+      __pyx_t_1 = (__pyx_v_ivertex != __pyx_v_it->vertex);
+      __pyx_t_3 = __pyx_t_1;
+    } else {
+      __pyx_t_3 = __pyx_t_4;
+    }
+    if (__pyx_t_3) {
+
+      
+      __pyx_v_it->edge = __pyx_v_k;
+
+      
+      __pyx_v_it->vertex2 = __pyx_v_ivertex;
+
+      
+      goto __pyx_L9_break;
+      goto __pyx_L10;
+    }
+    __pyx_L10:;
+  }
+  __pyx_L9_break:;
+
+  
+  __pyx_v_it->triangle = __pyx_v_itri;
+
+  
+  __pyx_t_3 = (__pyx_v_it->triangle == __pyx_v_it->start_triangle);
+  if (__pyx_t_3) {
+
+    
+    __pyx_v_it->edge = -1;
+
+    
+    goto __pyx_L0;
+    goto __pyx_L11;
+  }
+  __pyx_L11:;
+
+  __pyx_L0:;
+}
+
+
+
+static  int __pyx_f_5scipy_7spatial_5qhull__is_point_fully_outside(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_x, double __pyx_v_eps) {
+  int __pyx_v_i;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+  int __pyx_t_5;
+
+  
+  __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;
+
+    
+    __pyx_t_3 = ((__pyx_v_x[__pyx_v_i]) < ((__pyx_v_d->min_bound[__pyx_v_i]) - __pyx_v_eps));
+    if (!__pyx_t_3) {
+      __pyx_t_4 = ((__pyx_v_x[__pyx_v_i]) > ((__pyx_v_d->max_bound[__pyx_v_i]) + __pyx_v_eps));
+      __pyx_t_5 = __pyx_t_4;
+    } else {
+      __pyx_t_5 = __pyx_t_3;
+    }
+    if (__pyx_t_5) {
+
+      
+      __pyx_r = 1;
+      goto __pyx_L0;
+      goto __pyx_L5;
+    }
+    __pyx_L5:;
+  }
+
+  
+  __pyx_r = 0;
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+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) {
+  int __pyx_v_inside;
+  int __pyx_v_isimplex;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+
+  
+  __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) {
+
+    
+    __pyx_r = -1;
+    goto __pyx_L0;
+    goto __pyx_L3;
+  }
+  __pyx_L3:;
+
+  
+  __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;
+
+    
+    __pyx_v_inside = __pyx_f_5scipy_7spatial_5qhull__barycentric_inside(__pyx_v_d->ndim, (__pyx_v_d->transform + ((__pyx_v_isimplex * __pyx_v_d->ndim) * (__pyx_v_d->ndim + 1))), __pyx_v_x, __pyx_v_c, __pyx_v_eps);
+
+    
+    __pyx_t_3 = __pyx_v_inside;
+    if (__pyx_t_3) {
+
+      
+      __pyx_r = __pyx_v_isimplex;
+      goto __pyx_L0;
+      goto __pyx_L6;
+    }
+    __pyx_L6:;
+  }
+
+  
+  __pyx_r = -1;
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+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) {
+  int __pyx_v_k;
+  int __pyx_v_m;
+  int __pyx_v_ndim;
+  int __pyx_v_inside;
+  int __pyx_v_isimplex;
+  double *__pyx_v_transform;
+  double __pyx_v_v;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  long __pyx_t_4;
+  int __pyx_t_5;
+
+  
+  __pyx_v_ndim = __pyx_v_d->ndim;
+
+  
+  __pyx_v_isimplex = (__pyx_v_start[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) {
+
+    
+    __pyx_v_isimplex = 0;
+    goto __pyx_L3;
+  }
+  __pyx_L3:;
+
+  
+  while (1) {
+    __pyx_t_3 = (__pyx_v_isimplex != -1);
+    if (!__pyx_t_3) break;
+
+    
+    __pyx_v_transform = (__pyx_v_d->transform + ((__pyx_v_isimplex * __pyx_v_ndim) * (__pyx_v_ndim + 1)));
+
+    
+    __pyx_v_inside = 1;
+
+    
+    __pyx_t_4 = (__pyx_v_ndim + 1);
+    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
+      __pyx_v_k = __pyx_t_5;
+
+      
+      __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinate_single(__pyx_v_ndim, __pyx_v_transform, __pyx_v_x, __pyx_v_c, __pyx_v_k);
+
+      
+      __pyx_t_3 = ((__pyx_v_c[__pyx_v_k]) < (-__pyx_v_eps));
+      if (__pyx_t_3) {
+
+        
+        __pyx_v_m = (__pyx_v_d->neighbors[(((__pyx_v_ndim + 1) * __pyx_v_isimplex) + __pyx_v_k)]);
+
+        
+        __pyx_t_3 = (__pyx_v_m == -1);
+        if (__pyx_t_3) {
+
+          
+          (__pyx_v_start[0]) = __pyx_v_isimplex;
+
+          
+          __pyx_r = -1;
+          goto __pyx_L0;
+          goto __pyx_L9;
+        }
+        __pyx_L9:;
+
+        
+        __pyx_v_v = (__pyx_v_d->transform[((__pyx_v_m * __pyx_v_ndim) * (__pyx_v_ndim + 1))]);
+
+        
+        __pyx_t_3 = (__pyx_v_v != __pyx_v_v);
+        if (__pyx_t_3) {
+
+          
+          goto __pyx_L6_continue;
+          goto __pyx_L10;
+        }
+         {
+
+          
+          __pyx_v_isimplex = __pyx_v_m;
+
+          
+          __pyx_v_inside = -1;
+
+          
+          goto __pyx_L7_break;
+        }
+        __pyx_L10:;
+        goto __pyx_L8;
+      }
+
+      
+      __pyx_t_3 = ((__pyx_v_c[__pyx_v_k]) > (1 + __pyx_v_eps));
+      if (__pyx_t_3) {
+
+        
+        __pyx_v_inside = 0;
+        goto __pyx_L8;
+      }
+      __pyx_L8:;
+      __pyx_L6_continue:;
+    }
+    __pyx_L7_break:;
+
+    
+    switch (__pyx_v_inside) {
+      case -1:
+
+      
+      goto __pyx_L4_continue;
+      break;
+
+      
+      case 1:
+
+      
+      goto __pyx_L5_break;
+      break;
+      default:
+
+      
+      __pyx_v_isimplex = __pyx_f_5scipy_7spatial_5qhull__find_simplex_bruteforce(__pyx_v_d, __pyx_v_c, __pyx_v_x, __pyx_v_eps);
+
+      
+      goto __pyx_L5_break;
+      break;
+    }
+    __pyx_L4_continue:;
+  }
+  __pyx_L5_break:;
+
+  
+  (__pyx_v_start[0]) = __pyx_v_isimplex;
+
+  
+  __pyx_r = __pyx_v_isimplex;
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+static  int __pyx_f_5scipy_7spatial_5qhull__find_simplex(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_c, double *__pyx_v_x, int *__pyx_v_start, double __pyx_v_eps) {
+  int __pyx_v_isimplex;
+  int __pyx_v_k;
+  int __pyx_v_ineigh;
+  int __pyx_v_ndim;
+  double __pyx_v_z[(NPY_MAXDIMS + 1)];
+  double __pyx_v_best_dist;
+  double __pyx_v_dist;
+  int __pyx_v_changed;
+  int __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+  int __pyx_t_3;
+  int __pyx_t_4;
+  long __pyx_t_5;
+
+  
+  __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) {
+
+    
+    __pyx_r = -1;
+    goto __pyx_L0;
+    goto __pyx_L3;
+  }
+  __pyx_L3:;
+
+  
+  __pyx_t_2 = (__pyx_v_d->nsimplex <= 0);
+  if (__pyx_t_2) {
+
+    
+    __pyx_r = -1;
+    goto __pyx_L0;
+    goto __pyx_L4;
+  }
+  __pyx_L4:;
+
+  
+  __pyx_v_ndim = __pyx_v_d->ndim;
+
+  
+  __pyx_v_isimplex = (__pyx_v_start[0]);
+
+  
+  __pyx_t_2 = (__pyx_v_isimplex < 0);
+  if (!__pyx_t_2) {
+    __pyx_t_3 = (__pyx_v_isimplex >= __pyx_v_d->nsimplex);
+    __pyx_t_4 = __pyx_t_3;
+  } else {
+    __pyx_t_4 = __pyx_t_2;
+  }
+  if (__pyx_t_4) {
+
+    
+    __pyx_v_isimplex = 0;
+    goto __pyx_L5;
+  }
+  __pyx_L5:;
+
+  
+  __pyx_f_5scipy_7spatial_5qhull__lift_point(__pyx_v_d, __pyx_v_x, __pyx_v_z);
+
+  
+  __pyx_v_best_dist = __pyx_f_5scipy_7spatial_5qhull__distplane(__pyx_v_d, __pyx_v_isimplex, __pyx_v_z);
+
+  
+  __pyx_v_changed = 1;
+
+  
+  while (1) {
+    __pyx_t_1 = __pyx_v_changed;
+    if (!__pyx_t_1) break;
+
+    
+    __pyx_t_4 = (__pyx_v_best_dist > 0);
+    if (__pyx_t_4) {
+
+      
+      goto __pyx_L7_break;
+      goto __pyx_L8;
+    }
+    __pyx_L8:;
+
+    
+    __pyx_v_changed = 0;
+
+    
+    __pyx_t_5 = (__pyx_v_ndim + 1);
+    for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_5; __pyx_t_1+=1) {
+      __pyx_v_k = __pyx_t_1;
+
+      
+      __pyx_v_ineigh = (__pyx_v_d->neighbors[(((__pyx_v_ndim + 1) * __pyx_v_isimplex) + __pyx_v_k)]);
+
+      
+      __pyx_t_4 = (__pyx_v_ineigh == -1);
+      if (__pyx_t_4) {
+
+        
+        goto __pyx_L9_continue;
+        goto __pyx_L11;
+      }
+      __pyx_L11:;
+
+      
+      __pyx_v_dist = __pyx_f_5scipy_7spatial_5qhull__distplane(__pyx_v_d, __pyx_v_ineigh, __pyx_v_z);
+
+      
+      __pyx_t_4 = (__pyx_v_dist > __pyx_v_best_dist);
+      if (__pyx_t_4) {
+
+        
+        __pyx_v_isimplex = __pyx_v_ineigh;
+
+        
+        __pyx_v_best_dist = __pyx_v_dist;
+
+        
+        __pyx_v_changed = 1;
+        goto __pyx_L12;
+      }
+      __pyx_L12:;
+      __pyx_L9_continue:;
+    }
+  }
+  __pyx_L7_break:;
+
+  
+  (__pyx_v_start[0]) = __pyx_v_isimplex;
+
+  
+  __pyx_r = __pyx_f_5scipy_7spatial_5qhull__find_simplex_directed(__pyx_v_d, __pyx_v_c, __pyx_v_x, __pyx_v_start, __pyx_v_eps);
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay___init__(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); 
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+  PyObject *__pyx_v_vertices;
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+  PyObject *__pyx_v_equations;
+  PyObject *__pyx_v_paraboloid_scale;
+  PyObject *__pyx_v_paraboloid_shift;
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+  PyObject *__pyx_t_2 = NULL;
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+  PyObject *__pyx_t_5 = NULL;
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+    switch (PyTuple_GET_SIZE(__pyx_args)) {
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+  __Pyx_GOTREF(__pyx_t_3);
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+  __Pyx_GOTREF(__pyx_t_6);
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+
+static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': 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_s_long_long) - 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;
+    }
+}
+
+static size_t __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
+  switch (ch) {
+    case 'c': case 'b': case 'h': case 'i': case 'l': case 'q': return 'I';
+    case 'B': case 'H': case 'I': case 'L': case 'Q': return 'U';
+    case 'f': case 'd': case 'g': return (is_complex ? 'C' : 'R');
+    case 'O': return 'O';
+    case 'P': return 'P';
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }    
+  }
+}
+
+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset;
+  if (ctx->enc_type == 0) return 0;
+  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
+  do {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_TypeInfo* type = field->type;
+  
+    if (ctx->packmode == '@' || ctx->packmode == '^') {
+      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
+    } else {
+      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
+    }
+    if (ctx->packmode == '@') {
+      int align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
+      int 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 (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;
+      }
+    
+      __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 %"PY_FORMAT_SIZE_T"d "
+                   "but %"PY_FORMAT_SIZE_T"d expected", ctx->fmt_offset, offset);
+      return -1;
+    }
+
+    ctx->fmt_offset += size;
+  
+    --ctx->enc_count; 
+
+    
+    while (1) {
+      if (field == &ctx->root) {
+        ctx->head = NULL;
+        if (ctx->enc_count != 0) {
+          __Pyx_BufFmt_RaiseExpected(ctx);
+          return -1;
+        }
+        break; 
+      }
+      ctx->head->field = ++field;
+      if (field->type == NULL) {
+        --ctx->head;
+        field = ctx->head->field;
+        continue;
+      } else if (field->type->typegroup == 'S') {
+        size_t parent_offset = ctx->head->parent_offset + field->offset;
+        if (field->type->fields->type == NULL) continue; 
+        field = field->type->fields;
+        ++ctx->head;
+        ctx->head->field = field;
+        ctx->head->parent_offset = parent_offset;
+        break;
+      } else {
+        break;
+      }
+    }
+  } while (ctx->enc_count);
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  return 0;    
+}
+
+static int __Pyx_BufFmt_FirstPack(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->enc_type != 0 || ctx->packmode != '@') {
+    PyErr_SetString(PyExc_ValueError, "Buffer packing mode currently only allowed at beginning of format string (this is a defect)");
+    return -1;
+  }
+  return 0;
+}
+
+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;
+        }
+        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
+        ctx->packmode = '=';
+        ++ts;
+        break;
+      case '>':
+      case '!':
+        if (__Pyx_IsLittleEndian()) {
+          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
+          return NULL;
+        }
+        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
+        ctx->packmode = '=';
+        ++ts;
+        break;
+      case '=':
+      case '@':
+      case '^':
+        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
+        ctx->packmode = *ts++;
+        break;
+      case 'T': 
+        {
+          int i;
+          const char* ts_after_sub;
+          int struct_count = ctx->new_count;
+          ctx->new_count = 1;
+          ++ts;
+          if (*ts != '{') {
+            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
+            return NULL;
+          }
+          ++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;
+        }
+        break;
+      case '}': 
+        ++ts;
+        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;
+        ++ts;
+        break;
+      case 'Z':
+        got_Z = 1;
+        ++ts;
+        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
+          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
+          return NULL;
+        }        
+      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
+      case 'l': case 'L': case 'q': case 'Q':
+      case 'f': case 'd': case 'g':
+      case 'O':
+        if (ctx->enc_type == *ts && got_Z == ctx->is_complex) {
+          
+          ctx->enc_count += ctx->new_count;
+        } else {
+          
+          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
+          ctx->enc_count = ctx->new_count;
+          ctx->enc_type = *ts;
+          ctx->is_complex = got_Z;
+        }
+        ++ts;
+        ctx->new_count = 1;
+        got_Z = 0;
+        break;
+      default:
+        {
+          ctx->new_count = __Pyx_BufFmt_ParseNumber(&ts);
+          if (ctx->new_count == -1) { 
+            char msg[2] = { *ts, 0 };
+            PyErr_Format(PyExc_ValueError,
+                         "Does not understand character buffer dtype format string ('%s')", msg);
+            return NULL;
+          }
+        }
+      
+    }
+  }
+}
+
+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 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) {
+    __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 (%"PY_FORMAT_SIZE_T"d byte%s) does not match size of '%s' (%"PY_FORMAT_SIZE_T"d byte%s)",
+      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
+      dtype->name,
+      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_RaiseNeedMoreValuesError(Py_ssize_t index) {
+    PyErr_Format(PyExc_ValueError,
+        #if PY_VERSION_HEX < 0x02050000
+                 "need more than %d value%s to unpack", (int)index,
+        #else
+                 "need more than %zd value%s to unpack", index,
+        #endif
+                 (index == 1) ? "" : "s");
+}
+
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(void) {
+    PyErr_SetString(PyExc_ValueError, "too many values to unpack");
+}
+
+static PyObject *__Pyx_UnpackItem(PyObject *iter, Py_ssize_t index) {
+    PyObject *item;
+    if (!(item = PyIter_Next(iter))) {
+        if (!PyErr_Occurred()) {
+            __Pyx_RaiseNeedMoreValuesError(index);
+        }
+    }
+    return item;
+}
+
+static int __Pyx_EndUnpack(PyObject *iter) {
+    PyObject *item;
+    if ((item = PyIter_Next(iter))) {
+        Py_DECREF(item);
+        __Pyx_RaiseTooManyValuesError();
+        return -1;
+    }
+    else if (!PyErr_Occurred())
+        return 0;
+    else
+        return -1;
+}
+
+static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
+    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);
+}
+
+static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
+    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;
+}
+
+
+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_AS_STRING(kw_name));
+        #endif
+}
+
+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 *number, *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";
+    }
+    number = (num_expected == 1) ? "" : "s";
+    PyErr_Format(PyExc_TypeError,
+        #if PY_VERSION_HEX < 0x02050000
+            "%s() takes %s %d positional argument%s (%d given)",
+        #else
+            "%s() takes %s %zd positional argument%s (%zd given)",
+        #endif
+        func_name, more_or_less, num_expected, number, num_found);
+}
+
+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;
+        } else {
+            #if PY_MAJOR_VERSION < 3
+            if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key))) {
+            #else
+            if (unlikely(!PyUnicode_CheckExact(key)) && unlikely(!PyUnicode_Check(key))) {
+            #endif
+                goto invalid_keyword_type;
+            } else {
+                for (name = first_kw_arg; *name; name++) {
+                    #if PY_MAJOR_VERSION >= 3
+                    if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
+                        PyUnicode_Compare(**name, key) == 0) break;
+                    #else
+                    if (PyString_GET_SIZE(**name) == PyString_GET_SIZE(key) &&
+                        _PyString_Eq(**name, key)) break;
+                    #endif
+                }
+                if (*name) {
+                    values[name-argnames] = value;
+                } else {
+                    
+                    for (name=argnames; name != first_kw_arg; name++) {
+                        if (**name == key) goto arg_passed_twice;
+                        #if PY_MAJOR_VERSION >= 3
+                        if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
+                            PyUnicode_Compare(**name, key) == 0) goto arg_passed_twice;
+                        #else
+                        if (PyString_GET_SIZE(**name) == PyString_GET_SIZE(key) &&
+                            _PyString_Eq(**name, key)) goto arg_passed_twice;
+                        #endif
+                    }
+                    if (kwds2) {
+                        if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
+                    } else {
+                        goto invalid_keyword;
+                    }
+                }
+            }
+        }
+    }
+    return 0;
+arg_passed_twice:
+    __Pyx_RaiseDoubleKeywordsError(function_name, **name);
+    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 void __Pyx_RaiseBufferIndexError(int axis) {
+  PyErr_Format(PyExc_IndexError,
+     "Out of bounds on buffer access (axis %d)", axis);
+}
+
+
+
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
+    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
+}
+
+static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
+    if (t == Py_None) {
+      __Pyx_RaiseNoneNotIterableError();
+    } else if (PyTuple_GET_SIZE(t) < index) {
+      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
+    } else {
+      __Pyx_RaiseTooManyValuesError();
+    }
+}
+
+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;
+}
+
+#if PY_MAJOR_VERSION < 3
+static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
+  #if PY_VERSION_HEX >= 0x02060000
+  if (Py_TYPE(obj)->tp_flags & Py_TPFLAGS_HAVE_NEWBUFFER)
+      return PyObject_GetBuffer(obj, view, flags);
+  #endif
+  if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pf_5numpy_7ndarray___getbuffer__(obj, view, flags);
+  else {
+  PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
+  return -1;
+    }
+}
+
+static void __Pyx_ReleaseBuffer(Py_buffer *view) {
+  PyObject* obj = view->obj;
+  if (obj) {
+if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pf_5numpy_7ndarray___releasebuffer__(obj, view);
+    Py_DECREF(obj);
+    view->obj = NULL;
+  }
+}
+
+#endif
+
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list) {
+    PyObject *__import__ = 0;
+    PyObject *empty_list = 0;
+    PyObject *module = 0;
+    PyObject *global_dict = 0;
+    PyObject *empty_dict = 0;
+    PyObject *list;
+    __import__ = __Pyx_GetAttrString(__pyx_b, "__import__");
+    if (!__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;
+    module = PyObject_CallFunctionObjArgs(__import__,
+        name, global_dict, empty_dict, list, NULL);
+bad:
+    Py_XDECREF(empty_list);
+    Py_XDECREF(__import__);
+    Py_XDECREF(empty_dict);
+    return module;
+}
+
+static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name) {
+    PyObject *result;
+    result = PyObject_GetAttr(dict, name);
+    if (!result)
+        PyErr_SetObject(PyExc_NameError, name);
+    return result;
+}
+
+static PyObject *__Pyx_CreateClass(
+    PyObject *bases, PyObject *dict, PyObject *name, const char *modname)
+{
+    PyObject *py_modname;
+    PyObject *result = 0;
+
+    #if PY_MAJOR_VERSION < 3
+    py_modname = PyString_FromString(modname);
+    #else
+    py_modname = PyUnicode_FromString(modname);
+    #endif
+    if (!py_modname)
+        goto bad;
+    if (PyDict_SetItemString(dict, "__module__", py_modname) < 0)
+        goto bad;
+    #if PY_MAJOR_VERSION < 3
+    result = PyClass_New(bases, dict, name);
+    #else
+    result = PyObject_CallFunctionObjArgs((PyObject *)&PyType_Type, name, bases, dict, NULL);
+    #endif
+bad:
+    Py_XDECREF(py_modname);
+    return result;
+}
+
+#if PY_MAJOR_VERSION < 3
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb) {
+    Py_XINCREF(type);
+    Py_XINCREF(value);
+    Py_XINCREF(tb);
+    
+    if (tb == Py_None) {
+        Py_DECREF(tb);
+        tb = 0;
+    }
+    else if (tb != NULL && !PyTraceBack_Check(tb)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: arg 3 must be a traceback or None");
+        goto raise_error;
+    }
+    
+    if (value == NULL) {
+        value = Py_None;
+        Py_INCREF(value);
+    }
+    #if PY_VERSION_HEX < 0x02050000
+    if (!PyClass_Check(type))
+    #else
+    if (!PyType_Check(type))
+    #endif
+    {
+        
+        if (value != Py_None) {
+            PyErr_SetString(PyExc_TypeError,
+                "instance exception may not have a separate value");
+            goto raise_error;
+        }
+        
+        Py_DECREF(value);
+        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 
+
+static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb) {
+    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)) {
+        PyErr_SetString(PyExc_TypeError,
+            "raise: exception class must be a subclass of BaseException");
+        goto bad;
+    }
+
+    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:
+    return;
+}
+#endif
+
+static CYTHON_INLINE PyObject *__Pyx_PyInt_to_py_npy_intp(npy_intp val) {
+    const npy_intp neg_one = (npy_intp)-1, const_zero = 0;
+    const int is_unsigned = neg_one > const_zero;
+    if (sizeof(npy_intp) <  sizeof(long)) {
+        return PyInt_FromLong((long)val);
+    } else if (sizeof(npy_intp) == sizeof(long)) {
+        if (is_unsigned)
+            return PyLong_FromUnsignedLong((unsigned long)val);
+        else
+            return PyInt_FromLong((long)val);
+    } else { 
+        if (is_unsigned)
+            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)val);
+        else
+            return PyLong_FromLongLong((PY_LONG_LONG)val);
+    }
+}
+
+#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;
+    }
+
+#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;
+    }
+
+#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 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 PyLong_AsUnsignedLong(x);
+        } else {
+            return 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 PyLong_AsUnsignedLongLong(x);
+        } else {
+            return 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 PyLong_AsUnsignedLong(x);
+        } else {
+            return 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 PyLong_AsUnsignedLongLong(x);
+        } else {
+            return 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 PyLong_AsUnsignedLong(x);
+        } else {
+            return 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 PyLong_AsUnsignedLongLong(x);
+        } else {
+            return 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) {
+    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_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 < 0x03010000
+    cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
+#else
+    cobj = PyCapsule_New(tmp.p, sig, 0);
+#endif
+    if (!cobj)
+        goto bad;
+    if (PyDict_SetItemString(d, name, cobj) < 0)
+        goto bad;
+    Py_DECREF(cobj);
+    Py_DECREF(d);
+    return 0;
+bad:
+    Py_XDECREF(cobj);
+    Py_XDECREF(d);
+    return -1;
+}
+
+#ifndef __PYX_HAVE_RT_ImportType
+#define __PYX_HAVE_RT_ImportType
+static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
+    long 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;
+    #if PY_MAJOR_VERSION < 3
+    py_name = PyString_FromString(class_name);
+    #else
+    py_name = PyUnicode_FromString(class_name);
+    #endif
+    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 && ((PyTypeObject *)result)->tp_basicsize > size) {
+        PyOS_snprintf(warning, sizeof(warning), 
+            "%s.%s size changed, may indicate binary incompatibility",
+            module_name, class_name);
+        PyErr_WarnEx(NULL, warning, 0);
+    }
+    else if (((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 0;
+}
+#endif
+
+#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;
+
+    #if PY_MAJOR_VERSION < 3
+    py_name = PyString_FromString(name);
+    #else
+    py_name = PyUnicode_FromString(name);
+    #endif
+    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
+
+#include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+
+static void __Pyx_AddTraceback(const char *funcname) {
+    PyObject *py_srcfile = 0;
+    PyObject *py_funcname = 0;
+    PyObject *py_globals = 0;
+    PyCodeObject *py_code = 0;
+    PyFrameObject *py_frame = 0;
+
+    #if PY_MAJOR_VERSION < 3
+    py_srcfile = PyString_FromString(__pyx_filename);
+    #else
+    py_srcfile = PyUnicode_FromString(__pyx_filename);
+    #endif
+    if (!py_srcfile) goto bad;
+    if (__pyx_clineno) {
+        #if PY_MAJOR_VERSION < 3
+        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
+        #else
+        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
+        #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_globals = PyModule_GetDict(__pyx_m);
+    if (!py_globals) goto bad;
+    py_code = PyCode_New(
+        0,            
+        #if PY_MAJOR_VERSION >= 3
+        0,            
+        #endif
+        0,            
+        0,            
+        0,            
+        __pyx_empty_bytes, 
+        __pyx_empty_tuple,  
+        __pyx_empty_tuple,  
+        __pyx_empty_tuple,  
+        __pyx_empty_tuple,  
+        __pyx_empty_tuple,  
+        py_srcfile,   
+        py_funcname,  
+        __pyx_lineno,   
+        __pyx_empty_bytes  
+    );
+    if (!py_code) goto bad;
+    py_frame = PyFrame_New(
+        PyThreadState_GET(), 
+        py_code,             
+        py_globals,          
+        0                    
+    );
+    if (!py_frame) goto bad;
+    py_frame->f_lineno = __pyx_lineno;
+    PyTraceBack_Here(py_frame);
+bad:
+    Py_XDECREF(py_srcfile);
+    Py_XDECREF(py_funcname);
+    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  
+        if (t->is_unicode | t->is_str) {
+            if (t->intern) {
+                *t->p = PyUnicode_InternFromString(t->s);
+            } else if (t->encoding) {
+                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
+            } else {
+                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
+            }
+        } else {
+            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
+        }
+        #endif
+        if (!*t->p)
+            return -1;
+        ++t;
+    }
+    return 0;
+}
+
+
+
+static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
+   if (x == Py_True) return 1;
+   else if ((x == Py_False) | (x == Py_None)) return 0;
+   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 



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