[Scipy-svn] r6656 - trunk/scipy/interpolate

scipy-svn@scip... scipy-svn@scip...
Tue Aug 31 16:58:25 CDT 2010


Author: ptvirtan
Date: 2010-08-31 16:58:25 -0500 (Tue, 31 Aug 2010)
New Revision: 6656

Added:
   trunk/scipy/interpolate/interpnd.c
Log:
GEN: interpolate: regenerate interpnd.c

Added: trunk/scipy/interpolate/interpnd.c
===================================================================
--- trunk/scipy/interpolate/interpnd.c	                        (rev 0)
+++ trunk/scipy/interpolate/interpnd.c	2010-08-31 21:58:25 UTC (rev 6656)
@@ -0,0 +1,9652 @@
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+typedef npy_float32 __pyx_t_5numpy_float32_t;
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+typedef npy_float64 __pyx_t_5numpy_float64_t;
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+typedef npy_long __pyx_t_5numpy_int_t;
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+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_double __pyx_t_5numpy_double_t;
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+typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
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+    typedef ::std::complex< double > __pyx_t_double_complex;
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+typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
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+typedef npy_cdouble __pyx_t_5numpy_complex_t;
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+
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+typedef struct {
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+  int *neighbors;
+  double *equations;
+  double *transform;
+  int *vertex_to_simplex;
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+  double paraboloid_shift;
+  double *max_bound;
+  double *min_bound;
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+    else {
+        r = __Pyx_GetItemInt_Generic(o, fits_long ? PyInt_FromLong(i) : PyLong_FromLongLong(i));
+    }
+    return r;
+}
+
+static double __Pyx__PyObject_AsDouble(PyObject* obj); 
+
+#define __Pyx_PyObject_AsDouble(obj) \
+    ((likely(PyFloat_CheckExact(obj))) ? \
+     PyFloat_AS_DOUBLE(obj) : __Pyx__PyObject_AsDouble(obj))
+
+
+struct __Pyx_StructField_;
+
+typedef struct {
+  const char* name; 
+  struct __Pyx_StructField_* fields;
+  size_t size;     
+  char typegroup; 
+} __Pyx_TypeInfo;
+
+typedef struct __Pyx_StructField_ {
+  __Pyx_TypeInfo* type;
+  const char* name;
+  size_t offset;
+} __Pyx_StructField;
+
+typedef struct {
+  __Pyx_StructField* field;
+  size_t parent_offset;
+} __Pyx_BufFmt_StackElem;
+
+
+static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
+static int __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
+
+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type); 
+
+static void __Pyx_RaiseBufferFallbackError(void); 
+#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
+
+static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb); 
+static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb); 
+#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)
+
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
+
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(void);
+
+static PyObject *__Pyx_UnpackItem(PyObject *, Py_ssize_t index); 
+static int __Pyx_EndUnpack(PyObject *); 
+
+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 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_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
+#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);
+
+#ifndef __PYX_FORCE_INIT_THREADS
+  #if PY_VERSION_HEX < 0x02040200
+    #define __PYX_FORCE_INIT_THREADS 1
+  #else
+    #define __PYX_FORCE_INIT_THREADS 0
+  #endif
+#endif
+
+static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject*);
+
+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 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 PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, long size, int strict);  
+
+static PyObject *__Pyx_ImportModule(const char *name); 
+
+static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig); 
+
+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 int __pyx_f_8interpnd__estimate_gradients_2d_global(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, double *, int, double, double *); 
+static double __pyx_f_8interpnd__clough_tocher_2d_single_double(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, int, double *, double *, double *); 
+static __pyx_t_double_complex __pyx_f_8interpnd__clough_tocher_2d_single_complex(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *, int, double *, __pyx_t_double_complex *, __pyx_t_double_complex *); 
+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' };
+static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), 'R' };
+static __Pyx_StructField __Pyx_StructFields_nn___pyx_t_5numpy_complex_t[] = {
+  {&__Pyx_TypeInfo_double, "real", offsetof(__pyx_t_5numpy_complex_t, real)},
+  {&__Pyx_TypeInfo_double, "imag", offsetof(__pyx_t_5numpy_complex_t, imag)},
+  {NULL, NULL, 0}
+};
+static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_complex_t = { "numpy.complex_t", __Pyx_StructFields_nn___pyx_t_5numpy_complex_t, sizeof(__pyx_t_5numpy_complex_t), 'C' };
+#define __Pyx_MODULE_NAME "interpnd"
+int __pyx_module_is_main_interpnd = 0;
+
+
+static PyObject *__pyx_builtin_object;
+static PyObject *__pyx_builtin_Warning;
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_map;
+static PyObject *__pyx_builtin_xrange;
+static PyObject *__pyx_builtin_enumerate;
+static PyObject *__pyx_builtin_range;
+static PyObject *__pyx_builtin_RuntimeError;
+static char __pyx_k_2[] = "_ndim_coords_from_arrays";
+static char __pyx_k_3[] = "different number of values and points";
+static char __pyx_k_4[] = "invalid shape for input data points";
+static char __pyx_k_5[] = "input data must be at least 2-D";
+static char __pyx_k_6[] = "this mode of interpolation available only for %-D data";
+static char __pyx_k_7[] = "number of dimensions in xi does not match x";
+static char __pyx_k_8[] = "coordinate arrays do not have the same shape";
+static char __pyx_k_11[] = "'y' has a wrong number of items";
+static char __pyx_k_12[] = "estimate_gradients_2d_global";
+static char __pyx_k_13[] = "Gradient estimation did not converge, the results may be inaccurate";
+static char __pyx_k_14[] = "GradientEstimationWarning";
+static char __pyx_k_17[] = "ndarray is not C contiguous";
+static char __pyx_k_18[] = "ndarray is not Fortran contiguous";
+static char __pyx_k_19[] = "Non-native byte order not supported";
+static char __pyx_k_20[] = "unknown dtype code in numpy.pxd (%d)";
+static char __pyx_k_21[] = "Format string allocated too short, see comment in numpy.pxd";
+static char __pyx_k_22[] = "Format string allocated too short.";
+static char __pyx_k_23[] = "\nSimple N-D interpolation\n\n.. versionadded:: 0.9\n\n";
+static char __pyx_k_24[] = "scipy.spatial.qhull";
+static char __pyx_k_25[] = "*";
+static char __pyx_k_26[] = "\n    Common routines for interpolators.\n\n    .. versionadded:: 0.9\n\n    ";
+static char __pyx_k_27[] = "\n    LinearNDInterpolator(points, values)\n\n    Piecewise linear interpolant in N dimensions. \n\n    .. versionadded:: 0.9\n\n    Parameters\n    ----------\n    points : ndarray of floats, shape (npoints, ndims)\n        Data point coordinates.\n    values : ndarray of float or complex, shape (npoints, ...)\n        Data values.\n    fill_value : float, optional\n        Value used to fill in for requested points outside of the\n        convex hull of the input points.  If not provided, then\n        the default is ``nan``.\n\n    Notes\n    -----\n    The interpolant is constructed by triangulating the input data\n    with Qhull [Qhull]_, and on each triangle performing linear\n    barycentric interpolation.\n\n    References\n    ----------\n    .. [Qhull] http://www.qhull.org/\n\n    ";
+static char __pyx_k_28[] = "LinearNDInterpolator";
+static char __pyx_k_29[] = "\n    CloughTocher2DInterpolator(points, values, tol=1e-6)\n\n    Piecewise cubic, C1 smooth, curvature-minimizing interpolant in 2D. \n\n    .. versionadded:: 0.9\n\n    Parameters\n    ----------\n    points : ndarray of floats, shape (npoints, ndims)\n        Data point coordinates.\n    values : ndarray of float or complex, shape (npoints, ...)\n        Data values.\n    fill_value : float, optional\n        Value used to fill in for requested points outside of the\n        convex hull of the input points.  If not provided, then\n        the default is ``nan``.\n    tol : float, optional\n        Absolute/relative tolerance for gradient estimation.\n    maxiter : int, optional\n        Maximum number of iterations in gradient estimation.\n\n    Notes\n    -----\n    The interpolant is constructed by triangulating the input data\n    with Qhull [Qhull]_, and constructing a piecewise cubic\n    interpolating Bezier polynomial on each triangle, using a\n    Clough-Tocher scheme [CT]_.  The interpolant is guaranteed to be\n    continuously differentiable.\n\n    The gradients of the interpolant are chosen so that the curvature\n    of the interpolating surface is approximatively minimized. The\n    gradients necessary for this are estimated using the global\n    algorithm described in [Nielson83,Renka84]_.\n\n    References\n    ----------\n\n    .. [Qhull] http://www.qhull.org/\n\n    .. [CT] See, for example,\n       P. Alfeld,\n       ''A trivariate Clough-Tocher scheme for tetrahedral data''.\n       Computer Aided Geometric Design, 1, 169 (1984);\n       G. Farin,\n       ''Triangular Bernstein-Bezier patches''.\n       Computer Aided Geometric Design, 3, 83 (1986).\n\n    .. [Nielson83] G. Nielson,\n       ''A method for interpolating scattered data based upon a minimum norm\n       network''.\n       Math. Comp., 40, 253 (1983).\n\n    .. [Renka84] R. J. Renka and A. K. Cline.\n       ''A Triangle-based C1 interpolation method.'',\n       Rocky Mountain J. Math., 14, 223 (1984).\n\n    ";
+static char __pyx_k_30[] = "CloughTocher2DInterpolator";
+static char __pyx_k_31[] = "NDInterpolatorBase.__init__ (line 60)";
+static char __pyx_k_32[] = "NDInterpolatorBase._check_init_shape (line 93)";
+static char __pyx_k_33[] = "NDInterpolatorBase.__call__ (line 114)";
+static char __pyx_k_34[] = "_ndim_coords_from_arrays (line 139)";
+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__T[] = "T";
+static char __pyx_k__b[] = "b";
+static char __pyx_k__d[] = "d";
+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__q[] = "q";
+static char __pyx_k__y[] = "y";
+static char __pyx_k__Zd[] = "Zd";
+static char __pyx_k__Zf[] = "Zf";
+static char __pyx_k__Zg[] = "Zg";
+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__map[] = "map";
+static char __pyx_k__nan[] = "nan";
+static char __pyx_k__obj[] = "obj";
+static char __pyx_k__tol[] = "tol";
+static char __pyx_k__tri[] = "tri";
+static char __pyx_k__base[] = "base";
+static char __pyx_k__data[] = "data";
+static char __pyx_k__edge[] = "edge";
+static char __pyx_k__grad[] = "grad";
+static char __pyx_k__imag[] = "imag";
+static char __pyx_k__ndim[] = "ndim";
+static char __pyx_k__prod[] = "prod";
+static char __pyx_k__real[] = "real";
+static char __pyx_k__self[] = "self";
+static char __pyx_k__warn[] = "warn";
+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__qhull[] = "qhull";
+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__object[] = "object";
+static char __pyx_k__points[] = "points";
+static char __pyx_k__values[] = "values";
+static char __pyx_k__vertex[] = "vertex";
+static char __pyx_k__xrange[] = "xrange";
+static char __pyx_k__Warning[] = "Warning";
+static char __pyx_k__complex[] = "complex";
+static char __pyx_k__maxiter[] = "maxiter";
+static char __pyx_k__npoints[] = "npoints";
+static char __pyx_k__reshape[] = "reshape";
+static char __pyx_k__strides[] = "strides";
+static char __pyx_k__vertex2[] = "vertex2";
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+  double __pyx_v_c0300;
+  double __pyx_v_c0030;
+  double __pyx_v_c0003;
+  double __pyx_v_c2100;
+  double __pyx_v_c2010;
+  double __pyx_v_c2001;
+  double __pyx_v_c0210;
+  double __pyx_v_c0201;
+  double __pyx_v_c0021;
+  double __pyx_v_c1200;
+  double __pyx_v_c1020;
+  double __pyx_v_c1002;
+  double __pyx_v_c0120;
+  double __pyx_v_c0102;
+  double __pyx_v_c0012;
+  double __pyx_v_c1101;
+  double __pyx_v_c1011;
+  double __pyx_v_c0111;
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+  double __pyx_v_f3;
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+  double __pyx_v_df13;
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+  double __pyx_v_df23;
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+  double __pyx_v_df32;
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+  
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+  
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+
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+  
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+
+  
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+
+  
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+
+  
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+  
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+
+  
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+  
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+  
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+
+    
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+
+    
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+      
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+        
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+        
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+        
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+
+        
+        case 2:
+
+        
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+
+      
+      goto __pyx_L3_continue;
+      goto __pyx_L5;
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+
+    
+    (__pyx_v_y[0]) = ((((__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 0)])))]) + (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 1)])))])) + (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 2)])))])) / 3);
+
+    
+    (__pyx_v_y[1]) = ((((__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 0)])))]) + (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 1)])))])) + (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 2)])))])) / 3);
+
+    
+    __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(2, (__pyx_v_d->transform + ((__pyx_v_isimplex * 2) * 3)), __pyx_v_y, __pyx_v_c);
+
+    
+    switch (__pyx_v_k) {
+      case 0:
+
+      
+      __pyx_v_g1 = ((((2 * (__pyx_v_c[2])) + (__pyx_v_c[1])) - 1) / ((2 - (3 * (__pyx_v_c[2]))) - (3 * (__pyx_v_c[1]))));
+      break;
+
+      
+      case 1:
+
+      
+      __pyx_v_g2 = ((((2 * (__pyx_v_c[0])) + (__pyx_v_c[2])) - 1) / ((2 - (3 * (__pyx_v_c[0]))) - (3 * (__pyx_v_c[2]))));
+      break;
+
+      
+      case 2:
+
+      
+      __pyx_v_g3 = ((((2 * (__pyx_v_c[1])) + (__pyx_v_c[0])) - 1) / ((2 - (3 * (__pyx_v_c[1]))) - (3 * (__pyx_v_c[0]))));
+      break;
+    }
+    __pyx_L3_continue:;
+  }
+
+  
+  __pyx_v_c0111 = (((__pyx_v_g1 * ((((-__pyx_v_c0300) + (3 * __pyx_v_c0210)) - (3 * __pyx_v_c0120)) + __pyx_v_c0030)) + (((((-__pyx_v_c0300) + (2 * __pyx_v_c0210)) - __pyx_v_c0120) + __pyx_v_c0021) + __pyx_v_c0201)) / 2);
+
+  
+  __pyx_v_c1011 = (((__pyx_v_g2 * ((((-__pyx_v_c0030) + (3 * __pyx_v_c1020)) - (3 * __pyx_v_c2010)) + __pyx_v_c3000)) + (((((-__pyx_v_c0030) + (2 * __pyx_v_c1020)) - __pyx_v_c2010) + __pyx_v_c2001) + __pyx_v_c0021)) / 2);
+
+  
+  __pyx_v_c1101 = (((__pyx_v_g3 * ((((-__pyx_v_c3000) + (3 * __pyx_v_c2100)) - (3 * __pyx_v_c1200)) + __pyx_v_c0300)) + (((((-__pyx_v_c3000) + (2 * __pyx_v_c2100)) - __pyx_v_c1200) + __pyx_v_c2001) + __pyx_v_c0201)) / 2);
+
+  
+  __pyx_v_c1002 = (((__pyx_v_c1101 + __pyx_v_c1011) + __pyx_v_c2001) / 3);
+
+  
+  __pyx_v_c0102 = (((__pyx_v_c1101 + __pyx_v_c0111) + __pyx_v_c0201) / 3);
+
+  
+  __pyx_v_c0012 = (((__pyx_v_c1011 + __pyx_v_c0111) + __pyx_v_c0021) / 3);
+
+  
+  __pyx_v_c0003 = (((__pyx_v_c1002 + __pyx_v_c0102) + __pyx_v_c0012) / 3);
+
+  
+  __pyx_v_minval = (__pyx_v_b[0]);
+
+  
+  for (__pyx_t_1 = 0; __pyx_t_1 < 3; __pyx_t_1+=1) {
+    __pyx_v_k = __pyx_t_1;
+
+    
+    __pyx_t_2 = ((__pyx_v_b[__pyx_v_k]) < __pyx_v_minval);
+    if (__pyx_t_2) {
+
+      
+      __pyx_v_minval = (__pyx_v_b[__pyx_v_k]);
+      goto __pyx_L8;
+    }
+    __pyx_L8:;
+  }
+
+  
+  __pyx_v_b1 = ((__pyx_v_b[0]) - __pyx_v_minval);
+
+  
+  __pyx_v_b2 = ((__pyx_v_b[1]) - __pyx_v_minval);
+
+  
+  __pyx_v_b3 = ((__pyx_v_b[2]) - __pyx_v_minval);
+
+  
+  __pyx_v_b4 = (3 * __pyx_v_minval);
+
+  
+  __pyx_v_w = (((((((((((((((((((pow(__pyx_v_b1, 3) * __pyx_v_c3000) + (((3 * pow(__pyx_v_b1, 2)) * __pyx_v_b2) * __pyx_v_c2100)) + (((3 * pow(__pyx_v_b1, 2)) * __pyx_v_b3) * __pyx_v_c2010)) + (((3 * pow(__pyx_v_b1, 2)) * __pyx_v_b4) * __pyx_v_c2001)) + (((3 * __pyx_v_b1) * pow(__pyx_v_b2, 2)) * __pyx_v_c1200)) + ((((6 * __pyx_v_b1) * __pyx_v_b2) * __pyx_v_b4) * __pyx_v_c1101)) + (((3 * __pyx_v_b1) * pow(__pyx_v_b3, 2)) * __pyx_v_c1020)) + ((((6 * __pyx_v_b1) * __pyx_v_b3) * __pyx_v_b4) * __pyx_v_c1011)) + (((3 * __pyx_v_b1) * pow(__pyx_v_b4, 2)) * __pyx_v_c1002)) + (pow(__pyx_v_b2, 3) * __pyx_v_c0300)) + (((3 * pow(__pyx_v_b2, 2)) * __pyx_v_b3) * __pyx_v_c0210)) + (((3 * pow(__pyx_v_b2, 2)) * __pyx_v_b4) * __pyx_v_c0201)) + (((3 * __pyx_v_b2) * pow(__pyx_v_b3, 2)) * __pyx_v_c0120)) + ((((6 * __pyx_v_b2) * __pyx_v_b3) * __pyx_v_b4) * __pyx_v_c0111)) + (((3 * __pyx_v_b2) * pow(__pyx_v_b4, 2)) * __pyx_v_c0102)) + (pow(__pyx_v_b3, 3) * __pyx_v_c0030)) + (((3 * pow(__pyx_v_b3, 2)) * __pyx_v_b4) * __pyx_v_c0021)) + (((3 * __pyx_v_b3) * pow(__pyx_v_b4, 2)) * __pyx_v_c0012)) + (pow(__pyx_v_b4, 3) * __pyx_v_c0003));
+
+  
+  __pyx_r = __pyx_v_w;
+  goto __pyx_L0;
+
+  __pyx_r = 0;
+  __pyx_L0:;
+  return __pyx_r;
+}
+
+
+
+static  __pyx_t_double_complex __pyx_f_8interpnd__clough_tocher_2d_single_complex(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, int __pyx_v_isimplex, double *__pyx_v_b, __pyx_t_double_complex *__pyx_v_f, __pyx_t_double_complex *__pyx_v_df) {
+  __pyx_t_double_complex __pyx_v_c3000;
+  __pyx_t_double_complex __pyx_v_c0300;
+  __pyx_t_double_complex __pyx_v_c0030;
+  __pyx_t_double_complex __pyx_v_c0003;
+  __pyx_t_double_complex __pyx_v_c2100;
+  __pyx_t_double_complex __pyx_v_c2010;
+  __pyx_t_double_complex __pyx_v_c2001;
+  __pyx_t_double_complex __pyx_v_c0210;
+  __pyx_t_double_complex __pyx_v_c0201;
+  __pyx_t_double_complex __pyx_v_c0021;
+  __pyx_t_double_complex __pyx_v_c1200;
+  __pyx_t_double_complex __pyx_v_c1020;
+  __pyx_t_double_complex __pyx_v_c1002;
+  __pyx_t_double_complex __pyx_v_c0120;
+  __pyx_t_double_complex __pyx_v_c0102;
+  __pyx_t_double_complex __pyx_v_c0012;
+  __pyx_t_double_complex __pyx_v_c1101;
+  __pyx_t_double_complex __pyx_v_c1011;
+  __pyx_t_double_complex __pyx_v_c0111;
+  __pyx_t_double_complex __pyx_v_f1;
+  __pyx_t_double_complex __pyx_v_f2;
+  __pyx_t_double_complex __pyx_v_f3;
+  __pyx_t_double_complex __pyx_v_df12;
+  __pyx_t_double_complex __pyx_v_df13;
+  __pyx_t_double_complex __pyx_v_df21;
+  __pyx_t_double_complex __pyx_v_df23;
+  __pyx_t_double_complex __pyx_v_df31;
+  __pyx_t_double_complex __pyx_v_df32;
+  double __pyx_v_g1;
+  double __pyx_v_g2;
+  double __pyx_v_g3;
+  double __pyx_v_e12x;
+  double __pyx_v_e12y;
+  double __pyx_v_e23x;
+  double __pyx_v_e23y;
+  double __pyx_v_e31x;
+  double __pyx_v_e31y;
+  double __pyx_v_e14x;
+  double __pyx_v_e14y;
+  double __pyx_v_e24x;
+  double __pyx_v_e24y;
+  double __pyx_v_e34x;
+  double __pyx_v_e34y;
+  __pyx_t_double_complex __pyx_v_w;
+  double __pyx_v_minval;
+  double __pyx_v_b1;
+  double __pyx_v_b2;
+  double __pyx_v_b3;
+  double __pyx_v_b4;
+  int __pyx_v_k;
+  int __pyx_v_itri;
+  double __pyx_v_c[3];
+  double __pyx_v_y[2];
+  __pyx_t_double_complex __pyx_r;
+  int __pyx_t_1;
+  int __pyx_t_2;
+
+  
+  __pyx_v_e12x = ((__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 1)])))]) - (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 0)])))]));
+
+  
+  __pyx_v_e12y = ((__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 1)])))]) - (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 0)])))]));
+
+  
+  __pyx_v_e23x = ((__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 2)])))]) - (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 1)])))]));
+
+  
+  __pyx_v_e23y = ((__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 2)])))]) - (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 1)])))]));
+
+  
+  __pyx_v_e31x = ((__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 0)])))]) - (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 2)])))]));
+
+  
+  __pyx_v_e31y = ((__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 0)])))]) - (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_isimplex) + 2)])))]));
+
+  
+  __pyx_v_e14x = ((__pyx_v_e12x - __pyx_v_e31x) / 3);
+
+  
+  __pyx_v_e14y = ((__pyx_v_e12y - __pyx_v_e31y) / 3);
+
+  
+  __pyx_v_e24x = (((-__pyx_v_e12x) + __pyx_v_e23x) / 3);
+
+  
+  __pyx_v_e24y = (((-__pyx_v_e12y) + __pyx_v_e23y) / 3);
+
+  
+  __pyx_v_e34x = ((__pyx_v_e31x - __pyx_v_e23x) / 3);
+
+  
+  __pyx_v_e34y = ((__pyx_v_e31y - __pyx_v_e23y) / 3);
+
+  
+  __pyx_v_f1 = (__pyx_v_f[0]);
+
+  
+  __pyx_v_f2 = (__pyx_v_f[1]);
+
+  
+  __pyx_v_f3 = (__pyx_v_f[2]);
+
+  
+  __pyx_v_df12 = __Pyx_c_sum(__Pyx_c_prod((__pyx_v_df[0]), __pyx_t_double_complex_from_parts(__pyx_v_e12x, 0)), __Pyx_c_prod((__pyx_v_df[1]), __pyx_t_double_complex_from_parts(__pyx_v_e12y, 0)));
+
+  
+  __pyx_v_df21 = __Pyx_c_neg(__Pyx_c_sum(__Pyx_c_prod((__pyx_v_df[2]), __pyx_t_double_complex_from_parts(__pyx_v_e12x, 0)), __Pyx_c_prod((__pyx_v_df[3]), __pyx_t_double_complex_from_parts(__pyx_v_e12y, 0))));
+
+  
+  __pyx_v_df23 = __Pyx_c_sum(__Pyx_c_prod((__pyx_v_df[2]), __pyx_t_double_complex_from_parts(__pyx_v_e23x, 0)), __Pyx_c_prod((__pyx_v_df[3]), __pyx_t_double_complex_from_parts(__pyx_v_e23y, 0)));
+
+  
+  __pyx_v_df32 = __Pyx_c_neg(__Pyx_c_sum(__Pyx_c_prod((__pyx_v_df[4]), __pyx_t_double_complex_from_parts(__pyx_v_e23x, 0)), __Pyx_c_prod((__pyx_v_df[5]), __pyx_t_double_complex_from_parts(__pyx_v_e23y, 0))));
+
+  
+  __pyx_v_df31 = __Pyx_c_sum(__Pyx_c_prod((__pyx_v_df[4]), __pyx_t_double_complex_from_parts(__pyx_v_e31x, 0)), __Pyx_c_prod((__pyx_v_df[5]), __pyx_t_double_complex_from_parts(__pyx_v_e31y, 0)));
+
+  
+  __pyx_v_df13 = __Pyx_c_neg(__Pyx_c_sum(__Pyx_c_prod((__pyx_v_df[0]), __pyx_t_double_complex_from_parts(__pyx_v_e31x, 0)), __Pyx_c_prod((__pyx_v_df[1]), __pyx_t_double_complex_from_parts(__pyx_v_e31y, 0))));
+
+  
+  __pyx_v_c3000 = __pyx_v_f1;
+
+  
+  __pyx_v_c2100 = __Pyx_c_quot(__Pyx_c_sum(__pyx_v_df12, __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c3000)), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c2010 = __Pyx_c_quot(__Pyx_c_sum(__pyx_v_df13, __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c3000)), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c0300 = __pyx_v_f2;
+
+  
+  __pyx_v_c1200 = __Pyx_c_quot(__Pyx_c_sum(__pyx_v_df21, __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c0300)), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c0210 = __Pyx_c_quot(__Pyx_c_sum(__pyx_v_df23, __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c0300)), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c0030 = __pyx_v_f3;
+
+  
+  __pyx_v_c1020 = __Pyx_c_quot(__Pyx_c_sum(__pyx_v_df31, __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c0030)), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c0120 = __Pyx_c_quot(__Pyx_c_sum(__pyx_v_df32, __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c0030)), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c2001 = __Pyx_c_quot(__Pyx_c_sum(__Pyx_c_sum(__pyx_v_c2100, __pyx_v_c2010), __pyx_v_c3000), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c0201 = __Pyx_c_quot(__Pyx_c_sum(__Pyx_c_sum(__pyx_v_c1200, __pyx_v_c0300), __pyx_v_c0210), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  __pyx_v_c0021 = __Pyx_c_quot(__Pyx_c_sum(__Pyx_c_sum(__pyx_v_c1020, __pyx_v_c0120), __pyx_v_c0030), __pyx_t_double_complex_from_parts(3, 0));
+
+  
+  for (__pyx_t_1 = 0; __pyx_t_1 < 3; __pyx_t_1+=1) {
+    __pyx_v_k = __pyx_t_1;
+
+    
+    __pyx_v_itri = (__pyx_v_d->neighbors[((3 * __pyx_v_isimplex) + __pyx_v_k)]);
+
+    
+    __pyx_t_2 = (__pyx_v_itri == -1);
+    if (__pyx_t_2) {
+
+      
+      switch (__pyx_v_k) {
+        case 0:
+
+        
+        __pyx_v_g1 = ((-2.0) / 3);
+        break;
+
+        
+        case 1:
+
+        
+        __pyx_v_g2 = ((-2.0) / 3);
+        break;
+
+        
+        case 2:
+
+        
+        __pyx_v_g3 = ((-2.0) / 3);
+        break;
+      }
+
+      
+      goto __pyx_L3_continue;
+      goto __pyx_L5;
+    }
+    __pyx_L5:;
+
+    
+    (__pyx_v_y[0]) = ((((__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 0)])))]) + (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 1)])))])) + (__pyx_v_d->points[(0 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 2)])))])) / 3);
+
+    
+    (__pyx_v_y[1]) = ((((__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 0)])))]) + (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 1)])))])) + (__pyx_v_d->points[(1 + (2 * (__pyx_v_d->vertices[((3 * __pyx_v_itri) + 2)])))])) / 3);
+
+    
+    __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(2, (__pyx_v_d->transform + ((__pyx_v_isimplex * 2) * 3)), __pyx_v_y, __pyx_v_c);
+
+    
+    switch (__pyx_v_k) {
+      case 0:
+
+      
+      __pyx_v_g1 = ((((2 * (__pyx_v_c[2])) + (__pyx_v_c[1])) - 1) / ((2 - (3 * (__pyx_v_c[2]))) - (3 * (__pyx_v_c[1]))));
+      break;
+
+      
+      case 1:
+
+      
+      __pyx_v_g2 = ((((2 * (__pyx_v_c[0])) + (__pyx_v_c[2])) - 1) / ((2 - (3 * (__pyx_v_c[0]))) - (3 * (__pyx_v_c[2]))));
+      break;
+
+      
+      case 2:
+
+      
+      __pyx_v_g3 = ((((2 * (__pyx_v_c[1])) + (__pyx_v_c[0])) - 1) / ((2 - (3 * (__pyx_v_c[1]))) - (3 * (__pyx_v_c[0]))));
+      break;
+    }
+    __pyx_L3_continue:;
+  }
+
+  
+  __pyx_v_c0111 = __Pyx_c_quot(__Pyx_c_sum(__Pyx_c_prod(__pyx_t_double_complex_from_parts(__pyx_v_g1, 0), __Pyx_c_sum(__Pyx_c_diff(__Pyx_c_sum(__Pyx_c_neg(__pyx_v_c0300), __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c0210)), __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c0120)), __pyx_v_c0030)), __Pyx_c_sum(__Pyx_c_sum(__Pyx_c_diff(__Pyx_c_sum(__Pyx_c_neg(__pyx_v_c0300), __Pyx_c_prod(__pyx_t_double_complex_from_parts(2, 0), __pyx_v_c0210)), __pyx_v_c0120), __pyx_v_c0021), __pyx_v_c0201)), __pyx_t_double_complex_from_parts(2, 0));
+
+  
+  __pyx_v_c1011 = __Pyx_c_quot(__Pyx_c_sum(__Pyx_c_prod(__pyx_t_double_complex_from_parts(__pyx_v_g2, 0), __Pyx_c_sum(__Pyx_c_diff(__Pyx_c_sum(__Pyx_c_neg(__pyx_v_c0030), __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c1020)), __Pyx_c_prod(__pyx_t_double_complex_from_parts(3, 0), __pyx_v_c2010)), __pyx_v_c3000)), __Pyx_c_sum(__Pyx_c_sum(__Pyx_c_diff(__Pyx_c_sum(__Pyx_c_neg(__pyx_v_c0030), __Pyx_c_prod(__pyx_t_double_complex_from_parts(2, 0), __pyx_v_c1020)), __pyx_v_c2010), __pyx_v_c2001), __pyx_v_c0021)), __pyx_t_double_complex_from_parts(2, 0));
+
+  
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+  __Pyx_DECREF(((PyObject *)__pyx_t_3)); __pyx_t_3 = 0;
+
+  
+  goto __pyx_L0;
+  __pyx_L1_error:;
+  __Pyx_XDECREF(__pyx_t_1);
+  __Pyx_XDECREF(__pyx_t_2);
+  __Pyx_XDECREF(__pyx_t_3);
+  __Pyx_XDECREF(__pyx_t_4);
+  __Pyx_XDECREF(__pyx_t_5);
+  if (__pyx_m) {
+    __Pyx_AddTraceback("init interpnd");
+    Py_DECREF(__pyx_m); __pyx_m = 0;
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+  return;
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+}
+
+static const char *__pyx_filenames[] = {
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+  "numpy.pxd",
+};
+
+
+
+static void __pyx_init_filenames(void) {
+  __pyx_f = __pyx_filenames;
+}
+
+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)
+{
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+
+    if (num_found < num_min) {
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+    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);
+}
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+static int __Pyx_ParseOptionalKeywords(
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+    PyObject **argnames[],
+    PyObject *kwds2,
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+        } else {
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+            if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key))) {
+            #else
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+            } else {
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+                    if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
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+                    for (name=argnames; name != first_kw_arg; name++) {
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+                        #if PY_MAJOR_VERSION >= 3
+                        if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
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+                        #else
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+                        #endif
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+                        goto invalid_keyword;
+                    }
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+    goto bad;
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+    goto bad;
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+    PyErr_Format(PyExc_TypeError,
+    #if PY_MAJOR_VERSION < 3
+        "%s() got an unexpected keyword argument '%s'",
+        function_name, PyString_AsString(key));
+    #else
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+    #endif
+bad:
+    return -1;
+}
+
+
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+    }
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+        return value;
+    }
+bad:
+    return (double)-1;
+}
+
+static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
+  unsigned int n = 1;
+  return *(unsigned char*)(&n) != 0;
+}
+
+typedef struct {
+  __Pyx_StructField root;
+  __Pyx_BufFmt_StackElem* head;
+  size_t fmt_offset;
+  int new_count, enc_count;
+  int is_complex;
+  char enc_type;
+  char packmode;
+} __Pyx_BufFmt_Context;
+
+static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
+                              __Pyx_BufFmt_StackElem* stack,
+                              __Pyx_TypeInfo* type) {
+  stack[0].field = &ctx->root;
+  stack[0].parent_offset = 0;
+  ctx->root.type = type;
+  ctx->root.name = "buffer dtype";
+  ctx->root.offset = 0;
+  ctx->head = stack;
+  ctx->head->field = &ctx->root;
+  ctx->fmt_offset = 0;
+  ctx->head->parent_offset = 0;
+  ctx->packmode = '@';
+  ctx->new_count = 1;
+  ctx->enc_count = 0;
+  ctx->enc_type = 0;
+  ctx->is_complex = 0;
+  while (type->typegroup == 'S') {
+    ++ctx->head;
+    ctx->head->field = type->fields;
+    ctx->head->parent_offset = 0;
+    type = type->fields->type;
+  }
+}
+
+static int __Pyx_BufFmt_ParseNumber(const char** ts) {
+    int count;
+    const char* t = *ts;
+    if (*t < '0' || *t > '9') {
+      return -1;
+    } else {
+        count = *t++ - '0';
+        while (*t >= '0' && *t < '9') {
+            count *= 10;
+            count += *t++ - '0';
+        }
+    }
+    *ts = t;
+    return count;
+}
+
+static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
+  char msg[] = {ch, 0};
+  PyErr_Format(PyExc_ValueError, "Unexpected format string character: '%s'", msg);
+}
+
+static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
+  switch (ch) {
+    case 'b': return "'char'";
+    case 'B': return "'unsigned char'";
+    case 'h': return "'short'";
+    case 'H': return "'unsigned short'";
+    case 'i': return "'int'";
+    case 'I': return "'unsigned int'";
+    case 'l': return "'long'";
+    case 'L': return "'unsigned long'";
+    case 'q': return "'long long'";
+    case 'Q': return "'unsigned long long'";
+    case 'f': return (is_complex ? "'complex float'" : "'float'");
+    case 'd': return (is_complex ? "'complex double'" : "'double'");
+    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
+    case 'T': return "a struct";
+    case 'O': return "Python object";
+    case 'P': return "a pointer";
+    case 0: return "end";
+    default: return "unparseable format string";
+  }
+}
+
+static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
+  switch (ch) {
+    case '?': case 'c': case 'b': case 'B': return 1;
+    case 'h': case 'H': return 2;
+    case 'i': case 'I': case 'l': case 'L': return 4;
+    case 'q': case 'Q': return 8;
+    case 'f': return (is_complex ? 8 : 4);
+    case 'd': return (is_complex ? 16 : 8);
+    case 'g': {
+      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
+      return 0;
+    }
+    case 'O': case 'P': return sizeof(void*);
+    default:
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }
+}
+
+static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
+  switch (ch) {
+    case 'c': case 'b': case 'B': return 1;
+    case 'h': case 'H': return sizeof(short);
+    case 'i': case 'I': return sizeof(int);
+    case 'l': case 'L': return sizeof(long);
+    #ifdef HAVE_LONG_LONG
+    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
+    #endif
+    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
+    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
+    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
+    case 'O': case 'P': return sizeof(void*);
+    default: {
+      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
+      return 0;
+    }    
+  }
+}
+
+typedef struct { char c; short x; } __Pyx_st_short;
+typedef struct { char c; int x; } __Pyx_st_int;
+typedef struct { char c; long x; } __Pyx_st_long;
+typedef struct { char c; float x; } __Pyx_st_float;
+typedef struct { char c; double x; } __Pyx_st_double;
+typedef struct { char c; long double x; } __Pyx_st_longdouble;
+typedef struct { char c; void *x; } __Pyx_st_void_p;
+#ifdef HAVE_LONG_LONG
+typedef struct { char c; PY_LONG_LONG x; } __Pyx_s_long_long;
+#endif
+
+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;
+    }    
+  }
+}
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+static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
+  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
+    const char* expected;
+    const char* quote;
+    if (ctx->head == NULL) {
+      expected = "end";
+      quote = "";
+    } else {
+      expected = ctx->head->field->type->name;
+      quote = "'";
+    }
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected %s%s%s but got %s",
+                 quote, expected, quote,
+                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
+  } else {
+    __Pyx_StructField* field = ctx->head->field;
+    __Pyx_StructField* parent = (ctx->head - 1)->field;
+    PyErr_Format(PyExc_ValueError,
+                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
+                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
+                 parent->type->name, field->name);
+  }
+}
+
+static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
+  char group;
+  size_t size, offset;
+  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_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 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_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 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
+
+#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);
+    }
+}
+
+static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
+    Py_complex cval;
+    if (PyComplex_CheckExact(o))
+        cval = ((PyComplexObject *)o)->cval;
+    else
+        cval = PyComplex_AsCComplex(o);
+    return __pyx_t_double_complex_from_parts(
+               (double)cval.real,
+               (double)cval.imag);
+}
+
+#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
+
+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;
+    }
+}
+
+#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
+
+#ifndef __PYX_HAVE_RT_ImportFunction
+#define __PYX_HAVE_RT_ImportFunction
+static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
+    PyObject *d = 0;
+    PyObject *cobj = 0;
+    union {
+        void (*fp)(void);
+        void *p;
+    } tmp;
+#if PY_VERSION_HEX < 0x03010000
+    const char *desc, *s1, *s2;
+#endif
+
+    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
+    if (!d)
+        goto bad;
+    cobj = PyDict_GetItemString(d, funcname);
+    if (!cobj) {
+        PyErr_Format(PyExc_ImportError,
+            "%s does not export expected C function %s",
+                PyModule_GetName(module), funcname);
+        goto bad;
+    }
+#if PY_VERSION_HEX < 0x03010000
+    desc = (const char *)PyCObject_GetDesc(cobj);
+    if (!desc)
+        goto bad;
+    s1 = desc; s2 = sig;
+    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
+    if (*s1 != *s2) {
+        PyErr_Format(PyExc_TypeError,
+            "C function %s.%s has wrong signature (expected %s, got %s)",
+             PyModule_GetName(module), funcname, sig, desc);
+        goto bad;
+    }
+    tmp.p = PyCObject_AsVoidPtr(cobj);
+#else
+    if (!PyCapsule_IsValid(cobj, sig)) {
+        PyErr_Format(PyExc_TypeError,
+            "C function %s.%s has wrong signature (expected %s, got %s)",
+             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
+        goto bad;
+    }
+    tmp.p = PyCapsule_GetPointer(cobj, sig);
+#endif
+    *f = tmp.fp;
+    if (!(*f))
+        goto bad;
+    Py_DECREF(d);
+    return 0;
+bad:
+    Py_XDECREF(d);
+    return -1;
+}
+#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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