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  #define __PYX_HAVE__yt__utilities__lib__mesh_samplers
  #define __PYX_HAVE_API__yt__utilities__lib__mesh_samplers
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  #include "stdio.h"
  #include "stdlib.h"
  #include "numpy/arrayobject.h"
  #include "numpy/ufuncobject.h"
  #include "embree2/rtcore.h"
  #include "embree2/rtcore_ray.h"
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  #ifndef CYTHON_UNUSED
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  #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
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      (sizeof(type) == sizeof(Py_ssize_t) &&\
            (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                                 v == (type)PY_SSIZE_T_MAX)))  )
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      #define __Pyx_sst_abs(value) std::abs(value)
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      #define __Pyx_sst_abs(value) labs(value)
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      #define __Pyx_sst_abs(value) llabs(value)
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      #define __Pyx_sst_abs(value) __builtin_llabs(value)
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      #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
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  #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
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      #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
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      #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
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  #define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
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  #define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
  #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
  #define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
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  #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
  #define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
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  #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
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  #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
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  #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
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  static int __Pyx_sys_getdefaultencoding_not_ascii;
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      PyObject* ascii_chars_u = NULL;
      PyObject* ascii_chars_b = NULL;
      const char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
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      } else {
          char ascii_chars[128];
          int c;
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          }
          __Pyx_sys_getdefaultencoding_not_ascii = 1;
          ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
          if (!ascii_chars_u) goto bad;
          ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
          if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
              PyErr_Format(
                  PyExc_ValueError,
                  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                  default_encoding_c);
              goto bad;
          }
          Py_DECREF(ascii_chars_u);
          Py_DECREF(ascii_chars_b);
      }
      Py_DECREF(default_encoding);
      return 0;
  bad:
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      Py_XDECREF(ascii_chars_u);
      Py_XDECREF(ascii_chars_b);
      return -1;
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  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
  #else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
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      char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
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      __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
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  /* Test for GCC > 2.95 */
  #if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
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    #elif defined(_Complex_I)
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      #define CYTHON_CCOMPLEX 0
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    #else
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  #endif
  #if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
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    #define _Complex_I 1.0fj
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    "yt/utilities/lib/mesh_samplers.pyx",
    "__init__.pxd",
    "type.pxd",
    "yt/utilities/lib/element_mappings.pxd",
  };
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725
   * # in Cython to enable them only on the right systems.
   * 
   * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   */
  typedef npy_int8 __pyx_t_5numpy_int8_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
   * 
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t
   */
  typedef npy_int16 __pyx_t_5numpy_int16_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int64      int64_t
   * #ctypedef npy_int96      int96_t
   */
  typedef npy_int32 __pyx_t_5numpy_int32_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_int96      int96_t
   * #ctypedef npy_int128     int128_t
   */
  typedef npy_int64 __pyx_t_5numpy_int64_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
   * #ctypedef npy_int128     int128_t
   * 
   * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   */
  typedef npy_uint8 __pyx_t_5numpy_uint8_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
   * 
   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t
   */
  typedef npy_uint16 __pyx_t_5numpy_uint16_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint64     uint64_t
   * #ctypedef npy_uint96     uint96_t
   */
  typedef npy_uint32 __pyx_t_5numpy_uint32_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_uint96     uint96_t
   * #ctypedef npy_uint128    uint128_t
   */
  typedef npy_uint64 __pyx_t_5numpy_uint64_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
   * #ctypedef npy_uint128    uint128_t
   * 
   * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_float64    float64_t
   * #ctypedef npy_float80    float80_t
   */
  typedef npy_float32 __pyx_t_5numpy_float32_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
   * 
   * ctypedef npy_float32    float32_t
   * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_float80    float80_t
   * #ctypedef npy_float128   float128_t
   */
  typedef npy_float64 __pyx_t_5numpy_float64_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
   * # The int types are mapped a bit surprising --
   * # numpy.int corresponds to 'l' and numpy.long to 'q'
   * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   long_t
   * ctypedef npy_longlong   longlong_t
   */
  typedef npy_long __pyx_t_5numpy_int_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
   * # numpy.int corresponds to 'l' and numpy.long to 'q'
   * ctypedef npy_long       int_t
   * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   longlong_t
   * 
   */
  typedef npy_longlong __pyx_t_5numpy_long_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
   * ctypedef npy_long       int_t
   * ctypedef npy_longlong   long_t
   * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_ulong      uint_t
   */
  typedef npy_longlong __pyx_t_5numpy_longlong_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
   * ctypedef npy_longlong   longlong_t
   * 
   * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
   * ctypedef npy_ulonglong  ulong_t
   * ctypedef npy_ulonglong  ulonglong_t
   */
  typedef npy_ulong __pyx_t_5numpy_uint_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
   * 
   * ctypedef npy_ulong      uint_t
   * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
   * ctypedef npy_ulonglong  ulonglong_t
   * 
   */
  typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
   * ctypedef npy_ulong      uint_t
   * ctypedef npy_ulonglong  ulong_t
   * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_intp       intp_t
   */
  typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
   * ctypedef npy_ulonglong  ulonglong_t
   * 
   * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uintp      uintp_t
   * 
   */
  typedef npy_intp __pyx_t_5numpy_intp_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
   * 
   * ctypedef npy_intp       intp_t
   * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_double     float_t
   */
  typedef npy_uintp __pyx_t_5numpy_uintp_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
   * ctypedef npy_uintp      uintp_t
   * 
   * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
   * ctypedef npy_double     double_t
   * ctypedef npy_longdouble longdouble_t
   */
  typedef npy_double __pyx_t_5numpy_float_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
   * 
   * ctypedef npy_double     float_t
   * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longdouble longdouble_t
   * 
   */
  typedef npy_double __pyx_t_5numpy_double_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
   * ctypedef npy_double     float_t
   * ctypedef npy_double     double_t
   * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_cfloat      cfloat_t
   */
  typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      typedef ::std::complex< float > __pyx_t_float_complex;
    #else
      typedef float _Complex __pyx_t_float_complex;
    #endif
  #else
      typedef struct { float real, imag; } __pyx_t_float_complex;
  #endif
  
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      typedef ::std::complex< double > __pyx_t_double_complex;
    #else
      typedef double _Complex __pyx_t_double_complex;
    #endif
  #else
      typedef struct { double real, imag; } __pyx_t_double_complex;
  #endif
  
  
  /*--- Type declarations ---*/
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_P1Sampler2D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_P1Sampler3D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler3D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_Q1Sampler3D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_W1Sampler3D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_S2Sampler3D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler2D;
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_Q1Sampler2D;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
   * ctypedef npy_longdouble longdouble_t
   * 
   * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
   * ctypedef npy_cdouble     cdouble_t
   * ctypedef npy_clongdouble clongdouble_t
   */
  typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
   * 
   * ctypedef npy_cfloat      cfloat_t
   * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
   * ctypedef npy_clongdouble clongdouble_t
   * 
   */
  typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
   * ctypedef npy_cfloat      cfloat_t
   * ctypedef npy_cdouble     cdouble_t
   * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_cdouble     complex_t
   */
  typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
  
  /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
   * ctypedef npy_clongdouble clongdouble_t
   * 
   * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
   * 
   * cdef inline object PyArray_MultiIterNew1(a):
   */
  typedef npy_cdouble __pyx_t_5numpy_complex_t;
  struct __pyx_t_8pyembree_6rtcore_Vertex;
  struct __pyx_t_8pyembree_6rtcore_Triangle;
  struct __pyx_t_8pyembree_6rtcore_Vec3f;
  
  /* "pyembree/rtcore.pxd":29
   *     pass
   * 
   * cdef struct Vertex:             # <<<<<<<<<<<<<<
   *     float x, y, z, r
   * 
   */
  struct __pyx_t_8pyembree_6rtcore_Vertex {
    float x;
    float y;
    float z;
    float r;
  };
  
  /* "pyembree/rtcore.pxd":32
   *     float x, y, z, r
   * 
   * cdef struct Triangle:             # <<<<<<<<<<<<<<
   *     int v0, v1, v2
   * 
   */
  struct __pyx_t_8pyembree_6rtcore_Triangle {
    int v0;
    int v1;
    int v2;
  };
  
  /* "pyembree/rtcore.pxd":35
   *     int v0, v1, v2
   * 
   * cdef struct Vec3f:             # <<<<<<<<<<<<<<
   *     float x, y, z
   * 
   */
  struct __pyx_t_8pyembree_6rtcore_Vec3f {
    float x;
    float y;
    float z;
  };
  struct __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer;
  typedef struct __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer;
  struct __pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch;
  typedef struct __pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch __pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch;
  
  /* "yt/utilities/lib/mesh_construction.pxd":7
   * cimport numpy as np
   * 
   * ctypedef struct MeshDataContainer:             # <<<<<<<<<<<<<<
   *     Vertex* vertices       # array of triangle vertices
   *     Triangle* indices      # which vertices belong to which triangles
   */
  struct __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer {
    struct __pyx_t_8pyembree_6rtcore_Vertex *vertices;
    struct __pyx_t_8pyembree_6rtcore_Triangle *indices;
    double *field_data;
    int *element_indices;
    int tpe;
    int vpe;
    int fpe;
  };
  
  /* "yt/utilities/lib/mesh_construction.pxd":16
   *     int fpe                # the number of field values per element
   * 
   * ctypedef struct Patch:             # <<<<<<<<<<<<<<
   *     float[8][3] v
   *     unsigned int geomID
   */
  struct __pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch {
    float v[8][3];
    unsigned int geomID;
    __pyx_t_5numpy_float64_t *vertices;
    __pyx_t_5numpy_float64_t *field_data;
  };
  struct __pyx_t_2yt_9utilities_3lib_10primitives_Ray;
  struct __pyx_t_2yt_9utilities_3lib_10primitives_BBox;
  struct __pyx_t_2yt_9utilities_3lib_10primitives_RayHitData;
  struct __pyx_t_2yt_9utilities_3lib_10primitives_Triangle;
  struct __pyx_t_2yt_9utilities_3lib_10primitives_Patch;
  
  /* "yt/utilities/lib/primitives.pxd":7
   * from vec3_ops cimport dot, subtract, cross
   * 
   * cdef struct Ray:             # <<<<<<<<<<<<<<
   *     np.float64_t origin[3]
   *     np.float64_t direction[3]
   */
  struct __pyx_t_2yt_9utilities_3lib_10primitives_Ray {
    __pyx_t_5numpy_float64_t origin[3];
    __pyx_t_5numpy_float64_t direction[3];
    __pyx_t_5numpy_float64_t inv_dir[3];
    __pyx_t_5numpy_float64_t data_val;
    __pyx_t_5numpy_float64_t t_near;
    __pyx_t_5numpy_float64_t t_far;
    __pyx_t_5numpy_int64_t elem_id;
    __pyx_t_5numpy_int64_t near_boundary;
  };
  
  /* "yt/utilities/lib/primitives.pxd":17
   *     np.int64_t near_boundary
   * 
   * cdef struct BBox:             # <<<<<<<<<<<<<<
   *     np.float64_t left_edge[3]
   *     np.float64_t right_edge[3]
   */
  struct __pyx_t_2yt_9utilities_3lib_10primitives_BBox {
    __pyx_t_5numpy_float64_t left_edge[3];
    __pyx_t_5numpy_float64_t right_edge[3];
  };
  
  /* "yt/utilities/lib/primitives.pxd":21
   *     np.float64_t right_edge[3]
   * 
   * cdef struct RayHitData:             # <<<<<<<<<<<<<<
   *     np.float64_t u
   *     np.float64_t v
   */
  struct __pyx_t_2yt_9utilities_3lib_10primitives_RayHitData {
    __pyx_t_5numpy_float64_t u;
    __pyx_t_5numpy_float64_t v;
    __pyx_t_5numpy_float64_t t;
    __pyx_t_5numpy_int64_t converged;
  };
  
  /* "yt/utilities/lib/primitives.pxd":27
   *     np.int64_t converged
   * 
   * cdef struct Triangle:             # <<<<<<<<<<<<<<
   *     np.float64_t p0[3]
   *     np.float64_t p1[3]
   */
  struct __pyx_t_2yt_9utilities_3lib_10primitives_Triangle {
    __pyx_t_5numpy_float64_t p0[3];
    __pyx_t_5numpy_float64_t p1[3];
    __pyx_t_5numpy_float64_t p2[3];
    __pyx_t_5numpy_int64_t elem_id;
  };
  
  /* "yt/utilities/lib/primitives.pxd":47
   *                         BBox* bbox) nogil
   * 
   * cdef struct Patch:             # <<<<<<<<<<<<<<
   *     np.float64_t[8][3] v  # 8 vertices per patch
   *     np.int64_t elem_id
   */
  struct __pyx_t_2yt_9utilities_3lib_10primitives_Patch {
    __pyx_t_5numpy_float64_t v[8][3];
    __pyx_t_5numpy_int64_t elem_id;
  };
  
  /* "yt/utilities/lib/element_mappings.pxd":81
   * #          once it is converged.
   * #
   * ctypedef void (*func_type)(double* fx,             # <<<<<<<<<<<<<<
   *                            double* x,
   *                            double* vertices,
   */
  typedef void (*__pyx_t_2yt_9utilities_3lib_16element_mappings_func_type)(double *, double *, double *, double *);
  
  /* "yt/utilities/lib/element_mappings.pxd":101
   * #     tcol     - the third column of the jaocobian
   * #
   * ctypedef void (*jac_type3D)(double* rcol,             # <<<<<<<<<<<<<<
   *                             double* scol,
   *                             double* tcol,
   */
  typedef void (*__pyx_t_2yt_9utilities_3lib_16element_mappings_jac_type3D)(double *, double *, double *, double *, double *, double *);
  
  /* "yt/utilities/lib/element_mappings.pxd":123
   * #                The order of this array is [J11, J12, J21, J22]
   * #
   * ctypedef void (*jac_type2D)(double* A,             # <<<<<<<<<<<<<<
   *                             double* x,
   *                             double* vertices,
   */
  typedef void (*__pyx_t_2yt_9utilities_3lib_16element_mappings_jac_type2D)(double *, double *, double *, double *);
  
  /* "yt/utilities/lib/element_mappings.pxd":7
   * from libc.math cimport fabs, fmax
   * 
   * cdef class ElementSampler:             # <<<<<<<<<<<<<<
   * 
   *     # how close a point has to be to the element
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler {
    PyObject_HEAD
    struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *__pyx_vtab;
    __pyx_t_5numpy_float64_t inclusion_tol;
    int num_mapped_coords;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":36
   * 
   * 
   * cdef class P1Sampler2D(ElementSampler):             # <<<<<<<<<<<<<<
   * 
   *     cdef void map_real_to_unit(self,
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_P1Sampler2D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler __pyx_base;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":51
   * 
   * 
   * cdef class P1Sampler3D(ElementSampler):             # <<<<<<<<<<<<<<
   * 
   *     cdef void map_real_to_unit(self,
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_P1Sampler3D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler __pyx_base;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":129
   * 
   * 
   * cdef class NonlinearSolveSampler3D(ElementSampler):             # <<<<<<<<<<<<<<
   * 
   *     cdef int dim
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler3D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler __pyx_base;
    int dim;
    int max_iter;
    __pyx_t_5numpy_float64_t tolerance;
    __pyx_t_2yt_9utilities_3lib_16element_mappings_func_type func;
    __pyx_t_2yt_9utilities_3lib_16element_mappings_jac_type3D jac;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":143
   * 
   * 
   * cdef class Q1Sampler3D(NonlinearSolveSampler3D):             # <<<<<<<<<<<<<<
   * 
   *     cdef void map_real_to_unit(self,
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_Q1Sampler3D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler3D __pyx_base;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":160
   * 
   * 
   * cdef class W1Sampler3D(NonlinearSolveSampler3D):             # <<<<<<<<<<<<<<
   * 
   *     cdef void map_real_to_unit(self,
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_W1Sampler3D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler3D __pyx_base;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":178
   * 
   * 
   * cdef class S2Sampler3D(NonlinearSolveSampler3D):             # <<<<<<<<<<<<<<
   * 
   *     cdef void map_real_to_unit(self,
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_S2Sampler3D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler3D __pyx_base;
  };
  
  
  /* "yt/utilities/lib/element_mappings.pxd":196
   * 
   * 
   * cdef class NonlinearSolveSampler2D(ElementSampler):             # <<<<<<<<<<<<<<
   * 
   *     cdef int dim
   */
  struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler2D {
    struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler __pyx_base;
    int dim;
    int max_iter;
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  static PyTypeObject *__pyx_ptype_2yt_9utilities_3lib_16element_mappings_W1Sampler3D = 0;
  static PyTypeObject *__pyx_ptype_2yt_9utilities_3lib_16element_mappings_S2Sampler3D = 0;
  static PyTypeObject *__pyx_ptype_2yt_9utilities_3lib_16element_mappings_NonlinearSolveSampler2D = 0;
  static PyTypeObject *__pyx_ptype_2yt_9utilities_3lib_16element_mappings_Q1Sampler2D = 0;
  
  /* Module declarations from 'yt.utilities.lib.mesh_samplers' */
  static struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler *__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler = 0;
  static struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler *__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler = 0;
  static struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler *__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler = 0;
  static struct __pyx_obj_2yt_9utilities_3lib_16element_mappings_ElementSampler *__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler = 0;
  static void __pyx_f_2yt_9utilities_3lib_13mesh_samplers_get_hit_position(double *, void *, struct RTCRay &); /*proto*/
  #define __Pyx_MODULE_NAME "yt.utilities.lib.mesh_samplers"
  int __pyx_module_is_main_yt__utilities__lib__mesh_samplers = 0;
  
  /* Implementation of 'yt.utilities.lib.mesh_samplers' */
  static PyObject *__pyx_builtin_range;
  static PyObject *__pyx_builtin_ValueError;
  static PyObject *__pyx_builtin_RuntimeError;
  static char __pyx_k_B[] = "B";
  static char __pyx_k_H[] = "H";
  static char __pyx_k_I[] = "I";
  static char __pyx_k_L[] = "L";
  static char __pyx_k_O[] = "O";
  static char __pyx_k_Q[] = "Q";
  static char __pyx_k_b[] = "b";
  static char __pyx_k_d[] = "d";
  static char __pyx_k_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_Zd[] = "Zd";
  static char __pyx_k_Zf[] = "Zf";
  static char __pyx_k_Zg[] = "Zg";
  static char __pyx_k_main[] = "__main__";
  static char __pyx_k_test[] = "__test__";
  static char __pyx_k_range[] = "range";
  static char __pyx_k_ValueError[] = "ValueError";
  static char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
  static char __pyx_k_RuntimeError[] = "RuntimeError";
  static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
  static char __pyx_k_This_file_contains_functions_th[] = "\nThis file contains functions that sample a surface mesh at the point hit by\na ray. These can be used with pyembree in the form of \"filter feedback functions.\"\n\n\n";
  static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
  static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
  static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
  static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
  static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
  static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
  static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
  static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
  static PyObject *__pyx_n_s_RuntimeError;
  static PyObject *__pyx_n_s_ValueError;
  static PyObject *__pyx_n_s_main;
  static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
  static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
  static PyObject *__pyx_n_s_pyx_vtable;
  static PyObject *__pyx_n_s_range;
  static PyObject *__pyx_n_s_test;
  static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
  static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
  static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
  static PyObject *__pyx_tuple_;
  static PyObject *__pyx_tuple__2;
  static PyObject *__pyx_tuple__3;
  static PyObject *__pyx_tuple__4;
  static PyObject *__pyx_tuple__5;
  static PyObject *__pyx_tuple__6;
  
  /* "yt/utilities/lib/mesh_samplers.pyx":42
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void get_hit_position(double* position,             # <<<<<<<<<<<<<<
   *                            void* userPtr,
   *                            rtcr.RTCRay& ray) nogil:
   */
  
  static void __pyx_f_2yt_9utilities_3lib_13mesh_samplers_get_hit_position(double *__pyx_v_position, void *__pyx_v_userPtr, struct RTCRay &__pyx_v_ray) {
    int __pyx_v_primID;
    int __pyx_v_i;
    double __pyx_v_vertex_positions[3][3];
    struct __pyx_t_8pyembree_6rtcore_Triangle __pyx_v_tri;
    __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *__pyx_v_data;
    int __pyx_t_1;
    float __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":50
   *     cdef MeshDataContainer* data
   * 
   *     primID = ray.primID             # <<<<<<<<<<<<<<
   *     data = <MeshDataContainer*> userPtr
   *     tri = data.indices[primID]
   */
    __pyx_t_1 = __pyx_v_ray.primID;
    __pyx_v_primID = __pyx_t_1;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":51
   * 
   *     primID = ray.primID
   *     data = <MeshDataContainer*> userPtr             # <<<<<<<<<<<<<<
   *     tri = data.indices[primID]
   * 
   */
    __pyx_v_data = ((__pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *)__pyx_v_userPtr);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":52
   *     primID = ray.primID
   *     data = <MeshDataContainer*> userPtr
   *     tri = data.indices[primID]             # <<<<<<<<<<<<<<
   * 
   *     vertex_positions[0][0] = data.vertices[tri.v0].x
   */
    __pyx_v_tri = (__pyx_v_data->indices[__pyx_v_primID]);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":54
   *     tri = data.indices[primID]
   * 
   *     vertex_positions[0][0] = data.vertices[tri.v0].x             # <<<<<<<<<<<<<<
   *     vertex_positions[0][1] = data.vertices[tri.v0].y
   *     vertex_positions[0][2] = data.vertices[tri.v0].z
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v0]).x;
    ((__pyx_v_vertex_positions[0])[0]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":55
   * 
   *     vertex_positions[0][0] = data.vertices[tri.v0].x
   *     vertex_positions[0][1] = data.vertices[tri.v0].y             # <<<<<<<<<<<<<<
   *     vertex_positions[0][2] = data.vertices[tri.v0].z
   * 
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v0]).y;
    ((__pyx_v_vertex_positions[0])[1]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":56
   *     vertex_positions[0][0] = data.vertices[tri.v0].x
   *     vertex_positions[0][1] = data.vertices[tri.v0].y
   *     vertex_positions[0][2] = data.vertices[tri.v0].z             # <<<<<<<<<<<<<<
   * 
   *     vertex_positions[1][0] = data.vertices[tri.v1].x
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v0]).z;
    ((__pyx_v_vertex_positions[0])[2]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":58
   *     vertex_positions[0][2] = data.vertices[tri.v0].z
   * 
   *     vertex_positions[1][0] = data.vertices[tri.v1].x             # <<<<<<<<<<<<<<
   *     vertex_positions[1][1] = data.vertices[tri.v1].y
   *     vertex_positions[1][2] = data.vertices[tri.v1].z
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v1]).x;
    ((__pyx_v_vertex_positions[1])[0]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":59
   * 
   *     vertex_positions[1][0] = data.vertices[tri.v1].x
   *     vertex_positions[1][1] = data.vertices[tri.v1].y             # <<<<<<<<<<<<<<
   *     vertex_positions[1][2] = data.vertices[tri.v1].z
   * 
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v1]).y;
    ((__pyx_v_vertex_positions[1])[1]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":60
   *     vertex_positions[1][0] = data.vertices[tri.v1].x
   *     vertex_positions[1][1] = data.vertices[tri.v1].y
   *     vertex_positions[1][2] = data.vertices[tri.v1].z             # <<<<<<<<<<<<<<
   * 
   *     vertex_positions[2][0] = data.vertices[tri.v2].x
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v1]).z;
    ((__pyx_v_vertex_positions[1])[2]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":62
   *     vertex_positions[1][2] = data.vertices[tri.v1].z
   * 
   *     vertex_positions[2][0] = data.vertices[tri.v2].x             # <<<<<<<<<<<<<<
   *     vertex_positions[2][1] = data.vertices[tri.v2].y
   *     vertex_positions[2][2] = data.vertices[tri.v2].z
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v2]).x;
    ((__pyx_v_vertex_positions[2])[0]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":63
   * 
   *     vertex_positions[2][0] = data.vertices[tri.v2].x
   *     vertex_positions[2][1] = data.vertices[tri.v2].y             # <<<<<<<<<<<<<<
   *     vertex_positions[2][2] = data.vertices[tri.v2].z
   * 
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v2]).y;
    ((__pyx_v_vertex_positions[2])[1]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":64
   *     vertex_positions[2][0] = data.vertices[tri.v2].x
   *     vertex_positions[2][1] = data.vertices[tri.v2].y
   *     vertex_positions[2][2] = data.vertices[tri.v2].z             # <<<<<<<<<<<<<<
   * 
   *     for i in range(3):
   */
    __pyx_t_2 = (__pyx_v_data->vertices[__pyx_v_tri.v2]).z;
    ((__pyx_v_vertex_positions[2])[2]) = __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":66
   *     vertex_positions[2][2] = data.vertices[tri.v2].z
   * 
   *     for i in range(3):             # <<<<<<<<<<<<<<
   *         position[i] = vertex_positions[0][i]*(1.0 - ray.u - ray.v) + \
   *                       vertex_positions[1][i]*ray.u + \
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 3; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":67
   * 
   *     for i in range(3):
   *         position[i] = vertex_positions[0][i]*(1.0 - ray.u - ray.v) + \             # <<<<<<<<<<<<<<
   *                       vertex_positions[1][i]*ray.u + \
   *                       vertex_positions[2][i]*ray.v
   */
      (__pyx_v_position[__pyx_v_i]) = (((((__pyx_v_vertex_positions[0])[__pyx_v_i]) * ((1.0 - __pyx_v_ray.u) - __pyx_v_ray.v)) + (((__pyx_v_vertex_positions[1])[__pyx_v_i]) * __pyx_v_ray.u)) + (((__pyx_v_vertex_positions[2])[__pyx_v_i]) * __pyx_v_ray.v));
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":42
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void get_hit_position(double* position,             # <<<<<<<<<<<<<<
   *                            void* userPtr,
   *                            rtcr.RTCRay& ray) nogil:
   */
  
    /* function exit code */
  }
  
  /* "yt/utilities/lib/mesh_samplers.pyx":75
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void sample_hex(void* userPtr,             # <<<<<<<<<<<<<<
   *                      rtcr.RTCRay& ray) nogil:
   *     cdef int ray_id, elem_id, i
   */
  
  static void __pyx_f_2yt_9utilities_3lib_13mesh_samplers_sample_hex(void *__pyx_v_userPtr, struct RTCRay &__pyx_v_ray) {
    int __pyx_v_ray_id;
    int __pyx_v_elem_id;
    int __pyx_v_i;
    double __pyx_v_val;
    double __pyx_v_field_data[8];
    int __pyx_v_element_indices[8];
    double __pyx_v_vertices[24];
    double __pyx_v_position[3];
    __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *__pyx_v_data;
    double __pyx_v_mapped_coord[3];
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    float __pyx_t_4;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":85
   *     cdef MeshDataContainer* data
   * 
   *     data = <MeshDataContainer*> userPtr             # <<<<<<<<<<<<<<
   *     ray_id = ray.primID
   *     if ray_id == -1:
   */
    __pyx_v_data = ((__pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *)__pyx_v_userPtr);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":86
   * 
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID             # <<<<<<<<<<<<<<
   *     if ray_id == -1:
   *         return
   */
    __pyx_t_1 = __pyx_v_ray.primID;
    __pyx_v_ray_id = __pyx_t_1;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":87
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   * 
   */
    __pyx_t_2 = ((__pyx_v_ray_id == -1L) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":88
   *     ray_id = ray.primID
   *     if ray_id == -1:
   *         return             # <<<<<<<<<<<<<<
   * 
   *     # ray_id records the id number of the hit according to
   */
      goto __pyx_L0;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":87
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   * 
   */
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":94
   *     # we convert this to the element id by dividing by the
   *     # number of triangles per element.
   *     elem_id = ray_id / data.tpe             # <<<<<<<<<<<<<<
   * 
   *     get_hit_position(position, userPtr, ray)
   */
    __pyx_v_elem_id = (__pyx_v_ray_id / __pyx_v_data->tpe);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":96
   *     elem_id = ray_id / data.tpe
   * 
   *     get_hit_position(position, userPtr, ray)             # <<<<<<<<<<<<<<
   * 
   *     for i in range(8):
   */
    __pyx_f_2yt_9utilities_3lib_13mesh_samplers_get_hit_position(__pyx_v_position, __pyx_v_userPtr, __pyx_v_ray);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":98
   *     get_hit_position(position, userPtr, ray)
   * 
   *     for i in range(8):             # <<<<<<<<<<<<<<
   *         element_indices[i] = data.element_indices[elem_id*8+i]
   * 
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 8; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":99
   * 
   *     for i in range(8):
   *         element_indices[i] = data.element_indices[elem_id*8+i]             # <<<<<<<<<<<<<<
   * 
   *     for i in range(data.fpe):
   */
      (__pyx_v_element_indices[__pyx_v_i]) = (__pyx_v_data->element_indices[((__pyx_v_elem_id * 8) + __pyx_v_i)]);
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":101
   *         element_indices[i] = data.element_indices[elem_id*8+i]
   * 
   *     for i in range(data.fpe):             # <<<<<<<<<<<<<<
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]
   * 
   */
    __pyx_t_1 = __pyx_v_data->fpe;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_1; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":102
   * 
   *     for i in range(data.fpe):
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]             # <<<<<<<<<<<<<<
   * 
   *     for i in range(8):
   */
      (__pyx_v_field_data[__pyx_v_i]) = (__pyx_v_data->field_data[((__pyx_v_elem_id * __pyx_v_data->fpe) + __pyx_v_i)]);
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":104
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]
   * 
   *     for i in range(8):             # <<<<<<<<<<<<<<
   *         vertices[i*3]     = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 8; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":105
   * 
   *     for i in range(8):
   *         vertices[i*3]     = data.vertices[element_indices[i]].x             # <<<<<<<<<<<<<<
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   */
      __pyx_t_4 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).x;
      (__pyx_v_vertices[(__pyx_v_i * 3)]) = __pyx_t_4;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":106
   *     for i in range(8):
   *         vertices[i*3]     = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y             # <<<<<<<<<<<<<<
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   * 
   */
      __pyx_t_4 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).y;
      (__pyx_v_vertices[((__pyx_v_i * 3) + 1)]) = __pyx_t_4;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":107
   *         vertices[i*3]     = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z             # <<<<<<<<<<<<<<
   * 
   *     # we use ray.time to pass the value of the field
   */
      __pyx_t_4 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).z;
      (__pyx_v_vertices[((__pyx_v_i * 3) + 2)]) = __pyx_t_4;
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":111
   *     # we use ray.time to pass the value of the field
   *     cdef double mapped_coord[3]
   *     Q1Sampler.map_real_to_unit(mapped_coord, vertices, position)             # <<<<<<<<<<<<<<
   *     if data.fpe == 1:
   *         val = field_data[0]
   */
    ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler->__pyx_vtab)->map_real_to_unit(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler, __pyx_v_mapped_coord, __pyx_v_vertices, __pyx_v_position);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":112
   *     cdef double mapped_coord[3]
   *     Q1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:             # <<<<<<<<<<<<<<
   *         val = field_data[0]
   *     else:
   */
    __pyx_t_2 = ((__pyx_v_data->fpe == 1) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":113
   *     Q1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:
   *         val = field_data[0]             # <<<<<<<<<<<<<<
   *     else:
   *         val = Q1Sampler.sample_at_unit_point(mapped_coord, field_data)
   */
      __pyx_v_val = (__pyx_v_field_data[0]);
  
      /* "yt/utilities/lib/mesh_samplers.pyx":112
   *     cdef double mapped_coord[3]
   *     Q1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:             # <<<<<<<<<<<<<<
   *         val = field_data[0]
   *     else:
   */
      goto __pyx_L10;
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":115
   *         val = field_data[0]
   *     else:
   *         val = Q1Sampler.sample_at_unit_point(mapped_coord, field_data)             # <<<<<<<<<<<<<<
   *     ray.time = val
   * 
   */
    /*else*/ {
      __pyx_v_val = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler->__pyx_vtab)->sample_at_unit_point(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler, __pyx_v_mapped_coord, __pyx_v_field_data);
    }
    __pyx_L10:;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":116
   *     else:
   *         val = Q1Sampler.sample_at_unit_point(mapped_coord, field_data)
   *     ray.time = val             # <<<<<<<<<<<<<<
   * 
   *     # we use ray.instID to pass back whether the ray is near the
   */
    __pyx_v_ray.time = __pyx_v_val;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":120
   *     # we use ray.instID to pass back whether the ray is near the
   *     # element boundary or not (used to annotate mesh lines)
   *     ray.instID = Q1Sampler.check_mesh_lines(mapped_coord)             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_v_ray.instID = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler->__pyx_vtab)->check_mesh_lines(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_Q1Sampler, __pyx_v_mapped_coord);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":75
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void sample_hex(void* userPtr,             # <<<<<<<<<<<<<<
   *                      rtcr.RTCRay& ray) nogil:
   *     cdef int ray_id, elem_id, i
   */
  
    /* function exit code */
    __pyx_L0:;
  }
  
  /* "yt/utilities/lib/mesh_samplers.pyx":126
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void sample_wedge(void* userPtr,             # <<<<<<<<<<<<<<
   *                        rtcr.RTCRay& ray) nogil:
   *     cdef int ray_id, elem_id, i
   */
  
  static void __pyx_f_2yt_9utilities_3lib_13mesh_samplers_sample_wedge(void *__pyx_v_userPtr, struct RTCRay &__pyx_v_ray) {
    int __pyx_v_ray_id;
    int __pyx_v_elem_id;
    int __pyx_v_i;
    double __pyx_v_val;
    double __pyx_v_field_data[6];
    int __pyx_v_element_indices[6];
    double __pyx_v_vertices[18];
    double __pyx_v_position[3];
    __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *__pyx_v_data;
    double __pyx_v_mapped_coord[3];
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    float __pyx_t_4;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":136
   *     cdef MeshDataContainer* data
   * 
   *     data = <MeshDataContainer*> userPtr             # <<<<<<<<<<<<<<
   *     ray_id = ray.primID
   *     if ray_id == -1:
   */
    __pyx_v_data = ((__pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *)__pyx_v_userPtr);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":137
   * 
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID             # <<<<<<<<<<<<<<
   *     if ray_id == -1:
   *         return
   */
    __pyx_t_1 = __pyx_v_ray.primID;
    __pyx_v_ray_id = __pyx_t_1;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":138
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   * 
   */
    __pyx_t_2 = ((__pyx_v_ray_id == -1L) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":139
   *     ray_id = ray.primID
   *     if ray_id == -1:
   *         return             # <<<<<<<<<<<<<<
   * 
   *     # ray_id records the id number of the hit according to
   */
      goto __pyx_L0;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":138
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   * 
   */
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":145
   *     # we convert this to the element id by dividing by the
   *     # number of triangles per element.
   *     elem_id = ray_id / data.tpe             # <<<<<<<<<<<<<<
   * 
   *     get_hit_position(position, userPtr, ray)
   */
    __pyx_v_elem_id = (__pyx_v_ray_id / __pyx_v_data->tpe);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":147
   *     elem_id = ray_id / data.tpe
   * 
   *     get_hit_position(position, userPtr, ray)             # <<<<<<<<<<<<<<
   * 
   *     for i in range(6):
   */
    __pyx_f_2yt_9utilities_3lib_13mesh_samplers_get_hit_position(__pyx_v_position, __pyx_v_userPtr, __pyx_v_ray);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":149
   *     get_hit_position(position, userPtr, ray)
   * 
   *     for i in range(6):             # <<<<<<<<<<<<<<
   *         element_indices[i] = data.element_indices[elem_id*6+i]
   * 
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 6; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":150
   * 
   *     for i in range(6):
   *         element_indices[i] = data.element_indices[elem_id*6+i]             # <<<<<<<<<<<<<<
   * 
   *     for i in range(data.fpe):
   */
      (__pyx_v_element_indices[__pyx_v_i]) = (__pyx_v_data->element_indices[((__pyx_v_elem_id * 6) + __pyx_v_i)]);
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":152
   *         element_indices[i] = data.element_indices[elem_id*6+i]
   * 
   *     for i in range(data.fpe):             # <<<<<<<<<<<<<<
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]
   * 
   */
    __pyx_t_1 = __pyx_v_data->fpe;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_1; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":153
   * 
   *     for i in range(data.fpe):
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]             # <<<<<<<<<<<<<<
   * 
   *     for i in range(6):
   */
      (__pyx_v_field_data[__pyx_v_i]) = (__pyx_v_data->field_data[((__pyx_v_elem_id * __pyx_v_data->fpe) + __pyx_v_i)]);
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":155
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]
   * 
   *     for i in range(6):             # <<<<<<<<<<<<<<
   *         vertices[i*3]     = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 6; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":156
   * 
   *     for i in range(6):
   *         vertices[i*3]     = data.vertices[element_indices[i]].x             # <<<<<<<<<<<<<<
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   */
      __pyx_t_4 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).x;
      (__pyx_v_vertices[(__pyx_v_i * 3)]) = __pyx_t_4;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":157
   *     for i in range(6):
   *         vertices[i*3]     = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y             # <<<<<<<<<<<<<<
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   * 
   */
      __pyx_t_4 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).y;
      (__pyx_v_vertices[((__pyx_v_i * 3) + 1)]) = __pyx_t_4;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":158
   *         vertices[i*3]     = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z             # <<<<<<<<<<<<<<
   * 
   *     # we use ray.time to pass the value of the field
   */
      __pyx_t_4 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).z;
      (__pyx_v_vertices[((__pyx_v_i * 3) + 2)]) = __pyx_t_4;
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":162
   *     # we use ray.time to pass the value of the field
   *     cdef double mapped_coord[3]
   *     W1Sampler.map_real_to_unit(mapped_coord, vertices, position)             # <<<<<<<<<<<<<<
   *     if data.fpe == 1:
   *         val = field_data[0]
   */
    ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler->__pyx_vtab)->map_real_to_unit(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler, __pyx_v_mapped_coord, __pyx_v_vertices, __pyx_v_position);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":163
   *     cdef double mapped_coord[3]
   *     W1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:             # <<<<<<<<<<<<<<
   *         val = field_data[0]
   *     else:
   */
    __pyx_t_2 = ((__pyx_v_data->fpe == 1) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":164
   *     W1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:
   *         val = field_data[0]             # <<<<<<<<<<<<<<
   *     else:
   *         val = W1Sampler.sample_at_unit_point(mapped_coord, field_data)
   */
      __pyx_v_val = (__pyx_v_field_data[0]);
  
      /* "yt/utilities/lib/mesh_samplers.pyx":163
   *     cdef double mapped_coord[3]
   *     W1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:             # <<<<<<<<<<<<<<
   *         val = field_data[0]
   *     else:
   */
      goto __pyx_L10;
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":166
   *         val = field_data[0]
   *     else:
   *         val = W1Sampler.sample_at_unit_point(mapped_coord, field_data)             # <<<<<<<<<<<<<<
   *     ray.time = val
   *     ray.instID = W1Sampler.check_mesh_lines(mapped_coord)
   */
    /*else*/ {
      __pyx_v_val = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler->__pyx_vtab)->sample_at_unit_point(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler, __pyx_v_mapped_coord, __pyx_v_field_data);
    }
    __pyx_L10:;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":167
   *     else:
   *         val = W1Sampler.sample_at_unit_point(mapped_coord, field_data)
   *     ray.time = val             # <<<<<<<<<<<<<<
   *     ray.instID = W1Sampler.check_mesh_lines(mapped_coord)
   * 
   */
    __pyx_v_ray.time = __pyx_v_val;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":168
   *         val = W1Sampler.sample_at_unit_point(mapped_coord, field_data)
   *     ray.time = val
   *     ray.instID = W1Sampler.check_mesh_lines(mapped_coord)             # <<<<<<<<<<<<<<
   * 
   * @cython.boundscheck(False)
   */
    __pyx_v_ray.instID = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler->__pyx_vtab)->check_mesh_lines(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_W1Sampler, __pyx_v_mapped_coord);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":126
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void sample_wedge(void* userPtr,             # <<<<<<<<<<<<<<
   *                        rtcr.RTCRay& ray) nogil:
   *     cdef int ray_id, elem_id, i
   */
  
    /* function exit code */
    __pyx_L0:;
  }
  
  /* "yt/utilities/lib/mesh_samplers.pyx":174
   * @cython.initializedcheck(False)
   * @cython.cdivision(True)
   * cdef void sample_hex20(void* userPtr,             # <<<<<<<<<<<<<<
   *                        rtcr.RTCRay& ray) nogil:
   *     cdef int ray_id, elem_id, i
   */
  
  static void __pyx_f_2yt_9utilities_3lib_13mesh_samplers_sample_hex20(void *__pyx_v_userPtr, struct RTCRay &__pyx_v_ray) {
    int __pyx_v_ray_id;
    CYTHON_UNUSED int __pyx_v_elem_id;
    int __pyx_v_i;
    double __pyx_v_val;
    double __pyx_v_position[3];
    float __pyx_v_pos[3];
    __pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch *__pyx_v_data;
    __pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch __pyx_v_patch;
    double __pyx_v_mapped_coord[3];
    int __pyx_t_1;
    int __pyx_t_2;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":182
   *     cdef Patch* data
   * 
   *     data = <Patch*> userPtr             # <<<<<<<<<<<<<<
   *     ray_id = ray.primID
   *     if ray_id == -1:
   */
    __pyx_v_data = ((__pyx_t_2yt_9utilities_3lib_17mesh_construction_Patch *)__pyx_v_userPtr);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":183
   * 
   *     data = <Patch*> userPtr
   *     ray_id = ray.primID             # <<<<<<<<<<<<<<
   *     if ray_id == -1:
   *         return
   */
    __pyx_t_1 = __pyx_v_ray.primID;
    __pyx_v_ray_id = __pyx_t_1;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":184
   *     data = <Patch*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   *     cdef Patch patch = data[ray_id]
   */
    __pyx_t_2 = ((__pyx_v_ray_id == -1L) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":185
   *     ray_id = ray.primID
   *     if ray_id == -1:
   *         return             # <<<<<<<<<<<<<<
   *     cdef Patch patch = data[ray_id]
   * 
   */
      goto __pyx_L0;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":184
   *     data = <Patch*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   *     cdef Patch patch = data[ray_id]
   */
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":186
   *     if ray_id == -1:
   *         return
   *     cdef Patch patch = data[ray_id]             # <<<<<<<<<<<<<<
   * 
   *     # ray_id records the id number of the hit according to
   */
    __pyx_v_patch = (__pyx_v_data[__pyx_v_ray_id]);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":192
   *     # we convert this to the element id by dividing by the
   *     # number of patches per element.
   *     elem_id = ray_id / 6             # <<<<<<<<<<<<<<
   * 
   *     # fills "position" with the physical position of the hit
   */
    __pyx_v_elem_id = (__pyx_v_ray_id / 6);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":195
   * 
   *     # fills "position" with the physical position of the hit
   *     patchSurfaceFunc(data[ray_id].v, ray.u, ray.v, pos)             # <<<<<<<<<<<<<<
   *     for i in range(3):
   *         position[i] = <double> pos[i]
   */
    __pyx_fuse_0__pyx_f_2yt_9utilities_3lib_10primitives_patchSurfaceFunc((__pyx_v_data[__pyx_v_ray_id]).v, __pyx_v_ray.u, __pyx_v_ray.v, __pyx_v_pos);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":196
   *     # fills "position" with the physical position of the hit
   *     patchSurfaceFunc(data[ray_id].v, ray.u, ray.v, pos)
   *     for i in range(3):             # <<<<<<<<<<<<<<
   *         position[i] = <double> pos[i]
   * 
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 3; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":197
   *     patchSurfaceFunc(data[ray_id].v, ray.u, ray.v, pos)
   *     for i in range(3):
   *         position[i] = <double> pos[i]             # <<<<<<<<<<<<<<
   * 
   *     # we use ray.time to pass the value of the field
   */
      (__pyx_v_position[__pyx_v_i]) = ((double)(__pyx_v_pos[__pyx_v_i]));
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":201
   *     # we use ray.time to pass the value of the field
   *     cdef double mapped_coord[3]
   *     S2Sampler.map_real_to_unit(mapped_coord, patch.vertices, position)             # <<<<<<<<<<<<<<
   *     val = S2Sampler.sample_at_unit_point(mapped_coord, patch.field_data)
   *     ray.time = val
   */
    ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler->__pyx_vtab)->map_real_to_unit(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler, __pyx_v_mapped_coord, __pyx_v_patch.vertices, __pyx_v_position);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":202
   *     cdef double mapped_coord[3]
   *     S2Sampler.map_real_to_unit(mapped_coord, patch.vertices, position)
   *     val = S2Sampler.sample_at_unit_point(mapped_coord, patch.field_data)             # <<<<<<<<<<<<<<
   *     ray.time = val
   *     ray.instID = S2Sampler.check_mesh_lines(mapped_coord)
   */
    __pyx_v_val = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler->__pyx_vtab)->sample_at_unit_point(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler, __pyx_v_mapped_coord, __pyx_v_patch.field_data);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":203
   *     S2Sampler.map_real_to_unit(mapped_coord, patch.vertices, position)
   *     val = S2Sampler.sample_at_unit_point(mapped_coord, patch.field_data)
   *     ray.time = val             # <<<<<<<<<<<<<<
   *     ray.instID = S2Sampler.check_mesh_lines(mapped_coord)
   * 
   */
    __pyx_v_ray.time = __pyx_v_val;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":204
   *     val = S2Sampler.sample_at_unit_point(mapped_coord, patch.field_data)
   *     ray.time = val
   *     ray.instID = S2Sampler.check_mesh_lines(mapped_coord)             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_v_ray.instID = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler->__pyx_vtab)->check_mesh_lines(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_S2Sampler, __pyx_v_mapped_coord);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":174
   * @cython.initializedcheck(False)
   * @cython.cdivision(True)
   * cdef void sample_hex20(void* userPtr,             # <<<<<<<<<<<<<<
   *                        rtcr.RTCRay& ray) nogil:
   *     cdef int ray_id, elem_id, i
   */
  
    /* function exit code */
    __pyx_L0:;
  }
  
  /* "yt/utilities/lib/mesh_samplers.pyx":210
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void sample_tetra(void* userPtr,             # <<<<<<<<<<<<<<
   *                        rtcr.RTCRay& ray) nogil:
   * 
   */
  
  static void __pyx_f_2yt_9utilities_3lib_13mesh_samplers_sample_tetra(void *__pyx_v_userPtr, struct RTCRay &__pyx_v_ray) {
    int __pyx_v_ray_id;
    int __pyx_v_elem_id;
    int __pyx_v_i;
    double __pyx_v_val;
    double __pyx_v_field_data[4];
    int __pyx_v_element_indices[4];
    double __pyx_v_vertices[12];
    double __pyx_v_position[3];
    __pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *__pyx_v_data;
    double __pyx_v_mapped_coord[4];
    int __pyx_t_1;
    int __pyx_t_2;
    float __pyx_t_3;
    int __pyx_t_4;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":221
   *     cdef MeshDataContainer* data
   * 
   *     data = <MeshDataContainer*> userPtr             # <<<<<<<<<<<<<<
   *     ray_id = ray.primID
   *     if ray_id == -1:
   */
    __pyx_v_data = ((__pyx_t_2yt_9utilities_3lib_17mesh_construction_MeshDataContainer *)__pyx_v_userPtr);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":222
   * 
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID             # <<<<<<<<<<<<<<
   *     if ray_id == -1:
   *         return
   */
    __pyx_t_1 = __pyx_v_ray.primID;
    __pyx_v_ray_id = __pyx_t_1;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":223
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   * 
   */
    __pyx_t_2 = ((__pyx_v_ray_id == -1L) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":224
   *     ray_id = ray.primID
   *     if ray_id == -1:
   *         return             # <<<<<<<<<<<<<<
   * 
   *     get_hit_position(position, userPtr, ray)
   */
      goto __pyx_L0;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":223
   *     data = <MeshDataContainer*> userPtr
   *     ray_id = ray.primID
   *     if ray_id == -1:             # <<<<<<<<<<<<<<
   *         return
   * 
   */
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":226
   *         return
   * 
   *     get_hit_position(position, userPtr, ray)             # <<<<<<<<<<<<<<
   * 
   *     # ray_id records the id number of the hit according to
   */
    __pyx_f_2yt_9utilities_3lib_13mesh_samplers_get_hit_position(__pyx_v_position, __pyx_v_userPtr, __pyx_v_ray);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":232
   *     # we convert this to the element id by dividing by the
   *     # number of triangles per element.
   *     elem_id = ray_id / data.tpe             # <<<<<<<<<<<<<<
   * 
   *     for i in range(4):
   */
    __pyx_v_elem_id = (__pyx_v_ray_id / __pyx_v_data->tpe);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":234
   *     elem_id = ray_id / data.tpe
   * 
   *     for i in range(4):             # <<<<<<<<<<<<<<
   *         element_indices[i] = data.element_indices[elem_id*4+i]
   *         vertices[i*3] = data.vertices[element_indices[i]].x
   */
    for (__pyx_t_1 = 0; __pyx_t_1 < 4; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":235
   * 
   *     for i in range(4):
   *         element_indices[i] = data.element_indices[elem_id*4+i]             # <<<<<<<<<<<<<<
   *         vertices[i*3] = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   */
      (__pyx_v_element_indices[__pyx_v_i]) = (__pyx_v_data->element_indices[((__pyx_v_elem_id * 4) + __pyx_v_i)]);
  
      /* "yt/utilities/lib/mesh_samplers.pyx":236
   *     for i in range(4):
   *         element_indices[i] = data.element_indices[elem_id*4+i]
   *         vertices[i*3] = data.vertices[element_indices[i]].x             # <<<<<<<<<<<<<<
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   */
      __pyx_t_3 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).x;
      (__pyx_v_vertices[(__pyx_v_i * 3)]) = __pyx_t_3;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":237
   *         element_indices[i] = data.element_indices[elem_id*4+i]
   *         vertices[i*3] = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y             # <<<<<<<<<<<<<<
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   * 
   */
      __pyx_t_3 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).y;
      (__pyx_v_vertices[((__pyx_v_i * 3) + 1)]) = __pyx_t_3;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":238
   *         vertices[i*3] = data.vertices[element_indices[i]].x
   *         vertices[i*3 + 1] = data.vertices[element_indices[i]].y
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z             # <<<<<<<<<<<<<<
   * 
   *     for i in range(data.fpe):
   */
      __pyx_t_3 = (__pyx_v_data->vertices[(__pyx_v_element_indices[__pyx_v_i])]).z;
      (__pyx_v_vertices[((__pyx_v_i * 3) + 2)]) = __pyx_t_3;
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":240
   *         vertices[i*3 + 2] = data.vertices[element_indices[i]].z
   * 
   *     for i in range(data.fpe):             # <<<<<<<<<<<<<<
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]
   * 
   */
    __pyx_t_1 = __pyx_v_data->fpe;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;
  
      /* "yt/utilities/lib/mesh_samplers.pyx":241
   * 
   *     for i in range(data.fpe):
   *         field_data[i] = data.field_data[elem_id*data.fpe+i]             # <<<<<<<<<<<<<<
   * 
   *     # we use ray.time to pass the value of the field
   */
      (__pyx_v_field_data[__pyx_v_i]) = (__pyx_v_data->field_data[((__pyx_v_elem_id * __pyx_v_data->fpe) + __pyx_v_i)]);
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":245
   *     # we use ray.time to pass the value of the field
   *     cdef double mapped_coord[4]
   *     P1Sampler.map_real_to_unit(mapped_coord, vertices, position)             # <<<<<<<<<<<<<<
   *     if data.fpe == 1:
   *         val = field_data[0]
   */
    ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler->__pyx_vtab)->map_real_to_unit(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler, __pyx_v_mapped_coord, __pyx_v_vertices, __pyx_v_position);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":246
   *     cdef double mapped_coord[4]
   *     P1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:             # <<<<<<<<<<<<<<
   *         val = field_data[0]
   *     else:
   */
    __pyx_t_2 = ((__pyx_v_data->fpe == 1) != 0);
    if (__pyx_t_2) {
  
      /* "yt/utilities/lib/mesh_samplers.pyx":247
   *     P1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:
   *         val = field_data[0]             # <<<<<<<<<<<<<<
   *     else:
   *         val = P1Sampler.sample_at_unit_point(mapped_coord, field_data)
   */
      __pyx_v_val = (__pyx_v_field_data[0]);
  
      /* "yt/utilities/lib/mesh_samplers.pyx":246
   *     cdef double mapped_coord[4]
   *     P1Sampler.map_real_to_unit(mapped_coord, vertices, position)
   *     if data.fpe == 1:             # <<<<<<<<<<<<<<
   *         val = field_data[0]
   *     else:
   */
      goto __pyx_L8;
    }
  
    /* "yt/utilities/lib/mesh_samplers.pyx":249
   *         val = field_data[0]
   *     else:
   *         val = P1Sampler.sample_at_unit_point(mapped_coord, field_data)             # <<<<<<<<<<<<<<
   *     ray.time = val
   *     ray.instID = P1Sampler.check_mesh_lines(mapped_coord)
   */
    /*else*/ {
      __pyx_v_val = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler->__pyx_vtab)->sample_at_unit_point(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler, __pyx_v_mapped_coord, __pyx_v_field_data);
    }
    __pyx_L8:;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":250
   *     else:
   *         val = P1Sampler.sample_at_unit_point(mapped_coord, field_data)
   *     ray.time = val             # <<<<<<<<<<<<<<
   *     ray.instID = P1Sampler.check_mesh_lines(mapped_coord)
   */
    __pyx_v_ray.time = __pyx_v_val;
  
    /* "yt/utilities/lib/mesh_samplers.pyx":251
   *         val = P1Sampler.sample_at_unit_point(mapped_coord, field_data)
   *     ray.time = val
   *     ray.instID = P1Sampler.check_mesh_lines(mapped_coord)             # <<<<<<<<<<<<<<
   */
    __pyx_v_ray.instID = ((struct __pyx_vtabstruct_2yt_9utilities_3lib_16element_mappings_ElementSampler *)__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler->__pyx_vtab)->check_mesh_lines(__pyx_v_2yt_9utilities_3lib_13mesh_samplers_P1Sampler, __pyx_v_mapped_coord);
  
    /* "yt/utilities/lib/mesh_samplers.pyx":210
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef void sample_tetra(void* userPtr,             # <<<<<<<<<<<<<<
   *                        rtcr.RTCRay& ray) nogil:
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
  }
  
  /* "vec3_ops.pxd":9
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline cython.floating dot(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                                 const cython.floating[3] b) nogil:
   *     return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]
   */
  
  static CYTHON_INLINE float __pyx_fuse_0__pyx_f_2yt_9utilities_3lib_8vec3_ops_dot(float *__pyx_v_a, float *__pyx_v_b) {
    float __pyx_r;
  
    /* "vec3_ops.pxd":11
   * cdef inline cython.floating dot(const cython.floating[3] a,
   *                                 const cython.floating[3] b) nogil:
   *     return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_r = ((((__pyx_v_a[0]) * (__pyx_v_b[0])) + ((__pyx_v_a[1]) * (__pyx_v_b[1]))) + ((__pyx_v_a[2]) * (__pyx_v_b[2])));
    goto __pyx_L0;
  
    /* "vec3_ops.pxd":9
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline cython.floating dot(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                                 const cython.floating[3] b) nogil:
   *     return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  static CYTHON_INLINE double __pyx_fuse_1__pyx_f_2yt_9utilities_3lib_8vec3_ops_dot(double *__pyx_v_a, double *__pyx_v_b) {
    double __pyx_r;
  
    /* "vec3_ops.pxd":11
   * cdef inline cython.floating dot(const cython.floating[3] a,
   *                                 const cython.floating[3] b) nogil:
   *     return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_r = ((((__pyx_v_a[0]) * (__pyx_v_b[0])) + ((__pyx_v_a[1]) * (__pyx_v_b[1]))) + ((__pyx_v_a[2]) * (__pyx_v_b[2])));
    goto __pyx_L0;
  
    /* "vec3_ops.pxd":9
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline cython.floating dot(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                                 const cython.floating[3] b) nogil:
   *     return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "vec3_ops.pxd":17
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline void cross(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                        const cython.floating[3] b,
   *                        cython.floating c[3]) nogil:
   */
  
  static CYTHON_INLINE void __pyx_fuse_0__pyx_f_2yt_9utilities_3lib_8vec3_ops_cross(float *__pyx_v_a, float *__pyx_v_b, float *__pyx_v_c) {
  
    /* "vec3_ops.pxd":20
   *                        const cython.floating[3] b,
   *                        cython.floating c[3]) nogil:
   *     c[0] = a[1]*b[2] - a[2]*b[1]             # <<<<<<<<<<<<<<
   *     c[1] = a[2]*b[0] - a[0]*b[2]
   *     c[2] = a[0]*b[1] - a[1]*b[0]
   */
    (__pyx_v_c[0]) = (((__pyx_v_a[1]) * (__pyx_v_b[2])) - ((__pyx_v_a[2]) * (__pyx_v_b[1])));
  
    /* "vec3_ops.pxd":21
   *                        cython.floating c[3]) nogil:
   *     c[0] = a[1]*b[2] - a[2]*b[1]
   *     c[1] = a[2]*b[0] - a[0]*b[2]             # <<<<<<<<<<<<<<
   *     c[2] = a[0]*b[1] - a[1]*b[0]
   * 
   */
    (__pyx_v_c[1]) = (((__pyx_v_a[2]) * (__pyx_v_b[0])) - ((__pyx_v_a[0]) * (__pyx_v_b[2])));
  
    /* "vec3_ops.pxd":22
   *     c[0] = a[1]*b[2] - a[2]*b[1]
   *     c[1] = a[2]*b[0] - a[0]*b[2]
   *     c[2] = a[0]*b[1] - a[1]*b[0]             # <<<<<<<<<<<<<<
   * 
   * 
   */
    (__pyx_v_c[2]) = (((__pyx_v_a[0]) * (__pyx_v_b[1])) - ((__pyx_v_a[1]) * (__pyx_v_b[0])));
  
    /* "vec3_ops.pxd":17
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline void cross(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                        const cython.floating[3] b,
   *                        cython.floating c[3]) nogil:
   */
  
    /* function exit code */
  }
  
  static CYTHON_INLINE void __pyx_fuse_1__pyx_f_2yt_9utilities_3lib_8vec3_ops_cross(double *__pyx_v_a, double *__pyx_v_b, double *__pyx_v_c) {
  
    /* "vec3_ops.pxd":20
   *                        const cython.floating[3] b,
   *                        cython.floating c[3]) nogil:
   *     c[0] = a[1]*b[2] - a[2]*b[1]             # <<<<<<<<<<<<<<
   *     c[1] = a[2]*b[0] - a[0]*b[2]
   *     c[2] = a[0]*b[1] - a[1]*b[0]
   */
    (__pyx_v_c[0]) = (((__pyx_v_a[1]) * (__pyx_v_b[2])) - ((__pyx_v_a[2]) * (__pyx_v_b[1])));
  
    /* "vec3_ops.pxd":21
   *                        cython.floating c[3]) nogil:
   *     c[0] = a[1]*b[2] - a[2]*b[1]
   *     c[1] = a[2]*b[0] - a[0]*b[2]             # <<<<<<<<<<<<<<
   *     c[2] = a[0]*b[1] - a[1]*b[0]
   * 
   */
    (__pyx_v_c[1]) = (((__pyx_v_a[2]) * (__pyx_v_b[0])) - ((__pyx_v_a[0]) * (__pyx_v_b[2])));
  
    /* "vec3_ops.pxd":22
   *     c[0] = a[1]*b[2] - a[2]*b[1]
   *     c[1] = a[2]*b[0] - a[0]*b[2]
   *     c[2] = a[0]*b[1] - a[1]*b[0]             # <<<<<<<<<<<<<<
   * 
   * 
   */
    (__pyx_v_c[2]) = (((__pyx_v_a[0]) * (__pyx_v_b[1])) - ((__pyx_v_a[1]) * (__pyx_v_b[0])));
  
    /* "vec3_ops.pxd":17
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline void cross(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                        const cython.floating[3] b,
   *                        cython.floating c[3]) nogil:
   */
  
    /* function exit code */
  }
  
  /* "vec3_ops.pxd":28
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline void subtract(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                           const cython.floating[3] b,
   *                           cython.floating c[3]) nogil:
   */
  
  static CYTHON_INLINE void __pyx_fuse_0__pyx_f_2yt_9utilities_3lib_8vec3_ops_subtract(float *__pyx_v_a, float *__pyx_v_b, float *__pyx_v_c) {
  
    /* "vec3_ops.pxd":31
   *                           const cython.floating[3] b,
   *                           cython.floating c[3]) nogil:
   *     c[0] = a[0] - b[0]             # <<<<<<<<<<<<<<
   *     c[1] = a[1] - b[1]
   *     c[2] = a[2] - b[2]
   */
    (__pyx_v_c[0]) = ((__pyx_v_a[0]) - (__pyx_v_b[0]));
  
    /* "vec3_ops.pxd":32
   *                           cython.floating c[3]) nogil:
   *     c[0] = a[0] - b[0]
   *     c[1] = a[1] - b[1]             # <<<<<<<<<<<<<<
   *     c[2] = a[2] - b[2]
   * 
   */
    (__pyx_v_c[1]) = ((__pyx_v_a[1]) - (__pyx_v_b[1]));
  
    /* "vec3_ops.pxd":33
   *     c[0] = a[0] - b[0]
   *     c[1] = a[1] - b[1]
   *     c[2] = a[2] - b[2]             # <<<<<<<<<<<<<<
   * 
   * 
   */
    (__pyx_v_c[2]) = ((__pyx_v_a[2]) - (__pyx_v_b[2]));
  
    /* "vec3_ops.pxd":28
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline void subtract(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                           const cython.floating[3] b,
   *                           cython.floating c[3]) nogil:
   */
  
    /* function exit code */
  }
  
  static CYTHON_INLINE void __pyx_fuse_1__pyx_f_2yt_9utilities_3lib_8vec3_ops_subtract(double *__pyx_v_a, double *__pyx_v_b, double *__pyx_v_c) {
  
    /* "vec3_ops.pxd":31
   *                           const cython.floating[3] b,
   *                           cython.floating c[3]) nogil:
   *     c[0] = a[0] - b[0]             # <<<<<<<<<<<<<<
   *     c[1] = a[1] - b[1]
   *     c[2] = a[2] - b[2]
   */
    (__pyx_v_c[0]) = ((__pyx_v_a[0]) - (__pyx_v_b[0]));
  
    /* "vec3_ops.pxd":32
   *                           cython.floating c[3]) nogil:
   *     c[0] = a[0] - b[0]
   *     c[1] = a[1] - b[1]             # <<<<<<<<<<<<<<
   *     c[2] = a[2] - b[2]
   * 
   */
    (__pyx_v_c[1]) = ((__pyx_v_a[1]) - (__pyx_v_b[1]));
  
    /* "vec3_ops.pxd":33
   *     c[0] = a[0] - b[0]
   *     c[1] = a[1] - b[1]
   *     c[2] = a[2] - b[2]             # <<<<<<<<<<<<<<
   * 
   * 
   */
    (__pyx_v_c[2]) = ((__pyx_v_a[2]) - (__pyx_v_b[2]));
  
    /* "vec3_ops.pxd":28
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline void subtract(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                           const cython.floating[3] b,
   *                           cython.floating c[3]) nogil:
   */
  
    /* function exit code */
  }
  
  /* "vec3_ops.pxd":39
   * @cython.wraparound(False)
   * @cython.cdivision(True)
   * cdef inline cython.floating distance(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                                      const cython.floating[3] b) nogil:
   *     return sqrt((a[0] - b[0])**2 + (a[1] - b[1])**2 +(a[2] - b[2])**2)
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   * cdef inline cython.floating distance(const cython.floating[3] a,
   *                                      const cython.floating[3] b) nogil:
   *     return sqrt((a[0] - b[0])**2 + (a[1] - b[1])**2 +(a[2] - b[2])**2)             # <<<<<<<<<<<<<<
   * 
   * 
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    /* "vec3_ops.pxd":39
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   * @cython.cdivision(True)
   * cdef inline cython.floating distance(const cython.floating[3] a,             # <<<<<<<<<<<<<<
   *                                      const cython.floating[3] b) nogil:
   *     return sqrt((a[0] - b[0])**2 + (a[1] - b[1])**2 +(a[2] - b[2])**2)
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    double __pyx_r;
  
    /* "vec3_ops.pxd":41
   * cdef inline cython.floating distance(const cython.floating[3] a,
   *                                      const cython.floating[3] b) nogil:
   *     return sqrt((a[0] - b[0])**2 + (a[1] - b[1])**2 +(a[2] - b[2])**2)             # <<<<<<<<<<<<<<
   * 
   * 
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    /* "vec3_ops.pxd":39
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    /* "vec3_ops.pxd":51
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    /* "vec3_ops.pxd":60
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    /* "vec3_ops.pxd":60
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   * cdef inline cython.floating L2_norm(const cython.floating[3] a) nogil:
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   *                 if   t == NPY_BYTE:        f = "b"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_UBYTE:       f = "B"
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   *                     raise ValueError(u"Non-native byte order not supported")
   *                 if   t == NPY_BYTE:        f = "b"
   *                 elif t == NPY_UBYTE:       f = "B"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_SHORT:       f = "h"
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   *                 if   t == NPY_BYTE:        f = "b"
   *                 elif t == NPY_UBYTE:       f = "B"
   *                 elif t == NPY_SHORT:       f = "h"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_UBYTE:       f = "B"
   *                 elif t == NPY_SHORT:       f = "h"
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   *                 elif t == NPY_INT:         f = "i"
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   *                 elif t == NPY_SHORT:       f = "h"
   *                 elif t == NPY_USHORT:      f = "H"
   *                 elif t == NPY_INT:         f = "i"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_USHORT:      f = "H"
   *                 elif t == NPY_INT:         f = "i"
   *                 elif t == NPY_UINT:        f = "I"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_INT:         f = "i"
   *                 elif t == NPY_UINT:        f = "I"
   *                 elif t == NPY_LONG:        f = "l"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_UINT:        f = "I"
   *                 elif t == NPY_LONG:        f = "l"
   *                 elif t == NPY_ULONG:       f = "L"             # <<<<<<<<<<<<<<
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        /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":268
   *                 elif t == NPY_LONG:        f = "l"
   *                 elif t == NPY_ULONG:       f = "L"
   *                 elif t == NPY_LONGLONG:    f = "q"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_ULONGLONG:   f = "Q"
   *                 elif t == NPY_FLOAT:       f = "f"
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        /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":269
   *                 elif t == NPY_ULONG:       f = "L"
   *                 elif t == NPY_LONGLONG:    f = "q"
   *                 elif t == NPY_ULONGLONG:   f = "Q"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_FLOAT:       f = "f"
   *                 elif t == NPY_DOUBLE:      f = "d"
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        /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":270
   *                 elif t == NPY_LONGLONG:    f = "q"
   *                 elif t == NPY_ULONGLONG:   f = "Q"
   *                 elif t == NPY_FLOAT:       f = "f"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_DOUBLE:      f = "d"
   *                 elif t == NPY_LONGDOUBLE:  f = "g"
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        /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":271
   *                 elif t == NPY_ULONGLONG:   f = "Q"
   *                 elif t == NPY_FLOAT:       f = "f"
   *                 elif t == NPY_DOUBLE:      f = "d"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_FLOAT:       f = "f"
   *                 elif t == NPY_DOUBLE:      f = "d"
   *                 elif t == NPY_LONGDOUBLE:  f = "g"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_CFLOAT:      f = "Zf"
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        /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":273
   *                 elif t == NPY_DOUBLE:      f = "d"
   *                 elif t == NPY_LONGDOUBLE:  f = "g"
   *                 elif t == NPY_CFLOAT:      f = "Zf"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
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        /* "../anaconda2/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":274
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   *                 elif t == NPY_CFLOAT:      f = "Zf"
   *                 elif t == NPY_CDOUBLE:     f = "Zd"             # <<<<<<<<<<<<<<
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   *                 elif t == NPY_OBJECT:      f = "O"
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   *                 elif t == NPY_CDOUBLE:     f = "Zd"
   *                 elif t == NPY_CLONGDOUBLE: f = "Zg"             # <<<<<<<<<<<<<<
   *                 elif t == NPY_OBJECT:      f = "O"
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      if (!py_srcfile) goto bad;
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          #else
          py_funcname = PyUnicode_FromString(funcname);
          #endif
      }
      if (!py_funcname) goto bad;
      py_code = __Pyx_PyCode_New(
          0,
          0,
          0,
          0,
          0,
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      py_code = __pyx_find_code_object(c_line ? c_line : py_line);
      if (!py_code) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
      }
      py_frame = PyFrame_New(
          PyThreadState_GET(), /*PyThreadState *tstate,*/
          py_code,             /*PyCodeObject *code,*/
          __pyx_d,      /*PyObject *globals,*/
          0                    /*PyObject *locals*/
      );
      if (!py_frame) goto bad;
      py_frame->f_lineno = py_line;
      PyTraceBack_Here(py_frame);
  bad:
      Py_XDECREF(py_code);
      Py_XDECREF(py_frame);
  }
  
  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
  #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
  #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
      {\
          func_type value = func_value;\
          if (sizeof(target_type) < sizeof(func_type)) {\
              if (unlikely(value != (func_type) (target_type) value)) {\
                  func_type zero = 0;\
                  if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                      return (target_type) -1;\
                  if (is_unsigned && unlikely(value < zero))\
                      goto raise_neg_overflow;\
                  else\
                      goto raise_overflow;\
              }\
          }\
          return (target_type) value;\
      }
  
  #if CYTHON_USE_PYLONG_INTERNALS
    #include "longintrepr.h"
  #endif
  
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
      const int neg_one = (int) -1, const_zero = (int) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(int) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                              return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                              return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                              return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (int) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(int) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
              } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) digits[0])
                  case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(int) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
              } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int val;
              PyObject *v = __Pyx_PyNumber_Int(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int) -1;
          }
      } else {
          int val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyInt_As_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
      const int neg_one = (int) -1, const_zero = (int) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
          }
      } else {
          if (sizeof(int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int),
                                       little, !is_unsigned);
      }
  }
  
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return ::std::complex< float >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return x + y*(__pyx_t_float_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        __pyx_t_float_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
  #if CYTHON_CCOMPLEX
  #else
      static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          float denom = b.real * b.real + b.imag * b.imag;
          z.real = (a.real * b.real + a.imag * b.imag) / denom;
          z.imag = (a.imag * b.real - a.real * b.imag) / denom;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrtf(z.real*z.real + z.imag*z.imag);
            #else
              return hypotf(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
              __pyx_t_float_complex z;
              float r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      float denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          z = __Pyx_c_prodf(a, a);
                          return __Pyx_c_prodf(a, a);
                      case 3:
                          z = __Pyx_c_prodf(a, a);
                          return __Pyx_c_prodf(z, a);
                      case 4:
                          z = __Pyx_c_prodf(a, a);
                          return __Pyx_c_prodf(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  }
                  r = a.real;
                  theta = 0;
              } else {
                  r = __Pyx_c_absf(a);
                  theta = atan2f(a.imag, a.real);
              }
              lnr = logf(r);
              z_r = expf(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cosf(z_theta);
              z.imag = z_r * sinf(z_theta);
              return z;
          }
      #endif
  #endif
  
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return ::std::complex< double >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return x + y*(__pyx_t_double_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        __pyx_t_double_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
  #if CYTHON_CCOMPLEX
  #else
      static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          double denom = b.real * b.real + b.imag * b.imag;
          z.real = (a.real * b.real + a.imag * b.imag) / denom;
          z.imag = (a.imag * b.real - a.real * b.imag) / denom;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrt(z.real*z.real + z.imag*z.imag);
            #else
              return hypot(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
              __pyx_t_double_complex z;
              double r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      double denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          z = __Pyx_c_prod(a, a);
                          return __Pyx_c_prod(a, a);
                      case 3:
                          z = __Pyx_c_prod(a, a);
                          return __Pyx_c_prod(z, a);
                      case 4:
                          z = __Pyx_c_prod(a, a);
                          return __Pyx_c_prod(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  }
                  r = a.real;
                  theta = 0;
              } else {
                  r = __Pyx_c_abs(a);
                  theta = atan2(a.imag, a.real);
              }
              lnr = log(r);
              z_r = exp(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cos(z_theta);
              z.imag = z_r * sin(z_theta);
              return z;
          }
      #endif
  #endif
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
      const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(enum NPY_TYPES) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
          }
      } else {
          if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                       little, !is_unsigned);
      }
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
      const long neg_one = (long) -1, const_zero = (long) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(long) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
          }
      } else {
          if (sizeof(long) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
      }
  }
  
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
      const long neg_one = (long) -1, const_zero = (long) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(long) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (long) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                              return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                              return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                              return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (long) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(long) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
              } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) digits[0])
                  case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(long) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
              } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              long val;
              PyObject *v = __Pyx_PyNumber_Int(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (long) -1;
          }
      } else {
          long val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyInt_As_long(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to long");
      return (long) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to long");
      return (long) -1;
  }
  
  static int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          return PyErr_WarnEx(NULL, message, 1);
      }
      return 0;
  }
  
  static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
      PyObject *d = 0;
      PyObject *cobj = 0;
      union {
          void (*fp)(void);
          void *p;
      } tmp;
      d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
      if (!d) {
          PyErr_Clear();
          d = PyDict_New();
          if (!d)
              goto bad;
          Py_INCREF(d);
          if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
              goto bad;
      }
      tmp.fp = f;
  #if PY_VERSION_HEX >= 0x02070000
      cobj = PyCapsule_New(tmp.p, sig, 0);
  #else
      cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
  #endif
      if (!cobj)
          goto bad;
      if (PyDict_SetItemString(d, name, cobj) < 0)
          goto bad;
      Py_DECREF(cobj);
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(cobj);
      Py_XDECREF(d);
      return -1;
  }
  
  #ifndef __PYX_HAVE_RT_ImportModule
  #define __PYX_HAVE_RT_ImportModule
  static PyObject *__Pyx_ImportModule(const char *name) {
      PyObject *py_name = 0;
      PyObject *py_module = 0;
      py_name = __Pyx_PyIdentifier_FromString(name);
      if (!py_name)
          goto bad;
      py_module = PyImport_Import(py_name);
      Py_DECREF(py_name);
      return py_module;
  bad:
      Py_XDECREF(py_name);
      return 0;
  }
  #endif
  
  #ifndef __PYX_HAVE_RT_ImportType
  #define __PYX_HAVE_RT_ImportType
  static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
      size_t size, int strict)
  {
      PyObject *py_module = 0;
      PyObject *result = 0;
      PyObject *py_name = 0;
      char warning[200];
      Py_ssize_t basicsize;
  #ifdef Py_LIMITED_API
      PyObject *py_basicsize;
  #endif
      py_module = __Pyx_ImportModule(module_name);
      if (!py_module)
          goto bad;
      py_name = __Pyx_PyIdentifier_FromString(class_name);
      if (!py_name)
          goto bad;
      result = PyObject_GetAttr(py_module, py_name);
      Py_DECREF(py_name);
      py_name = 0;
      Py_DECREF(py_module);
      py_module = 0;
      if (!result)
          goto bad;
      if (!PyType_Check(result)) {
          PyErr_Format(PyExc_TypeError,
              "%.200s.%.200s is not a type object",
              module_name, class_name);
          goto bad;
      }
  #ifndef Py_LIMITED_API
      basicsize = ((PyTypeObject *)result)->tp_basicsize;
  #else
      py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
      if (!py_basicsize)
          goto bad;
      basicsize = PyLong_AsSsize_t(py_basicsize);
      Py_DECREF(py_basicsize);
      py_basicsize = 0;
      if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
          goto bad;
  #endif
      if (!strict && (size_t)basicsize > size) {
          PyOS_snprintf(warning, sizeof(warning),
              "%s.%s size changed, may indicate binary incompatibility",
              module_name, class_name);
          if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
      }
      else if ((size_t)basicsize != size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s has the wrong size, try recompiling",
              module_name, class_name);
          goto bad;
      }
      return (PyTypeObject *)result;
  bad:
      Py_XDECREF(py_module);
      Py_XDECREF(result);
      return NULL;
  }
  #endif
  
  #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;
      d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
      if (!d)
          goto bad;
      cobj = PyDict_GetItemString(d, funcname);
      if (!cobj) {
          PyErr_Format(PyExc_ImportError,
              "%.200s does not export expected C function %.200s",
                  PyModule_GetName(module), funcname);
          goto bad;
      }
  #if PY_VERSION_HEX >= 0x02070000
      if (!PyCapsule_IsValid(cobj, sig)) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
          goto bad;
      }
      tmp.p = PyCapsule_GetPointer(cobj, sig);
  #else
      {const char *desc, *s1, *s2;
      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 %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, desc);
          goto bad;
      }
      tmp.p = PyCObject_AsVoidPtr(cobj);}
  #endif
      *f = tmp.fp;
      if (!(*f))
          goto bad;
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(d);
      return -1;
  }
  #endif
  
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          ++t;
      }
      return 0;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
      return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
  }
  static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
      Py_ssize_t ignore;
      return __Pyx_PyObject_AsStringAndSize(o, &ignore);
  }
  static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
  #if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
      if (
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
              __Pyx_sys_getdefaultencoding_not_ascii &&
  #endif
              PyUnicode_Check(o)) {
  #if PY_VERSION_HEX < 0x03030000
          char* defenc_c;
          PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
          if (!defenc) return NULL;
          defenc_c = PyBytes_AS_STRING(defenc);
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
          {
              char* end = defenc_c + PyBytes_GET_SIZE(defenc);
              char* c;
              for (c = defenc_c; c < end; c++) {
                  if ((unsigned char) (*c) >= 128) {
                      PyUnicode_AsASCIIString(o);
                      return NULL;
                  }
              }
          }
  #endif
          *length = PyBytes_GET_SIZE(defenc);
          return defenc_c;
  #else
          if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
          if (PyUnicode_IS_ASCII(o)) {
              *length = PyUnicode_GET_LENGTH(o);
              return PyUnicode_AsUTF8(o);
          } else {
              PyUnicode_AsASCIIString(o);
              return NULL;
          }
  #else
          return PyUnicode_AsUTF8AndSize(o, length);
  #endif
  #endif
      } else
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
      if (PyByteArray_Check(o)) {
          *length = PyByteArray_GET_SIZE(o);
          return PyByteArray_AS_STRING(o);
      } else
  #endif
      {
          char* result;
          int r = PyBytes_AsStringAndSize(o, &result, length);
          if (unlikely(r < 0)) {
              return NULL;
          } else {
              return result;
          }
      }
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
     int is_true = x == Py_True;
     if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
     else return PyObject_IsTrue(x);
  }
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
    PyNumberMethods *m;
    const char *name = NULL;
    PyObject *res = NULL;
  #if PY_MAJOR_VERSION < 3
    if (PyInt_Check(x) || PyLong_Check(x))
  #else
    if (PyLong_Check(x))
  #endif
      return __Pyx_NewRef(x);
    m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
    if (m && m->nb_int) {
      name = "int";
      res = PyNumber_Int(x);
    }
    else if (m && m->nb_long) {
      name = "long";
      res = PyNumber_Long(x);
    }
  #else
    if (m && m->nb_int) {
      name = "int";
      res = PyNumber_Long(x);
    }
  #endif
    if (res) {
  #if PY_MAJOR_VERSION < 3
      if (!PyInt_Check(res) && !PyLong_Check(res)) {
  #else
      if (!PyLong_Check(res)) {
  #endif
        PyErr_Format(PyExc_TypeError,
                     "__%.4s__ returned non-%.4s (type %.200s)",
                     name, name, Py_TYPE(res)->tp_name);
        Py_DECREF(res);
        return NULL;
      }
    }
    else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
    }
    return res;
  }
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
    Py_ssize_t ival;
    PyObject *x;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(b))) {
      if (sizeof(Py_ssize_t) >= sizeof(long))
          return PyInt_AS_LONG(b);
      else
          return PyInt_AsSsize_t(x);
    }
  #endif
    if (likely(PyLong_CheckExact(b))) {
      #if CYTHON_USE_PYLONG_INTERNALS
      const digit* digits = ((PyLongObject*)b)->ob_digit;
      const Py_ssize_t size = Py_SIZE(b);
      if (likely(__Pyx_sst_abs(size) <= 1)) {
          ival = likely(size) ? digits[0] : 0;
          if (size == -1) ival = -ival;
          return ival;
      } else {
        switch (size) {
           case 2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
        }
      }
      #endif
      return PyLong_AsSsize_t(b);
    }
    x = PyNumber_Index(b);
    if (!x) return -1;
    ival = PyInt_AsSsize_t(x);
    Py_DECREF(x);
    return ival;
  }
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
      return PyInt_FromSize_t(ival);
  }
  
  
  #endif /* Py_PYTHON_H */
  