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/* Module declarations from 'yt.utilities.lib.autogenerated_element_samplers' */
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/* Late includes */

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":14
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Function3D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Q1Function3D(double *__pyx_v_fx, double *__pyx_v_x, double *__pyx_v_vertices, double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":18
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	fx[0] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[21] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[18] - phys_x[0];             # <<<<<<<<<<<<<<
 * 	fx[1] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[22] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[19] - phys_x[1];
 * 	fx[2] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[23] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[8] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[20] - phys_x[2];
 */
  (__pyx_v_fx[0]) = ((((((((((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[0])) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[12]))) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[9]))) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[21]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[3]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[15]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[6]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[18]))) - (__pyx_v_phys_x[0]));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":19
 *                        double* phys_x) nogil:
 * 	fx[0] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[21] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[18] - phys_x[0];
 * 	fx[1] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[22] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[19] - phys_x[1];             # <<<<<<<<<<<<<<
 * 	fx[2] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[23] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[8] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[20] - phys_x[2];
 * 
 */
  (__pyx_v_fx[1]) = ((((((((((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[1])) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[13]))) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[10]))) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[22]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[4]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[16]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[7]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[19]))) - (__pyx_v_phys_x[1]));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":20
 * 	fx[0] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[21] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[18] - phys_x[0];
 * 	fx[1] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[22] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[19] - phys_x[1];
 * 	fx[2] = 0.125*(1 - x[0])*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 - x[0])*(1 + x[1])*(1 + x[2])*vertices[23] + 0.125*(1 + x[0])*(1 - x[1])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[1])*(1 - x[2])*vertices[8] + 0.125*(1 + x[0])*(1 + x[1])*(1 + x[2])*vertices[20] - phys_x[2];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_fx[2]) = ((((((((((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[2])) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[14]))) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[11]))) + ((((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[23]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[5]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[17]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[8]))) + ((((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[20]))) - (__pyx_v_phys_x[2]));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":14
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Function3D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":26
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Jacobian3D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* tcol,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Q1Jacobian3D(double *__pyx_v_rcol, double *__pyx_v_scol, double *__pyx_v_tcol, double *__pyx_v_x, double *__pyx_v_vertices, CYTHON_UNUSED double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":32
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.125*(1 - x[1])*(1 - x[2])*vertices[0] + 0.125*(1 - x[1])*(1 - x[2])*vertices[3] - 0.125*(1 - x[1])*(1 + x[2])*vertices[12] + 0.125*(1 - x[1])*(1 + x[2])*vertices[15] + 0.125*(1 + x[1])*(1 - x[2])*vertices[6] - 0.125*(1 + x[1])*(1 - x[2])*vertices[9] + 0.125*(1 + x[1])*(1 + x[2])*vertices[18] - 0.125*(1 + x[1])*(1 + x[2])*vertices[21];             # <<<<<<<<<<<<<<
 * 	scol[0] = -0.125*(1 - x[0])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[2])*vertices[9] - 0.125*(1 - x[0])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[2])*vertices[21] - 0.125*(1 + x[0])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[2])*vertices[6] - 0.125*(1 + x[0])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[2])*vertices[18];
 * 	tcol[0] = -0.125*(1 - x[0])*(1 - x[1])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*vertices[12] - 0.125*(1 - x[0])*(1 + x[1])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*vertices[21] - 0.125*(1 + x[0])*(1 - x[1])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*vertices[15] - 0.125*(1 + x[0])*(1 + x[1])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*vertices[18];
 */
  (__pyx_v_rcol[0]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[0])) + (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[3]))) - (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[12]))) + (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[15]))) + (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[6]))) - (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[9]))) + (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[18]))) - (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[21])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":33
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.125*(1 - x[1])*(1 - x[2])*vertices[0] + 0.125*(1 - x[1])*(1 - x[2])*vertices[3] - 0.125*(1 - x[1])*(1 + x[2])*vertices[12] + 0.125*(1 - x[1])*(1 + x[2])*vertices[15] + 0.125*(1 + x[1])*(1 - x[2])*vertices[6] - 0.125*(1 + x[1])*(1 - x[2])*vertices[9] + 0.125*(1 + x[1])*(1 + x[2])*vertices[18] - 0.125*(1 + x[1])*(1 + x[2])*vertices[21];
 * 	scol[0] = -0.125*(1 - x[0])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[2])*vertices[9] - 0.125*(1 - x[0])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[2])*vertices[21] - 0.125*(1 + x[0])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[2])*vertices[6] - 0.125*(1 + x[0])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[2])*vertices[18];             # <<<<<<<<<<<<<<
 * 	tcol[0] = -0.125*(1 - x[0])*(1 - x[1])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*vertices[12] - 0.125*(1 - x[0])*(1 + x[1])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*vertices[21] - 0.125*(1 + x[0])*(1 - x[1])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*vertices[15] - 0.125*(1 + x[0])*(1 + x[1])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*vertices[18];
 * 	rcol[1] = -0.125*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[1])*(1 - x[2])*vertices[4] - 0.125*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[1])*(1 - x[2])*vertices[7] - 0.125*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 + x[1])*(1 + x[2])*vertices[19] - 0.125*(1 + x[1])*(1 + x[2])*vertices[22];
 */
  (__pyx_v_scol[0]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[0])) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[9]))) - (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[12]))) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[21]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[3]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[6]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[15]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[18])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":34
 * 	rcol[0] = -0.125*(1 - x[1])*(1 - x[2])*vertices[0] + 0.125*(1 - x[1])*(1 - x[2])*vertices[3] - 0.125*(1 - x[1])*(1 + x[2])*vertices[12] + 0.125*(1 - x[1])*(1 + x[2])*vertices[15] + 0.125*(1 + x[1])*(1 - x[2])*vertices[6] - 0.125*(1 + x[1])*(1 - x[2])*vertices[9] + 0.125*(1 + x[1])*(1 + x[2])*vertices[18] - 0.125*(1 + x[1])*(1 + x[2])*vertices[21];
 * 	scol[0] = -0.125*(1 - x[0])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[2])*vertices[9] - 0.125*(1 - x[0])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[2])*vertices[21] - 0.125*(1 + x[0])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[2])*vertices[6] - 0.125*(1 + x[0])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[2])*vertices[18];
 * 	tcol[0] = -0.125*(1 - x[0])*(1 - x[1])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*vertices[12] - 0.125*(1 - x[0])*(1 + x[1])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*vertices[21] - 0.125*(1 + x[0])*(1 - x[1])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*vertices[15] - 0.125*(1 + x[0])*(1 + x[1])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*vertices[18];             # <<<<<<<<<<<<<<
 * 	rcol[1] = -0.125*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[1])*(1 - x[2])*vertices[4] - 0.125*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[1])*(1 - x[2])*vertices[7] - 0.125*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 + x[1])*(1 + x[2])*vertices[19] - 0.125*(1 + x[1])*(1 + x[2])*vertices[22];
 * 	scol[1] = -0.125*(1 - x[0])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[2])*vertices[10] - 0.125*(1 - x[0])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[2])*vertices[22] - 0.125*(1 + x[0])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[2])*vertices[7] - 0.125*(1 + x[0])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[2])*vertices[19];
 */
  (__pyx_v_tcol[0]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[0])) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[12]))) - (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[9]))) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[21]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[3]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[15]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[6]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[18])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":35
 * 	scol[0] = -0.125*(1 - x[0])*(1 - x[2])*vertices[0] + 0.125*(1 - x[0])*(1 - x[2])*vertices[9] - 0.125*(1 - x[0])*(1 + x[2])*vertices[12] + 0.125*(1 - x[0])*(1 + x[2])*vertices[21] - 0.125*(1 + x[0])*(1 - x[2])*vertices[3] + 0.125*(1 + x[0])*(1 - x[2])*vertices[6] - 0.125*(1 + x[0])*(1 + x[2])*vertices[15] + 0.125*(1 + x[0])*(1 + x[2])*vertices[18];
 * 	tcol[0] = -0.125*(1 - x[0])*(1 - x[1])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*vertices[12] - 0.125*(1 - x[0])*(1 + x[1])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*vertices[21] - 0.125*(1 + x[0])*(1 - x[1])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*vertices[15] - 0.125*(1 + x[0])*(1 + x[1])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*vertices[18];
 * 	rcol[1] = -0.125*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[1])*(1 - x[2])*vertices[4] - 0.125*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[1])*(1 - x[2])*vertices[7] - 0.125*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 + x[1])*(1 + x[2])*vertices[19] - 0.125*(1 + x[1])*(1 + x[2])*vertices[22];             # <<<<<<<<<<<<<<
 * 	scol[1] = -0.125*(1 - x[0])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[2])*vertices[10] - 0.125*(1 - x[0])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[2])*vertices[22] - 0.125*(1 + x[0])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[2])*vertices[7] - 0.125*(1 + x[0])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[2])*vertices[19];
 * 	tcol[1] = -0.125*(1 - x[0])*(1 - x[1])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*vertices[13] - 0.125*(1 - x[0])*(1 + x[1])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*vertices[22] - 0.125*(1 + x[0])*(1 - x[1])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*vertices[16] - 0.125*(1 + x[0])*(1 + x[1])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*vertices[19];
 */
  (__pyx_v_rcol[1]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[1])) + (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[4]))) - (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[13]))) + (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[16]))) + (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[7]))) - (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[10]))) + (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[19]))) - (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[22])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":36
 * 	tcol[0] = -0.125*(1 - x[0])*(1 - x[1])*vertices[0] + 0.125*(1 - x[0])*(1 - x[1])*vertices[12] - 0.125*(1 - x[0])*(1 + x[1])*vertices[9] + 0.125*(1 - x[0])*(1 + x[1])*vertices[21] - 0.125*(1 + x[0])*(1 - x[1])*vertices[3] + 0.125*(1 + x[0])*(1 - x[1])*vertices[15] - 0.125*(1 + x[0])*(1 + x[1])*vertices[6] + 0.125*(1 + x[0])*(1 + x[1])*vertices[18];
 * 	rcol[1] = -0.125*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[1])*(1 - x[2])*vertices[4] - 0.125*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[1])*(1 - x[2])*vertices[7] - 0.125*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 + x[1])*(1 + x[2])*vertices[19] - 0.125*(1 + x[1])*(1 + x[2])*vertices[22];
 * 	scol[1] = -0.125*(1 - x[0])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[2])*vertices[10] - 0.125*(1 - x[0])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[2])*vertices[22] - 0.125*(1 + x[0])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[2])*vertices[7] - 0.125*(1 + x[0])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[2])*vertices[19];             # <<<<<<<<<<<<<<
 * 	tcol[1] = -0.125*(1 - x[0])*(1 - x[1])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*vertices[13] - 0.125*(1 - x[0])*(1 + x[1])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*vertices[22] - 0.125*(1 + x[0])*(1 - x[1])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*vertices[16] - 0.125*(1 + x[0])*(1 + x[1])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*vertices[19];
 * 	rcol[2] = -0.125*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[1])*(1 - x[2])*vertices[5] - 0.125*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[1])*(1 - x[2])*vertices[8] - 0.125*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 + x[1])*(1 + x[2])*vertices[20] - 0.125*(1 + x[1])*(1 + x[2])*vertices[23];
 */
  (__pyx_v_scol[1]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[1])) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[10]))) - (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[13]))) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[22]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[4]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[7]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[16]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[19])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":37
 * 	rcol[1] = -0.125*(1 - x[1])*(1 - x[2])*vertices[1] + 0.125*(1 - x[1])*(1 - x[2])*vertices[4] - 0.125*(1 - x[1])*(1 + x[2])*vertices[13] + 0.125*(1 - x[1])*(1 + x[2])*vertices[16] + 0.125*(1 + x[1])*(1 - x[2])*vertices[7] - 0.125*(1 + x[1])*(1 - x[2])*vertices[10] + 0.125*(1 + x[1])*(1 + x[2])*vertices[19] - 0.125*(1 + x[1])*(1 + x[2])*vertices[22];
 * 	scol[1] = -0.125*(1 - x[0])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[2])*vertices[10] - 0.125*(1 - x[0])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[2])*vertices[22] - 0.125*(1 + x[0])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[2])*vertices[7] - 0.125*(1 + x[0])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[2])*vertices[19];
 * 	tcol[1] = -0.125*(1 - x[0])*(1 - x[1])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*vertices[13] - 0.125*(1 - x[0])*(1 + x[1])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*vertices[22] - 0.125*(1 + x[0])*(1 - x[1])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*vertices[16] - 0.125*(1 + x[0])*(1 + x[1])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*vertices[19];             # <<<<<<<<<<<<<<
 * 	rcol[2] = -0.125*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[1])*(1 - x[2])*vertices[5] - 0.125*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[1])*(1 - x[2])*vertices[8] - 0.125*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 + x[1])*(1 + x[2])*vertices[20] - 0.125*(1 + x[1])*(1 + x[2])*vertices[23];
 * 	scol[2] = -0.125*(1 - x[0])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[2])*vertices[11] - 0.125*(1 - x[0])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[2])*vertices[23] - 0.125*(1 + x[0])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[2])*vertices[8] - 0.125*(1 + x[0])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[2])*vertices[20];
 */
  (__pyx_v_tcol[1]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[1])) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[13]))) - (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[10]))) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[22]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[4]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[16]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[7]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[19])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":38
 * 	scol[1] = -0.125*(1 - x[0])*(1 - x[2])*vertices[1] + 0.125*(1 - x[0])*(1 - x[2])*vertices[10] - 0.125*(1 - x[0])*(1 + x[2])*vertices[13] + 0.125*(1 - x[0])*(1 + x[2])*vertices[22] - 0.125*(1 + x[0])*(1 - x[2])*vertices[4] + 0.125*(1 + x[0])*(1 - x[2])*vertices[7] - 0.125*(1 + x[0])*(1 + x[2])*vertices[16] + 0.125*(1 + x[0])*(1 + x[2])*vertices[19];
 * 	tcol[1] = -0.125*(1 - x[0])*(1 - x[1])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*vertices[13] - 0.125*(1 - x[0])*(1 + x[1])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*vertices[22] - 0.125*(1 + x[0])*(1 - x[1])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*vertices[16] - 0.125*(1 + x[0])*(1 + x[1])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*vertices[19];
 * 	rcol[2] = -0.125*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[1])*(1 - x[2])*vertices[5] - 0.125*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[1])*(1 - x[2])*vertices[8] - 0.125*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 + x[1])*(1 + x[2])*vertices[20] - 0.125*(1 + x[1])*(1 + x[2])*vertices[23];             # <<<<<<<<<<<<<<
 * 	scol[2] = -0.125*(1 - x[0])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[2])*vertices[11] - 0.125*(1 - x[0])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[2])*vertices[23] - 0.125*(1 + x[0])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[2])*vertices[8] - 0.125*(1 + x[0])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[2])*vertices[20];
 * 	tcol[2] = -0.125*(1 - x[0])*(1 - x[1])*vertices[2] + 0.125*(1 - x[0])*(1 - x[1])*vertices[14] - 0.125*(1 - x[0])*(1 + x[1])*vertices[11] + 0.125*(1 - x[0])*(1 + x[1])*vertices[23] - 0.125*(1 + x[0])*(1 - x[1])*vertices[5] + 0.125*(1 + x[0])*(1 - x[1])*vertices[17] - 0.125*(1 + x[0])*(1 + x[1])*vertices[8] + 0.125*(1 + x[0])*(1 + x[1])*vertices[20];
 */
  (__pyx_v_rcol[2]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[2])) + (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[5]))) - (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[14]))) + (((0.125 * (1.0 - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[17]))) + (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[8]))) - (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[11]))) + (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[20]))) - (((0.125 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[23])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":39
 * 	tcol[1] = -0.125*(1 - x[0])*(1 - x[1])*vertices[1] + 0.125*(1 - x[0])*(1 - x[1])*vertices[13] - 0.125*(1 - x[0])*(1 + x[1])*vertices[10] + 0.125*(1 - x[0])*(1 + x[1])*vertices[22] - 0.125*(1 + x[0])*(1 - x[1])*vertices[4] + 0.125*(1 + x[0])*(1 - x[1])*vertices[16] - 0.125*(1 + x[0])*(1 + x[1])*vertices[7] + 0.125*(1 + x[0])*(1 + x[1])*vertices[19];
 * 	rcol[2] = -0.125*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[1])*(1 - x[2])*vertices[5] - 0.125*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[1])*(1 - x[2])*vertices[8] - 0.125*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 + x[1])*(1 + x[2])*vertices[20] - 0.125*(1 + x[1])*(1 + x[2])*vertices[23];
 * 	scol[2] = -0.125*(1 - x[0])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[2])*vertices[11] - 0.125*(1 - x[0])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[2])*vertices[23] - 0.125*(1 + x[0])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[2])*vertices[8] - 0.125*(1 + x[0])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[2])*vertices[20];             # <<<<<<<<<<<<<<
 * 	tcol[2] = -0.125*(1 - x[0])*(1 - x[1])*vertices[2] + 0.125*(1 - x[0])*(1 - x[1])*vertices[14] - 0.125*(1 - x[0])*(1 + x[1])*vertices[11] + 0.125*(1 - x[0])*(1 + x[1])*vertices[23] - 0.125*(1 + x[0])*(1 - x[1])*vertices[5] + 0.125*(1 + x[0])*(1 - x[1])*vertices[17] - 0.125*(1 + x[0])*(1 + x[1])*vertices[8] + 0.125*(1 + x[0])*(1 + x[1])*vertices[20];
 * 
 */
  (__pyx_v_scol[2]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[2])) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[11]))) - (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[14]))) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[23]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[5]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[8]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[17]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[20])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":40
 * 	rcol[2] = -0.125*(1 - x[1])*(1 - x[2])*vertices[2] + 0.125*(1 - x[1])*(1 - x[2])*vertices[5] - 0.125*(1 - x[1])*(1 + x[2])*vertices[14] + 0.125*(1 - x[1])*(1 + x[2])*vertices[17] + 0.125*(1 + x[1])*(1 - x[2])*vertices[8] - 0.125*(1 + x[1])*(1 - x[2])*vertices[11] + 0.125*(1 + x[1])*(1 + x[2])*vertices[20] - 0.125*(1 + x[1])*(1 + x[2])*vertices[23];
 * 	scol[2] = -0.125*(1 - x[0])*(1 - x[2])*vertices[2] + 0.125*(1 - x[0])*(1 - x[2])*vertices[11] - 0.125*(1 - x[0])*(1 + x[2])*vertices[14] + 0.125*(1 - x[0])*(1 + x[2])*vertices[23] - 0.125*(1 + x[0])*(1 - x[2])*vertices[5] + 0.125*(1 + x[0])*(1 - x[2])*vertices[8] - 0.125*(1 + x[0])*(1 + x[2])*vertices[17] + 0.125*(1 + x[0])*(1 + x[2])*vertices[20];
 * 	tcol[2] = -0.125*(1 - x[0])*(1 - x[1])*vertices[2] + 0.125*(1 - x[0])*(1 - x[1])*vertices[14] - 0.125*(1 - x[0])*(1 + x[1])*vertices[11] + 0.125*(1 - x[0])*(1 + x[1])*vertices[23] - 0.125*(1 + x[0])*(1 - x[1])*vertices[5] + 0.125*(1 + x[0])*(1 - x[1])*vertices[17] - 0.125*(1 + x[0])*(1 + x[1])*vertices[8] + 0.125*(1 + x[0])*(1 + x[1])*vertices[20];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_tcol[2]) = ((((((((((-0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[2])) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[14]))) - (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[11]))) + (((0.125 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[23]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[5]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[17]))) - (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[8]))) + (((0.125 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[20])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":26
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Jacobian3D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* tcol,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":46
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Function2D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Q1Function2D(double *__pyx_v_fx, double *__pyx_v_x, double *__pyx_v_vertices, double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":50
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	fx[0] = 0.25*(1 - x[0])*(1 - x[1])*vertices[0] + 0.25*(1 - x[0])*(1 + x[1])*vertices[6] + 0.25*(1 + x[0])*(1 - x[1])*vertices[2] + 0.25*(1 + x[0])*(1 + x[1])*vertices[4] - phys_x[0];             # <<<<<<<<<<<<<<
 * 	fx[1] = 0.25*(1 - x[0])*(1 - x[1])*vertices[1] + 0.25*(1 - x[0])*(1 + x[1])*vertices[7] + 0.25*(1 + x[0])*(1 - x[1])*vertices[3] + 0.25*(1 + x[0])*(1 + x[1])*vertices[5] - phys_x[1];
 * 
 */
  (__pyx_v_fx[0]) = (((((((0.25 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[0])) + (((0.25 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[6]))) + (((0.25 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[2]))) + (((0.25 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[4]))) - (__pyx_v_phys_x[0]));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":51
 *                        double* phys_x) nogil:
 * 	fx[0] = 0.25*(1 - x[0])*(1 - x[1])*vertices[0] + 0.25*(1 - x[0])*(1 + x[1])*vertices[6] + 0.25*(1 + x[0])*(1 - x[1])*vertices[2] + 0.25*(1 + x[0])*(1 + x[1])*vertices[4] - phys_x[0];
 * 	fx[1] = 0.25*(1 - x[0])*(1 - x[1])*vertices[1] + 0.25*(1 - x[0])*(1 + x[1])*vertices[7] + 0.25*(1 + x[0])*(1 - x[1])*vertices[3] + 0.25*(1 + x[0])*(1 + x[1])*vertices[5] - phys_x[1];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_fx[1]) = (((((((0.25 * (1.0 - (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[1])) + (((0.25 * (1.0 - (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[7]))) + (((0.25 * (1.0 + (__pyx_v_x[0]))) * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[3]))) + (((0.25 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[5]))) - (__pyx_v_phys_x[1]));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":46
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Function2D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":57
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Jacobian2D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* x,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Q1Jacobian2D(double *__pyx_v_rcol, double *__pyx_v_scol, double *__pyx_v_x, double *__pyx_v_vertices, CYTHON_UNUSED double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":62
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.25*(1 - x[1])*vertices[0] + 0.25*(1 - x[1])*vertices[2] + 0.25*(1 + x[1])*vertices[4] - 0.25*(1 + x[1])*vertices[6];             # <<<<<<<<<<<<<<
 * 	scol[0] = -0.25*(1 - x[0])*vertices[0] + 0.25*(1 - x[0])*vertices[6] - 0.25*(1 + x[0])*vertices[2] + 0.25*(1 + x[0])*vertices[4];
 * 	rcol[1] = -0.25*(1 - x[1])*vertices[1] + 0.25*(1 - x[1])*vertices[3] + 0.25*(1 + x[1])*vertices[5] - 0.25*(1 + x[1])*vertices[7];
 */
  (__pyx_v_rcol[0]) = (((((-0.25 * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[0])) + ((0.25 * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[2]))) + ((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[4]))) - ((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[6])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":63
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.25*(1 - x[1])*vertices[0] + 0.25*(1 - x[1])*vertices[2] + 0.25*(1 + x[1])*vertices[4] - 0.25*(1 + x[1])*vertices[6];
 * 	scol[0] = -0.25*(1 - x[0])*vertices[0] + 0.25*(1 - x[0])*vertices[6] - 0.25*(1 + x[0])*vertices[2] + 0.25*(1 + x[0])*vertices[4];             # <<<<<<<<<<<<<<
 * 	rcol[1] = -0.25*(1 - x[1])*vertices[1] + 0.25*(1 - x[1])*vertices[3] + 0.25*(1 + x[1])*vertices[5] - 0.25*(1 + x[1])*vertices[7];
 * 	scol[1] = -0.25*(1 - x[0])*vertices[1] + 0.25*(1 - x[0])*vertices[7] - 0.25*(1 + x[0])*vertices[3] + 0.25*(1 + x[0])*vertices[5];
 */
  (__pyx_v_scol[0]) = (((((-0.25 * (1.0 - (__pyx_v_x[0]))) * (__pyx_v_vertices[0])) + ((0.25 * (1.0 - (__pyx_v_x[0]))) * (__pyx_v_vertices[6]))) - ((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[2]))) + ((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[4])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":64
 * 	rcol[0] = -0.25*(1 - x[1])*vertices[0] + 0.25*(1 - x[1])*vertices[2] + 0.25*(1 + x[1])*vertices[4] - 0.25*(1 + x[1])*vertices[6];
 * 	scol[0] = -0.25*(1 - x[0])*vertices[0] + 0.25*(1 - x[0])*vertices[6] - 0.25*(1 + x[0])*vertices[2] + 0.25*(1 + x[0])*vertices[4];
 * 	rcol[1] = -0.25*(1 - x[1])*vertices[1] + 0.25*(1 - x[1])*vertices[3] + 0.25*(1 + x[1])*vertices[5] - 0.25*(1 + x[1])*vertices[7];             # <<<<<<<<<<<<<<
 * 	scol[1] = -0.25*(1 - x[0])*vertices[1] + 0.25*(1 - x[0])*vertices[7] - 0.25*(1 + x[0])*vertices[3] + 0.25*(1 + x[0])*vertices[5];
 * 
 */
  (__pyx_v_rcol[1]) = (((((-0.25 * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[1])) + ((0.25 * (1.0 - (__pyx_v_x[1]))) * (__pyx_v_vertices[3]))) + ((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[5]))) - ((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[7])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":65
 * 	scol[0] = -0.25*(1 - x[0])*vertices[0] + 0.25*(1 - x[0])*vertices[6] - 0.25*(1 + x[0])*vertices[2] + 0.25*(1 + x[0])*vertices[4];
 * 	rcol[1] = -0.25*(1 - x[1])*vertices[1] + 0.25*(1 - x[1])*vertices[3] + 0.25*(1 + x[1])*vertices[5] - 0.25*(1 + x[1])*vertices[7];
 * 	scol[1] = -0.25*(1 - x[0])*vertices[1] + 0.25*(1 - x[0])*vertices[7] - 0.25*(1 + x[0])*vertices[3] + 0.25*(1 + x[0])*vertices[5];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_scol[1]) = (((((-0.25 * (1.0 - (__pyx_v_x[0]))) * (__pyx_v_vertices[1])) + ((0.25 * (1.0 - (__pyx_v_x[0]))) * (__pyx_v_vertices[7]))) - ((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[3]))) + ((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[5])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":57
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q1Jacobian2D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* x,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":71
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q2Function2D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Q2Function2D(double *__pyx_v_fx, double *__pyx_v_x, double *__pyx_v_vertices, double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":75
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	fx[0] = (1 + x[0])*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[8] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(1 + x[1])*vertices[12] - phys_x[0] - 0.5*x[0]*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[14] + 0.25*x[0]*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[0] + 0.25*x[0]*(-1 + x[0])*x[1]*(1 + x[1])*vertices[6] - 0.5*x[0]*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[10] + 0.25*x[0]*(1 + x[0])*x[1]*(-1 + x[1])*vertices[2] + 0.25*x[0]*(1 + x[0])*x[1]*(1 + x[1])*vertices[4];             # <<<<<<<<<<<<<<
 * 	fx[1] = (1 + x[0])*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[9] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(1 + x[1])*vertices[13] - phys_x[1] - 0.5*x[0]*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[15] + 0.25*x[0]*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[1] + 0.25*x[0]*(-1 + x[0])*x[1]*(1 + x[1])*vertices[7] - 0.5*x[0]*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[11] + 0.25*x[0]*(1 + x[0])*x[1]*(-1 + x[1])*vertices[3] + 0.25*x[0]*(1 + x[0])*x[1]*(1 + x[1])*vertices[5];
 * 
 */
  (__pyx_v_fx[0]) = ((((((((((((((1.0 + (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[16])) - (((((0.5 * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[8]))) - (((((0.5 * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[12]))) - (__pyx_v_phys_x[0])) - (((((0.5 * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[14]))) + (((((0.25 * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[0]))) + (((((0.25 * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[6]))) - (((((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[10]))) + (((((0.25 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[2]))) + (((((0.25 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[4])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":76
 *                        double* phys_x) nogil:
 * 	fx[0] = (1 + x[0])*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[8] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(1 + x[1])*vertices[12] - phys_x[0] - 0.5*x[0]*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[14] + 0.25*x[0]*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[0] + 0.25*x[0]*(-1 + x[0])*x[1]*(1 + x[1])*vertices[6] - 0.5*x[0]*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[10] + 0.25*x[0]*(1 + x[0])*x[1]*(-1 + x[1])*vertices[2] + 0.25*x[0]*(1 + x[0])*x[1]*(1 + x[1])*vertices[4];
 * 	fx[1] = (1 + x[0])*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[9] - 0.5*(1 + x[0])*(-1 + x[0])*x[1]*(1 + x[1])*vertices[13] - phys_x[1] - 0.5*x[0]*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[15] + 0.25*x[0]*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[1] + 0.25*x[0]*(-1 + x[0])*x[1]*(1 + x[1])*vertices[7] - 0.5*x[0]*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[11] + 0.25*x[0]*(1 + x[0])*x[1]*(-1 + x[1])*vertices[3] + 0.25*x[0]*(1 + x[0])*x[1]*(1 + x[1])*vertices[5];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_fx[1]) = ((((((((((((((1.0 + (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[17])) - (((((0.5 * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[9]))) - (((((0.5 * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[13]))) - (__pyx_v_phys_x[1])) - (((((0.5 * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[15]))) + (((((0.25 * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[1]))) + (((((0.25 * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[7]))) - (((((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[11]))) + (((((0.25 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[3]))) + (((((0.25 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[5])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":71
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q2Function2D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":82
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q2Jacobian2D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* x,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Q2Jacobian2D(double *__pyx_v_rcol, double *__pyx_v_scol, double *__pyx_v_x, double *__pyx_v_vertices, CYTHON_UNUSED double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":87
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[14] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[0] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[8] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[6] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[12] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[10] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[2] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[8] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[4] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[12] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[10] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[14] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[0] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[2] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[4] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[6];             # <<<<<<<<<<<<<<
 * 	scol[0] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[8] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[0] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[2] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[12] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[6] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[4] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[8] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[12] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[0] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[6] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[2] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[4];
 * 	rcol[1] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[15] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[1] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[7] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[11] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[3] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[5] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[11] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[15] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[1] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[3] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[5] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[7];
 */
  (__pyx_v_rcol[0]) = (((((((((((((((((((((-0.5 * (-1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[14])) + ((((-1.0 + (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[16]))) + ((((0.25 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[0]))) - ((((0.5 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[8]))) + ((((0.25 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[6]))) - ((((0.5 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[12]))) - ((((0.5 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[10]))) + ((((1.0 + (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[16]))) + ((((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[2]))) - ((((0.5 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[8]))) + ((((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[4]))) - ((((0.5 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[12]))) - ((((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[10]))) - ((((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[14]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[0]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[2]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[4]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[6])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":88
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[14] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[0] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[8] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[6] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[12] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[10] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[2] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[8] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[4] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[12] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[10] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[14] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[0] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[2] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[4] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[6];
 * 	scol[0] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[8] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[0] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[2] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[12] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[6] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[4] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[8] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[12] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[0] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[6] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[2] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[4];             # <<<<<<<<<<<<<<
 * 	rcol[1] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[15] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[1] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[7] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[11] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[3] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[5] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[11] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[15] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[1] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[3] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[5] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[7];
 * 	scol[1] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[9] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[17] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[1] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[15] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[3] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[11] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[13] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[17] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[7] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[15] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[5] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[11] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[9] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[13] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[1] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[7] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[3] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[5];
 */
  (__pyx_v_scol[0]) = (((((((((((((((((((((-0.5 * (-1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[8])) + ((((-1.0 + (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[16]))) + ((((0.25 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[0]))) - ((((0.5 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[14]))) + ((((0.25 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[2]))) - ((((0.5 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[10]))) - ((((0.5 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[12]))) + ((((1.0 + (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[16]))) + ((((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[6]))) - ((((0.5 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[14]))) + ((((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[4]))) - ((((0.5 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[10]))) - ((((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[8]))) - ((((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[12]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[0]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[6]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[2]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[4])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":89
 * 	rcol[0] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[14] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[0] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[8] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[6] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[12] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[10] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[16] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[2] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[8] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[4] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[12] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[10] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[14] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[0] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[2] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[4] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[6];
 * 	scol[0] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[8] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[0] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[2] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[12] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[6] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[4] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[8] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[12] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[0] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[6] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[2] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[4];
 * 	rcol[1] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[15] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[1] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[7] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[11] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[3] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[5] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[11] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[15] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[1] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[3] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[5] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[7];             # <<<<<<<<<<<<<<
 * 	scol[1] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[9] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[17] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[1] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[15] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[3] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[11] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[13] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[17] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[7] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[15] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[5] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[11] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[9] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[13] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[1] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[7] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[3] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[5];
 * 
 */
  (__pyx_v_rcol[1]) = (((((((((((((((((((((-0.5 * (-1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[15])) + ((((-1.0 + (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[17]))) + ((((0.25 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[1]))) - ((((0.5 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[9]))) + ((((0.25 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[7]))) - ((((0.5 * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[13]))) - ((((0.5 * (1.0 + (__pyx_v_x[0]))) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[11]))) + ((((1.0 + (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[17]))) + ((((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[3]))) - ((((0.5 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[9]))) + ((((0.25 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[5]))) - ((((0.5 * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[13]))) - ((((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[11]))) - ((((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[1]))) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[15]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[1]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[3]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[5]))) + ((((0.25 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_vertices[7])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":90
 * 	scol[0] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[8] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[0] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[2] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[12] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[16] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[6] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[14] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[4] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[10] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[8] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[12] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[0] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[6] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[2] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[4];
 * 	rcol[1] = -0.5*(-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[15] + (-1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[1] - 0.5*(-1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(-1 + x[0])*x[1]*(1 + x[1])*vertices[7] - 0.5*(-1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*(1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[11] + (1 + x[0])*(1 + x[1])*(-1 + x[1])*vertices[17] + 0.25*(1 + x[0])*x[1]*(-1 + x[1])*vertices[3] - 0.5*(1 + x[0])*x[1]*(-1 + x[1])*vertices[9] + 0.25*(1 + x[0])*x[1]*(1 + x[1])*vertices[5] - 0.5*(1 + x[0])*x[1]*(1 + x[1])*vertices[13] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[11] - 0.5*x[0]*(1 + x[1])*(-1 + x[1])*vertices[15] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[1] + 0.25*x[0]*x[1]*(-1 + x[1])*vertices[3] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[5] + 0.25*x[0]*x[1]*(1 + x[1])*vertices[7];
 * 	scol[1] = -0.5*(-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[9] + (-1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[17] + 0.25*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[1] - 0.5*(-1 + x[1])*x[0]*(-1 + x[0])*vertices[15] + 0.25*(-1 + x[1])*x[0]*(1 + x[0])*vertices[3] - 0.5*(-1 + x[1])*x[0]*(1 + x[0])*vertices[11] - 0.5*(1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[13] + (1 + x[1])*(1 + x[0])*(-1 + x[0])*vertices[17] + 0.25*(1 + x[1])*x[0]*(-1 + x[0])*vertices[7] - 0.5*(1 + x[1])*x[0]*(-1 + x[0])*vertices[15] + 0.25*(1 + x[1])*x[0]*(1 + x[0])*vertices[5] - 0.5*(1 + x[1])*x[0]*(1 + x[0])*vertices[11] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[9] - 0.5*x[1]*(1 + x[0])*(-1 + x[0])*vertices[13] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[1] + 0.25*x[1]*x[0]*(-1 + x[0])*vertices[7] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[3] + 0.25*x[1]*x[0]*(1 + x[0])*vertices[5];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_scol[1]) = (((((((((((((((((((((-0.5 * (-1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[9])) + ((((-1.0 + (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[17]))) + ((((0.25 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[1]))) - ((((0.5 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[15]))) + ((((0.25 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[3]))) - ((((0.5 * (-1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[11]))) - ((((0.5 * (1.0 + (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[13]))) + ((((1.0 + (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[17]))) + ((((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[7]))) - ((((0.5 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[15]))) + ((((0.25 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[5]))) - ((((0.5 * (1.0 + (__pyx_v_x[1]))) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[11]))) - ((((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[9]))) - ((((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[0]))) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[13]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[1]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (-1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[7]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[3]))) + ((((0.25 * (__pyx_v_x[1])) * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[0]))) * (__pyx_v_vertices[5])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":82
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Q2Jacobian2D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* x,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":96
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Tet2Function3D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Tet2Function3D(double *__pyx_v_fx, double *__pyx_v_x, double *__pyx_v_vertices, double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":100
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	fx[0] = (-x[0] + 2*pow(x[0], 2))*vertices[3] + (-x[1] + 2*pow(x[1], 2))*vertices[6] + (-x[2] + 2*pow(x[2], 2))*vertices[9] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[12] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[18] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[21] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[0] - phys_x[0] + 4*x[0]*x[1]*vertices[15] + 4*x[0]*x[2]*vertices[24] + 4*x[1]*x[2]*vertices[27];             # <<<<<<<<<<<<<<
 * 	fx[1] = (-x[0] + 2*pow(x[0], 2))*vertices[4] + (-x[1] + 2*pow(x[1], 2))*vertices[7] + (-x[2] + 2*pow(x[2], 2))*vertices[10] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[13] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[19] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[22] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[1] - phys_x[1] + 4*x[0]*x[1]*vertices[16] + 4*x[0]*x[2]*vertices[25] + 4*x[1]*x[2]*vertices[28];
 * 	fx[2] = (-x[0] + 2*pow(x[0], 2))*vertices[5] + (-x[1] + 2*pow(x[1], 2))*vertices[8] + (-x[2] + 2*pow(x[2], 2))*vertices[11] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[14] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[20] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[23] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[2] - phys_x[2] + 4*x[0]*x[1]*vertices[17] + 4*x[0]*x[2]*vertices[26] + 4*x[1]*x[2]*vertices[29];
 */
  (__pyx_v_fx[0]) = (((((((((((((-(__pyx_v_x[0])) + (2.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[3])) + (((-(__pyx_v_x[1])) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[6]))) + (((-(__pyx_v_x[2])) + (2.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[9]))) + (((((4.0 * (__pyx_v_x[0])) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2]))) - (4.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[12]))) + (((((4.0 * (__pyx_v_x[1])) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[0]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2]))) - (4.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[18]))) + (((((4.0 * (__pyx_v_x[2])) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_x[0]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[21]))) + ((((((((((1.0 - (3.0 * (__pyx_v_x[0]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[0]), 2.0))) - (3.0 * (__pyx_v_x[1]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[1]), 2.0))) - (3.0 * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[0]))) - (__pyx_v_phys_x[0])) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (__pyx_v_vertices[15]))) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2])) * (__pyx_v_vertices[24]))) + (((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2])) * (__pyx_v_vertices[27])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":101
 *                        double* phys_x) nogil:
 * 	fx[0] = (-x[0] + 2*pow(x[0], 2))*vertices[3] + (-x[1] + 2*pow(x[1], 2))*vertices[6] + (-x[2] + 2*pow(x[2], 2))*vertices[9] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[12] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[18] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[21] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[0] - phys_x[0] + 4*x[0]*x[1]*vertices[15] + 4*x[0]*x[2]*vertices[24] + 4*x[1]*x[2]*vertices[27];
 * 	fx[1] = (-x[0] + 2*pow(x[0], 2))*vertices[4] + (-x[1] + 2*pow(x[1], 2))*vertices[7] + (-x[2] + 2*pow(x[2], 2))*vertices[10] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[13] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[19] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[22] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[1] - phys_x[1] + 4*x[0]*x[1]*vertices[16] + 4*x[0]*x[2]*vertices[25] + 4*x[1]*x[2]*vertices[28];             # <<<<<<<<<<<<<<
 * 	fx[2] = (-x[0] + 2*pow(x[0], 2))*vertices[5] + (-x[1] + 2*pow(x[1], 2))*vertices[8] + (-x[2] + 2*pow(x[2], 2))*vertices[11] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[14] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[20] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[23] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[2] - phys_x[2] + 4*x[0]*x[1]*vertices[17] + 4*x[0]*x[2]*vertices[26] + 4*x[1]*x[2]*vertices[29];
 * 
 */
  (__pyx_v_fx[1]) = (((((((((((((-(__pyx_v_x[0])) + (2.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[4])) + (((-(__pyx_v_x[1])) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[7]))) + (((-(__pyx_v_x[2])) + (2.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[10]))) + (((((4.0 * (__pyx_v_x[0])) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2]))) - (4.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[13]))) + (((((4.0 * (__pyx_v_x[1])) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[0]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2]))) - (4.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[19]))) + (((((4.0 * (__pyx_v_x[2])) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_x[0]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[22]))) + ((((((((((1.0 - (3.0 * (__pyx_v_x[0]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[0]), 2.0))) - (3.0 * (__pyx_v_x[1]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[1]), 2.0))) - (3.0 * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[1]))) - (__pyx_v_phys_x[1])) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (__pyx_v_vertices[16]))) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2])) * (__pyx_v_vertices[25]))) + (((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2])) * (__pyx_v_vertices[28])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":102
 * 	fx[0] = (-x[0] + 2*pow(x[0], 2))*vertices[3] + (-x[1] + 2*pow(x[1], 2))*vertices[6] + (-x[2] + 2*pow(x[2], 2))*vertices[9] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[12] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[18] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[21] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[0] - phys_x[0] + 4*x[0]*x[1]*vertices[15] + 4*x[0]*x[2]*vertices[24] + 4*x[1]*x[2]*vertices[27];
 * 	fx[1] = (-x[0] + 2*pow(x[0], 2))*vertices[4] + (-x[1] + 2*pow(x[1], 2))*vertices[7] + (-x[2] + 2*pow(x[2], 2))*vertices[10] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[13] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[19] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[22] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[1] - phys_x[1] + 4*x[0]*x[1]*vertices[16] + 4*x[0]*x[2]*vertices[25] + 4*x[1]*x[2]*vertices[28];
 * 	fx[2] = (-x[0] + 2*pow(x[0], 2))*vertices[5] + (-x[1] + 2*pow(x[1], 2))*vertices[8] + (-x[2] + 2*pow(x[2], 2))*vertices[11] + (4*x[0] - 4*x[0]*x[1] - 4*x[0]*x[2] - 4*pow(x[0], 2))*vertices[14] + (4*x[1] - 4*x[1]*x[0] - 4*x[1]*x[2] - 4*pow(x[1], 2))*vertices[20] + (4*x[2] - 4*x[2]*x[0] - 4*x[2]*x[1] - 4*pow(x[2], 2))*vertices[23] + (1 - 3*x[0] + 4*x[0]*x[1] + 4*x[0]*x[2] + 2*pow(x[0], 2) - 3*x[1] + 4*x[1]*x[2] + 2*pow(x[1], 2) - 3*x[2] + 2*pow(x[2], 2))*vertices[2] - phys_x[2] + 4*x[0]*x[1]*vertices[17] + 4*x[0]*x[2]*vertices[26] + 4*x[1]*x[2]*vertices[29];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_fx[2]) = (((((((((((((-(__pyx_v_x[0])) + (2.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[5])) + (((-(__pyx_v_x[1])) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[8]))) + (((-(__pyx_v_x[2])) + (2.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[11]))) + (((((4.0 * (__pyx_v_x[0])) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2]))) - (4.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[14]))) + (((((4.0 * (__pyx_v_x[1])) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[0]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2]))) - (4.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[20]))) + (((((4.0 * (__pyx_v_x[2])) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_x[0]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[23]))) + ((((((((((1.0 - (3.0 * (__pyx_v_x[0]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[0]), 2.0))) - (3.0 * (__pyx_v_x[1]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[1]), 2.0))) - (3.0 * (__pyx_v_x[2]))) + (2.0 * pow((__pyx_v_x[2]), 2.0))) * (__pyx_v_vertices[2]))) - (__pyx_v_phys_x[2])) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (__pyx_v_vertices[17]))) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[2])) * (__pyx_v_vertices[26]))) + (((4.0 * (__pyx_v_x[1])) * (__pyx_v_x[2])) * (__pyx_v_vertices[29])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":96
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Tet2Function3D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":108
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Tet2Jacobian3D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* tcol,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_Tet2Jacobian3D(double *__pyx_v_rcol, double *__pyx_v_scol, double *__pyx_v_tcol, double *__pyx_v_x, double *__pyx_v_vertices, CYTHON_UNUSED double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":114
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	rcol[0] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[12] + 4*x[1]*vertices[15] - 4*x[1]*vertices[18] - 4*x[2]*vertices[21] + 4*x[2]*vertices[24];             # <<<<<<<<<<<<<<
 * 	scol[0] = (-1 + 4*x[1])*vertices[6] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[18] - 4*x[0]*vertices[12] + 4*x[0]*vertices[15] - 4*x[2]*vertices[21] + 4*x[2]*vertices[27];
 * 	tcol[0] = (-1 + 4*x[2])*vertices[9] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[21] - 4*x[0]*vertices[12] + 4*x[0]*vertices[24] - 4*x[1]*vertices[18] + 4*x[1]*vertices[27];
 */
  (__pyx_v_rcol[0]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[0]))) * (__pyx_v_vertices[3])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[0]))) + ((((4.0 - (8.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) - (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[12]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[15]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[18]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[21]))) + ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[24])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":115
 *                        double* phys_x) nogil:
 * 	rcol[0] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[12] + 4*x[1]*vertices[15] - 4*x[1]*vertices[18] - 4*x[2]*vertices[21] + 4*x[2]*vertices[24];
 * 	scol[0] = (-1 + 4*x[1])*vertices[6] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[18] - 4*x[0]*vertices[12] + 4*x[0]*vertices[15] - 4*x[2]*vertices[21] + 4*x[2]*vertices[27];             # <<<<<<<<<<<<<<
 * 	tcol[0] = (-1 + 4*x[2])*vertices[9] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[21] - 4*x[0]*vertices[12] + 4*x[0]*vertices[24] - 4*x[1]*vertices[18] + 4*x[1]*vertices[27];
 * 	rcol[1] = (-1 + 4*x[0])*vertices[4] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[13] + 4*x[1]*vertices[16] - 4*x[1]*vertices[19] - 4*x[2]*vertices[22] + 4*x[2]*vertices[25];
 */
  (__pyx_v_scol[0]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[6])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[0]))) + ((((4.0 - (4.0 * (__pyx_v_x[0]))) - (8.0 * (__pyx_v_x[1]))) - (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[18]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[12]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[15]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[21]))) + ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[27])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":116
 * 	rcol[0] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[12] + 4*x[1]*vertices[15] - 4*x[1]*vertices[18] - 4*x[2]*vertices[21] + 4*x[2]*vertices[24];
 * 	scol[0] = (-1 + 4*x[1])*vertices[6] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[18] - 4*x[0]*vertices[12] + 4*x[0]*vertices[15] - 4*x[2]*vertices[21] + 4*x[2]*vertices[27];
 * 	tcol[0] = (-1 + 4*x[2])*vertices[9] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[21] - 4*x[0]*vertices[12] + 4*x[0]*vertices[24] - 4*x[1]*vertices[18] + 4*x[1]*vertices[27];             # <<<<<<<<<<<<<<
 * 	rcol[1] = (-1 + 4*x[0])*vertices[4] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[13] + 4*x[1]*vertices[16] - 4*x[1]*vertices[19] - 4*x[2]*vertices[22] + 4*x[2]*vertices[25];
 * 	scol[1] = (-1 + 4*x[1])*vertices[7] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[19] - 4*x[0]*vertices[13] + 4*x[0]*vertices[16] - 4*x[2]*vertices[22] + 4*x[2]*vertices[28];
 */
  (__pyx_v_tcol[0]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[9])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[0]))) + ((((4.0 - (4.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) - (8.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[21]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[12]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[24]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[18]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[27])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":117
 * 	scol[0] = (-1 + 4*x[1])*vertices[6] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[18] - 4*x[0]*vertices[12] + 4*x[0]*vertices[15] - 4*x[2]*vertices[21] + 4*x[2]*vertices[27];
 * 	tcol[0] = (-1 + 4*x[2])*vertices[9] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[21] - 4*x[0]*vertices[12] + 4*x[0]*vertices[24] - 4*x[1]*vertices[18] + 4*x[1]*vertices[27];
 * 	rcol[1] = (-1 + 4*x[0])*vertices[4] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[13] + 4*x[1]*vertices[16] - 4*x[1]*vertices[19] - 4*x[2]*vertices[22] + 4*x[2]*vertices[25];             # <<<<<<<<<<<<<<
 * 	scol[1] = (-1 + 4*x[1])*vertices[7] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[19] - 4*x[0]*vertices[13] + 4*x[0]*vertices[16] - 4*x[2]*vertices[22] + 4*x[2]*vertices[28];
 * 	tcol[1] = (-1 + 4*x[2])*vertices[10] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[22] - 4*x[0]*vertices[13] + 4*x[0]*vertices[25] - 4*x[1]*vertices[19] + 4*x[1]*vertices[28];
 */
  (__pyx_v_rcol[1]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[0]))) * (__pyx_v_vertices[4])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[1]))) + ((((4.0 - (8.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) - (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[13]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[16]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[19]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[22]))) + ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[25])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":118
 * 	tcol[0] = (-1 + 4*x[2])*vertices[9] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[0] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[21] - 4*x[0]*vertices[12] + 4*x[0]*vertices[24] - 4*x[1]*vertices[18] + 4*x[1]*vertices[27];
 * 	rcol[1] = (-1 + 4*x[0])*vertices[4] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[13] + 4*x[1]*vertices[16] - 4*x[1]*vertices[19] - 4*x[2]*vertices[22] + 4*x[2]*vertices[25];
 * 	scol[1] = (-1 + 4*x[1])*vertices[7] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[19] - 4*x[0]*vertices[13] + 4*x[0]*vertices[16] - 4*x[2]*vertices[22] + 4*x[2]*vertices[28];             # <<<<<<<<<<<<<<
 * 	tcol[1] = (-1 + 4*x[2])*vertices[10] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[22] - 4*x[0]*vertices[13] + 4*x[0]*vertices[25] - 4*x[1]*vertices[19] + 4*x[1]*vertices[28];
 * 	rcol[2] = (-1 + 4*x[0])*vertices[5] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[14] + 4*x[1]*vertices[17] - 4*x[1]*vertices[20] - 4*x[2]*vertices[23] + 4*x[2]*vertices[26];
 */
  (__pyx_v_scol[1]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[7])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[1]))) + ((((4.0 - (4.0 * (__pyx_v_x[0]))) - (8.0 * (__pyx_v_x[1]))) - (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[19]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[13]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[16]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[22]))) + ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[28])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":119
 * 	rcol[1] = (-1 + 4*x[0])*vertices[4] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[13] + 4*x[1]*vertices[16] - 4*x[1]*vertices[19] - 4*x[2]*vertices[22] + 4*x[2]*vertices[25];
 * 	scol[1] = (-1 + 4*x[1])*vertices[7] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[19] - 4*x[0]*vertices[13] + 4*x[0]*vertices[16] - 4*x[2]*vertices[22] + 4*x[2]*vertices[28];
 * 	tcol[1] = (-1 + 4*x[2])*vertices[10] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[22] - 4*x[0]*vertices[13] + 4*x[0]*vertices[25] - 4*x[1]*vertices[19] + 4*x[1]*vertices[28];             # <<<<<<<<<<<<<<
 * 	rcol[2] = (-1 + 4*x[0])*vertices[5] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[14] + 4*x[1]*vertices[17] - 4*x[1]*vertices[20] - 4*x[2]*vertices[23] + 4*x[2]*vertices[26];
 * 	scol[2] = (-1 + 4*x[1])*vertices[8] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[20] - 4*x[0]*vertices[14] + 4*x[0]*vertices[17] - 4*x[2]*vertices[23] + 4*x[2]*vertices[29];
 */
  (__pyx_v_tcol[1]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[10])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[1]))) + ((((4.0 - (4.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) - (8.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[22]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[13]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[25]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[19]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[28])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":120
 * 	scol[1] = (-1 + 4*x[1])*vertices[7] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[19] - 4*x[0]*vertices[13] + 4*x[0]*vertices[16] - 4*x[2]*vertices[22] + 4*x[2]*vertices[28];
 * 	tcol[1] = (-1 + 4*x[2])*vertices[10] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[22] - 4*x[0]*vertices[13] + 4*x[0]*vertices[25] - 4*x[1]*vertices[19] + 4*x[1]*vertices[28];
 * 	rcol[2] = (-1 + 4*x[0])*vertices[5] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[14] + 4*x[1]*vertices[17] - 4*x[1]*vertices[20] - 4*x[2]*vertices[23] + 4*x[2]*vertices[26];             # <<<<<<<<<<<<<<
 * 	scol[2] = (-1 + 4*x[1])*vertices[8] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[20] - 4*x[0]*vertices[14] + 4*x[0]*vertices[17] - 4*x[2]*vertices[23] + 4*x[2]*vertices[29];
 * 	tcol[2] = (-1 + 4*x[2])*vertices[11] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[23] - 4*x[0]*vertices[14] + 4*x[0]*vertices[26] - 4*x[1]*vertices[20] + 4*x[1]*vertices[29];
 */
  (__pyx_v_rcol[2]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[0]))) * (__pyx_v_vertices[5])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[2]))) + ((((4.0 - (8.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) - (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[14]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[17]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[20]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[23]))) + ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[26])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":121
 * 	tcol[1] = (-1 + 4*x[2])*vertices[10] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[1] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[22] - 4*x[0]*vertices[13] + 4*x[0]*vertices[25] - 4*x[1]*vertices[19] + 4*x[1]*vertices[28];
 * 	rcol[2] = (-1 + 4*x[0])*vertices[5] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[14] + 4*x[1]*vertices[17] - 4*x[1]*vertices[20] - 4*x[2]*vertices[23] + 4*x[2]*vertices[26];
 * 	scol[2] = (-1 + 4*x[1])*vertices[8] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[20] - 4*x[0]*vertices[14] + 4*x[0]*vertices[17] - 4*x[2]*vertices[23] + 4*x[2]*vertices[29];             # <<<<<<<<<<<<<<
 * 	tcol[2] = (-1 + 4*x[2])*vertices[11] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[23] - 4*x[0]*vertices[14] + 4*x[0]*vertices[26] - 4*x[1]*vertices[20] + 4*x[1]*vertices[29];
 * 
 */
  (__pyx_v_scol[2]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[8])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[2]))) + ((((4.0 - (4.0 * (__pyx_v_x[0]))) - (8.0 * (__pyx_v_x[1]))) - (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[20]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[14]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[17]))) - ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[23]))) + ((4.0 * (__pyx_v_x[2])) * (__pyx_v_vertices[29])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":122
 * 	rcol[2] = (-1 + 4*x[0])*vertices[5] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 8*x[0] - 4*x[1] - 4*x[2])*vertices[14] + 4*x[1]*vertices[17] - 4*x[1]*vertices[20] - 4*x[2]*vertices[23] + 4*x[2]*vertices[26];
 * 	scol[2] = (-1 + 4*x[1])*vertices[8] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 8*x[1] - 4*x[2])*vertices[20] - 4*x[0]*vertices[14] + 4*x[0]*vertices[17] - 4*x[2]*vertices[23] + 4*x[2]*vertices[29];
 * 	tcol[2] = (-1 + 4*x[2])*vertices[11] + (-3 + 4*x[0] + 4*x[1] + 4*x[2])*vertices[2] + (4 - 4*x[0] - 4*x[1] - 8*x[2])*vertices[23] - 4*x[0]*vertices[14] + 4*x[0]*vertices[26] - 4*x[1]*vertices[20] + 4*x[1]*vertices[29];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_tcol[2]) = ((((((((-1.0 + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[11])) + ((((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) + (4.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[2]))) + ((((4.0 - (4.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) - (8.0 * (__pyx_v_x[2]))) * (__pyx_v_vertices[23]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[14]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[26]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[20]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[29])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":108
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void Tet2Jacobian3D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* tcol,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":128
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void T2Function2D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_T2Function2D(double *__pyx_v_fx, double *__pyx_v_x, double *__pyx_v_vertices, double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":132
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	fx[0] = (-x[0] + 2*pow(x[0], 2))*vertices[2] + (-x[1] + 2*pow(x[1], 2))*vertices[4] + (-4*x[0]*x[1] + 4*x[1] - 4*pow(x[1], 2))*vertices[10] + (4*x[0] - 4*x[0]*x[1] - 4*pow(x[0], 2))*vertices[6] + (1 - 3*x[0] + 4*x[0]*x[1] + 2*pow(x[0], 2) - 3*x[1] + 2*pow(x[1], 2))*vertices[0] - phys_x[0] + 4*x[0]*x[1]*vertices[8];             # <<<<<<<<<<<<<<
 * 	fx[1] = (-x[0] + 2*pow(x[0], 2))*vertices[3] + (-x[1] + 2*pow(x[1], 2))*vertices[5] + (-4*x[0]*x[1] + 4*x[1] - 4*pow(x[1], 2))*vertices[11] + (4*x[0] - 4*x[0]*x[1] - 4*pow(x[0], 2))*vertices[7] + (1 - 3*x[0] + 4*x[0]*x[1] + 2*pow(x[0], 2) - 3*x[1] + 2*pow(x[1], 2))*vertices[1] - phys_x[1] + 4*x[0]*x[1]*vertices[9];
 * 
 */
  (__pyx_v_fx[0]) = (((((((((-(__pyx_v_x[0])) + (2.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[2])) + (((-(__pyx_v_x[1])) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[4]))) + (((((-4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) + (4.0 * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[10]))) + ((((4.0 * (__pyx_v_x[0])) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[6]))) + ((((((1.0 - (3.0 * (__pyx_v_x[0]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) + (2.0 * pow((__pyx_v_x[0]), 2.0))) - (3.0 * (__pyx_v_x[1]))) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[0]))) - (__pyx_v_phys_x[0])) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (__pyx_v_vertices[8])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":133
 *                        double* phys_x) nogil:
 * 	fx[0] = (-x[0] + 2*pow(x[0], 2))*vertices[2] + (-x[1] + 2*pow(x[1], 2))*vertices[4] + (-4*x[0]*x[1] + 4*x[1] - 4*pow(x[1], 2))*vertices[10] + (4*x[0] - 4*x[0]*x[1] - 4*pow(x[0], 2))*vertices[6] + (1 - 3*x[0] + 4*x[0]*x[1] + 2*pow(x[0], 2) - 3*x[1] + 2*pow(x[1], 2))*vertices[0] - phys_x[0] + 4*x[0]*x[1]*vertices[8];
 * 	fx[1] = (-x[0] + 2*pow(x[0], 2))*vertices[3] + (-x[1] + 2*pow(x[1], 2))*vertices[5] + (-4*x[0]*x[1] + 4*x[1] - 4*pow(x[1], 2))*vertices[11] + (4*x[0] - 4*x[0]*x[1] - 4*pow(x[0], 2))*vertices[7] + (1 - 3*x[0] + 4*x[0]*x[1] + 2*pow(x[0], 2) - 3*x[1] + 2*pow(x[1], 2))*vertices[1] - phys_x[1] + 4*x[0]*x[1]*vertices[9];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_fx[1]) = (((((((((-(__pyx_v_x[0])) + (2.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[3])) + (((-(__pyx_v_x[1])) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[5]))) + (((((-4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) + (4.0 * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[11]))) + ((((4.0 * (__pyx_v_x[0])) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) - (4.0 * pow((__pyx_v_x[0]), 2.0))) * (__pyx_v_vertices[7]))) + ((((((1.0 - (3.0 * (__pyx_v_x[0]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1]))) + (2.0 * pow((__pyx_v_x[0]), 2.0))) - (3.0 * (__pyx_v_x[1]))) + (2.0 * pow((__pyx_v_x[1]), 2.0))) * (__pyx_v_vertices[1]))) - (__pyx_v_phys_x[1])) + (((4.0 * (__pyx_v_x[0])) * (__pyx_v_x[1])) * (__pyx_v_vertices[9])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":128
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void T2Function2D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":139
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void T2Jacobian2D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* x,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_T2Jacobian2D(double *__pyx_v_rcol, double *__pyx_v_scol, double *__pyx_v_x, double *__pyx_v_vertices, CYTHON_UNUSED double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":144
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	rcol[0] = (-1 + 4*x[0])*vertices[2] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 8*x[0] - 4*x[1])*vertices[6] + 4*x[1]*vertices[8] - 4*x[1]*vertices[10];             # <<<<<<<<<<<<<<
 * 	scol[0] = (-1 + 4*x[1])*vertices[4] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 4*x[0] - 8*x[1])*vertices[10] - 4*x[0]*vertices[6] + 4*x[0]*vertices[8];
 * 	rcol[1] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 8*x[0] - 4*x[1])*vertices[7] + 4*x[1]*vertices[9] - 4*x[1]*vertices[11];
 */
  (__pyx_v_rcol[0]) = ((((((-1.0 + (4.0 * (__pyx_v_x[0]))) * (__pyx_v_vertices[2])) + (((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[0]))) + (((4.0 - (8.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[6]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[8]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[10])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":145
 *                        double* phys_x) nogil:
 * 	rcol[0] = (-1 + 4*x[0])*vertices[2] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 8*x[0] - 4*x[1])*vertices[6] + 4*x[1]*vertices[8] - 4*x[1]*vertices[10];
 * 	scol[0] = (-1 + 4*x[1])*vertices[4] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 4*x[0] - 8*x[1])*vertices[10] - 4*x[0]*vertices[6] + 4*x[0]*vertices[8];             # <<<<<<<<<<<<<<
 * 	rcol[1] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 8*x[0] - 4*x[1])*vertices[7] + 4*x[1]*vertices[9] - 4*x[1]*vertices[11];
 * 	scol[1] = (-1 + 4*x[1])*vertices[5] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 4*x[0] - 8*x[1])*vertices[11] - 4*x[0]*vertices[7] + 4*x[0]*vertices[9];
 */
  (__pyx_v_scol[0]) = ((((((-1.0 + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[4])) + (((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[0]))) + (((4.0 - (4.0 * (__pyx_v_x[0]))) - (8.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[10]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[6]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[8])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":146
 * 	rcol[0] = (-1 + 4*x[0])*vertices[2] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 8*x[0] - 4*x[1])*vertices[6] + 4*x[1]*vertices[8] - 4*x[1]*vertices[10];
 * 	scol[0] = (-1 + 4*x[1])*vertices[4] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 4*x[0] - 8*x[1])*vertices[10] - 4*x[0]*vertices[6] + 4*x[0]*vertices[8];
 * 	rcol[1] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 8*x[0] - 4*x[1])*vertices[7] + 4*x[1]*vertices[9] - 4*x[1]*vertices[11];             # <<<<<<<<<<<<<<
 * 	scol[1] = (-1 + 4*x[1])*vertices[5] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 4*x[0] - 8*x[1])*vertices[11] - 4*x[0]*vertices[7] + 4*x[0]*vertices[9];
 * 
 */
  (__pyx_v_rcol[1]) = ((((((-1.0 + (4.0 * (__pyx_v_x[0]))) * (__pyx_v_vertices[3])) + (((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[1]))) + (((4.0 - (8.0 * (__pyx_v_x[0]))) - (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[7]))) + ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[9]))) - ((4.0 * (__pyx_v_x[1])) * (__pyx_v_vertices[11])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":147
 * 	scol[0] = (-1 + 4*x[1])*vertices[4] + (-3 + 4*x[0] + 4*x[1])*vertices[0] + (4 - 4*x[0] - 8*x[1])*vertices[10] - 4*x[0]*vertices[6] + 4*x[0]*vertices[8];
 * 	rcol[1] = (-1 + 4*x[0])*vertices[3] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 8*x[0] - 4*x[1])*vertices[7] + 4*x[1]*vertices[9] - 4*x[1]*vertices[11];
 * 	scol[1] = (-1 + 4*x[1])*vertices[5] + (-3 + 4*x[0] + 4*x[1])*vertices[1] + (4 - 4*x[0] - 8*x[1])*vertices[11] - 4*x[0]*vertices[7] + 4*x[0]*vertices[9];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_scol[1]) = ((((((-1.0 + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[5])) + (((-3.0 + (4.0 * (__pyx_v_x[0]))) + (4.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[1]))) + (((4.0 - (4.0 * (__pyx_v_x[0]))) - (8.0 * (__pyx_v_x[1]))) * (__pyx_v_vertices[11]))) - ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[7]))) + ((4.0 * (__pyx_v_x[0])) * (__pyx_v_vertices[9])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":139
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void T2Jacobian2D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* x,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":153
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void W1Function3D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_W1Function3D(double *__pyx_v_fx, double *__pyx_v_x, double *__pyx_v_vertices, double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":157
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	fx[0] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[0] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[9] - phys_x[0] + 0.5*x[0]*(1 - x[2])*vertices[3] + 0.5*x[0]*(1 + x[2])*vertices[12] + 0.5*x[1]*(1 - x[2])*vertices[6] + 0.5*x[1]*(1 + x[2])*vertices[15];             # <<<<<<<<<<<<<<
 * 	fx[1] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[1] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[10] - phys_x[1] + 0.5*x[0]*(1 - x[2])*vertices[4] + 0.5*x[0]*(1 + x[2])*vertices[13] + 0.5*x[1]*(1 - x[2])*vertices[7] + 0.5*x[1]*(1 + x[2])*vertices[16];
 * 	fx[2] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[2] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[11] - phys_x[2] + 0.5*x[0]*(1 - x[2])*vertices[5] + 0.5*x[0]*(1 + x[2])*vertices[14] + 0.5*x[1]*(1 - x[2])*vertices[8] + 0.5*x[1]*(1 + x[2])*vertices[17];
 */
  (__pyx_v_fx[0]) = (((((((((0.5 * ((1.0 - (__pyx_v_x[0])) - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[0])) + (((0.5 * ((1.0 - (__pyx_v_x[0])) - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[9]))) - (__pyx_v_phys_x[0])) + (((0.5 * (__pyx_v_x[0])) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[3]))) + (((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[12]))) + (((0.5 * (__pyx_v_x[1])) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[6]))) + (((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[15])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":158
 *                        double* phys_x) nogil:
 * 	fx[0] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[0] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[9] - phys_x[0] + 0.5*x[0]*(1 - x[2])*vertices[3] + 0.5*x[0]*(1 + x[2])*vertices[12] + 0.5*x[1]*(1 - x[2])*vertices[6] + 0.5*x[1]*(1 + x[2])*vertices[15];
 * 	fx[1] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[1] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[10] - phys_x[1] + 0.5*x[0]*(1 - x[2])*vertices[4] + 0.5*x[0]*(1 + x[2])*vertices[13] + 0.5*x[1]*(1 - x[2])*vertices[7] + 0.5*x[1]*(1 + x[2])*vertices[16];             # <<<<<<<<<<<<<<
 * 	fx[2] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[2] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[11] - phys_x[2] + 0.5*x[0]*(1 - x[2])*vertices[5] + 0.5*x[0]*(1 + x[2])*vertices[14] + 0.5*x[1]*(1 - x[2])*vertices[8] + 0.5*x[1]*(1 + x[2])*vertices[17];
 * 
 */
  (__pyx_v_fx[1]) = (((((((((0.5 * ((1.0 - (__pyx_v_x[0])) - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[1])) + (((0.5 * ((1.0 - (__pyx_v_x[0])) - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[10]))) - (__pyx_v_phys_x[1])) + (((0.5 * (__pyx_v_x[0])) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[4]))) + (((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[13]))) + (((0.5 * (__pyx_v_x[1])) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[7]))) + (((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[16])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":159
 * 	fx[0] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[0] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[9] - phys_x[0] + 0.5*x[0]*(1 - x[2])*vertices[3] + 0.5*x[0]*(1 + x[2])*vertices[12] + 0.5*x[1]*(1 - x[2])*vertices[6] + 0.5*x[1]*(1 + x[2])*vertices[15];
 * 	fx[1] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[1] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[10] - phys_x[1] + 0.5*x[0]*(1 - x[2])*vertices[4] + 0.5*x[0]*(1 + x[2])*vertices[13] + 0.5*x[1]*(1 - x[2])*vertices[7] + 0.5*x[1]*(1 + x[2])*vertices[16];
 * 	fx[2] = 0.5*(1 - x[0] - x[1])*(1 - x[2])*vertices[2] + 0.5*(1 - x[0] - x[1])*(1 + x[2])*vertices[11] - phys_x[2] + 0.5*x[0]*(1 - x[2])*vertices[5] + 0.5*x[0]*(1 + x[2])*vertices[14] + 0.5*x[1]*(1 - x[2])*vertices[8] + 0.5*x[1]*(1 + x[2])*vertices[17];             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_fx[2]) = (((((((((0.5 * ((1.0 - (__pyx_v_x[0])) - (__pyx_v_x[1]))) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[2])) + (((0.5 * ((1.0 - (__pyx_v_x[0])) - (__pyx_v_x[1]))) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[11]))) - (__pyx_v_phys_x[2])) + (((0.5 * (__pyx_v_x[0])) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[5]))) + (((0.5 * (__pyx_v_x[0])) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[14]))) + (((0.5 * (__pyx_v_x[1])) * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[8]))) + (((0.5 * (__pyx_v_x[1])) * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[17])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":153
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void W1Function3D(double* fx,             # <<<<<<<<<<<<<<
 *                        double* x,
 *                        double* vertices,
 */

  /* function exit code */
}

/* "yt/utilities/lib/autogenerated_element_samplers.pyx":165
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void W1Jacobian3D(double* rcol,             # <<<<<<<<<<<<<<
 *                        double* scol,
 *                        double* tcol,
 */

static void __pyx_f_2yt_9utilities_3lib_30autogenerated_element_samplers_W1Jacobian3D(double *__pyx_v_rcol, double *__pyx_v_scol, double *__pyx_v_tcol, double *__pyx_v_x, double *__pyx_v_vertices, CYTHON_UNUSED double *__pyx_v_phys_x) {

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":171
 *                        double* vertices,
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[3] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[12];             # <<<<<<<<<<<<<<
 * 	scol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[6] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[15];
 * 	tcol[0] = -0.5*(1 - x[0] - x[1])*vertices[0] + 0.5*(1 - x[0] - x[1])*vertices[9] - 0.5*x[0]*vertices[3] + 0.5*x[0]*vertices[12] - 0.5*x[1]*vertices[6] + 0.5*x[1]*vertices[15];
 */
  (__pyx_v_rcol[0]) = (((((-0.5 * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[0])) + ((0.5 * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[3]))) - ((0.5 * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[9]))) + ((0.5 * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[12])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":172
 *                        double* phys_x) nogil:
 * 	rcol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[3] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[12];
 * 	scol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[6] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[15];             # <<<<<<<<<<<<<<
 * 	tcol[0] = -0.5*(1 - x[0] - x[1])*vertices[0] + 0.5*(1 - x[0] - x[1])*vertices[9] - 0.5*x[0]*vertices[3] + 0.5*x[0]*vertices[12] - 0.5*x[1]*vertices[6] + 0.5*x[1]*vertices[15];
 * 	rcol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[4] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[13];
 */
  (__pyx_v_scol[0]) = (((((-0.5 * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[0])) + ((0.5 * (1.0 - (__pyx_v_x[2]))) * (__pyx_v_vertices[6]))) - ((0.5 * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[9]))) + ((0.5 * (1.0 + (__pyx_v_x[2]))) * (__pyx_v_vertices[15])));

  /* "yt/utilities/lib/autogenerated_element_samplers.pyx":173
 * 	rcol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[3] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[12];
 * 	scol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[6] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[15];
 * 	tcol[0] = -0.5*(1 - x[0] - x[1])*vertices[0] + 0.5*(1 - x[0] - x[1])*vertices[9] - 0.5*x[0]*vertices[3] + 0.5*x[0]*vertices[12] - 0.5*x[1]*vertices[6] + 0.5*x[1]*vertices[15];             # <<<<<<<<<<<<<<
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 * 	scol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[7] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[16];
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 * 	scol[0] = -0.5*(1 - x[2])*vertices[0] + 0.5*(1 - x[2])*vertices[6] - 0.5*(1 + x[2])*vertices[9] + 0.5*(1 + x[2])*vertices[15];
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 * 	scol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[7] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[16];
 * 	tcol[1] = -0.5*(1 - x[0] - x[1])*vertices[1] + 0.5*(1 - x[0] - x[1])*vertices[10] - 0.5*x[0]*vertices[4] + 0.5*x[0]*vertices[13] - 0.5*x[1]*vertices[7] + 0.5*x[1]*vertices[16];
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 * 	tcol[0] = -0.5*(1 - x[0] - x[1])*vertices[0] + 0.5*(1 - x[0] - x[1])*vertices[9] - 0.5*x[0]*vertices[3] + 0.5*x[0]*vertices[12] - 0.5*x[1]*vertices[6] + 0.5*x[1]*vertices[15];
 * 	rcol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[4] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[13];
 * 	scol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[7] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[16];             # <<<<<<<<<<<<<<
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 * 	rcol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[4] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[13];
 * 	scol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[7] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[16];
 * 	tcol[1] = -0.5*(1 - x[0] - x[1])*vertices[1] + 0.5*(1 - x[0] - x[1])*vertices[10] - 0.5*x[0]*vertices[4] + 0.5*x[0]*vertices[13] - 0.5*x[1]*vertices[7] + 0.5*x[1]*vertices[16];             # <<<<<<<<<<<<<<
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 * 	scol[2] = -0.5*(1 - x[2])*vertices[2] + 0.5*(1 - x[2])*vertices[8] - 0.5*(1 + x[2])*vertices[11] + 0.5*(1 + x[2])*vertices[17];
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 * 	scol[1] = -0.5*(1 - x[2])*vertices[1] + 0.5*(1 - x[2])*vertices[7] - 0.5*(1 + x[2])*vertices[10] + 0.5*(1 + x[2])*vertices[16];
 * 	tcol[1] = -0.5*(1 - x[0] - x[1])*vertices[1] + 0.5*(1 - x[0] - x[1])*vertices[10] - 0.5*x[0]*vertices[4] + 0.5*x[0]*vertices[13] - 0.5*x[1]*vertices[7] + 0.5*x[1]*vertices[16];
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 * 	tcol[2] = -0.5*(1 - x[0] - x[1])*vertices[2] + 0.5*(1 - x[0] - x[1])*vertices[11] - 0.5*x[0]*vertices[5] + 0.5*x[0]*vertices[14] - 0.5*x[1]*vertices[8] + 0.5*x[1]*vertices[17];
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 * 	tcol[1] = -0.5*(1 - x[0] - x[1])*vertices[1] + 0.5*(1 - x[0] - x[1])*vertices[10] - 0.5*x[0]*vertices[4] + 0.5*x[0]*vertices[13] - 0.5*x[1]*vertices[7] + 0.5*x[1]*vertices[16];
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    }

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } 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) (-(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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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_IntOrLong(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_IntOrLong(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;
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } 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) (-(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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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_IntOrLong(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_IntOrLong(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;
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* CheckBinaryVersion */
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;
}

/* FunctionExport */
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;
}

/* InitStrings */
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;
        if (PyObject_Hash(*t->p) == -1)
            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 const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    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
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(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
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __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)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } 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 int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  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(b);
  }
#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_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
