08-May-2023 22:51:08

sphere_exactness_test():
  MATLAB/Octave version 5.2.0
  Test sphere_exactness().
08-May-2023 22:51:08

SPHERE_EXACTNESS
  MATLAB/Octave version 5.2.0

  Investigate the polynomial exactness of a quadrature
  rule for the unit sphere by integrating all monomials
  of a given degree.

SPHERE_EXACTNESS: User input:
  File structure = "xyz1".
  Filename prefix = "design_04".
  Maximum degree = 5
  Number of points = 14

      Error    Degree  Exponents

        0.0000000000000000    0    0  0  0

        0.0000000000000001    1    1  0  0
        0.0000000000000000    1    0  1  0
        0.0000000000000000    1    0  0  1

        0.0000000000000000    2    2  0  0
        0.0000000000000001    2    1  1  0
        0.0000000000000018    2    0  2  0
        0.0000000000000002    2    1  0  1
        0.0000000000000001    2    0  1  1
        0.0000000000000018    2    0  0  2

        0.0000000000000001    3    3  0  0
        0.0000000000000001    3    2  1  0
        0.0000000000000000    3    1  2  0
        0.0000000000000007    3    0  3  0
        0.0000000000000001    3    2  0  1
        0.0000000000000002    3    1  1  1
        0.0000000000000000    3    0  2  1
        0.0000000000000000    3    1  0  2
        0.0000000000000007    3    0  1  2
        0.0000000000000000    3    0  0  3

        0.0000000000000000    4    4  0  0
        0.0000000000000000    4    3  1  0
        0.0000000000000001    4    2  2  0
        0.0000000000000001    4    1  3  0
        0.0000000000000009    4    0  4  0
        0.0000000000000000    4    3  0  1
        0.0000000000000000    4    2  1  1
        0.0000000000000001    4    1  2  1
        0.0000000000000000    4    0  3  1
        0.0000000000000002    4    2  0  2
        0.0000000000000000    4    1  1  2
        0.0000000000000003    4    0  2  2
        0.0000000000000001    4    1  0  3
        0.0000000000000000    4    0  1  3
        0.0000000000000013    4    0  0  4

        0.0000000000000000    5    5  0  0
        0.0000000000000000    5    4  1  0
        0.0000000000000000    5    3  2  0
        0.1140044293477214    5    2  3  0
        0.0000000000000000    5    1  4  0
        0.1425055366846508    5    0  5  0
        0.0000000000000000    5    4  0  1
        0.0000000000000000    5    3  1  1
        0.0000000000000000    5    2  2  1
        0.0000000000000000    5    1  3  1
        0.0000000000000001    5    0  4  1
        0.0000000000000000    5    3  0  2
        0.1140044293477214    5    2  1  2
        0.0000000000000000    5    1  2  2
        0.0285011073369301    5    0  3  2
        0.0000000000000000    5    2  0  3
        0.0000000000000001    5    1  1  3
        0.0000000000000000    5    0  2  3
        0.0000000000000000    5    1  0  4
        0.0855033220107905    5    0  1  4
        0.0000000000000001    5    0  0  5

SPHERE_EXACTNESS:
  Normal end of execution.

08-May-2023 22:51:08
08-May-2023 22:51:08

SPHERE_EXACTNESS
  MATLAB/Octave version 5.2.0

  Investigate the polynomial exactness of a quadrature
  rule for the unit sphere by integrating all monomials
  of a given degree.

SPHERE_EXACTNESS: User input:
  File structure = "dtpw".
  Filename prefix = "lebedev_013".
  Maximum degree = 5
  Number of points = 74

      Error    Degree  Exponents

        0.0000000000000036    0    0  0  0

        0.0000000000000000    1    1  0  0
        0.0000000000000002    1    0  1  0
        0.0000000000000013    1    0  0  1

        0.0000000000000018    2    2  0  0
        0.0000000000000000    2    1  1  0
        0.0000000000000018    2    0  2  0
        0.0000000000000000    2    1  0  1
        0.0000000000000001    2    0  1  1
        0.0000000000000018    2    0  0  2

        0.0000000000000000    3    3  0  0
        0.0000000000000000    3    2  1  0
        0.0000000000000002    3    1  2  0
        0.0000000000000002    3    0  3  0
        0.0000000000000003    3    2  0  1
        0.0000000000000000    3    1  1  1
        0.0000000000000003    3    0  2  1
        0.0000000000000001    3    1  0  2
        0.0000000000000001    3    0  1  2
        0.0000000000000009    3    0  0  3

        0.0000000000000173    4    4  0  0
        0.0000000000000001    4    3  1  0
        0.0000000000000092    4    2  2  0
        0.0000000000000000    4    1  3  0
        0.0000000000000173    4    0  4  0
        0.0000000000000000    4    3  0  1
        0.0000000000000000    4    2  1  1
        0.0000000000000000    4    1  2  1
        0.0000000000000000    4    0  3  1
        0.0000000000000094    4    2  0  2
        0.0000000000000000    4    1  1  2
        0.0000000000000094    4    0  2  2
        0.0000000000000000    4    1  0  3
        0.0000000000000000    4    0  1  3
        0.0000000000000169    4    0  0  4

        0.0000000000000001    5    5  0  0
        0.0000000000000000    5    4  1  0
        0.0000000000000001    5    3  2  0
        0.0000000000000000    5    2  3  0
        0.0000000000000000    5    1  4  0
        0.0000000000000000    5    0  5  0
        0.0000000000000001    5    4  0  1
        0.0000000000000000    5    3  1  1
        0.0000000000000000    5    2  2  1
        0.0000000000000000    5    1  3  1
        0.0000000000000001    5    0  4  1
        0.0000000000000000    5    3  0  2
        0.0000000000000000    5    2  1  2
        0.0000000000000000    5    1  2  2
        0.0000000000000000    5    0  3  2
        0.0000000000000003    5    2  0  3
        0.0000000000000000    5    1  1  3
        0.0000000000000002    5    0  2  3
        0.0000000000000000    5    1  0  4
        0.0000000000000000    5    0  1  4
        0.0000000000000006    5    0  0  5

SPHERE_EXACTNESS:
  Normal end of execution.

08-May-2023 22:51:08

sphere_exactness_test():
  Normal end of execution.

08-May-2023 22:51:08