08-Jan-2022 09:47:34 sphere_exactness_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test sphere_exactness(). 08-Jan-2022 09:47:34 SPHERE_EXACTNESS MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 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 0.0000000000000004 1 1 0 0 0.0000000000000001 1 0 1 0 0.0000000000000000 1 0 0 1 0.0000000000000000 2 2 0 0 0.0000000000000000 2 1 1 0 0.0000000000000009 2 0 2 0 0.0000000000000001 2 1 0 1 0.0000000000000000 2 0 1 1 0.0000000000000009 2 0 0 2 0.0000000000000001 3 3 0 0 0.0000000000000001 3 2 1 0 0.0000000000000001 3 1 2 0 0.0000000000000007 3 0 3 0 0.0000000000000000 3 2 0 1 0.0000000000000002 3 1 1 1 0.0000000000000001 3 0 2 1 0.0000000000000001 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 0.0000000000000000 4 2 2 0 0.0000000000000000 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 0.0000000000000001 4 2 0 2 0.0000000000000000 4 1 1 2 0.0000000000000003 4 0 2 2 0.0000000000000002 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 0.0000000000000001 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 0.0855033220107906 5 0 1 4 0.0000000000000001 5 0 0 5 SPHERE_EXACTNESS: Normal end of execution. 08-Jan-2022 09:47:34 08-Jan-2022 09:47:34 SPHERE_EXACTNESS MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 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 0.0000000000000000 0 0 0 0 0.0000000000000004 1 1 0 0 0.0000000000000001 1 0 1 0 0.0000000000000004 1 0 0 1 0.0000000000000018 2 2 0 0 0.0000000000000001 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 0.0000000000000001 3 2 1 0 0.0000000000000002 3 1 2 0 0.0000000000000001 3 0 3 0 0.0000000000000001 3 2 0 1 0.0000000000000000 3 1 1 1 0.0000000000000002 3 0 2 1 0.0000000000000001 3 1 0 2 0.0000000000000000 3 0 1 2 0.0000000000000006 3 0 0 3 0.0000000000000169 4 4 0 0 0.0000000000000001 4 3 1 0 0.0000000000000092 4 2 2 0 0.0000000000000000 4 1 3 0 0.0000000000000169 4 0 4 0 0.0000000000000001 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 0.0000000000000164 4 0 0 4 0.0000000000000002 5 5 0 0 0.0000000000000001 5 4 1 0 0.0000000000000001 5 3 2 0 0.0000000000000000 5 2 3 0 0.0000000000000001 5 1 4 0 0.0000000000000001 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 0.0000000000000002 5 2 0 3 0.0000000000000000 5 1 1 3 0.0000000000000002 5 0 2 3 0.0000000000000001 5 1 0 4 0.0000000000000000 5 0 1 4 0.0000000000000002 5 0 0 5 SPHERE_EXACTNESS: Normal end of execution. 08-Jan-2022 09:47:34 sphere_exactness_test(): Normal end of execution. 08-Jan-2022 09:47:34