08-Jan-2022 10:30:50 tetrahedron_exactness_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test tetrahedron_exactness(). 08-Jan-2022 10:30:50 TETRAHEDRON_EXACTNESS MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Investigate the polynomial exactness of a quadrature rule for the tetrahedron by integrating all monomials of a given degree. The rule will be adjusted to the unit tetrahedron. TETRAHEDRON_EXACTNESS: User input: Quadrature rule X file = "keast7_x.txt". Quadrature rule W file = "keast7_w.txt". Quadrature rule R file = "keast7_r.txt". Maximum total degree to check = 7 Spatial dimension = 3 Number of points = 24 Error Degree Exponents 0.0000000000000004 0 0 0 0 0.0000000000000004 1 1 0 0 0.0000000000000004 1 0 1 0 0.0000000000000004 1 0 0 1 0.0000000000000007 2 2 0 0 0.0000000000000004 2 1 1 0 0.0000000000000004 2 0 2 0 0.0000000000000004 2 1 0 1 0.0000000000000002 2 0 1 1 0.0000000000000007 2 0 0 2 0.0000000000000007 3 3 0 0 0.0000000000000002 3 2 1 0 0.0000000000000002 3 1 2 0 0.0000000000000007 3 0 3 0 0.0000000000000002 3 2 0 1 0.0000000000000002 3 1 1 1 0.0000000000000002 3 0 2 1 0.0000000000000002 3 1 0 2 0.0000000000000002 3 0 1 2 0.0000000000000009 3 0 0 3 0.0000000000000009 4 4 0 0 0.0000000000000004 4 3 1 0 0.0000000000000004 4 2 2 0 0.0000000000000004 4 1 3 0 0.0000000000000009 4 0 4 0 0.0000000000000004 4 3 0 1 0.0000000000000002 4 2 1 1 0.0000000000000002 4 1 2 1 0.0000000000000004 4 0 3 1 0.0000000000000004 4 2 0 2 0.0000000000000002 4 1 1 2 0.0000000000000004 4 0 2 2 0.0000000000000004 4 1 0 3 0.0000000000000004 4 0 1 3 0.0000000000000009 4 0 0 4 0.0000000000000016 5 5 0 0 0.0000000000000004 5 4 1 0 0.0000000000000004 5 3 2 0 0.0000000000000004 5 2 3 0 0.0000000000000004 5 1 4 0 0.0000000000000016 5 0 5 0 0.0000000000000002 5 4 0 1 0.0000000000000004 5 3 1 1 0.0000000000000004 5 2 2 1 0.0000000000000004 5 1 3 1 0.0000000000000004 5 0 4 1 0.0000000000000004 5 3 0 2 0.0000000000000004 5 2 1 2 0.0000000000000004 5 1 2 2 0.0000000000000004 5 0 3 2 0.0000000000000004 5 2 0 3 0.0000000000000004 5 1 1 3 0.0000000000000004 5 0 2 3 0.0000000000000004 5 1 0 4 0.0000000000000002 5 0 1 4 0.0000000000000016 5 0 0 5 0.0000000000000018 6 6 0 0 0.0000000000000002 6 5 1 0 0.0000000000000004 6 4 2 0 0.0000000000000002 6 3 3 0 0.0000000000000004 6 2 4 0 0.0000000000000002 6 1 5 0 0.0000000000000020 6 0 6 0 0.0000000000000002 6 5 0 1 0.0000000000000004 6 4 1 1 0.0000000000000007 6 3 2 1 0.0000000000000007 6 2 3 1 0.0000000000000004 6 1 4 1 0.0000000000000007 6 0 5 1 0.0000000000000004 6 4 0 2 0.0000000000000007 6 3 1 2 0.0000000000000007 6 2 2 2 0.0000000000000007 6 1 3 2 0.0000000000000004 6 0 4 2 0.0000000000000002 6 3 0 3 0.0000000000000007 6 2 1 3 0.0000000000000007 6 1 2 3 0.0000000000000002 6 0 3 3 0.0000000000000004 6 2 0 4 0.0000000000000002 6 1 1 4 0.0000000000000004 6 0 2 4 0.0000000000000002 6 1 0 5 0.0000000000000002 6 0 1 5 0.0000000000000020 6 0 0 6 0.0022808296896801 7 7 0 0 0.0053219359425806 7 6 1 0 0.0074174276490875 7 5 2 0 0.0043763213961837 7 4 3 0 0.0043763213961837 7 3 4 0 0.0074174276490875 7 2 5 0 0.0053219359425806 7 1 6 0 0.0022808296896801 7 0 7 0 0.0053219359425806 7 6 0 1 0.0085483801786557 7 5 1 1 0.0119790870284417 7 4 2 1 0.0175052855847353 7 3 3 1 0.0119790870284419 7 2 4 1 0.0085483801786557 7 1 5 1 0.0053219359425806 7 0 6 1 0.0074174276490875 7 5 0 2 0.0119790870284419 7 4 1 2 0.0005749385800538 7 3 2 2 0.0005749385800538 7 2 3 2 0.0119790870284419 7 1 4 2 0.0074174276490873 7 0 5 2 0.0043763213961836 7 4 0 3 0.0175052855847357 7 3 1 3 0.0005749385800536 7 2 2 3 0.0175052855847357 7 1 3 3 0.0043763213961836 7 0 4 3 0.0043763213961837 7 3 0 4 0.0119790870284419 7 2 1 4 0.0119790870284417 7 1 2 4 0.0043763213961839 7 0 3 4 0.0074174276490873 7 2 0 5 0.0085483801786557 7 1 1 5 0.0074174276490875 7 0 2 5 0.0053219359425807 7 1 0 6 0.0053219359425805 7 0 1 6 0.0022808296896801 7 0 0 7 TETRAHEDRON_EXACTNESS: Normal end of execution. 08-Jan-2022 10:30:50 tetrahedron_exactness_test(): Normal end of execution. 08-Jan-2022 10:30:50