12-Jul-2023 20:25:01 pyramid_jaskowiec_rule_test(): MATLAB/Octave version 5.2.0 Test pyramid_jaskowiec_rule(). pyramid_jaskowiec_rule_test01(): Quadrature rule for the unit pyramid, Precision p = 5 I W X Y Z 1 0.0677344 0 0 0.730709 2 0.0647089 0 0 0.00619723 3 0.177272 0 0 0.268446 4 0.0591078 0.753441 0 0.125 5 0.0591078 0 0.753441 0.125 6 0.0591078 -0.753441 0 0.125 7 0.0591078 0 -0.753441 0.125 8 0.0653755 0.417152 0.417152 0.421822 9 0.0653755 -0.417152 0.417152 0.421822 10 0.0653755 0.417152 -0.417152 0.421822 11 0.0653755 -0.417152 -0.417152 0.421822 12 0.048088 0.674023 0.674023 0.0657957 13 0.048088 -0.674023 0.674023 0.0657957 14 0.048088 0.674023 -0.674023 0.0657957 15 0.048088 -0.674023 -0.674023 0.0657957 Weight Sum 1 pyramid_jaskowiec_rule_test02(): Test the precision of a quadrature rule for the unit pyramid, Stated precision of rule = 5 Number of quadrature points = 15 Degree Maximum error 0 0 1 1.665334536937735e-16 2 5.551115123125783e-17 3 1.110223024625157e-16 4 1.196959198423997e-16 5 3.816391647148976e-17 6 0.008772414128785599 7 0.0006056836049176022 pyramid_jaskowiec_rule_test03(): Test the precision of quadrature rules for the unit pyramid, Check rules of precision p = 0 through 20 for error in approximating integrals of monomials. maximum maximum p absolute relative error error 0 0 0 1 1.665334536937735e-16 4.996003610813202e-16 2 2.220446049250313e-16 6.661338147750936e-16 3 2.220446049250313e-16 1.665334536937738e-15 4 2.220446049250313e-16 9.699272635055414e-15 5 1.665334536937735e-16 9.426053687589064e-15 6 2.324529457808922e-16 7.32226779209864e-14 7 4.388850394221322e-16 7.340027023683954e-14 8 7.062492951570576e-16 6.120165409622123e-13 9 1.302777330458582e-15 1.064853771567006e-12 10 1.304945734803553e-15 4.705225162108368e-12 11 1.455866677213535e-15 5.078651854505006e-12 12 5.467848396278896e-15 1.782916723149741e-11 13 1.311342527621218e-14 3.555959305640025e-11 14 1.311342527621218e-14 2.409713164897596e-10 15 1.621337612778273e-14 8.912397545341386e-10 16 1.621348454799998e-14 1.501765526846641e-09 17 7.491251542701693e-14 4.892706124214592e-09 18 1.36161698235937e-13 2.317871994213597e-08 19 1.361616779071463e-13 7.986468620093834e-08 20 1.544540455819879e-13 1.478863313753901e-07 pyramid_jaskowiec_rule_test(): Normal end of execution. 12-Jul-2023 20:25:06