10-Jul-2023 20:41:10 triangle_symq_rule_test(): MATLAB/Octave version 5.2.0 Test triangle_symq_rule(). triangle_symq_rule_test01(): Quadrature rule for the triangle, given in barycentric coordinates. Precision p = 5 I W A B C 1 0.125939 0.101287 0.101287 0.797427 2 0.125939 0.797427 0.101287 0.101287 3 0.125939 0.101287 0.797427 0.101287 4 0.132394 0.470142 0.0597159 0.470142 5 0.132394 0.470142 0.470142 0.0597159 6 0.132394 0.0597159 0.470142 0.470142 7 0.225 0.333333 0.333333 0.333333 Weight Sum 1 triangle_symq_rule_test02(): Test the precision of a quadrature rule for the unit triangle, Stated precision of rule = 5 Number of quadrature points = 7 Degree Maximum error 0 1.110223024625157e-16 1 8.326672684688674e-17 2 6.938893903907228e-17 3 4.163336342344337e-17 4 2.775557561562891e-17 5 2.42861286636753e-17 6 8.188460569413455e-05 7 0.0002540522381792309 triangle_symq_rule_test03(): Test the precision of quadrature rules for the unit triangle, Check rules of precision p = 0 through 50 for error in approximating integrals of monomials. maximum maximum p absolute relative error error 0 0 0 1 5.551115123125783e-17 3.33066907387547e-16 2 5.551115123125783e-17 6.661338147750939e-16 3 8.326672684688674e-17 1.040834085586084e-15 4 8.326672684688674e-17 1.249000902703301e-15 5 1.110223024625157e-16 1.639313684798083e-15 6 8.326672684688674e-17 1.748601263784622e-15 7 1.110223024625157e-16 2.185751579730777e-15 8 1.110223024625157e-16 2.810252031082428e-15 9 2.220446049250313e-16 3.434752482434079e-15 10 5.551115123125783e-17 2.518818487118324e-15 11 5.551115123125783e-17 3.162834577574714e-15 12 6.661338147750939e-16 4.262215580475015e-15 13 5.551115123125783e-17 4.291814299783869e-15 14 2.220446049250313e-16 7.103692634125026e-15 15 2.220446049250313e-16 5.30825383648903e-15 16 2.775557561562891e-17 5.971785566050158e-15 17 1.110223024625157e-16 4.88525235889381e-15 18 2.220446049250313e-16 6.303551430830723e-15 19 2.220446049250313e-16 7.832276494035284e-15 20 3.33066907387547e-16 8.615504143438812e-15 21 1.110223024625157e-16 1.00806407492271e-14 22 5.551115123125783e-16 1.003949527678128e-14 23 1.110223024625157e-16 9.8879238130678e-15 24 1.110223024625157e-16 1.120522945263769e-14 25 4.440892098500626e-16 1.537442048671345e-14 26 1.110223024625157e-16 2.917978358940587e-14 27 1.110223024625157e-16 1.589621988727641e-14 28 6.661338147750939e-16 8.253489038045903e-15 29 5.551115123125783e-16 2.077114522047729e-14 30 2.775557561562891e-16 2.710331958866163e-14 31 2.220446049250313e-16 3.045480534424883e-14 32 3.33066907387547e-16 1.156421415869546e-14 33 3.33066907387547e-16 2.593303176368078e-14 34 1.27675647831893e-15 4.016318527755303e-14 35 6.661338147750939e-16 1.942842859248978e-14 36 4.440892098500626e-16 2.987800978848654e-14 37 3.885780586188048e-16 9.084088402959863e-15 38 6.661338147750939e-16 2.469378868052985e-14 39 2.220446049250313e-16 6.294444132581845e-14 40 7.216449660063518e-16 2.875174057170859e-14 41 1.665334536937735e-16 2.320617859658501e-14 42 2.220446049250313e-16 2.194902246066555e-14 43 1.443289932012704e-15 1.762955328592363e-14 44 1.221245327087672e-15 8.696656676049351e-14 45 6.938893903907228e-17 3.840205131428082e-14 46 2.220446049250313e-16 4.18259177292768e-14 47 2.220446049250313e-16 7.08912095692682e-14 48 7.771561172376096e-16 1.459634279762923e-13 49 2.775557561562891e-16 1.101739142625457e-13 50 4.440892098500626e-16 3.910413659546919e-14 triangle_symq_rule_test(): Normal end of execution. 10-Jul-2023 20:41:16