1 June 2024 9:52:16.968 AM simplex_integrals_test(): FORTRAN90 version Test SIMPLEX_INTEGRALS(). TEST01 Estimate monomial integrals using Monte Carlo over the interior of the unit simplex in M dimensions. Number of sample points used is 4192 We randomly choose the exponents. Ex Ey Ez MC-Estimate Exact Error 1 2 0 0.290197E-02 0.277778E-02 0.12E-03 4 2 1 0.132687E-04 0.132275E-04 0.41E-07 3 4 2 0.630395E-06 0.601251E-06 0.29E-07 4 1 3 0.350605E-05 0.360750E-05 0.10E-06 3 1 0 0.118689E-02 0.119048E-02 0.36E-05 3 1 1 0.147435E-03 0.148810E-03 0.14E-05 4 4 3 0.411056E-07 0.396429E-07 0.15E-08 4 0 4 0.135166E-04 0.144300E-04 0.91E-06 1 3 1 0.156265E-03 0.148810E-03 0.75E-05 3 3 0 0.103309E-03 0.992063E-04 0.41E-05 3 3 4 0.140044E-06 0.138750E-06 0.13E-08 1 3 3 0.100063E-04 0.992063E-05 0.86E-07 1 4 2 0.136857E-04 0.132275E-04 0.46E-06 4 3 0 0.405778E-04 0.396825E-04 0.90E-06 3 4 2 0.630395E-06 0.601251E-06 0.29E-07 0 4 3 0.388708E-04 0.396825E-04 0.81E-06 2 3 3 0.183269E-05 0.180375E-05 0.29E-07 1 0 3 0.116920E-02 0.119048E-02 0.21E-04 0 3 1 0.120883E-02 0.119048E-02 0.18E-04 1 2 3 0.331768E-04 0.330688E-04 0.11E-06 test02() Estimate monomial integrals using Monte Carlo over the interior of the unit simplex in M dimensions. Number of sample points used is 4192 We randomly choose the exponents. E1 E2 E3 E4 E5 E6 MC-Estimate Exact Error 1 1 1 1 0 3 0.912114E-09 0.963543E-09 0.51E-10 3 3 1 0 2 2 0.402601E-12 0.404850E-12 0.22E-14 2 2 3 3 0 1 0.382748E-12 0.404850E-12 0.22E-13 3 3 0 0 1 0 0.624779E-08 0.578126E-08 0.47E-09 1 0 0 0 2 0 0.555395E-05 0.551146E-05 0.42E-07 1 2 3 0 3 0 0.601670E-10 0.550596E-10 0.51E-11 0 0 1 0 3 0 0.185196E-05 0.165344E-05 0.20E-06 0 3 2 2 2 1 0.235513E-11 0.229415E-11 0.61E-13 3 0 1 0 3 2 0.477609E-10 0.550596E-10 0.73E-11 0 2 2 1 1 2 0.978579E-10 0.917660E-10 0.61E-11 2 3 1 1 0 3 0.312344E-11 0.344122E-11 0.32E-12 3 0 0 1 2 2 0.253698E-09 0.275298E-09 0.22E-10 1 0 0 3 3 0 0.621982E-08 0.578126E-08 0.44E-09 0 3 2 2 0 0 0.378647E-08 0.385417E-08 0.68E-10 0 0 3 1 0 1 0.148468E-06 0.150313E-06 0.18E-08 1 0 1 2 1 1 0.421297E-08 0.417535E-08 0.38E-10 1 1 1 1 3 1 0.678797E-10 0.688245E-10 0.94E-12 2 1 1 1 2 0 0.646566E-09 0.642362E-09 0.42E-11 1 1 2 3 1 0 0.133157E-09 0.137649E-09 0.45E-11 0 1 2 2 1 1 0.634962E-09 0.642362E-09 0.74E-11 simplex_integrals_test(): Normal end of execution. 1 June 2024 9:52:16.972 AM