15 September 2021 3:23:19.489 PM SIMPLEX_INTEGRALS_TEST FORTRAN90 version Test the SIMPLEX_INTEGRALS library. 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 4 0 1 0.596497E-03 0.595238E-03 0.13E-05 2 1 4 0.121848E-04 0.132275E-04 0.10E-05 4 1 2 0.130950E-04 0.132275E-04 0.13E-06 0 4 2 0.133047E-03 0.132275E-03 0.77E-06 0 0 3 0.828332E-02 0.833333E-02 0.50E-04 1 3 4 0.344193E-05 0.360750E-05 0.17E-06 0 1 0 0.416317E-01 0.416667E-01 0.35E-04 2 3 2 0.643774E-05 0.661376E-05 0.18E-06 3 1 0 0.123659E-02 0.119048E-02 0.46E-04 4 4 1 0.122501E-05 0.120250E-05 0.23E-07 4 2 4 0.171043E-06 0.185000E-06 0.14E-07 1 1 4 0.622057E-04 0.661376E-04 0.39E-05 3 0 2 0.283257E-03 0.297619E-03 0.14E-04 4 2 0 0.138185E-03 0.132275E-03 0.59E-05 3 0 0 0.855041E-02 0.833333E-02 0.22E-03 4 1 0 0.628507E-03 0.595238E-03 0.33E-04 4 2 1 0.137709E-04 0.132275E-04 0.54E-06 1 3 0 0.118823E-02 0.119048E-02 0.22E-05 1 4 4 0.117146E-05 0.120250E-05 0.31E-07 0 1 1 0.827531E-02 0.833333E-02 0.58E-04 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 0 1 2 2 0 3 0.257688E-09 0.275298E-09 0.18E-10 3 0 1 1 3 3 0.653860E-12 0.607275E-12 0.47E-13 0 0 2 3 3 3 0.118842E-11 0.121455E-11 0.26E-13 1 2 3 1 3 3 0.391897E-14 0.355131E-14 0.37E-15 3 1 0 0 3 0 0.517444E-08 0.578126E-08 0.61E-09 1 0 1 3 2 2 0.179823E-10 0.183532E-10 0.37E-12 1 3 2 0 0 0 0.260882E-07 0.250521E-07 0.10E-08 2 3 2 0 2 1 0.240179E-11 0.229415E-11 0.11E-12 3 0 2 0 3 2 0.755389E-11 0.688245E-11 0.67E-12 2 1 2 2 0 0 0.128840E-08 0.128472E-08 0.37E-11 1 0 1 3 0 3 0.368686E-09 0.412947E-09 0.44E-10 0 2 2 1 1 3 0.175881E-10 0.183532E-10 0.77E-12 3 1 0 1 3 2 0.331905E-11 0.344122E-11 0.12E-12 0 3 1 2 1 1 0.137878E-09 0.137649E-09 0.23E-12 0 3 2 0 3 0 0.842774E-09 0.825894E-09 0.17E-10 1 0 3 0 2 0 0.255856E-07 0.250521E-07 0.53E-09 3 0 1 2 0 2 0.261412E-09 0.275298E-09 0.14E-10 0 1 1 2 1 2 0.629593E-09 0.642362E-09 0.13E-10 1 2 3 3 1 0 0.339067E-11 0.344122E-11 0.51E-13 2 3 0 1 2 1 0.194269E-10 0.183532E-10 0.11E-11 SIMPLEX_INTEGRALS_TEST Normal end of execution. 15 September 2021 3:23:19.493 PM