6 October 2025 6:36:33.270 PM 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 3 4 0.365587E-05 0.360750E-05 0.48E-07 0 1 0 0.413355E-01 0.416667E-01 0.33E-03 1 3 1 0.148652E-03 0.148810E-03 0.16E-06 3 3 1 0.995804E-05 0.992063E-05 0.37E-07 1 3 2 0.335253E-04 0.330688E-04 0.46E-06 4 1 4 0.117433E-05 0.120250E-05 0.28E-07 2 2 4 0.242735E-05 0.240500E-05 0.22E-07 4 1 3 0.360019E-05 0.360750E-05 0.73E-08 0 1 2 0.274856E-02 0.277778E-02 0.29E-04 3 4 4 0.420468E-07 0.396429E-07 0.24E-08 2 0 3 0.283638E-03 0.297619E-03 0.14E-04 1 4 0 0.576371E-03 0.595238E-03 0.19E-04 3 2 0 0.299376E-03 0.297619E-03 0.18E-05 0 2 2 0.783719E-03 0.793651E-03 0.99E-05 0 0 2 0.161426E-01 0.166667E-01 0.52E-03 4 0 4 0.136261E-04 0.144300E-04 0.80E-06 0 3 1 0.116551E-02 0.119048E-02 0.25E-04 4 4 0 0.143306E-04 0.144300E-04 0.99E-07 2 1 3 0.327613E-04 0.330688E-04 0.31E-06 2 1 3 0.327613E-04 0.330688E-04 0.31E-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 3 3 2 2 2 3 0.304937E-16 0.338220E-16 0.33E-17 1 2 2 1 2 2 0.747178E-12 0.764716E-12 0.18E-13 3 2 2 0 2 0 0.381836E-10 0.367064E-10 0.15E-11 3 1 2 0 3 2 0.401960E-12 0.404850E-12 0.29E-14 2 1 1 1 2 1 0.430069E-10 0.458830E-10 0.29E-11 0 2 1 1 3 2 0.180096E-10 0.183532E-10 0.34E-12 1 2 2 3 0 0 0.252897E-09 0.275298E-09 0.22E-10 1 2 2 3 1 0 0.172121E-10 0.183532E-10 0.11E-11 2 0 1 0 2 0 0.982459E-07 0.100208E-06 0.20E-08 1 1 1 1 2 1 0.305153E-09 0.321181E-09 0.16E-10 2 2 2 3 3 1 0.214193E-14 0.236754E-14 0.23E-15 3 2 2 0 1 3 0.400553E-12 0.404850E-12 0.43E-14 3 2 1 3 2 0 0.356542E-12 0.404850E-12 0.48E-13 0 3 0 0 0 0 0.179177E-04 0.165344E-04 0.14E-05 2 1 0 1 0 0 0.527939E-06 0.551146E-06 0.23E-07 3 0 3 3 3 2 0.112491E-14 0.106539E-14 0.60E-16 1 0 1 1 1 1 0.252107E-07 0.250521E-07 0.16E-09 1 0 2 1 2 0 0.857991E-08 0.835070E-08 0.23E-09 0 3 0 2 1 1 0.179704E-08 0.192709E-08 0.13E-09 0 3 2 0 3 3 0.127052E-11 0.121455E-11 0.56E-13 simplex_integrals_test(): Normal end of execution. 6 October 2025 6:36:33.274 PM