13 September 2021 8:59:46.679 AM HYPERCUBE_INTEGRALS_TEST FORTRAN90 version Test the HYPERCUBE_INTEGRALS library. TEST01 Estimate monomial integrals using Monte Carlo over the interior of the unit hypercube in 3 dimensions. Number of sample points used is 4192 We randomly choose the exponents. Ex Ey Ez MC-Estimate Exact Error 2 1 0 0.166008 0.166667 0.66E-03 3 4 2 0.158114E-01 0.166667E-01 0.86E-03 2 3 4 0.154539E-01 0.166667E-01 0.12E-02 1 4 3 0.237585E-01 0.250000E-01 0.12E-02 3 4 4 0.925203E-02 0.100000E-01 0.75E-03 0 3 2 0.822877E-01 0.833333E-01 0.10E-02 0 1 1 0.250305 0.250000 0.31E-03 0 0 2 0.330344 0.333333 0.30E-02 4 0 1 0.971770E-01 0.100000 0.28E-02 2 0 3 0.786904E-01 0.833333E-01 0.46E-02 4 0 1 0.971770E-01 0.100000 0.28E-02 4 4 0 0.397547E-01 0.400000E-01 0.25E-03 4 4 2 0.126600E-01 0.133333E-01 0.67E-03 0 1 1 0.250305 0.250000 0.31E-03 0 3 0 0.247978 0.250000 0.20E-02 3 1 3 0.294457E-01 0.312500E-01 0.18E-02 1 2 3 0.397474E-01 0.416667E-01 0.19E-02 2 3 4 0.154539E-01 0.166667E-01 0.12E-02 2 2 2 0.355019E-01 0.370370E-01 0.15E-02 4 4 3 0.935727E-02 0.100000E-01 0.64E-03 TEST02 Estimate monomial integrals using Monte Carlo over the interior of the unit hypercube in 6 dimensions. Number of sample points used is 4192 We randomly choose the exponents. E1 E2 E3 E4 E5 E6 MC-Estimate Exact Error 0 3 2 1 0 1 0.201284E-01 0.208333E-01 0.70E-03 2 2 1 1 3 1 0.370284E-02 0.347222E-02 0.23E-03 2 3 2 2 2 2 0.105831E-02 0.102881E-02 0.30E-04 3 0 1 0 3 3 0.854993E-02 0.781250E-02 0.74E-03 2 1 1 3 1 0 0.106091E-01 0.104167E-01 0.19E-03 0 1 2 3 2 1 0.726335E-02 0.694444E-02 0.32E-03 0 1 1 0 0 1 0.126006 0.125000 0.10E-02 1 2 1 2 2 0 0.950199E-02 0.925926E-02 0.24E-03 0 3 1 0 3 1 0.171500E-01 0.156250E-01 0.15E-02 1 1 2 0 1 3 0.113803E-01 0.104167E-01 0.96E-03 1 0 0 1 3 1 0.316971E-01 0.312500E-01 0.45E-03 2 2 0 1 2 2 0.595467E-02 0.617284E-02 0.22E-03 0 1 0 3 0 0 0.121351 0.125000 0.36E-02 2 1 2 3 1 1 0.355616E-02 0.347222E-02 0.84E-04 0 3 3 3 2 0 0.537412E-02 0.520833E-02 0.17E-03 0 1 2 3 0 2 0.135650E-01 0.138889E-01 0.32E-03 1 1 3 0 1 0 0.342508E-01 0.312500E-01 0.30E-02 1 1 3 0 3 2 0.591625E-02 0.520833E-02 0.71E-03 0 0 0 2 3 3 0.208969E-01 0.208333E-01 0.64E-04 0 3 3 1 0 1 0.151965E-01 0.156250E-01 0.43E-03 HYPERCUBE_INTEGRALS_TEST Normal end of execution. 13 September 2021 8:59:46.682 AM