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simplex_integrals_prb_output.txt
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16 January 2014 10:47:04 AM
SIMPLEX_INTEGRALS_PRB
C++ 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 0.000596497 0.000595238 1.2591e-06
2 1 4 1.21848e-05 1.32275e-05 1.04267e-06
4 1 2 1.3095e-05 1.32275e-05 1.3251e-07
0 4 2 0.000133047 0.000132275 7.71569e-07
0 0 3 0.00828332 0.00833333 5.00154e-05
1 3 4 3.44193e-06 3.6075e-06 1.65571e-07
0 1 0 0.0416317 0.0416667 3.49308e-05
2 3 2 6.43774e-06 6.61376e-06 1.76012e-07
3 1 0 0.00123659 0.00119048 4.6109e-05
4 4 1 1.22501e-06 1.2025e-06 2.25112e-08
4 2 4 1.71043e-07 1.85e-07 1.39575e-08
1 1 4 6.22057e-05 6.61376e-05 3.93189e-06
3 0 2 0.000283257 0.000297619 1.43624e-05
4 2 0 0.000138185 0.000132275 5.90954e-06
3 0 0 0.00855041 0.00833333 0.000217079
4 1 0 0.000628507 0.000595238 3.32689e-05
4 2 1 1.37709e-05 1.32275e-05 5.43377e-07
1 3 0 0.00118823 0.00119048 2.24457e-06
1 4 4 1.17146e-06 1.2025e-06 3.10369e-08
0 1 1 0.00827531 0.00833333 5.80222e-05
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 3 2 0 3 4.97645e-11 5.50596e-11 5.29507e-12
4 0 2 2 4 4 5.22484e-17 4.91957e-17 3.05266e-18
0 0 3 4 4 4 1.53487e-15 1.62346e-15 8.85885e-17
1 2 4 1 3 4 1.53435e-16 1.35288e-16 1.81466e-17
4 1 0 0 4 0 3.61894e-10 4.40477e-10 7.85823e-11
1 0 2 3 2 2 2.2951e-12 2.29415e-12 9.55383e-16
2 4 3 0 0 1 1.48624e-11 1.37649e-11 1.09747e-12
2 3 2 0 3 1 4.28496e-13 4.0485e-13 2.3646e-14
4 0 2 0 3 3 2.91592e-13 2.699e-13 2.16924e-14
3 1 2 2 1 0 1.75541e-11 1.83532e-11 7.9911e-13
2 0 1 4 0 3 1.26258e-11 1.37649e-11 1.13912e-12
1 2 2 1 1 4 2.73927e-13 2.699e-13 4.02706e-15
4 2 1 1 4 3 1.4812e-16 1.35288e-16 1.28314e-17
1 4 2 2 1 2 3.02289e-14 2.99889e-14 2.40072e-16
0 4 3 0 3 1 2.40506e-12 2.4291e-12 2.40428e-14
1 0 3 0 2 0 2.55856e-08 2.50521e-08 5.3345e-10
4 0 2 2 0 2 8.70665e-12 9.1766e-12 4.69946e-13
0 1 2 3 1 2 1.77891e-11 1.83532e-11 5.64083e-13
2 3 4 3 1 0 1.27687e-14 1.42053e-14 1.43659e-15
3 4 1 2 3 1 7.82207e-16 7.10263e-16 7.19439e-17
SIMPLEX_INTEGRALS_PRB
Normal end of execution.
16 January 2014 10:47:04 AM