Tue Oct 19 17:25:07 2021 tetrahedron_integrals_test(): Python version: 3.6.9 Test tetrahedron_integrals(). i4vec_print_test Python version: 3.6.9 i4vec_print prints an I4VEC. Here is an I4VEC: 0 91 1 92 2 93 3 94 i4vec_print_test: Normal end of execution. i4vec_transpose_print_test Python version: 3.6.9 i4vec_transpose_print prints an I4VEC with 5 entries to a row, and an optional title. My array: 1 2 3 4 5 6 7 8 9 10 11 12 i4vec_transpose_print_test: Normal end of execution. r8mat_print_test Python version: 3.6.9 r8mat_print prints an R8MAT. Here is an R8MAT: Col: 0 1 2 3 4 Row 0 : 11 12 13 14 15 1 : 21 22 23 24 25 2 : 31 32 33 34 35 3 : 41 42 43 44 45 Col: 5 Row 0 : 16 1 : 26 2 : 36 3 : 46 r8mat_print_test: Normal end of execution. r8mat_print_some_test Python version: 3.6.9 r8mat_print_some prints some of an R8MAT. Here is an R8MAT: Col: 3 4 5 Row 0 : 14 15 16 1 : 24 25 26 2 : 34 35 36 r8mat_print_some_test: Normal end of execution. r8mat_transpose_print_test Python version: 3.6.9 r8mat_transpose_print prints an R8MAT. Here is an R8MAT, transposed: Row: 0 1 2 3 Col 0 : 11 21 31 41 1 : 12 22 32 42 2 : 13 23 33 43 r8mat_transpose_print_test: Normal end of execution. r8mat_transpose_print_some_test Python version: 3.6.9 r8mat_transpose_print_some prints some of an R8MAT, transposed. R8MAT, rows 0:2, cols 3:5: Row: 0 1 2 Col 3 : 14 24 34 4 : 15 25 35 5 : 16 26 36 r8mat_transpose_print_some_test: Normal end of execution. r8vec_print_test Python version: 3.6.9 r8vec_print prints an R8VEC. Here is an R8VEC: 0: 123.456 1: 5e-06 2: -1e+06 3: 3.14159 r8vec_print_test: Normal end of execution. tetrahedron_monomial_integral_test Python version: 3.6.9 tetrahedron_monomial_integral returns the integral of a monomial over the interior of the unit tetrahedron in 3D. Compare with a Monte Carlo estimate. Number of sample points used is 4192 Ex Ey Ez MC-Estimate Exact Error 0 0 0 0.166667 0.166667 0 0 0 1 0.0413109 0.0416667 0.00036 0 0 2 0.0163449 0.0166667 0.00032 0 0 3 0.00808385 0.00833333 0.00025 0 1 0 0.0409579 0.0416667 0.00071 0 1 1 0.00816587 0.00833333 0.00017 0 1 2 0.00271794 0.00277778 6e-05 0 1 3 0.00116615 0.00119048 2.4e-05 0 2 0 0.0161565 0.0166667 0.00051 0 2 1 0.00267418 0.00277778 0.0001 0 2 2 0.000759419 0.000793651 3.4e-05 0 2 3 0.000284213 0.000297619 1.3e-05 0 3 0 0.0080351 0.00833333 0.0003 0 3 1 0.00113853 0.00119048 5.2e-05 0 3 2 0.00028182 0.000297619 1.6e-05 0 3 3 9.30388e-05 9.92063e-05 6.2e-06 1 0 0 0.0417751 0.0416667 0.00011 1 0 1 0.00829186 0.00833333 4.1e-05 1 0 2 0.00272825 0.00277778 5e-05 1 0 3 0.00114893 0.00119048 4.2e-05 1 1 0 0.00836884 0.00833333 3.6e-05 1 1 1 0.00137295 0.00138889 1.6e-05 1 1 2 0.00038826 0.000396825 8.6e-06 1 1 3 0.000144362 0.00014881 4.4e-06 1 2 0 0.00275991 0.00277778 1.8e-05 1 2 1 0.000385165 0.000396825 1.2e-05 1 2 2 9.48157e-05 9.92063e-05 4.4e-06 1 2 3 3.13521e-05 3.30688e-05 1.7e-06 1 3 0 0.00117153 0.00119048 1.9e-05 1 3 1 0.000142333 0.00014881 6.5e-06 1 3 2 3.09205e-05 3.30688e-05 2.1e-06 1 3 3 9.15369e-06 9.92063e-06 7.7e-07 2 0 0 0.0166633 0.0166667 3.4e-06 2 0 1 0.00279178 0.00277778 1.4e-05 2 0 2 0.000794593 0.000793651 9.4e-07 2 0 3 0.000294587 0.000297619 3e-06 2 1 0 0.00284726 0.00277778 6.9e-05 2 1 1 0.000400841 0.000396825 4e-06 2 1 2 9.93255e-05 9.92063e-05 1.2e-07 2 1 3 3.27928e-05 3.30688e-05 2.8e-07 2 2 0 0.000814053 0.000793651 2e-05 2 2 1 9.93597e-05 9.92063e-05 1.5e-07 2 2 2 2.17471e-05 2.20459e-05 3e-07 2 2 3 6.46226e-06 6.61376e-06 1.5e-07 2 3 0 0.000302738 0.000297619 5.1e-06 2 3 1 3.26631e-05 3.30688e-05 4.1e-07 2 3 2 6.38523e-06 6.61376e-06 2.3e-07 2 3 3 1.71838e-06 1.80375e-06 8.5e-08 3 0 0 0.00823598 0.00833333 9.7e-05 3 0 1 0.00119745 0.00119048 7e-06 3 0 2 0.000301253 0.000297619 3.6e-06 3 0 3 0.000100151 9.92063e-05 9.4e-07 3 1 0 0.00123162 0.00119048 4.1e-05 3 1 1 0.000152023 0.00014881 3.2e-06 3 1 2 3.36124e-05 3.30688e-05 5.4e-07 3 1 3 1.00416e-05 9.92063e-06 1.2e-07 3 2 0 0.000312516 0.000297619 1.5e-05 3 2 1 3.39211e-05 3.30688e-05 8.5e-07 3 2 2 6.69445e-06 6.61376e-06 8.1e-08 3 2 3 1.81607e-06 1.80375e-06 1.2e-08 3 3 0 0.000103802 9.92063e-05 4.6e-06 3 3 1 1.00819e-05 9.92063e-06 1.6e-07 3 3 2 1.79555e-06 1.80375e-06 8.2e-09 3 3 3 4.45173e-07 4.50938e-07 5.8e-09 tetrahedron01_monomial_integral_test: Normal end of execution. tetrahedron01_sample_test Python version: 3.6.9 tetrahedron01_sample samples the unit tetrahedron. Sample points in the unit tetrahedron. Row: 0 1 2 Col 0 : 0.14272 0.030888 0.795697 1 : 0.240621 0.195189 0.535981 2 : 0.0969643 0.163323 0.0664414 3 : 0.171304 0.267235 0.0977553 4 : 0.208894 0.129978 0.351678 5 : 0.263002 0.0445979 0.402232 6 : 0.0980221 0.173118 0.109839 7 : 0.176119 0.238998 0.0874054 8 : 0.372658 0.148236 0.262291 9 : 0.347704 0.528016 0.0112992 tetrahedron01_sample_test Normal end of execution. tetrahedron01_volume_test Python version: 3.6.9 tetrahedron01_volume returns the volume of the unit tetrahedron. tetrahedron01_volume() = 0.166667 tetrahedron01_volume_test Normal end of execution. tetrahedron_integrals_test(): Normal end of execution. Tue Oct 19 17:25:07 2021