Tue Oct 19 11:32:47 2021 DISK_MONTE_CARLO_TEST Python version: 3.6.9 Test DISK_MONTE_CARLO(). 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_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. DISK01_AREA_TEST Python version: 3.6.9 DISK01_AREA returns the area of the unit disk. DISK01_AREA() = 3.14159 DISK01_AREA_TEST Normal end of execution. DISK01_MONOMIAL_INTEGRAL_TEST Python version: 3.6.9 DISK01_MONOMIAL_INTEGRAL computes monomial integrals over the interior of the unit disk in 2D. Compare with a Monte Carlo value. Number of sample points used is 4192 If any exponent is odd, the integral is zero. We will restrict this test to randomly chosen even exponents. Ex Ey MC-Estimate Exact Error 8 6 0.00102127 0.000958738 6.3e-05 0 4 0.410352 0.392699 0.018 4 6 0.00642653 0.00613592 0.00029 4 8 0.00324652 0.00306796 0.00018 6 0 0.238229 0.245437 0.0072 2 2 0.13234 0.1309 0.0014 0 6 0.261312 0.245437 0.016 2 8 0.0152066 0.0143172 0.00089 2 0 0.775175 0.785398 0.01 8 4 0.00320991 0.00306796 0.00014 8 0 0.164914 0.171806 0.0069 0 2 0.800989 0.785398 0.016 2 2 0.13234 0.1309 0.0014 0 4 0.410352 0.392699 0.018 2 2 0.13234 0.1309 0.0014 8 6 0.00102127 0.000958738 6.3e-05 8 8 0.000400569 0.000372843 2.8e-05 2 6 0.0256515 0.0245437 0.0011 4 0 0.385155 0.392699 0.0075 4 4 0.0152482 0.0147262 0.00052 DISK01_MONOMIAL_INTEGRAL_TEST: Normal end of execution. DISK01_SAMPLE_TEST Python version: 3.6.9 DISK01_SAMPLE samples the unit disk. Sample points in the unit disk. Row: 0 1 Col 0 : 0.167249 -0.804224 1 : -0.781908 0.260331 2 : 0.0499587 -0.296023 3 : 0.275421 0.561051 4 : 0.334352 -0.0703588 5 : -0.51778 -0.462126 6 : 0.22616 -0.779508 7 : 0.431298 -0.710035 8 : 0.0236414 0.735668 9 : 0.516439 -0.313041 DISK01_SAMPLE_TEST Normal end of execution. DISK_MONTE_CARLO_TEST: Normal end of execution. Tue Oct 19 11:32:48 2021