Thu Sep 13 17:09:36 2018 SIMPLEX_COORDINATES_TEST Python version: 3.6.5 Test the SIMPLEX_COORDINATES library. R8_FACTORIAL_TEST Python version: 3.6.5 R8_FACTORIAL evaluates the factorial function. N Exact Computed 0 1 1 1 1 1 2 2 2 3 6 6 4 24 24 5 120 120 6 720 720 7 5040 5040 8 40320 40320 9 362880 362880 10 3628800 3628800 11 39916800 39916800 12 479001600 479001600 13 6227020800 6227020800 14 87178291200 87178291200 15 1307674368000 1307674368000 16 20922789888000 20922789888000 17 355687428096000 355687428096000 18 6402373705728000 6402373705728000 19 1.21645100408832e+17 1.21645100408832e+17 20 2.43290200817664e+18 2.43290200817664e+18 25 1.551121004333099e+25 1.551121004333099e+25 50 3.041409320171338e+64 3.041409320171338e+64 100 9.332621544394415e+157 9.33262154439441e+157 150 5.713383956445855e+262 5.71338395644585e+262 R8_FACTORIAL_TEST Normal end of execution. R8_FACTORIAL_VALUES_TEST: Python version: 3.6.5 R8_FACTORIAL_VALUES returns values of the real factorial function. N R8_FACTORIAL(N) 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 5040 8 40320 9 362880 10 3.6288e+06 11 3.99168e+07 12 4.79002e+08 13 6.22702e+09 14 8.71783e+10 15 1.30767e+12 16 2.09228e+13 17 3.55687e+14 18 6.40237e+15 19 1.21645e+17 20 2.4329e+18 25 1.55112e+25 50 3.04141e+64 100 9.33262e+157 150 5.71338e+262 R8_FACTORIAL_VALUES_TEST: Normal end of execution. R8MAT_TRANSPOSE_PRINT_TEST Python version: 3.6.5 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: 3.6.5 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. SIMPLEX_COORDINATES1_TEST Python version: 3.6.5 Test SIMPLEX_COORDINATES1 Simplex vertex coordinates: Row: 0 1 2 Col 0 : 1 0 0 1 : -0.333333 0.942809 0 2 : -0.333333 -0.471405 0.816497 3 : -0.333333 -0.471405 -0.816497 Side length = 1.63299 Volume = 0.5132 Expected volume = 0.5132 Dot product matrix: Row: 0 1 2 3 Col 0 : 1 -0.333333 -0.333333 -0.333333 1 : -0.333333 1 -0.333333 -0.333333 2 : -0.333333 -0.333333 1 -0.333333 3 : -0.333333 -0.333333 -0.333333 1 SIMPLEX_COORDINATES1_TEST Normal end of execution. SIMPLEX_COORDINATES1_TEST Python version: 3.6.5 Test SIMPLEX_COORDINATES1 Simplex vertex coordinates: Row: 0 1 2 3 Col 0 : 1 0 0 0 1 : -0.25 0.968246 0 0 2 : -0.25 -0.322749 0.912871 0 3 : -0.25 -0.322749 -0.456435 0.790569 4 : -0.25 -0.322749 -0.456435 -0.790569 Side length = 1.58114 Volume = 0.145577 Expected volume = 0.145577 Dot product matrix: Row: 0 1 2 3 4 Col 0 : 1 -0.25 -0.25 -0.25 -0.25 1 : -0.25 1 -0.25 -0.25 -0.25 2 : -0.25 -0.25 1 -0.25 -0.25 3 : -0.25 -0.25 -0.25 1 -0.25 4 : -0.25 -0.25 -0.25 -0.25 1 SIMPLEX_COORDINATES1_TEST Normal end of execution. SIMPLEX_COORDINATES2_TEST Python version: 3.6.5 Test SIMPLEX_COORDINATES2 Simplex vertex coordinates: Row: 0 1 2 Col 0 : 0.96225 -0.19245 -0.19245 1 : -0.19245 0.96225 -0.19245 2 : -0.19245 -0.19245 0.96225 3 : -0.57735 -0.57735 -0.57735 Side length = 1.63299 Volume = 0.5132 Expected volume = 0.5132 Dot product matrix: Row: 0 1 2 3 Col 0 : 1 -0.333333 -0.333333 -0.333333 1 : -0.333333 1 -0.333333 -0.333333 2 : -0.333333 -0.333333 1 -0.333333 3 : -0.333333 -0.333333 -0.333333 1 SIMPLEX_COORDINATES2_TEST Normal end of execution. SIMPLEX_COORDINATES2_TEST Python version: 3.6.5 Test SIMPLEX_COORDINATES2 Simplex vertex coordinates: Row: 0 1 2 3 Col 0 : 0.963525 -0.154508 -0.154508 -0.154508 1 : -0.154508 0.963525 -0.154508 -0.154508 2 : -0.154508 -0.154508 0.963525 -0.154508 3 : -0.154508 -0.154508 -0.154508 0.963525 4 : -0.5 -0.5 -0.5 -0.5 Side length = 1.58114 Volume = 0.145577 Expected volume = 0.145577 Dot product matrix: Row: 0 1 2 3 4 Col 0 : 1 -0.25 -0.25 -0.25 -0.25 1 : -0.25 1 -0.25 -0.25 -0.25 2 : -0.25 -0.25 1 -0.25 -0.25 3 : -0.25 -0.25 -0.25 1 -0.25 4 : -0.25 -0.25 -0.25 -0.25 1 SIMPLEX_COORDINATES2_TEST Normal end of execution. SIMPLEX_VOLUME_TEST Python version: 3.6.5 SIMPLEX_VOLUME returns the volume of a simplex in M dimensions. Triangle: Row: 0 1 Col 0 : 0 0 1 : 7 2 2 : 4 4 Volume = 10 Tetrahedron: Row: 0 1 2 Col 0 : 0 0 0 1 : 7 2 0 2 : 4 4 0 3 : 0 0 6 Volume = 20 SIMPLEX_VOLUME_TEST Normal end of execution. SIMPLEX01_VOLUME_TEST Python version: 3.6.5 SIMPLEX01_VOLUME returns the volume of the unit simplex in M dimensions. M Volume 1 1 2 0.5 3 0.166667 4 0.0416667 5 0.00833333 6 0.00138889 7 0.000198413 8 2.48016e-05 9 2.75573e-06 SIMPLEX01_VOLUME_TEST Normal end of execution. SIMPLEX_COORDINATES_TEST: Normal end of execution. Thu Sep 13 17:09:36 2018