Tue Oct 19 11:26:02 2021 CONDITION_TEST Python version: 3.6.9 Test condition() COMBIN_TEST Python version: 3.6.9 COMBIN computes the COMBIN matrix. COMBIN matrix: Col: 0 1 2 3 Row 0 : 7.6 5.4 5.4 5.4 1 : 5.4 7.6 5.4 5.4 2 : 5.4 5.4 7.6 5.4 3 : 5.4 5.4 5.4 7.6 COMBIN_TEST Normal end of execution. CONEX1_TEST Python version: 3.6.9 CONEX1 computes the CONEX1 matrix. CONEX1 matrix: Col: 0 1 2 3 Row 0 : 1 -1 -164.816 0 1 : 0 1 82.408 -82.408 2 : 0 1 83.408 -83.408 3 : 0 0 0 82.408 CONEX1_TEST Normal end of execution. CONEX2_TEST Python version: 3.6.9 CONEX2 computes the CONEX2 matrix. CONEX2 matrix: Col: 0 1 2 Row 0 : 1 0.999738 -2 1 : 0 0.0161771 -0.0161771 2 : 0 0 1 CONEX2_TEST Normal end of execution. CONEX3_TEST Python version: 3.6.9 CONEX3 computes the CONEX3 matrix. CONEX3 matrix: Col: 0 1 2 3 4 Row 0 : 1 0 0 0 0 1 : -1 1 0 0 0 2 : -1 -1 1 0 0 3 : -1 -1 -1 1 0 4 : -1 -1 -1 -1 -1 CONEX3_TEST Normal end of execution. CONEX4_TEST Python version: 3.6.9 CONEX4 computes the CONEX4 matrix. CONEX4 matrix: Col: 0 1 2 3 Row 0 : 7 10 8 7 1 : 6 8 10 9 2 : 5 7 9 10 3 : 5 7 6 5 CONEX4_TEST Normal end of execution. 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. KAHAN_TEST Python version: 3.6.9 KAHAN computes the KAHAN matrix. KAHAN matrix: Col: 0 1 2 3 4 Row 0 : 0.305165 -0.290608 -0.290608 -0.290608 -0.290608 1 : 0 0.0931254 -0.0886833 -0.0886833 -0.0886833 2 : 0 0 0.0284186 -0.027063 -0.027063 3 : 0 0 0 0.00867234 -0.00825867 4 : 0 0 0 0 0.00264649 KAHAN_TEST Normal end of execution. r8_sign_test(): Python version: 3.6.9 r8_sign() returns the sign of an R8. R8 R8_SIGN(R8) -1.2500 -1 -0.2500 -1 0.0000 1 0.5000 1 9.0000 1 r8_sign_test(): Normal end of execution. R8GE_FA_TEST01 Python version: 3.6.9 For a matrix in general storage, R8GE_FA computes the LU factors, R8GE_SL solves a factored system. Matrix order N = 10 Solution: 0: 1 1: 2 2: 3 3: 4 4: 5 5: 6 6: 7 7: 8 8: 9 9: 10 Solution: 0: 1 1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 Solution of transposed system: 0: 1 1: 2 2: 3 3: 4 4: 5 5: 6 6: 7 7: 8 8: 9 9: 10 R8GE_FA_TEST01 Normal end of execution. R8GE_FA_TEST02 Python version: 3.6.9 For a matrix in general storage, R8GE_FA computes the LU factors, R8GE_SL solves a factored system. Matrix order N = 5 The matrix: Col: 0 1 2 3 4 Row 0 : 0.963588 0.772559 0.778322 0.88835 0.62419 1 : 0.989026 0.80893 0.69601 0.0960767 0.100305 2 : 0.543655 0.484081 0.672194 0.283694 0.0453209 3 : 0.177758 0.457014 0.405702 0.728687 0.69038 4 : 0.351405 0.632974 0.242725 0.813434 0.698258 The compressed LU factors: Col: 0 1 2 3 4 Row 0 : 0.989026 0.80893 0.69601 0.0960767 0.100305 1 : -0.97428 0.345558 -0.00457026 0.779298 0.662619 2 : -0.549687 -0.114085 0.290128 0.141976 -0.0854105 3 : -0.179731 -0.901802 -0.981393 0.780909 0.585753 4 : -0.355304 0.0450451 -0.344699 0.167353 0.25665 The pivot vector P: 0 1 1 4 2 2 3 4 4 4 Solution: 0: 1 1: 2 2: 3 3: 4 4: 5 R8GE_FA_TEST02 Normal end of execution. R8MAT_NORM_L1_TEST Python version: 3.6.9 R8MAT_NORM_L1 computes the L1 norm of an R8MAT; A: Col: 0 1 2 3 Row 0 : 1 -4 2 0 1 : 3 -3 5 -4 2 : 1 3 2 0 3 : 4 2 0 5 4 : 4 0 -2 4 Computed L1 norm = 13 R8MAT_NORM_L1_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. r8vec_max_abs_index_test(): Python version: 3.6.9 r8vec_max_abs_index(): index of entry of maximum absolute value Input vector: 0: 7.74645 1: -0.0282257 2: 4.91922 3: -6.73868 4: -9.64078 5: 0.140914 6: 0.85995 7: -3.50843 8: -6.98234 9: 1.17976 Maximum index: 4 r8vec_max_abs_index_test(): Normal end of execution. r8vec_norm_l1_test(): Python version: 3.6.9 r8vec_norm_l1() computes the L1 norm of an R8VEC. Input vector: 0: 2.59777 1: -7.08944 2: 4.30322 3: -4.95275 4: 4.59224 5: -4.0548 6: -2.46359 7: -6.33071 8: 6.75943 9: 9.30197 L1 norm = 52.4459 r8vec_norm_l1_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. r8vec_uniform_unit_test(): Python version: 3.6.9 r8vec_uniform_unit() returns a random R8VEC on the surface of the unit M sphere. Vector: 0: -0.662189 1: 0.260113 2: 0.167996 3: -0.0986835 4: 0.675193 Vector: 0: 0.575465 1: 0.312966 2: -0.0387628 3: -0.750264 4: 0.0805807 Vector: 0: 0.770209 1: -0.186741 2: 0.21973 3: 0.567955 4: 0.0324439 Vector: 0: 0.884057 1: 0.084889 2: -0.0780304 3: -0.14874 4: -0.427814 Vector: 0: 0.359667 1: 0.132656 2: 0.524983 3: -0.00812189 4: 0.759847 r8vec_uniform_unit_test(): Normal end of execution. COND_TEST Python version: 3.6.9 COND is the condition number estimator built into Python. Matrix Order Condition Estimate Combinatorial 4 10 10 CONEX1 4 80601 80601 CONEX2 3 601.97 601.97 CONEX3 5 80 80 CONEX4 4 4488 4488 KAHAN 4 646.712 646.712 RANDOM 4 183.209 183.209 RANDOM 4 61.5522 61.5522 RANDOM 4 21.5016 21.5016 RANDOM 4 34.8777 34.8777 RANDOM 4 26.6349 26.6349 COND_TEST Normal end of execution. CONDITION_HAGER_TEST Python version: 3.6.9 CONDITION_HAGER estimates the L1 condition number for a matrix in general storage. Matrix Order Condition Hager Combinatorial 4 10 10 CONEX1 4 80601 80601 CONEX2 3 601.97 601.97 CONEX3 5 80 80 CONEX4 4 4488 4488 KAHAN 4 646.712 646.712 RANDOM 4 388.287 388.287 RANDOM 4 39.0221 39.0221 RANDOM 4 15.7248 15.7248 RANDOM 4 36.1512 36.1512 RANDOM 4 29.6181 29.6181 CONDITION_HAGER_TEST Normal end of execution. CONDITION_LINPACK_TEST Python version: 3.6.9 CONDITION_LINPACK estimates the L1 condition number for a matrix in general storage. Matrix Order Condition Linpack Combinatorial 4 10 7 CONEX1 4 80601 565.586 CONEX2 3 601.97 7.50657 CONEX3 5 80 5 CONEX4 4 4488 3238.09 KAHAN 4 646.712 574.664 RANDOM 4 29.5402 18.2319 RANDOM 4 12.9288 8.87742 RANDOM 4 17.0685 13.3868 RANDOM 4 21.6827 13.78 RANDOM 4 168.61 119.884 CONDITION_LINPACK_TEST Normal end of execution. CONDITION_SAMPLE1_TEST Python version: 3.6.9 CONDITION_SAMPLE1 estimates the L1 condition number using sampling for a matrix in general storage. Matrix Samples Order Condition Estimate Combinatorial 10 4 10 8.52549 Combinatorial 1000 4 10 9.44676 Combinatorial 100000 4 10 9.60118 CONEX1 10 4 80601 8.67311 CONEX1 1000 4 80601 26.3571 CONEX1 100000 4 80601 521.061 CONEX2 10 3 601.97 5.14431 CONEX2 1000 3 601.97 31.2494 CONEX2 100000 3 601.97 227.307 CONEX3 10 5 80 1.99191 CONEX3 1000 5 80 22.5361 CONEX3 100000 5 80 28.3232 CONEX4 10 4 4488 4.11941 CONEX4 1000 4 4488 65.5935 CONEX4 100000 4 4488 418.042 KAHAN 10 4 646.712 5.59252 KAHAN 1000 4 646.712 21.0937 KAHAN 100000 4 646.712 146.933 RANDOM 10 4 117.601 7.2247 RANDOM 1000 4 117.601 23.4906 RANDOM 100000 4 117.601 88.5178 RANDOM 10 4 28.7475 9.05511 RANDOM 1000 4 28.7475 22.027 RANDOM 100000 4 28.7475 24.507 RANDOM 10 4 71.7608 2.89676 RANDOM 1000 4 71.7608 27.1134 RANDOM 100000 4 71.7608 54.2919 RANDOM 10 4 19.0126 4.96928 RANDOM 1000 4 19.0126 12.8471 RANDOM 100000 4 19.0126 17.778 RANDOM 10 4 73.2643 3.72973 RANDOM 1000 4 73.2643 12.71 RANDOM 100000 4 73.2643 53.5546 CONDITION_SAMPLE1_TEST Normal end of execution. condition_test: Normal end of execution. Tue Oct 19 11:26:19 2021