Tue May 16 11:45:53 2023 pyramid_felippa_rule_test(): Python version: %s3.8.10 Test pyramid_felippa_rule(). pyramid_unit_monomial_test(): pyramid_unit_monomial() returns the exact value of the integral of X^ALPHA Y^BETA Z^GAMMA Volume = 1.3333333333333333 ALPHA BETA GAMMA INTEGRAL 0 0 0 1.333333e+00 0 0 1 3.333333e-01 0 0 2 1.333333e-01 0 0 3 6.666667e-02 0 0 4 3.809524e-02 0 1 0 0.000000e+00 0 1 1 0.000000e+00 0 1 2 0.000000e+00 0 1 3 0.000000e+00 0 2 0 2.666667e-01 0 2 1 4.444444e-02 0 2 2 1.269841e-02 0 3 0 0.000000e+00 0 3 1 0.000000e+00 0 4 0 1.142857e-01 1 0 0 0.000000e+00 1 0 1 0.000000e+00 1 0 2 0.000000e+00 1 0 3 0.000000e+00 1 1 0 0.000000e+00 1 1 1 0.000000e+00 1 1 2 0.000000e+00 1 2 0 0.000000e+00 1 2 1 0.000000e+00 1 3 0 0.000000e+00 2 0 0 2.666667e-01 2 0 1 4.444444e-02 2 0 2 1.269841e-02 2 1 0 0.000000e+00 2 1 1 0.000000e+00 2 2 0 6.349206e-02 3 0 0 0.000000e+00 3 0 1 0.000000e+00 3 1 0 0.000000e+00 4 0 0 1.142857e-01 pyramid_unit_quad_test(): Approximate monomial integrals in the unit pyramid. Monomial exponents: [0 0 0] 1 1.333333 5 1.333333 6 1.333333 8 1.333333 8 1.333333 9 1.333333 13 1.333333 18 1.333333 27 1.333333 48 1.333333 Exact 1.333333 Monomial exponents: [0 0 1] 1 0.333333 5 0.333333 6 0.333333 8 0.333333 8 0.333333 9 0.333333 13 0.333333 18 0.333333 27 0.333333 48 0.333333 Exact 0.333333 Monomial exponents: [2 0 0] 1 0.000000 5 0.266667 6 0.266667 8 0.266667 8 0.266667 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: [0 2 0] 1 0.000000 5 0.266667 6 0.266667 8 0.266667 8 0.266667 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: [0 0 2] 1 0.083333 5 0.133333 6 0.133333 8 0.133333 8 0.133333 9 0.133333 13 0.133333 18 0.133333 27 0.133333 48 0.133333 Exact 0.133333 Monomial exponents: [2 0 1] 1 0.000000 5 0.044444 6 0.044444 8 0.044444 8 0.044444 9 0.044444 13 0.044444 18 0.044444 27 0.044444 48 0.044444 Exact 0.044444 Monomial exponents: [0 2 1] 1 0.000000 5 0.044444 6 0.044444 8 0.044444 8 0.044444 9 0.044444 13 0.044444 18 0.044444 27 0.044444 48 0.044444 Exact 0.044444 Monomial exponents: [0 0 3] 1 0.020833 5 0.076667 6 0.077315 8 0.066667 8 0.064762 9 0.066931 13 0.066650 18 0.066667 27 0.066667 48 0.066667 Exact 0.066667 Monomial exponents: [4 0 0] 1 0.000000 5 0.063210 6 0.063492 8 0.063210 8 0.063210 9 0.063492 13 0.066467 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: [2 2 0] 1 0.000000 5 0.063210 6 0.063492 8 0.063210 8 0.063210 9 0.063492 13 0.063492 18 0.063210 27 0.063492 48 0.063492 Exact 0.063492 Monomial exponents: [0 4 0] 1 0.000000 5 0.063210 6 0.063492 8 0.063210 8 0.063210 9 0.063492 13 0.066467 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: [2 0 2] 1 0.000000 5 0.007407 6 0.007407 8 0.011852 8 0.012698 9 0.012698 13 0.012698 18 0.011852 27 0.012698 48 0.012698 Exact 0.012698 Monomial exponents: [0 2 2] 1 0.000000 5 0.007407 6 0.007407 8 0.011852 8 0.012698 9 0.012698 13 0.012698 18 0.011852 27 0.012698 48 0.012698 Exact 0.012698 Monomial exponents: [0 0 4] 1 0.005208 5 0.050889 6 0.052315 8 0.035556 8 0.033088 9 0.039204 13 0.037967 18 0.035556 27 0.038095 48 0.038095 Exact 0.038095 Monomial exponents: [4 0 1] 1 0.000000 5 0.010535 6 0.010582 8 0.008560 8 0.008183 9 0.007937 13 0.008946 18 0.015407 27 0.014286 48 0.014286 Exact 0.014286 Monomial exponents: [2 2 1] 1 0.000000 5 0.010535 6 0.010582 8 0.008560 8 0.008183 9 0.007937 13 0.007937 18 0.008560 27 0.007937 48 0.007937 Exact 0.007937 Monomial exponents: [0 4 1] 1 0.000000 5 0.010535 6 0.010582 8 0.008560 8 0.008183 9 0.007937 13 0.008946 18 0.015407 27 0.014286 48 0.014286 Exact 0.014286 Monomial exponents: [2 0 3] 1 0.000000 5 0.001235 6 0.001235 8 0.004938 8 0.005442 9 0.004667 13 0.004762 18 0.004938 27 0.004762 48 0.004762 Exact 0.004762 Monomial exponents: [0 2 3] 1 0.000000 5 0.001235 6 0.001235 8 0.004938 8 0.005442 9 0.004667 13 0.004762 18 0.004938 27 0.004762 48 0.004762 Exact 0.004762 Monomial exponents: [0 0 5] 1 0.001302 5 0.035159 6 0.037188 8 0.019259 8 0.017098 9 0.026126 13 0.023870 18 0.019259 27 0.023810 48 0.023810 Exact 0.023810 pyramid_felippa_rule_test(): Normal end of execution. Tue May 16 11:45:53 2023