Sat Nov 5 17:40:53 2022 disk_integrals_test(): Python version: 3.6.9 Test disk_integrals(). disk_integrals_test01(): Estimate monomial integrals using Monte Carlo over the interior of the unit disk in 2D. Disk radius is 2.0 Number of sample points 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 0 0 12.5664 12.5664 1.78e-15 0 2 12.4596 12.5664 1.07e-01 0 4 24.5105 25.1327 6.22e-01 0 6 60.0422 62.8319 2.79e+00 2 0 12.7693 12.5664 2.03e-01 2 2 8.62996 8.37758 2.52e-01 2 4 12.861 12.5664 2.95e-01 2 6 25.3435 25.1327 2.11e-01 4 0 25.4909 25.1327 3.58e-01 4 2 13.018 12.5664 4.52e-01 4 4 15.6925 15.0796 6.13e-01 4 6 26.0406 25.1327 9.08e-01 6 0 63.7396 62.8319 9.08e-01 6 2 25.9555 25.1327 8.23e-01 6 4 26.1364 25.1327 1.00e+00 6 6 37.4649 35.9039 1.56e+00 disk_integrals_test01(): Estimate monomial integrals using Monte Carlo over the interior of the unit disk in 2D. Disk radius is 2.0 Number of sample points is 67072 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 0 0 12.5664 12.5664 1.78e-15 0 2 12.4691 12.5664 9.73e-02 0 4 24.9356 25.1327 1.97e-01 0 6 62.4557 62.8319 3.76e-01 2 0 12.6012 12.5664 3.49e-02 2 2 8.31754 8.37758 6.00e-02 2 4 12.4156 12.5664 1.51e-01 2 6 24.8101 25.1327 3.23e-01 4 0 25.2623 25.1327 1.30e-01 4 2 12.524 12.5664 4.24e-02 4 4 14.9203 15.0796 1.59e-01 4 6 24.757 25.1327 3.76e-01 6 0 63.226 62.8319 3.94e-01 6 2 25.1225 25.1327 1.02e-02 6 4 24.952 25.1327 1.81e-01 6 6 35.4141 35.9039 4.90e-01 disk_integrals_test(): Normal end of execution. Sat Nov 5 17:40:55 2022