Wed Oct 8 07:43:46 2025 disk_integrals_test(): python version: 3.10.12 numpy version: 1.26.4 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 12.4687 12.5664 9.76e-02 0 4 24.7993 25.1327 3.33e-01 0 6 61.9202 62.8319 9.12e-01 2 0 12.4356 12.5664 1.31e-01 2 2 8.17867 8.37758 1.99e-01 2 4 11.9956 12.5664 5.71e-01 2 6 23.5712 25.1327 1.56e+00 4 0 25.0015 25.1327 1.31e-01 4 2 12.4282 12.5664 1.38e-01 4 4 14.6047 15.0796 4.75e-01 4 6 23.81 25.1327 1.32e+00 6 0 63.0569 62.8319 2.25e-01 6 2 25.1303 25.1327 2.46e-03 6 4 24.7604 25.1327 3.72e-01 6 6 34.4374 35.9039 1.47e+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 12.4952 12.5664 7.11e-02 0 4 24.9361 25.1327 1.97e-01 0 6 62.2022 62.8319 6.30e-01 2 0 12.6024 12.5664 3.61e-02 2 2 8.35604 8.37758 2.15e-02 2 4 12.4873 12.5664 7.91e-02 2 6 24.9294 25.1327 2.03e-01 4 0 25.2572 25.1327 1.24e-01 4 2 12.5909 12.5664 2.45e-02 4 4 15.0426 15.0796 3.71e-02 4 6 24.9954 25.1327 1.37e-01 6 0 63.1918 62.8319 3.60e-01 6 2 25.2589 25.1327 1.26e-01 6 4 25.1708 25.1327 3.80e-02 6 6 35.8249 35.9039 7.90e-02 disk_integrals_test(): Normal end of execution. Wed Oct 8 07:43:47 2025