Tue May 20 21:35:07 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 12.7124 12.5664 1.46e-01 0 4 25.4275 25.1327 2.95e-01 0 6 63.4953 62.8319 6.63e-01 2 0 12.0287 12.5664 5.38e-01 2 2 8.15954 8.37758 2.18e-01 2 4 12.2582 12.5664 3.08e-01 2 6 24.4105 25.1327 7.22e-01 4 0 23.5165 25.1327 1.62e+00 4 2 12.0056 12.5664 5.61e-01 4 4 14.4871 15.0796 5.93e-01 4 6 23.9923 25.1327 1.14e+00 6 0 57.7708 62.8319 5.06e+00 6 2 23.5713 25.1327 1.56e+00 6 4 23.8941 25.1327 1.24e+00 6 6 34.0691 35.9039 1.83e+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 12.6463 12.5664 7.99e-02 0 4 25.3349 25.1327 2.02e-01 0 6 63.4026 62.8319 5.71e-01 2 0 12.5179 12.5664 4.85e-02 2 2 8.40382 8.37758 2.62e-02 2 4 12.6281 12.5664 6.18e-02 2 6 25.2677 25.1327 1.35e-01 4 0 24.8893 25.1327 2.43e-01 4 2 12.528 12.5664 3.84e-02 4 4 15.0705 15.0796 9.11e-03 4 6 25.1248 25.1327 7.93e-03 6 0 61.9219 62.8319 9.10e-01 6 2 24.9339 25.1327 1.99e-01 6 4 25.0257 25.1327 1.07e-01 6 6 35.799 35.9039 1.05e-01 disk_integrals_test(): Normal end of execution. Tue May 20 21:35:09 2025