26 February 2020 07:45:25 AM ELLIPSE_MONTE_CARLO_TEST C++ version Test the ELLIPSE_MONTE_CARLO library. ELLIPSE_AREA1_TEST C++ version ELLIPSE_AREA1 computes the area of an ellipse. R = 10 Matrix A in ellipse definition x*A*x=r^2 Col: 0 1 Row 0: 5 1 1: 1 2 Area = 104.72 ELLIPSE_AREA1_TEST Normal end of execution. ELLIPSE_AREA2_TEST C++ version ELLIPSE_AREA2 computes the area of an ellipse. Ellipse: 5 * x^2 + 2 * xy + 2 * y^2 = 10 Area = 104.72 ELLIPSE_AREA2_TEST Normal end of execution. TEST01 Use ELLIPSE01_SAMPLE to estimate integrals in the ellipse x' * A * x <= r^2. N 1 X Y X^2 XY Y^2 X^3 1 2.1241 0.4556 -0.376066 0.097722 -0.0806627 0.0665814 0.0209604 2 2.1241 -0.0306358 0.14778 0.00449434 -0.0030764 0.0105018 -0.000181719 4 2.1241 0.27587 -0.312 0.0417762 -0.0231694 0.140882 0.00700437 8 2.1241 0.00333166 -0.251031 0.0251927 -0.0180584 0.0825508 -0.000312286 16 2.1241 0.00534942 0.0718986 0.0230367 -0.00985476 0.117591 -0.000846337 32 2.1241 -0.0576574 -0.184163 0.0317003 -0.0195772 0.14922 -0.00135138 64 2.1241 -0.0250151 0.0240724 0.0278674 -0.0233873 0.145951 -2.51368e-06 128 2.1241 0.00421042 -0.0629404 0.0285123 -0.0227768 0.14764 4.84888e-05 256 2.1241 0.00164242 0.058142 0.0283226 -0.0196689 0.135295 -8.2932e-05 512 2.1241 0.00756784 0.0170093 0.0281605 -0.0224068 0.141451 0.000239302 1024 2.1241 -0.00767481 -0.0145921 0.029834 -0.0230815 0.149816 -0.000185755 2048 2.1241 -0.00493584 0.0207855 0.0283452 -0.0212838 0.140061 -4.84776e-05 4096 2.1241 -0.00768025 -0.00135906 0.0294489 -0.0226947 0.142611 -0.000155983 8192 2.1241 -0.000663898 0.0085225 0.0296095 -0.0221527 0.141227 -3.36923e-05 16384 2.1241 -0.000849378 0.00544156 0.029545 -0.0227768 0.141865 3.1835e-05 32768 2.1241 -0.00121951 -0.000488945 0.0296223 -0.0228369 0.141868 -4.55365e-05 65536 2.1241 0.00128864 -0.00146042 0.0296739 -0.0225971 0.140368 2.10398e-05 ELLIPSE_MONTE_CARLO_TEST Normal end of execution. 26 February 2020 07:45:25 AM