Home License -- for personal use only. Not for government, academic, research, commercial, or other organizational use. 13-May-2025 13:25:36 ellipse_monte_carlo_test(): MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7 Test ellipse_monte_carlo(). ellipse_area1_test(): ellipse_area1() computes the area of an ellipse. R = 10 Matrix A in ellipse definition x*A*x=r^2 Col: 1 2 Row 1 : 5 1 2 : 1 2 Area = 104.72 ellipse_area2_test() ellipse_area2() computes the area of an ellipse. Ellipse: 5 * x^2 + 2 * xy + 2 * y^2 = 10 Area = 104.72 ellipse_monte_carlo_test01(): ellipse01_sample() estimates integrals in the ellipse x' * A * x <= r^2. N 1 X Y X^2 XY Y^2 X^3 1 2.1241 0.0532619 0.748587 0.00133554 0.0187708 0.26382 3.34888e-05 2 2.1241 0.350036 -0.458196 0.0616337 -0.0679557 0.113274 0.0114587 4 2.1241 0.160913 0.240064 0.018172 0.00585746 0.109734 0.00221426 8 2.1241 -0.112082 -0.144129 0.0292634 -0.0207629 0.206253 -0.0044103 16 2.1241 -0.0707253 -0.0356859 0.0473995 -0.0392049 0.129709 -0.0017073 32 2.1241 -0.12628 -0.0397285 0.035655 -0.0324397 0.164827 -0.00383746 64 2.1241 0.028297 -0.000450934 0.0330874 -0.0316868 0.130331 0.000994705 128 2.1241 0.0123335 -0.0301296 0.0308164 -0.0267746 0.144453 9.82938e-05 256 2.1241 0.00573911 -0.0214927 0.0281639 -0.0195005 0.143293 0.000569303 512 2.1241 -0.0153623 0.0306602 0.0297598 -0.0197834 0.131373 -0.000532059 1024 2.1241 -0.0145317 -0.017557 0.0293912 -0.0241059 0.142196 -0.000448748 2048 2.1241 -0.00823845 0.0124261 0.0298333 -0.0218647 0.144047 -0.000297573 4096 2.1241 -0.00297396 -0.00370484 0.0296144 -0.0230988 0.145368 -8.50597e-05 8192 2.1241 0.00206829 -0.00169632 0.0295598 -0.0219508 0.141458 1.19059e-05 16384 2.1241 0.00229255 -0.00472702 0.0293913 -0.0222848 0.142233 6.45296e-05 32768 2.1241 -0.00087307 0.00482915 0.0294731 -0.0223935 0.141511 -3.65481e-05 65536 2.1241 -0.000469426 -0.00026357 0.02952 -0.0225142 0.14133 -1.53007e-06 ellipse_monte_carlo_test(): Normal end of execution. 13-May-2025 13:25:38