Home License -- for personal use only. Not for government, academic, research, commercial, or other organizational use. 07-Oct-2025 20:19:34 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 -0.457606 0.697968 0.0985842 -0.150367 0.229348 -0.0212385 2 2.1241 0.262024 -0.090254 0.032381 -0.00810199 0.161512 0.00400882 4 2.1241 -0.100952 0.250221 0.051037 -0.0561863 0.112891 -0.00456525 8 2.1241 0.0107663 -0.0788926 0.0397209 -0.0259853 0.0594305 -0.000263438 16 2.1241 -0.15443 0.0296431 0.0353175 -0.0250424 0.170709 -0.00521998 32 2.1241 0.125696 -0.224548 0.0339054 -0.0347407 0.150357 0.00353071 64 2.1241 -0.0152919 -0.0115776 0.032081 -0.0287838 0.164271 -0.000480753 128 2.1241 0.0252116 0.0129109 0.0257246 -0.0253828 0.146705 0.000144319 256 2.1241 -0.0174356 0.0564498 0.0291043 -0.0232047 0.140798 0.000181836 512 2.1241 -0.018673 0.0624582 0.030679 -0.0251719 0.143751 -0.000733082 1024 2.1241 -0.00799577 -0.00691173 0.0296461 -0.0192536 0.141743 -7.46549e-05 2048 2.1241 0.000122107 -0.000719401 0.0302756 -0.0240292 0.142179 3.57281e-05 4096 2.1241 -0.00470086 -0.00700747 0.0298617 -0.0228482 0.140237 -0.000110441 8192 2.1241 0.00336236 -0.000859708 0.0292302 -0.0217051 0.141228 8.65969e-05 16384 2.1241 -6.71091e-05 -0.000939246 0.0290223 -0.0221836 0.141519 2.23213e-05 32768 2.1241 -0.000491896 0.000417865 0.0295171 -0.0223626 0.141923 -8.68105e-06 65536 2.1241 -0.000162753 0.001748 0.0295233 -0.0227146 0.142165 2.34365e-05 ellipse_monte_carlo_test(): Normal end of execution. 07-Oct-2025 20:19:36