05-Nov-2022 16:18:38 ellipse_monte_carlo_test(): MATLAB/Octave version 4.2.2 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 -0.139519 -0.490651 0.00916412 0.0322278 0.113336 -0.000601933 2 2.1241 -0.0673367 -0.413392 0.0702614 -0.0969553 0.258259 -0.00654678 4 2.1241 -0.236215 0.57071 0.0564549 -0.0881453 0.188205 -0.00945739 8 2.1241 -0.134357 0.081432 0.0361758 -0.0483044 0.147259 -0.00262907 16 2.1241 0.00780897 0.165985 0.0359339 -0.0325951 0.156751 0.000874635 32 2.1241 0.002448 0.0562763 0.0321252 -0.0210007 0.173708 -0.000917651 64 2.1241 0.00172524 0.0588178 0.0296787 -0.0278516 0.15035 -0.000752368 128 2.1241 0.0286663 -0.0800058 0.0291976 -0.0228079 0.141896 0.000477261 256 2.1241 0.0151971 -0.00127405 0.0306259 -0.0243112 0.135705 0.000443582 512 2.1241 0.00682933 -0.0486799 0.0278903 -0.0179763 0.138912 8.4167e-06 1024 2.1241 0.00761836 -0.000167887 0.0302786 -0.0241905 0.142957 0.000198141 2048 2.1241 -0.00716269 -0.000243026 0.029008 -0.0222218 0.141234 -9.98011e-05 4096 2.1241 -0.0121974 0.0165747 0.0300462 -0.0222907 0.143989 -0.000377233 8192 2.1241 0.000125831 -0.0043232 0.0291571 -0.0216089 0.143476 -3.38277e-05 16384 2.1241 0.00134128 -0.00556337 0.0292408 -0.0227556 0.143087 7.7896e-05 32768 2.1241 -0.000233876 5.12872e-05 0.0300079 -0.0235146 0.14231 -9.30049e-07 65536 2.1241 -0.000609345 -0.00234801 0.0295183 -0.0228317 0.142656 -4.36807e-06 ellipse_monte_carlo_test(): Normal end of execution. 05-Nov-2022 16:18:59