08-Jan-2022 09:49:11 sphere_monte_carlo_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test sphere_monte_carlo(). TEST01 Use SPHERE01_SAMPLE to estimate integrals over the surface of the unit sphere. N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 12.566371 0.414954 4.827445 7.323972 0.013702 0.159407 4.268581 2 12.566371 1.918107 0.306140 10.342124 0.533125 0.073506 8.808455 4 12.566371 4.337562 1.758939 6.469869 1.958886 0.766084 4.535904 8 12.566371 3.120904 3.609357 5.836110 1.821631 0.454273 3.669051 16 12.566371 3.673973 3.192372 5.700026 2.201957 0.661221 4.056516 32 12.566371 5.003332 4.256956 3.306082 3.272778 0.875090 1.610098 64 12.566371 3.979986 4.660357 3.926027 2.543459 0.721436 2.340244 128 12.566371 3.902341 4.779900 3.884129 2.181078 0.915884 2.250096 256 12.566371 4.290056 4.167940 4.108374 2.584960 0.833644 2.404789 512 12.566371 4.319225 4.256895 3.990251 2.608388 0.875256 2.373155 1024 12.566371 4.186398 4.215361 4.164612 2.565787 0.789765 2.485559 2048 12.566371 4.129446 4.327102 4.109823 2.462833 0.845201 2.438067 4096 12.566371 4.241162 4.140645 4.184563 2.542846 0.840866 2.493621 8192 12.566371 4.167920 4.179935 4.218515 2.500641 0.839851 2.553697 16384 12.566371 4.226704 4.205244 4.134423 2.544964 0.841785 2.468357 32768 12.566371 4.186059 4.188174 4.192138 2.516220 0.837528 2.518934 65536 12.566371 4.166347 4.212841 4.187183 2.496701 0.837692 2.515112 Exact 12.566371 4.188790 4.188790 4.188790 2.513274 0.837758 2.513274 sphere_monte_carlo_test(): Normal end of execution. 08-Jan-2022 09:49:11