16-May-2025 05:25:00 sphere_monte_carlo_test(): MATLAB/Octave version 6.4.0 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 1.154653 2.022596 9.389122 0.106094 0.185845 7.015201 2 12.566371 8.452210 2.294344 1.819817 6.182277 1.223746 0.327135 4 12.566371 2.809231 4.901803 4.855337 1.302905 0.631294 2.949009 8 12.566371 4.805915 3.055846 4.704610 2.757973 0.594263 2.487610 16 12.566371 4.252952 5.582506 2.730913 2.346985 1.234404 1.483149 32 12.566371 4.345724 3.930913 4.289734 2.637855 0.835165 2.467458 64 12.566371 4.215179 4.352417 3.998775 2.649413 0.910948 2.571826 128 12.566371 4.515322 4.470071 3.580978 2.830860 0.960791 2.032084 256 12.566371 4.115783 4.462931 3.987657 2.421973 0.918203 2.265566 512 12.566371 4.025027 4.109143 4.432201 2.343647 0.847943 2.730618 1024 12.566371 4.051999 4.229779 4.284592 2.375015 0.804698 2.556022 2048 12.566371 4.079083 4.202936 4.284351 2.411959 0.819045 2.599205 4096 12.566371 4.177934 4.130541 4.257895 2.513824 0.810151 2.565207 8192 12.566371 4.274496 4.158055 4.133820 2.586823 0.848463 2.457058 16384 12.566371 4.187500 4.158239 4.220631 2.521094 0.833907 2.553379 32768 12.566371 4.222248 4.147993 4.196129 2.539584 0.836400 2.510323 65536 12.566371 4.189882 4.195081 4.181407 2.505796 0.842755 2.500833 Exact 12.566371 4.188790 4.188790 4.188790 2.513274 0.837758 2.513274 sphere_monte_carlo_test(): Normal end of execution. 16-May-2025 05:25:00