07-Nov-2022 22:16:55 sphere_monte_carlo_test(): MATLAB/Octave version 4.2.2 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 12.169970 0.233070 0.163331 11.786073 0.225718 0.002123 2 12.566371 3.084067 0.169089 9.313214 1.475209 0.065924 7.670220 4 12.566371 3.982654 1.148325 7.435391 1.848870 0.215547 4.729462 8 12.566371 6.161051 2.229862 4.175458 4.326661 0.551662 2.167867 16 12.566371 3.980714 4.595753 3.989904 2.530542 0.922238 2.701202 32 12.566371 3.546788 4.684767 4.334815 2.172571 0.648977 2.610574 64 12.566371 4.535713 3.809464 4.221194 2.752900 0.845511 2.418644 128 12.566371 4.300052 4.236099 4.030220 2.608508 0.867604 2.433145 256 12.566371 3.924366 4.083648 4.558356 2.265421 0.828386 2.860218 512 12.566371 4.287241 4.221932 4.057198 2.576139 0.862155 2.395046 1024 12.566371 4.261848 4.381602 3.922921 2.612277 0.860387 2.300658 2048 12.566371 4.110683 4.291554 4.164133 2.406256 0.852814 2.424480 4096 12.566371 4.248098 4.137544 4.180729 2.592600 0.833510 2.493844 8192 12.566371 4.175123 4.187286 4.203962 2.508127 0.830035 2.520163 16384 12.566371 4.210930 4.195850 4.159590 2.533583 0.837268 2.485322 32768 12.566371 4.175545 4.180759 4.210067 2.504298 0.832097 2.531734 65536 12.566371 4.182426 4.197428 4.186517 2.506465 0.839943 2.511865 Exact 12.566371 4.188790 4.188790 4.188790 2.513274 0.837758 2.513274 sphere_monte_carlo_test(): Normal end of execution. 07-Nov-2022 22:16:55