30-Nov-2018 09:10:58 BALL_MONTE_CARLO_TEST MATLAB version Test the BALL_MONTE_CARLO library. TEST01 Estimate integrals over the interior of the unit ball using the Monte Carlo method. N 1 X^2 Y^2ans = 52 Z^2 X^4 X^2Y^2 Z^4 1 4.18879 0.189372 1.79693 0.703778 0.00856134 0.0812377 0.118245 2 4.18879 0.104928 0.192274 0.564683 0.00267239 0.00543472 0.0817671 4 4.18879 0.381844 1.87315 0.10686 0.0699533 0.155154 0.00656111 8 4.18879 1.22541 0.388848 0.66109 0.579198 0.0394815 0.212465 16 4.18879 0.910737 0.983103 0.639553 0.345372 0.141757 0.190639 32 4.18879 0.874772 0.69731 0.681252 0.404311 0.10499 0.27006 64 4.18879 0.773652 0.768498 0.997475 0.309129 0.0919964 0.40571 128 4.18879 0.793702 0.871175 0.676558 0.311393 0.129231 0.265534 256 4.18879 0.869648 0.765838 0.922162 0.374165 0.114714 0.402997 512 4.18879 0.888827 0.788769 0.84432 0.406229 0.116179 0.359084 1024 4.18879 0.830515 0.794314 0.869142 0.349251 0.111054 0.379504 2048 4.18879 0.834235 0.869848 0.824997 0.357376 0.123222 0.344335 4096 4.18879 0.842077 0.857023 0.828453 0.365273 0.120179 0.353686 8192 4.18879 0.840542 0.838033 0.840467 0.355232 0.121266 0.358642 16384 4.18879 0.836807 0.826659 0.843613 0.357313 0.11845 0.362538 32768 4.18879 0.835375 0.845206 0.836413 0.356423 0.119369 0.355645 65536 4.18879 0.841269 0.837901 0.832391 0.362653 0.119212 0.355517 Exact 4.18879 0.837758 0.837758 0.837758 0.359039 0.11968 0.359039 BALL_MONTE_CARLO_TEST Normal end of execution. 30-Nov-2018 09:11:01