ball_monte_carlo_test 02-Jan-2014 12:26:20 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 0.12521 0.03612 0.505511 0.00374276 0.00107969 0.0610059 2 4.18879 0.243262 0.223317 0.410198 0.026419 0.0242786 0.0673005 4 4.18879 0.198406 1.23031 1.12843 0.0286414 0.0604943 0.350807 8 4.18879 0.667727 1.59033 0.739639 0.322302 0.085171 0.42129 16 4.18879 1.07555 0.536068 0.821268 0.600344 0.0719828 0.359102 32 4.18879 0.829877 0.870066 0.919887 0.373348 0.140064 0.448637 64 4.18879 1.05148 1.04269 0.640735 0.568743 0.179251 0.270908 128 4.18879 0.974441 0.851746 0.713067 0.462246 0.114701 0.28309 256 4.18879 0.837666 0.898047 0.737713 0.371862 0.111864 0.278707 512 4.18879 0.851414 0.862401 0.808144 0.366049 0.119521 0.343047 1024 4.18879 0.858543 0.829397 0.827932 0.368744 0.117729 0.361933 2048 4.18879 0.842546 0.844816 0.845534 0.359584 0.122739 0.365035 4096 4.18879 0.824578 0.871805 0.832129 0.357051 0.120846 0.355976 8192 4.18879 0.826298 0.852546 0.848735 0.349775 0.119972 0.366371 16384 4.18879 0.829624 0.83493 0.840258 0.357129 0.117809 0.363051 32768 4.18879 0.837331 0.840871 0.842562 0.357748 0.120889 0.362593 65536 4.18879 0.831158 0.837792 0.841675 0.356111 0.118654 0.362164 Exact 4.18879 0.837758 0.837758 0.837758 0.359039 0.11968 0.359039 BALL_MONTE_CARLO_TEST Normal end of execution. 02-Jan-2014 12:26:23 diary off