20 January 2020 09:15:52 AM

HYPERBALL_VOLUME_MONTE_CARLO:
  C version
  Use a Monte Carlo approach to estimate the volume of
  the unit hyperball in M dimensions.

  The spatial dimension is  10
  The random number seed is 123456789

    Log(N)         N      Estimate         Error

         0         1                 0               2.6
         1         2                 0               2.6
         2         4                 0               2.6
         3         8                 0               2.6
         4        16                 0               2.6
         5        32                 0               2.6
         6        64                16                13
         7       128                 8               5.4
         8       256                 4               1.4
         9       512                 6               3.4
        10      1024                 6               3.4
        11      2048                 4               1.4
        12      4096               2.5              0.05
        13      8192             2.625             0.075
        14     16384               2.5              0.05
        15     32768               2.5              0.05
        16     65536          2.703125              0.15
        17    131072         2.7890625              0.24
        18    262144        2.58203125             0.032
        19    524288       2.626953125             0.077
        20   1048576        2.58984375              0.04
        21   2097152       2.567382812             0.017
        22   4194304       2.570068359              0.02
        23   8388608       2.574829102             0.025
        24  16777216       2.554626465            0.0045
        25  33554432       2.554290771            0.0041

        oo        oo        2.55016404           0

HYPERBALL_VOLUME_MONTE_CARLO:
  Normal end of execution.

20 January 2020 09:15:58 AM