8 January 2014   6:50:34.540 PM
 
DISK_INTEGRALS_PRB
  FORTRAN90 version
  Test the DISK_INTEGRALS library.

TEST01
  Estimate monomial integrals using Monte Carlo
  over the interior of the unit disk in 2D.

  Number of sample points used is   4192

  If any exponent is odd, the integral is zero.
  We will restrict this test to randomly chosen even exponents.

  Ex  Ey     MC-Estimate           Exact      Error

   8   6    0.102498E-02    0.958738E-03    0.66E-04
   0   0     3.14159         3.14159        0.44E-15
   4   6    0.622888E-02    0.613592E-02    0.93E-04
   8   8    0.391285E-03    0.372843E-03    0.18E-04
   4   0    0.378430        0.392699        0.14E-01
   6   0    0.233868        0.245437        0.12E-01
   8   6    0.102498E-02    0.958738E-03    0.66E-04
   0   8    0.171280        0.171806        0.53E-03
   0   8    0.171280        0.171806        0.53E-03
   6   8    0.977643E-03    0.958738E-03    0.19E-04
   0   2    0.788787        0.785398        0.34E-02
   0   8    0.171280        0.171806        0.53E-03
   2   6    0.244521E-01    0.245437E-01    0.92E-04
   0   0     3.14159         3.14159        0.44E-15
   8   4    0.326548E-02    0.306796E-02    0.20E-03
   2   4    0.494336E-01    0.490874E-01    0.35E-03
   4   6    0.622888E-02    0.613592E-02    0.93E-04
   0   8    0.171280        0.171806        0.53E-03
   2   0    0.766794        0.785398        0.19E-01
   2   8    0.141150E-01    0.143172E-01    0.20E-03
 
DISK_INTEGRALS_PRB
  Normal end of execution.
 
 8 January 2014   6:50:34.545 PM