9 May 2025   9:00:24.620 PM
 
disk01_integrals_test():
  FORTRAN90 version
  Test DISK01_INTEGRALS().

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

   0   4    0.396445        0.392699        0.37E-02
   6   6    0.221784E-02    0.219140E-02    0.26E-04
   4   0    0.386253        0.392699        0.64E-02
   6   6    0.221784E-02    0.219140E-02    0.26E-04
   6   0    0.241697        0.245437        0.37E-02
   0   2    0.791608        0.785398        0.62E-02
   8   8    0.375592E-03    0.372843E-03    0.27E-05
   4   2    0.491294E-01    0.490874E-01    0.42E-04
   4   8    0.316853E-02    0.306796E-02    0.10E-03
   6   2    0.244916E-01    0.245437E-01    0.52E-04
   8   8    0.375592E-03    0.372843E-03    0.27E-05
   8   4    0.311673E-02    0.306796E-02    0.49E-04
   2   2    0.132156        0.130900        0.13E-02
   2   4    0.503515E-01    0.490874E-01    0.13E-02
   0   2    0.791608        0.785398        0.62E-02
   0   6    0.247913        0.245437        0.25E-02
   2   6    0.255049E-01    0.245437E-01    0.96E-03
   2   6    0.255049E-01    0.245437E-01    0.96E-03
   0   4    0.396445        0.392699        0.37E-02
   0   8    0.173506        0.171806        0.17E-02
 
DISK01_INTEGRALS_TEST():
  Normal end of execution.
 
 9 May 2025   9:00:24.621 PM