07 September 2021   7:19:56.706 PM
 
CIRCLE_INTEGRALS_TEST
  FORTRAN90 version
  Test the CIRCLE_INTEGRALS library.
 
TEST01
  Use CIRCLE01_SAMPLE to compare exact and
  estimated integrals along the circumference 
  of the unit circle in 2D.

  Number of sample points used is   4192

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

  Ex  Ey     MC-Estimate           Exact      Error

   8   8    0.700593E-02    0.671117E-02    0.29E-03
   2   8    0.170369        0.171806        0.14E-02
   4  10    0.278069E-01    0.276117E-01    0.20E-03
   4   6    0.755591E-01    0.736311E-01    0.19E-02
   2  10    0.126688        0.128854        0.22E-02
   2  10    0.126688        0.128854        0.22E-02
   8  10    0.349303E-02    0.335558E-02    0.14E-03
   2  10    0.126688        0.128854        0.22E-02
   0   2     3.10917         3.14159        0.32E-01
   2   2    0.802540        0.785398        0.17E-01
   8  10    0.349303E-02    0.335558E-02    0.14E-03
   8   6    0.160040E-01    0.153398E-01    0.66E-03
   2   6    0.245929        0.245437        0.49E-03
   6  10    0.886819E-02    0.862864E-02    0.24E-03
   0   4     2.30662         2.35619        0.50E-01
   2   2    0.802540        0.785398        0.17E-01
  10   4    0.285869E-01    0.276117E-01    0.98E-03
  10   0     1.53825         1.54625        0.80E-02
   6  10    0.886819E-02    0.862864E-02    0.24E-03
   8   0     1.71434         1.71806        0.37E-02
 
CIRCLE_INTEGRALS_TEST
  Normal end of execution.
 
07 September 2021   7:19:56.708 PM