23 September 2023   2:55:00.262 PM      
 
circle_integrals_test():
  FORTRAN77 version
  Test circle_integrals().
 
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

  10   6    0.812931E-02    0.862864E-02    0.50E-03
   0   6     2.01266         1.96350        0.49E-01
  10   6    0.812931E-02    0.862864E-02    0.50E-03
   6  10    0.825513E-02    0.862864E-02    0.37E-03
   6   6    0.290444E-01    0.306796E-01    0.16E-02
   6   4    0.699347E-01    0.736311E-01    0.37E-02
   2   6    0.242124        0.245437        0.33E-02
   8   2    0.168632        0.171806        0.32E-02
   2   4    0.382608        0.392699        0.10E-01
   8   8    0.632997E-02    0.671117E-02    0.38E-03
   6   4    0.699347E-01    0.736311E-01    0.37E-02
   4   8    0.415049E-01    0.429515E-01    0.14E-02
   8   8    0.632997E-02    0.671117E-02    0.38E-03
  10   0     1.57835         1.54625        0.32E-01
   0  10     1.59896         1.54625        0.53E-01
   4   8    0.415049E-01    0.429515E-01    0.14E-02
   2   2    0.761660        0.785398        0.24E-01
   8   2    0.168632        0.171806        0.32E-02
   2   6    0.242124        0.245437        0.33E-02
   2   8    0.171575        0.171806        0.23E-03
 
circle_integrals_test():
  Normal end of execution.
 
23 September 2023   2:55:00.264 PM