23 September 2023   4:26:56.985 PM      
 
circle_monte_carlo_test():
  FORTRAN77 version
  Test circle_monte_carlo().
 
TEST01
  Use CIRCLE01_SAMPLE to estimate integrals 
  along the length of the unit circle in 2D.
 
         N        1              X^2             Y^2             X^4           X^2Y^2             Y^4           X^6
 
         1     6.28319        0.244176         6.03901        0.948912E-02    0.234687         5.80432        0.368764E-03
         2     6.28319         3.63178         2.65141         2.86244        0.769330         1.88208         2.53685    
         4     6.28319         3.83126         2.45192         3.12087        0.710389         1.74154         2.55370    
         8     6.28319         3.51264         2.77054         2.67251        0.840136         1.93041         2.15783    
        16     6.28319         3.08750         3.19568         2.17034        0.917164         2.27852         1.74650    
        32     6.28319         2.69825         3.58493         1.86613        0.832123         2.75281         1.42816    
        64     6.28319         3.08747         3.19572         2.31135        0.776114         2.41960         1.93519    
       128     6.28319         3.48751         2.79568         2.66339        0.824118         1.97156         2.22291    
       256     6.28319         3.15363         3.12956         2.41053        0.743103         2.38645         2.04418    
       512     6.28319         3.24432         3.03887         2.45557        0.788744         2.25012         2.06643    
      1024     6.28319         3.09144         3.19174         2.31783        0.773612         2.41813         1.93114    
      2048     6.28319         3.11979         3.16339         2.37492        0.744877         2.41852         2.00411    
      4096     6.28319         3.13302         3.15017         2.33952        0.793495         2.35668         1.93821    
      8192     6.28319         3.14973         3.13346         2.36981        0.779918         2.35354         1.97784    
     16384     6.28319         3.14761         3.13557         2.36642        0.781195         2.35438         1.97398    
     32768     6.28319         3.13992         3.14326         2.35215        0.787771         2.35549         1.95857    
     65536     6.28319         3.14611         3.13708         2.36048        0.785628         2.35145         1.96673    
 
     Exact     6.28319         3.14159         3.14159         2.35619        0.785398         2.35619         1.96350    
 
circle_monte_carlo_test():
  Normal end of execution.
 
23 September 2023   4:26:57.005 PM