06 June 2017 04:45:51 PM

CIRCLE_MONTE_CARLO_PRB
  C version
  Test the CIRCLE_MONTE_CARLO library.

CIRCLE01_SAMPLE_RANDOM_TEST:
  CIRCLE01_SAMPLE_RANDOM randomly samples the unit circle.
  Use it to estimate integrals.

         N        1              X^2             Y^2             X^4           X^2Y^2          Y^4          X^6

         1     6.283185307    0.2441759833     6.039009324  0.009489121827    0.2346868615     5.804322462  0.0003687644944
         2     6.283185307     3.631775183     2.651410124     2.862444826    0.7693303571     1.882079767     2.536846221
         4     6.283185307      3.83126133     2.451923977     3.120872701    0.7103886287     1.741535349     2.553703708
         8     6.283185307      3.51264362     2.770541687     2.672507315    0.8401363053     1.930405382     2.157828059
        16     6.283185307     3.087502919     3.195682388     2.170338736    0.9171641831     2.278518205     1.746503163
        32     6.283185307     2.698250915     3.584934393     1.866127586    0.8321233288     2.752811064     1.428158791
        64     6.283185307     3.087466528     3.195718779     2.311352582    0.7761139464     2.419604832     1.935186401
       128     6.283185307     3.487505436     2.795679871     2.663387216    0.8241182207      1.97156165     2.222914032
       256     6.283185307     3.153628068     3.129557239     2.410525257    0.7431028111     2.386454428     2.044177218
       512     6.283185307      3.24431894     3.038866367     2.455574755     0.788744185     2.250122182     2.066426983
      1024     6.283185307     3.091444649     3.191740658     2.317832834    0.7736118155     2.418128842      1.93113998
      2048     6.283185307     3.119792669     3.163392638     2.374915821    0.7448768479      2.41851579     2.004111132
      4096     6.283185307      3.13301505     3.150170257     2.339520208    0.7934948417     2.356675415     1.938207449
      8192     6.283185307     3.149728912     3.133456395     2.369810413    0.7799184993     2.353537896     1.977838483
     16384     6.283185307     3.147614686     3.135570622     2.366419828    0.7811948581     2.354375763     1.973984839
     32768     6.283185307     3.139921178     3.143264129     2.352150447    0.7877707313     2.355493397     1.958568671
     65536     6.283185307     3.146105523     3.137079784     2.360477601    0.7856279224     2.351451861     1.966727948

     Exact     6.283185307     3.141592654     3.141592654      2.35619449    0.7853981634      2.35619449     1.963495408

CIRCLE01_SAMPLE_ERGODIC_TEST:
  CIRCLE01_SAMPLE_RANDOM randomly samples the unit circle.
  Use it to estimate integrals.

         N        1              X^2             Y^2             X^4           X^2Y^2          Y^4          X^6

         1     6.283185307     6.283185307               0     6.283185307               0               0     6.283185307
         2     6.283185307     4.849716988      1.43346832     4.070321825    0.7793951631    0.6540731564     3.646554649
         4     6.283185307     3.018369913     3.264815394     2.250524732    0.7678451818     2.496970212     1.902971277
         8     6.283185307     3.049675381     3.233509926     2.300804618    0.7488707628     2.484639164     1.958708144
        16     6.283185307     3.117519265     3.165666042     2.379081125    0.7384381403     2.427227902     2.016396847
        32     6.283185307     3.219061499     3.064123808      2.43707687     0.781984629     2.282139179     2.047919031
        64     6.283185307      3.16392701     3.119258297     2.383917095     0.780009915     2.339248382     1.993699361
       128     6.283185307      3.16441952     3.118765787     2.385001988    0.7794175322     2.339348255     1.995559912
       256     6.283185307     3.156056777      3.12712853     2.371065206    0.7849915706      2.34213696     1.977888379
       512     6.283185307     3.140118921     3.143066386     2.355499644    0.7846192776     2.358447108     1.963715413
      1024     6.283185307     3.141618707       3.1415666     2.356986312    0.7846323959     2.356934204     1.964665182
      2048     6.283185307     3.143281658     3.139903649     2.357892798      0.78538886     2.354514789     1.965158523
      4096     6.283185307     3.141457119     3.141728188     2.356083522    0.7853735969     2.356354591      1.96343864
      8192     6.283185307     3.141500541     3.141684766     2.356149808     0.785350733     2.356334033     1.963507282
     16384     6.283185307     3.141591557      3.14159375      2.35624137    0.7853501875     2.356243562     1.963566493
     32768     6.283185307     3.141695988     3.141489319      2.35629807    0.7853979182     2.356091401     1.963597306
     65536     6.283185307     3.141585849     3.141599458     2.356188483    0.7853973656     2.356202093     1.963491738

     Exact     6.283185307     3.141592654     3.141592654      2.35619449    0.7853981634      2.35619449     1.963495408

CIRCLE_MONTE_CARLO_PRB
  Normal end of execution.

06 June 2017 04:45:51 PM