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