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//
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// Estimation of Pi using Monte Carlo exploration process
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// Cecill v2 Emmanuel QUEMENER <emmanuel.quemener@gmail.com>
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// gcc -O3 -o Pi_Simple Pi_Simple.c -lm
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//
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#include <math.h> |
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#include <stdio.h> |
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#include <stdlib.h> |
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#include <limits.h> |
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#include <sys/time.h> |
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// Marsaglia RNG very simple implementation
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#define znew ((z=36969*(z&65535)+(z>>16))<<16) |
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#define wnew ((w=18000*(w&65535)+(w>>16))&65535) |
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#define MWC (znew+wnew)
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#define SHR3 (jsr=(jsr=(jsr=jsr^(jsr<<17))^(jsr>>13))^(jsr<<5)) |
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#define CONG (jcong=69069*jcong+1234567) |
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#define KISS ((MWC^CONG)+SHR3)
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#define MWCfp MWC*2.328306435454494e-10f |
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#define KISSfp KISS*2.328306435454494e-10f |
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#define SHR3fp SHR3*2.328306435454494e-10f |
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#define CONGfp CONG*2.328306435454494e-10f |
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#define ITERATIONS 1000000000 |
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#ifdef LONG
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#define LENGTH long long |
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#else
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#define LENGTH int |
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#endif
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LENGTH MainLoopGlobal(LENGTH iterations,unsigned int seed_w,unsigned int seed_z) |
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{ |
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#if defined TCONG
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unsigned int jcong=seed_z; |
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#elif defined TSHR3
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unsigned int jsr=seed_w; |
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#elif defined TMWC
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unsigned int z=seed_z; |
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unsigned int w=seed_w; |
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#elif defined TKISS
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unsigned int jcong=seed_z; |
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unsigned int jsr=seed_w; |
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unsigned int z=seed_z; |
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unsigned int w=seed_w; |
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#endif
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LENGTH total=0,i;
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unsigned long inside; |
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for (i=0;i<iterations;i++) { |
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#if defined TINT32
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#define THEONE 1073741824 |
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#if defined TCONG
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unsigned int x=CONG>>17 ; |
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unsigned int y=CONG>>17 ; |
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#elif defined TSHR3
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unsigned int x=SHR3>>17 ; |
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unsigned int y=SHR3>>17 ; |
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#elif defined TMWC
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unsigned int x=MWC>>17 ; |
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unsigned int y=MWC>>17 ; |
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#elif defined TKISS
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unsigned int x=KISS>>17 ; |
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unsigned int y=KISS>>17 ; |
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#endif
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#elif defined TINT64
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#define THEONE 4611686018427387904 |
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#if defined TCONG
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unsigned long x=(unsigned long)(CONG>>1) ; |
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unsigned long y=(unsigned long)(CONG>>1) ; |
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#elif defined TSHR3
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unsigned long x=(unsigned long)(SHR3>>1) ; |
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unsigned long y=(unsigned long)(SHR3>>1) ; |
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#elif defined TMWC
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unsigned long x=(unsigned long)(MWC>>1) ; |
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unsigned long y=(unsigned long)(MWC>>1) ; |
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#elif defined TKISS
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unsigned long x=(unsigned long)(KISS>>1) ; |
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unsigned long y=(unsigned long)(KISS>>1) ; |
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#endif
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#elif defined TFP32
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#define THEONE (float)1.0f |
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#if defined TCONG
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float x=CONGfp ;
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float y=CONGfp ;
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#elif defined TSHR3
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float x=SHR3fp ;
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float y=SHR3fp ;
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#elif defined TMWC
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float x=MWCfp ;
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float y=MWCfp ;
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#elif defined TKISS
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float x=KISSfp ;
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float y=KISSfp ;
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#endif
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#elif defined TFP64
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#define THEONE (double)1.0f |
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#if defined TCONG
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double x=(double)CONGfp ; |
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double y=(double)CONGfp ; |
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#elif defined TSHR3
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double x=(double)SHR3fp ; |
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double y=(double)SHR3fp ; |
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#elif defined TMWC
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double x=(double)MWCfp ; |
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double y=(double)MWCfp ; |
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#elif defined TKISS
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double x=(double)KISSfp ; |
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double y=(double)KISSfp ; |
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#endif
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#endif
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inside=((x*x+y*y) < THEONE) ? 1:0; |
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total+=inside; |
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} |
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return(total);
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} |
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int main(int argc, char *argv[]) { |
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unsigned int seed_w=110271,seed_z=101008; |
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LENGTH iterations=ITERATIONS,inside=0;
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struct timeval tv1,tv2;
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struct timezone tz;
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if (argc > 1) { |
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iterations=(LENGTH)atoll(argv[1]);
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} |
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else {
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printf("\n\tPi : Estimate Pi with Monte Carlo exploration\n\n");
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printf("\t\t#1 : number of iterations (default 1 billion)\n");
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} |
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printf ("\n\tInformation about architecture:\n\n");
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printf ("\tSizeof int = %lld bytes.\n", (long long)sizeof(int)); |
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printf ("\tSizeof long = %lld bytes.\n", (long long)sizeof(long)); |
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printf ("\tSizeof long long = %lld bytes.\n\n", (long long)sizeof(long long)); |
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printf ("\tMax int = %u\n", INT_MAX);
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printf ("\tMax long = %ld\n", LONG_MAX);
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printf ("\tMax long long = %lld\n\n", LLONG_MAX);
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// Set start timer
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gettimeofday(&tv1, &tz); |
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inside=MainLoopGlobal(iterations,seed_w,seed_z); |
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// Set stop timer
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gettimeofday(&tv2, &tz); |
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double elapsed=(double)((tv2.tv_sec-tv1.tv_sec) * 1000000L + |
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(tv2.tv_usec-tv1.tv_usec))/1000000;
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double itops=(double)(iterations)/elapsed; |
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printf("Inside/Total %lld %lld\nElapsed Time %.2f\nItops %.0f\nPi estimation %f\n\n",inside,iterations,elapsed,itops,(4.*(float)inside/(float)(iterations))); |
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printf("\n\n");
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return 0; |
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} |