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//
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// Estimation of Pi using Monte Carlo exploration process
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// gcc -std=c99 -O3 -o Pi Pi.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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// 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 CONGfp CONG * 2.328306435454494e-10f |
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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 ITERATIONS 1000000000 |
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#ifdef LONG
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#define LENGTH unsigned long |
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#else
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#define LENGTH unsigned 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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unsigned int z=seed_z; |
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unsigned int w=seed_w; |
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unsigned long total=0; |
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for (LENGTH i=0;i<iterations;i++) { |
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float x=MWCfp ;
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float y=MWCfp ;
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// Matching test
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#ifdef IFSQRT
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if ( sqrt(x*x+y*y) < 1.0f ) { |
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total+=1;
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} |
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#elif IFWOSQRT
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if ( (x*x+y*y) < 1.0f ) { |
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total+=1;
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} |
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#else
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int inside=((x*x+y*y) < 1.0f) ? 1:0; |
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total+=inside; |
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#endif
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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=10,seed_z=10; |
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LENGTH iterations=ITERATIONS; |
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if (argc > 1) { |
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iterations=(LENGTH)atol(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\t\t#1 : number of iterations (default 1 billion)\n\n");
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} |
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float pi=(float)MainLoopGlobal(iterations,seed_w,seed_z)/(float)iterations*4; |
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printf("\tPi=%.40f\n\twith error %.40f\n\twith %lu iterations\n\n",pi,
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fabs(pi-4*atan(1))/pi,(unsigned long)iterations); |
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} |