Centre Blaise Pascal » Bench4GPU

//

// Estimation of Pi using Monte Carlo exploration process

// Cecill v2 Emmanuel QUEMENER <emmanuel.quemener@gmail.com>

// gcc -std=c99 -O3 -o Pi_MPI Pi_MPI.c -lm

// Needed for gethostname

#define _DEFAULT_SOURCE

#include <sys/unistd.h>

#include <math.h>

#include <stdio.h>

#include <stdlib.h>

#include <limits.h>

#include <mpi.h>

#include <stddef.h>

#include <sys/time.h>

// Marsaglia RNG very simple implementation

#define znew  ((z=36969*(z&65535)+(z>>16))<<16)

#define wnew  ((w=18000*(w&65535)+(w>>16))&65535)

#define MWC   (znew+wnew)

#define SHR3  (jsr=(jsr=(jsr=jsr^(jsr<<17))^(jsr>>13))^(jsr<<5))

#define CONG  (jcong=69069*jcong+1234567)

#define KISS  ((MWC^CONG)+SHR3)

#define MWCfp MWC * 2.328306435454494e-10f

#define KISSfp KISS * 2.328306435454494e-10f

#define SHR3fp SHR3 * 2.328306435454494e-10f

#define CONGfp CONG * 2.328306435454494e-10f

#define ITERATIONS 1000000000

#ifdef LONG

#define LENGTH long long

#else

#define LENGTH int

#endif

typedef struct compute_node {

        LENGTH inside;

        long int useconds;

} result;

unsigned int rotl(unsigned int value, int shift) {

    return (value << shift) | (value >> (sizeof(value) * CHAR_BIT - shift));

}

unsigned int rotr(unsigned int value, int shift) {

    return (value >> shift) | (value << (sizeof(value) * CHAR_BIT - shift));

}

LENGTH MainLoopGlobal(LENGTH iterations,unsigned int seed_w,unsigned int seed_z)

{

#if defined TCONG

   unsigned int jcong=seed_z;

#elif defined TSHR3

   unsigned int jsr=seed_w;

#elif defined TMWC

   unsigned int z=seed_z;

   unsigned int w=seed_w;

#elif defined TKISS

   unsigned int jcong=seed_z;

   unsigned int jsr=seed_w;

   unsigned int z=seed_z;

   unsigned int w=seed_w;

#endif

  LENGTH total=0;

   for (LENGTH i=0;i<iterations;i++) {

#if defined TINT32

    #define THEONE 1073741824

    #if defined TCONG

        unsigned int x=CONG>>17 ;

        unsigned int y=CONG>>17 ;

    #elif defined TSHR3

        unsigned int x=SHR3>>17 ;

        unsigned int y=SHR3>>17 ;

    #elif defined TMWC

        unsigned int x=MWC>>17 ;

        unsigned int y=MWC>>17 ;

    #elif defined TKISS

        unsigned int x=KISS>>17 ;

        unsigned int y=KISS>>17 ;

    #endif

#elif defined TINT64

    #define THEONE 4611686018427387904

    #if defined TCONG

        unsigned long x=(unsigned long)(CONG>>1) ;

        unsigned long y=(unsigned long)(CONG>>1) ;

    #elif defined TSHR3

        unsigned long x=(unsigned long)(SHR3>>1) ;

        unsigned long y=(unsigned long)(SHR3>>1) ;

    #elif defined TMWC

        unsigned long x=(unsigned long)(MWC>>1) ;

        unsigned long y=(unsigned long)(MWC>>1) ;

    #elif defined TKISS

        unsigned long x=(unsigned long)(KISS>>1) ;

        unsigned long y=(unsigned long)(KISS>>1) ;

    #endif

#elif defined TFP32

    #define THEONE 1.0f

    #if defined TCONG

        float x=CONGfp ;

        float y=CONGfp ;

    #elif defined TSHR3

        float x=SHR3fp ;

        float y=SHR3fp ;

    #elif defined TMWC

        float x=MWCfp ;

        float y=MWCfp ;

    #elif defined TKISS

      float x=KISSfp ;

      float y=KISSfp ;

    #endif

#elif defined TFP64

    #define THEONE 1.0f

    #if defined TCONG

        double x=(double)CONGfp ;

        double y=(double)CONGfp ;

    #elif defined TSHR3

        double x=(double)SHR3fp ;

        double y=(double)SHR3fp ;

    #elif defined TMWC

        double x=(double)MWCfp ;

        double y=(double)MWCfp ;

    #elif defined TKISS

        double x=(double)KISSfp ;

        double y=(double)KISSfp ;

    #endif

#endif

      // Matching test

      unsigned long inside=((x*x+y*y) < THEONE) ? 1:0;

      total+=inside;

   }

   return(total);

}

int main(int argc, char *argv[]) {

  unsigned int seed_z=362436069,seed_w=52128862;

  LENGTH iterations=ITERATIONS,inside[8192],insides,part_inside,part_iterations;

  int NumberProcesses,rank,rc,tag=1,i;

  char hostname[128];

  gethostname(hostname, sizeof hostname);

  struct timeval start,end;

  long int useconds;

  MPI_Status Stat;

  rc = MPI_Init(&argc,&argv);

  if (rc != MPI_SUCCESS) {

    printf ("Error starting MPI program. Terminating.\n");

    MPI_Abort(MPI_COMM_WORLD, rc);

  }

  MPI_Comm_size(MPI_COMM_WORLD,&NumberProcesses);

  MPI_Comm_rank(MPI_COMM_WORLD,&rank);

  const int nitems=2;

  int blocklengths[2] = {1,1};

#ifdef LONG

  MPI_Datatype types[2] = {MPI_LONG, MPI_LONG};

#else

  MPI_Datatype types[2] = {MPI_INT, MPI_LONG};

#endif

  MPI_Datatype mpi_result_type;

  MPI_Aint     offsets[2];

  offsets[0] = offsetof(result, inside);

  offsets[1] = offsetof(result, useconds);

  MPI_Type_create_struct(nitems, blocklengths, offsets, types, &mpi_result_type);

  MPI_Type_commit(&mpi_result_type);

  if (rank==0) {

    struct timeval tv1,tv2;

    if (argc > 1) {

      iterations=(LENGTH)atoll(argv[1]);

    }

    else {

      printf("\n\tPi : Estimate Pi with Monte Carlo exploration\n\n");

      printf("\t\t#1 : number of iterations (default 1 billion)\n\n");

    }

    printf ("\tSizeof int = %lld bytes.\n", (long long)sizeof(int));

    printf ("\tSizeof long = %lld bytes.\n", (long long)sizeof(long));

    printf ("\tSizeof long long = %lld bytes.\n", (long long)sizeof(long long));

    printf ("\tMax int = %u\n", INT_MAX);

    printf ("\tMax long = %ld\n", LONG_MAX);

    printf ("\tMax long long = %lld\n\n", LLONG_MAX);

    part_iterations=((iterations%NumberProcesses) == 0) ? iterations/NumberProcesses:iterations/NumberProcesses+1 ;

    gettimeofday(&tv1, NULL);

    // Split part of code

    for (i=1;i<NumberProcesses;i++) {

#ifdef LONG

      rc = MPI_Send(&part_iterations, 1, MPI_LONG_LONG, i, tag, 

                    MPI_COMM_WORLD);

#else

      rc = MPI_Send(&part_iterations, 1, MPI_INT, i, tag, 

                    MPI_COMM_WORLD);

#endif

    }

    gettimeofday(&start,(struct timezone *)0);

    insides=MainLoopGlobal(part_iterations,seed_w,seed_z);

    gettimeofday(&end,(struct timezone *)0);

    useconds=(end.tv_sec-start.tv_sec)*1000000+end.tv_usec-start.tv_usec;

    printf("\tOn %s with rank %i, find %lld inside in %lu useconds.\n",

             hostname,rank,(long long)insides,useconds);

    // Join part of code

      for (i=1;i<NumberProcesses;i++) {

        result recv;

        rc = MPI_Recv(&recv, 1, mpi_result_type, i, tag, 

                      MPI_COMM_WORLD, &Stat);

        inside[i]=recv.inside;

        useconds=recv.useconds;

        printf("\tReceive from %i, find %lld inside in %lu useconds\n",i,(long long)inside[i],useconds);

        insides+=inside[i];

      }

      float pi=4.*(float)insides/(float)(part_iterations*NumberProcesses);

      gettimeofday(&tv2, NULL);

      double elapsed=(double)((tv2.tv_sec-tv1.tv_sec) * 1000000L +

                              (tv2.tv_usec-tv1.tv_usec))/1000000;

      double itops=(double)(part_iterations*NumberProcesses)/elapsed;

      printf("\nParallelRate %i\nElapsed Time %.2f\nItops %.0f\nLogItops %.2f\n",NumberProcesses,elapsed,itops,log10(itops));

      LENGTH total=((iterations%NumberProcesses)==0)?iterations:(iterations/NumberProcesses+1)*NumberProcesses;

      printf("Inside/Total %ld %ld\nPi estimation %f\n\n",(long int)insides,(long int)total,(4.*(float)insides/total));

  }

  else

    {

      // Receive information from master

#ifdef LONG

      rc = MPI_Recv(&part_iterations, 1, MPI_LONG_LONG, 0, tag, 

                    MPI_COMM_WORLD, &Stat);

#else

      rc = MPI_Recv(&part_iterations, 1, MPI_INT, 0, tag, 

                    MPI_COMM_WORLD, &Stat);

#endif

      /*      Not such a good idea to print information... 

              printf("\tOn %s with rank %i, receive from master %lld\n",

              hostname,rank,(long long)part_iterations); */

      gettimeofday(&start,(struct timezone *)0);

      part_inside=MainLoopGlobal(part_iterations,rotr(seed_w,rank),rotl(seed_z,rank));

      gettimeofday(&end,(struct timezone *)0);

      useconds=(end.tv_sec-start.tv_sec)*1000000+end.tv_usec-start.tv_usec;

      /*      

      printf("\tOn %s with rank %i, find %lld inside in %lu useconds.\n",

             hostname,rank,(long long)part_inside,useconds);

      */

      result send;

      send.inside=part_inside;

      send.useconds=useconds;

      rc = MPI_Send(&send, 1, mpi_result_type, 0, tag, MPI_COMM_WORLD);

    }

  MPI_Type_free(&mpi_result_type);  

  MPI_Finalize();

}