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<html><head><title>C Version of OpenMP Laplacian Solver</title><link rel="stylesheet" href="/MULTI/parcomp.css"></head><body><h2>C Version of Laplace Program with OpenMP Parallelism</h2>In the OpenMP C library, the reduction clause can onlybe used for mathematical operations. In this code, thereduction variable dumax is calculated by comparison ofvalues to determine the maximum. Thus, we had to usea CRITICAL region to insure that dumax is updated correctlyby each processor.<p><FONT FACE="COURIER NEW"><pre>#include &lt;stdio.h&gt;#include &lt;stdlib.h&gt;#include &lt;math.h&gt;#include &lt;omp.h&gt;main(int argc, char* argv[]) {        const int imax=2001,jmax=2001;        const int itmax=100;        int it;        double u[imax][jmax], du[imax][jmax],dumax;        const double umax=10.0;        int i,j;        omp_set_num_threads(4);#pragma omp parallel default(shared) private(i,j,it)          {#pragma omp for schedule(static)           for(j=0;j&lt;jmax;++j) {            for(i=0;i&lt;(imax-1);++i) {              u[i][j]=0.0;              du[i][j]=0.0;            }            u[imax-1][j]=umax;          }        // Main Computation Loop        for(it=0;it&lt;itmax;++it) {#pragma omp single            dumax=0.0; #pragma omp for schedule(static)           for (j=1;j&lt;(jmax-1);++j) {            for (i=1;i&lt;(imax-1);++i) {              du[i][j]=0.25*(u[i-1][j]+u[i+1][j]+u[i][j-1]+u[i][j+1])                             -u[i][j];#pragma omp critical         {           if (dumax < fabs(du[i][j]))            dumax=fabs(du[i][j]);        }            }          }           #pragma omp for schedule(static)           for (j=1;j&lt;(jmax-1);++j) {            for (i=1;i&lt;(imax-1);++i) {               u[i][j]=u[i][j]+du[i][j];            }          }#pragma omp single          printf("%d %g\n",it,dumax);        }      }}</pre></FONT></body></html>

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