📄 xmgfas.cpp
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#include <iostream>
#include <iomanip>
#include <cmath>
#include "nr.h"
using namespace std;
// Driver for routine mgfas
int main(void)
{
const int NSTEP=4,JMAX=33;
int i,j,midl=JMAX/2;
Mat_DP f(JMAX,JMAX),u(0.0,JMAX,JMAX);
u[midl][midl]=2.0;
NR::mgfas(u,2);
cout << "MGFAS solution:" << endl;
cout << fixed << setprecision(4);
for (i=0;i<JMAX;i+=NSTEP) {
for (j=0;j<JMAX;j+=NSTEP) cout << setw(8) << u[i][j];
cout << endl;
}
cout << endl << " Test that solution satisfies difference equations:";
cout << endl;
for (i=NSTEP;i<JMAX-1;i+=NSTEP) {
for (j=NSTEP;j<JMAX-1;j+=NSTEP)
f[i][j]=u[i+1][j]+u[i-1][j]+u[i][j+1]+u[i][j-1]-
4.0*u[i][j]+u[i][j]*u[i][j]/((JMAX-1)*(JMAX-1));
cout << " ";
for (j=NSTEP;j<JMAX-1;j+=NSTEP)
cout << setw(8) << f[i][j]*(JMAX-1)*(JMAX-1);
cout << endl;
}
return 0;
}
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