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Computer Oriented Statistical Methods/Gauss_Elimination.c
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Computer Oriented Statistical Methods/Gauss_Elimination.c
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#include<stdio.h>
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#include<conio.h>
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void display(float a[20][20],int n)
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{
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int i,j;
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for(i=0;i<n;i++)
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{
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for(j=0;j<=n;j++)
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{
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printf("%.2f \t",a[i][j]);
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}
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printf("\n");
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}
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}
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float interchange(float m[20][20],int i,int n)
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{
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float tmp[20][20];
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float max=fabs(m[i][i]);
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int j,k=i;
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for(j=i;j<n;j++)
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{
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if(max<fabs(m[j][i]))
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{
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max=fabs(m[j][i]);
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k=j;
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}
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}
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for(j=0;j<=n;j++)
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{
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tmp[i][j]=m[i][j];
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m[i][j]=m[k][j];
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m[k][j]=tmp[i][j];
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}
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return m[20][20];
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}
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float eliminate(float m[20][20],int i,int n)
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{
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float tmp;
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int k=1,l,j;
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for(j=i;j<n-1;j++)
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{
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tmp=-((m[i+k][i])/(m[i][i]));
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for(l=0;l<=n;l++)
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{
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m[i+k][l]=(m[i+k][l])+(m[i][l]*tmp);
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}
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k++;
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}
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return m[20][20];
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}
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void main()
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{
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int i,j,n,k=0,l;
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float m[20][20],mul,tmp[20][20],val,ans[20];
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clrscr();
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printf("Total No.of Equations : ");
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scanf("%d",&n);
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printf("\n");
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for(i=0;i<n;i++)
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{
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printf("Enter Co-efficient Of Equations %d & Total --->>>\n",i+1);
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for(j=0;j<=n;j++)
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{
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printf("r%d%d : ",i,j);
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scanf("%f",&m[i][j]);
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}
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printf("\n");
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}
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printf(":::::::::::: Current Matrix ::::::::::::\n\n");
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display(m,n);
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for(i=0;i<n-1;i++)
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{
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printf("\n------->>>>>>>>>>>>>>>>>>>>>>>>-------- %d\n",i+1);
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m[20][20]=interchange(m,i,n);
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display(m,n);
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printf("\n_______________________________________\n");
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m[20][20]=eliminate(m,i,n);
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display(m,n);
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}
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printf("\n\n Values are : \n");
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for(i=n-1;i>=0;i--)
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{
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l=n-1;
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mul=0;
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for(j=0;j<k;j++)
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{
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mul=mul+m[i][l]*ans[l];
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l--;
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}
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k++;
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ans[i]=(m[i][n]-mul)/m[i][i];
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printf("X%d = %.2f\n",i+1,ans[i]);
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}
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getch();
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}
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