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Program to computes the product of two matrices of size 4x4 using Divide and Conquer Strategy

Posted By: Easy Tutor     Category: C++ Programming     Views: 3820

A C++ Program to computes the product of two matrices of size 4x4 using Divide and Conquer Strategy.

Code for Program to computes the product of two matrices of size 4x4 using Divide and Conquer Strategy in C++ Programming

 # include <iostream.h>
 # include    <conio.h>

 int matrix_A[4][4]={0};
 int matrix_B[4][4]={0};
 int matrix_C[4][4]={0};

 void get_matrix_A( );
 void get_matrix_B( );
 void multiply_matrices( );
 void show_matrix_C( );

 void add_2x2_matrices(constint [2][2],constint [2][2],int [2][2]);
 void multiply_2x2_matrices(constint [2][2],constint [2][2],int [2][2]);


 int main( )
 {
    clrscr( );
    textmode(C4350);

    get_matrix_A( );
    get_matrix_B( );
    multiply_matrices( );
    show_matrix_C( );

    cout<<"\n\n\n\n\n Press any key to exit...";

    getch( );
    return 0;
 }


 /***********************************************************************///--------------------------  get_matrix_A( )  ------------------------///***********************************************************************/void get_matrix_A( )
 {
    gotoxy(1,2);
    cout<<" Enter the values of Matrix-A row by row :\n "<<endl;

    cout<<"\t\t\t Ú                     ¿"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t À                     Ù"<<endl;

    gotoxy(18,6);
    cout<<" A  = "<<endl;

    int x=28;
    int y=5;

    for(int i=0;i<4;i++)
    {
       for(int j=0;j<4;j++)
       {
      gotoxy(x,y);
      cin>>matrix_A[i][j];

      x+=5;
       }

       x=28;
       y++;
    }
 }

 /***********************************************************************///-------------------------  get_matrix_B( )  -------------------------///***********************************************************************/void get_matrix_B( )
 {
    gotoxy(1,15);
    cout<<" Enter the values of Matrix-B row by row :\n "<<endl;

    cout<<"\t\t\t Ú                     ¿"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t À                     Ù"<<endl;

    gotoxy(18,19);
    cout<<" B  = "<<endl;

    int x=28;
    int y=18;

    for(int i=0;i<4;i++)
    {
       for(int j=0;j<4;j++)
       {
      gotoxy(x,y);
      cin>>matrix_B[i][j];

      x+=5;
       }

       x=28;
       y++;
    }
 }

 /*************************************************************************///------------------------  add_2x2_matrices( )  ------------------------///*************************************************************************/void add_2x2_matrices(constint a[2][2],constint b[2][2],int c[2][2])
 {
    for(int i=0;i<2;i++)
    {
       for(int j=0;j<2;j++)
      c[i][j]=(a[i][j]+b[i][j]);
    }
 }

 /*************************************************************************///----------------------  multiply_2x2_matrices( )  ---------------------///*************************************************************************/void multiply_2x2_matrices(constint a[2][2],constint b[2][2],int c[2][2])
 {
    for(int i=0;i<2;i++)
    {
       for(int j=0;j<2;j++)
       {
      c[i][j]=0;

      for(int k=0;k<2;k++)
         c[i][j]+=(a[j][k]*b[k][j]);
       }
    }
 }

 /*************************************************************************///-----------------------  multiply_matrices( )  ------------------------///*************************************************************************/void multiply_matrices( )
 {
    int A11[2][2]={0};
    int A12[2][2]={0};
    int A21[2][2]={0};
    int A22[2][2]={0};

    int B11[2][2]={0};
    int B12[2][2]={0};
    int B21[2][2]={0};
    int B22[2][2]={0};

    int C11[2][2]={0};
    int C12[2][2]={0};
    int C21[2][2]={0};
    int C22[2][2]={0};

    int i;
    int j;

    for(i=0;i<2;i++)
    {
       for(j=0;j<2;j++)
       {
      A11[i][j]=matrix_A[i][j];
      B11[i][j]=matrix_B[i][j];
       }
    }

    for(i=0;i<2;i++)
    {
       for(j=2;j<4;j++)
       {
      A12[i][(j-2)]=matrix_A[i][j];
      B12[i][(j-2)]=matrix_B[i][j];
       }
    }

    for(i=2;i<4;i++)
    {
       for(j=0;j<2;j++)
       {
      A21[(i-2)][j]=matrix_A[i][j];
      B21[(i-2)][j]=matrix_B[i][j];
       }
    }

    for(i=2;i<4;i++)
    {
       for(j=2;j<4;j++)
       {
      A22[(i-2)][(j-2)]=matrix_A[i][j];
      B22[(i-2)][(j-2)]=matrix_B[i][j];
       }
    }

    int Temp1[2][2]={0};
    int Temp2[2][2]={0};

    multiply_2x2_matrices(A11,B11,Temp1);
    multiply_2x2_matrices(A12,B21,Temp2);
    add_2x2_matrices(Temp1,Temp2,C11);

    multiply_2x2_matrices(A11,B12,Temp1);
    multiply_2x2_matrices(A12,B22,Temp2);
    add_2x2_matrices(Temp1,Temp2,C12);

    multiply_2x2_matrices(A21,B11,Temp1);
    multiply_2x2_matrices(A22,B21,Temp2);
    add_2x2_matrices(Temp1,Temp2,C21);

    multiply_2x2_matrices(A21,B12,Temp1);
    multiply_2x2_matrices(A22,B22,Temp2);
    add_2x2_matrices(Temp1,Temp2,C22);

    for(i=0;i<2;i++)
    {
       for(j=0;j<2;j++)
      matrix_C[i][j]=C11[i][j];
    }

    for(i=0;i<2;i++)
    {
       for(j=2;j<4;j++)
      matrix_C[i][j]=C12[i][(j-2)];
    }

    for(i=2;i<4;i++)
    {
       for(j=0;j<2;j++)
      matrix_C[i][j]=C21[(i-2)][j];
    }

    for(i=2;i<4;i++)
    {
       for(j=2;j<4;j++)
      matrix_C[i][j]=C22[(i-2)][(j-2)];
    }
 }

 /***********************************************************************///------------------------  show_matrix_C( )  -------------------------///***********************************************************************/void show_matrix_C( )
 {
    gotoxy(1,28);
    cout<<" Values of Matrix-C row by row :\n "<<endl;

    cout<<"\t\t\t Ú                     ¿"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t ³                     ³"<<endl;
    cout<<"\t\t\t À                     Ù"<<endl;

    gotoxy(18,32);
    cout<<" C  = "<<endl;

    int x=28;
    int y=31;

    for(int i=0;i<4;i++)
    {
       for(int j=0;j<4;j++)
       {
      gotoxy(x,y);
      cout<<matrix_C[i][j];

      x+=5;
       }

       x=28;
       y++;
    }
 }
  
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Easy Tutor
Easy Tutor author of Program to computes the product of two matrices of size 4x4 using Divide and Conquer Strategy is from United States. Easy Tutor says

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