Search:

Submit Article

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

Posted By: Easy Tutor     Category: C++ Programming     Views: 7661

## 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 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++;
}
}

{
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);

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

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

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

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++;
}
}
```
Share:

 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 Hello Friends,I am Free Lance Tutor, who helped student in completing their homework. I have 4 Years of hands on experience on helping student in completing their homework. I also guide them in doing their final year projects.I have share many programs on this website for everyone to use freely, if you need further assistance, than please contact me on easytutor.2ya [at the rate] gmail [dot] comI have special discount scheme for providing tutor services. I am providing tutor service to students from various contries, currently most of my students are from United States, India, Australia, Pakistan, Germany, UK and Canada. I am also here to expand my technical network to receive more opportunity in my career, make friends to help them in resolving their technical problem, learn and share my knowledge, If you like to be my friend, Please send me friend request.Thanks,Happy Programming :) View All Articles

 Please enter your CommentComment should be atleast 30 Characters.Please put code inside [Code] your code [/Code]. No Comment Found, Be the First to post comment!