Matrix-Vector Multiplication using friend function

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Bartholomew Parsons
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1 Ex.No Matrix-Vector Multiplication using friend function Aim: To write C++ program to define matrix and vector class, to use function with default argument and to do matrix-vector multiplication using friend function. Algorithm: 1. Declare vector Class 2. Define matrix Class 3. Declare friend function multiply() inside the matrix class 4. Define vector Class 5. Define a static variable in both class to count the No. of objects created. 6. Declare friend function multiply() inside the vector class 7. Define getvector() function with for loop to get the elements for vector 8. Define disvector() function with for loop to display the contents of vector 9. Define getmatrix() function with nested for loops to get the matrix elements 10. Define dismatrix() function with nested for loops to display the matrix 11. Define the multiply() to multiply matrix and vector a. No of Rows in the matrix should be equal to no. of elements in the vector b. Apply the matrix-vector multiplication mechanism: c. Display the resultant matrix in the screen 12. Define main() to create objects and to call the defined functions. Program: #include<iostream.h> #include<conio.h> class Vector; //class declaration needed, because this class referred before it is defined in the //friend function. class Matrix

2 int m[10][10]; int row,col; static int mcount; public: void getmatrix(void); void dispmatrix(void); void dispmcount(); friend void multiply(matrix &, Vector &); ; class Vector int v[10]; int size; static int vcount; public: //default argument is 3 void getvector(int n=3); void dispvector(void); void dispvcount(); friend void multiply(matrix &, Vector &); ; int Matrix::mcount; int Vector::vcount; void Vector::getVector(int n) int i; vcount++; size=n; cout<<"\nenter elements for vector one by one...\n"; for(i=0;i<n;i++) cin>>v[i];

3 void Vector::dispVector() int i; cout<<"\nthe vector elements are...\n"; for ( i=0 ; i<size ; i++ ) cout<<v[i]<<"\t"; void Vector::dispVcount() cout<<"\nno.of Vector objects created:"<<vcount; void Matrix::getMatrix() int i,j; mcount++; cout<<"\nenter the No.of rows and No.of col of the matrix:"; cout<< \nenter the Row Size : ; cin>>row; cout<< \nenter the Column Size : ; cin>>col; cout<<"\nenter the matrix elements:\n"; for(i=0;i<row;i++) for(j=0;j<col;j++) cin>>m[i][j]; void Matrix::dispMatrix() int i, j; cout<<"\nentered matrix is...\n"; for(i=0;i<row;i++)

4 for(j=0;j<col;j++) cout<<m[i][j]<<"\t"; cout<<"\n"; void Matrix::dispMcount() cout<<"\nno.of Matrix objects created:"<<mcount; void multiply(matrix &m1, Vector &v1) int ans[10], i, j; if(v1.size == m1.row) cout<<"\nthe resultant matrix...\n"; for(i=0;i<row;i++) ans[i]=0; for(j=0;j<col;j++) ans[i]+=m1.m[i][j] * v1.v[j]; cout<<ans[i]<<"\t"; else cout<< No of Rows in the matrix should be equal to no. of elements in the vector ; void main() clrscr();

5 int op,ch=1; Vector V; Matrix M; while(ch==1) cout<< \n \n \n \n ; cout<< \nenter Your Option: ; cin>>op; switch(op) case 1: V.getVector(); M.getMatrix(); case 2: V.dispVector(); M.dispMatrix(); case 3: multiply(m,v) case 4: V.dispVcount(); M.dispMcount(); cout<< \npress 1 to continue ; cin>>ch; getch();

6 Input / Output: Enter Your Option:1 Enter elements for vector one by one Enter the No.of rows and No.of col of the matrix: Enter the Row Size : 3 Enter the Column Size : 2 Enter the matrix elements: Press 1 to continue Enter Your Option:2 The vector elements are Entered matrix is

7 2 4 Press 1 to continue1 Enter Your Option: 3 The resultant matrix Press 1 to continue1 Enter Your Option:4 No.Of Vector objects created:1 No.Of Matrix objects created:1 Press 1 to continue1 Enter Your Option:5 Result: Thus the above program defined matrix and vector class, the function getvector defined with default argument used to define the size of the vector and the matrix-vector multiplication done by using friend function.

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Downloaded from Unit-II Data Structure Arrays, Stacks, Queues And Linked List Chapter: 06 In Computer Science, a data structure is a particular way of storing and organizing data in a computer so that it can be used efficiently.