Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Matrix.h

#include <iostream>
#include <iomanip>
using namespace std;

#ifndef MATRIX_H
#define MATRIX_H
class Matrix
{
    friend ostream& operator<<(ostream& out, const Matrix& srcMatrix);
public:
    Matrix();
    // initialize Matrix class object with rowN=1, colN=1, and zero value
    Matrix(const int rN,const int cN );
    // initialize Matrix class object with row number rN, col number cN and zero values
    Matrix(const Matrix &srcMatrix );
    // initialize Matrix class object with another Matrix class object
    Matrix(const int rN, const int cN, const float *srcPtr); 
    // initialize Matrix class object with row number rN, col number cN and a pointer to an array

    const float * getData()const;
    // create a temp pointer and copy  the array values  which data pointer points,
    // then returns temp.
    int getRowN()const; // returns rowN
    int getColN()const; // returns colN
    void print()const;  // prints the Matrix object in rowNxcolN form
    Matrix transpose(); // takes the transpose of the matrix
    
    Matrix operator+(const Matrix &rhsMatrix)const;
    //+ operator which allows m1+m2 and returns a temp Matrix object 
    Matrix operator-(const Matrix &rhsMatrix)const;
    //- operator which allows m1-m2 and returns a temp Matrix object 
    Matrix operator*(const Matrix &rhsMatrix)const;
    //* operator which allows  product of m1*m2 
    //(element-wise) and returns a temp Matrix object 
    float operator()(const int r,const int c)const;
    //() operator which allows returning m1(r,c), 
    //m1(0,0) is on the first row, first col 
    
    Matrix& operator=(const Matrix &rhsMatrix);
    //= operator which allows m1=m2 and returns this pointer of m1
    Matrix& operator+=(const Matrix &rhsMatrix);
    //+= operator which allows m1+=m2 and returns this pointer of m1
    Matrix& operator-=(const Matrix &rhsMatrix);
    //-= operator which allows m1-=m2 and returns this pointer of m1
    Matrix& operator*=(const Matrix &rhsMatrix);
    //*= operator which allows m1*=m2 (element-wise) and returns this pointer of m1
    
    int operator==(const Matrix &rhsMatrix)const;
    //== operator which returns 1 if (m1==m2)
    int operator!=(const Matrix &rhsMatrix)const;
    //== operator which returns 1 if (m1!=m2)
    
private:
        
    //() operator which allows returning m1(r,c), 
    //m1(0,0) is on the first row,first col 
    int rowN, colN;
    float* data;
    // e.g: if pointer data points an array of [ 1, 2, 3, 4, 5, 6] and the rowN=3 and coln=2
    // matrix is actually 
    // 1 2 3
    // 4 5 6
};

#endif

testMatix.cpp

#include "Matrix.h"
#include <iostream>
#include <iomanip>

using namespace std;

int main()
{
    float arr1[]={1,2,3,4,5, 11,12,13,14,15, 21,22,23,24,25};
    float arr2[]={9,8,7,6,5, 19,18,17,16,15, 29,28,27,26,25};
    
    Matrix m1(3,5);
    Matrix m2(m1);
    Matrix m3(3,5,arr1);
    Matrix m4(3,5,arr2);
    
    //-------------------
    cout<<"m1(3,5)"<<endl;
    m1.print();
    cout<<"m2(m1)"<<endl;
    m2.print();
    cout<<"m3(3,5,arr1)"<<endl;
    m3.print();
    cout<<"m3.transpose()"<<endl;
    m3.transpose().print();
    cout<<"m4(3,5,arr2)"<<endl;
    m4.print();
    //------------------
    cout<<"elements=m3.getData()"<<endl;
    const float* const elements=m3.getData();
    const int rN=m3.getRowN();
    const int cN=m3.getColN();
    
    for (int i=0; i<rN; i++)
    {
        for (int j=0; j<cN; j++)
            cout<<setw(4)<<elements[i*cN+j];
        cout<<"\n";
    } 
    //-------------------

    
    cout<<"m3+=m4"<<endl;
    (m3+=m4).print();
    cout<<"m3-=m4"<<endl;
    (m3-=m4).print();
    cout<<"m3+m4"<<endl;
    (m3+m4).print(); 
    cout<<"m3"<<endl;
    m3.print();     
    cout<<"m3=m3+m4"<<endl;
    (m3=m3+m4).print();    
    cout<<"m3"<<endl;
    m3.print();  
    
    cout<<"m3(2,2)="<<m3(2,2)<<endl<<endl;  
    
    //---------------
    (m1==m2)?cout<<"m1==m2\n"<<endl:cout<<"m1!=m2\n"<<endl;
    (m3!=m4)?cout<<"m3!=m4\n"<<endl:cout<<"m3==m4\n"<<endl;
 
    cout<<"(m4*m4)\n";
    (m4*m4).print();
    //---------------
    
    //cout<<"(m4*m4)\n";
    
    //cout << (m4*m4) << endl;
    return 0;
}

1. Using the header file Matrix.h and testMatrix.cpp (check the course webpage)
a) Type the implementation file Matrix.cpp, compile your files and get an application file.
Hint: the use of the float* data pointer for a matrix object can be understood with the help of the following empty
constructor function
2
Matrix::Matrix ()
// initialize Matrix class object with rowN=1, colN=1, and zero value
{
}
rowN=1;
colN=1;
data=new float [rowN*colN];
for (int i=0; i<rowN; i++)
for (int j = 0; j<colN; j++)
data[i*colN+j]=0;
If colN=3 and rowN
m (i, j) will be data[i*3+j]
m (0,0), data [0*3+0] m (0,1), data [0*3+1] m (0,2), data [0*3+2]
m (1,0), data [1*3+0] m (1,1), data [1*3+1] m (1,2), data [1*3+2]
m (2,0), data [2*3+0] m (2,1), data [2*3+1] m (2,2), data [2*3+2]
Compile your codes, run your application file, and save the screen image of the shell window.
expand button
Transcribed Image Text:1. Using the header file Matrix.h and testMatrix.cpp (check the course webpage) a) Type the implementation file Matrix.cpp, compile your files and get an application file. Hint: the use of the float* data pointer for a matrix object can be understood with the help of the following empty constructor function 2 Matrix::Matrix () // initialize Matrix class object with rowN=1, colN=1, and zero value { } rowN=1; colN=1; data=new float [rowN*colN]; for (int i=0; i<rowN; i++) for (int j = 0; j<colN; j++) data[i*colN+j]=0; If colN=3 and rowN m (i, j) will be data[i*3+j] m (0,0), data [0*3+0] m (0,1), data [0*3+1] m (0,2), data [0*3+2] m (1,0), data [1*3+0] m (1,1), data [1*3+1] m (1,2), data [1*3+2] m (2,0), data [2*3+0] m (2,1), data [2*3+1] m (2,2), data [2*3+2] Compile your codes, run your application file, and save the screen image of the shell window.
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