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// PHYS 30762 Programming in C++
// Assignment 6
// A matrix class - skeleton code
// You are advised to write your own code from scratch but
// you may use this code if you do not know how to get started.
// Note: for longer functions, you are advised to prototype them
// within class and put the function code itself immediately below class.
#include<iostream>
using namespace std;
class Matrix
{
// Friends
friend ostream & operator<<(ostream &os, const Matrix &mat);
private:
double *MatrixData;
int Rows,Columns;
public:
// Default constructor
Matrix(){MatrixData=0; Rows=Columns=0;}
// Parameterized constructor
Matrix(int MatrixRow, int MatrixColumn)
{
Rows=MatrixRow;
Columns=MatrixColumn;
int Size=MatrixRow*MatrixColumn;
MatrixData=new double[Size];
for(int i=0; i<Size; i++)
{
MatrixData[i]=0;
}
}
// Copy constructor
Matrix::Matrix(const Matrix &MatrixGroup)
{
MatrixData=0;
Rows=MatrixGroup.GetRows();
Columns=MatrixGroup.GetColumns();
int Size=MatrixGroup.GetRows()*MatrixGroup.GetColumns();
if(Size>0)
{
MatrixData=new double[Size];
for(int i=0; i<Size; i++)
{
MatrixData[i]=MatrixGroup.MatrixData[i];
}
}
}
Matrix & Matrix::operator=(const Matrix &MatrixGroup)
{
if(&MatrixGroup==this) return *this;
delete[] MatrixData;
MatrixData=0;
int Size=0;
Size=MatrixGroup.GetRows()*MatrixGroup.GetColumns();
if(Size>0)
{
MatrixData=new double[Size];
for(int i=0; i<Size; i++)
{MatrixData[i]=MatrixGroup.MatrixData[i];}
}
else{cout<<"Error: Out of Range"<<endl; exit(1);}
return *this;
}
// Destructor
~Matrix(){delete[] MatrixData;}
// Access functions
int GetRows() const {return Rows;} // Return number of rows
int GetColumns() const {return Columns;} // Return number of columns
int SetRowsColumns(int a, int b) const {a=Rows; b=Columns; return 0;}
int Index(int m, int n) const // Return position in array of element (m,n)
{
if(m>0 && m<=Rows && n>0 && n<=Columns)
{
return (n-1)+(m-1)*Columns;
}
else {cout<<"Error: out of range"<<endl; exit(1);}
}
double & operator()(int m, int n) {return MatrixData[Index(m,n)];}
// Other access functions go here
double SetMatrixData(int a, int b, double c)
{
MatrixData[Index(a,b)]=c;
return 0;
}
double GetMatrixGroup(int a)
{return MatrixData[a];}
double GetMatrixData(int a, int b) const
{return MatrixData[Index(a,b)];}
// Other functions
// Assignment operator
// Addition, subtraction and multiplication
//Addition
Matrix operator+(const Matrix &x)
{
if(Rows == x.GetRows() && Columns == x.GetColumns())
{
int Size =x.GetRows()*x.GetColumns();
Matrix Temp(x.GetRows(),x.GetColumns());
for(int i=0; i<Size; i++)
{
Temp.MatrixData[i]=MatrixData[i]+x.MatrixData[i];
}
return Temp;
}
else
{
cout<<"matrices not the same size"<<endl;
exit (1);
}
}
//Subtraction
Matrix operator-(const Matrix &x)
{
if(Rows == x.GetRows() && Columns == x.GetColumns())
{
int Size =x.GetRows()*x.GetColumns();
Matrix Temp(x.GetRows(), x.GetColumns());
for(int i=0; i<Size; i++)
{
Temp.MatrixData[i]=MatrixData[i]-x.MatrixData[i];
}
return Temp;
}
else
{
cout<<"matrices not the same size"<<endl;
exit (1);
}
}
//========================================================================
// multiplcation
Matrix operator*(const Matrix &x)
{
if(Rows == x.GetColumns() && Columns==x.GetRows())
{
Matrix Temp1(Rows,x.GetColumns());
for(int i=1;i<=Rows;i++)
{ for(int j=1; j<=x.GetColumns();j++)
{ for( int k=1; k<=x.Rows;k++)
{
Temp1.SetMatrixData(i,j,(MatrixData[Index(j,k)]+x.GetMatrixData(k,j)));
}
}
}
return Temp1;
}
else{cout<<"incorrect matrices dimensions"<<endl;
exit (1);}
return x;
}
//========================================================================
// Transpose
Matrix Transpose() const
{
//int Size=Columns*Rows;
Matrix Temp(Columns,Rows);
for (int i=1; i<=Temp.GetRows();i++)
{
for(int j=1; j<=Temp.GetColumns();j++)
{
Temp.SetMatrixData(i,j,MatrixData[Index(j,i)]);
}
}
return Temp;
}
// Determinant (2x2 or 3x3)
double Determinant()
{
if(Rows == Columns && Rows <=3 && Rows >=2)
{
if(Rows == 2)
{
double a=MatrixData[0]*MatrixData[3]-MatrixData[2]*MatrixData[1];
return a;
}
else
{
double b=MatrixData[0]*MatrixData[4]*MatrixData[8]+MatrixData[1]*MatrixData[5]*MatrixData[6]+MatrixData[2]*MatrixData[3]*MatrixData[7]-MatrixData[2]*MatrixData[4]*MatrixData[6]-MatrixData[1]*MatrixData[3]*MatrixData[8]-MatrixData[0]*MatrixData[5]*MatrixData[7];
return b;
}
}
else {cout<<"matrices not the same size"<<endl; exit (1);
}
}
};
// Member functions defined outside class
// Overload insertion to output stream for matrices
ostream & operator<<(ostream &os, const Matrix &Mat)
{
// Code goes here
//prints out matrix
for(int i=1;i<=Mat.GetRows();i++)
{
cout<<"\n";
for(int j=1;j<=Mat.GetColumns();j++)
{
os<<Mat.GetMatrixData(i,j)<<"\t";
}
}
return os;
}
// Main program
int main()
{
//
// First part of assignment: constructing and deep copying matrices
//
// Demonstrate default constructor
Matrix a1();
//cout<<"Matrix 1"<<a1<<"\n"<<endl;
// Parameterized constructor
const int m(2),n(2);
Matrix a2(m,n);
// Set values for a2
a2.SetMatrixData(1,1,1);
a2.SetMatrixData(1,2,1);
a2.SetMatrixData(2,1,1);
a2.SetMatrixData(2,2,1);
cout<<"Define Matrix 2:"<<a2<<"\n"<<endl;
// Deep copy by assignment: define new matrix a3 then copy from a2 to a3
Matrix a3(m,n);
cout<<"Define Matrix 3:"<<a3<<"\n"<<endl;
cout<<">>> Deep copy by assignment from Matrix 2 to Matrix 3."<<endl;
a3=a2;
cout<<"Matrix 3 becomes:"<<a3<<"\n"<<endl;
// Modify contents of original matrix
//show assigned matrix isunchanged here
a2.SetMatrixData(1,1,3);
a2.SetMatrixData(1,2,4);
a2.SetMatrixData(2,1,1);
a2.SetMatrixData(2,2,5);
cout<<">>> Modify contents of Matrix 2."<<endl;
cout<<"Matrix 2 becomes:"<<a2<<"\n"<<endl;
cout<<"Matrix 3 remains unchanged:"<<a3<<"\n"<<endl;
// Deep copy using copy constructor
Matrix a4(a2);
cout<<">>> Deep copy using constructor from Matrix 2 to Matrix 4."<<endl;
cout<<"Matrix 4 becomes:"<<a4<<"\n"<<endl;
// Modify contents of original matrix and show copied matrix is unchanged here
a2.SetMatrixData(1,1,9);
a2.SetMatrixData(1,2,8);
a2.SetMatrixData(2,1,9);
a2.SetMatrixData(2,2,8);
cout<<">>> Modify contents of Matrix 2."<<endl;
cout<<"Matrix 2 becomes:"<<a2<<"\n"<<endl;
cout<<"Matrix 4 remians unchanged:"<<a4<<"\n"<<endl;
a2=a2;
cout<<">>> Self assign Matrix 2."<<endl;
cout<<"Matrix 2 becomes:"<<a2<<"\n"<<endl;
//
// Second part of assignment: matrix operations
//
// Addition of 2 matrices
Matrix b1(m,n);
b1=a2+a4;
cout<<">>> Add Matrix 2 and Matrix 4."<<endl;
cout<<b1<<"\n"<<endl;
// Subtraction of 2 matrices
Matrix b2(m,n);
b2=a4-a2;
cout<<">>> Subtract Matrix 2 from Matrix 4."<<endl;
cout<<b2<<"\n"<<endl;
// Multiplication of 2 matrices
Matrix a5(3,3);
a5.SetMatrixData(1,1,1);
a5.SetMatrixData(1,2,2);
a5.SetMatrixData(1,3,3);
a5.SetMatrixData(2,1,4);
a5.SetMatrixData(2,2,5);
a5.SetMatrixData(2,3,6);
a5.SetMatrixData(3,1,2);
a5.SetMatrixData(3,2,6);
a5.SetMatrixData(3,3,3);
cout<<"Define Matrix 5."<<endl;
cout<<a5<<endl;
Matrix a6(3,3);
a6.SetMatrixData(1,1,1);
a6.SetMatrixData(1,2,2);
a6.SetMatrixData(1,3,3);
a6.SetMatrixData(2,1,4);
a6.SetMatrixData(2,2,5);
a6.SetMatrixData(2,3,6);
a6.SetMatrixData(3,1,1);
a6.SetMatrixData(3,2,2);
a6.SetMatrixData(3,3,3);
cout<<"Define Matrix 6:"<<endl;
cout<<a6<<endl;
cout<<">>> Multiply Matrix 5 and Matrix 6."<<endl;
cout<<a5*a6<<endl;
// Transpose
cout<<">>> Transpose Matrix 6.\n"<<endl;
cout<<a6.Transpose()<<"\n"<<endl;
// Determinant
cout<<"Find determinant of Matrix 4:"<<endl;
cout<<a4.Determinant()<<"\n"<<endl;
return 0;
}
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