Class for manipulating matrices of real numbers

Public Methods

	matrix (int n=0, int m=0, double val=0.0) Constructor.
	matrix (const matrix&) Copy Constructor
	matrix (const vect& vec) Constructor.
	matrix (int n, int m, double** p) Constructor.
matrix&	operator= (const matrix&) Assignment operator
	~matrix () Destructor
int	dim1 () const Returns the number of rows of the matrix
int	dim2 () const Returns the number of columns of the matrix
vect&	row (int i) const Returns the i-th row of the matrix
vect	col (int i) const Returns the i-th column of the matrix
matrix	transpose () const Returns the transpose of the matrix
	operator vect () const Matrix to vect type conversion
vect&	operator[] (int i) const Returns a row i of the matrix
double&	operator() (int i, int j) Returns the element (i,j) of the matrix
double	operator() (int, int) const Returns the element (i,j) of the matrix
int	operator== (const matrix&) const Boolean equality test
int	operator!= (const matrix& x) const Boolean inequality test
matrix	operator+ (const matrix& M1) Addition of matrices Preconditions: Mdim1() == M1dim1() and Mdim2() == M1dim2()
matrix	operator- (const matrix& M1) Subtraction of matrices Preconditions: Mdim1() == M1dim1() and Mdim2() == M1dim2()
matrix	operator- () Unary minus
matrix&	operator-= (const matrix&) Overloading -= operator
matrix&	operator+= (const matrix&) Overloading += operator
matrix	operator* (const matrix& M1) Multiplication of matrices Preconditions: Mdim2() == M1dim1()
vect	operator* (const vect& vec) Multiplication with vector Preconditions: Mdim2() == vecdim()
matrix	operator* (double x) Multiplication with a scalar Preconditions: Mdim2() == vecdim()
void	print (ostream& O) Prints the matrix row by row to ostream O
void	print () Prints the matrix row by row to cout
void	read (istream& I) Reads a matrix from the stream I Reads Mdim1 times Mdim2() numbers from input stream I and writes them row by row into the matrix
void	read () Reads a matrix from standard input Reads Mdim1 times Mdim2() numbers from cin and writes them row by row into the matrix
void	initialize (double val = 0.0) Initialize the matrix All the elements of the matrix are initialized to value

Documentation

Class for manipulating matrices of real numbers

matrix(int n=0, int m=0, double val=0.0)

Constructor. The matrix is initialized to a m * n matrix.

Parameters:

- n number of rows
- m number of columns
val - initialization value

matrix(const matrix&)

Copy Constructor

matrix(const vect& vec)

Constructor. The matrix is initialized to a vec.dim() * 1 matrix, using the values of the vector vec.

Parameters:

vec - vector

matrix(int n, int m, double** p)

Constructor. The matrix is initialized to a n * m matrix, using the values of the matrix of double pp.

Parameters:

- n number of rows
- m number of columns
- p matrix of double

matrix& operator=(const matrix&)

Assignment operator

~matrix()

Destructor

int dim1() const

Returns the number of rows of the matrix

int dim2() const

Returns the number of columns of the matrix

vect& row(int i) const

Returns the i-th row of the matrix

Parameters:

i - row of the matrix

Returns:

vector corresponding to the row i of the matrix

vect col(int i) const

Returns the i-th column of the matrix

Parameters:

i - column of the matrix

Returns:

vector corresponding to the column i of the matrix

matrix transpose() const

Returns the transpose of the matrix

Returns:

transpose of the matrix

operator vect() const

Matrix to vect type conversion

vect& operator[](int i) const

Returns a row i of the matrix

Parameters:

i - row index of the matrix @retrun row of the matrix

double& operator()(int i, int j)

Returns the element (i,j) of the matrix

Parameters:

i - row
j - column @retrun element (i,j) of the matrix

double operator()(int, int) const

Returns the element (i,j) of the matrix

Parameters:

i - row
j - column @retrun element (i,j) of the matrix

int operator==(const matrix&) const

Boolean equality test

int operator!=(const matrix& x) const

Boolean inequality test

matrix operator+(const matrix& M1)

Addition of matrices
Preconditions: Mdim1() == M1dim1() and Mdim2() == M1dim2()

matrix operator-(const matrix& M1)

Subtraction of matrices
Preconditions: Mdim1() == M1dim1() and Mdim2() == M1dim2()

matrix operator-()

Unary minus

matrix& operator-=(const matrix&)

Overloading -= operator

matrix& operator+=(const matrix&)

Overloading += operator

matrix operator*(const matrix& M1)

Multiplication of matrices
Preconditions: Mdim2() == M1dim1()

vect operator*(const vect& vec)

Multiplication with vector
Preconditions: Mdim2() == vecdim()

matrix operator*(double x)

Multiplication with a scalar
Preconditions: Mdim2() == vecdim()

void print(ostream& O)

Prints the matrix row by row to ostream O

void print()

Prints the matrix row by row to cout

void read(istream& I)

Reads a matrix from the stream I
Reads Mdim1 times Mdim2() numbers from input stream I and writes them row by row into the matrix

void read()

Reads a matrix from standard input
Reads Mdim1 times Mdim2() numbers from cin and writes them row by row into the matrix

void initialize(double val = 0.0)

Initialize the matrix
All the elements of the matrix are initialized to value

Parameters:

val - initialization value

This class has no child classes.

Friends:

ostream& operator<<(ostream& O, const matrix& M)
istream& operator>>(istream& I, matrix& M)

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