matrix3x3.h File Reference

#include <math/vector2d.h>

Go to the source code of this file.

Classes
class	MATRIX3x3< T >
	Class MATRIX3x3 describes a general 3x3 matrix. More...
class	MATRIX3x3< T >
	Class MATRIX3x3 describes a general 3x3 matrix. More...

Typedefs
typedef MATRIX3x3< double >	MATRIX3x3D

Functions
template<class T >
std::ostream &	operator<< (std::ostream &aStream, const MATRIX3x3< T > &aMatrix)
template<class T >
MATRIX3x3< T > const	operator * (MATRIX3x3< T > const &aA, MATRIX3x3< T > const &aB)
	Matrix multiplication. More...
template<class T >
VECTOR2< T > const	operator * (MATRIX3x3< T > const &aA, VECTOR2< T > const &aB)
	Multiplication with a 2D vector, the 3rd z-component is assumed to be 1. More...
template<class T , class S >
MATRIX3x3< T > const	operator * (MATRIX3x3< T > const &aA, T aScalar)
	Multiplication with a scalar. More...
template<class T , class S >
MATRIX3x3< T > const	operator * (T aScalar, MATRIX3x3< T > const &aMatrix)
template<class T , class S >
MATRIX3x3< T > const	operator * (MATRIX3x3< T > const &aMatrix, S aScalar)
template<class T , class S >
MATRIX3x3< T > const	operator * (S aScalar, MATRIX3x3< T > const &aMatrix)

Typedef Documentation

MATRIX3x3D

typedef MATRIX3x3<double> MATRIX3x3D

Definition at line 402 of file matrix3x3.h.

Function Documentation

operator *() [1/6]

template<class T >

MATRIX3x3< T > const operator *	(	MATRIX3x3< T > const &	aA,
		MATRIX3x3< T > const &	aB
	)

Matrix multiplication.

Definition at line 278 of file matrix3x3.h.

{
    MATRIX3x3<T> result;

    for( int i = 0; i < 3; i++ )
    {
        for( int j = 0; j < 3; j++ )
        {
            result.m_data[i][j] = aA.m_data[i][0] * aB.m_data[0][j] +
                                  aA.m_data[i][1] * aB.m_data[1][j] +
                                  aA.m_data[i][2] * aB.m_data[2][j];
        }
    }

    return result;
}

References i, and MATRIX3x3< T >::m_data.

operator *() [2/6]

template<class T >

VECTOR2< T > const operator *	(	MATRIX3x3< T > const &	aA,
		VECTOR2< T > const &	aB
	)

Multiplication with a 2D vector, the 3rd z-component is assumed to be 1.

Definition at line 297 of file matrix3x3.h.

{
    VECTOR2<T> result( 0, 0 );
    result.x = aMatrix.m_data[0][0] * aVector.x + aMatrix.m_data[0][1] * aVector.y
               + aMatrix.m_data[0][2];
    result.y = aMatrix.m_data[1][0] * aVector.x + aMatrix.m_data[1][1] * aVector.y
               + aMatrix.m_data[1][2];

    return result;
}

References MATRIX3x3< T >::m_data, VECTOR2< T >::x, and VECTOR2< T >::y.

operator *() [3/6]

template<class T , class S >

MATRIX3x3<T> const operator *	(	MATRIX3x3< T > const &	aA,
		T	aScalar
	)

Multiplication with a scalar.

operator *() [4/6]

template<class T , class S >

MATRIX3x3<T> const operator *	(	T	aScalar,
		MATRIX3x3< T > const &	aMatrix
	)

operator *() [5/6]

template<class T , class S >

MATRIX3x3<T> const operator *	(	MATRIX3x3< T > const &	aMatrix,
		S	aScalar
	)

Definition at line 319 of file matrix3x3.h.

{
    MATRIX3x3<T> result;

    for( int i = 0; i < 3; i++ )
    {
        for( int j = 0; j < 3; j++ )
        {
            result.m_data[i][j] = aMatrix.m_data[i][j] * aScalar;
        }
    }

    return result;
}

References i, and MATRIX3x3< T >::m_data.

operator *() [6/6]

template<class T , class S >

MATRIX3x3<T> const operator *	(	S	aScalar,
		MATRIX3x3< T > const &	aMatrix
	)

Definition at line 336 of file matrix3x3.h.

{
    return aMatrix * aScalar;
}

operator<<()

template<class T >

std::ostream & operator<<	(	std::ostream &	aStream,
		const MATRIX3x3< T > &	aMatrix
	)

Definition at line 381 of file matrix3x3.h.

{
    for( int i = 0; i < 3; i++ )
    {
        aStream << "| ";

        for( int j = 0; j < 3; j++ )
        {
            aStream << aMatrix.m_data[i][j];
            aStream << " ";
        }

        aStream << "|";
        aStream << "\n";
    }

    return aStream;
}

References i, and MATRIX3x3< T >::m_data.