rt::matrix Class Reference

4x4 matrix More...

#include <matrix.hpp>

Public Types
enum	Format { RowMajorFormat, ColumnMajorFormat }
	Matrix format enum. More...

Public Member Functions
	matrix ()
	Construct a Identity matrix.
	matrix (const matrix &)
	Copy constructor.
	matrix (double *data, Format format=RowMajorFormat)
	Make a new matrix from data. More...
	matrix (double m11, double m12, double m13, double m14, double m21, double m22, double m23, double m24, double m31, double m32, double m33, double m34, double m41, double m42, double m43, double m44)
	Make a new matrix from its values. More...
void	set (double m11, double m12, double m13, double m14, double m21, double m22, double m23, double m24, double m31, double m32, double m33, double m34, double m41, double m42, double m43, double m44)
	Set matrix values. More...
void	optimize ()
	Optimize the matrix. More...
void	setToIdentity ()
	set matrix to identity.
bool	isIdentity () const
double	determinant () const
	Compute matrix determinant.
void	invert (bool *invertible=0)
	Invert the matrix. More...
void	transpose ()
	Transpose the matrix.
void	translate (const vector &)
	Translate the matrix.
void	translate (double x, double y, double z)
	Translate the matrix. More...
void	scale (const vector &)
	Scale operation.
void	scale (double x, double y, double z)
	Scale operation.
void	scale (double factor)
	Scale operation.
void	rotate (double angle, const vector &)
	Rotate the matrix.
void	rotate (double angle, double x, double y, double z=0.0f)
	Rotate the matrix.
matrix	inverted (bool *invertible=0) const
matrix	transposed () const
matrix	translated (const vector &) const
matrix	translated (double x, double y, double z) const
matrix	scaled (const vector &) const
matrix	scaled (double x, double y, double z) const
matrix	scaled (double factor) const
matrix	rotated (double angle, const vector &) const
matrix	rotated (double angle, double x, double y, double z) const
void	lookAt (const vector &eye, const vector &center, const vector &up)
vector	position () const
vector	rotation () const
vector	scale () const
double	at (int row, int column) const
vector	map (const vector &) const
const double &	operator() (int row, int column) const
double &	operator() (int row, int column)
matrix &	operator+= (const matrix &)
matrix &	operator-= (const matrix &)
matrix &	operator*= (const matrix &)
matrix &	operator*= (double)
bool	operator== (const matrix &) const
bool	operator!= (const matrix &) const
const double *	data () const

Friends
matrix	operator+ (const matrix &m1, const matrix &m2)
matrix	operator- (const matrix &m1, const matrix &m2)
matrix	operator* (const matrix &m1, const matrix &m2)
vector	operator* (const matrix &m, const vector &v)
vector	operator* (const vector &v, const matrix &m)
matrix	operator- (const matrix &m)
matrix	operator* (double, const matrix &m)
matrix	operator* (const matrix &m, double)

Detailed Description

4x4 matrix

This class describes a 3D vector, providing basic operations (addition, product, etc.) by overloading common operators.

It also allows you to apply some basic spaces transformations sush as translations, rotations, scales, etc...

Member Enumeration Documentation

Format

enum rt::matrix::Format

Matrix format enum.

Enumerator
RowMajorFormat	Represent a matrix in row-major format in memory
ColumnMajorFormat	Represent a matrix in column-major format in memory

Constructor & Destructor Documentation

matrix() [1/2]

rt::matrix::matrix	(	double *	data,
		Format	format = RowMajorFormat
	)

Make a new matrix from data.

Parameters

data	A double array containing all 16 values organized according to #format.
format	Data format.

matrix() [2/2]

rt::matrix::matrix	(	double	m11,
		double	m12,
		double	m13,
		double	m14,
		double	m21,
		double	m22,
		double	m23,
		double	m24,
		double	m31,
		double	m32,
		double	m33,
		double	m34,
		double	m41,
		double	m42,
		double	m43,
		double	m44
	)

Make a new matrix from its values.

The values must be given in column-majorr format.

Member Function Documentation

invert()

void rt::matrix::invert

(

bool *

invertible = 0

)

Invert the matrix.

If the matrix is non invertible, the #invertible value will be set to false (if #invertible is not null).

isIdentity()

bool rt::matrix::isIdentity

(

)

const

Returns

if this matrix is the identity.

optimize()

void rt::matrix::optimize

(

)

Optimize the matrix.

Detect translation/rotation/etc... matrix.

set()

void rt::matrix::set	(	double	m11,
		double	m12,
		double	m13,
		double	m14,
		double	m21,
		double	m22,
		double	m23,
		double	m24,
		double	m31,
		double	m32,
		double	m33,
		double	m34,
		double	m41,
		double	m42,
		double	m43,
		double	m44
	)

Set matrix values.

The values must be given in column-majorr format.

translate()

void rt::matrix::translate	(	double	x,
		double	y,
		double	z
	)

Translate the matrix.

Alias for matrix.translate(vector(x, y, z))

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The documentation for this class was generated from the following files:

• sources/core/matrix.hpp
• sources/core/matrix.cpp