4x4 matrix implementing OpenGL commands. More...

#include <ACG/Math/GLMatrixT.hh>

Inheritance diagram for ACG::GLMatrixT< Scalar >:

Public Types
typedef VectorT< Scalar, 3 >	Vec3

Public Member Functions
	GLMatrixT ()
	constructor: uninitialized values

template<class OtherScalar >
	GLMatrixT (const GLMatrixT< OtherScalar > &_rhs)
	construct from other matrix type

	GLMatrixT (const Scalar _array[16])

	GLMatrixT (const Vec3 &col1, const Vec3 &col2, const Vec3 &col3)

	~GLMatrixT ()
	destructor

template<typename otherScalar >
GLMatrixT< Scalar > &	operator= (const GLMatrixT< otherScalar > &_rhs)
	assignement from other matrix type

template<typename otherScalar >
GLMatrixT< Scalar > &	operator= (const Matrix4x4T< otherScalar > &_rhs)
	assignement from other matrix type

void	scale (Scalar _x, Scalar _y, Scalar _z, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with scaling matrix (x,y,z)

void	scale (const Vec3 &_v, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with scaling matrix (x,y,z)

void	translate (Scalar _x, Scalar _y, Scalar _z, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with translation matrix (x,y,z)

void	translate (const Vec3 &_v, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with translation matrix (x,y,z)

void	rotate (Scalar angle, Scalar x, Scalar y, Scalar z, MultiplyFrom _mult_from=MULT_FROM_RIGHT)

void	rotate (Scalar _angle, const Vec3 &_axis, MultiplyFrom _mult_from=MULT_FROM_RIGHT)

void	rotateX (Scalar _angle, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with a rotation matrix (angle in degree, x-axis)

void	rotateY (Scalar _angle, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with a rotation matrix (angle in degree, y-axis)

void	rotateZ (Scalar _angle, MultiplyFrom _mult_from=MULT_FROM_RIGHT)
	multiply self with a rotation matrix (angle in degree, z-axis)

void	lookAt (const Vec3 &eye, const Vec3 &center, const Vec3 &up)

void	inverse_lookAt (const Vec3 &eye, const Vec3 &center, const Vec3 &up)
	multiply self from left with inverse lookAt matrix

void	perspective (Scalar fovY, Scalar aspect, Scalar near_plane, Scalar far_plane)
	multiply self with a perspective projection matrix More...

void	inverse_perspective (Scalar fovY, Scalar aspect, Scalar near_plane, Scalar far_plane)
	multiply self from left with inverse of perspective projection matrix

void	frustum (Scalar left, Scalar right, Scalar bottom, Scalar top, Scalar near_plane, Scalar far_plane)
	multiply self with a perspective projection matrix

void	inverse_frustum (Scalar left, Scalar right, Scalar bottom, Scalar top, Scalar near_plane, Scalar far_plane)
	multiply self from left with inverse of perspective projection matrix

void	ortho (Scalar left, Scalar right, Scalar bottom, Scalar top, Scalar near_plane, Scalar far_plane)
	multiply self with orthographic projection matrix

void	inverse_ortho (Scalar left, Scalar right, Scalar bottom, Scalar top, Scalar near_plane, Scalar far_plane)
	multiply self from left with inverse orthographic projection matrix

VectorT< Scalar, 2 >	extract_planes_perspective () const
	extract near and far clipping planes from a perspective projection matrix

VectorT< Scalar, 2 >	extract_planes_ortho () const
	extract near and far clipping planes from an orthographic projection matrix

bool	isPerspective () const
	check if the matrix is a perspective projection matrix

bool	isOrtho () const
	check if the matrix is an orthographic projection matrix

VectorT< Scalar, 2 >	extract_planes () const
	detect type of projection matrix and extract near and far clipping planes

GLMatrixT &	operator+= (const Matrix4x4T< Scalar > &_rhs)

GLMatrixT &	operator-= (const Matrix4x4T< Scalar > &_rhs)

GLMatrixT &	*operator=** (const Matrix4x4T< Scalar > &_rhs)

GLMatrixT &	leftMult (const Matrix4x4T< Scalar > &_rhs)

GLMatrixT	operator+ (const Matrix4x4T< Scalar > &_rhs) const

GLMatrixT	operator- (const Matrix4x4T< Scalar > &_rhs) const

GLMatrixT	operator* (const Matrix4x4T< Scalar > &_rhs) const

template<typename T >
VectorT< T, 4 >	operator* (const VectorT< T, 4 > &_v) const

Public Member Functions inherited from ACG::Matrix4x4T< Scalar >
	Matrix4x4T ()
	constructor: uninitialized values

template<class OtherScalar >
	Matrix4x4T (const Matrix4x4T< OtherScalar > &_rhs)
	construct from other matrix type

	Matrix4x4T (const Scalar _array[16])

	~Matrix4x4T ()
	destructor

template<typename otherScalar >
Matrix4x4T< Scalar > &	operator= (const Matrix4x4T< otherScalar > &_rhs)
	assignment from other matrix type

Scalar &	operator() (unsigned int row, unsigned int col)
	access operator (read and write)

const Scalar &	operator() (unsigned int row, unsigned int col) const
	access operator (read only)

bool	operator== (const Matrix4x4T< Scalar > &_rhs) const
	compare two matrices (up to some epsilon)

bool	operator!= (const Matrix4x4T< Scalar > &_rhs) const
	compare two matrices

Matrix4x4T	operator+ (Matrix4x4T< Scalar > _rhs) const
	self + _rhs

Matrix4x4T	operator- (Matrix4x4T< Scalar > _rhs) const
	self - _rhs

Matrix4x4T	operator* (const Matrix4x4T< Scalar > &inst) const
	self * _rhs

Matrix4x4T	operator* (const Scalar &scalar)
	self * scalar

Matrix4x4T &	operator+= (const Matrix4x4T< Scalar > &_rhs)
	self += _rhs

Matrix4x4T &	operator-= (const Matrix4x4T< Scalar > &_rhs)
	self -= _rhs

Matrix4x4T &	operator*= (const Matrix4x4T< Scalar > &_rhs)
	self *= _rhs

Matrix4x4T &	leftMult (const Matrix4x4T< Scalar > &_rhs)
	multiply from left: self = _rhs * self

template<typename T >
VectorT< T, 4 >	operator* (const VectorT< T, 4 > &_v) const
	matrix by vector multiplication

template<typename T >
VectorT< T, 3 >	transform_point (const VectorT< T, 3 > &_v) const
	transform point (x',y',z',1) = M * (x,y,z,1)

template<typename T >
VectorT< T, 3 >	transform_vector (const VectorT< T, 3 > &_v) const
	transform vector (x',y',z',0) = A * (x,y,z,0)

void	clear ()
	sets all elements to zero

void	identity ()
	setup an identity matrix

bool	is_identity () const
	check if the matrix is the identity ( up to an epsilon )

void	transpose ()
	transpose matrix

bool	invert ()
	matrix inversion (returns true on success)

Scalar	determinant () const

const Scalar *	get_raw_data () const

const Scalar *	raw () const

const Scalar *	data () const

Private Types
enum	Axis { X, Y, Z }

Private Member Functions
void	rotateXYZ (Axis _axis, Scalar _angle, MultiplyFrom _mult_from)

Additional Inherited Members
Protected Attributes inherited from ACG::Matrix4x4T< Scalar >
Scalar	mat_ [16]

Detailed Description

template<class Scalar>
class ACG::GLMatrixT< Scalar >

4x4 matrix implementing OpenGL commands.

Definition at line 85 of file GLMatrixT.hh.

Constructor & Destructor Documentation

template<class Scalar>

ACG::GLMatrixT< Scalar >::GLMatrixT ( const Scalar _array[16] )

inline

setup matrix using an array of N*N scalar values. elements are ordered 'column first' (like OpenGL)

Definition at line 103 of file GLMatrixT.hh.

template<class Scalar>

ACG::GLMatrixT< Scalar >::GLMatrixT	(	const Vec3 &	col1,
		const Vec3 &	col2,
		const Vec3 &	col3
	)

inline

Initialize an affine matrix from column vectors.

Definition at line 108 of file GLMatrixT.hh.

Member Function Documentation

template<typename Scalar >

void ACG::GLMatrixT< Scalar >::lookAt	(	const Vec3 &	eye,
		const Vec3 &	center,
		const Vec3 &	up
	)

multiply self with a viewing transformation given by eye position, reference point (center) and an up vector. (similar to gluLookAt)

Definition at line 222 of file GLMatrixT.cc.

template<typename Scalar>

void ACG::GLMatrixT< Scalar >::perspective	(	Scalar	fovY,
		Scalar	aspect,
		Scalar	near_plane,
		Scalar	far_plane
	)

multiply self with a perspective projection matrix

The specified perspective projection will be multiplied with the matrix already stored in this matix.

Parameters

fovY	Half of the Field of View in y direction angle (Degree)
aspect	aspect ratio: x = y * aspect
near_plane	Distance to near plane ( > 0 )
far_plane	Distance to far plane ( > near_plane > 0 )

Definition at line 283 of file GLMatrixT.cc.

template<typename Scalar>

void ACG::GLMatrixT< Scalar >::rotate	(	Scalar	angle,
		Scalar	x,
		Scalar	y,
		Scalar	z,
		MultiplyFrom	_mult_from = `MULT_FROM_RIGHT`
	)

multiply self with a rotation matrix (angle in degree, arbitrary axis given by xyz)

Definition at line 161 of file GLMatrixT.cc.

template<class Scalar>

void ACG::GLMatrixT< Scalar >::rotate	(	Scalar	_angle,
		const Vec3 &	_axis,
		MultiplyFrom	_mult_from = `MULT_FROM_RIGHT`
	)

inline

multiply self with a rotation matrix (angle in degree, arbitrary axis given by xyz)

Definition at line 185 of file GLMatrixT.hh.

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

ACG/Math/GLMatrixT.hh
ACG/Math/GLMatrixT.cc

Public Types

Public Member Functions

Private Types

Private Member Functions

Additional Inherited Members

Detailed Description

template<class Scalar> class ACG::GLMatrixT< Scalar >

Constructor & Destructor Documentation

Member Function Documentation

template<class Scalar>
class ACG::GLMatrixT< Scalar >