GLC_Matrix4x4 is a 4 dimensions Matrix. More...

#include <glc_matrix4x4.h>

Public Types
enum	{ General = 0x0000, Direct = 0x0001, Indirect = 0x0002, Identity = 0x0003 }
	matrix possible type More...

Public Member Functions
Constructor
	GLC_Matrix4x4 ()
	Construct an identity matrix.

	GLC_Matrix4x4 (const GLC_Matrix4x4 &matrix)
	Construct a matrix from another matrix.

	GLC_Matrix4x4 (const double *pArray)
	Construct a matrix from an array of 16 double elements.

	GLC_Matrix4x4 (const float *)
	Construct a Matrix from an array of 16 float elements.

	GLC_Matrix4x4 (const GLC_Vector3d &Vect, const double &dAngleRad)
	Construct rotation matrix from a 3d vector and an angle in radians.

	GLC_Matrix4x4 (const GLC_Vector3d &Vect1, const GLC_Vector3d &Vect2)
	Construct rotation matrix from 2 3d vectors.

	GLC_Matrix4x4 (const GLC_Vector3d &Vect)
	Construct translation matrix from a 3d vector.

	GLC_Matrix4x4 (const double Tx, const double Ty, const double Tz)
	Construct translation matrix from coordinates in double.

Operator Overload
GLC_Matrix4x4 &	operator= (const GLC_Matrix4x4 &matrix)
	Copy the content of the given matrix in this matrix.

GLC_Matrix4x4	operator* (const GLC_Matrix4x4 &Mat) const
	Return the product of this matrix to the given matrix.

GLC_Vector3d	operator* (const GLC_Vector3d &Vect) const
	Return the result of transforming the given vector by this matrix.

bool	operator== (const GLC_Matrix4x4 &mat) const
	Return true if this matrix is equal to the given matrix.

bool	operator!= (const GLC_Matrix4x4 &mat) const
	Return true if this matrix is not equal to the given matrix.

Get Function
double	determinant (void) const
	Return the determinant of this matrix.

const double *	getData (void)
	Return a pointer to the row first array of 16 elements of this matrix.

const double *	getData (void) const
	Return a const pointer to the row first array of 16 elements of this matrix.

double *	setData (void)
	Return a pointer to the row first array of 16 elements of this matrix.

QVector< double >	toEuler (void) const
	Return a QVector<double> which contains radians Euler angle of this matrix.

QString	toString () const
	Return the string representation of this matrix.

GLC_Matrix4x4	rotationMatrix () const
	Return the rotation matrix of this matrix.

GLC_Matrix4x4	isometricMatrix () const
	Return the isometric matrix of this matrix.

double	scalingX () const
	Return the x Scaling of this matrix.

double	scalingY () const
	Return the y Scaling of this matrix.

double	scalingZ () const
	Return the z Scaling of this matrix.

GLC_Matrix4x4	inverted () const
	Return the inverse of this matrix.

int	type () const
	Return The type af this matrix.

bool	isDirect () const
	Return true if this matrix is direct.

double	trace () const
	Return this matrix trace.

QQuaternion	quaternion () const
	Return the quaternion of this matrix.

QPair< GLC_Vector3d, double >	rotationVectorAndAngle () const
	Return the rotation vector and angle of this matrix.

Set Function
GLC_Matrix4x4 &	setMatRot (const GLC_Vector3d &, const double &)
	Set this matrix to a rotation matrix given by a 3d vector and an angle in radian.

GLC_Matrix4x4 &	setMatRot (const GLC_Vector3d &, const GLC_Vector3d &)
	Set this matrix to a rotation matrix given by 2 3d vectors.

GLC_Matrix4x4 &	setMatTranslate (const GLC_Vector3d &)
	Set this matrix to a translation matrix given by a 3d vector.

GLC_Matrix4x4 &	setMatTranslate (const double, const double, const double)
	Set this matrix to a translation matrix given by 3 double coordinates.

GLC_Matrix4x4 &	setMatScaling (const double, const double, const double)
	Set this matrix to a scaling matrix define by 3 double.

GLC_Matrix4x4 &	invert (void)
	Inverse this Matrix and return a reference to this matrix.

GLC_Matrix4x4 &	setToIdentity ()
	Set this matrix to the identify matrix and return a reference to this matrix.

GLC_Matrix4x4 &	transpose (void)
	Transpose this matrix and return a reference to this matrix.

GLC_Matrix4x4 &	fromEuler (const double, const double, const double)
	Set this matrix with Euler angle and return a reference to this matrix.

GLC_Matrix4x4 &	setColumn (int index, const GLC_Vector3d &vector)
	Set this matrix column from the given 3d vector.

GLC_Matrix4x4 &	optimise (bool force=false)
	Optimise the usage of this matrix (Genral, Direct, Identity)

Private Types
enum	{ TAILLEMAT4X4 = 16 }
	Number of elements of this matrix. More...

enum	{ DIMMAT4X4 = 4 }
	Matrix size. More...

Private Member Functions
bool	isInDiagonal (const int index) const
	Return true if the index (argument) is in the diagonal of this matrix.

double	getDeterminantLC (const int, const int) const
	Return the determinant of this matrix cell given from 2 int.

void	getSubMat (const int, const int, double *) const
	Compute Sub 3X3 matrix given by 2 int and set the given double pointeur.

GLC_Matrix4x4	getTranspose (void) const
	Return the transpose matrix of this matrix.

GLC_Matrix4x4	getCoMat4x4 (void) const
	Return the co-matrix of this matrix.

Private Attributes
double	m_Matrix [TAILLEMAT4X4]
	Matrix row first array.

int	m_Type
	the type of this matrix

Friends
class	GLC_Vector3d

Detailed Description

GLC_Matrix4x4 is a 4 dimensions Matrix.

GLC_Matrix4x4 is used to represent 3d homogeneous transformation in 3d space
GLC_Matrix4x4 is a row first matrix compatible with OpenGL Matrix

Definition at line 44 of file glc_matrix4x4.h.

Member Enumeration Documentation

anonymous enum

matrix possible type

Enumerator
General
Direct
Indirect
Identity

Definition at line 49 of file glc_matrix4x4.h.

anonymous enum

private

Number of elements of this matrix.

Enumerator
TAILLEMAT4X4

Definition at line 269 of file glc_matrix4x4.h.

anonymous enum

private

Matrix size.

Enumerator
DIMMAT4X4

Definition at line 272 of file glc_matrix4x4.h.

Constructor & Destructor Documentation

GLC_Matrix4x4::GLC_Matrix4x4 ( )

inline

Construct an identity matrix.

Definition at line 299 of file glc_matrix4x4.h.

References setToIdentity().

Referenced by quaternion(), and rotationVectorAndAngle().

GLC_Matrix4x4::GLC_Matrix4x4 ( const GLC_Matrix4x4 & matrix )

inline

Construct a matrix from another matrix.

Definition at line 67 of file glc_matrix4x4.h.

References m_Matrix.

GLC_Matrix4x4::GLC_Matrix4x4 ( const double * pArray )

inline

Construct a matrix from an array of 16 double elements.

Definition at line 74 of file glc_matrix4x4.h.

GLC_Matrix4x4::GLC_Matrix4x4 ( const float * Tableau )

inline

Construct a Matrix from an array of 16 float elements.

Definition at line 305 of file glc_matrix4x4.h.

References m_Matrix, and TAILLEMAT4X4.

GLC_Matrix4x4::GLC_Matrix4x4	(	const GLC_Vector3d &	Vect,
		const double &	dAngleRad
	)

inline

Construct rotation matrix from a 3d vector and an angle in radians.

Definition at line 314 of file glc_matrix4x4.h.

References setMatRot(), and setToIdentity().

GLC_Matrix4x4::GLC_Matrix4x4	(	const GLC_Vector3d &	Vect1,
		const GLC_Vector3d &	Vect2
	)

inline

Construct rotation matrix from 2 3d vectors.

Definition at line 321 of file glc_matrix4x4.h.

References setMatRot(), and setToIdentity().

GLC_Matrix4x4::GLC_Matrix4x4 ( const GLC_Vector3d & Vect )

inline

Construct translation matrix from a 3d vector.

Definition at line 90 of file glc_matrix4x4.h.

GLC_Matrix4x4::GLC_Matrix4x4	(	const double	Tx,
		const double	Ty,
		const double	Tz
	)

inline

Construct translation matrix from coordinates in double.

Definition at line 94 of file glc_matrix4x4.h.

Member Function Documentation

double GLC_Matrix4x4::determinant ( void ) const

inline

Return the determinant of this matrix.

Definition at line 664 of file glc_matrix4x4.h.

References DIMMAT4X4, getDeterminant3x3(), getSubMat(), and m_Matrix.

Referenced by invert(), and optimise().

GLC_Matrix4x4 & GLC_Matrix4x4::fromEuler	(	const double	angle_x,
		const double	angle_y,
		const double	angle_z
	)

Set this matrix with Euler angle and return a reference to this matrix.

Definition at line 32 of file glc_matrix4x4.cpp.

References m_Matrix.

GLC_Matrix4x4 GLC_Matrix4x4::getCoMat4x4 ( void ) const

inlineprivate

Return the co-matrix of this matrix.

Definition at line 750 of file glc_matrix4x4.h.

References DIMMAT4X4, General, getDeterminant3x3(), getSubMat(), m_Matrix, and m_Type.

Referenced by invert().

const double* GLC_Matrix4x4::getData ( void )

inline

Return a pointer to the row first array of 16 elements of this matrix.

Don't modify data with this method

Definition at line 131 of file glc_matrix4x4.h.

Referenced by GLC_Context::glcLoadMatrix(), GLC_Context::glcMultMatrix(), GLC_WorldTo3dxml::matrixString(), GLC_UniformShaderData::setModelViewProjectionMatrix(), GLC_Viewport::unProject(), GLC_Viewport::unproject(), and GLC_Frustum::update().

const double* GLC_Matrix4x4::getData ( void ) const

inline

Return a const pointer to the row first array of 16 elements of this matrix.

Definition at line 135 of file glc_matrix4x4.h.

double GLC_Matrix4x4::getDeterminantLC	(	const int	Ligne,
		const int	Colonne
	)		const

inlineprivate

Return the determinant of this matrix cell given from 2 int.

Definition at line 680 of file glc_matrix4x4.h.

References DIMMAT4X4, getDeterminant3x3(), getSubMat(), and m_Matrix.

void GLC_Matrix4x4::getSubMat	(	const int	Ligne,
		const int	Colonne,
		double *	ResultMat
	)		const

inlineprivate

Compute Sub 3X3 matrix given by 2 int and set the given double pointeur.

Definition at line 695 of file glc_matrix4x4.h.

References DIMMAT4X4, and m_Matrix.

Referenced by determinant(), getCoMat4x4(), and getDeterminantLC().

GLC_Matrix4x4 GLC_Matrix4x4::getTranspose ( void ) const

inlineprivate

Return the transpose matrix of this matrix.

Definition at line 730 of file glc_matrix4x4.h.

References DIMMAT4X4, m_Matrix, and m_Type.

Referenced by invert().

GLC_Matrix4x4 & GLC_Matrix4x4::invert ( void )

inline

Inverse this Matrix and return a reference to this matrix.

Definition at line 585 of file glc_matrix4x4.h.

References determinant(), getCoMat4x4(), getTranspose(), m_Matrix, and TAILLEMAT4X4.

Referenced by GLC_3dsToWorld::createMeshes(), GLC_Camera::orbit(), and GLC_Camera::pan().

GLC_Matrix4x4 GLC_Matrix4x4::inverted ( ) const

inline

Return the inverse of this matrix.

Definition at line 170 of file glc_matrix4x4.h.

References GLC_Vector3d::GLC_Matrix4x4.

Referenced by GLC_TsrMover::move(), and GLC_UniformShaderData::setModelViewProjectionMatrix().

bool GLC_Matrix4x4::isDirect ( ) const

inline

Return true if this matrix is direct.

Definition at line 180 of file glc_matrix4x4.h.

bool GLC_Matrix4x4::isInDiagonal ( const int index ) const

inlineprivate

Return true if the index (argument) is in the diagonal of this matrix.

Definition at line 241 of file glc_matrix4x4.h.

GLC_Matrix4x4 GLC_Matrix4x4::isometricMatrix ( ) const

inline

Return the isometric matrix of this matrix.

Definition at line 451 of file glc_matrix4x4.h.

References General, m_Matrix, m_Type, scalingX(), scalingY(), and scalingZ().

Referenced by GLC_WorldTo3ds::setNodePosition().

bool GLC_Matrix4x4::operator!= ( const GLC_Matrix4x4 & mat ) const

inline

Return true if this matrix is not equal to the given matrix.

Definition at line 116 of file glc_matrix4x4.h.

References operator==().

GLC_Matrix4x4 GLC_Matrix4x4::operator* ( const GLC_Matrix4x4 & Mat ) const

inline

Return the product of this matrix to the given matrix.

Definition at line 328 of file glc_matrix4x4.h.

References DIMMAT4X4, Identity, Indirect, m_Matrix, and m_Type.

GLC_Vector3d GLC_Matrix4x4::operator* ( const GLC_Vector3d & Vect ) const

inline

Return the result of transforming the given vector by this matrix.

Definition at line 381 of file glc_matrix4x4.h.

References DIMMAT4X4, m_Matrix, and GLC_Vector3d::m_Vector.

GLC_Matrix4x4 & GLC_Matrix4x4::operator= ( const GLC_Matrix4x4 & matrix )

inline

Copy the content of the given matrix in this matrix.

Definition at line 373 of file glc_matrix4x4.h.

References m_Matrix, and m_Type.

bool GLC_Matrix4x4::operator== ( const GLC_Matrix4x4 & mat ) const

inline

Return true if this matrix is equal to the given matrix.

Definition at line 412 of file glc_matrix4x4.h.

References glc::EPSILON, m_Matrix, and TAILLEMAT4X4.

GLC_Matrix4x4 & GLC_Matrix4x4::optimise ( bool force = false )

inline

Optimise the usage of this matrix (Genral, Direct, Identity)

Definition at line 637 of file glc_matrix4x4.h.

References determinant(), Direct, General, Identity, Indirect, m_Matrix, and m_Type.

Referenced by GLC_ColladaToWorld::composeMatrixNode(), GLC_3dsToWorld::createMeshes(), GLC_3dxmlToWorld::loadMatrix(), and GLC_ColladaToWorld::scaleNode().

QQuaternion GLC_Matrix4x4::quaternion ( ) const

Return the quaternion of this matrix.

Definition at line 124 of file glc_matrix4x4.cpp.

References GLC_Matrix4x4(), Identity, m_Matrix, rotationMatrix(), trace(), and type().

Referenced by rotationVectorAndAngle(), and GLC_WorldTo3ds::setNodePosition().

GLC_Matrix4x4 GLC_Matrix4x4::rotationMatrix ( ) const

inline

Return the rotation matrix of this matrix.

Definition at line 424 of file glc_matrix4x4.h.

References General, m_Matrix, m_Type, scalingX(), scalingY(), and scalingZ().

Referenced by GLC_Camera::move(), GLC_CuttingPlane::moveManipulatorRep(), quaternion(), GLC_CuttingPlane::rotationNavigator(), and GLC_Mesh::transformVertice().

QPair< GLC_Vector3d, double > GLC_Matrix4x4::rotationVectorAndAngle ( ) const

Return the rotation vector and angle of this matrix.

Definition at line 177 of file glc_matrix4x4.cpp.

References GLC_Matrix4x4(), GLC_Vector3d, Identity, and quaternion().

Referenced by GLC_WorldTo3ds::setNodePosition().

double GLC_Matrix4x4::scalingX ( ) const

inline

Return the x Scaling of this matrix.

Definition at line 158 of file glc_matrix4x4.h.

References GLC_Vector3d::GLC_Vector3d().

Referenced by GLC_3DViewInstance::choseLod(), isometricMatrix(), rotationMatrix(), GLC_WorldTo3ds::setNodePosition(), and GLC_OctreeNode::updateViewableInstances().

double GLC_Matrix4x4::scalingY ( ) const

inline

Return the y Scaling of this matrix.

Definition at line 162 of file glc_matrix4x4.h.

References GLC_Vector3d::GLC_Vector3d().

Referenced by isometricMatrix(), rotationMatrix(), and GLC_WorldTo3ds::setNodePosition().

double GLC_Matrix4x4::scalingZ ( ) const

inline

Return the z Scaling of this matrix.

Definition at line 166 of file glc_matrix4x4.h.

References GLC_Vector3d::GLC_Vector3d().

Referenced by isometricMatrix(), rotationMatrix(), and GLC_WorldTo3ds::setNodePosition().

GLC_Matrix4x4 & GLC_Matrix4x4::setColumn	(	int	index,
		const GLC_Vector3d &	vector
	)

Set this matrix column from the given 3d vector.

Definition at line 60 of file glc_matrix4x4.cpp.

References General, m_Matrix, m_Type, GLC_Vector3d::x(), GLC_Vector3d::y(), and GLC_Vector3d::z().

Referenced by GLC_Arrow::createWire().

double* GLC_Matrix4x4::setData ( void )

inline

Return a pointer to the row first array of 16 elements of this matrix.

Definition at line 139 of file glc_matrix4x4.h.

Referenced by GLC_Camera::createMatComp(), GLC_Context::glcFrustum(), and GLC_Context::glcOrtho().

GLC_Matrix4x4 & GLC_Matrix4x4::setMatRot	(	const GLC_Vector3d &	Vect,
		const double &	dAngleRad
	)

inline

Set this matrix to a rotation matrix given by a 3d vector and an angle in radian.

Definition at line 474 of file glc_matrix4x4.h.

References Direct, m_Matrix, m_Type, GLC_Vector3d::m_Vector, and GLC_Vector3d::normalize().

Referenced by GLC_Interpolator::CalcInterpolAngulaireMat(), GLC_CuttingPlane::GLC_CuttingPlane(), GLC_Matrix4x4(), GLC_RepTrackBallMover::GLC_RepTrackBallMover(), GLC_RepTrackBallMover::init(), GLC_Axis::moveManipulatorRep(), GLC_CuttingPlane::moveManipulatorRep(), glc::polygonIn2d(), setMatRot(), and glc::triangulatePolygon().

GLC_Matrix4x4 & GLC_Matrix4x4::setMatRot	(	const GLC_Vector3d &	v1,
		const GLC_Vector3d &	v2
	)

inline

Set this matrix to a rotation matrix given by 2 3d vectors.

Definition at line 518 of file glc_matrix4x4.h.

References GLC_Vector3d::isNull(), normalize(), glc::PI, setMatRot(), glc::Y_AXIS(), and glc::Z_AXIS().

GLC_Matrix4x4 & GLC_Matrix4x4::setMatScaling	(	const double	sX,
		const double	sY,
		const double	sZ
	)

inline

Set this matrix to a scaling matrix define by 3 double.

Definition at line 572 of file glc_matrix4x4.h.

References General, m_Matrix, and m_Type.

Referenced by GLC_Context::glcScaled(), GLC_Axis::moveManipulatorRep(), GLC_CuttingPlane::moveManipulatorRep(), and GLC_ColladaToWorld::scaleNode().

GLC_Matrix4x4 & GLC_Matrix4x4::setMatTranslate ( const GLC_Vector3d & Vect )

inline

Set this matrix to a translation matrix given by a 3d vector.

Definition at line 548 of file glc_matrix4x4.h.

References Direct, m_Matrix, m_Type, and GLC_Vector3d::m_Vector.

Referenced by GLC_Interpolator::CalcInterpolLineaireMat(), GLC_RepCrossMover::createCrossInstance(), glc::gluLookAt(), and GLC_Axis::moveManipulatorRep().

GLC_Matrix4x4 & GLC_Matrix4x4::setMatTranslate	(	const double	Tx,
		const double	Ty,
		const double	Tz
	)

inline

Set this matrix to a translation matrix given by 3 double coordinates.

Definition at line 560 of file glc_matrix4x4.h.

References Direct, m_Matrix, and m_Type.

GLC_Matrix4x4 & GLC_Matrix4x4::setToIdentity ( )

inline

Set this matrix to the identify matrix and return a reference to this matrix.

Definition at line 603 of file glc_matrix4x4.h.

References Identity, m_Matrix, and m_Type.

Referenced by GLC_Interpolator::CalcInterpolAngulaireMat(), GLC_Interpolator::CalcInterpolLineaireMat(), GLC_Matrix4x4(), and GLC_3DViewInstance::resetMatrix().

QVector< double > GLC_Matrix4x4::toEuler ( void ) const

Return a QVector<double> which contains radians Euler angle of this matrix.

Definition at line 76 of file glc_matrix4x4.cpp.

References glc::EPSILON, m_Matrix, and glc::PI.

QString GLC_Matrix4x4::toString ( ) const

Return the string representation of this matrix.

Definition at line 110 of file glc_matrix4x4.cpp.

References DIMMAT4X4, and m_Matrix.

double GLC_Matrix4x4::trace ( ) const

inline

Return this matrix trace.

Definition at line 184 of file glc_matrix4x4.h.

Referenced by quaternion().

GLC_Matrix4x4 & GLC_Matrix4x4::transpose ( void )

inline

Transpose this matrix and return a reference to this matrix.

Definition at line 615 of file glc_matrix4x4.h.

References DIMMAT4X4, and m_Matrix.

Referenced by GLC_UniformShaderData::setModelViewProjectionMatrix().

int GLC_Matrix4x4::type ( ) const

inline

Return The type af this matrix.

Definition at line 174 of file glc_matrix4x4.h.

Referenced by GLC_WorldTo3ds::createMeshsFrom3DRep(), quaternion(), GLC_3DViewInstance::render(), and GLC_Mesh::transformVertice().

Friends And Related Function Documentation

friend class GLC_Vector3d

friend

Definition at line 46 of file glc_matrix4x4.h.

Referenced by GLC_Vector3d::inverted(), GLC_Vector3d::operator*(), GLC_Vector3d::operator+(), GLC_Vector3d::operator-(), rotationVectorAndAngle(), and GLC_Vector4d::toVector3d().

Member Data Documentation

double GLC_Matrix4x4::m_Matrix[TAILLEMAT4X4]

private

Matrix row first array.

Definition at line 275 of file glc_matrix4x4.h.

Referenced by determinant(), fromEuler(), getCoMat4x4(), getDeterminantLC(), getSubMat(), getTranspose(), GLC_Matrix4x4(), invert(), isometricMatrix(), operator*(), operator=(), operator==(), optimise(), quaternion(), rotationMatrix(), setColumn(), setMatRot(), setMatScaling(), setMatTranslate(), setToIdentity(), toEuler(), toString(), and transpose().

int GLC_Matrix4x4::m_Type

private

the type of this matrix

Definition at line 278 of file glc_matrix4x4.h.

Referenced by getCoMat4x4(), getTranspose(), isometricMatrix(), operator*(), operator=(), optimise(), rotationMatrix(), setColumn(), setMatRot(), setMatScaling(), setMatTranslate(), and setToIdentity().

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

Public Types

Public Member Functions

Private Types

Private Member Functions

Private Attributes

Friends

Detailed Description

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation