#include <Matrix.h>

Public Member Functions
	Matrix4D (void)
	Default constructor. More...

	Matrix4D (float a11, float a12, float a13, float a14, float a21, float a22, float a23, float a24, float a31, float a32, float a33, float a34, float a41, float a42, float a43, float a44)
	Construction. More...

	Matrix4D (double a11, double a12, double a13, double a14, double a21, double a22, double a23, double a24, double a31, double a32, double a33, double a34, double a41, double a42, double a43, double a44)
	Construction. More...

	Matrix4D (const Matrix4D &rclMtrx)
	Construction. More...

	Matrix4D (const Vector3f &rclBase, const Vector3f &rclDir, float fAngle)
	Construction with an Axis. More...

	Matrix4D (const Vector3d &rclBase, const Vector3d &rclDir, double fAngle)

	~Matrix4D ()
	Destruction. More...

void	getMatrix (double dMtrx[16]) const

void	setMatrix (const double dMtrx[16])

void	getGLMatrix (double dMtrx[16]) const
	get the matrix in OpenGL style More...

void	setGLMatrix (const double dMtrx[16])
	set the matrix in OpenGL style More...

unsigned long	getMemSpace (void)

void	Print (void) const

std::string	toString (void) const
	write the 16 double of the matrix into a string More...

void	fromString (const std::string &str)
	read the 16 double of the matrix from a string More...

Operators
Matrix4D	operator+ (const Matrix4D &rclMtrx) const
	Matrix addition. More...

Matrix4D &	operator+= (const Matrix4D &rclMtrx)

Matrix4D	operator - (const Matrix4D &rclMtrx) const
	Matrix subtraction. More...

Matrix4D &	operator -= (const Matrix4D &rclMtrx)

Matrix4D &	operator *= (const Matrix4D &rclMtrx)
	Matrix multiplication. More...

Matrix4D &	operator= (const Matrix4D &rclMtrx)
	Assignment. More...

Matrix4D	operator * (const Matrix4D &rclMtrx) const
	Matrix multiplication. More...

Vector3f	operator * (const Vector3f &rclVct) const
	Multiplication matrix with vector. More...

Vector3d	operator * (const Vector3d &rclVct) const

void	multVec (const Vector3d &src, Vector3d &dst) const

void	multVec (const Vector3f &src, Vector3f &dst) const

bool	operator != (const Matrix4D &rclMtrx) const
	Comparison. More...

bool	operator== (const Matrix4D &rclMtrx) const
	Comparison. More...

double *	operator [] (unsigned short usNdx)
	Index operator. More...

const double *	operator[] (unsigned short usNdx) const
	Index operator. More...

double	determinant () const
	Compute the determinant of the matrix. More...

std::string	analyse (void) const
	Analyse the transformation. More...

Matrix4D &	Outer (const Vector3f &rV1, const Vector3f &rV2)
	Outer product (Dyadic product) More...

Matrix4D &	Outer (const Vector3d &rV1, const Vector3d &rV2)

Matrix4D &	Hat (const Vector3f &rV)
	Hat operator (skew symmetric) More...

Matrix4D &	Hat (const Vector3d &rV)

Manipulation
void	setToUnity (void)
	Makes unity matrix. More...

void	nullify (void)
	Makes a null matrix. More...

void	move (float x, float y, float z)
	moves the coordinatesystem for the x,y,z value More...

void	move (double x, double y, double z)

void	move (const Vector3f &rclVct)
	moves the coordinatesystem for the vector More...

void	move (const Vector3d &rclVct)

void	scale (float x, float y, float z)
	scale for the vector More...

void	scale (double x, double y, double z)

void	scale (const Vector3f &rclVct)
	scale for the x,y,z value More...

void	scale (const Vector3d &rclVct)

int	hasScale (double tol=0.0) const
	Check for scaling factor, 0: not scale, 1: uniform scale, or else -1. More...

void	rotX (double fAngle)
	Rotate around the X axis (in transformed space) for the given value in radians. More...

void	rotY (double fAngle)
	Rotate around the Y axis (in transformed space) for the given value in radians. More...

void	rotZ (double fAngle)
	Rotate around the Z axis (in transformed space) for the given value in radians. More...

void	rotLine (const Vector3f &rclVct, float fAngle)
	Rotate around an arbitrary axis passing the origin in radians. More...

void	rotLine (const Vector3d &rclVct, double fAngle)
	Rotate around an arbitrary axis passing the origin in radians. More...

void	rotLine (const Vector3f &rclBase, const Vector3f &rclDir, float fAngle)
	Rotate around an arbitrary axis that needn't necessarily pass the origin in radians. More...

void	rotLine (const Vector3d &rclBase, const Vector3d &rclDir, double fAngle)
	Rotate around an arbitrary axis that needn't necessarily pass the origin in radians. More...

bool	toAxisAngle (Vector3f &rclBase, Vector3f &rclDir, float &fAngle, float &fTranslation) const
	Extract the rotation axis and angle. Therefore the 3x3 submatrix must be orthogonal. More...

bool	toAxisAngle (Vector3d &rclBase, Vector3d &rclDir, double &fAngle, double &fTranslation) const

void	transform (const Vector3f &rclVct, const Matrix4D &rclMtrx)
	transform (move,scale,rotate) around a point More...

void	transform (const Vector3d &rclVct, const Matrix4D &rclMtrx)

void	inverse (void)
	Matrix is expected to have a 3x3 rotation submatrix. More...

void	inverseOrthogonal (void)
	Matrix is expected to have a 3x3 rotation submatrix. More...

void	inverseGauss (void)
	Arbitrary, non-singular matrix. More...

void	transpose (void)

Detailed Description

The Matrix4D class.

Constructor & Destructor Documentation

◆ Matrix4D() [1/6]

Base::Matrix4D::Matrix4D ( void )

Default constructor.

Initialises to an identity matrix

◆ Matrix4D() [2/6]

Base::Matrix4D::Matrix4D	(	float	a11,
		float	a12,
		float	a13,
		float	a14,
		float	a21,
		float	a22,
		float	a23,
		float	a24,
		float	a31,
		float	a32,
		float	a33,
		float	a34,
		float	a41,
		float	a42,
		float	a43,
		float	a44
	)

Construction.

◆ Matrix4D() [3/6]

Base::Matrix4D::Matrix4D	(	double	a11,
		double	a12,
		double	a13,
		double	a14,
		double	a21,
		double	a22,
		double	a23,
		double	a24,
		double	a31,
		double	a32,
		double	a33,
		double	a34,
		double	a41,
		double	a42,
		double	a43,
		double	a44
	)

Construction.

◆ Matrix4D() [4/6]

Base::Matrix4D::Matrix4D ( const Matrix4D & rclMtrx )

Construction.

◆ Matrix4D() [5/6]

Base::Matrix4D::Matrix4D	(	const Vector3f &	rclBase,
		const Vector3f &	rclDir,
		float	fAngle
	)

Construction with an Axis.

◆ Matrix4D() [6/6]

Base::Matrix4D::Matrix4D	(	const Vector3d &	rclBase,
		const Vector3d &	rclDir,
		double	fAngle
	)

◆ ~Matrix4D()

Base::Matrix4D::~Matrix4D ( )

inline

Destruction.

Member Function Documentation

◆ analyse()

std::string Base::Matrix4D::analyse ( void ) const

Analyse the transformation.

◆ determinant()

double Base::Matrix4D::determinant ( ) const

Compute the determinant of the matrix.

◆ fromString()

void Base::Matrix4D::fromString ( const std::string & str )

read the 16 double of the matrix from a string

◆ getGLMatrix()

void Base::Matrix4D::getGLMatrix ( double dMtrx[16] ) const

get the matrix in OpenGL style

◆ getMatrix()

void Base::Matrix4D::getMatrix ( double dMtrx[16] ) const

◆ getMemSpace()

unsigned long Base::Matrix4D::getMemSpace ( void )

◆ hasScale()

int Base::Matrix4D::hasScale ( double tol = 0.0 ) const

Check for scaling factor, 0: not scale, 1: uniform scale, or else -1.

◆ Hat() [1/2]

Matrix4D& Base::Matrix4D::Hat ( const Vector3f & rV )

Hat operator (skew symmetric)

◆ Hat() [2/2]

Matrix4D& Base::Matrix4D::Hat ( const Vector3d & rV )

◆ inverse()

void Base::Matrix4D::inverse ( void )

Matrix is expected to have a 3x3 rotation submatrix.

◆ inverseGauss()

void Base::Matrix4D::inverseGauss ( void )

Arbitrary, non-singular matrix.

◆ inverseOrthogonal()

void Base::Matrix4D::inverseOrthogonal ( void )

Matrix is expected to have a 3x3 rotation submatrix.

◆ move() [1/4]

void Base::Matrix4D::move	(	float	x,
		float	y,
		float	z
	)

inline

moves the coordinatesystem for the x,y,z value

◆ move() [2/4]

void Base::Matrix4D::move	(	double	x,
		double	y,
		double	z
	)

inline

◆ move() [3/4]

void Base::Matrix4D::move ( const Vector3f & rclVct )

moves the coordinatesystem for the vector

◆ move() [4/4]

void Base::Matrix4D::move ( const Vector3d & rclVct )

◆ multVec() [1/2]

void Base::Matrix4D::multVec	(	const Vector3d &	src,
		Vector3d &	dst
	)		const

inline

◆ multVec() [2/2]

void Base::Matrix4D::multVec	(	const Vector3f &	src,
		Vector3f &	dst
	)		const

inline

◆ nullify()

void Base::Matrix4D::nullify ( void )

Makes a null matrix.

◆ operator !=()

bool Base::Matrix4D::operator != ( const Matrix4D & rclMtrx ) const

inline

Comparison.

◆ operator *() [1/3]

Matrix4D Base::Matrix4D::operator * ( const Matrix4D & rclMtrx ) const

inline

Matrix multiplication.

◆ operator *() [2/3]

Vector3f Base::Matrix4D::operator * ( const Vector3f & rclVct ) const

inline

Multiplication matrix with vector.

◆ operator *() [3/3]

Vector3d Base::Matrix4D::operator * ( const Vector3d & rclVct ) const

inline

◆ operator *=()

Matrix4D & Base::Matrix4D::operator *= ( const Matrix4D & rclMtrx )

inline

Matrix multiplication.

◆ operator -()

Matrix4D Base::Matrix4D::operator - ( const Matrix4D & rclMtrx ) const

inline

Matrix subtraction.

◆ operator -=()

Matrix4D & Base::Matrix4D::operator -= ( const Matrix4D & rclMtrx )

inline

◆ operator []()

double* Base::Matrix4D::operator [] ( unsigned short usNdx )

inline

Index operator.

◆ operator+()

Matrix4D Base::Matrix4D::operator+ ( const Matrix4D & rclMtrx ) const

inline

Matrix addition.

◆ operator+=()

Matrix4D & Base::Matrix4D::operator+= ( const Matrix4D & rclMtrx )

inline

◆ operator=()

Matrix4D & Base::Matrix4D::operator= ( const Matrix4D & rclMtrx )

inline

Assignment.

◆ operator==()

bool Base::Matrix4D::operator== ( const Matrix4D & rclMtrx ) const

inline

Comparison.

◆ operator[]()

const double * Base::Matrix4D::operator[] ( unsigned short usNdx ) const

inline

Index operator.

◆ Outer() [1/2]

Matrix4D& Base::Matrix4D::Outer	(	const Vector3f &	rV1,
		const Vector3f &	rV2
	)

Outer product (Dyadic product)

◆ Outer() [2/2]

Matrix4D& Base::Matrix4D::Outer	(	const Vector3d &	rV1,
		const Vector3d &	rV2
	)

◆ Print()

void Base::Matrix4D::Print ( void ) const

◆ rotLine() [1/4]

void Base::Matrix4D::rotLine	(	const Vector3f &	rclVct,
		float	fAngle
	)

Rotate around an arbitrary axis passing the origin in radians.

◆ rotLine() [2/4]

void Base::Matrix4D::rotLine	(	const Vector3d &	rclVct,
		double	fAngle
	)

Rotate around an arbitrary axis passing the origin in radians.

◆ rotLine() [3/4]

void Base::Matrix4D::rotLine	(	const Vector3f &	rclBase,
		const Vector3f &	rclDir,
		float	fAngle
	)

Rotate around an arbitrary axis that needn't necessarily pass the origin in radians.

◆ rotLine() [4/4]

void Base::Matrix4D::rotLine	(	const Vector3d &	rclBase,
		const Vector3d &	rclDir,
		double	fAngle
	)

Rotate around an arbitrary axis that needn't necessarily pass the origin in radians.

◆ rotX()

void Base::Matrix4D::rotX ( double fAngle )

Rotate around the X axis (in transformed space) for the given value in radians.

◆ rotY()

void Base::Matrix4D::rotY ( double fAngle )

Rotate around the Y axis (in transformed space) for the given value in radians.

◆ rotZ()

void Base::Matrix4D::rotZ ( double fAngle )

Rotate around the Z axis (in transformed space) for the given value in radians.

◆ scale() [1/4]

void Base::Matrix4D::scale	(	float	x,
		float	y,
		float	z
	)

inline

scale for the vector

◆ scale() [2/4]

void Base::Matrix4D::scale	(	double	x,
		double	y,
		double	z
	)

inline

◆ scale() [3/4]

void Base::Matrix4D::scale ( const Vector3f & rclVct )

scale for the x,y,z value

◆ scale() [4/4]

void Base::Matrix4D::scale ( const Vector3d & rclVct )

◆ setGLMatrix()

void Base::Matrix4D::setGLMatrix ( const double dMtrx[16] )

set the matrix in OpenGL style

◆ setMatrix()

void Base::Matrix4D::setMatrix ( const double dMtrx[16] )

◆ setToUnity()

void Base::Matrix4D::setToUnity ( void )

Makes unity matrix.

◆ toAxisAngle() [1/2]

bool Base::Matrix4D::toAxisAngle	(	Vector3f &	rclBase,
		Vector3f &	rclDir,
		float &	fAngle,
		float &	fTranslation
	)		const

Extract the rotation axis and angle. Therefore the 3x3 submatrix must be orthogonal.

◆ toAxisAngle() [2/2]

bool Base::Matrix4D::toAxisAngle	(	Vector3d &	rclBase,
		Vector3d &	rclDir,
		double &	fAngle,
		double &	fTranslation
	)		const

◆ toString()

std::string Base::Matrix4D::toString ( void ) const

write the 16 double of the matrix into a string

◆ transform() [1/2]

void Base::Matrix4D::transform	(	const Vector3f &	rclVct,
		const Matrix4D &	rclMtrx
	)

transform (move,scale,rotate) around a point

◆ transform() [2/2]

void Base::Matrix4D::transform	(	const Vector3d &	rclVct,
		const Matrix4D &	rclMtrx
	)

◆ transpose()

void Base::Matrix4D::transpose ( void )

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

D:/CadworkJobs/Softwareprojekte/Lexocad/V28.0/lexocad/Base/include/Base/Matrix.h

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Matrix4D() [1/6]

◆ Matrix4D() [2/6]

◆ Matrix4D() [3/6]

◆ Matrix4D() [4/6]

◆ Matrix4D() [5/6]

◆ Matrix4D() [6/6]

◆ ~Matrix4D()

Member Function Documentation

◆ analyse()

◆ determinant()

◆ fromString()

◆ getGLMatrix()

◆ getMatrix()

◆ getMemSpace()

◆ hasScale()

◆ Hat() [1/2]

◆ Hat() [2/2]

◆ inverse()

◆ inverseGauss()

◆ inverseOrthogonal()

◆ move() [1/4]

◆ move() [2/4]

◆ move() [3/4]

◆ move() [4/4]

◆ multVec() [1/2]

◆ multVec() [2/2]

◆ nullify()

◆ operator !=()

◆ operator *() [1/3]

◆ operator *() [2/3]

◆ operator *() [3/3]

◆ operator *=()

◆ operator -()

◆ operator -=()

◆ operator []()

◆ operator+()

◆ operator+=()

◆ operator=()

◆ operator==()

◆ operator[]()

◆ Outer() [1/2]

◆ Outer() [2/2]

◆ Print()

◆ rotLine() [1/4]

◆ rotLine() [2/4]

◆ rotLine() [3/4]

◆ rotLine() [4/4]

◆ rotX()

◆ rotY()

◆ rotZ()

◆ scale() [1/4]

◆ scale() [2/4]

◆ scale() [3/4]

◆ scale() [4/4]

◆ setGLMatrix()

◆ setMatrix()

◆ setToUnity()

◆ toAxisAngle() [1/2]

◆ toAxisAngle() [2/2]

◆ toString()

◆ transform() [1/2]

◆ transform() [2/2]

◆ transpose()