Defines a 2D transformation matrix. More...

#include <cadex/Geom/Transformation2d.hxx>

Public Member Functions
	Transformation2d ()
	Constructor.

	Transformation2d (const Transformation2d &theTrsf)
	Constructor.

	Transformation2d (const Matrix2d &theMatrix, const Vector2d &theTranslation, double theScale=1.0)

	Transformation2d (const Vector2d &theTranslation)

	Transformation2d (const Point2d &theP, double theAng)

	Transformation2d (const Point2d &theP, double theAng, const Vector2d &theTranslation)

bool	IsIdentity () const

void	ResetToIdentity ()

double	ScaleFactor () const

void	SetScaleFactor (double theScale)
	Sets a scale factor.

double	RotationAngle () const

const Matrix2d &	Rotation () const

void	SetRotation (const Matrix2d &theMatrix)

void	SetRotation (const Point2d &theP, double theAng)

const Vector2d &	Translation () const

void	SetTranslation (const Point2d &theP1, const Point2d &theP2)

void	SetTranslation (const Vector2d &theV)
	Sets a translation matrix.

bool	IsNegative () const

void	Invert ()
	Inverts the matrix.

Transformation2d	Inverted () const

void	Multiply (const Transformation2d &theTrsf)
	Multiplies this matrix with another one.

Transformation2d	Multiplied (const Transformation2d &theTrsf) const

void	Power (int theNum)

Transformation2d	Powered (int theNum)

bool	IsEqual (const Transformation2d &theOther) const

void	*operator=** (const Transformation2d &theTrsf)

Static Public Member Functions
static Transformation2d	MirrorTransformation (const Point2d &thePoint)

static Transformation2d	MirrorTransformation (const Axis2d &theAxis)

static Transformation2d	ScaleTransformation (const Point2d &thePoint, double theScale)

static Transformation2d	RotateTransformation (const Point2d &theVec, double theAngle)

static Transformation2d	TranslateTransformation (const Vector2d &theVector)

Protected Member Functions
void	Orthogonalize ()

Detailed Description

Defines a 2D transformation matrix.

Contains rotation and translation part and a scale factor. A rotation part (2 x 2 matrix) must not contain a scale factor or inversion, i.e. its matrix determinant must be equal to 1.

Individual matrix elements can retrieved using the Data() method.

Constructor & Destructor Documentation

◆ Transformation2d()

cadex::Geom::Transformation2d::Transformation2d ( )

Constructor.

Creates an identity matrix.

Member Function Documentation

◆ Invert()

void cadex::Geom::Transformation2d::Invert ( )

Inverts the matrix.

Makes this matrix an inverse, i.e. A * A^(-1) = I.

◆ SetScaleFactor()

void cadex::Geom::Transformation2d::SetScaleFactor ( double theScale )

Sets a scale factor.

See also: ScaleFactor().

◆ SetTranslation()

void cadex::Geom::Transformation2d::SetTranslation ( const Vector2d & theVec )

Sets a translation matrix.

Discards the existing transformation matrix and sets it to define translation for the specified vector.

Public Member Functions

Static Public Member Functions