Defines a transformation matrix. More...

#include <cadex/Geom/Transformation.hxx>

Public Member Functions
	Transformation ()
	Constructor.

	Transformation (const Transformation &theTrsf)
	Constructor.

	Transformation (const Matrix3d &theRotation, const Vector &theTranslation, double theScale=1.0)

	Transformation (const Axis3d &theAxis)

	Transformation (const Axis3d &theSource, const Axis3d &theTarget)

	Transformation (const Vector &theTranslation)

	Transformation (const Vector &theAxis, double theAngle, double theAngularPrecision=1.e-12)

	Transformation (const Axis1d &theAxis, double theAngle, double theAngularPrecision=1.e-12)

	Transformation (const Axis1d &theAxis, double theAngle, const Vector &theTranslation, double theAngularPrecision=1.e-12)
	Constructor.

bool	IsIdentity () const

void	ResetToIdentity ()

double	ScaleFactor () const
	Returns a scale factor.

void	SetScaleFactor (double theScale)
	Sets a scale factor.

const Vector &	Translation () const

void	SetTranslation (const Vector &theVector)

void	SetTranslation (const Point &thePoint1, const Point &thePoint2)

const Matrix3d &	Rotation () const

void	SetRotation (const Matrix3d &theMatrix)

void	SetRotation (const Axis1d &theAxis, double theAngle)

void	SetRotation (const Vector &theVec, double theAngle)

bool	IsNegative () const

void	Invert ()

Transformation	Inverted () const

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

Transformation	Multiplied (const Transformation &theTrsf) const

void	*operator=** (const Transformation &theTrsf)
	Multiplies this matrix with another one.

void	Power (int theNum)

Transformation	Powered (int theNum) const

bool	IsEqual (const Transformation &theOther) const

Static Public Member Functions
static Transformation	MirrorTransformation (const Point &thePoint)

static Transformation	MirrorTransformation (const Axis1d &theAxis)

static Transformation	MirrorTransformation (const Axis3d &theAxis)

static Transformation	ScaleTransformation (const Point &thePoint, double theScale)

static Transformation	RotateTransformation (const Vector &theVec, double theAngle)

static Transformation	RotateTransformation (const Axis1d &theAxis, double theAngle)

static Transformation	TranslateTransformation (const Vector &theVector)

Protected Member Functions
void	Orthogonalize ()

Detailed Description

Defines a transformation matrix.

Contains rotation and translation part and a scale factor. A rotation part (3 x 3 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

◆ Transformation() [1/2]

cadex::Geom::Transformation::Transformation ( )

Constructor.

Creates an identity matrix.

◆ Transformation() [2/2]

cadex::Geom::Transformation::Transformation	(	const Axis1d &	theAxis,
		double	theAngle,
		const Vector &	theTranslation,
		double	theAngularPrecision = 1.e-12 )

Constructor.

Creates a transformation matrix from rotation and translation components. If theAngle (in radians) is less than theAngularPrecision then the rotation component is ignored.

Member Function Documentation

◆ ScaleFactor()

double cadex::Geom::Transformation::ScaleFactor ( ) const

Returns a scale factor.

By default, a scale factor is 1.

See also: SetScaleFactor().

◆ SetScaleFactor()

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

Sets a scale factor.

See also: ScaleFactor().

Public Member Functions

Static Public Member Functions