Defines a non-persistent transformation in 2D space. The following transformations are implemented : More...

#include <gp_Trsf2d.hxx>

Public Member Functions
	gp_Trsf2d ()
	Returns identity transformation.

	gp_Trsf2d (const gp_Trsf &theT)
	Creates a 2d transformation in the XY plane from a 3d transformation .

void	SetMirror (const gp_Pnt2d &theP)
	Changes the transformation into a symmetrical transformation. theP is the center of the symmetry.

void	SetMirror (const gp_Ax2d &theA)
	Changes the transformation into a symmetrical transformation. theA is the center of the axial symmetry.

void	SetRotation (const gp_Pnt2d &theP, const Standard_Real theAng)
	Changes the transformation into a rotation. theP is the rotation's center and theAng is the angular value of the rotation in radian.

void	SetScale (const gp_Pnt2d &theP, const Standard_Real theS)
	Changes the transformation into a scale. theP is the center of the scale and theS is the scaling value.

void	SetTransformation (const gp_Ax2d &theFromSystem1, const gp_Ax2d &theToSystem2)
	Changes a transformation allowing passage from the coordinate system "theFromSystem1" to the coordinate system "theToSystem2".

void	SetTransformation (const gp_Ax2d &theToSystem)
	Changes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.)} to the local coordinate system defined with the Ax2d theToSystem.

void	SetTranslation (const gp_Vec2d &theV)
	Changes the transformation into a translation. theV is the vector of the translation.

void	SetTranslation (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2)
	Makes the transformation into a translation from the point theP1 to the point theP2.

void	SetTranslationPart (const gp_Vec2d &theV)
	Replaces the translation vector with theV.

void	SetScaleFactor (const Standard_Real theS)
	Modifies the scale factor.

Standard_Boolean	IsNegative () const
	Returns true if the determinant of the vectorial part of this transformation is negative..

gp_TrsfForm	Form () const
	Returns the nature of the transformation. It can be an identity transformation, a rotation, a translation, a mirror (relative to a point or an axis), a scaling transformation, or a compound transformation.

Standard_Real	ScaleFactor () const
	Returns the scale factor.

const gp_XY &	TranslationPart () const
	Returns the translation part of the transformation's matrix.

gp_Mat2d	VectorialPart () const
	Returns the vectorial part of the transformation. It is a 2*2 matrix which includes the scale factor.

const gp_Mat2d &	HVectorialPart () const
	Returns the homogeneous vectorial part of the transformation. It is a 2*2 matrix which doesn't include the scale factor. The coefficients of this matrix must be multiplied by the scale factor to obtain the coefficients of the transformation.

Standard_Real	RotationPart () const
	Returns the angle corresponding to the rotational component of the transformation matrix (operation opposite to SetRotation()).

Standard_Real	Value (const Standard_Integer theRow, const Standard_Integer theCol) const
	Returns the coefficients of the transformation's matrix. It is a 2 rows * 3 columns matrix. Raises OutOfRange if theRow < 1 or theRow > 2 or theCol < 1 or theCol > 3.

void	Invert ()

gp_Trsf2d	Inverted () const
	Computes the reverse transformation. Raises an exception if the matrix of the transformation is not inversible, it means that the scale factor is lower or equal to Resolution from package gp.

gp_Trsf2d	Multiplied (const gp_Trsf2d &theT) const

gp_Trsf2d	operator* (const gp_Trsf2d &theT) const

void	Multiply (const gp_Trsf2d &theT)
	Computes the transformation composed from <me> and theT. <me> = <me> * theT.

void	operator*= (const gp_Trsf2d &theT)

void	PreMultiply (const gp_Trsf2d &theT)
	Computes the transformation composed from <me> and theT. <me> = theT * <me>

void	Power (const Standard_Integer theN)

gp_Trsf2d	Powered (const Standard_Integer theN)
	Computes the following composition of transformations <me> * <me> * .......* <me>, theN time. if theN = 0 <me> = Identity if theN < 0 <me> = <me>.Inverse() ........... <me>.Inverse().

void	Transforms (Standard_Real &theX, Standard_Real &theY) const

void	Transforms (gp_XY &theCoord) const
	Transforms a doublet XY with a Trsf2d.

void	SetValues (const Standard_Real a11, const Standard_Real a12, const Standard_Real a13, const Standard_Real a21, const Standard_Real a22, const Standard_Real a23)
	Sets the coefficients of the transformation. The transformation of the point x,y is the point x',y' with :

Protected Member Functions
void	Orthogonalize ()
	Makes orthogonalization of "matrix".

Detailed Description

Defines a non-persistent transformation in 2D space. The following transformations are implemented :

Translation, Rotation, Scale
Symmetry with respect to a point and a line. Complex transformations can be obtained by combining the previous elementary transformations using the method Multiply. The transformations can be represented as follow :
V1 V2 T XY XY

| a11 a12 a13 | | x | | x'|

| a21 a22 a23 | | y | | y'|

| 0 0 1 | | 1 | | 1 |

where {V1, V2} defines the vectorial part of the transformation and T defines the translation part of the transformation. This transformation never change the nature of the objects.

Constructor & Destructor Documentation

◆ gp_Trsf2d() [1/2]

gp_Trsf2d::gp_Trsf2d ( )

inline

Returns identity transformation.

◆ gp_Trsf2d() [2/2]

gp_Trsf2d::gp_Trsf2d ( const gp_Trsf & theT )

inline

Creates a 2d transformation in the XY plane from a 3d transformation .

Member Function Documentation

◆ Form()

gp_TrsfForm gp_Trsf2d::Form ( ) const

inline

Returns the nature of the transformation. It can be an identity transformation, a rotation, a translation, a mirror (relative to a point or an axis), a scaling transformation, or a compound transformation.

◆ HVectorialPart()

const gp_Mat2d & gp_Trsf2d::HVectorialPart ( ) const

inline

Returns the homogeneous vectorial part of the transformation. It is a 2*2 matrix which doesn't include the scale factor. The coefficients of this matrix must be multiplied by the scale factor to obtain the coefficients of the transformation.

◆ Invert()

void gp_Trsf2d::Invert ( )

◆ Inverted()

gp_Trsf2d gp_Trsf2d::Inverted ( ) const

inline

Computes the reverse transformation. Raises an exception if the matrix of the transformation is not inversible, it means that the scale factor is lower or equal to Resolution from package gp.

◆ IsNegative()

Standard_Boolean gp_Trsf2d::IsNegative ( ) const

inline

Returns true if the determinant of the vectorial part of this transformation is negative..

◆ Multiplied()

gp_Trsf2d gp_Trsf2d::Multiplied ( const gp_Trsf2d & theT ) const

inline

◆ Multiply()

void gp_Trsf2d::Multiply ( const gp_Trsf2d & theT )

Computes the transformation composed from <me> and theT. <me> = <me> * theT.

◆ operator*()

gp_Trsf2d gp_Trsf2d::operator* ( const gp_Trsf2d & theT ) const

inline

◆ operator*=()

void gp_Trsf2d::operator*= ( const gp_Trsf2d & theT )

inline

◆ Orthogonalize()

void gp_Trsf2d::Orthogonalize ( )

protected

Makes orthogonalization of "matrix".

◆ Power()

void gp_Trsf2d::Power ( const Standard_Integer theN )

◆ Powered()

gp_Trsf2d gp_Trsf2d::Powered ( const Standard_Integer theN )

inline

Computes the following composition of transformations <me> * <me> * .......* <me>, theN time. if theN = 0 <me> = Identity if theN < 0 <me> = <me>.Inverse() ........... <me>.Inverse().

Raises if theN < 0 and if the matrix of the transformation not inversible.

◆ PreMultiply()

void gp_Trsf2d::PreMultiply ( const gp_Trsf2d & theT )

Computes the transformation composed from <me> and theT. <me> = theT * <me>

◆ RotationPart()

Standard_Real gp_Trsf2d::RotationPart ( ) const

Returns the angle corresponding to the rotational component of the transformation matrix (operation opposite to SetRotation()).

◆ ScaleFactor()

Standard_Real gp_Trsf2d::ScaleFactor ( ) const

inline

Returns the scale factor.

◆ SetMirror() [1/2]

void gp_Trsf2d::SetMirror ( const gp_Ax2d & theA )

Changes the transformation into a symmetrical transformation. theA is the center of the axial symmetry.

◆ SetMirror() [2/2]

void gp_Trsf2d::SetMirror ( const gp_Pnt2d & theP )

inline

Changes the transformation into a symmetrical transformation. theP is the center of the symmetry.

◆ SetRotation()

void gp_Trsf2d::SetRotation	(	const gp_Pnt2d &	theP,
		const Standard_Real	theAng )

inline

Changes the transformation into a rotation. theP is the rotation's center and theAng is the angular value of the rotation in radian.

◆ SetScale()

void gp_Trsf2d::SetScale	(	const gp_Pnt2d &	theP,
		const Standard_Real	theS )

inline

Changes the transformation into a scale. theP is the center of the scale and theS is the scaling value.

◆ SetScaleFactor()

void gp_Trsf2d::SetScaleFactor ( const Standard_Real theS )

Modifies the scale factor.

◆ SetTransformation() [1/2]

void gp_Trsf2d::SetTransformation	(	const gp_Ax2d &	theFromSystem1,
		const gp_Ax2d &	theToSystem2 )

Changes a transformation allowing passage from the coordinate system "theFromSystem1" to the coordinate system "theToSystem2".

◆ SetTransformation() [2/2]

void gp_Trsf2d::SetTransformation ( const gp_Ax2d & theToSystem )

Changes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.)} to the local coordinate system defined with the Ax2d theToSystem.

◆ SetTranslation() [1/2]

void gp_Trsf2d::SetTranslation	(	const gp_Pnt2d &	theP1,
		const gp_Pnt2d &	theP2 )

inline

Makes the transformation into a translation from the point theP1 to the point theP2.

◆ SetTranslation() [2/2]

void gp_Trsf2d::SetTranslation ( const gp_Vec2d & theV )

inline

Changes the transformation into a translation. theV is the vector of the translation.

◆ SetTranslationPart()

void gp_Trsf2d::SetTranslationPart ( const gp_Vec2d & theV )

Replaces the translation vector with theV.

◆ SetValues()

void gp_Trsf2d::SetValues	(	const Standard_Real	a11,
		const Standard_Real	a12,
		const Standard_Real	a13,
		const Standard_Real	a21,
		const Standard_Real	a22,
		const Standard_Real	a23 )

Sets the coefficients of the transformation. The transformation of the point x,y is the point x',y' with :

x' = a11 x + a12 y + a13

y' = a21 x + a22 y + a23

The method Value(i,j) will return aij. Raises ConstructionError if the determinant of the aij is null. If the matrix as not a uniform scale it will be orthogonalized before future using.

◆ Transforms() [1/2]

void gp_Trsf2d::Transforms ( gp_XY & theCoord ) const

inline

Transforms a doublet XY with a Trsf2d.

◆ Transforms() [2/2]

void gp_Trsf2d::Transforms	(	Standard_Real &	theX,
		Standard_Real &	theY ) const

inline

◆ TranslationPart()

const gp_XY & gp_Trsf2d::TranslationPart ( ) const

inline

Returns the translation part of the transformation's matrix.

◆ Value()

Standard_Real gp_Trsf2d::Value	(	const Standard_Integer	theRow,
		const Standard_Integer	theCol ) const

inline

Returns the coefficients of the transformation's matrix. It is a 2 rows * 3 columns matrix. Raises OutOfRange if theRow < 1 or theRow > 2 or theCol < 1 or theCol > 3.

◆ VectorialPart()

gp_Mat2d gp_Trsf2d::VectorialPart ( ) const

Returns the vectorial part of the transformation. It is a 2*2 matrix which includes the scale factor.

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

gp_Trsf2d.hxx

Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Trsf2d() [1/2]

◆ gp_Trsf2d() [2/2]

Member Function Documentation

◆ Form()

◆ HVectorialPart()

◆ Invert()

◆ Inverted()

◆ IsNegative()

◆ Multiplied()

◆ Multiply()

◆ operator*()

◆ operator*=()

◆ Orthogonalize()

◆ Power()

◆ Powered()

◆ PreMultiply()

◆ RotationPart()

◆ ScaleFactor()

◆ SetMirror() [1/2]

◆ SetMirror() [2/2]

◆ SetRotation()

◆ SetScale()

◆ SetScaleFactor()

◆ SetTransformation() [1/2]

◆ SetTransformation() [2/2]

◆ SetTranslation() [1/2]

◆ SetTranslation() [2/2]

◆ SetTranslationPart()

◆ SetValues()

◆ Transforms() [1/2]

◆ Transforms() [2/2]

◆ TranslationPart()

◆ Value()

◆ VectorialPart()