Open CASCADE Technology  7.6.0.dev
Public Member Functions | Protected Member Functions

gp_Trsf2d Class Reference

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. More...
 
 gp_Trsf2d (const gp_Trsf &theT)
 Creates a 2d transformation in the XY plane from a 3d transformation . More...
 
void SetMirror (const gp_Pnt2d &theP)
 Changes the transformation into a symmetrical transformation. theP is the center of the symmetry. More...
 
void SetMirror (const gp_Ax2d &theA)
 Changes the transformation into a symmetrical transformation. theA is the center of the axial symmetry. More...
 
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. More...
 
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. More...
 
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". More...
 
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. More...
 
void SetTranslation (const gp_Vec2d &theV)
 Changes the transformation into a translation. theV is the vector of the translation. More...
 
void SetTranslation (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2)
 Makes the transformation into a translation from the point theP1 to the point theP2. More...
 
void SetTranslationPart (const gp_Vec2d &theV)
 Replaces the translation vector with theV. More...
 
void SetScaleFactor (const Standard_Real theS)
 Modifies the scale factor. More...
 
Standard_Boolean IsNegative () const
 Returns true if the determinant of the vectorial part of this transformation is negative.. More...
 
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. More...
 
Standard_Real ScaleFactor () const
 Returns the scale factor. More...
 
const gp_XYTranslationPart () const
 Returns the translation part of the transformation's matrix. More...
 
gp_Mat2d VectorialPart () const
 Returns the vectorial part of the transformation. It is a 2*2 matrix which includes the scale factor. More...
 
const gp_Mat2dHVectorialPart () 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. More...
 
Standard_Real RotationPart () const
 Returns the angle corresponding to the rotational component of the transformation matrix (operation opposite to SetRotation()). More...
 
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. More...
 
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. More...
 
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. More...
 
void operator*= (const gp_Trsf2d &theT)
 
void PreMultiply (const gp_Trsf2d &theT)
 Computes the transformation composed from <me> and theT. <me> = theT * <me> More...
 
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(). More...
 
void Transforms (Standard_Real &theX, Standard_Real &theY) const
 
void Transforms (gp_XY &theCoord) const
 Transforms a doublet XY with a Trsf2d. More...
 
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 : More...
 

Protected Member Functions

void Orthogonalize ()
 Makes orthogonalization of "matrix". More...
 

Detailed Description

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

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
GLint GLint GLint GLint GLint GLint y
Definition: OpenGl_GLESExtensions.hxx:128

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: