Public 成员函数
	GTrsf2d ()

	GTrsf2d (GTrsf theT)

void	SetMirror (GPnt2d theP)

void	SetMirror (GAx2d theA)

void	SetRotation (GPnt2d theP, double theAng)

void	SetScale (GPnt2d theP, double theS)

void	SetTransformation (GAx2d theFromSystem1, GAx2d theToSystem2)

void	SetTransformation (GAx2d theToSystem)

void	SetTranslation (GVec2d theV)

void	SetTranslation (GPnt2d theP1, GPnt2d theP2)

void	SetTranslationPart (GVec2d theV)

void	SetScaleFactor (double theS)

boolean	IsNegative ()

GTrsfForm	Form ()

double	ScaleFactor ()

GXY	TranslationPart ()

GMat2d	VectorialPart ()

GMat2d	HVectorialPart ()

double	RotationPart ()

double	Value (int theRow, int theCol)

void	Invert ()

GTrsf2d	Inverted ()

GTrsf2d	Multiplied (GTrsf2d theT)

void	Multiply (GTrsf2d theT)

void	PreMultiply (GTrsf2d theT)

void	Power (int theN)

GTrsf2d	Powered (int theN)

void	Transforms (double[] theX, double[] theY)

void	Transforms (GXY theCoord)

void	SetValues (double a11, double a12, double a13, double a21, double a22, double a23)

详细描述

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.

构造及析构函数说明

◆ GTrsf2d() [1/2]

GTrsf2d.GTrsf2d ( )

Returns identity transformation.

◆ GTrsf2d() [2/2]

GTrsf2d.GTrsf2d ( GTrsf theT )

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

成员函数说明

◆ Form()

GTrsfForm GTrsf2d.Form ( )

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()

GMat2d GTrsf2d.HVectorialPart ( )

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.

◆ Inverted()

GTrsf2d GTrsf2d.Inverted ( )

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()

boolean GTrsf2d.IsNegative ( )

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

◆ Multiply()

void GTrsf2d.Multiply ( GTrsf2d theT )

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

◆ Powered()

GTrsf2d GTrsf2d.Powered ( int 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(). Raises if theN < 0 and if the matrix of the transformation not inversible.

◆ PreMultiply()

void GTrsf2d.PreMultiply ( GTrsf2d theT )

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

◆ RotationPart()

double GTrsf2d.RotationPart ( )

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

◆ ScaleFactor()

double GTrsf2d.ScaleFactor ( )

Returns the scale factor.

◆ SetMirror() [1/2]

void GTrsf2d.SetMirror ( GAx2d theA )

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

◆ SetMirror() [2/2]

void GTrsf2d.SetMirror ( GPnt2d theP )

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

◆ SetRotation()

void GTrsf2d.SetRotation	(	GPnt2d	theP,
		double	theAng
	)

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 GTrsf2d.SetScale	(	GPnt2d	theP,
		double	theS
	)

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

◆ SetScaleFactor()

void GTrsf2d.SetScaleFactor ( double theS )

Modifies the scale factor.

◆ SetTransformation() [1/2]

void GTrsf2d.SetTransformation	(	GAx2d	theFromSystem1,
		GAx2d	theToSystem2
	)

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

◆ SetTransformation() [2/2]

void GTrsf2d.SetTransformation ( GAx2d 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 GTrsf2d.SetTranslation	(	GPnt2d	theP1,
		GPnt2d	theP2
	)

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

◆ SetTranslation() [2/2]

void GTrsf2d.SetTranslation ( GVec2d theV )

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

◆ SetTranslationPart()

void GTrsf2d.SetTranslationPart ( GVec2d theV )

Replaces the translation vector with theV.

◆ SetValues()

void GTrsf2d.SetValues	(	double	a11,
		double	a12,
		double	a13,
		double	a21,
		double	a22,
		double	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()

void GTrsf2d.Transforms ( GXY theCoord )

Transforms a doublet XY with a Trsf2d

◆ TranslationPart()

GXY GTrsf2d.TranslationPart ( )

Returns the translation part of the transformation's matrix

◆ Value()

double GTrsf2d.Value	(	int	theRow,
		int	theCol
	)

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()

GMat2d GTrsf2d.VectorialPart ( )

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

Public 成员函数