AnyCAD Rapid API 2023
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GTrsf类 参考

Public 成员函数

 GTrsf ()
 
 GTrsf (GTrsf2d theT)
 
void SetMirror (GPnt theP)
 
void SetMirror (GAx1 theA1)
 
void SetMirror (GAx2 theA2)
 
void SetRotation (GAx1 theA1, double theAng)
 
void SetRotation (GQuaternion theR)
 
void SetRotationPart (GQuaternion theR)
 
void SetScale (GPnt theP, double theS)
 
void SetDisplacement (GAx3 theFromSystem1, GAx3 theToSystem2)
 
void SetTransformation (GAx3 theFromSystem1, GAx3 theToSystem2)
 
void SetTransformation (GAx3 theToSystem)
 
void SetTransformation (GQuaternion R, GVec theT)
 
void SetTranslation (GVec theV)
 
void SetTranslation (GPnt theP1, GPnt theP2)
 
void SetTranslationPart (GVec theV)
 
void SetScaleFactor (double theS)
 
void SetForm (GTrsfForm theP)
 
void SetValues (double a11, double a12, double a13, double a14, double a21, double a22, double a23, double a24, double a31, double a32, double a33, double a34)
 
boolean IsNegative ()
 
GTrsfForm Form ()
 
double ScaleFactor ()
 
GXYZ TranslationPart ()
 
boolean GetRotation (GXYZ theAxis, double[] theAngle)
 
GQuaternion GetRotation ()
 
GMat VectorialPart ()
 
GMat HVectorialPart ()
 
double Value (int theRow, int theCol)
 
void Invert ()
 
GTrsf Inverted ()
 
GTrsf Multiplied (GTrsf theT)
 
void Multiply (GTrsf theT)
 
void PreMultiply (GTrsf theT)
 
void Power (int theN)
 
GTrsf Powered (int theN)
 
void Transforms (double[] theX, double[] theY, double[] theZ)
 
void Transforms (GXYZ theCoord)
 

详细描述

Defines a non-persistent transformation in 3D space. The following transformations are implemented : . Translation, Rotation, Scale . Symmetry with respect to a point, a line, a plane. Complex transformations can be obtained by combining the previous elementary transformations using the method Multiply. The transformations can be represented as follow : V1 V2 V3 T XYZ XYZ | a11 a12 a13 a14 | | x | | x'| | a21 a22 a23 a24 | | y | | y'| | a31 a32 a33 a34 | | z | = | z'| | 0 0 0 1 | | 1 | | 1 | where {V1, V2, V3} 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

◆ GTrsf() [1/2]

GTrsf.GTrsf ( )

Returns the identity transformation.

◆ GTrsf() [2/2]

GTrsf.GTrsf ( GTrsf2d  theT)

Creates a 3D transformation from the 2D transformation theT. The resulting transformation has a homogeneous vectorial part, V3, and a translation part, T3, built from theT: a11 a12 0 a13 V3 = a21 a22 0 T3 = a23 0 0 1. 0 It also has the same scale factor as theT. This guarantees (by projection) that the transformation which would be performed by theT in a plane (2D space) is performed by the resulting transformation in the xOy plane of the 3D space, (i.e. in the plane defined by the origin (0., 0., 0.) and the vectors DX (1., 0., 0.), and DY (0., 1., 0.)). The scale factor is applied to the entire space.

成员函数说明

◆ Form()

GTrsfForm GTrsf.Form ( )

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

◆ GetRotation() [1/2]

GQuaternion GTrsf.GetRotation ( )

Returns quaternion representing rotational part of the transformation.

◆ GetRotation() [2/2]

boolean GTrsf.GetRotation ( GXYZ  theAxis,
double[]  theAngle 
)

Returns the boolean True if there is non-zero rotation. In the presence of rotation, the output parameters store the axis and the angle of rotation. The method always returns positive value "theAngle", i.e., 0. < theAngle <= PI. Note that this rotation is defined only by the vectorial part of the transformation; generally you would need to check also the translational part to obtain the axis (gp_Ax1) of rotation.

◆ HVectorialPart()

GMat GTrsf.HVectorialPart ( )

Computes the homogeneous vectorial part of the transformation. It is a 3*3 matrix which doesn't include the scale factor. In other words, the vectorial part of this transformation is equal to its homogeneous vectorial part, multiplied by the scale factor. The coefficients of this matrix must be multiplied by the scale factor to obtain the coefficients of the transformation.

◆ Inverted()

GTrsf GTrsf.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. Computes the transformation composed with T and <me>. In a C++ implementation you can also write Tcomposed = <me> * T. Example : gp_Trsf T1, T2, Tcomp; ............... Tcomp = T2.Multiplied(T1); // or (Tcomp = T2 * T1) gp_Pnt P1(10.,3.,4.); gp_Pnt P2 = P1.Transformed(Tcomp); // using Tcomp gp_Pnt P3 = P1.Transformed(T1); // using T1 then T2 P3.Transform(T2); // P3 = P2 !!!

◆ IsNegative()

boolean GTrsf.IsNegative ( )

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

◆ Multiply()

void GTrsf.Multiply ( GTrsf  theT)

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

◆ Powered()

GTrsf GTrsf.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 GTrsf.PreMultiply ( GTrsf  theT)

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

◆ ScaleFactor()

double GTrsf.ScaleFactor ( )

Returns the scale factor.

◆ SetDisplacement()

void GTrsf.SetDisplacement ( GAx3  theFromSystem1,
GAx3  theToSystem2 
)

Modifies this transformation so that it transforms the coordinate system defined by theFromSystem1 into the one defined by theToSystem2. After this modification, this transformation transforms: - the origin of theFromSystem1 into the origin of theToSystem2, - the "X Direction" of theFromSystem1 into the "X Direction" of theToSystem2, - the "Y Direction" of theFromSystem1 into the "Y Direction" of theToSystem2, and - the "main Direction" of theFromSystem1 into the "main Direction" of theToSystem2. Warning When you know the coordinates of a point in one coordinate system and you want to express these coordinates in another one, do not use the transformation resulting from this function. Use the transformation that results from SetTransformation instead. SetDisplacement and SetTransformation create related transformations: the vectorial part of one is the inverse of the vectorial part of the other.

◆ SetMirror() [1/3]

void GTrsf.SetMirror ( GAx1  theA1)

Makes the transformation into a symmetrical transformation. theA1 is the center of the axial symmetry.

◆ SetMirror() [2/3]

void GTrsf.SetMirror ( GAx2  theA2)

Makes the transformation into a symmetrical transformation. theA2 is the center of the planar symmetry and defines the plane of symmetry by its origin, "X Direction" and "Y Direction".

◆ SetMirror() [3/3]

void GTrsf.SetMirror ( GPnt  theP)

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

◆ SetRotation() [1/2]

void GTrsf.SetRotation ( GAx1  theA1,
double  theAng 
)

Changes the transformation into a rotation. theA1 is the rotation axis and theAng is the angular value of the rotation in radians.

◆ SetRotation() [2/2]

void GTrsf.SetRotation ( GQuaternion  theR)

Changes the transformation into a rotation defined by quaternion. Note that rotation is performed around origin, i.e. no translation is involved.

◆ SetRotationPart()

void GTrsf.SetRotationPart ( GQuaternion  theR)

Replaces the rotation part with specified quaternion.

◆ SetScale()

void GTrsf.SetScale ( GPnt  theP,
double  theS 
)

Changes the transformation into a scale. theP is the center of the scale and theS is the scaling value. Raises ConstructionError If <theS> is null.

◆ SetScaleFactor()

void GTrsf.SetScaleFactor ( double  theS)

Modifies the scale factor. Raises ConstructionError If theS is null.

◆ SetTransformation() [1/3]

void GTrsf.SetTransformation ( GAx3  theFromSystem1,
GAx3  theToSystem2 
)

Modifies this transformation so that it transforms the coordinates of any point, (x, y, z), relative to a source coordinate system into the coordinates (x', y', z') which are relative to a target coordinate system, but which represent the same point The transformation is from the coordinate system "theFromSystem1" to the coordinate system "theToSystem2". Example : gp_Ax3 theFromSystem1, theToSystem2; double x1, y1, z1; // are the coordinates of a point in the local system theFromSystem1 double x2, y2, z2; // are the coordinates of a point in the local system theToSystem2 gp_Pnt P1 (x1, y1, z1) gp_Trsf T; T.SetTransformation (theFromSystem1, theToSystem2); gp_Pnt P2 = P1.Transformed (T); P2.Coord (x2, y2, z2);

◆ SetTransformation() [2/3]

void GTrsf.SetTransformation ( GAx3  theToSystem)

Modifies this transformation so that it transforms the coordinates of any point, (x, y, z), relative to a source coordinate system into the coordinates (x', y', z') which are relative to a target coordinate system, but which represent the same point The transformation is from the default coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.), VZ (0., 0. ,1.) } to the local coordinate system defined with the Ax3 theToSystem. Use in the same way as the previous method. FromSystem1 is defaulted to the absolute coordinate system.

◆ SetTransformation() [3/3]

void GTrsf.SetTransformation ( GQuaternion  R,
GVec  theT 
)

Sets transformation by directly specified rotation and translation.

◆ SetTranslation() [1/2]

void GTrsf.SetTranslation ( GPnt  theP1,
GPnt  theP2 
)

Makes the transformation into a translation where the translation vector is the vector (theP1, theP2) defined from point theP1 to point theP2.

◆ SetTranslation() [2/2]

void GTrsf.SetTranslation ( GVec  theV)

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

◆ SetTranslationPart()

void GTrsf.SetTranslationPart ( GVec  theV)

Replaces the translation vector with the vector theV.

◆ SetValues()

void GTrsf.SetValues ( double  a11,
double  a12,
double  a13,
double  a14,
double  a21,
double  a22,
double  a23,
double  a24,
double  a31,
double  a32,
double  a33,
double  a34 
)

Sets the coefficients of the transformation. The transformation of the point x,y,z is the point x',y',z' with : x' = a11 x + a12 y + a13 z + a14 y' = a21 x + a22 y + a23 z + a24 z' = a31 x + a32 y + a33 z + a34 The method Value(i,j) will return aij. Raises ConstructionError if the determinant of the aij is null. The matrix is orthogonalized before future using.

◆ Transforms()

void GTrsf.Transforms ( GXYZ  theCoord)

Transformation of a triplet XYZ with a Trsf

◆ TranslationPart()

GXYZ GTrsf.TranslationPart ( )

Returns the translation part of the transformation's matrix

◆ Value()

double GTrsf.Value ( int  theRow,
int  theCol 
)

Returns the coefficients of the transformation's matrix. It is a 3 rows * 4 columns matrix. This coefficient includes the scale factor. Raises OutOfRanged if theRow < 1 or theRow > 3 or theCol < 1 or theCol > 4

◆ VectorialPart()

GMat GTrsf.VectorialPart ( )

Returns the vectorial part of the transformation. It is a 3*3 matrix which includes the scale factor.