Open CASCADE Technology
6.5.4
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The class Transformation allows to create Translation,
Rotation, Symmetry, Scaling and complex transformations
obtained by combination of the previous elementary
transformations.
The Transformation class can also be used to
construct complex transformations by combining
these elementary transformations.
However, these transformations can never change
the type of an object. For example, the projection
transformation can change a circle into an ellipse,
and therefore change the real type of the object.
Such a transformation is forbidden in this
environment and cannot be a Geom2d_Transformation.
The transformation can be represented as follow :
V1 V2 T
| a11 a12 a14 | | x | | x'|
| a21 a22 a24 | | 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.
More...
#include <Geom2d_Transformation.hxx>
Public Member Functions | |
Geom2d_Transformation () | |
Creates an identity transformation. | |
Geom2d_Transformation (const gp_Trsf2d &T) | |
Creates a persistent copy of T. | |
void | SetMirror (const gp_Pnt2d &P) |
Makes the transformation into a symmetrical transformation with respect to a point P. P is the center of the symmetry. | |
void | SetMirror (const gp_Ax2d &A) |
Makes the transformation into a symmetrical transformation with respect to an axis A. A is the center of the axial symmetry. | |
void | SetRotation (const gp_Pnt2d &P, const Standard_Real Ang) |
Assigns to this transformation the geometric properties of a rotation at angle Ang (in radians) about point P. | |
void | SetScale (const gp_Pnt2d &P, const Standard_Real S) |
Makes the transformation into a scale. P is the center of the scale and S is the scaling value. | |
void | SetTransformation (const gp_Ax2d &FromSystem1, const gp_Ax2d &ToSystem2) |
Makes a transformation allowing passage from the coordinate system "FromSystem1" to the coordinate system "ToSystem2". | |
void | SetTransformation (const gp_Ax2d &ToSystem) |
Makes 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 ToSystem. | |
void | SetTranslation (const gp_Vec2d &V) |
Makes the transformation into a translation. V is the vector of the translation. | |
void | SetTranslation (const gp_Pnt2d &P1, const gp_Pnt2d &P2) |
Makes the transformation into a translation from the point P1 to the point P2. | |
void | SetTrsf2d (const gp_Trsf2d &T) |
Makes the transformation into a transformation T from package gp. | |
Standard_Boolean | IsNegative () const |
Checks whether this transformation is an indirect transformation: returns true if the determinant of the matrix of the vectorial part of the transformation is less than 0. | |
gp_TrsfForm | Form () const |
Returns the nature of this transformation as a value of the gp_TrsfForm enumeration. Returns the nature of the transformation. It can be Identity, Rotation, Translation, PntMirror, Ax1Mirror, Scale, CompoundTrsf | |
Standard_Real | ScaleFactor () const |
Returns the scale value of the transformation. | |
gp_Trsf2d | Trsf2d () const |
Converts this transformation into a gp_Trsf2d transformation. Returns a non persistent copy of <me>. -C++: return const& | |
Standard_Real | Value (const Standard_Integer Row, const Standard_Integer Col) const |
Returns the coefficients of the global matrix of tranformation. It is a 2 rows X 3 columns matrix. Raised if Row < 1 or Row > 2 or Col < 1 or Col > 2 Computes the reverse transformation. | |
void | Invert () |
Computes the inverse of this transformation. and assigns the result to this transformatio Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. | |
Handle_Geom2d_Transformation | Inverted () const |
Computes the inverse of this transformation and creates a new one. Raises ConstructionError if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp. | |
Handle_Geom2d_Transformation | Multiplied (const Handle< Geom2d_Transformation > &Other) const |
Computes the transformation composed with Other and <me>. <me> * Other. Returns a new transformation | |
Handle_Geom2d_Transformation | operator* (const Handle< Geom2d_Transformation > &Other) const |
void | Multiply (const Handle< Geom2d_Transformation > &Other) |
Computes the transformation composed with Other and <me> . <me> = <me> * Other. Computes the following composition of transformations if N > 0 <me> * <me> * .......* <me>. if N = 0 Identity if N < 0 <me>.Invert() * .........* <me>.Invert() | |
void | operator*= (const Handle< Geom2d_Transformation > &Other) |
void | Power (const Standard_Integer N) |
Raised if N < 0 and if the transformation is not inversible | |
Handle_Geom2d_Transformation | Powered (const Standard_Integer N) const |
Raised if N < 0 and if the transformation is not inversible | |
void | PreMultiply (const Handle< Geom2d_Transformation > &Other) |
Computes the matrix of the transformation composed with <me> and Other. <me> = Other * <me> | |
void | Transforms (Standard_Real &X, Standard_Real &Y) const |
Applies the transformation <me> to the triplet {X, Y}. | |
Handle_Geom2d_Transformation | Copy () const |
Creates a new object, which is a copy of this transformation. |
Handle_Geom2d_Transformation Geom2d_Transformation::Copy | ( | ) | const |
gp_TrsfForm Geom2d_Transformation::Form | ( | ) | const |
Handle_Geom2d_Transformation Geom2d_Transformation::Inverted | ( | ) | const |
Handle_Geom2d_Transformation Geom2d_Transformation::Multiplied | ( | const Handle< Geom2d_Transformation > & | Other | ) | const |
void Geom2d_Transformation::Multiply | ( | const Handle< Geom2d_Transformation > & | Other | ) |
Handle_Geom2d_Transformation Geom2d_Transformation::operator* | ( | const Handle< Geom2d_Transformation > & | Other | ) | const [inline] |
void Geom2d_Transformation::operator*= | ( | const Handle< Geom2d_Transformation > & | Other | ) | [inline] |
Handle_Geom2d_Transformation Geom2d_Transformation::Powered | ( | const Standard_Integer | N | ) | const |
void Geom2d_Transformation::PreMultiply | ( | const Handle< Geom2d_Transformation > & | Other | ) |
void Geom2d_Transformation::SetRotation | ( | const gp_Pnt2d & | P, |
const Standard_Real | Ang | ||
) |
void Geom2d_Transformation::SetTransformation | ( | const gp_Ax2d & | FromSystem1, |
const gp_Ax2d & | ToSystem2 | ||
) |
void Geom2d_Transformation::SetTransformation | ( | const gp_Ax2d & | ToSystem | ) |
void Geom2d_Transformation::Transforms | ( | Standard_Real & | X, |
Standard_Real & | Y | ||
) | const |
gp_Trsf2d Geom2d_Transformation::Trsf2d | ( | ) | const |
Standard_Real Geom2d_Transformation::Value | ( | const Standard_Integer | Row, |
const Standard_Integer | Col | ||
) | const |