// Created on: 1993-03-24 // Created by: JCV // Copyright (c) 1993-1999 Matra Datavision // Copyright (c) 1999-2014 OPEN CASCADE SAS // // This file is part of Open CASCADE Technology software library. // // This library is free software; you can redistribute it and/or modify it under // the terms of the GNU Lesser General Public License version 2.1 as published // by the Free Software Foundation, with special exception defined in the file // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT // distribution for complete text of the license and disclaimer of any warranty. // // Alternatively, this file may be used under the terms of Open CASCADE // commercial license or contractual agreement. #ifndef _Geom2d_Transformation_HeaderFile #define _Geom2d_Transformation_HeaderFile #include #include #include #include #include #include #include #include class gp_Pnt2d; class gp_Ax2d; class gp_Vec2d; class Geom2d_Transformation; DEFINE_STANDARD_HANDLE(Geom2d_Transformation, Standard_Transient) //! 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. //! - Geom2d_Transformation transformations provide //! the same kind of "geometric" services as //! gp_Trsf2d ones but have more complex data //! structures. The geometric objects provided by the //! Geom2d package use gp_Trsf2d transformations //! in the syntaxes Transform and Transformed. //! - Geom2d_Transformation transformations are //! used in a context where they can be shared by //! several objects contained inside a common data structure. class Geom2d_Transformation : public Standard_Transient { public: //! Creates an identity transformation. Standard_EXPORT Geom2d_Transformation(); //! Creates a persistent copy of T. Standard_EXPORT Geom2d_Transformation(const gp_Trsf2d& T); //! Makes the transformation into a symmetrical transformation //! with respect to a point P. //! P is the center of the symmetry. Standard_EXPORT void SetMirror (const gp_Pnt2d& P); //! Makes the transformation into a symmetrical transformation //! with respect to an axis A. //! A is the center of the axial symmetry. Standard_EXPORT void SetMirror (const gp_Ax2d& A); //! Assigns to this transformation the geometric //! properties of a rotation at angle Ang (in radians) about point P. Standard_EXPORT void SetRotation (const gp_Pnt2d& P, const Standard_Real Ang); //! Makes the transformation into a scale. P is the center of //! the scale and S is the scaling value. Standard_EXPORT void SetScale (const gp_Pnt2d& P, const Standard_Real S); //! Makes a transformation allowing passage from the coordinate //! system "FromSystem1" to the coordinate system "ToSystem2". Standard_EXPORT void SetTransformation (const gp_Ax2d& FromSystem1, const gp_Ax2d& ToSystem2); //! 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. Standard_EXPORT void SetTransformation (const gp_Ax2d& ToSystem); //! Makes the transformation into a translation. //! V is the vector of the translation. Standard_EXPORT void SetTranslation (const gp_Vec2d& V); //! Makes the transformation into a translation from the point //! P1 to the point P2. Standard_EXPORT void SetTranslation (const gp_Pnt2d& P1, const gp_Pnt2d& P2); //! Makes the transformation into a transformation T from //! package gp. Standard_EXPORT void SetTrsf2d (const gp_Trsf2d& T); //! 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. Standard_EXPORT Standard_Boolean IsNegative() 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_EXPORT gp_TrsfForm Form() const; //! Returns the scale value of the transformation. Standard_EXPORT Standard_Real ScaleFactor() const; //! Converts this transformation into a gp_Trsf2d transformation. //! Returns a non persistent copy of . //! -C++: return const& Standard_EXPORT gp_Trsf2d Trsf2d() const; //! Returns the coefficients of the global matrix of transformation. //! 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. Standard_EXPORT Standard_Real Value (const Standard_Integer Row, const Standard_Integer Col) const; //! Computes the inverse of this transformation. //! and assigns the result to this transformatio //! //! Raised if the transformation is singular. This means that //! the ScaleFactor is lower or equal to Resolution from //! package gp. Standard_EXPORT void Invert(); //! Computes the inverse of this transformation and creates a new one. //! Raises ConstructionError if the transformation is singular. This means that //! the ScaleFactor is lower or equal to Resolution from package gp. Standard_NODISCARD Standard_EXPORT Handle(Geom2d_Transformation) Inverted() const; //! Computes the transformation composed with Other and . //! * Other. //! Returns a new transformation Standard_NODISCARD Standard_EXPORT Handle(Geom2d_Transformation) Multiplied (const Handle(Geom2d_Transformation)& Other) const; Standard_NODISCARD Handle(Geom2d_Transformation) operator * (const Handle(Geom2d_Transformation)& Other) const { return Multiplied(Other); } //! Computes the transformation composed with Other and . //! = * Other. //! //! Computes the following composition of transformations //! if N > 0 * * .......* . //! if N = 0 Identity //! if N < 0 .Invert() * .........* .Invert() Standard_EXPORT void Multiply (const Handle(Geom2d_Transformation)& Other); void operator *= (const Handle(Geom2d_Transformation)& Other) { Multiply(Other); } //! Raised if N < 0 and if the transformation is not inversible Standard_EXPORT void Power (const Standard_Integer N); //! Raised if N < 0 and if the transformation is not inversible Standard_EXPORT Handle(Geom2d_Transformation) Powered (const Standard_Integer N) const; //! Computes the matrix of the transformation composed with //! and Other. = Other * Standard_EXPORT void PreMultiply (const Handle(Geom2d_Transformation)& Other); //! Applies the transformation to the triplet {X, Y}. Standard_EXPORT void Transforms (Standard_Real& X, Standard_Real& Y) const; //! Creates a new object, which is a copy of this transformation. Standard_EXPORT Handle(Geom2d_Transformation) Copy() const; DEFINE_STANDARD_RTTIEXT(Geom2d_Transformation,Standard_Transient) protected: private: gp_Trsf2d gpTrsf2d; }; #endif // _Geom2d_Transformation_HeaderFile