// Copyright (c) 1991-1999 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 _gp_Ax22d_HeaderFile #define _gp_Ax22d_HeaderFile #include #include #include #include #include #include #include #include class Standard_ConstructionError; class gp_Pnt2d; class gp_Dir2d; class gp_Ax2d; class gp_Trsf2d; class gp_Vec2d; //! Describes a coordinate system in a plane (2D space). //! A coordinate system is defined by: //! - its origin (also referred to as its "Location point"), and //! - two orthogonal unit vectors, respectively, called the "X //! Direction" and the "Y Direction". //! A gp_Ax22d may be right-handed ("direct sense") or //! left-handed ("inverse" or "indirect sense"). //! You use a gp_Ax22d to: //! - describe 2D geometric entities, in particular to position //! them. The local coordinate system of a geometric //! entity serves for the same purpose as the STEP //! function "axis placement two axes", or //! - define geometric transformations. //! Note: we refer to the "X Axis" and "Y Axis" as the axes having: //! - the origin of the coordinate system as their origin, and //! - the unit vectors "X Direction" and "Y Direction", //! respectively, as their unit vectors. class gp_Ax22d { public: DEFINE_STANDARD_ALLOC //! Creates an object representing the reference //! co-ordinate system (OXY). gp_Ax22d(); //! Creates a coordinate system with origin P and where: //! - Vx is the "X Direction", and //! - the "Y Direction" is orthogonal to Vx and //! oriented so that the cross products Vx^"Y //! Direction" and Vx^Vy have the same sign. //! Raises ConstructionError if Vx and Vy are parallel (same or opposite orientation). gp_Ax22d(const gp_Pnt2d& P, const gp_Dir2d& Vx, const gp_Dir2d& Vy); //! Creates - a coordinate system with origin P and "X Direction" //! V, which is: //! - right-handed if Sense is true (default value), or //! - left-handed if Sense is false gp_Ax22d(const gp_Pnt2d& P, const gp_Dir2d& V, const Standard_Boolean Sense = Standard_True); //! Creates - a coordinate system where its origin is the origin of //! A and its "X Direction" is the unit vector of A, which is: //! - right-handed if Sense is true (default value), or //! - left-handed if Sense is false. gp_Ax22d(const gp_Ax2d& A, const Standard_Boolean Sense = Standard_True); //! Assigns the origin and the two unit vectors of the //! coordinate system A1 to this coordinate system. void SetAxis (const gp_Ax22d& A1); //! Changes the XAxis and YAxis ("Location" point and "Direction") //! of . //! The "YDirection" is recomputed in the same sense as before. void SetXAxis (const gp_Ax2d& A1); //! Changes the XAxis and YAxis ("Location" point and "Direction") of . //! The "XDirection" is recomputed in the same sense as before. void SetYAxis (const gp_Ax2d& A1); //! Changes the "Location" point (origin) of . void SetLocation (const gp_Pnt2d& P); //! Assigns Vx to the "X Direction" of //! this coordinate system. The other unit vector of this //! coordinate system is recomputed, normal to Vx , //! without modifying the orientation (right-handed or //! left-handed) of this coordinate system. void SetXDirection (const gp_Dir2d& Vx); //! Assignsr Vy to the "Y Direction" of //! this coordinate system. The other unit vector of this //! coordinate system is recomputed, normal to Vy, //! without modifying the orientation (right-handed or //! left-handed) of this coordinate system. void SetYDirection (const gp_Dir2d& Vy); //! Returns an axis, for which //! - the origin is that of this coordinate system, and //! - the unit vector is either the "X Direction" of this coordinate system. //! Note: the result is the "X Axis" of this coordinate system. gp_Ax2d XAxis() const; //! Returns an axis, for which //! - the origin is that of this coordinate system, and //! - the unit vector is either the "Y Direction" of this coordinate system. //! Note: the result is the "Y Axis" of this coordinate system. gp_Ax2d YAxis() const; //! Returns the "Location" point (origin) of . const gp_Pnt2d& Location() const; //! Returns the "XDirection" of . const gp_Dir2d& XDirection() const; //! Returns the "YDirection" of . const gp_Dir2d& YDirection() const; Standard_EXPORT void Mirror (const gp_Pnt2d& P); //! Performs the symmetrical transformation of an axis //! placement with respect to the point P which is the //! center of the symmetry. //! Warnings : //! The main direction of the axis placement is not changed. //! The "XDirection" and the "YDirection" are reversed. //! So the axis placement stay right handed. Standard_NODISCARD Standard_EXPORT gp_Ax22d Mirrored (const gp_Pnt2d& P) const; Standard_EXPORT void Mirror (const gp_Ax2d& A); //! Performs the symmetrical transformation of an axis //! placement with respect to an axis placement which //! is the axis of the symmetry. //! The transformation is performed on the "Location" //! point, on the "XDirection" and "YDirection". //! The resulting main "Direction" is the cross product between //! the "XDirection" and the "YDirection" after transformation. Standard_NODISCARD Standard_EXPORT gp_Ax22d Mirrored (const gp_Ax2d& A) const; void Rotate (const gp_Pnt2d& P, const Standard_Real Ang); //! Rotates an axis placement. is the axis of the //! rotation . Ang is the angular value of the rotation //! in radians. Standard_NODISCARD gp_Ax22d Rotated (const gp_Pnt2d& P, const Standard_Real Ang) const; void Scale (const gp_Pnt2d& P, const Standard_Real S); //! Applies a scaling transformation on the axis placement. //! The "Location" point of the axisplacement is modified. //! Warnings : //! If the scale is negative : //! . the main direction of the axis placement is not changed. //! . The "XDirection" and the "YDirection" are reversed. //! So the axis placement stay right handed. Standard_NODISCARD gp_Ax22d Scaled (const gp_Pnt2d& P, const Standard_Real S) const; void Transform (const gp_Trsf2d& T); //! Transforms an axis placement with a Trsf. //! The "Location" point, the "XDirection" and the //! "YDirection" are transformed with T. The resulting //! main "Direction" of is the cross product between //! the "XDirection" and the "YDirection" after transformation. Standard_NODISCARD gp_Ax22d Transformed (const gp_Trsf2d& T) const; void Translate (const gp_Vec2d& V); //! Translates an axis plaxement in the direction of the vector //! . The magnitude of the translation is the vector's magnitude. Standard_NODISCARD gp_Ax22d Translated (const gp_Vec2d& V) const; void Translate (const gp_Pnt2d& P1, const gp_Pnt2d& P2); //! Translates an axis placement from the point to the //! point . Standard_NODISCARD gp_Ax22d Translated (const gp_Pnt2d& P1, const gp_Pnt2d& P2) const; protected: private: gp_Pnt2d point; gp_Dir2d vydir; gp_Dir2d vxdir; }; #include #endif // _gp_Ax22d_HeaderFile