// 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_Ax2d_HeaderFile #define _gp_Ax2d_HeaderFile #include #include #include #include #include #include #include class gp_Pnt2d; class gp_Dir2d; class gp_Trsf2d; class gp_Vec2d; //! Describes an axis in the plane (2D space). //! An axis is defined by: //! - its origin (also referred to as its "Location point"), and //! - its unit vector (referred to as its "Direction"). //! An axis implicitly defines a direct, right-handed //! coordinate system in 2D space by: //! - its origin, //! - its "Direction" (giving the "X Direction" of the coordinate system), and //! - the unit vector normal to "Direction" (positive angle //! measured in the trigonometric sense). //! An axis is used: //! - to describe 2D geometric entities (for example, the //! axis which defines angular coordinates on a circle). //! It serves for the same purpose as the STEP function //! "axis placement one axis", or //! - to define geometric transformations (axis of //! symmetry, axis of rotation, and so on). //! Note: to define a left-handed 2D coordinate system, use gp_Ax22d. class gp_Ax2d { public: DEFINE_STANDARD_ALLOC //! Creates an axis object representing X axis of //! the reference co-ordinate system. gp_Ax2d(); //! Creates an Ax2d.

is the "Location" point of //! the axis placement and V is the "Direction" of //! the axis placement. gp_Ax2d(const gp_Pnt2d& P, const gp_Dir2d& V); //! Changes the "Location" point (origin) of . void SetLocation (const gp_Pnt2d& Locat); //! Changes the direction of . void SetDirection (const gp_Dir2d& V); //! Returns the origin of . const gp_Pnt2d& Location() const; //! Returns the direction of . const gp_Dir2d& Direction() const; //! Returns True if : //! . the angle between and is lower or equal //! to and //! . the distance between .Location() and is lower //! or equal to and //! . the distance between .Location() and is lower //! or equal to LinearTolerance. Standard_EXPORT Standard_Boolean IsCoaxial (const gp_Ax2d& Other, const Standard_Real AngularTolerance, const Standard_Real LinearTolerance) const; //! Returns true if this axis and the axis Other are normal to //! each other. That is, if the angle between the two axes is equal to Pi/2 or -Pi/2. //! Note: the tolerance criterion is given by AngularTolerance. Standard_Boolean IsNormal (const gp_Ax2d& Other, const Standard_Real AngularTolerance) const; //! Returns true if this axis and the axis Other are parallel, //! and have opposite orientations. That is, if the angle //! between the two axes is equal to Pi or -Pi. //! Note: the tolerance criterion is given by AngularTolerance. Standard_Boolean IsOpposite (const gp_Ax2d& Other, const Standard_Real AngularTolerance) const; //! Returns true if this axis and the axis Other are parallel, //! and have either the same or opposite orientations. That //! is, if the angle between the two axes is equal to 0, Pi or -Pi. //! Note: the tolerance criterion is given by AngularTolerance. Standard_Boolean IsParallel (const gp_Ax2d& Other, const Standard_Real AngularTolerance) const; //! Computes the angle, in radians, between this axis and //! the axis Other. The value of the angle is between -Pi and Pi. Standard_Real Angle (const gp_Ax2d& Other) const; //! Reverses the direction of and assigns the result to this axis. void Reverse(); //! Computes a new axis placement with a direction opposite to //! the direction of . Standard_NODISCARD gp_Ax2d Reversed() 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. Standard_NODISCARD Standard_EXPORT gp_Ax2d 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. Standard_NODISCARD Standard_EXPORT gp_Ax2d Mirrored (const gp_Ax2d& A) const; void Rotate (const gp_Pnt2d& P, const Standard_Real Ang); //! Rotates an axis placement.

is the center of the //! rotation . Ang is the angular value of the rotation //! in radians. Standard_NODISCARD gp_Ax2d Rotated (const gp_Pnt2d& P, const Standard_Real Ang) const; Standard_EXPORT 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. //! The "Direction" is reversed if the scale is negative. Standard_NODISCARD gp_Ax2d Scaled (const gp_Pnt2d& P, const Standard_Real S) const; void Transform (const gp_Trsf2d& T); //! Transforms an axis placement with a Trsf. Standard_NODISCARD gp_Ax2d Transformed (const gp_Trsf2d& T) const; void Translate (const gp_Vec2d& V); //! Translates an axis placement in the direction of the vector //! . The magnitude of the translation is the vector's magnitude. Standard_NODISCARD gp_Ax2d 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_Ax2d Translated (const gp_Pnt2d& P1, const gp_Pnt2d& P2) const; //! Dumps the content of me into the stream Standard_EXPORT void DumpJson (Standard_OStream& theOStream, Standard_Integer theDepth = -1) const; protected: private: gp_Pnt2d loc; gp_Dir2d vdir; }; #include #endif // _gp_Ax2d_HeaderFile