// 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 "gp_Pnt2d.hxx" #include "gp_Dir2d.hxx" 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 coordinate system. constexpr gp_Ax2d() noexcept : loc(0., 0.) // vdir(1.,0.) use default ctor of gp_Dir2d, as it creates the same dir (1,0) { } //! Creates an Ax2d. //! is the "Location" point of the axis placement //! and theV is the "Direction" of the axis placement. constexpr gp_Ax2d(const gp_Pnt2d& theP, const gp_Dir2d& theV) noexcept : loc(theP), vdir(theV) { } //! Creates an axis with the given location point and standard direction. constexpr gp_Ax2d(const gp_Pnt2d& theP, const gp_Dir2d::D theDir) noexcept : loc(theP), vdir(theDir) { } //! Creates an axis at the origin with the given standard direction. //! Replaces gp::OX2d(), gp::OY2d() static functions. constexpr explicit gp_Ax2d(const gp_Dir2d::D theDir) noexcept : loc(0., 0.), vdir(theDir) { } //! Changes the "Location" point (origin) of . constexpr void SetLocation(const gp_Pnt2d& theP) noexcept { loc = theP; } //! Changes the direction of . constexpr void SetDirection(const gp_Dir2d& theV) noexcept { vdir = theV; } //! Returns the origin of . constexpr const gp_Pnt2d& Location() const noexcept { return loc; } //! Returns the direction of . constexpr const gp_Dir2d& Direction() const noexcept { return vdir; } //! 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 bool IsCoaxial(const gp_Ax2d& Other, const double AngularTolerance, const double LinearTolerance) const; //! Returns true if this axis and the axis theOther 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 theAngularTolerance. bool IsNormal(const gp_Ax2d& theOther, const double theAngularTolerance) const { return vdir.IsNormal(theOther.vdir, theAngularTolerance); } //! Returns true if this axis and the axis theOther 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 theAngularTolerance. bool IsOpposite(const gp_Ax2d& theOther, const double theAngularTolerance) const { return vdir.IsOpposite(theOther.vdir, theAngularTolerance); } //! Returns true if this axis and the axis theOther 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 theAngularTolerance. bool IsParallel(const gp_Ax2d& theOther, const double theAngularTolerance) const { return vdir.IsParallel(theOther.vdir, theAngularTolerance); } //! Computes the angle, in radians, between this axis and the axis theOther. //! The value of the angle is between -Pi and Pi. double Angle(const gp_Ax2d& theOther) const { return vdir.Angle(theOther.vdir); } //! Reverses the direction of and assigns the result to this axis. constexpr void Reverse() noexcept { vdir.Reverse(); } //! Computes a new axis placement with a direction opposite to the direction of . [[nodiscard]] constexpr gp_Ax2d Reversed() const noexcept { gp_Ax2d aTemp = *this; aTemp.Reverse(); return aTemp; } Standard_EXPORT void Mirror(const gp_Pnt2d& P) noexcept; //! Performs the symmetrical transformation of an axis //! placement with respect to the point P which is the //! center of the symmetry. [[nodiscard]] Standard_EXPORT gp_Ax2d Mirrored(const gp_Pnt2d& P) const noexcept; Standard_EXPORT void Mirror(const gp_Ax2d& A) noexcept; //! Performs the symmetrical transformation of an axis //! placement with respect to an axis placement which //! is the axis of the symmetry. [[nodiscard]] Standard_EXPORT gp_Ax2d Mirrored(const gp_Ax2d& A) const noexcept; void Rotate(const gp_Pnt2d& theP, const double theAng) { loc.Rotate(theP, theAng); vdir.Rotate(theAng); } //! Rotates an axis placement. is the center of the rotation. //! theAng is the angular value of the rotation in radians. [[nodiscard]] gp_Ax2d Rotated(const gp_Pnt2d& theP, const double theAng) const { gp_Ax2d anA = *this; anA.Rotate(theP, theAng); return anA; } Standard_EXPORT void Scale(const gp_Pnt2d& P, const double 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. [[nodiscard]] gp_Ax2d Scaled(const gp_Pnt2d& theP, const double theS) const { gp_Ax2d anA = *this; anA.Scale(theP, theS); return anA; } void Transform(const gp_Trsf2d& theT) { loc.Transform(theT); vdir.Transform(theT); } //! Transforms an axis placement with a Trsf. [[nodiscard]] gp_Ax2d Transformed(const gp_Trsf2d& theT) const { gp_Ax2d anA = *this; anA.Transform(theT); return anA; } constexpr void Translate(const gp_Vec2d& theV) noexcept { loc.Translate(theV); } //! Translates an axis placement in the direction of the vector theV. //! The magnitude of the translation is the vector's magnitude. [[nodiscard]] constexpr gp_Ax2d Translated(const gp_Vec2d& theV) const noexcept { gp_Ax2d anA = *this; (anA.loc).Translate(theV); return anA; } constexpr void Translate(const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) noexcept { loc.Translate(theP1, theP2); } //! Translates an axis placement from the point theP1 to the point theP2. [[nodiscard]] constexpr gp_Ax2d Translated(const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) const noexcept { gp_Ax2d anA = *this; (anA.loc).Translate(theP1, theP2); return anA; } //! Dumps the content of me into the stream Standard_EXPORT void DumpJson(Standard_OStream& theOStream, int theDepth = -1) const; private: gp_Pnt2d loc; gp_Dir2d vdir; }; #endif // _gp_Ax2d_HeaderFile