// 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_Lin2d_HeaderFile #define _gp_Lin2d_HeaderFile #include "gp_Ax2d.hxx" //! Describes a line in 2D space. //! A line is positioned in the plane with an axis (a gp_Ax2d //! object) which gives the line its origin and unit vector. A //! line and an axis are similar objects, thus, we can convert //! one into the other. //! A line provides direct access to the majority of the edit //! and query functions available on its positioning axis. In //! addition, however, a line has specific functions for //! computing distances and positions. //! See Also //! GccAna and Geom2dGcc packages which provide //! functions for constructing lines defined by geometric //! constraints //! gce_MakeLin2d which provides functions for more //! complex line constructions //! Geom2d_Line which provides additional functions for //! constructing lines and works, in particular, with the //! parametric equations of lines class gp_Lin2d { public: DEFINE_STANDARD_ALLOC //! Creates a Line corresponding to X axis of the //! reference coordinate system. constexpr gp_Lin2d() noexcept = default; //! Creates a line located with theA. constexpr gp_Lin2d(const gp_Ax2d& theA) noexcept : pos(theA) { } //! is the location point (origin) of the line and //! is the direction of the line. constexpr gp_Lin2d(const gp_Pnt2d& theP, const gp_Dir2d& theV) noexcept : pos(theP, theV) { } //! Creates the line from the equation theA*X + theB*Y + theC = 0.0 Raises ConstructionError if //! std::sqrt(theA*theA + theB*theB) <= Resolution from gp. Raised if std::sqrt(theA*theA + //! theB*theB) <= Resolution from gp. Standard_EXPORT gp_Lin2d(const double theA, const double theB, const double theC); constexpr void Reverse() noexcept { pos.Reverse(); } //! Reverses the positioning axis of this line. //! Note: //! - Reverse assigns the result to this line, while //! - Reversed creates a new one. [[nodiscard]] constexpr gp_Lin2d Reversed() const noexcept { gp_Lin2d aL = *this; aL.pos.Reverse(); return aL; } //! Changes the direction of the line. constexpr void SetDirection(const gp_Dir2d& theV) noexcept { pos.SetDirection(theV); } //! Changes the origin of the line. constexpr void SetLocation(const gp_Pnt2d& theP) noexcept { pos.SetLocation(theP); } //! Complete redefinition of the line. //! The "Location" point of is the origin of the line. //! The "Direction" of is the direction of the line. constexpr void SetPosition(const gp_Ax2d& theA) noexcept { pos = theA; } //! Returns the normalized coefficients of the line : //! theA * X + theB * Y + theC = 0. constexpr void Coefficients(double& theA, double& theB, double& theC) const noexcept { theA = pos.Direction().Y(); theB = -pos.Direction().X(); theC = -(theA * pos.Location().X() + theB * pos.Location().Y()); } //! Returns the direction of the line. constexpr const gp_Dir2d& Direction() const noexcept { return pos.Direction(); } //! Returns the location point (origin) of the line. constexpr const gp_Pnt2d& Location() const noexcept { return pos.Location(); } //! Returns the axis placement one axis with the same //! location and direction as . constexpr const gp_Ax2d& Position() const noexcept { return pos; } //! Computes the angle between two lines in radians. double Angle(const gp_Lin2d& theOther) const { return pos.Direction().Angle(theOther.pos.Direction()); } //! Returns true if this line contains the point theP, that is, if the //! distance between point theP and this line is less than or //! equal to theLinearTolerance. bool Contains(const gp_Pnt2d& theP, const double theLinearTolerance) const noexcept { return Distance(theP) <= theLinearTolerance; } //! Computes the distance between and the point . double Distance(const gp_Pnt2d& theP) const noexcept; //! Computes the distance between two lines. double Distance(const gp_Lin2d& theOther) const noexcept; //! Computes the square distance between and the point //! . constexpr double SquareDistance(const gp_Pnt2d& theP) const noexcept; //! Computes the square distance between two lines. double SquareDistance(const gp_Lin2d& theOther) const noexcept; //! Computes the line normal to the direction of , //! passing through the point . gp_Lin2d Normal(const gp_Pnt2d& theP) const noexcept { return gp_Lin2d(gp_Ax2d(theP, gp_Dir2d(-(pos.Direction().Y()), pos.Direction().X()))); } Standard_EXPORT void Mirror(const gp_Pnt2d& theP) noexcept; //! Performs the symmetrical transformation of a line //! with respect to the point which is the center //! of the symmetry [[nodiscard]] Standard_EXPORT gp_Lin2d Mirrored(const gp_Pnt2d& theP) const noexcept; Standard_EXPORT void Mirror(const gp_Ax2d& theA) noexcept; //! Performs the symmetrical transformation of a line //! with respect to an axis placement which is the axis //! of the symmetry. [[nodiscard]] Standard_EXPORT gp_Lin2d Mirrored(const gp_Ax2d& theA) const noexcept; void Rotate(const gp_Pnt2d& theP, const double theAng) { pos.Rotate(theP, theAng); } //! Rotates a line. theP is the center of the rotation. //! theAng is the angular value of the rotation in radians. [[nodiscard]] gp_Lin2d Rotated(const gp_Pnt2d& theP, const double theAng) const { gp_Lin2d aL = *this; aL.pos.Rotate(theP, theAng); return aL; } void Scale(const gp_Pnt2d& theP, const double theS) { pos.Scale(theP, theS); } //! Scales a line. theS is the scaling value. Only the //! origin of the line is modified. [[nodiscard]] gp_Lin2d Scaled(const gp_Pnt2d& theP, const double theS) const { gp_Lin2d aL = *this; aL.pos.Scale(theP, theS); return aL; } void Transform(const gp_Trsf2d& theT) noexcept { pos.Transform(theT); } //! Transforms a line with the transformation theT from class Trsf2d. [[nodiscard]] gp_Lin2d Transformed(const gp_Trsf2d& theT) const noexcept { gp_Lin2d aL = *this; aL.pos.Transform(theT); return aL; } constexpr void Translate(const gp_Vec2d& theV) noexcept { pos.Translate(theV); } //! Translates a line in the direction of the vector theV. //! The magnitude of the translation is the vector's magnitude. [[nodiscard]] constexpr gp_Lin2d Translated(const gp_Vec2d& theV) const noexcept { gp_Lin2d aL = *this; aL.pos.Translate(theV); return aL; } constexpr void Translate(const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) noexcept { pos.Translate(theP1, theP2); } //! Translates a line from the point theP1 to the point theP2. [[nodiscard]] constexpr gp_Lin2d Translated(const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) const noexcept { gp_Lin2d aL = *this; aL.pos.Translate(gp_Vec2d(theP1, theP2)); return aL; } private: gp_Ax2d pos; }; //================================================================================================= inline double gp_Lin2d::Distance(const gp_Pnt2d& theP) const noexcept { gp_XY aCoord = theP.XY(); aCoord.Subtract((pos.Location()).XY()); return std::abs(aCoord.Crossed(pos.Direction().XY())); } //================================================================================================= inline double gp_Lin2d::Distance(const gp_Lin2d& theOther) const noexcept { double aD = 0.0; if (pos.IsParallel(theOther.pos, gp::Resolution())) { aD = theOther.Distance(pos.Location()); } return aD; } //================================================================================================= inline constexpr double gp_Lin2d::SquareDistance(const gp_Pnt2d& theP) const noexcept { gp_XY aCoord = theP.XY(); aCoord.Subtract((pos.Location()).XY()); double aD = aCoord.Crossed(pos.Direction().XY()); return aD * aD; } //================================================================================================= inline double gp_Lin2d::SquareDistance(const gp_Lin2d& theOther) const noexcept { double aD = 0.0; if (pos.IsParallel(theOther.pos, gp::Resolution())) { aD = theOther.SquareDistance(pos.Location()); } return aD; } #endif // _gp_Lin2d_HeaderFile