// 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 //! 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. gp_Lin2d() {} //! Creates a line located with theA. gp_Lin2d (const gp_Ax2d& theA) : pos (theA) {} //! is the location point (origin) of the line and //! is the direction of the line. gp_Lin2d (const gp_Pnt2d& theP, const gp_Dir2d& theV) : pos (theP, theV) {} //! Creates the line from the equation theA*X + theB*Y + theC = 0.0 Raises ConstructionError if Sqrt(theA*theA + theB*theB) <= Resolution from gp. //! Raised if Sqrt(theA*theA + theB*theB) <= Resolution from gp. Standard_EXPORT gp_Lin2d (const Standard_Real theA, const Standard_Real theB, const Standard_Real theC); void Reverse() { pos.Reverse(); } //! Reverses the positioning axis of this line. //! Note: //! - Reverse assigns the result to this line, while //! - Reversed creates a new one. Standard_NODISCARD gp_Lin2d Reversed() const { gp_Lin2d aL = *this; aL.pos.Reverse(); return aL; } //! Changes the direction of the line. void SetDirection (const gp_Dir2d& theV) { pos.SetDirection (theV); } //! Changes the origin of the line. void SetLocation (const gp_Pnt2d& theP) { 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. void SetPosition (const gp_Ax2d& theA) { pos = theA; } //! Returns the normalized coefficients of the line : //! theA * X + theB * Y + theC = 0. void Coefficients (Standard_Real& theA, Standard_Real& theB, Standard_Real& theC) const { theA = pos.Direction().Y(); theB = -pos.Direction().X(); theC = -(theA * pos.Location().X() + theB * pos.Location().Y()); } //! Returns the direction of the line. const gp_Dir2d& Direction() const { return pos.Direction(); } //! Returns the location point (origin) of the line. const gp_Pnt2d& Location() const { return pos.Location(); } //! Returns the axis placement one axis with the same //! location and direction as . const gp_Ax2d& Position() const { return pos; } //! Computes the angle between two lines in radians. Standard_Real 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. Standard_Boolean Contains (const gp_Pnt2d& theP, const Standard_Real theLinearTolerance) const { return Distance (theP) <= theLinearTolerance; } //! Computes the distance between and the point . Standard_Real Distance (const gp_Pnt2d& theP) const; //! Computes the distance between two lines. Standard_Real Distance (const gp_Lin2d& theOther) const; //! Computes the square distance between and the point //! . Standard_Real SquareDistance (const gp_Pnt2d& theP) const; //! Computes the square distance between two lines. Standard_Real SquareDistance (const gp_Lin2d& theOther) const; //! Computes the line normal to the direction of , //! passing through the point . gp_Lin2d Normal (const gp_Pnt2d& theP) const { return gp_Lin2d (gp_Ax2d (theP, gp_Dir2d (-(pos.Direction().Y()), pos.Direction().X()))); } Standard_EXPORT void Mirror (const gp_Pnt2d& theP); //! Performs the symmetrical transformation of a line //! with respect to the point which is the center //! of the symmetry Standard_NODISCARD Standard_EXPORT gp_Lin2d Mirrored (const gp_Pnt2d& theP) const; Standard_EXPORT void Mirror (const gp_Ax2d& theA); //! Performs the symmetrical transformation of a line //! with respect to an axis placement which is the axis //! of the symmetry. Standard_NODISCARD Standard_EXPORT gp_Lin2d Mirrored (const gp_Ax2d& theA) const; void Rotate (const gp_Pnt2d& theP, const Standard_Real 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. Standard_NODISCARD gp_Lin2d Rotated (const gp_Pnt2d& theP, const Standard_Real theAng) const { gp_Lin2d aL = *this; aL.pos.Rotate (theP, theAng); return aL; } void Scale (const gp_Pnt2d& theP, const Standard_Real theS) { pos.Scale (theP, theS); } //! Scales a line. theS is the scaling value. Only the //! origin of the line is modified. Standard_NODISCARD gp_Lin2d Scaled (const gp_Pnt2d& theP, const Standard_Real theS) const { gp_Lin2d aL = *this; aL.pos.Scale (theP, theS); return aL; } void Transform (const gp_Trsf2d& theT) { pos.Transform (theT); } //! Transforms a line with the transformation theT from class Trsf2d. Standard_NODISCARD gp_Lin2d Transformed (const gp_Trsf2d& theT) const { gp_Lin2d aL = *this; aL.pos.Transform (theT); return aL; } void Translate (const gp_Vec2d& theV) { pos.Translate (theV); } //! Translates a line in the direction of the vector theV. //! The magnitude of the translation is the vector's magnitude. Standard_NODISCARD gp_Lin2d Translated (const gp_Vec2d& theV) const { gp_Lin2d aL = *this; aL.pos.Translate (theV); return aL; } void Translate (const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) { pos.Translate (theP1, theP2); } //! Translates a line from the point theP1 to the point theP2. Standard_NODISCARD gp_Lin2d Translated (const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) const { gp_Lin2d aL = *this; aL.pos.Translate (gp_Vec2d (theP1, theP2)); return aL; } private: gp_Ax2d pos; }; //======================================================================= //function : Distance // purpose : //======================================================================= inline Standard_Real gp_Lin2d::Distance (const gp_Pnt2d& theP) const { gp_XY aCoord = theP.XY(); aCoord.Subtract ((pos.Location()).XY()); Standard_Real aVal = aCoord.Crossed (pos.Direction().XY()); if (aVal < 0) { aVal = -aVal; } return aVal; } //======================================================================= //function : Distance // purpose : //======================================================================= inline Standard_Real gp_Lin2d::Distance (const gp_Lin2d& theOther) const { Standard_Real aD = 0.0; if (pos.IsParallel (theOther.pos, gp::Resolution())) { aD = theOther.Distance (pos.Location()); } return aD; } //======================================================================= //function : SquareDistance // purpose : //======================================================================= inline Standard_Real gp_Lin2d::SquareDistance (const gp_Pnt2d& theP) const { gp_XY aCoord = theP.XY(); aCoord.Subtract ((pos.Location()).XY()); Standard_Real aD = aCoord.Crossed (pos.Direction().XY()); return aD * aD; } //======================================================================= //function : SquareDistance // purpose : //======================================================================= inline Standard_Real gp_Lin2d::SquareDistance (const gp_Lin2d& theOther) const { Standard_Real aD = 0.0; if (pos.IsParallel (theOther.pos, gp::Resolution())) { aD = theOther.SquareDistance (pos.Location()); } return aD; } #endif // _gp_Lin2d_HeaderFile