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 // 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_Circ2d_HeaderFile
 #define _gp_Circ2d_HeaderFile
 
 #include <gp_Ax22d.hxx>
 #include <gp_Ax2d.hxx>
 #include <gp_Pnt2d.hxx>
 #include <gp_Trsf2d.hxx>
 #include <gp_Vec2d.hxx>
 #include <Standard_ConstructionError.hxx>
 
 //! Describes a circle in the plane (2D space).
 //! A circle is defined by its radius and positioned in the
 //! plane with a coordinate system (a gp_Ax22d object) as follows:
 //! -   the origin of the coordinate system is the center of the circle, and
 //! -   the orientation (direct or indirect) of the coordinate
 //! system gives an implicit orientation to the circle (and
 //! defines its trigonometric sense).
 //! This positioning coordinate system is the "local
 //! coordinate system" of the circle.
 //! Note: when a gp_Circ2d circle is converted into a
 //! Geom2d_Circle circle, some implicit properties of the
 //! circle are used explicitly:
 //! -   the implicit orientation corresponds to the direction in
 //! which parameter values increase,
 //! -   the starting point for parameterization is that of the "X
 //! Axis" of the local coordinate system (i.e. the "X Axis" of the circle).
 //! See Also
 //! GccAna and Geom2dGcc packages which provide
 //! functions for constructing circles defined by geometric constraints
 //! gce_MakeCirc2d which provides functions for more
 //! complex circle constructions
 //! Geom2d_Circle which provides additional functions for
 //! constructing circles and works, with the parametric
 //! equations of circles in particular gp_Ax22d
 class gp_Circ2d
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! creates an indefinite circle.
   constexpr gp_Circ2d() noexcept
       : radius(RealLast())
   {
   }
 
   //! The location point of theXAxis is the center of the circle.
   //! Warnings:
   //! It is not forbidden to create a circle with theRadius = 0.0
   //! Raises ConstructionError if theRadius < 0.0.
   constexpr gp_Circ2d(const gp_Ax2d& theXAxis, const double theRadius, const bool theIsSense = true)
       : pos(theXAxis, theIsSense),
         radius(theRadius)
   {
     Standard_ConstructionError_Raise_if(theRadius < 0.0,
                                         "gp_Circ2d() - radius should be positive number");
   }
 
   //! theAxis defines the Xaxis and Yaxis of the circle which defines
   //! the origin and the sense of parametrization.
   //! The location point of theAxis is the center of the circle.
   //! Warnings:
   //! It is not forbidden to create a circle with theRadius = 0.0
   //! Raises ConstructionError if theRadius < 0.0.
   constexpr gp_Circ2d(const gp_Ax22d& theAxis, const double theRadius)
       : pos(theAxis),
         radius(theRadius)
   {
     Standard_ConstructionError_Raise_if(theRadius < 0.0,
                                         "gp_Circ2d() - radius should be positive number");
   }
 
   //! Changes the location point (center) of the circle.
   constexpr void SetLocation(const gp_Pnt2d& theP) noexcept { pos.SetLocation(theP); }
 
   //! Changes the X axis of the circle.
   constexpr void SetXAxis(const gp_Ax2d& theA) { pos.SetXAxis(theA); }
 
   //! Changes the X axis of the circle.
   constexpr void SetAxis(const gp_Ax22d& theA) noexcept { pos.SetAxis(theA); }
 
   //! Changes the Y axis of the circle.
   constexpr void SetYAxis(const gp_Ax2d& theA) { pos.SetYAxis(theA); }
 
   //! Modifies the radius of this circle.
   //! This class does not prevent the creation of a circle where
   //! theRadius is null.
   //! Exceptions
   //! Standard_ConstructionError if theRadius is negative.
   void SetRadius(const double theRadius)
   {
     Standard_ConstructionError_Raise_if(
       theRadius < 0.0,
       "gp_Circ2d::SetRadius() - radius should be positive number");
     radius = theRadius;
   }
 
   //! Computes the area of the circle.
   constexpr double Area() const noexcept { return M_PI * radius * radius; }
 
   //! Returns the normalized coefficients from the implicit equation
   //! of the circle :
   //! theA * (X**2) + theB * (Y**2) + 2*theC*(X*Y) + 2*theD*X + 2*theE*Y + theF = 0.0
   constexpr void Coefficients(double& theA,
                               double& theB,
                               double& theC,
                               double& theD,
                               double& theE,
                               double& theF) const noexcept;
 
   //! Does <me> contain theP ?
   //! Returns True if the distance between theP and any point on
   //! the circumference of the circle is lower of equal to
   //! <theLinearTolerance>.
   bool Contains(const gp_Pnt2d& theP, const double theLinearTolerance) const noexcept
   {
     return Distance(theP) <= theLinearTolerance;
   }
 
   //! Computes the minimum of distance between the point theP and any
   //! point on the circumference of the circle.
   double Distance(const gp_Pnt2d& theP) const noexcept;
 
   //! Computes the square distance between <me> and the point theP.
   double SquareDistance(const gp_Pnt2d& theP) const noexcept;
 
   //! computes the circumference of the circle.
   constexpr double Length() const noexcept { return 2. * M_PI * radius; }
 
   //! Returns the location point (center) of the circle.
   constexpr const gp_Pnt2d& Location() const noexcept { return pos.Location(); }
 
   //! Returns the radius value of the circle.
   constexpr double Radius() const noexcept { return radius; }
 
   //! returns the position of the circle.
   constexpr const gp_Ax22d& Axis() const noexcept { return pos; }
 
   //! returns the position of the circle. Idem Axis(me).
   constexpr const gp_Ax22d& Position() const noexcept { return pos; }
 
   //! returns the X axis of the circle.
   gp_Ax2d XAxis() const noexcept { return gp_Ax2d(pos.XAxis()); }
 
   //! Returns the Y axis of the circle.
   //! Reverses the direction of the circle.
   gp_Ax2d YAxis() const noexcept { return gp_Ax2d(pos.YAxis()); }
 
   //! Reverses the orientation of the local coordinate system
   //! of this circle (the "Y Direction" is reversed) and therefore
   //! changes the implicit orientation of this circle.
   //! Reverse assigns the result to this circle,
   void Reverse() noexcept
   {
     gp_Dir2d aTemp = pos.YDirection();
     aTemp.Reverse();
     pos.SetAxis(gp_Ax22d(pos.Location(), pos.XDirection(), aTemp));
   }
 
   //! Reverses the orientation of the local coordinate system
   //! of this circle (the "Y Direction" is reversed) and therefore
   //! changes the implicit orientation of this circle.
   //! Reversed creates a new circle.
   [[nodiscard]] gp_Circ2d Reversed() const noexcept;
 
   //! Returns true if the local coordinate system is direct
   //! and false in the other case.
   constexpr bool IsDirect() const noexcept
   {
     return (pos.XDirection().Crossed(pos.YDirection())) >= 0.0;
   }
 
   Standard_EXPORT void Mirror(const gp_Pnt2d& theP) noexcept;
 
   //! Performs the symmetrical transformation of a circle with respect
   //! to the point theP which is the center of the symmetry
   [[nodiscard]] Standard_EXPORT gp_Circ2d Mirrored(const gp_Pnt2d& theP) const noexcept;
 
   Standard_EXPORT void Mirror(const gp_Ax2d& theA) noexcept;
 
   //! Performs the symmetrical transformation of a circle with respect
   //! to an axis placement which is the axis of the symmetry.
   [[nodiscard]] Standard_EXPORT gp_Circ2d Mirrored(const gp_Ax2d& theA) const noexcept;
 
   void Rotate(const gp_Pnt2d& theP, const double theAng) { pos.Rotate(theP, theAng); }
 
   //! Rotates a circle. theP is the center of the rotation.
   //! Ang is the angular value of the rotation in radians.
   [[nodiscard]] gp_Circ2d Rotated(const gp_Pnt2d& theP, const double theAng) const
   {
     gp_Circ2d aCirc = *this;
     aCirc.pos.Rotate(theP, theAng);
     return aCirc;
   }
 
   void Scale(const gp_Pnt2d& theP, const double theS);
 
   //! Scales a circle. theS is the scaling value.
   //! Warnings:
   //! If theS is negative the radius stay positive but
   //! the "XAxis" and the "YAxis" are reversed as for
   //! an ellipse.
   [[nodiscard]] gp_Circ2d Scaled(const gp_Pnt2d& theP, const double theS) const;
 
   void Transform(const gp_Trsf2d& theT);
 
   //! Transforms a circle with the transformation theT from class Trsf2d.
   [[nodiscard]] gp_Circ2d Transformed(const gp_Trsf2d& theT) const;
 
   constexpr void Translate(const gp_Vec2d& theV) noexcept { pos.Translate(theV); }
 
   //! Translates a circle in the direction of the vector theV.
   //! The magnitude of the translation is the vector's magnitude.
   [[nodiscard]] constexpr gp_Circ2d Translated(const gp_Vec2d& theV) const noexcept
   {
     gp_Circ2d aCirc = *this;
     aCirc.pos.Translate(theV);
     return aCirc;
   }
 
   constexpr void Translate(const gp_Pnt2d& theP1, const gp_Pnt2d& theP2) noexcept
   {
     pos.Translate(theP1, theP2);
   }
 
   //! Translates a circle from the point theP1 to the point theP2.
   [[nodiscard]] constexpr gp_Circ2d Translated(const gp_Pnt2d& theP1,
                                                const gp_Pnt2d& theP2) const noexcept
   {
     gp_Circ2d aCirc = *this;
     aCirc.pos.Translate(theP1, theP2);
     return aCirc;
   }
 
 private:
   gp_Ax22d pos;
   double   radius;
 };
 
 //=================================================================================================
 
 constexpr inline void gp_Circ2d::Coefficients(double& theA,
                                               double& theB,
                                               double& theC,
                                               double& theD,
                                               double& theE,
                                               double& theF) const noexcept
 {
   double aXc  = pos.Location().X();
   double anYc = pos.Location().Y();
   theA        = 1.0;
   theB        = 1.0;
   theC        = 0.0;
   theD        = -aXc;
   theE        = -anYc;
   theF        = aXc * aXc + anYc * anYc - radius * radius;
 }
 
 //=================================================================================================
 
 inline double gp_Circ2d::Distance(const gp_Pnt2d& theP) const noexcept
 {
   gp_XY aCoord = theP.XY();
   aCoord.Subtract(pos.Location().XY());
   double aD = radius - aCoord.Modulus();
   if (aD < 0)
   {
     aD = -aD;
   }
   return aD;
 }
 
 //=================================================================================================
 
 inline gp_Circ2d gp_Circ2d::Reversed() const noexcept
 {
   gp_Circ2d aCirc = *this;
   gp_Dir2d  aTemp = pos.YDirection();
   aTemp.Reverse();
   aCirc.pos.SetAxis(gp_Ax22d(pos.Location(), pos.XDirection(), aTemp));
   return aCirc;
 }
 
 //=================================================================================================
 
 inline double gp_Circ2d::SquareDistance(const gp_Pnt2d& theP) const noexcept
 {
   gp_XY aCoord = theP.XY();
   aCoord.Subtract(pos.Location().XY());
   double aD = radius - aCoord.Modulus();
   return aD * aD;
 }
 
 //=================================================================================================
 
 inline void gp_Circ2d::Scale(const gp_Pnt2d& theP, const double theS)
 {
   radius *= theS;
   if (radius < 0)
   {
     radius = -radius;
   }
   pos.Scale(theP, theS);
 }
 
 //=================================================================================================
 
 inline gp_Circ2d gp_Circ2d::Scaled(const gp_Pnt2d& theP, const double theS) const
 {
   gp_Circ2d aCirc = *this;
   aCirc.radius *= theS;
   if (aCirc.radius < 0)
   {
     aCirc.radius = -aCirc.radius;
   }
   aCirc.pos.Scale(theP, theS);
   return aCirc;
 }
 
 //=================================================================================================
 
 inline void gp_Circ2d::Transform(const gp_Trsf2d& theT)
 {
   radius *= theT.ScaleFactor();
   if (radius < 0)
   {
     radius = -radius;
   }
   pos.Transform(theT);
 }
 
 //=================================================================================================
 
 inline gp_Circ2d gp_Circ2d::Transformed(const gp_Trsf2d& theT) const
 {
   gp_Circ2d aCirc = *this;
   aCirc.radius *= theT.ScaleFactor();
   if (aCirc.radius < 0)
   {
     aCirc.radius = -aCirc.radius;
   }
   aCirc.pos.Transform(theT);
   return aCirc;
 }
 
 #endif // _gp_Circ2d_HeaderFile

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