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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_Circ_HeaderFile
 #define _gp_Circ_HeaderFile
 
 #include <gp_Ax1.hxx>
 #include <gp_Ax2.hxx>
 #include <gp_Pnt.hxx>
 #include <gp_Trsf.hxx>
 #include <gp_Vec.hxx>
 #include <Standard_ConstructionError.hxx>
 
 //! Describes a circle in 3D space.
 //! A circle is defined by its radius and positioned in space
 //! with a coordinate system (a gp_Ax2 object) as follows:
 //! -   the origin of the coordinate system is the center of the circle, and
 //! -   the origin, "X Direction" and "Y Direction" of the
 //! coordinate system define the plane of the circle.
 //! This positioning coordinate system is the "local
 //! coordinate system" of the circle. Its "main Direction"
 //! gives the normal vector to the plane of the circle. The
 //! "main Axis" of the coordinate system is referred to as
 //! the "Axis" of the circle.
 //! Note: when a gp_Circ circle is converted into a
 //! Geom_Circle circle, some implicit properties of the
 //! circle are used explicitly:
 //! -   the "main Direction" of the local coordinate system
 //! gives an implicit orientation to the circle (and defines
 //! its trigonometric sense),
 //! -   this 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
 //! gce_MakeCirc which provides functions for more complex circle constructions
 //! Geom_Circle which provides additional functions for
 //! constructing circles and works, in particular, with the
 //! parametric equations of circles
 class gp_Circ
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! Creates an indefinite circle.
   constexpr gp_Circ() noexcept
       : radius(RealLast())
   {
   }
 
   //! A2 locates the circle and gives its orientation in 3D space.
   //! Warnings:
   //! It is not forbidden to create a circle with theRadius = 0.0
   //! Raises ConstructionError if theRadius < 0.0
   constexpr gp_Circ(const gp_Ax2& theA2, const double theRadius)
       : pos(theA2),
         radius(theRadius)
   {
     Standard_ConstructionError_Raise_if(theRadius < 0.0,
                                         "gp_Circ() - radius should be positive number");
   }
 
   //! Changes the main axis of the circle. It is the axis
   //! perpendicular to the plane of the circle.
   //! Raises ConstructionError if the direction of theA1
   //! is parallel to the "XAxis" of the circle.
   void SetAxis(const gp_Ax1& theA1) { pos.SetAxis(theA1); }
 
   //! Changes the "Location" point (center) of the circle.
   constexpr void SetLocation(const gp_Pnt& theP) noexcept { pos.SetLocation(theP); }
 
   //! Changes the position of the circle.
   constexpr void SetPosition(const gp_Ax2& theA2) noexcept { pos = theA2; }
 
   //! Modifies the radius of this circle.
   //! Warning: 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_Circ::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 main axis of the circle.
   //! It is the axis perpendicular to the plane of the circle,
   //! passing through the "Location" point (center) of the circle.
   constexpr const gp_Ax1& Axis() const noexcept { return pos.Axis(); }
 
   //! Computes the circumference of the circle.
   constexpr double Length() const noexcept { return 2. * M_PI * radius; }
 
   //! Returns the center of the circle. It is the
   //! "Location" point of the local coordinate system
   //! of the circle
   constexpr const gp_Pnt& Location() const noexcept { return pos.Location(); }
 
   //! Returns the position of the circle.
   //! It is the local coordinate system of the circle.
   constexpr const gp_Ax2& Position() const noexcept { return pos; }
 
   //! Returns the radius of this circle.
   constexpr double Radius() const noexcept { return radius; }
 
   //! Returns the "XAxis" of the circle.
   //! This axis is perpendicular to the axis of the conic.
   //! This axis and the "Yaxis" define the plane of the conic.
   constexpr gp_Ax1 XAxis() const noexcept { return gp_Ax1(pos.Location(), pos.XDirection()); }
 
   //! Returns the "YAxis" of the circle.
   //! This axis and the "Xaxis" define the plane of the conic.
   //! The "YAxis" is perpendicular to the "Xaxis".
   constexpr gp_Ax1 YAxis() const noexcept { return gp_Ax1(pos.Location(), pos.YDirection()); }
 
   //! Computes the minimum of distance between the point theP and
   //! any point on the circumference of the circle.
   double Distance(const gp_Pnt& theP) const noexcept { return sqrt(SquareDistance(theP)); }
 
   //! Computes the square distance between <me> and the point theP.
   double SquareDistance(const gp_Pnt& theP) const noexcept
   {
     gp_Vec aV(Location(), theP);
     double aX  = aV.Dot(pos.XDirection());
     double anY = aV.Dot(pos.YDirection());
     double aZ  = aV.Dot(pos.Direction());
     double aT  = sqrt(aX * aX + anY * anY) - radius;
     return (aT * aT + aZ * aZ);
   }
 
   //! Returns True if the point theP is on the circumference.
   //! The distance between <me> and <theP> must be lower or
   //! equal to theLinearTolerance.
   bool Contains(const gp_Pnt& theP, const double theLinearTolerance) const noexcept
   {
     return Distance(theP) <= theLinearTolerance;
   }
 
   Standard_EXPORT void Mirror(const gp_Pnt& 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_Circ Mirrored(const gp_Pnt& theP) const noexcept;
 
   Standard_EXPORT void Mirror(const gp_Ax1& theA1);
 
   //! Performs the symmetrical transformation of a circle with
   //! respect to an axis placement which is the axis of the
   //! symmetry.
   [[nodiscard]] Standard_EXPORT gp_Circ Mirrored(const gp_Ax1& theA1) const;
 
   Standard_EXPORT void Mirror(const gp_Ax2& theA2);
 
   //! Performs the symmetrical transformation of a circle with respect
   //! to a plane. The axis placement theA2 locates the plane of the
   //! of the symmetry : (Location, XDirection, YDirection).
   [[nodiscard]] Standard_EXPORT gp_Circ Mirrored(const gp_Ax2& theA2) const;
 
   void Rotate(const gp_Ax1& theA1, const double theAng) { pos.Rotate(theA1, theAng); }
 
   //! Rotates a circle. theA1 is the axis of the rotation.
   //! theAng is the angular value of the rotation in radians.
   [[nodiscard]] gp_Circ Rotated(const gp_Ax1& theA1, const double theAng) const
   {
     gp_Circ aC = *this;
     aC.pos.Rotate(theA1, theAng);
     return aC;
   }
 
   void Scale(const gp_Pnt& 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_Circ Scaled(const gp_Pnt& theP, const double theS) const;
 
   void Transform(const gp_Trsf& theT);
 
   //! Transforms a circle with the transformation theT from class Trsf.
   [[nodiscard]] gp_Circ Transformed(const gp_Trsf& theT) const;
 
   constexpr void Translate(const gp_Vec& 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_Circ Translated(const gp_Vec& theV) const noexcept
   {
     gp_Circ aC = *this;
     aC.pos.Translate(theV);
     return aC;
   }
 
   constexpr void Translate(const gp_Pnt& theP1, const gp_Pnt& theP2) noexcept
   {
     pos.Translate(theP1, theP2);
   }
 
   //! Translates a circle from the point theP1 to the point theP2.
   [[nodiscard]] constexpr gp_Circ Translated(const gp_Pnt& theP1,
                                              const gp_Pnt& theP2) const noexcept
   {
     gp_Circ aC = *this;
     aC.pos.Translate(theP1, theP2);
     return aC;
   }
 
 private:
   gp_Ax2 pos;
   double radius;
 };
 
 //=================================================================================================
 
 inline void gp_Circ::Scale(const gp_Pnt& theP, const double theS)
 {
   radius *= theS;
   if (radius < 0)
   {
     radius = -radius;
   }
   pos.Scale(theP, theS);
 }
 
 //=================================================================================================
 
 inline gp_Circ gp_Circ::Scaled(const gp_Pnt& theP, const double theS) const
 {
   gp_Circ aC = *this;
   aC.radius *= theS;
   if (aC.radius < 0)
   {
     aC.radius = -aC.radius;
   }
   aC.pos.Scale(theP, theS);
   return aC;
 }
 
 //=================================================================================================
 
 inline void gp_Circ::Transform(const gp_Trsf& theT)
 {
   radius *= theT.ScaleFactor();
   if (radius < 0)
   {
     radius = -radius;
   }
   pos.Transform(theT);
 }
 
 //=================================================================================================
 
 inline gp_Circ gp_Circ::Transformed(const gp_Trsf& theT) const
 {
   gp_Circ aC = *this;
   aC.radius *= theT.ScaleFactor();
   if (aC.radius < 0)
   {
     aC.radius = -aC.radius;
   }
   aC.pos.Transform(theT);
   return aC;
 }
 
 #endif // _gp_Circ_HeaderFile

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