// 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_Torus_HeaderFile
#define _gp_Torus_HeaderFile

#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Handle.hxx>

#include <gp_Ax3.hxx>
#include <Standard_Real.hxx>
#include <Standard_Boolean.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <gp_Ax1.hxx>
class Standard_ConstructionError;
class Standard_DimensionError;
class gp_Ax3;
class gp_Ax1;
class gp_Pnt;
class gp_Ax2;
class gp_Trsf;
class gp_Vec;



//! Describes a torus.
//! A torus is defined by its major and minor radii and
//! positioned in space with a coordinate system (a gp_Ax3
//! object) as follows:
//! -   The origin of the coordinate system is the center of the torus;
//! -   The surface is obtained by rotating a circle of radius
//! equal to the minor radius of the torus about the "main
//! Direction" of the coordinate system. This circle is
//! located in the plane defined by the origin, the "X
//! Direction" and the "main Direction" of the coordinate
//! system. It is centered on the "X Axis" of this coordinate
//! system, and located at a distance, from the origin of
//! this coordinate system, equal to the major radius of the   torus;
//! -   The "X Direction" and "Y Direction" define the
//! reference plane of the torus.
//! The coordinate system described above is the "local
//! coordinate system" of the torus.
//! Note: when a gp_Torus torus is converted into a
//! Geom_ToroidalSurface torus, some implicit properties
//! of its local coordinate system are used explicitly:
//! -   its origin, "X Direction", "Y Direction" and "main
//! Direction" are used directly to define the parametric
//! directions on the torus and the origin of the parameters,
//! -   its implicit orientation (right-handed or left-handed)
//! gives the orientation (direct, indirect) to the
//! Geom_ToroidalSurface torus.
//! See Also
//! gce_MakeTorus which provides functions for more
//! complex torus constructions
//! Geom_ToroidalSurface which provides additional
//! functions for constructing tori and works, in particular,
//! with the parametric equations of tori.
class gp_Torus 
{
public:

  DEFINE_STANDARD_ALLOC

  
  //! creates an indefinite Torus.
    gp_Torus();
  

  //! a torus centered on the origin of coordinate system
  //! A3, with major radius MajorRadius and minor radius
  //! MinorRadius, and with the reference plane defined
  //! by the origin, the "X Direction" and the "Y Direction" of A3.
  //! Warnings :
  //! It is not forbidden to create a torus with
  //! MajorRadius = MinorRadius = 0.0
  //! Raises ConstructionError if MinorRadius < 0.0 or if MajorRadius < 0.0
    gp_Torus(const gp_Ax3& A3, const Standard_Real MajorRadius, const Standard_Real MinorRadius);
  
  //! Modifies this torus, by redefining its local coordinate
  //! system so that:
  //! -   its origin and "main Direction" become those of the
  //! axis A1 (the "X Direction" and "Y Direction" are then recomputed).
  //! Raises ConstructionError if the direction of A1 is parallel to the "XDirection"
  //! of the coordinate system of the toroidal surface.
    void SetAxis (const gp_Ax1& A1);
  
  //! Changes the location of the torus.
    void SetLocation (const gp_Pnt& Loc);
  
  //! Assigns value to the major radius  of this torus.
  //! Raises ConstructionError if MajorRadius - MinorRadius <= Resolution()
    void SetMajorRadius (const Standard_Real MajorRadius);
  
  //! Assigns value to the  minor radius of this torus.
  //! Raises ConstructionError if MinorRadius < 0.0 or if
  //! MajorRadius - MinorRadius <= Resolution from gp.
    void SetMinorRadius (const Standard_Real MinorRadius);
  
  //! Changes the local coordinate system of the surface.
    void SetPosition (const gp_Ax3& A3);
  
  //! Computes the area of the torus.
    Standard_Real Area() const;
  
  //! Reverses the   U   parametrization of   the  torus
  //! reversing the YAxis.
    void UReverse();
  
  //! Reverses the   V   parametrization of   the  torus
  //! reversing the ZAxis.
  void VReverse();
  
  //! returns true if the Ax3, the local coordinate system of this torus, is right handed.
    Standard_Boolean Direct() const;
  
  //! returns the symmetry axis of the torus.
    const gp_Ax1& Axis() const;
  
  //! Computes the coefficients of the implicit equation of the surface
  //! in the absolute Cartesian coordinate system:
  //!     Coef(1) * X^4 + Coef(2) * Y^4 + Coef(3) * Z^4 +
  //!     Coef(4) * X^3 * Y + Coef(5) * X^3 * Z + Coef(6) * Y^3 * X +
  //!     Coef(7) * Y^3 * Z + Coef(8) * Z^3 * X + Coef(9) * Z^3 * Y +
  //!     Coef(10) * X^2 * Y^2 + Coef(11) * X^2 * Z^2 +
  //!     Coef(12) * Y^2 * Z^2 + Coef(13) * X^2 * Y * Z +
  //!     Coef(14) * X * Y^2 * Z + Coef(15) * X * Y * Z^2 +
  //!     Coef(16) * X^3 + Coef(17) * Y^3 + Coef(18) * Z^3 + 
  //!     Coef(19) * X^2 * Y + Coef(20) * X^2 * Z + Coef(21) * Y^2 * X +
  //!     Coef(22) * Y^2 * Z + Coef(23) * Z^2 * X + Coef(24) * Z^2 * Y +
  //!     Coef(25) * X * Y * Z +
  //!     Coef(26) * X^2 + Coef(27) * Y^2 + Coef(28) * Z^2 +
  //!     Coef(29) * X * Y + Coef(30) * X * Z + Coef(31) * Y * Z +
  //!     Coef(32) * X + Coef(33) * Y + Coef(34) *  Z + 
  //!     Coef(35) = 0.0
  //! Raises DimensionError if the length of Coef is lower than 35.
  Standard_EXPORT void Coefficients (TColStd_Array1OfReal& Coef) const;
  
  //! Returns the Torus's location.
    const gp_Pnt& Location() const;
  
  //! Returns the local coordinates system of the torus.
    const gp_Ax3& Position() const;
  
  //! returns the major radius of the torus.
    Standard_Real MajorRadius() const;
  
  //! returns the minor radius of the torus.
    Standard_Real MinorRadius() const;
  
  //! Computes the volume of the torus.
    Standard_Real Volume() const;
  
  //! returns the axis X of the torus.
    gp_Ax1 XAxis() const;
  
  //! returns the axis Y of the torus.
    gp_Ax1 YAxis() const;
  
  Standard_EXPORT void Mirror (const gp_Pnt& P);
  

  //! Performs the symmetrical transformation of a torus
  //! with respect to the point P which is the center of the
  //! symmetry.
  Standard_NODISCARD Standard_EXPORT gp_Torus Mirrored (const gp_Pnt& P) const;
  
  Standard_EXPORT void Mirror (const gp_Ax1& A1);
  

  //! Performs the symmetrical transformation of a torus with
  //! respect to an axis placement which is the axis of the
  //! symmetry.
  Standard_NODISCARD Standard_EXPORT gp_Torus Mirrored (const gp_Ax1& A1) const;
  
  Standard_EXPORT void Mirror (const gp_Ax2& A2);
  

  //! Performs the symmetrical transformation of a torus with respect
  //! to a plane. The axis placement A2 locates the plane of the
  //! of the symmetry : (Location, XDirection, YDirection).
  Standard_NODISCARD Standard_EXPORT gp_Torus Mirrored (const gp_Ax2& A2) const;
  
    void Rotate (const gp_Ax1& A1, const Standard_Real Ang);
  

  //! Rotates a torus. A1 is the axis of the rotation.
  //! Ang is the angular value of the rotation in radians.
    Standard_NODISCARD gp_Torus Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
  
    void Scale (const gp_Pnt& P, const Standard_Real S);
  

  //! Scales a torus. S is the scaling value.
  //! The absolute value of S is used to scale the torus
    Standard_NODISCARD gp_Torus Scaled (const gp_Pnt& P, const Standard_Real S) const;
  
    void Transform (const gp_Trsf& T);
  

  //! Transforms a torus with the transformation T from class Trsf.
    Standard_NODISCARD gp_Torus Transformed (const gp_Trsf& T) const;
  
    void Translate (const gp_Vec& V);
  

  //! Translates a torus in the direction of the vector V.
  //! The magnitude of the translation is the vector's magnitude.
    Standard_NODISCARD gp_Torus Translated (const gp_Vec& V) const;
  
    void Translate (const gp_Pnt& P1, const gp_Pnt& P2);
  

  //! Translates a torus from the point P1 to the point P2.
    Standard_NODISCARD gp_Torus Translated (const gp_Pnt& P1, const gp_Pnt& P2) const;




protected:





private:



  gp_Ax3 pos;
  Standard_Real majorRadius;
  Standard_Real minorRadius;


};


#include <gp_Torus.lxx>





#endif // _gp_Torus_HeaderFile
