// Copyright (c) 2025 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 _Geom2dEval_CircleInvoluteCurve_HeaderFile
#define _Geom2dEval_CircleInvoluteCurve_HeaderFile

#include "Geom2d_Curve.hxx"
#include "gp_Ax2d.hxx"

class gp_Trsf2d;
class Geom2d_Geometry;

//! Describes a 2D involute of a circle.
//! Critical for gear tooth profiles.
//!
//! The parametric equation is:
//! @code
//!   C(t) = O + R*(cos(t) + t*sin(t))*XDir + R*(sin(t) - t*cos(t))*YDir
//! @endcode
//! where:
//! - O, XDir are from the local coordinate system,
//! - YDir is the perpendicular to XDir,
//! - R is the base circle radius (> 0).
//!
//! The parameter range is [0, +inf).
//! At t=0, the curve starts on the base circle. D1(0) = (0,0) (cusp).
//! |D1(t)| = R*t (speed linear in parameter).
class Geom2dEval_CircleInvoluteCurve : public Geom2d_Curve
{
public:
  //! Creates an involute of a circle.
  //! @param[in] thePosition the local coordinate system
  //! @param[in] theRadius the base circle radius (must be > 0)
  //! @throw Standard_ConstructionError if theRadius <= 0
  Standard_EXPORT Geom2dEval_CircleInvoluteCurve(const gp_Ax2d& thePosition, double theRadius);

  //! Returns the local coordinate system.
  Standard_EXPORT const gp_Ax2d& Position() const;

  //! Returns the base circle radius.
  Standard_EXPORT double Radius() const;

  //! Reversal is not supported for this eval curve.
  //! @throw Standard_NotImplemented
  Standard_EXPORT void Reverse() final;

  //! Reversal is not supported for this eval curve.
  //! @throw Standard_NotImplemented
  Standard_EXPORT double ReversedParameter(const double U) const final;

  //! Returns 0.
  Standard_EXPORT double FirstParameter() const final;

  //! Returns Precision::Infinite().
  Standard_EXPORT double LastParameter() const final;

  //! Returns false.
  Standard_EXPORT bool IsClosed() const final;

  //! Returns false.
  Standard_EXPORT bool IsPeriodic() const final;

  //! Returns GeomAbs_CN.
  Standard_EXPORT GeomAbs_Shape Continuity() const final;

  //! Returns true for any N >= 0.
  Standard_EXPORT bool IsCN(const int N) const final;

  //! Computes the point at parameter U.
  Standard_EXPORT gp_Pnt2d EvalD0(const double U) const final;

  //! Computes the point and first derivative at parameter U.
  Standard_EXPORT Geom2d_Curve::ResD1 EvalD1(const double U) const final;

  //! Computes the point and first two derivatives at parameter U.
  Standard_EXPORT Geom2d_Curve::ResD2 EvalD2(const double U) const final;

  //! Computes the point and first three derivatives at parameter U.
  Standard_EXPORT Geom2d_Curve::ResD3 EvalD3(const double U) const final;

  //! Computes the N-th derivative at parameter U.
  //! @throw Standard_RangeError if N < 1
  Standard_EXPORT gp_Vec2d EvalDN(const double U, const int N) const final;

  //! Transformation is not supported for this eval geometry.
  //! @throw Standard_NotImplemented
  Standard_EXPORT void Transform(const gp_Trsf2d& T) final;

  //! Creates a new object which is a copy of this curve.
  Standard_EXPORT occ::handle<Geom2d_Geometry> Copy() const final;

  //! Dumps the content of me into the stream.
  Standard_EXPORT void DumpJson(Standard_OStream& theOStream, int theDepth = -1) const final;

  DEFINE_STANDARD_RTTIEXT(Geom2dEval_CircleInvoluteCurve, Geom2d_Curve)

private:
  gp_Ax2d myPosition; //!< Local coordinate system
  double  myRadius;   //!< Base circle radius (> 0)
};

#endif // _Geom2dEval_CircleInvoluteCurve_HeaderFile