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 // Created on: 1996-11-21
 // Created by: Joelle CHAUVET
 // Copyright (c) 1996-1999 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 _GeomPlate_Surface_HeaderFile
 #define _GeomPlate_Surface_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_Type.hxx>
 
 #include <Plate_Plate.hxx>
 #include <Geom_Surface.hxx>
 #include <GeomAbs_Shape.hxx>
 #include <gp_XY.hxx>
 #include <NCollection_Sequence.hxx>
 class gp_Trsf;
 class gp_GTrsf2d;
 class Geom_Curve;
 class Geom_Geometry;
 
 //! Describes the characteristics of plate surface objects
 //! returned by BuildPlateSurface::Surface. These can be
 //! used to verify the quality of the resulting surface before
 //! approximating it to a Geom_BSpline surface generated
 //! by MakeApprox. This proves necessary in cases where
 //! you want to use the resulting surface as the support for
 //! a shape. The algorithmically generated surface cannot
 //! fill this function as is, and as a result must be converted first.
 class GeomPlate_Surface : public Geom_Surface
 {
 
 public:
   Standard_EXPORT GeomPlate_Surface(const occ::handle<Geom_Surface>& Surfinit,
                                     const Plate_Plate&               Surfinter);
 
   //! Reverses the U direction of parametrization of <me>.
   //! The bounds of the surface are not modified.
   Standard_EXPORT void UReverse() override;
 
   //! Return the parameter on the Ureversed surface for
   //! the point of parameter U on <me>.
   //! @code
   //!   me->UReversed()->Value(me->UReversedParameter(U),V)
   //! @endcode
   //! is the same point as
   //! @code
   //!   me->Value(U,V)
   //! @endcode
   Standard_EXPORT double UReversedParameter(const double U) const override;
 
   //! Reverses the V direction of parametrization of <me>.
   //! The bounds of the surface are not modified.
   Standard_EXPORT void VReverse() override;
 
   //! Return the parameter on the Vreversed surface for
   //! the point of parameter V on <me>.
   //! @code
   //!   me->VReversed()->Value(U,me->VReversedParameter(V))
   //! @endcode
   //! is the same point as
   //! @code
   //!   me->Value(U,V)
   //! @endcode
   Standard_EXPORT double VReversedParameter(const double V) const override;
 
   //! Computes the parameters on the transformed surface for
   //! the transform of the point of parameters U,V on <me>.
   //! @code
   //!   me->Transformed(T)->Value(U',V')
   //! @endcode
   //! is the same point as
   //! @code
   //!   me->Value(U,V).Transformed(T)
   //! @endcode
   //! Where U',V' are the new values of U,V after calling
   //! @code
   //!   me->TransformParameters(U,V,T)
   //! @endcode
   //! This methods does not change <U> and <V>
   //!
   //! It can be redefined. For example on the Plane,
   //! Cylinder, Cone, Revolved and Extruded surfaces.
   Standard_EXPORT void TransformParameters(double& U, double& V, const gp_Trsf& T) const override;
 
   //! Returns a 2d transformation used to find the new
   //! parameters of a point on the transformed surface.
   //! @code
   //!   me->Transformed(T)->Value(U',V')
   //! @endcode
   //! is the same point as
   //! @code
   //!   me->Value(U,V).Transformed(T)
   //! @endcode
   //! Where U',V' are obtained by transforming U,V with
   //! the 2d transformation returned by
   //! @code
   //!   me->ParametricTransformation(T)
   //! @endcode
   //! This method returns an identity transformation
   //!
   //! It can be redefined. For example on the Plane,
   //! Cylinder, Cone, Revolved and Extruded surfaces.
   Standard_EXPORT gp_GTrsf2d ParametricTransformation(const gp_Trsf& T) const override;
 
   Standard_EXPORT void Bounds(double& U1, double& U2, double& V1, double& V2) const override;
 
   //! Is the surface closed in the parametric direction U ?
   //! Returns True if for each parameter V the distance
   //! between the point P (UFirst, V) and P (ULast, V) is
   //! lower or equal to Resolution from gp. UFirst and ULast
   //! are the parametric bounds in the U direction.
   Standard_EXPORT bool IsUClosed() const override;
 
   //! Is the surface closed in the parametric direction V ?
   //! Returns True if for each parameter U the distance
   //! between the point P (U, VFirst) and P (U, VLast) is
   //! lower or equal to Resolution from gp. VFirst and VLast
   //! are the parametric bounds in the V direction.
   Standard_EXPORT bool IsVClosed() const override;
 
   //! Is the parametrization of a surface periodic in the
   //! direction U ?
   //! It is possible only if the surface is closed in this
   //! parametric direction and if the following relation is
   //! satisfied :
   //! for each parameter V the distance between the point
   //! P (U, V) and the point P (U + T, V) is lower or equal
   //! to Resolution from package gp. T is the parametric period
   //! and must be a constant.
   Standard_EXPORT bool IsUPeriodic() const override;
 
   //! returns the Uperiod.
   //! raises if the surface is not uperiodic.
   Standard_EXPORT double UPeriod() const override;
 
   //! Is the parametrization of a surface periodic in the
   //! direction U ?
   //! It is possible only if the surface is closed in this
   //! parametric direction and if the following relation is
   //! satisfied :
   //! for each parameter V the distance between the point
   //! P (U, V) and the point P (U + T, V) is lower or equal
   //! to Resolution from package gp. T is the parametric period
   //! and must be a constant.
   Standard_EXPORT bool IsVPeriodic() const override;
 
   //! returns the Vperiod.
   //! raises if the surface is not vperiodic.
   Standard_EXPORT double VPeriod() const override;
 
   //! Computes the U isoparametric curve.
   Standard_EXPORT occ::handle<Geom_Curve> UIso(const double U) const override;
 
   //! Computes the V isoparametric curve.
   Standard_EXPORT occ::handle<Geom_Curve> VIso(const double V) const override;
 
   //! Global Continuity of the surface in direction U and V :
   //! C0 : only geometric continuity,
   //! C1 : continuity of the first derivative all along the surface,
   //! C2 : continuity of the second derivative all along the surface,
   //! C3 : continuity of the third derivative all along the surface,
   //! G1 : tangency continuity all along the surface,
   //! G2 : curvature continuity all along the surface,
   //! CN : the order of continuity is infinite.
   //! Example :
   //! If the surface is C1 in the V parametric direction and C2
   //! in the U parametric direction Shape = C1.
   Standard_EXPORT GeomAbs_Shape Continuity() const override;
 
   //! Returns the order of continuity of the surface in the
   //! U parametric direction.
   //! Raised if N < 0.
   Standard_EXPORT bool IsCNu(const int N) const override;
 
   //! Returns the order of continuity of the surface in the
   //! V parametric direction.
   //! Raised if N < 0.
   Standard_EXPORT bool IsCNv(const int N) const override;
 
   //! Computes the point of parameter U,V on the surface.
   //!
   //! Raised only for an "OffsetSurface" if it is not possible to
   //! compute the current point.
   Standard_EXPORT gp_Pnt EvalD0(const double U, const double V) const override;
 
   //! Computes the point P and the first derivatives in the
   //! directions U and V at this point.
   //! Raised if the continuity of the surface is not C1.
   Standard_EXPORT Geom_Surface::ResD1 EvalD1(const double U, const double V) const override;
 
   //! Computes the point P, the first and the second derivatives in
   //! the directions U and V at this point.
   //! Raised if the continuity of the surface is not C2.
   Standard_EXPORT Geom_Surface::ResD2 EvalD2(const double U, const double V) const override;
 
   //! Computes the point P, the first,the second and the third
   //! derivatives in the directions U and V at this point.
   //! Raised if the continuity of the surface is not C2.
   Standard_EXPORT Geom_Surface::ResD3 EvalD3(const double U, const double V) const override;
 
   //! ---Purpose ;
   //! Computes the derivative of order Nu in the direction U and Nv
   //! in the direction V at the point P(U, V).
   //!
   //! Raised if the continuity of the surface is not CNu in the U
   //! direction or not CNv in the V direction.
   //! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
   Standard_EXPORT gp_Vec EvalDN(const double U,
                                 const double V,
                                 const int    Nu,
                                 const int    Nv) const override;
 
   Standard_EXPORT occ::handle<Geom_Geometry> Copy() const override;
 
   //! Transformation of a geometric object. This transformation
   //! can be a translation, a rotation, a symmetry, a scaling
   //! or a complex transformation obtained by combination of
   //! the previous elementaries transformations.
   //! (see class Transformation of the package Geom).
   Standard_EXPORT void Transform(const gp_Trsf& T) override;
 
   Standard_EXPORT occ::handle<Geom_Surface> CallSurfinit() const;
 
   Standard_EXPORT void SetBounds(const double Umin,
                                  const double Umax,
                                  const double Vmin,
                                  const double Vmax);
 
   Standard_EXPORT void RealBounds(double& U1, double& U2, double& V1, double& V2) const;
 
   Standard_EXPORT void Constraints(NCollection_Sequence<gp_XY>& Seq) const;
 
   DEFINE_STANDARD_RTTIEXT(GeomPlate_Surface, Geom_Surface)
 
 private:
   Plate_Plate               mySurfinter;
   occ::handle<Geom_Surface> mySurfinit;
   double                    myUmin;
   double                    myUmax;
   double                    myVmin;
   double                    myVmax;
 };
 
 #endif // _GeomPlate_Surface_HeaderFile

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