// File generated by CPPExt (Transient)
//
//
//                     Copyright (C) 1991 - 2000 by  
//                      Matra Datavision SA.  All rights reserved.
//  
//                     Copyright (C) 2001 - 2004 by
//                     Open CASCADE SA.  All rights reserved.
// 
// This file is part of the Open CASCADE Technology software.
//
// This software may be distributed and/or modified under the terms and
// conditions of the Open CASCADE Public License as defined by Open CASCADE SA
// and appearing in the file LICENSE included in the packaging of this file.
//  
// This software is distributed on an "AS IS" basis, without warranty of any
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// including without limitation, any warranties of merchantability, fitness
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#ifndef _Geom_Surface_HeaderFile
#define _Geom_Surface_HeaderFile

#ifndef _Standard_HeaderFile
#include <Standard.hxx>
#endif
#ifndef _Handle_Geom_Surface_HeaderFile
#include <Handle_Geom_Surface.hxx>
#endif

#ifndef _Geom_Geometry_HeaderFile
#include <Geom_Geometry.hxx>
#endif
#ifndef _Standard_Real_HeaderFile
#include <Standard_Real.hxx>
#endif
#ifndef _Standard_Boolean_HeaderFile
#include <Standard_Boolean.hxx>
#endif
#ifndef _Handle_Geom_Curve_HeaderFile
#include <Handle_Geom_Curve.hxx>
#endif
#ifndef _GeomAbs_Shape_HeaderFile
#include <GeomAbs_Shape.hxx>
#endif
#ifndef _Standard_Integer_HeaderFile
#include <Standard_Integer.hxx>
#endif
class Standard_RangeError;
class Standard_NoSuchObject;
class Geom_UndefinedDerivative;
class Geom_UndefinedValue;
class gp_Trsf;
class gp_GTrsf2d;
class Geom_Curve;
class gp_Pnt;
class gp_Vec;


//! Describes the common behavior of surfaces in 3D <br>
//! space. The Geom package provides many <br>
//! implementations of concrete derived surfaces, such as <br>
//! planes, cylinders, cones, spheres and tori, surfaces of <br>
//! linear extrusion, surfaces of revolution, Bezier and <br>
//! BSpline surfaces, and so on. <br>
//! The key characteristic of these surfaces is that they <br>
//! are parameterized. Geom_Surface demonstrates: <br>
//! - how to work with the parametric equation of a <br>
//!   surface to compute the point of parameters (u, <br>
//!   v), and, at this point, the 1st, 2nd ... Nth derivative, <br>
//! - how to find global information about a surface in <br>
//!   each parametric direction (for example, level of <br>
//!   continuity, whether the surface is closed, its <br>
//!   periodicity, the bounds of the parameters and so on), and <br>
//! - how the parameters change when geometric <br>
//!   transformations are applied to the surface, or the <br>
//!   orientation is modified. <br>
//!   Note that all surfaces must have a geometric <br>
//! continuity, and any surface is at least "C0". Generally, <br>
//! continuity is checked at construction time or when the <br>
//! curve is edited. Where this is not the case, the <br>
//! documentation makes this explicit. <br>
//! Warning <br>
//! The Geom package does not prevent the construction of <br>
//! surfaces with null areas, or surfaces which self-intersect. <br>
class Geom_Surface : public Geom_Geometry {

public:
 // Methods PUBLIC
 // 


//!  Reverses the U direction of parametrization of <me>. <br>
//!  The bounds of the surface are not modified. <br>
Standard_EXPORT virtual  void UReverse()  = 0;


//!  Reverses the U direction of parametrization of <me>. <br>
//!  The bounds of the surface are not modified. <br>
//!  A copy of <me> is returned. <br>
Standard_EXPORT   Handle_Geom_Surface UReversed() const;

//! Returns the  parameter on the  Ureversed surface for <br>
//!          the point of parameter U on <me>. <br>
//! <br>
//!          me->UReversed()->Value(me->UReversedParameter(U),V) <br>
//! <br>
//!          is the same point as <br>
//! <br>
//!          me->Value(U,V) <br>
Standard_EXPORT virtual  Standard_Real UReversedParameter(const Standard_Real U) const = 0;


//!  Reverses the V direction of parametrization of <me>. <br>
//!  The bounds of the surface are not modified. <br>
Standard_EXPORT virtual  void VReverse()  = 0;


//!  Reverses the V direction of parametrization of <me>. <br>
//!  The bounds of the surface are not modified. <br>
//!  A copy of <me> is returned. <br>
Standard_EXPORT   Handle_Geom_Surface VReversed() const;

//! Returns the  parameter on the  Vreversed surface for <br>
//!          the point of parameter V on <me>. <br>
//! <br>
//!          me->VReversed()->Value(U,me->VReversedParameter(V)) <br>
//! <br>
//!          is the same point as <br>
//! <br>
//!          me->Value(U,V) <br>
Standard_EXPORT virtual  Standard_Real VReversedParameter(const Standard_Real V) const = 0;

//! Computes the  parameters on the  transformed  surface for <br>
//!          the transform of the point of parameters U,V on <me>. <br>
//! <br>
//!          me->Transformed(T)->Value(U',V') <br>
//! <br>
//!          is the same point as <br>
//! <br>
//!          me->Value(U,V).Transformed(T) <br>
//! <br>
//!          Where U',V' are the new values of U,V after calling <br>
//! <br>
//!          me->TranformParameters(U,V,T) <br>
//! <br>
//!          This methods does not change <U> and <V> <br>
//! <br>
//!          It  can be redefined.  For  example on  the Plane, <br>
//!          Cylinder, Cone, Revolved and Extruded surfaces. <br>
Standard_EXPORT virtual  void TransformParameters(Standard_Real& U,Standard_Real& V,const gp_Trsf& T) const;

//! Returns a 2d transformation  used to find the  new <br>
//!          parameters of a point on the transformed surface. <br>
//! <br>
//!          me->Transformed(T)->Value(U',V') <br>
//! <br>
//!          is the same point as <br>
//! <br>
//!          me->Value(U,V).Transformed(T) <br>
//! <br>
//!          Where U',V' are  obtained by transforming U,V with <br>
//!          th 2d transformation returned by <br>
//! <br>
//!          me->ParametricTransformation(T) <br>
//! <br>
//!          This methods returns an identity transformation <br>
//! <br>
//!          It  can be redefined.  For  example on  the Plane, <br>
//!          Cylinder, Cone, Revolved and Extruded surfaces. <br>
//! <br>
Standard_EXPORT virtual  gp_GTrsf2d ParametricTransformation(const gp_Trsf& T) const;

//! Returns the parametric bounds U1, U2, V1 and V2 of this surface. <br>
//! If the surface is infinite, this function can return a value <br>
//! equal to Precision::Infinite: instead of Standard_Real::LastReal. <br>
Standard_EXPORT virtual  void Bounds(Standard_Real& U1,Standard_Real& U2,Standard_Real& V1,Standard_Real& V2) const = 0;

//! Checks whether this surface is closed in the u <br>
//! parametric direction. <br>
//! Returns true if, in the u parametric direction: taking <br>
//! uFirst and uLast as the parametric bounds in <br>
//! the u parametric direction, for each parameter v, the <br>
//! distance between the points P(uFirst, v) and <br>
//! P(uLast, v) is less than or equal to gp::Resolution(). <br>
Standard_EXPORT virtual  Standard_Boolean IsUClosed() const = 0;

//! Checks whether this surface is closed in the u <br>
//! parametric direction. <br>
//! Returns true if, in the v parametric <br>
//! direction: taking vFirst and vLast as the <br>
//! parametric bounds in the v parametric direction, for <br>
//! each parameter u, the distance between the points <br>
//! P(u, vFirst) and P(u, vLast) is less than <br>
//! or equal to gp::Resolution(). <br>
Standard_EXPORT virtual  Standard_Boolean IsVClosed() const = 0;

//! Checks if this surface is periodic in the u <br>
//! parametric direction. Returns true if: <br>
//! - this surface is closed in the u parametric direction, and <br>
//! - there is a constant T such that the distance <br>
//!   between the points P (u, v) and P (u + T, <br>
//!   v) (or the points P (u, v) and P (u, v + <br>
//!   T)) is less than or equal to gp::Resolution(). <br>
//! Note: T is the parametric period in the u parametric direction. <br>
Standard_EXPORT virtual  Standard_Boolean IsUPeriodic() const = 0;

//! Returns the period of this surface in the u <br>
//! parametric direction. <br>//! raises if the surface is not uperiodic. <br>
Standard_EXPORT virtual  Standard_Real UPeriod() const;

//! Checks if this surface is periodic in the v <br>
//! parametric direction. Returns true if: <br>
//! - this surface is closed in the v parametric direction, and <br>
//! - there is a constant T such that the distance <br>
//!   between the points P (u, v) and P (u + T, <br>
//!   v) (or the points P (u, v) and P (u, v + <br>
//!   T)) is less than or equal to gp::Resolution(). <br>
//! Note: T is the parametric period in the v parametric direction. <br>
Standard_EXPORT virtual  Standard_Boolean IsVPeriodic() const = 0;

//! Returns the period of this surface in the v parametric direction. <br>//! raises if the surface is not vperiodic. <br>
Standard_EXPORT virtual  Standard_Real VPeriod() const;

//! Computes the U isoparametric curve. <br>
Standard_EXPORT virtual  Handle_Geom_Curve UIso(const Standard_Real U) const = 0;

//! Computes the V isoparametric curve. <br>
Standard_EXPORT virtual  Handle_Geom_Curve VIso(const Standard_Real V) const = 0;


//!  Returns the Global Continuity of the surface in direction U and V : <br>
//!  C0 : only geometric continuity, <br>
//!  C1 : continuity of the first derivative all along the surface, <br>
//!  C2 : continuity of the second derivative all along the surface, <br>
//!  C3 : continuity of the third derivative all along the surface, <br>
//!  G1 : tangency continuity all along the surface, <br>
//!  G2 : curvature continuity all along the surface, <br>
//!  CN : the order of continuity is infinite. <br>
//! Example : <br>
//!  If the surface is C1 in the V parametric direction and C2 <br>
//!  in the U parametric direction Shape = C1. <br>
Standard_EXPORT virtual  GeomAbs_Shape Continuity() const = 0;

//! Returns the order of continuity of the surface in the <br>
//!  U parametric direction. <br>//! Raised if N < 0. <br>
Standard_EXPORT virtual  Standard_Boolean IsCNu(const Standard_Integer N) const = 0;

//! Returns the order of continuity of the surface in the <br>
//!  V parametric direction. <br>//! Raised if N < 0. <br>
Standard_EXPORT virtual  Standard_Boolean IsCNv(const Standard_Integer N) const = 0;

//! Computes the point of parameter U,V on the surface. <br>
//!  Raised only for an "OffsetSurface" if it is not possible to <br>
//!  compute the current point. <br>
Standard_EXPORT virtual  void D0(const Standard_Real U,const Standard_Real V,gp_Pnt& P) const = 0;


//!  Computes the point P and the first derivatives in the <br>
//!  directions U and V at this point. <br>//! Raised if the continuity of the surface is not C1. <br>
Standard_EXPORT virtual  void D1(const Standard_Real U,const Standard_Real V,gp_Pnt& P,gp_Vec& D1U,gp_Vec& D1V) const = 0;


//!  Computes the point P, the first and the second derivatives in <br>
//!  the directions U and V at this point. <br>//! Raised if the continuity of the surface is not C2. <br>
Standard_EXPORT virtual  void D2(const Standard_Real U,const Standard_Real V,gp_Pnt& P,gp_Vec& D1U,gp_Vec& D1V,gp_Vec& D2U,gp_Vec& D2V,gp_Vec& D2UV) const = 0;


//!  Computes the point P, the first,the second and the third <br>
//!  derivatives in the directions U and V at this point. <br>//! Raised if the continuity of the surface is not C2. <br>
Standard_EXPORT virtual  void D3(const Standard_Real U,const Standard_Real V,gp_Pnt& P,gp_Vec& D1U,gp_Vec& D1V,gp_Vec& D2U,gp_Vec& D2V,gp_Vec& D2UV,gp_Vec& D3U,gp_Vec& D3V,gp_Vec& D3UUV,gp_Vec& D3UVV) const = 0;

//!---Purpose ; <br>
//!  Computes the derivative of order Nu in the direction U and Nv <br>
//!  in the direction V at the point P(U, V). <br>
//!  Raised if the continuity of the surface is not CNu in the U <br>
//!  direction or not CNv in the V direction. <br>//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. <br>
Standard_EXPORT virtual  gp_Vec DN(const Standard_Real U,const Standard_Real V,const Standard_Integer Nu,const Standard_Integer Nv) const = 0;


//!  Computes the point of parameter U on the surface. <br>
//! <br>
//!  It is implemented with D0 <br>
//!  Raised only for an "OffsetSurface" if it is not possible to <br>
//!  compute the current point. <br>
Standard_EXPORT   gp_Pnt Value(const Standard_Real U,const Standard_Real V) const;
//Standard_EXPORT ~Geom_Surface();




 // Type management
 //
 Standard_EXPORT const Handle(Standard_Type)& DynamicType() const;
 //Standard_EXPORT Standard_Boolean	       IsKind(const Handle(Standard_Type)&) const;

protected:

 // Methods PROTECTED
 // 


 // Fields PROTECTED
 //


private: 

 // Methods PRIVATE
 // 


 // Fields PRIVATE
 //


};





// other Inline functions and methods (like "C++: function call" methods)
//


#endif
