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 // Created on: 1994-03-18
 // Created by: Bruno DUMORTIER
 // Copyright (c) 1994-1999 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 _GeomAPI_ExtremaSurfaceSurface_HeaderFile
 #define _GeomAPI_ExtremaSurfaceSurface_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <Standard_Integer.hxx>
 #include <Extrema_ExtSS.hxx>
 class Geom_Surface;
 class gp_Pnt;
 
 //! Describes functions for computing all the extrema
 //! between two surfaces.
 //! An ExtremaSurfaceSurface algorithm minimizes or
 //! maximizes the distance between a point on the first
 //! surface and a point on the second surface. Results
 //! are start and end points of perpendiculars common to the two surfaces.
 //! Solutions consist of pairs of points, and an extremum
 //! is considered to be a segment joining the two points of a solution.
 //! An ExtremaSurfaceSurface object provides a framework for:
 //! -   defining the construction of the extrema,
 //! -   implementing the construction algorithm, and
 //! -   consulting the results.
 //! Warning
 //! In some cases, the nearest points between the two
 //! surfaces do not correspond to one of the computed
 //! extrema. Instead, they may be given by:
 //! -   a point of a bounding curve of one surface and one of the following:
 //! -   its orthogonal projection on the other surface,
 //! -   a point of a bounding curve of the other surface; or
 //! -   any point on intersection curves between the two surfaces.
 class GeomAPI_ExtremaSurfaceSurface
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! Constructs an empty algorithm for computing
   //! extrema between two surfaces. Use an Init function
   //! to define the surfaces on which it is going to work.
   Standard_EXPORT GeomAPI_ExtremaSurfaceSurface();
 
   //! Computes the extrema distances between the
   //! surfaces <S1> and <S2>
   Standard_EXPORT GeomAPI_ExtremaSurfaceSurface(const occ::handle<Geom_Surface>& S1,
                                                 const occ::handle<Geom_Surface>& S2);
 
   //! Computes the extrema distances between
   //! the portion of the surface S1 limited by the
   //! two values of parameter (U1min,U1max) in
   //! the u parametric direction, and by the two
   //! values of parameter (V1min,V1max) in the v
   //! parametric direction, and
   //! -   the portion of the surface S2 limited by the
   //! two values of parameter (U2min,U2max) in
   //! the u parametric direction, and by the two
   //! values of parameter (V2min,V2max) in the v
   //! parametric direction.
   Standard_EXPORT GeomAPI_ExtremaSurfaceSurface(const occ::handle<Geom_Surface>& S1,
                                                 const occ::handle<Geom_Surface>& S2,
                                                 const double                     U1min,
                                                 const double                     U1max,
                                                 const double                     V1min,
                                                 const double                     V1max,
                                                 const double                     U2min,
                                                 const double                     U2max,
                                                 const double                     V2min,
                                                 const double                     V2max);
 
   //! Initializes this algorithm with the given arguments
   //! and computes the extrema distances between the
   //! surfaces <S1> and <S2>
   Standard_EXPORT void Init(const occ::handle<Geom_Surface>& S1,
                             const occ::handle<Geom_Surface>& S2);
 
   //! Initializes this algorithm with the given arguments
   //! and computes the extrema distances between -
   //! the portion of the surface S1 limited by the two
   //! values of parameter (U1min,U1max) in the u
   //! parametric direction, and by the two values of
   //! parameter (V1min,V1max) in the v parametric direction, and
   //! -   the portion of the surface S2 limited by the two
   //! values of parameter (U2min,U2max) in the u
   //! parametric direction, and by the two values of
   //! parameter (V2min,V2max) in the v parametric direction.
   Standard_EXPORT void Init(const occ::handle<Geom_Surface>& S1,
                             const occ::handle<Geom_Surface>& S2,
                             const double                     U1min,
                             const double                     U1max,
                             const double                     V1min,
                             const double                     V1max,
                             const double                     U2min,
                             const double                     U2max,
                             const double                     V2min,
                             const double                     V2max);
 
   //! Returns the number of extrema computed by this algorithm.
   //! Note: if this algorithm fails, NbExtrema returns 0.
   Standard_EXPORT int NbExtrema() const;
   Standard_EXPORT     operator int() const;
 
   //! Returns the points P1 on the first surface and P2 on
   //! the second surface, which are the ends of the
   //! extremum of index Index computed by this algorithm.
   //! Exceptions
   //! Standard_OutOfRange if Index is not in the range [
   //! 1,NbExtrema ], where NbExtrema is the
   //! number of extrema computed by this algorithm.
   Standard_EXPORT void Points(const int Index, gp_Pnt& P1, gp_Pnt& P2) const;
 
   //! Returns the parameters (U1,V1) of the point on the
   //! first surface, and (U2,V2) of the point on the second
   //! surface, which are the ends of the extremum of index
   //! Index computed by this algorithm.
   //! Exceptions
   //! Standard_OutOfRange if Index is not in the range [
   //! 1,NbExtrema ], where NbExtrema is the
   //! number of extrema computed by this algorithm.
   Standard_EXPORT void Parameters(const int Index,
                                   double&   U1,
                                   double&   V1,
                                   double&   U2,
                                   double&   V2) const;
 
   //! Computes the distance between the end points of the
   //! extremum of index Index computed by this algorithm.
   //! Exceptions
   //! Standard_OutOfRange if Index is not in the range [
   //! 1,NbExtrema ], where NbExtrema is the
   //! number of extrema computed by this algorithm.
   Standard_EXPORT double Distance(const int Index) const;
 
   //! Returns True if the surfaces are parallel
   bool IsParallel() const { return myExtSS.IsParallel(); }
 
   //! Returns the points P1 on the first surface and P2 on
   //! the second surface, which are the ends of the
   //! shortest extremum computed by this algorithm.
   //! Exceptions StdFail_NotDone if this algorithm fails.
   Standard_EXPORT void NearestPoints(gp_Pnt& P1, gp_Pnt& P2) const;
 
   //! Returns the parameters (U1,V1) of the point on the
   //! first surface and (U2,V2) of the point on the second
   //! surface, which are the ends of the shortest extremum
   //! computed by this algorithm.
   //! Exceptions - StdFail_NotDone if this algorithm fails.
   Standard_EXPORT void LowerDistanceParameters(double& U1,
                                                double& V1,
                                                double& U2,
                                                double& V2) const;
 
   //! Computes the distance between the end points of the
   //! shortest extremum computed by this algorithm.
   //! Exceptions StdFail_NotDone if this algorithm fails.
   Standard_EXPORT double LowerDistance() const;
   Standard_EXPORT        operator double() const;
 
   //! return the algorithmic object from Extrema
   const Extrema_ExtSS& Extrema() const;
 
 private:
   bool          myIsDone;
   int           myIndex;
   Extrema_ExtSS myExtSS;
 };
 
 #include <GeomAPI_ExtremaSurfaceSurface.lxx>
 
 #endif // _GeomAPI_ExtremaSurfaceSurface_HeaderFile

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