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 // Created on: 1993-07-07
 // Created by: Jean Claude VAUTHIER
 // Copyright (c) 1993-1999 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 _GeomLib_HeaderFile
 #define _GeomLib_HeaderFile
 
 #include <Adaptor3d_Surface.hxx>
 #include <GeomAbs_Shape.hxx>
 #include <TColgp_Array1OfPnt.hxx>
 #include <TColStd_Array1OfReal.hxx>
 #include <TColStd_HArray1OfReal.hxx>
 #include <TColStd_SequenceOfReal.hxx>
 
 class Geom_Curve;
 class gp_Ax2;
 class Geom2d_Curve;
 class gp_GTrsf2d;
 class Adaptor3d_CurveOnSurface;
 class Geom_BoundedCurve;
 class gp_Pnt;
 class gp_Vec;
 class Geom_BoundedSurface;
 class gp_Dir;
 class Adaptor3d_Curve;
 class Geom_BSplineSurface;
 class Geom_BezierSurface;
 class Geom_Surface;
 
 typedef class Adaptor2d_Curve2d Adaptor2d_Curve2d;
 
 //! Geom    Library.    This   package   provides   an
 //! implementation of  functions for basic computation
 //! on geometric entity from packages Geom and Geom2d.
 class GeomLib 
 {
 public:
 
   DEFINE_STANDARD_ALLOC
 
   
   //! Computes     the  curve  3d    from  package  Geom
   //! corresponding to curve 2d  from package Geom2d, on
   //! the plan defined with the local coordinate system
   //! Position.
   Standard_EXPORT static Handle(Geom_Curve) To3d (const gp_Ax2& Position, const Handle(Geom2d_Curve)& Curve2d);
   
   //! Computes the    curve    3d  from   package   Geom
   //! corresponding  to the curve  3d from package Geom,
   //! transformed with the transformation <GTrsf>
   //! WARNING : this method may return a null Handle if
   //! it's impossible to compute the transformation of
   //! a curve. It's not implemented when :
   //! 1) the curve is an infinite parabola or hyperbola
   //! 2) the curve is an offsetcurve
   Standard_EXPORT static Handle(Geom2d_Curve) GTransform (const Handle(Geom2d_Curve)& Curve, const gp_GTrsf2d& GTrsf);
   
   //! Make the curve Curve2dPtr have the imposed
   //! range First to List the most economic way,
   //! that is if it can change the range without
   //! changing the nature of the curve it will try
   //! to do that. Otherwise it will produce a Bspline
   //! curve that has the required range
   Standard_EXPORT static void SameRange (const Standard_Real Tolerance, const Handle(Geom2d_Curve)& Curve2dPtr, const Standard_Real First, const Standard_Real Last, const Standard_Real RequestedFirst, const Standard_Real RequestedLast, Handle(Geom2d_Curve)& NewCurve2dPtr);
   
   Standard_EXPORT static void BuildCurve3d (const Standard_Real Tolerance, Adaptor3d_CurveOnSurface& CurvePtr, const Standard_Real FirstParameter, const Standard_Real LastParameter, Handle(Geom_Curve)& NewCurvePtr, Standard_Real& MaxDeviation, Standard_Real& AverageDeviation, const GeomAbs_Shape Continuity = GeomAbs_C1, const Standard_Integer MaxDegree = 14, const Standard_Integer MaxSegment = 30);
   
   Standard_EXPORT static void AdjustExtremity (Handle(Geom_BoundedCurve)& Curve, const gp_Pnt& P1, const gp_Pnt& P2, const gp_Vec& T1, const gp_Vec& T2);
   
   //! Extends the bounded curve Curve to the point Point.
   //! The extension is built:
   //! -      at the end of the curve if After equals true, or
   //! -      at the beginning of the curve if After equals false.
   //! The extension is performed according to a degree of
   //! continuity equal to Cont, which in its turn must be equal to 1, 2 or 3.
   //! This function converts the bounded curve Curve into a BSpline curve.
   //! Warning
   //! -   Nothing is done, and Curve is not modified if Cont is
   //! not equal to 1, 2 or 3.
   //! -   It is recommended that the extension should not be
   //! too large with respect to the size of the bounded
   //! curve Curve: Point must not be located too far from
   //! one of the extremities of Curve.
   Standard_EXPORT static void ExtendCurveToPoint (Handle(Geom_BoundedCurve)& Curve, const gp_Pnt& Point, const Standard_Integer Cont, const Standard_Boolean After);
   
 
   //! Extends the bounded surface Surf along one of its
   //! boundaries. The chord length of the extension is equal to Length.
   //! The direction of the extension is given as:
   //! -   the u parametric direction of Surf, if InU equals true,   or
   //! -   the v parametric direction of Surf, if InU equals false.
   //! In this parametric direction, the extension is built on the side of:
   //! -   the last parameter of Surf, if After equals true, or
   //! -   the first parameter of Surf, if After equals false.
   //! The extension is performed according to a degree of
   //! continuity equal to Cont, which in its turn must be equal to 1, 2 or 3.
   //! This function converts the bounded surface Surf into a BSpline surface.
   //! Warning
   //! -   Nothing is done, and Surf is not modified if Cont is
   //! not equal to 1, 2 or 3.
   //! -   It is recommended that Length, the size of the
   //! extension should not be too large with respect to the
   //! size of the bounded surface Surf.
   //! -   Surf must not be a periodic BSpline surface in the
   //! parametric direction corresponding to the direction of extension.
   Standard_EXPORT static void ExtendSurfByLength (Handle(Geom_BoundedSurface)& Surf, const Standard_Real Length, const Standard_Integer Cont, const Standard_Boolean InU, const Standard_Boolean After);
   
   //! Compute   axes of inertia,  of some  points --  -- --
   //! <Axe>.Location() is the   BaryCentre -- -- --   -- --
   //! <Axe>.XDirection is the axe of upper inertia -- -- --
   //! -- <Axe>.Direction is the Normal to the average plane
   //! -- -- -- IsSingular is True if  points are on line --
   //! Tol is used to determine singular cases.
   Standard_EXPORT static void AxeOfInertia (const TColgp_Array1OfPnt& Points, gp_Ax2& Axe, Standard_Boolean& IsSingular, const Standard_Real Tol = 1.0e-7);
   
   //! Compute principale axes  of  inertia, and dispersion
   //! value  of some  points.
   Standard_EXPORT static void Inertia (const TColgp_Array1OfPnt& Points, gp_Pnt& Bary, gp_Dir& XDir, gp_Dir& YDir, Standard_Real& Xgap, Standard_Real& YGap, Standard_Real& ZGap);
   
   //! Warning!  This assume that the InParameter is an increasing sequence
   //! of real number and it will not check for that : Unpredictable
   //! result can happen if this is not satisfied. It is the caller
   //! responsibility to check for that property.
   //!
   //! This  method makes uniform NumPoints segments S1,...SNumPoints out
   //! of the segment defined by the first parameter and the
   //! last  parameter of the  InParameter ; keeps   only one
   //! point of the InParameters set of parameter in each of
   //! the uniform segments taking care of the first and the
   //! last   parameters. For the ith segment the element of
   //! the InParameter is the one that is the first to exceed
   //! the midpoint of the segment and to fall before the
   //! midpoint of the next segment
   //! There  will be  at  the  end at   most NumPoints + 1  if
   //! NumPoints > 2 in the OutParameters Array
   Standard_EXPORT static void RemovePointsFromArray (const Standard_Integer NumPoints, const TColStd_Array1OfReal& InParameters, Handle(TColStd_HArray1OfReal)& OutParameters);
   
   //! this  makes sure that there  is at least MinNumPoints
   //! in OutParameters taking into account the parameters in
   //! the InParameters array provided those are in order,
   //! that is the sequence of real in the InParameter is strictly
   //! non decreasing
   Standard_EXPORT static void DensifyArray1OfReal (const Standard_Integer MinNumPoints, const TColStd_Array1OfReal& InParameters, Handle(TColStd_HArray1OfReal)& OutParameters);
   
   //! This method fuse intervals Interval1 and Interval2 with specified Confusion
   //! @param Interval1 [in] first interval to fuse 
   //! @param Interval2 [in] second interval to fuse
   //! @param Confision [in] tolerance to compare intervals
   //! @param IsAdjustToFirstInterval [in] flag to set method of fusion, if intervals are close
   //!                               if false, intervals are fusing by half-division methdod
   //!                               if true, intervals are fusing by selecting value from Interval1
   //! @param Fusion [out] output interval 
   Standard_EXPORT static void FuseIntervals (const TColStd_Array1OfReal& Interval1, 
                                              const TColStd_Array1OfReal& Interval2, 
                                              TColStd_SequenceOfReal& Fusion,
                                              const Standard_Real Confusion = 1.0e-9, 
                                              const Standard_Boolean IsAdjustToFirstInterval = Standard_False);
   
   //! this  will compute   the   maximum distance  at  the
   //! parameters  given    in   the Parameters  array    by
   //! evaluating each parameter  the two curves  and taking
   //! the maximum of the evaluated distance
   Standard_EXPORT static void EvalMaxParametricDistance (const Adaptor3d_Curve& Curve, const Adaptor3d_Curve& AReferenceCurve, const Standard_Real Tolerance, const TColStd_Array1OfReal& Parameters, Standard_Real& MaxDistance);
   
   //! this will compute the maximum distance at the parameters
   //! given in the Parameters array by projecting from the Curve
   //! to the reference curve and taking the minimum distance
   //! Than the maximum will be taken on those minimas.
   Standard_EXPORT static void EvalMaxDistanceAlongParameter (const Adaptor3d_Curve& Curve, const Adaptor3d_Curve& AReferenceCurve, const Standard_Real Tolerance, const TColStd_Array1OfReal& Parameters, Standard_Real& MaxDistance);
   
   //! Cancel,on the boundaries,the denominator  first derivative
   //! in  the directions wished by the user and set its value to 1.
   Standard_EXPORT static void CancelDenominatorDerivative (Handle(Geom_BSplineSurface)& BSurf, const Standard_Boolean UDirection, const Standard_Boolean VDirection);
 
   //! Estimate surface normal at the given (U, V) point.
   //! @param[in]  theSurf input surface
   //! @param[in]  theUV   (U, V) point coordinates on the surface
   //! @param[in]  theTol  estimation tolerance
   //! @param[out] theNorm computed normal
   //! @return 0 if normal estimated from D1,
   //!         1 if estimated from D2 (quasysingular),
   //!       >=2 in case of failure (undefined or infinite solutions)
   Standard_EXPORT static Standard_Integer NormEstim (const Handle(Geom_Surface)& theSurf,
                                                      const gp_Pnt2d& theUV,
                                                      const Standard_Real theTol,
                                                      gp_Dir& theNorm);
 
   //! This method defines if opposite boundaries of surface
   //! coincide with given tolerance
   Standard_EXPORT static void IsClosed(const Handle(Geom_Surface)& S, const Standard_Real Tol,
                                        Standard_Boolean& isUClosed, Standard_Boolean& isVClosed);
 
   //! Returns true if the poles of U1 isoline and the poles of
   //! U2 isoline of surface are identical according to tolerance criterion.
   //! For rational surfaces Weights(i)*Poles(i) are checked.
   Standard_EXPORT static Standard_Boolean IsBSplUClosed(const Handle(Geom_BSplineSurface)& S, 
                                                         const Standard_Real U1,
                                                         const Standard_Real U2,
                                                         const Standard_Real Tol);
 
   //! Returns true if the poles of V1 isoline and the poles of
   //! V2 isoline of surface are identical according to tolerance criterion.
   //! For rational surfaces Weights(i)*Poles(i) are checked.
   Standard_EXPORT static Standard_Boolean IsBSplVClosed(const Handle(Geom_BSplineSurface)& S, 
                                                         const Standard_Real V1,
                                                         const Standard_Real V2,
                                                         const Standard_Real Tol);
 
   //! Returns true if the poles of U1 isoline and the poles of
   //! U2 isoline of surface are identical according to tolerance criterion.
   Standard_EXPORT static Standard_Boolean IsBzUClosed(const Handle(Geom_BezierSurface)& S, 
                                                         const Standard_Real U1,
                                                         const Standard_Real U2,
                                                         const Standard_Real Tol);
 
   //! Returns true if the poles of V1 isoline and the poles of
   //! V2 isoline of surface are identical according to tolerance criterion.
   Standard_EXPORT static Standard_Boolean IsBzVClosed(const Handle(Geom_BezierSurface)& S, 
                                                         const Standard_Real V1,
                                                         const Standard_Real V2,
                                                         const Standard_Real Tol);
 
   //! Checks whether the 2d curve is a isoline. It can be represented by b-spline, bezier,
   //! or geometric line. This line should have natural parameterization.
   //! @param theC2D       Trimmed curve to be checked.
   //! @param theIsU       Flag indicating that line is u const.
   //! @param theParam     Line parameter.
   //! @param theIsForward Flag indicating forward parameterization on a isoline.
   //! @return Standard_True when 2d curve is a line and Standard_False otherwise.
   Standard_EXPORT static Standard_Boolean isIsoLine (const Handle(Adaptor2d_Curve2d)& theC2D,
                                                      Standard_Boolean&                theIsU,
                                                      Standard_Real&                   theParam,
                                                      Standard_Boolean&                theIsForward);
 
   //! Builds 3D curve for a isoline. This method takes corresponding isoline from
   //! the input surface.
   //! @param theC2D   Trimmed curve to be approximated.
   //! @param theIsU   Flag indicating that line is u const.
   //! @param theParam Line parameter.
   //! @param theIsForward Flag indicating forward parameterization on a isoline.
   //! @return Standard_True when 3d curve is built and Standard_False otherwise.
   Standard_EXPORT static Handle(Geom_Curve) buildC3dOnIsoLine (const Handle(Adaptor2d_Curve2d)& theC2D,
                                                                const Handle(Adaptor3d_Surface)& theSurf,
                                                                const Standard_Real              theFirst,
                                                                const Standard_Real              theLast,
                                                                const Standard_Real              theTolerance,
                                                                const Standard_Boolean           theIsU,
                                                                const Standard_Real              theParam,
                                                                const Standard_Boolean           theIsForward);
 
 };
 
 #endif // _GeomLib_HeaderFile

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