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0001 // Created on: 1997-02-06
0002 // Created by: Laurent BOURESCHE
0003 // Copyright (c) 1997-1999 Matra Datavision
0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS
0005 //
0006 // This file is part of Open CASCADE Technology software library.
0007 //
0008 // This library is free software; you can redistribute it and/or modify it under
0009 // the terms of the GNU Lesser General Public License version 2.1 as published
0010 // by the Free Software Foundation, with special exception defined in the file
0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
0012 // distribution for complete text of the license and disclaimer of any warranty.
0013 //
0014 // Alternatively, this file may be used under the terms of Open CASCADE
0015 // commercial license or contractual agreement.
0016 
0017 #ifndef _BRepBlend_RstRstEvolRad_HeaderFile
0018 #define _BRepBlend_RstRstEvolRad_HeaderFile
0019 
0020 #include <Adaptor3d_CurveOnSurface.hxx>
0021 #include <Adaptor3d_Surface.hxx>
0022 #include <gp_Pnt.hxx>
0023 #include <gp_Pnt2d.hxx>
0024 #include <gp_Vec.hxx>
0025 #include <gp_Vec2d.hxx>
0026 #include <BlendFunc_SectionShape.hxx>
0027 #include <Convert_ParameterisationType.hxx>
0028 #include <Blend_RstRstFunction.hxx>
0029 #include <math_Vector.hxx>
0030 #include <Blend_DecrochStatus.hxx>
0031 #include <TColStd_Array1OfReal.hxx>
0032 #include <GeomAbs_Shape.hxx>
0033 #include <TColStd_Array1OfInteger.hxx>
0034 #include <TColgp_Array1OfPnt.hxx>
0035 #include <TColgp_Array1OfVec.hxx>
0036 #include <TColgp_Array1OfPnt2d.hxx>
0037 #include <TColgp_Array1OfVec2d.hxx>
0038 
0039 class Law_Function;
0040 class math_Matrix;
0041 class gp_Circ;
0042 class Blend_Point;
0043 
0044 //! Function  to approximate by AppSurface  for
0045 //! Edge/Edge  and  evolutif  radius
0046 class BRepBlend_RstRstEvolRad : public Blend_RstRstFunction
0047 {
0048 public:
0049   DEFINE_STANDARD_ALLOC
0050 
0051   Standard_EXPORT BRepBlend_RstRstEvolRad(const Handle(Adaptor3d_Surface)& Surf1,
0052                                           const Handle(Adaptor2d_Curve2d)& Rst1,
0053                                           const Handle(Adaptor3d_Surface)& Surf2,
0054                                           const Handle(Adaptor2d_Curve2d)& Rst2,
0055                                           const Handle(Adaptor3d_Curve)&   CGuide,
0056                                           const Handle(Law_Function)&      Evol);
0057 
0058   //! Returns 2.
0059   Standard_EXPORT Standard_Integer NbVariables() const Standard_OVERRIDE;
0060 
0061   //! Returns 2.
0062   Standard_EXPORT Standard_Integer NbEquations() const Standard_OVERRIDE;
0063 
0064   //! computes the values <F> of the Functions for the
0065   //! variable <X>.
0066   //! Returns True if the computation was done successfully,
0067   //! False otherwise.
0068   Standard_EXPORT Standard_Boolean Value(const math_Vector& X, math_Vector& F) Standard_OVERRIDE;
0069 
0070   //! returns the values <D> of the derivatives for the
0071   //! variable <X>.
0072   //! Returns True if the computation was done successfully,
0073   //! False otherwise.
0074   Standard_EXPORT Standard_Boolean Derivatives(const math_Vector& X,
0075                                                math_Matrix&       D) Standard_OVERRIDE;
0076 
0077   //! returns the values <F> of the functions and the derivatives
0078   //! <D> for the variable <X>.
0079   //! Returns True if the computation was done successfully,
0080   //! False otherwise.
0081   Standard_EXPORT Standard_Boolean Values(const math_Vector& X,
0082                                           math_Vector&       F,
0083                                           math_Matrix&       D) Standard_OVERRIDE;
0084 
0085   Standard_EXPORT void Set(const Handle(Adaptor3d_Surface)& SurfRef1,
0086                            const Handle(Adaptor2d_Curve2d)& RstRef1,
0087                            const Handle(Adaptor3d_Surface)& SurfRef2,
0088                            const Handle(Adaptor2d_Curve2d)& RstRef2);
0089 
0090   Standard_EXPORT void Set(const Standard_Real Param) Standard_OVERRIDE;
0091 
0092   //! Sets the bounds of the parametric interval on
0093   //! the guide line.
0094   //! This determines the derivatives in these values if the
0095   //! function is not Cn.
0096   Standard_EXPORT void Set(const Standard_Real First, const Standard_Real Last) Standard_OVERRIDE;
0097 
0098   Standard_EXPORT void GetTolerance(math_Vector&        Tolerance,
0099                                     const Standard_Real Tol) const Standard_OVERRIDE;
0100 
0101   Standard_EXPORT void GetBounds(math_Vector& InfBound,
0102                                  math_Vector& SupBound) const Standard_OVERRIDE;
0103 
0104   Standard_EXPORT Standard_Boolean IsSolution(const math_Vector&  Sol,
0105                                               const Standard_Real Tol) Standard_OVERRIDE;
0106 
0107   //! Returns   the    minimal  Distance  between   two
0108   //! extremities of calculated sections.
0109   Standard_EXPORT virtual Standard_Real GetMinimalDistance() const Standard_OVERRIDE;
0110 
0111   Standard_EXPORT const gp_Pnt& PointOnRst1() const Standard_OVERRIDE;
0112 
0113   Standard_EXPORT const gp_Pnt& PointOnRst2() const Standard_OVERRIDE;
0114 
0115   //! Returns U,V coordinates of the point on the surface.
0116   Standard_EXPORT const gp_Pnt2d& Pnt2dOnRst1() const Standard_OVERRIDE;
0117 
0118   //! Returns  U,V coordinates of the point  on the curve on
0119   //! surface.
0120   Standard_EXPORT const gp_Pnt2d& Pnt2dOnRst2() const Standard_OVERRIDE;
0121 
0122   //! Returns parameter of the point on the curve.
0123   Standard_EXPORT Standard_Real ParameterOnRst1() const Standard_OVERRIDE;
0124 
0125   //! Returns parameter of the point on the curve.
0126   Standard_EXPORT Standard_Real ParameterOnRst2() const Standard_OVERRIDE;
0127 
0128   Standard_EXPORT Standard_Boolean IsTangencyPoint() const Standard_OVERRIDE;
0129 
0130   Standard_EXPORT const gp_Vec& TangentOnRst1() const Standard_OVERRIDE;
0131 
0132   Standard_EXPORT const gp_Vec2d& Tangent2dOnRst1() const Standard_OVERRIDE;
0133 
0134   Standard_EXPORT const gp_Vec& TangentOnRst2() const Standard_OVERRIDE;
0135 
0136   Standard_EXPORT const gp_Vec2d& Tangent2dOnRst2() const Standard_OVERRIDE;
0137 
0138   //! Enables  implementation of a criterion  of  decrochage
0139   //! specific to the function.
0140   Standard_EXPORT Blend_DecrochStatus Decroch(const math_Vector& Sol,
0141                                               gp_Vec&            NRst1,
0142                                               gp_Vec&            TgRst1,
0143                                               gp_Vec&            NRst2,
0144                                               gp_Vec&            TgRst2) const Standard_OVERRIDE;
0145 
0146   Standard_EXPORT void Set(const Standard_Integer Choix);
0147 
0148   //! Sets  the  type  of   section generation   for the
0149   //! approximations.
0150   Standard_EXPORT void Set(const BlendFunc_SectionShape TypeSection);
0151 
0152   //! Gives the center of circle defined   by PtRst1, PtRst2 and
0153   //! radius ray.
0154   Standard_EXPORT Standard_Boolean CenterCircleRst1Rst2(const gp_Pnt& PtRst1,
0155                                                         const gp_Pnt& PtRst2,
0156                                                         const gp_Vec& np,
0157                                                         gp_Pnt&       Center,
0158                                                         gp_Vec&       VdMed) const;
0159 
0160   Standard_EXPORT void Section(const Standard_Real Param,
0161                                const Standard_Real U,
0162                                const Standard_Real V,
0163                                Standard_Real&      Pdeb,
0164                                Standard_Real&      Pfin,
0165                                gp_Circ&            C);
0166 
0167   //! Returns  if the section is rational
0168   Standard_EXPORT Standard_Boolean IsRational() const Standard_OVERRIDE;
0169 
0170   //! Returns the length of the maximum section
0171   Standard_EXPORT Standard_Real GetSectionSize() const Standard_OVERRIDE;
0172 
0173   //! Compute the minimal value of weight for each poles
0174   //! of all sections.
0175   Standard_EXPORT void GetMinimalWeight(TColStd_Array1OfReal& Weigths) const Standard_OVERRIDE;
0176 
0177   //! Returns  the number  of  intervals for  continuity
0178   //! <S>. May be one if Continuity(me) >= <S>
0179   Standard_EXPORT Standard_Integer NbIntervals(const GeomAbs_Shape S) const Standard_OVERRIDE;
0180 
0181   //! Stores in <T> the  parameters bounding the intervals
0182   //! of continuity <S>.
0183   //! The array must provide  enough room to  accommodate
0184   //! for the parameters. i.e. T.Length() > NbIntervals()
0185   Standard_EXPORT void Intervals(TColStd_Array1OfReal& T,
0186                                  const GeomAbs_Shape   S) const Standard_OVERRIDE;
0187 
0188   Standard_EXPORT void GetShape(Standard_Integer& NbPoles,
0189                                 Standard_Integer& NbKnots,
0190                                 Standard_Integer& Degree,
0191                                 Standard_Integer& NbPoles2d) Standard_OVERRIDE;
0192 
0193   //! Returns the tolerance to reach in approximation
0194   //! to respect
0195   //! BoundTol error at the Boundary
0196   //! AngleTol tangent error at the Boundary
0197   //! SurfTol error inside the surface.
0198   Standard_EXPORT void GetTolerance(const Standard_Real BoundTol,
0199                                     const Standard_Real SurfTol,
0200                                     const Standard_Real AngleTol,
0201                                     math_Vector&        Tol3d,
0202                                     math_Vector&        Tol1D) const Standard_OVERRIDE;
0203 
0204   Standard_EXPORT void Knots(TColStd_Array1OfReal& TKnots) Standard_OVERRIDE;
0205 
0206   Standard_EXPORT void Mults(TColStd_Array1OfInteger& TMults) Standard_OVERRIDE;
0207 
0208   //! Used for the first and last section
0209   Standard_EXPORT Standard_Boolean Section(const Blend_Point&    P,
0210                                            TColgp_Array1OfPnt&   Poles,
0211                                            TColgp_Array1OfVec&   DPoles,
0212                                            TColgp_Array1OfPnt2d& Poles2d,
0213                                            TColgp_Array1OfVec2d& DPoles2d,
0214                                            TColStd_Array1OfReal& Weigths,
0215                                            TColStd_Array1OfReal& DWeigths) Standard_OVERRIDE;
0216 
0217   Standard_EXPORT void Section(const Blend_Point&    P,
0218                                TColgp_Array1OfPnt&   Poles,
0219                                TColgp_Array1OfPnt2d& Poles2d,
0220                                TColStd_Array1OfReal& Weigths) Standard_OVERRIDE;
0221 
0222   //! Used for the first and last section
0223   //! The method returns Standard_True if the derivatives
0224   //! are computed, otherwise it returns Standard_False.
0225   Standard_EXPORT Standard_Boolean Section(const Blend_Point&    P,
0226                                            TColgp_Array1OfPnt&   Poles,
0227                                            TColgp_Array1OfVec&   DPoles,
0228                                            TColgp_Array1OfVec&   D2Poles,
0229                                            TColgp_Array1OfPnt2d& Poles2d,
0230                                            TColgp_Array1OfVec2d& DPoles2d,
0231                                            TColgp_Array1OfVec2d& D2Poles2d,
0232                                            TColStd_Array1OfReal& Weigths,
0233                                            TColStd_Array1OfReal& DWeigths,
0234                                            TColStd_Array1OfReal& D2Weigths) Standard_OVERRIDE;
0235 
0236   Standard_EXPORT void Resolution(const Standard_Integer IC2d,
0237                                   const Standard_Real    Tol,
0238                                   Standard_Real&         TolU,
0239                                   Standard_Real&         TolV) const Standard_OVERRIDE;
0240 
0241 protected:
0242 private:
0243   Handle(Adaptor3d_Surface)    surf1;
0244   Handle(Adaptor3d_Surface)    surf2;
0245   Handle(Adaptor2d_Curve2d)    rst1;
0246   Handle(Adaptor2d_Curve2d)    rst2;
0247   Adaptor3d_CurveOnSurface     cons1;
0248   Adaptor3d_CurveOnSurface     cons2;
0249   Handle(Adaptor3d_Curve)      guide;
0250   Handle(Adaptor3d_Curve)      tguide;
0251   gp_Pnt                       ptrst1;
0252   gp_Pnt                       ptrst2;
0253   gp_Pnt2d                     pt2drst1;
0254   gp_Pnt2d                     pt2drst2;
0255   Standard_Real                prmrst1;
0256   Standard_Real                prmrst2;
0257   Standard_Boolean             istangent;
0258   gp_Vec                       tgrst1;
0259   gp_Vec2d                     tg2drst1;
0260   gp_Vec                       tgrst2;
0261   gp_Vec2d                     tg2drst2;
0262   Standard_Real                ray;
0263   Standard_Real                dray;
0264   Standard_Integer             choix;
0265   gp_Pnt                       ptgui;
0266   gp_Vec                       d1gui;
0267   gp_Vec                       d2gui;
0268   gp_Vec                       nplan;
0269   Standard_Real                normtg;
0270   Standard_Real                theD;
0271   Handle(Adaptor3d_Surface)    surfref1;
0272   Handle(Adaptor2d_Curve2d)    rstref1;
0273   Handle(Adaptor3d_Surface)    surfref2;
0274   Handle(Adaptor2d_Curve2d)    rstref2;
0275   Standard_Real                maxang;
0276   Standard_Real                minang;
0277   Standard_Real                distmin;
0278   BlendFunc_SectionShape       mySShape;
0279   Convert_ParameterisationType myTConv;
0280   Handle(Law_Function)         tevol;
0281   Handle(Law_Function)         fevol;
0282 };
0283 
0284 #endif // _BRepBlend_RstRstEvolRad_HeaderFile