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0001 // Created on: 1993-12-02
0002 // Created by: Jacques GOUSSARD
0003 // Copyright (c) 1993-1999 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 _BlendFunc_CSConstRad_HeaderFile
0018 #define _BlendFunc_CSConstRad_HeaderFile
0019 
0020 #include <Adaptor3d_Surface.hxx>
0021 #include <gp_Pnt.hxx>
0022 #include <gp_Pnt2d.hxx>
0023 #include <gp_Vec.hxx>
0024 #include <gp_Vec2d.hxx>
0025 #include <BlendFunc_SectionShape.hxx>
0026 #include <Convert_ParameterisationType.hxx>
0027 #include <Blend_CSFunction.hxx>
0028 #include <math_Vector.hxx>
0029 #include <TColgp_Array1OfPnt.hxx>
0030 #include <TColgp_Array1OfVec.hxx>
0031 #include <TColgp_Array1OfPnt2d.hxx>
0032 #include <TColgp_Array1OfVec2d.hxx>
0033 #include <TColStd_Array1OfReal.hxx>
0034 #include <GeomAbs_Shape.hxx>
0035 #include <TColStd_Array1OfInteger.hxx>
0036 
0037 class math_Matrix;
0038 class gp_Circ;
0039 class Blend_Point;
0040 
0041 class BlendFunc_CSConstRad  : public Blend_CSFunction
0042 {
0043 public:
0044 
0045   DEFINE_STANDARD_ALLOC
0046 
0047   
0048   Standard_EXPORT BlendFunc_CSConstRad(const Handle(Adaptor3d_Surface)& S, const Handle(Adaptor3d_Curve)& C, const Handle(Adaptor3d_Curve)& CGuide);
0049   
0050   //! returns the number of equations of the function (3).
0051   Standard_EXPORT Standard_Integer NbEquations() const Standard_OVERRIDE;
0052   
0053   //! computes the values <F> of the Functions for the
0054   //! variable <X>.
0055   //! Returns True if the computation was done successfully,
0056   //! False otherwise.
0057   Standard_EXPORT Standard_Boolean Value (const math_Vector& X, math_Vector& F) Standard_OVERRIDE;
0058   
0059   //! returns the values <D> of the derivatives for the
0060   //! variable <X>.
0061   //! Returns True if the computation was done successfully,
0062   //! False otherwise.
0063   Standard_EXPORT Standard_Boolean Derivatives (const math_Vector& X, math_Matrix& D) Standard_OVERRIDE;
0064   
0065   //! returns the values <F> of the functions and the derivatives
0066   //! <D> for the variable <X>.
0067   //! Returns True if the computation was done successfully,
0068   //! False otherwise.
0069   Standard_EXPORT Standard_Boolean Values (const math_Vector& X, math_Vector& F, math_Matrix& D) Standard_OVERRIDE;
0070   
0071   Standard_EXPORT void Set (const Standard_Real Param) Standard_OVERRIDE;
0072   
0073   Standard_EXPORT void Set (const Standard_Real First, const Standard_Real Last) Standard_OVERRIDE;
0074   
0075   Standard_EXPORT void GetTolerance (math_Vector& Tolerance, const Standard_Real Tol) const Standard_OVERRIDE;
0076   
0077   Standard_EXPORT void GetBounds (math_Vector& InfBound, math_Vector& SupBound) const Standard_OVERRIDE;
0078   
0079   Standard_EXPORT Standard_Boolean IsSolution (const math_Vector& Sol, const Standard_Real Tol) Standard_OVERRIDE;
0080   
0081   Standard_EXPORT const gp_Pnt& PointOnS() const Standard_OVERRIDE;
0082   
0083   Standard_EXPORT const gp_Pnt& PointOnC() const Standard_OVERRIDE;
0084   
0085   //! Returns U,V coordinates of the point on the surface.
0086   Standard_EXPORT const gp_Pnt2d& Pnt2d() const Standard_OVERRIDE;
0087   
0088   //! Returns parameter of the point on the curve.
0089   Standard_EXPORT Standard_Real ParameterOnC() const Standard_OVERRIDE;
0090   
0091   Standard_EXPORT Standard_Boolean IsTangencyPoint() const Standard_OVERRIDE;
0092   
0093   Standard_EXPORT const gp_Vec& TangentOnS() const Standard_OVERRIDE;
0094   
0095   Standard_EXPORT const gp_Vec2d& Tangent2d() const Standard_OVERRIDE;
0096   
0097   Standard_EXPORT const gp_Vec& TangentOnC() const Standard_OVERRIDE;
0098   
0099   //! Returns the tangent vector at the section,
0100   //! at the beginning and the end of the section, and
0101   //! returns the normal (of the surface) at
0102   //! these points.
0103   Standard_EXPORT void Tangent (const Standard_Real U, const Standard_Real V, gp_Vec& TgS, gp_Vec& NormS) const Standard_OVERRIDE;
0104   
0105   Standard_EXPORT void Set (const Standard_Real Radius, const Standard_Integer Choix);
0106   
0107   //! Sets  the  type  of   section generation   for the
0108   //! approximations.
0109   Standard_EXPORT void Set (const BlendFunc_SectionShape TypeSection);
0110   
0111   Standard_EXPORT void Section (const Standard_Real Param, const Standard_Real U, const Standard_Real V, const Standard_Real W, Standard_Real& Pdeb, Standard_Real& Pfin, gp_Circ& C);
0112   
0113   //! Used for the first and last section
0114   //! The method returns Standard_True if the derivatives
0115   //! are computed, otherwise it returns Standard_False.
0116   Standard_EXPORT virtual Standard_Boolean Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfVec& DPoles, TColgp_Array1OfVec& D2Poles, TColgp_Array1OfPnt2d& Poles2d, TColgp_Array1OfVec2d& DPoles2d, TColgp_Array1OfVec2d& D2Poles2d, TColStd_Array1OfReal& Weigths, TColStd_Array1OfReal& DWeigths, TColStd_Array1OfReal& D2Weigths) Standard_OVERRIDE;
0117   
0118   Standard_EXPORT Standard_Boolean GetSection (const Standard_Real Param, const Standard_Real U, const Standard_Real V, const Standard_Real W, TColgp_Array1OfPnt& tabP, TColgp_Array1OfVec& tabV);
0119   
0120   //! Returns  if the section is rationnal
0121   Standard_EXPORT Standard_Boolean IsRational() const Standard_OVERRIDE;
0122   
0123   //! Returns the length of the maximum section
0124   Standard_EXPORT Standard_Real GetSectionSize() const Standard_OVERRIDE;
0125   
0126   //! Compute the minimal value of weight for each poles
0127   //! of all sections.
0128   Standard_EXPORT void GetMinimalWeight (TColStd_Array1OfReal& Weigths) const Standard_OVERRIDE;
0129   
0130   //! Returns  the number  of  intervals for  continuity
0131   //! <S>. May be one if Continuity(me) >= <S>
0132   Standard_EXPORT Standard_Integer NbIntervals (const GeomAbs_Shape S) const Standard_OVERRIDE;
0133   
0134   //! Stores in <T> the  parameters bounding the intervals
0135   //! of continuity <S>.
0136   //! The array must provide  enough room to  accommodate
0137   //! for the parameters. i.e. T.Length() > NbIntervals()
0138   //! raises
0139   //! OutOfRange from Standard
0140   Standard_EXPORT void Intervals (TColStd_Array1OfReal& T, const GeomAbs_Shape S) const Standard_OVERRIDE;
0141   
0142   Standard_EXPORT void GetShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree, Standard_Integer& NbPoles2d) Standard_OVERRIDE;
0143   
0144   //! Returns the tolerance to reach in approximation
0145   //! to respecte
0146   //! BoundTol error at the Boundary
0147   //! AngleTol tangent error at the Boundary
0148   //! SurfTol error inside the surface.
0149   Standard_EXPORT void GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector& Tol3d, math_Vector& Tol1D) const Standard_OVERRIDE;
0150   
0151   Standard_EXPORT void Knots (TColStd_Array1OfReal& TKnots) Standard_OVERRIDE;
0152   
0153   Standard_EXPORT void Mults (TColStd_Array1OfInteger& TMults) Standard_OVERRIDE;
0154   
0155   //! Used for the first and last section
0156   Standard_EXPORT Standard_Boolean Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfVec& DPoles, TColgp_Array1OfPnt2d& Poles2d, TColgp_Array1OfVec2d& DPoles2d, TColStd_Array1OfReal& Weigths, TColStd_Array1OfReal& DWeigths) Standard_OVERRIDE;
0157   
0158   Standard_EXPORT void Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) Standard_OVERRIDE;
0159   
0160   Standard_EXPORT void Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real& TolU, Standard_Real& TolV) const Standard_OVERRIDE;
0161 
0162 
0163 
0164 
0165 protected:
0166 
0167 
0168 
0169 
0170 
0171 private:
0172 
0173 
0174 
0175   Handle(Adaptor3d_Surface) surf;
0176   Handle(Adaptor3d_Curve) curv;
0177   Handle(Adaptor3d_Curve) guide;
0178   gp_Pnt pts;
0179   gp_Pnt ptc;
0180   gp_Pnt2d pt2d;
0181   Standard_Real prmc;
0182   Standard_Boolean istangent;
0183   gp_Vec tgs;
0184   gp_Vec2d tg2d;
0185   gp_Vec tgc;
0186   Standard_Real ray;
0187   Standard_Integer choix;
0188   gp_Pnt ptgui;
0189   gp_Vec d1gui;
0190   gp_Vec d2gui;
0191   gp_Vec nplan;
0192   Standard_Real normtg;
0193   Standard_Real theD;
0194   Standard_Real maxang;
0195   Standard_Real minang;
0196   BlendFunc_SectionShape mySShape;
0197   Convert_ParameterisationType myTConv;
0198 
0199 
0200 };
0201 
0202 
0203 
0204 
0205 
0206 
0207 
0208 #endif // _BlendFunc_CSConstRad_HeaderFile