include/opencascade/BlendFunc_ConstRad.hxx

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_ConstRad_HeaderFile
0018 #define _BlendFunc_ConstRad_HeaderFile
0019
0020 #include <Adaptor3d_Surface.hxx>
0021 #include <gp_Pnt.hxx>
0022 #include <gp_Vec.hxx>
0023 #include <gp_Vec2d.hxx>
0024 #include <math_Matrix.hxx>
0025 #include <BlendFunc_Tensor.hxx>
0026 #include <BlendFunc_SectionShape.hxx>
0027 #include <Convert_ParameterisationType.hxx>
0028 #include <Blend_Function.hxx>
0029 #include <TColStd_Array1OfReal.hxx>
0030 #include <GeomAbs_Shape.hxx>
0031 #include <TColStd_Array1OfInteger.hxx>
0032 #include <TColgp_Array1OfPnt.hxx>
0033 #include <TColgp_Array1OfVec.hxx>
0034 #include <TColgp_Array1OfPnt2d.hxx>
0035 #include <TColgp_Array1OfVec2d.hxx>
0036
0037 class gp_Circ;
0038 class Blend_Point;
0039 class gp_Ax1;
0040
0041 class BlendFunc_ConstRad  : public Blend_Function
0042 {
0043 public:
0044
0045   DEFINE_STANDARD_ALLOC
0046
0047
0048   Standard_EXPORT BlendFunc_ConstRad(const Handle(Adaptor3d_Surface)& S1, const Handle(Adaptor3d_Surface)& S2, const Handle(Adaptor3d_Curve)& C);
0049
0050   //! returns the number of equations of the function.
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   //! Returns   the    minimal  Distance  between   two
0082   //! extremities of calculated sections.
0083   Standard_EXPORT Standard_Real GetMinimalDistance() const Standard_OVERRIDE;
0084
0085   Standard_EXPORT const gp_Pnt& PointOnS1() const Standard_OVERRIDE;
0086
0087   Standard_EXPORT const gp_Pnt& PointOnS2() const Standard_OVERRIDE;
0088
0089   Standard_EXPORT Standard_Boolean IsTangencyPoint() const Standard_OVERRIDE;
0090
0091   Standard_EXPORT const gp_Vec& TangentOnS1() const Standard_OVERRIDE;
0092
0093   Standard_EXPORT const gp_Vec2d& Tangent2dOnS1() const Standard_OVERRIDE;
0094
0095   Standard_EXPORT const gp_Vec& TangentOnS2() const Standard_OVERRIDE;
0096
0097   Standard_EXPORT const gp_Vec2d& Tangent2dOnS2() 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 surfaces) at
0102   //! these points.
0103   Standard_EXPORT void Tangent (const Standard_Real U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2, gp_Vec& TgFirst, gp_Vec& TgLast, gp_Vec& NormFirst, gp_Vec& NormLast) const Standard_OVERRIDE;
0104
0105   Standard_EXPORT virtual Standard_Boolean TwistOnS1() const Standard_OVERRIDE;
0106
0107   Standard_EXPORT virtual Standard_Boolean TwistOnS2() const Standard_OVERRIDE;
0108
0109   //! Inits the value of radius, and the "quadrant".
0110   Standard_EXPORT void Set (const Standard_Real Radius, const Standard_Integer Choix);
0111
0112   //! Sets  the  type  of   section generation   for the
0113   //! approximations.
0114   Standard_EXPORT void Set (const BlendFunc_SectionShape TypeSection);
0115
0116   //! Utile pour une visu rapide et approximative de la surface.
0117   Standard_EXPORT void Section (const Standard_Real Param, const Standard_Real U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2, Standard_Real& Pdeb, Standard_Real& Pfin, gp_Circ& C);
0118
0119   //! Returns  if the section is rationnal
0120   Standard_EXPORT Standard_Boolean IsRational() const Standard_OVERRIDE;
0121
0122   //! Returns the length of the maximum section
0123   Standard_EXPORT Standard_Real GetSectionSize() const Standard_OVERRIDE;
0124
0125   //! Compute the minimal value of weight for each poles
0126   //! of all sections.
0127   Standard_EXPORT void GetMinimalWeight (TColStd_Array1OfReal& Weigths) const Standard_OVERRIDE;
0128
0129   //! Returns  the number  of  intervals for  continuity
0130   //! <S>. May be one if Continuity(me) >= <S>
0131   Standard_EXPORT Standard_Integer NbIntervals (const GeomAbs_Shape S) const Standard_OVERRIDE;
0132
0133   //! Stores in <T> the  parameters bounding the intervals
0134   //! of continuity <S>.
0135   //!
0136   //! The array must provide  enough room to  accommodate
0137   //! for the parameters. i.e. T.Length() > NbIntervals()
0138   Standard_EXPORT void Intervals (TColStd_Array1OfReal& T, const GeomAbs_Shape S) const Standard_OVERRIDE;
0139
0140   Standard_EXPORT void GetShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree, Standard_Integer& NbPoles2d) Standard_OVERRIDE;
0141
0142   //! Returns the tolerance to reach in approximation
0143   //! to respecte
0144   //! BoundTol error at the Boundary
0145   //! AngleTol tangent error at the Boundary
0146   //! SurfTol error inside the surface.
0147   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;
0148
0149   Standard_EXPORT void Knots (TColStd_Array1OfReal& TKnots) Standard_OVERRIDE;
0150
0151   Standard_EXPORT void Mults (TColStd_Array1OfInteger& TMults) Standard_OVERRIDE;
0152
0153   //! Used for the first and last section
0154   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;
0155
0156   //! Used for the first and last section
0157   Standard_EXPORT virtual 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;
0158
0159   Standard_EXPORT void Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) Standard_OVERRIDE;
0160
0161   Standard_EXPORT gp_Ax1 AxeRot (const Standard_Real Prm);
0162
0163   Standard_EXPORT void Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real& TolU, Standard_Real& TolV) const Standard_OVERRIDE;
0164
0165
0166
0167
0168 protected:
0169
0170
0171
0172
0173
0174 private:
0175
0176
0177   Standard_EXPORT Standard_Boolean ComputeValues (const math_Vector& X, const Standard_Integer Order, const Standard_Boolean ByParam = Standard_False, const Standard_Real Param = 0);
0178
0179
0180   Handle(Adaptor3d_Surface) surf1;
0181   Handle(Adaptor3d_Surface) surf2;
0182   Handle(Adaptor3d_Curve) curv;
0183   Handle(Adaptor3d_Curve) tcurv;
0184   gp_Pnt pts1;
0185   gp_Pnt pts2;
0186   Standard_Boolean istangent;
0187   gp_Vec tg1;
0188   gp_Vec2d tg12d;
0189   gp_Vec tg2;
0190   gp_Vec2d tg22d;
0191   Standard_Real param;
0192   Standard_Real ray1;
0193   Standard_Real ray2;
0194   Standard_Integer choix;
0195   Standard_Integer myXOrder;
0196   Standard_Integer myTOrder;
0197   math_Vector xval;
0198   Standard_Real tval;
0199   gp_Vec d1u1;
0200   gp_Vec d1u2;
0201   gp_Vec d1v1;
0202   gp_Vec d1v2;
0203   gp_Vec d2u1;
0204   gp_Vec d2v1;
0205   gp_Vec d2uv1;
0206   gp_Vec d2u2;
0207   gp_Vec d2v2;
0208   gp_Vec d2uv2;
0209   gp_Vec dn1w;
0210   gp_Vec dn2w;
0211   gp_Vec d2n1w;
0212   gp_Vec d2n2w;
0213   gp_Vec nplan;
0214   gp_Vec nsurf1;
0215   gp_Vec dns1u1;
0216   gp_Vec dns1u2;
0217   gp_Vec dns1v1;
0218   gp_Vec dns1v2;
0219   gp_Vec nsurf2;
0220   gp_Vec dnplan;
0221   gp_Vec d2nplan;
0222   gp_Vec dnsurf1;
0223   gp_Vec dnsurf2;
0224   gp_Vec dndu1;
0225   gp_Vec dndu2;
0226   gp_Vec dndv1;
0227   gp_Vec dndv2;
0228   gp_Vec d2ndu1;
0229   gp_Vec d2ndu2;
0230   gp_Vec d2ndv1;
0231   gp_Vec d2ndv2;
0232   gp_Vec d2nduv1;
0233   gp_Vec d2nduv2;
0234   gp_Vec d2ndtu1;
0235   gp_Vec d2ndtu2;
0236   gp_Vec d2ndtv1;
0237   gp_Vec d2ndtv2;
0238   math_Vector E;
0239   math_Matrix DEDX;
0240   math_Vector DEDT;
0241   BlendFunc_Tensor D2EDX2;
0242   math_Matrix D2EDXDT;
0243   math_Vector D2EDT2;
0244   Standard_Real maxang;
0245   Standard_Real minang;
0246   Standard_Real distmin;
0247   BlendFunc_SectionShape mySShape;
0248   Convert_ParameterisationType myTConv;
0249
0250
0251 };
0252
0253
0254
0255
0256
0257
0258
0259 #endif // _BlendFunc_ConstRad_HeaderFile