1 // Created on: 1995-01-04
2 // Created by: Jacques GOUSSARD
3 // Copyright (c) 1995-1999 Matra Datavision
4 // Copyright (c) 1999-2014 OPEN CASCADE SAS
6 // This file is part of Open CASCADE Technology software library.
8 // This library is free software; you can redistribute it and/or modify it under
9 // the terms of the GNU Lesser General Public License version 2.1 as published
10 // by the Free Software Foundation, with special exception defined in the file
11 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
12 // distribution for complete text of the license and disclaimer of any warranty.
14 // Alternatively, this file may be used under the terms of Open CASCADE
15 // commercial license or contractual agreement.
17 #ifndef _BlendFunc_CSCircular_HeaderFile
18 #define _BlendFunc_CSCircular_HeaderFile
20 #include <Standard.hxx>
21 #include <Standard_DefineAlloc.hxx>
22 #include <Standard_Handle.hxx>
25 #include <gp_Pnt2d.hxx>
26 #include <Standard_Real.hxx>
27 #include <Standard_Boolean.hxx>
29 #include <gp_Vec2d.hxx>
30 #include <Standard_Integer.hxx>
31 #include <BlendFunc_SectionShape.hxx>
32 #include <Convert_ParameterisationType.hxx>
33 #include <Blend_CSFunction.hxx>
34 #include <math_Vector.hxx>
35 #include <TColgp_Array1OfPnt.hxx>
36 #include <TColgp_Array1OfVec.hxx>
37 #include <TColgp_Array1OfPnt2d.hxx>
38 #include <TColgp_Array1OfVec2d.hxx>
39 #include <TColStd_Array1OfReal.hxx>
40 #include <GeomAbs_Shape.hxx>
41 #include <TColStd_Array1OfInteger.hxx>
42 class Adaptor3d_HSurface;
43 class Adaptor3d_HCurve;
55 class BlendFunc_CSCircular : public Blend_CSFunction
62 //! Creates a function for a circular blending between
63 //! a curve <C> and a surface <S>. The direction of
64 //! the planes are given by <CGuide>. The position of
65 //! the plane is determined on the curve <C>. <L>
66 //! defines the change of parameter between <C> and
67 //! <CGuide>. So, the planes are defined as described
69 //! t is the current parameter on the guide line.
70 //! Pguide = C(L(t)); Nguide = CGuide'(t)/||CGuide'(t)||
71 Standard_EXPORT BlendFunc_CSCircular(const Handle(Adaptor3d_HSurface)& S, const Handle(Adaptor3d_HCurve)& C, const Handle(Adaptor3d_HCurve)& CGuide, const Handle(Law_Function)& L);
73 Standard_EXPORT virtual Standard_Integer NbVariables() const Standard_OVERRIDE;
75 //! returns the number of equations of the function (3).
76 Standard_EXPORT Standard_Integer NbEquations() const Standard_OVERRIDE;
78 //! computes the values <F> of the Functions for the
80 //! Returns True if the computation was done successfully,
82 Standard_EXPORT Standard_Boolean Value (const math_Vector& X, math_Vector& F) Standard_OVERRIDE;
84 //! returns the values <D> of the derivatives for the
86 //! Returns True if the computation was done successfully,
88 Standard_EXPORT Standard_Boolean Derivatives (const math_Vector& X, math_Matrix& D) Standard_OVERRIDE;
90 //! returns the values <F> of the functions and the derivatives
91 //! <D> for the variable <X>.
92 //! Returns True if the computation was done successfully,
94 Standard_EXPORT Standard_Boolean Values (const math_Vector& X, math_Vector& F, math_Matrix& D) Standard_OVERRIDE;
96 Standard_EXPORT void Set (const Standard_Real Param) Standard_OVERRIDE;
98 Standard_EXPORT void Set (const Standard_Real First, const Standard_Real Last) Standard_OVERRIDE;
100 Standard_EXPORT void GetTolerance (math_Vector& Tolerance, const Standard_Real Tol) const Standard_OVERRIDE;
102 Standard_EXPORT void GetBounds (math_Vector& InfBound, math_Vector& SupBound) const Standard_OVERRIDE;
104 Standard_EXPORT Standard_Boolean IsSolution (const math_Vector& Sol, const Standard_Real Tol) Standard_OVERRIDE;
106 Standard_EXPORT const gp_Pnt& PointOnS() const Standard_OVERRIDE;
108 Standard_EXPORT const gp_Pnt& PointOnC() const Standard_OVERRIDE;
110 //! Returns U,V coordinates of the point on the surface.
111 Standard_EXPORT const gp_Pnt2d& Pnt2d() const Standard_OVERRIDE;
113 //! Returns parameter of the point on the curve.
114 Standard_EXPORT Standard_Real ParameterOnC() const Standard_OVERRIDE;
116 Standard_EXPORT Standard_Boolean IsTangencyPoint() const Standard_OVERRIDE;
118 Standard_EXPORT const gp_Vec& TangentOnS() const Standard_OVERRIDE;
120 Standard_EXPORT const gp_Vec2d& Tangent2d() const Standard_OVERRIDE;
122 Standard_EXPORT const gp_Vec& TangentOnC() const Standard_OVERRIDE;
124 //! Returns the tangent vector at the section,
125 //! at the beginning and the end of the section, and
126 //! returns the normal (of the surface) at
128 Standard_EXPORT void Tangent (const Standard_Real U, const Standard_Real V, gp_Vec& TgS, gp_Vec& NormS) const Standard_OVERRIDE;
130 Standard_EXPORT void Set (const Standard_Real Radius, const Standard_Integer Choix);
132 //! Sets the type of section generation for the
134 Standard_EXPORT void Set (const BlendFunc_SectionShape TypeSection);
136 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);
138 //! Used for the first and last section
139 //! The method returns Standard_True if the derivatives
140 //! are computed, otherwise it returns Standard_False.
141 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;
143 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);
145 //! Returns if the section is rationnal
146 Standard_EXPORT Standard_Boolean IsRational() const Standard_OVERRIDE;
148 //! Returns the length of the maximum section
149 Standard_EXPORT Standard_Real GetSectionSize() const Standard_OVERRIDE;
151 //! Compute the minimal value of weight for each poles
153 Standard_EXPORT void GetMinimalWeight (TColStd_Array1OfReal& Weigths) const Standard_OVERRIDE;
155 //! Returns the number of intervals for continuity
156 //! <S>. May be one if Continuity(me) >= <S>
157 Standard_EXPORT Standard_Integer NbIntervals (const GeomAbs_Shape S) const Standard_OVERRIDE;
159 //! Stores in <T> the parameters bounding the intervals
160 //! of continuity <S>.
162 //! The array must provide enough room to accommodate
163 //! for the parameters. i.e. T.Length() > NbIntervals()
165 //! OutOfRange from Standard
166 Standard_EXPORT void Intervals (TColStd_Array1OfReal& T, const GeomAbs_Shape S) const Standard_OVERRIDE;
168 Standard_EXPORT void GetShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree, Standard_Integer& NbPoles2d) Standard_OVERRIDE;
170 //! Returns the tolerance to reach in approximation
172 //! BoundTol error at the Boundary
173 //! AngleTol tangent error at the Boundary
174 //! SurfTol error inside the surface.
175 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;
177 Standard_EXPORT void Knots (TColStd_Array1OfReal& TKnots) Standard_OVERRIDE;
179 Standard_EXPORT void Mults (TColStd_Array1OfInteger& TMults) Standard_OVERRIDE;
181 //! Used for the first and last section
182 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;
184 Standard_EXPORT void Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) Standard_OVERRIDE;
186 Standard_EXPORT void Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real& TolU, Standard_Real& TolV) const Standard_OVERRIDE;
201 Handle(Adaptor3d_HSurface) surf;
202 Handle(Adaptor3d_HCurve) curv;
203 Handle(Adaptor3d_HCurve) guide;
204 Handle(Law_Function) law;
210 Standard_Boolean istangent;
215 Standard_Integer choix;
219 Standard_Real normtg;
220 Standard_Real maxang;
221 Standard_Real minang;
222 BlendFunc_SectionShape mySShape;
223 Convert_ParameterisationType myTConv;
234 #endif // _BlendFunc_CSCircular_HeaderFile