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1 | // Created by: Jacques GOUSSARD Author: Laurent BOURESCHE -- |
2 | // Copyright (c) 1997-1999 Matra Datavision |
3 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
4 | // |
5 | // This file is part of Open CASCADE Technology software library. |
6 | // |
7 | // This library is free software; you can redistribute it and/or modify it under |
8 | // the terms of the GNU Lesser General Public License version 2.1 as published |
9 | // by the Free Software Foundation, with special exception defined in the file |
10 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT |
11 | // distribution for complete text of the license and disclaimer of any warranty. |
12 | // |
13 | // Alternatively, this file may be used under the terms of Open CASCADE |
14 | // commercial license or contractual agreement. |
15 | |
16 | #ifndef _Blend_RstRstFunction_HeaderFile |
17 | #define _Blend_RstRstFunction_HeaderFile |
18 | |
19 | #include <Standard.hxx> |
20 | #include <Standard_DefineAlloc.hxx> |
21 | #include <Standard_Handle.hxx> |
22 | |
23 | #include <Blend_AppFunction.hxx> |
24 | #include <Standard_Integer.hxx> |
25 | #include <Standard_Boolean.hxx> |
26 | #include <math_Vector.hxx> |
27 | #include <Standard_Real.hxx> |
28 | #include <Blend_DecrochStatus.hxx> |
29 | #include <TColStd_Array1OfReal.hxx> |
30 | #include <GeomAbs_Shape.hxx> |
31 | #include <TColStd_Array1OfInteger.hxx> |
32 | #include <TColgp_Array1OfPnt.hxx> |
33 | #include <TColgp_Array1OfPnt2d.hxx> |
34 | #include <TColgp_Array1OfVec.hxx> |
35 | #include <TColgp_Array1OfVec2d.hxx> |
36 | class Standard_DomainError; |
37 | class math_Matrix; |
38 | class gp_Pnt; |
39 | class gp_Pnt2d; |
40 | class gp_Vec; |
41 | class gp_Vec2d; |
42 | class Blend_Point; |
43 | |
44 | |
45 | //! Deferred class for a function used to compute a blending |
46 | //! surface between a surface and a pcurve on an other Surface, |
47 | //! using a guide line. |
48 | //! The vector <X> used in Value, Values and Derivatives methods |
49 | //! may be the vector of the parametric coordinates U,V, |
50 | //! W of the extremities of a section on the surface and |
51 | //! the curve. |
52 | class Blend_RstRstFunction : public Blend_AppFunction |
53 | { |
54 | public: |
55 | |
56 | DEFINE_STANDARD_ALLOC |
57 | |
58 | |
59 | //! Returns 2 (default value). Can be redefined. |
60 | Standard_EXPORT virtual Standard_Integer NbVariables() const = 0; |
61 | |
62 | //! returns the number of equations of the function. |
63 | Standard_EXPORT virtual Standard_Integer NbEquations() const = 0; |
64 | |
65 | //! computes the values <F> of the Functions for the |
66 | //! variable <X>. |
67 | //! Returns True if the computation was done successfully, |
68 | //! False otherwise. |
69 | Standard_EXPORT virtual Standard_Boolean Value (const math_Vector& X, math_Vector& F) = 0; |
70 | |
71 | //! returns the values <D> of the derivatives for the |
72 | //! variable <X>. |
73 | //! Returns True if the computation was done successfully, |
74 | //! False otherwise. |
75 | Standard_EXPORT virtual Standard_Boolean Derivatives (const math_Vector& X, math_Matrix& D) = 0; |
76 | |
77 | //! returns the values <F> of the functions and the derivatives |
78 | //! <D> for the variable <X>. |
79 | //! Returns True if the computation was done successfully, |
80 | //! False otherwise. |
81 | Standard_EXPORT virtual Standard_Boolean Values (const math_Vector& X, math_Vector& F, math_Matrix& D) = 0; |
82 | |
83 | //! Sets the value of the parameter along the guide line. |
84 | //! This determines the plane in which the solution has |
85 | //! to be found. |
86 | Standard_EXPORT virtual void Set (const Standard_Real Param) = 0; |
87 | |
88 | //! Sets the bounds of the parametric interval on |
89 | //! the guide line. |
90 | //! This determines the derivatives in these values if the |
91 | //! function is not Cn. |
92 | Standard_EXPORT virtual void Set (const Standard_Real First, const Standard_Real Last) = 0; |
93 | |
94 | //! Returns in the vector Tolerance the parametric tolerance |
95 | //! for each variable; |
96 | //! Tol is the tolerance used in 3d space. |
97 | Standard_EXPORT virtual void GetTolerance (math_Vector& Tolerance, const Standard_Real Tol) const = 0; |
98 | |
99 | //! Returns in the vector InfBound the lowest values allowed |
100 | //! for each variables. |
101 | //! Returns in the vector SupBound the greatest values allowed |
102 | //! for each of the 3 variables. |
103 | Standard_EXPORT virtual void GetBounds (math_Vector& InfBound, math_Vector& SupBound) const = 0; |
104 | |
105 | //! Returns Standard_True if Sol is a zero of the function. |
106 | //! Tol is the tolerance used in 3d space. |
107 | //! The computation is made at the current value of |
108 | //! the parameter on the guide line. |
109 | Standard_EXPORT virtual Standard_Boolean IsSolution (const math_Vector& Sol, const Standard_Real Tol) = 0; |
110 | |
111 | //! Returns the minimal Distance beetween two |
112 | //! extremitys of calculed sections. |
113 | Standard_EXPORT Standard_Real GetMinimalDistance() const; |
114 | |
115 | //! Returns the point on the first support. |
116 | Standard_EXPORT const gp_Pnt& Pnt1() const; |
117 | |
118 | //! Returns the point on the seconde support. |
119 | Standard_EXPORT const gp_Pnt& Pnt2() const; |
120 | |
121 | //! Returns the point on the surface. |
122 | Standard_EXPORT virtual const gp_Pnt& PointOnRst1() const = 0; |
123 | |
124 | //! Returns the point on the curve. |
125 | Standard_EXPORT virtual const gp_Pnt& PointOnRst2() const = 0; |
126 | |
127 | //! Returns U,V coordinates of the point on the surface. |
128 | Standard_EXPORT virtual const gp_Pnt2d& Pnt2dOnRst1() const = 0; |
129 | |
130 | //! Returns U,V coordinates of the point on the curve on |
131 | //! surface. |
132 | Standard_EXPORT virtual const gp_Pnt2d& Pnt2dOnRst2() const = 0; |
133 | |
134 | //! Returns parameter of the point on the curve. |
135 | Standard_EXPORT virtual Standard_Real ParameterOnRst1() const = 0; |
136 | |
137 | //! Returns parameter of the point on the curve. |
138 | Standard_EXPORT virtual Standard_Real ParameterOnRst2() const = 0; |
139 | |
140 | //! Returns True when it is not possible to compute |
141 | //! the tangent vectors at PointOnS and/or PointOnRst. |
142 | Standard_EXPORT virtual Standard_Boolean IsTangencyPoint() const = 0; |
143 | |
144 | //! Returns the tangent vector at PointOnS, in 3d space. |
145 | Standard_EXPORT virtual const gp_Vec& TangentOnRst1() const = 0; |
146 | |
147 | //! Returns the tangent vector at PointOnS, in the |
148 | //! parametric space of the first surface. |
149 | Standard_EXPORT virtual const gp_Vec2d& Tangent2dOnRst1() const = 0; |
150 | |
151 | //! Returns the tangent vector at PointOnC, in 3d space. |
152 | Standard_EXPORT virtual const gp_Vec& TangentOnRst2() const = 0; |
153 | |
154 | //! Returns the tangent vector at PointOnRst, in the |
155 | //! parametric space of the second surface. |
156 | Standard_EXPORT virtual const gp_Vec2d& Tangent2dOnRst2() const = 0; |
157 | |
158 | //! Enables to implement a criterion of decrochage |
159 | //! specific to the function. |
160 | //! Warning: Can be called without previous call of issolution |
161 | //! but the values calculated can be senseless. |
162 | Standard_EXPORT virtual Blend_DecrochStatus Decroch (const math_Vector& Sol, gp_Vec& NRst1, gp_Vec& TgRst1, gp_Vec& NRst2, gp_Vec& TgRst2) const = 0; |
163 | |
164 | //! Returns if the section is rationnal |
165 | Standard_EXPORT virtual Standard_Boolean IsRational() const = 0; |
166 | |
167 | //! Returns the length of the maximum section |
168 | Standard_EXPORT virtual Standard_Real GetSectionSize() const = 0; |
169 | |
170 | //! Compute the minimal value of weight for each poles |
171 | //! of all sections. |
172 | Standard_EXPORT virtual void GetMinimalWeight (TColStd_Array1OfReal& Weigths) const = 0; |
173 | |
174 | //! Returns the number of intervals for continuity |
175 | //! <S>. May be one if Continuity(me) >= <S> |
176 | Standard_EXPORT virtual Standard_Integer NbIntervals (const GeomAbs_Shape S) const = 0; |
177 | |
178 | //! Stores in <T> the parameters bounding the intervals |
179 | //! of continuity <S>. |
180 | //! |
181 | //! The array must provide enough room to accomodate |
182 | //! for the parameters. i.e. T.Length() > NbIntervals() |
183 | Standard_EXPORT virtual void Intervals (TColStd_Array1OfReal& T, const GeomAbs_Shape S) const = 0; |
184 | |
185 | Standard_EXPORT virtual void GetShape (Standard_Integer& NbPoles, Standard_Integer& NbKnots, Standard_Integer& Degree, Standard_Integer& NbPoles2d) = 0; |
186 | |
187 | //! Returns the tolerance to reach in approximation |
188 | //! to respecte |
189 | //! BoundTol error at the Boundary |
190 | //! AngleTol tangent error at the Boundary |
191 | //! SurfTol error inside the surface. |
192 | Standard_EXPORT virtual void GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector& Tol3d, math_Vector& Tol1D) const = 0; |
193 | |
194 | Standard_EXPORT virtual void Knots (TColStd_Array1OfReal& TKnots) = 0; |
195 | |
196 | Standard_EXPORT virtual void Mults (TColStd_Array1OfInteger& TMults) = 0; |
197 | |
198 | Standard_EXPORT virtual void Section (const Blend_Point& P, TColgp_Array1OfPnt& Poles, TColgp_Array1OfPnt2d& Poles2d, TColStd_Array1OfReal& Weigths) = 0; |
199 | |
200 | //! Used for the first and last section |
201 | //! The method returns Standard_True if the derivatives |
202 | //! are computed, otherwise it returns Standard_False. |
203 | 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) = 0; |
204 | |
205 | //! Used for the first and last section |
206 | //! The method returns Standard_True if the derivatives |
207 | //! are computed, otherwise it returns Standard_False. |
208 | 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) = 0; |
209 | |
210 | |
211 | |
212 | |
213 | protected: |
214 | |
215 | |
216 | |
217 | |
218 | |
219 | private: |
220 | |
221 | |
222 | |
223 | |
224 | |
225 | }; |
226 | |
227 | |
228 | |
229 | |
230 | |
231 | |
232 | |
233 | #endif // _Blend_RstRstFunction_HeaderFile |