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1 | // Created on: 1996-06-06 |
2 | // Created by: Stagiaire Xuan Trang PHAMPHU |
3 | // Copyright (c) 1996-1999 Matra Datavision |
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4 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
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5 | // |
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6 | // This file is part of Open CASCADE Technology software library. |
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7 | // |
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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 |
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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. |
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13 | // |
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14 | // Alternatively, this file may be used under the terms of Open CASCADE |
15 | // commercial license or contractual agreement. |
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16 | |
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17 | |
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18 | #include <Adaptor2d_HCurve2d.hxx> |
19 | #include <Adaptor3d_HCurve.hxx> |
20 | #include <Adaptor3d_HSurface.hxx> |
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21 | #include <BlendFunc.hxx> |
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22 | #include <BlendFunc_ChamfInv.hxx> |
23 | #include <math_Matrix.hxx> |
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24 | #include <Precision.hxx> |
25 | |
26 | //======================================================================= |
27 | //function : BlendFunc_ChamfInv |
28 | //purpose : |
29 | //======================================================================= |
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30 | BlendFunc_ChamfInv::BlendFunc_ChamfInv(const Handle(Adaptor3d_HSurface)& S1, |
31 | const Handle(Adaptor3d_HSurface)& S2, |
32 | const Handle(Adaptor3d_HCurve)& C) : |
33 | surf1(S1),surf2(S2),curv(C),corde1(surf1,curv),corde2(surf2,curv) |
34 | { |
35 | } |
36 | |
37 | |
38 | //======================================================================= |
39 | //function : Set |
40 | //purpose : |
41 | //======================================================================= |
42 | |
43 | void BlendFunc_ChamfInv::Set(const Standard_Real Dist1, const Standard_Real Dist2, |
44 | const Standard_Integer Choix) |
45 | { |
46 | Standard_Real dis1,dis2; |
47 | |
48 | choix = Choix; |
49 | switch (choix) { |
50 | case 1: |
51 | case 2: |
52 | { |
53 | dis1 = -Dist1; |
54 | dis2 = -Dist2; |
55 | } |
56 | break; |
57 | case 3: |
58 | case 4: |
59 | { |
60 | dis1 = Dist1; |
61 | dis2 = -Dist2; |
62 | } |
63 | break; |
64 | case 5: |
65 | case 6: |
66 | { |
67 | dis1 = Dist1; |
68 | dis2 = Dist2; |
69 | } |
70 | break; |
71 | case 7: |
72 | case 8: |
73 | { |
74 | dis1 = -Dist1; |
75 | dis2 = Dist2; |
76 | } |
77 | break; |
78 | default: |
79 | dis1 = -Dist1; |
80 | dis2 = -Dist2; |
81 | } |
82 | corde1.SetDist(dis1); |
83 | corde2.SetDist(dis2); |
84 | } |
85 | |
86 | //======================================================================= |
87 | //function : NbEquations |
88 | //purpose : |
89 | //======================================================================= |
90 | |
91 | Standard_Integer BlendFunc_ChamfInv::NbEquations () const |
92 | { |
93 | return 4; |
94 | } |
95 | |
96 | //======================================================================= |
97 | //function : GetTolerance |
98 | //purpose : |
99 | //======================================================================= |
100 | |
101 | void BlendFunc_ChamfInv::Set(const Standard_Boolean OnFirst, const Handle(Adaptor2d_HCurve2d)& C) |
102 | { |
103 | first = OnFirst; |
104 | csurf = C; |
105 | } |
106 | |
107 | //======================================================================= |
108 | //function : GetTolerance |
109 | //purpose : |
110 | //======================================================================= |
111 | |
112 | void BlendFunc_ChamfInv::GetTolerance(math_Vector& Tolerance, const Standard_Real Tol) const |
113 | { |
114 | Tolerance(1) = csurf->Resolution(Tol); |
115 | Tolerance(2) = curv->Resolution(Tol); |
116 | if (first) { |
117 | Tolerance(3) = surf2->UResolution(Tol); |
118 | Tolerance(4) = surf2->VResolution(Tol); |
119 | } |
120 | else { |
121 | Tolerance(3) = surf1->UResolution(Tol); |
122 | Tolerance(4) = surf1->VResolution(Tol); |
123 | } |
124 | } |
125 | |
126 | |
127 | //======================================================================= |
128 | //function : GetBounds |
129 | //purpose : |
130 | //======================================================================= |
131 | |
132 | void BlendFunc_ChamfInv::GetBounds(math_Vector& InfBound, math_Vector& SupBound) const |
133 | { |
134 | InfBound(1) = csurf->FirstParameter(); |
135 | InfBound(2) = curv->FirstParameter(); |
136 | SupBound(1) = csurf->LastParameter(); |
137 | SupBound(2) = curv->LastParameter(); |
138 | |
139 | if (first) { |
140 | InfBound(3) = surf2->FirstUParameter(); |
141 | InfBound(4) = surf2->FirstVParameter(); |
142 | SupBound(3) = surf2->LastUParameter(); |
143 | SupBound(4) = surf2->LastVParameter(); |
144 | if(!Precision::IsInfinite(InfBound(3)) && |
145 | !Precision::IsInfinite(SupBound(3))) { |
146 | const Standard_Real range = (SupBound(3) - InfBound(3)); |
147 | InfBound(3) -= range; |
148 | SupBound(3) += range; |
149 | } |
150 | if(!Precision::IsInfinite(InfBound(4)) && |
151 | !Precision::IsInfinite(SupBound(4))) { |
152 | const Standard_Real range = (SupBound(4) - InfBound(4)); |
153 | InfBound(4) -= range; |
154 | SupBound(4) += range; |
155 | } |
156 | } |
157 | else { |
158 | InfBound(3) = surf1->FirstUParameter(); |
159 | InfBound(4) = surf1->FirstVParameter(); |
160 | SupBound(3) = surf1->LastUParameter(); |
161 | SupBound(4) = surf1->LastVParameter(); |
162 | if(!Precision::IsInfinite(InfBound(3)) && |
163 | !Precision::IsInfinite(SupBound(3))) { |
164 | const Standard_Real range = (SupBound(3) - InfBound(3)); |
165 | InfBound(3) -= range; |
166 | SupBound(3) += range; |
167 | } |
168 | if(!Precision::IsInfinite(InfBound(4)) && |
169 | !Precision::IsInfinite(SupBound(4))) { |
170 | const Standard_Real range = (SupBound(4) - InfBound(4)); |
171 | InfBound(4) -= range; |
172 | SupBound(4) += range; |
173 | } |
174 | } |
175 | } |
176 | |
177 | //======================================================================= |
178 | //function : IsSolution |
179 | //purpose : |
180 | //======================================================================= |
181 | |
182 | Standard_Boolean BlendFunc_ChamfInv::IsSolution(const math_Vector& Sol, const Standard_Real Tol) |
183 | { |
184 | gp_Pnt2d p2d; |
185 | gp_Vec2d v2d; |
186 | csurf->D1(Sol(1),p2d,v2d); |
187 | |
188 | math_Vector Sol1(1,2), Sol2(1,2); |
189 | Standard_Boolean issol; |
190 | |
191 | Sol1(1) = p2d.X(); |
192 | Sol1(2) = p2d.Y(); |
193 | |
194 | Sol2(1) = Sol(3); |
195 | Sol2(2) = Sol(4); |
196 | |
197 | if( first ){ |
198 | issol = corde1.IsSolution(Sol1,Tol); |
199 | issol = issol && corde2.IsSolution(Sol2,Tol); |
200 | } |
201 | else{ |
202 | issol = corde1.IsSolution(Sol2,Tol); |
203 | issol = issol && corde2.IsSolution(Sol1,Tol); |
204 | } |
205 | |
206 | return issol; |
207 | |
208 | } |
209 | |
210 | |
211 | //======================================================================= |
212 | //function : Value |
213 | //purpose : |
214 | //======================================================================= |
215 | |
216 | Standard_Boolean BlendFunc_ChamfInv::Value(const math_Vector& X, math_Vector& F) |
217 | { |
218 | gp_Pnt2d p2d; |
219 | gp_Vec2d v2d; |
220 | csurf->D1(X(1),p2d,v2d); |
221 | corde1.SetParam(X(2)); |
222 | corde2.SetParam(X(2)); |
223 | |
224 | math_Vector x1(1,2), f1(1,2), x2(1,2), f2(1,2); |
225 | x1(1) = p2d.X(); x1(2) = p2d.Y(); |
226 | x2(1) = X(3); x2(2) = X(4); |
227 | |
228 | if(first){ |
229 | corde1.Value(x1,f1); |
230 | corde2.Value(x2,f2); |
231 | } |
232 | |
233 | else{ |
234 | corde1.Value(x2,f1); |
235 | corde2.Value(x1,f2); |
236 | } |
237 | F(1) = f1(1); |
238 | F(2) = f1(2); |
239 | F(3) = f2(1); |
240 | F(4) = f2(2); |
241 | |
242 | return Standard_True; |
243 | } |
244 | |
245 | //======================================================================= |
246 | //function : Derivatives |
247 | //purpose : |
248 | //======================================================================= |
249 | |
250 | Standard_Boolean BlendFunc_ChamfInv::Derivatives(const math_Vector& X, math_Matrix& D) |
251 | { |
252 | Standard_Integer i, j; |
253 | gp_Pnt2d p2d; |
254 | gp_Vec2d v2d, df1, df2; |
255 | gp_Pnt pts, ptgui; |
256 | gp_Vec temp, d1u, d1v, nplan; |
257 | math_Vector x1(1,2), x2(1,2); |
258 | math_Matrix d1(1,2,1,2), d2(1,2,1,2); |
259 | |
260 | csurf->D1(X(1),p2d,v2d); |
261 | corde1.SetParam(X(2)); |
262 | corde2.SetParam(X(2)); |
263 | |
264 | x1(1) = p2d.X(); x1(2) = p2d.Y(); |
265 | x2(1) = X(3); x2(2) = X(4); |
266 | |
267 | if( first ){ |
268 | // p2d = pts est sur surf1 |
269 | ptgui = corde1.PointOnGuide(); |
270 | nplan = corde1.NPlan(); |
271 | corde2.Derivatives(x2,d2); |
272 | corde1.DerFguide(x1,df1); |
273 | corde2.DerFguide(x2,df2); |
274 | surf1->D1(x1(1),x1(2),pts,d1u,d1v); |
275 | } |
276 | else{ |
277 | // p2d = pts est sur surf2 |
278 | ptgui = corde2.PointOnGuide(); |
279 | nplan = corde2.NPlan(); |
280 | corde1.Derivatives(x2,d1); |
281 | corde1.DerFguide(x2,df1); |
282 | corde2.DerFguide(x1,df2); |
283 | surf2->D1(x1(1),x1(2),pts,d1u,d1v); |
284 | } |
285 | |
286 | // derivees par rapport a T |
287 | temp.SetLinearForm(v2d.X(),d1u,v2d.Y(),d1v); |
288 | if( first ){ |
289 | D(1,1) = nplan.Dot(temp); |
290 | D(2,1) = 2*(gp_Vec(ptgui,pts).Dot(temp)); |
291 | D(3,1) = 0.; |
292 | D(4,1) = 0.; |
293 | } |
294 | else{ |
295 | D(1,1) = 0.; |
296 | D(2,1) = 0.; |
297 | D(3,1) = nplan.Dot(temp); |
298 | D(4,1) = 2*(gp_Vec(ptgui,pts).Dot(temp)); |
299 | } |
300 | |
301 | // derivees par rapport a W |
302 | D(1,2) = df1.X(); |
303 | D(2,2) = df1.Y(); |
304 | D(3,2) = df2.X(); |
305 | D(4,2) = df2.Y(); |
306 | |
307 | // derivees par rapport a U et V |
308 | if( first ){ |
309 | for( i=1; i<3; i++ ){ |
310 | for( j=3; j<5; j++ ){ |
311 | D(i,j) = 0.; |
312 | D(i+2,j) = d2(i,j-2); |
313 | } |
314 | } |
315 | } |
316 | else{ |
317 | for( i=1; i<3; i++ ){ |
318 | for( j=3; j<5; j++ ){ |
319 | D(i,j) = d1(i,j-2); |
320 | D(i+2,j) = 0.; |
321 | } |
322 | } |
323 | } |
324 | |
325 | return Standard_True; |
326 | } |
327 | |
328 | //======================================================================= |
329 | //function : Values |
330 | //purpose : |
331 | //======================================================================= |
332 | |
333 | Standard_Boolean BlendFunc_ChamfInv::Values(const math_Vector& X, math_Vector& F, math_Matrix& D) |
334 | { |
335 | Value(X,F); |
336 | Derivatives(X,D); |
337 | return Standard_True; |
338 | } |