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1 | // Copyright (c) 1995-1999 Matra Datavision |
2 | // Copyright (c) 1999-2012 OPEN CASCADE SAS |
3 | // |
4 | // The content of this file is subject to the Open CASCADE Technology Public |
5 | // License Version 6.5 (the "License"). You may not use the content of this file |
6 | // except in compliance with the License. Please obtain a copy of the License |
7 | // at http://www.opencascade.org and read it completely before using this file. |
8 | // |
9 | // The Initial Developer of the Original Code is Open CASCADE S.A.S., having its |
10 | // main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France. |
11 | // |
12 | // The Original Code and all software distributed under the License is |
13 | // distributed on an "AS IS" basis, without warranty of any kind, and the |
14 | // Initial Developer hereby disclaims all such warranties, including without |
15 | // limitation, any warranties of merchantability, fitness for a particular |
16 | // purpose or non-infringement. Please see the License for the specific terms |
17 | // and conditions governing the rights and limitations under the License. |
18 | |
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19 | |
20 | // modified by Edward AGAPOV (eap) Tue Apr 2 2002 (occ265) |
21 | // -- stop cutting an interval to approximate if next decisions |
22 | // -- get worse on and on |
23 | |
24 | |
25 | |
26 | #include <Approx_ParametrizationType.hxx> |
27 | #include Approx_MyLeastSquare_hxx |
28 | #include <TColStd_Array1OfReal.hxx> |
29 | #include <AppParCurves_Constraint.hxx> |
30 | #include <Approx_Status.hxx> |
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31 | #include <Precision.hxx> |
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32 | |
33 | //======================================================================= |
34 | //function : Approx_ComputeCLine |
35 | //purpose : The MultiLine <Line> will be approximated until tolerances |
36 | // will be reached. |
37 | // The approximation will be done from degreemin to degreemax |
38 | // with a cutting if the corresponding boolean is True. |
39 | //======================================================================= |
40 | |
41 | Approx_ComputeCLine::Approx_ComputeCLine |
42 | (const MultiLine& Line, |
43 | const Standard_Integer degreemin, |
44 | const Standard_Integer degreemax, |
45 | const Standard_Real Tolerance3d, |
46 | const Standard_Real Tolerance2d, |
47 | const Standard_Boolean cutting, |
48 | const AppParCurves_Constraint FirstC, |
49 | const AppParCurves_Constraint LastC) |
50 | { |
51 | mydegremin = degreemin; |
52 | mydegremax = degreemax; |
53 | mytol3d = Tolerance3d; |
54 | mytol2d = Tolerance2d; |
55 | mycut = cutting; |
56 | myfirstC = FirstC; |
57 | mylastC = LastC; |
58 | alldone = Standard_False; |
59 | Perform(Line); |
60 | } |
61 | |
62 | //======================================================================= |
63 | //function : Approx_ComputeCLine |
64 | //purpose : Initializes the fields of the algorithm. |
65 | //======================================================================= |
66 | |
67 | Approx_ComputeCLine::Approx_ComputeCLine |
68 | (const Standard_Integer degreemin, |
69 | const Standard_Integer degreemax, |
70 | const Standard_Real Tolerance3d, |
71 | const Standard_Real Tolerance2d, |
72 | const Standard_Boolean cutting, |
73 | const AppParCurves_Constraint FirstC, |
74 | const AppParCurves_Constraint LastC) |
75 | { |
76 | alldone = Standard_False; |
77 | mydegremin = degreemin; |
78 | mydegremax = degreemax; |
79 | mytol3d = Tolerance3d; |
80 | mytol2d = Tolerance2d; |
81 | mycut = cutting; |
82 | myfirstC = FirstC; |
83 | mylastC = LastC; |
84 | } |
85 | |
86 | //======================================================================= |
87 | //function : Perform |
88 | //purpose : runs the algorithm after having initialized the fields. |
89 | //======================================================================= |
90 | |
91 | void Approx_ComputeCLine::Perform(const MultiLine& Line) |
92 | { |
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93 | Standard_Real UFirst, ULast; |
94 | Standard_Boolean Finish = Standard_False, |
95 | begin = Standard_True, Ok = Standard_False; |
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96 | Standard_Real thetol3d = Precision::Confusion(), thetol2d = Precision::Confusion(); |
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97 | UFirst = LineTool::FirstParameter(Line); |
98 | ULast = LineTool::LastParameter(Line); |
99 | Standard_Real TolU = (ULast-UFirst)*1.e-05; |
100 | Standard_Real myfirstU = UFirst; |
101 | Standard_Real mylastU = ULast; |
102 | |
103 | if (!mycut) { |
104 | alldone = Compute(Line, UFirst, ULast, thetol3d, thetol2d); |
105 | if (!alldone) { |
106 | tolreached = Standard_False; |
107 | myfirstparam.Append(UFirst); |
108 | mylastparam.Append(ULast); |
109 | myMultiCurves.Append(TheMultiCurve); |
110 | Tolers3d.Append(currenttol3d); |
111 | Tolers2d.Append(currenttol2d); |
112 | } |
113 | } |
114 | else { |
115 | |
116 | // previous decision to be taken if we get worse with next cut (eap) |
117 | AppParCurves_MultiCurve KeptMultiCurve; |
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118 | Standard_Real KeptUfirst = 0., KeptUlast = 0., KeptT3d = RealLast(), KeptT2d = 0.; |
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119 | Standard_Integer NbWorseDecis = 0, NbAllowedBadDecis = 10; |
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120 | |
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121 | while (!Finish) { |
122 | |
123 | // Gestion du decoupage de la multiline pour approximer: |
124 | if (!begin) { |
125 | if (Ok) { |
126 | // Calcul de la partie a approximer. |
127 | myfirstU = mylastU; |
128 | mylastU = ULast; |
129 | if (Abs(ULast-myfirstU) <= RealEpsilon()) { |
130 | Finish = Standard_True; |
131 | alldone = Standard_True; |
132 | return; |
133 | } |
134 | KeptT3d = RealLast(); KeptT2d = 0; |
135 | NbWorseDecis = 0; |
136 | } |
137 | else { |
138 | // keep best decison |
139 | if ((thetol3d + thetol2d) < (KeptT3d + KeptT2d)) { |
140 | KeptMultiCurve = TheMultiCurve; |
141 | KeptUfirst = myfirstU; |
142 | KeptUlast = mylastU; |
143 | KeptT3d = thetol3d; |
144 | KeptT2d = thetol2d; |
145 | } |
146 | |
147 | // cut an interval |
148 | mylastU = (myfirstU + mylastU)/2; |
149 | } |
150 | } |
151 | |
152 | if (Abs(myfirstU-mylastU) <= TolU) /*break;*/ // pour ne pas planter |
153 | NbAllowedBadDecis /= 2; // la station. |
154 | |
155 | // Calcul des parametres sur ce nouvel intervalle. |
156 | Ok = Compute(Line, myfirstU, mylastU, thetol3d, thetol2d); |
157 | |
158 | //cout << myfirstU << " - " << mylastU << " tol : " << thetol3d << " " << thetol2d << endl; |
159 | |
160 | // is new decision better? |
161 | if ( !Ok && (thetol3d + thetol2d) > (KeptT3d + KeptT2d) ) |
162 | { |
163 | NbWorseDecis++; |
164 | |
165 | if (NbWorseDecis > NbAllowedBadDecis) { |
166 | |
167 | Ok = Standard_True; // stop interval cutting, approx the rest part |
168 | mylastU = KeptUlast; |
169 | |
170 | tolreached = Standard_False; // helas |
171 | myMultiCurves.Append(KeptMultiCurve); |
172 | Tolers3d.Append (KeptT3d); |
173 | Tolers2d.Append (KeptT2d); |
174 | myfirstparam.Append (KeptUfirst); |
175 | mylastparam.Append (KeptUlast); |
176 | } |
177 | } |
178 | |
179 | begin = Standard_False; |
180 | } // while (!Finish) |
181 | } |
182 | } |
183 | |
184 | //======================================================================= |
185 | //function : NbMultiCurves |
186 | //purpose : Returns the number of MultiCurve doing the approximation |
187 | // of the MultiLine. |
188 | //======================================================================= |
189 | |
190 | Standard_Integer Approx_ComputeCLine::NbMultiCurves()const |
191 | { |
192 | return myMultiCurves.Length(); |
193 | } |
194 | |
195 | //======================================================================= |
196 | //function : Value |
197 | //purpose : returns the approximation MultiCurve of range <Index>. |
198 | //======================================================================= |
199 | |
200 | AppParCurves_MultiCurve Approx_ComputeCLine::Value(const Standard_Integer Index) |
201 | const |
202 | { |
203 | return myMultiCurves.Value(Index); |
204 | } |
205 | |
206 | //======================================================================= |
207 | //function : Compute |
208 | //purpose : is internally used by the algorithms. |
209 | //======================================================================= |
210 | |
211 | Standard_Boolean Approx_ComputeCLine::Compute(const MultiLine& Line, |
212 | const Standard_Real Ufirst, |
213 | const Standard_Real Ulast, |
214 | Standard_Real& TheTol3d, |
215 | Standard_Real& TheTol2d) |
216 | { |
217 | |
218 | |
219 | Standard_Integer deg, NbPoints = 24; |
220 | Standard_Boolean mydone; |
221 | Standard_Real Fv; |
222 | |
223 | for (deg = mydegremin; deg <= mydegremax; deg++) { |
224 | |
225 | AppParCurves_MultiCurve mySCU(deg+1); |
226 | Approx_MyLeastSquare LSquare(Line, Ufirst, Ulast, myfirstC, mylastC, |
227 | deg, NbPoints); |
228 | mydone = LSquare.IsDone(); |
229 | if (mydone) { |
230 | LSquare.Error(Fv, TheTol3d, TheTol2d); |
231 | if (TheTol3d <= mytol3d && TheTol2d <= mytol2d) { |
232 | mySCU = LSquare.Value(); |
233 | // Stockage de la multicurve approximee. |
234 | tolreached = Standard_True; |
235 | myMultiCurves.Append(mySCU); |
236 | myfirstparam.Append(Ufirst); |
237 | mylastparam.Append(Ulast); |
238 | Tolers3d.Append(TheTol3d); |
239 | Tolers2d.Append(TheTol2d); |
240 | return Standard_True; |
241 | } |
242 | } |
243 | if (deg == mydegremax) { |
244 | TheMultiCurve = LSquare.Value(); |
245 | currenttol3d = TheTol3d; |
246 | currenttol2d = TheTol2d; |
247 | } |
248 | |
249 | } |
250 | return Standard_False; |
251 | } |
252 | |
253 | //======================================================================= |
254 | //function : Parameters |
255 | //purpose : returns the first and last parameters of the |
256 | // <Index> MultiCurve. |
257 | //======================================================================= |
258 | |
259 | void Approx_ComputeCLine::Parameters(const Standard_Integer Index, |
260 | Standard_Real& firstpar, |
261 | Standard_Real& lastpar) const |
262 | { |
263 | firstpar = myfirstparam.Value(Index); |
264 | lastpar = mylastparam.Value(Index); |
265 | } |
266 | |
267 | //======================================================================= |
268 | //function : SetDegrees |
269 | //purpose : changes the degrees of the approximation. |
270 | //======================================================================= |
271 | |
272 | void Approx_ComputeCLine::SetDegrees(const Standard_Integer degreemin, |
273 | const Standard_Integer degreemax) |
274 | { |
275 | mydegremin = degreemin; |
276 | mydegremax = degreemax; |
277 | } |
278 | |
279 | //======================================================================= |
280 | //function : SetTolerances |
281 | //purpose : Changes the tolerances of the approximation. |
282 | //======================================================================= |
283 | |
284 | void Approx_ComputeCLine::SetTolerances(const Standard_Real Tolerance3d, |
285 | const Standard_Real Tolerance2d) |
286 | { |
287 | mytol3d = Tolerance3d; |
288 | mytol2d = Tolerance2d; |
289 | } |
290 | |
291 | //======================================================================= |
292 | //function : SetConstraints |
293 | //purpose : Changes the constraints of the approximation. |
294 | //======================================================================= |
295 | |
296 | void Approx_ComputeCLine::SetConstraints(const AppParCurves_Constraint FirstC, |
297 | const AppParCurves_Constraint LastC) |
298 | { |
299 | myfirstC = FirstC; |
300 | mylastC = LastC; |
301 | } |
302 | |
303 | //======================================================================= |
304 | //function : IsAllApproximated |
305 | //purpose : returns False if at a moment of the approximation, |
306 | // the status NoApproximation has been sent by the user |
307 | // when more points were needed. |
308 | //======================================================================= |
309 | |
310 | Standard_Boolean Approx_ComputeCLine::IsAllApproximated() |
311 | const { |
312 | return alldone; |
313 | } |
314 | |
315 | //======================================================================= |
316 | //function : IsToleranceReached |
317 | //purpose : returns False if the status NoPointsAdded has been sent. |
318 | //======================================================================= |
319 | |
320 | Standard_Boolean Approx_ComputeCLine::IsToleranceReached() |
321 | const { |
322 | return tolreached; |
323 | } |
324 | |
325 | //======================================================================= |
326 | //function : Error |
327 | //purpose : returns the tolerances 2d and 3d of the <Index> MultiCurve. |
328 | //======================================================================= |
329 | |
330 | void Approx_ComputeCLine::Error(const Standard_Integer Index, |
331 | Standard_Real& tol3d, |
332 | Standard_Real& tol2d) const |
333 | { |
334 | tol3d = Tolers3d.Value(Index); |
335 | tol2d = Tolers2d.Value(Index); |
336 | } |