b311480e |
1 | // Created on: 1995-03-06 |
2 | // Created by: Laurent PAINNOT |
3 | // Copyright (c) 1995-1999 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. |
b311480e |
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 <gp_Pnt.hxx> |
19 | #include <gp_Pnt2d.hxx> |
42cf5bc1 |
20 | #include <gp_XY.hxx> |
21 | #include <Poly.hxx> |
7fd59977 |
22 | #include <Poly_Array1OfTriangle.hxx> |
23 | #include <Poly_ListOfTriangulation.hxx> |
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24 | #include <Poly_Polygon2D.hxx> |
42cf5bc1 |
25 | #include <Poly_Polygon3D.hxx> |
26 | #include <Poly_Triangle.hxx> |
27 | #include <Poly_Triangulation.hxx> |
7fd59977 |
28 | #include <Precision.hxx> |
42cf5bc1 |
29 | #include <Standard_Stream.hxx> |
30 | #include <TColgp_Array1OfPnt.hxx> |
31 | #include <TColStd_Array1OfReal.hxx> |
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32 | #include <TShort_Array1OfShortReal.hxx> |
33 | #include <TShort_HArray1OfShortReal.hxx> |
34 | |
35 | //======================================================================= |
36 | //function : Catenate |
37 | //purpose : Join several triangulations to one new triangulation object |
38 | //======================================================================= |
4952a30a |
39 | Handle(Poly_Triangulation) Poly::Catenate (const Poly_ListOfTriangulation& lstTri) |
7fd59977 |
40 | { |
41 | Standard_Integer nNodes(0); |
42 | Standard_Integer nTrian(0); |
43 | |
44 | // Sum up the total number of nodes. |
45 | Poly_ListOfTriangulation::Iterator anIter(lstTri); |
46 | for (; anIter.More(); anIter.Next()) { |
47 | const Handle(Poly_Triangulation)& aTri = anIter.Value(); |
48 | if (aTri.IsNull() == Standard_False) { |
49 | nNodes += aTri->NbNodes(); |
50 | nTrian += aTri->NbTriangles(); |
51 | } |
52 | } |
53 | |
54 | Handle(Poly_Triangulation) aResult; |
55 | if (nNodes > 0) { |
56 | aResult = new Poly_Triangulation(nNodes, nTrian, Standard_False); |
57 | Standard_Integer i, iNode[3]; |
58 | nNodes = 0; |
59 | nTrian = 0; |
60 | TColgp_Array1OfPnt& arrNode = aResult->ChangeNodes(); |
61 | Poly_Array1OfTriangle& arrTrian = aResult->ChangeTriangles(); |
62 | for (anIter.Init(lstTri); anIter.More(); anIter.Next()) { |
63 | const Handle(Poly_Triangulation)& aTri = anIter.Value(); |
64 | if (aTri.IsNull() == Standard_False) { |
65 | const TColgp_Array1OfPnt& srcNode = aTri->Nodes(); |
66 | const Poly_Array1OfTriangle& srcTrian = aTri->Triangles(); |
67 | const Standard_Integer nbNodes = aTri->NbNodes(); |
68 | const Standard_Integer nbTrian = aTri->NbTriangles(); |
69 | for (i = 1; i <= nbNodes; i++) { |
70 | arrNode.SetValue(i + nNodes, srcNode(i)); |
71 | } |
72 | for (i = 1; i <= nbTrian; i++) { |
73 | srcTrian(i).Get(iNode[0], iNode[1], iNode[2]); |
74 | arrTrian.SetValue(i + nTrian, Poly_Triangle(iNode[0] + nNodes, |
75 | iNode[1] + nNodes, |
76 | iNode[2] + nNodes)); |
77 | } |
78 | nNodes += nbNodes; |
79 | nTrian += nbTrian; |
80 | } |
81 | } |
82 | } |
83 | return aResult; |
84 | } |
85 | |
86 | //======================================================================= |
87 | //function : Write |
4952a30a |
88 | //purpose : |
7fd59977 |
89 | //======================================================================= |
90 | |
4952a30a |
91 | void Poly::Write(const Handle(Poly_Triangulation)& T, |
92 | Standard_OStream& OS, |
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93 | const Standard_Boolean Compact) |
94 | { |
95 | OS << "Poly_Triangulation\n"; |
96 | if (Compact) { |
97 | OS << T->NbNodes() << " " << T->NbTriangles() << " "; |
98 | OS << ((T->HasUVNodes()) ? "1" : "0") << "\n"; |
99 | } |
100 | else { |
04232180 |
101 | OS << std::setw(8) << T->NbNodes() << " Nodes\n"; |
102 | OS << std::setw(8) << T->NbTriangles() << " Triangles\n"; |
7fd59977 |
103 | OS << ((T->HasUVNodes()) ? "with" : "without") << " UV nodes\n"; |
104 | } |
105 | |
106 | // write the deflection |
107 | |
108 | if (!Compact) OS << "Deflection : "; |
109 | OS << T->Deflection() << "\n"; |
110 | |
111 | // write the 3d nodes |
112 | |
113 | if (!Compact) OS << "\n3D Nodes :\n"; |
114 | |
115 | Standard_Integer i, nbNodes = T->NbNodes(); |
116 | const TColgp_Array1OfPnt& Nodes = T->Nodes(); |
117 | for (i = 1; i <= nbNodes; i++) { |
04232180 |
118 | if (!Compact) OS << std::setw(10) << i << " : "; |
119 | if (!Compact) OS << std::setw(17); |
7fd59977 |
120 | OS << Nodes(i).X() << " "; |
04232180 |
121 | if (!Compact) OS << std::setw(17); |
7fd59977 |
122 | OS << Nodes(i).Y() << " "; |
04232180 |
123 | if (!Compact) OS << std::setw(17); |
7fd59977 |
124 | OS << Nodes(i).Z() << "\n"; |
125 | } |
126 | |
127 | if (T->HasUVNodes()) { |
128 | if (!Compact) OS << "\nUV Nodes :\n"; |
129 | const TColgp_Array1OfPnt2d& UVNodes = T->UVNodes(); |
130 | for (i = 1; i <= nbNodes; i++) { |
04232180 |
131 | if (!Compact) OS << std::setw(10) << i << " : "; |
132 | if (!Compact) OS << std::setw(17); |
7fd59977 |
133 | OS << UVNodes(i).X() << " "; |
04232180 |
134 | if (!Compact) OS << std::setw(17); |
7fd59977 |
135 | OS << UVNodes(i).Y() << "\n"; |
136 | } |
137 | } |
4952a30a |
138 | |
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139 | if (!Compact) OS << "\nTriangles :\n"; |
140 | Standard_Integer nbTriangles = T->NbTriangles(); |
141 | Standard_Integer n1, n2, n3; |
142 | const Poly_Array1OfTriangle& Triangles = T->Triangles(); |
143 | for (i = 1; i <= nbTriangles; i++) { |
04232180 |
144 | if (!Compact) OS << std::setw(10) << i << " : "; |
7fd59977 |
145 | Triangles(i).Get(n1, n2, n3); |
04232180 |
146 | if (!Compact) OS << std::setw(10); |
7fd59977 |
147 | OS << n1 << " "; |
04232180 |
148 | if (!Compact) OS << std::setw(10); |
7fd59977 |
149 | OS << n2 << " "; |
04232180 |
150 | if (!Compact) OS << std::setw(10); |
7fd59977 |
151 | OS << n3 << "\n"; |
152 | } |
153 | |
154 | } |
155 | |
156 | //======================================================================= |
157 | //function : Write |
4952a30a |
158 | //purpose : |
7fd59977 |
159 | //======================================================================= |
160 | |
4952a30a |
161 | void Poly::Write(const Handle(Poly_Polygon3D)& P, |
162 | Standard_OStream& OS, |
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163 | const Standard_Boolean Compact) |
164 | { |
165 | OS << "Poly_Polygon3D\n"; |
166 | if (Compact) { |
167 | OS << P->NbNodes() << " "; |
168 | OS << ((P->HasParameters()) ? "1" : "0") << "\n"; |
169 | } |
170 | else { |
04232180 |
171 | OS << std::setw(8) << P->NbNodes() << " Nodes\n"; |
7fd59977 |
172 | OS << ((P->HasParameters()) ? "with" : "without") << " parameters\n"; |
173 | } |
174 | |
175 | // write the deflection |
176 | |
177 | if (!Compact) OS << "Deflection : "; |
178 | OS << P->Deflection() << "\n"; |
179 | |
180 | // write the nodes |
181 | |
182 | if (!Compact) OS << "\nNodes :\n"; |
183 | |
184 | Standard_Integer i, nbNodes = P->NbNodes(); |
185 | const TColgp_Array1OfPnt& Nodes = P->Nodes(); |
186 | for (i = 1; i <= nbNodes; i++) { |
04232180 |
187 | if (!Compact) OS << std::setw(10) << i << " : "; |
188 | if (!Compact) OS << std::setw(17); |
7fd59977 |
189 | OS << Nodes(i).X() << " "; |
04232180 |
190 | if (!Compact) OS << std::setw(17); |
7fd59977 |
191 | OS << Nodes(i).Y() << " "; |
04232180 |
192 | if (!Compact) OS << std::setw(17); |
7fd59977 |
193 | OS << Nodes(i).Z() << "\n"; |
194 | } |
195 | |
196 | if (P->HasParameters()) { |
197 | if (!Compact) OS << "\nParameters :\n"; |
198 | const TColStd_Array1OfReal& Param = P->Parameters(); |
199 | for (i = 1; i <= nbNodes; i++) { |
200 | OS << Param(i) << " "; |
201 | } |
202 | OS <<"\n"; |
203 | } |
204 | |
205 | |
206 | } |
207 | |
208 | |
209 | //======================================================================= |
210 | //function : Write |
4952a30a |
211 | //purpose : |
7fd59977 |
212 | //======================================================================= |
213 | |
4952a30a |
214 | void Poly::Write(const Handle(Poly_Polygon2D)& P, |
215 | Standard_OStream& OS, |
7fd59977 |
216 | const Standard_Boolean Compact) |
217 | { |
218 | OS << "Poly_Polygon2D\n"; |
219 | if (Compact) { |
220 | OS << P->NbNodes() << " "; |
221 | } |
222 | else { |
04232180 |
223 | OS << std::setw(8) << P->NbNodes() << " Nodes\n"; |
7fd59977 |
224 | } |
225 | |
226 | // write the deflection |
227 | |
228 | if (!Compact) OS << "Deflection : "; |
229 | OS << P->Deflection() << "\n"; |
230 | |
231 | // write the nodes |
232 | |
233 | if (!Compact) OS << "\nNodes :\n"; |
234 | |
235 | Standard_Integer i, nbNodes = P->NbNodes(); |
236 | const TColgp_Array1OfPnt2d& Nodes = P->Nodes(); |
237 | for (i = 1; i <= nbNodes; i++) { |
04232180 |
238 | if (!Compact) OS << std::setw(10) << i << " : "; |
239 | if (!Compact) OS << std::setw(17); |
7fd59977 |
240 | OS << Nodes(i).X() << " "; |
04232180 |
241 | if (!Compact) OS << std::setw(17); |
7fd59977 |
242 | OS << Nodes(i).Y() << "\n"; |
243 | } |
244 | } |
245 | |
246 | |
247 | |
248 | //======================================================================= |
249 | //function : Dump |
4952a30a |
250 | //purpose : |
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251 | //======================================================================= |
252 | |
253 | void Poly::Dump(const Handle(Poly_Triangulation)& T, Standard_OStream& OS) |
254 | { |
255 | Poly::Write(T,OS,Standard_False); |
256 | } |
257 | |
258 | |
259 | //======================================================================= |
260 | //function : Dump |
4952a30a |
261 | //purpose : |
7fd59977 |
262 | //======================================================================= |
263 | |
264 | void Poly::Dump(const Handle(Poly_Polygon3D)& P, Standard_OStream& OS) |
265 | { |
266 | Poly::Write(P,OS,Standard_False); |
267 | } |
268 | |
269 | |
270 | //======================================================================= |
271 | //function : Dump |
4952a30a |
272 | //purpose : |
7fd59977 |
273 | //======================================================================= |
274 | |
275 | void Poly::Dump(const Handle(Poly_Polygon2D)& P, Standard_OStream& OS) |
276 | { |
277 | Poly::Write(P,OS,Standard_False); |
278 | } |
279 | |
280 | |
281 | //======================================================================= |
282 | //function : ReadTriangulation |
4952a30a |
283 | //purpose : |
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284 | //======================================================================= |
285 | |
286 | Handle(Poly_Triangulation) Poly::ReadTriangulation(Standard_IStream& IS) |
287 | { |
288 | // Read a triangulation |
4952a30a |
289 | |
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290 | char line[100]; |
291 | IS >> line; |
292 | if (strcmp(line,"Poly_Triangulation")) { |
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293 | #ifdef OCCT_DEBUG |
04232180 |
294 | std::cout << "Not a Triangulation in the file" << std::endl; |
63c629aa |
295 | #endif |
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296 | return Handle(Poly_Triangulation)(); |
297 | } |
298 | |
299 | Standard_Integer nbNodes, nbTriangles; |
300 | Standard_Boolean hasUV; |
301 | IS >> nbNodes >> nbTriangles >> hasUV; |
302 | |
303 | Standard_Real d; |
304 | IS >> d; |
305 | |
306 | // read the 3d nodes |
307 | Standard_Real x,y,z; |
308 | Standard_Integer i; |
309 | TColgp_Array1OfPnt Nodes(1, nbNodes); |
310 | TColgp_Array1OfPnt2d UVNodes(1, nbNodes); |
311 | |
312 | for (i = 1; i <= nbNodes; i++) { |
313 | IS >> x >> y >> z; |
314 | Nodes(i).SetCoord(x,y,z); |
315 | } |
316 | |
317 | // read the UV points if necessary |
318 | |
319 | if (hasUV) { |
320 | for (i = 1; i <= nbNodes; i++) { |
321 | IS >> x >> y; |
322 | UVNodes(i).SetCoord(x,y); |
323 | } |
324 | } |
325 | |
326 | |
327 | // read the triangles |
328 | Standard_Integer n1,n2,n3; |
329 | Poly_Array1OfTriangle Triangles(1, nbTriangles); |
330 | for (i = 1; i <= nbTriangles; i++) { |
331 | IS >> n1 >> n2 >> n3; |
332 | Triangles(i).Set(n1,n2,n3); |
333 | } |
334 | |
4952a30a |
335 | |
7fd59977 |
336 | Handle(Poly_Triangulation) T; |
337 | |
338 | if (hasUV) T = new Poly_Triangulation(Nodes,UVNodes,Triangles); |
339 | else T = new Poly_Triangulation(Nodes,Triangles); |
340 | |
341 | T->Deflection(d); |
342 | |
343 | return T; |
344 | } |
345 | |
346 | |
347 | //======================================================================= |
348 | //function : ReadPolygon3D |
4952a30a |
349 | //purpose : |
7fd59977 |
350 | //======================================================================= |
351 | |
352 | Handle(Poly_Polygon3D) Poly::ReadPolygon3D(Standard_IStream& IS) |
353 | { |
354 | // Read a 3d polygon |
4952a30a |
355 | |
7fd59977 |
356 | char line[100]; |
357 | IS >> line; |
358 | if (strcmp(line,"Poly_Polygon3D")) { |
0797d9d3 |
359 | #ifdef OCCT_DEBUG |
04232180 |
360 | std::cout << "Not a Polygon3D in the file" << std::endl; |
63c629aa |
361 | #endif |
7fd59977 |
362 | return Handle(Poly_Polygon3D)(); |
363 | } |
364 | |
365 | Standard_Integer nbNodes; |
366 | IS >> nbNodes; |
367 | |
368 | Standard_Boolean hasparameters; |
369 | IS >> hasparameters; |
370 | |
371 | Standard_Real d; |
372 | IS >> d; |
373 | |
374 | // read the nodes |
375 | Standard_Real x,y,z; |
376 | Standard_Integer i; |
377 | TColgp_Array1OfPnt Nodes(1, nbNodes); |
378 | |
379 | for (i = 1; i <= nbNodes; i++) { |
380 | IS >> x >> y >> z; |
381 | Nodes(i).SetCoord(x,y,z); |
382 | } |
383 | |
384 | TColStd_Array1OfReal Param(1,nbNodes); |
385 | if (hasparameters) { |
386 | for (i = 1; i <= nbNodes; i++) { |
387 | IS >> Param(i); |
388 | } |
389 | } |
390 | |
391 | Handle(Poly_Polygon3D) P; |
392 | if (!hasparameters) |
393 | P = new Poly_Polygon3D(Nodes); |
4952a30a |
394 | else |
7fd59977 |
395 | P = new Poly_Polygon3D(Nodes, Param); |
396 | |
397 | P->Deflection(d); |
398 | |
399 | return P; |
400 | } |
401 | |
402 | //======================================================================= |
403 | //function : ReadPolygon3D |
4952a30a |
404 | //purpose : |
7fd59977 |
405 | //======================================================================= |
406 | |
407 | Handle(Poly_Polygon2D) Poly::ReadPolygon2D(Standard_IStream& IS) |
408 | { |
409 | // Read a 2d polygon |
4952a30a |
410 | |
7fd59977 |
411 | char line[100]; |
412 | IS >> line; |
413 | if (strcmp(line,"Poly_Polygon2D")) { |
0797d9d3 |
414 | #ifdef OCCT_DEBUG |
04232180 |
415 | std::cout << "Not a Polygon2D in the file" << std::endl; |
63c629aa |
416 | #endif |
7fd59977 |
417 | return Handle(Poly_Polygon2D)(); |
418 | } |
419 | |
420 | Standard_Integer nbNodes; |
421 | IS >> nbNodes; |
422 | |
423 | Standard_Real d; |
424 | IS >> d; |
425 | |
426 | // read the nodes |
427 | Standard_Real x,y; |
428 | Standard_Integer i; |
429 | TColgp_Array1OfPnt2d Nodes(1, nbNodes); |
430 | |
431 | for (i = 1; i <= nbNodes; i++) { |
432 | IS >> x >> y; |
433 | Nodes(i).SetCoord(x,y); |
434 | } |
435 | |
4952a30a |
436 | Handle(Poly_Polygon2D) P = |
7fd59977 |
437 | new Poly_Polygon2D(Nodes); |
4952a30a |
438 | |
7fd59977 |
439 | P->Deflection(d); |
440 | |
441 | return P; |
442 | } |
443 | |
444 | //======================================================================= |
445 | //function : ComputeNormals |
4952a30a |
446 | //purpose : |
7fd59977 |
447 | //======================================================================= |
dc2cc135 |
448 | void Poly::ComputeNormals (const Handle(Poly_Triangulation)& theTri) |
7fd59977 |
449 | { |
dc2cc135 |
450 | const TColgp_Array1OfPnt& aNodes = theTri->Nodes(); |
451 | const Standard_Integer aNbNodes = aNodes.Size(); |
452 | |
453 | const Handle(TShort_HArray1OfShortReal) aNormals = new TShort_HArray1OfShortReal (1, aNbNodes * 3); |
454 | aNormals->Init (0.0f); |
455 | Standard_ShortReal* aNormArr = &aNormals->ChangeFirst(); |
456 | |
457 | Standard_Integer anElem[3] = {0, 0, 0}; |
458 | const Standard_Real anEps2 = gp::Resolution(); |
459 | for (Poly_Array1OfTriangle::Iterator aTriIter (theTri->Triangles()); aTriIter.More(); aTriIter.Next()) |
460 | { |
461 | aTriIter.Value().Get (anElem[0], anElem[1], anElem[2]); |
462 | const gp_Pnt& aNode0 = aNodes.Value (anElem[0]); |
463 | const gp_Pnt& aNode1 = aNodes.Value (anElem[1]); |
464 | const gp_Pnt& aNode2 = aNodes.Value (anElem[2]); |
465 | |
466 | const gp_XYZ aVec01 = aNode1.XYZ() - aNode0.XYZ(); |
467 | const gp_XYZ aVec02 = aNode2.XYZ() - aNode0.XYZ(); |
468 | gp_XYZ aTriNorm = aVec01 ^ aVec02; |
469 | /*if (theToIgnoreTriangleSize) |
470 | { |
471 | const Standard_Real aMod = aTriNorm.SquareModulus(); |
472 | if (aMod > anEps2) |
473 | { |
474 | aTriNorm /= Sqrt (aMod); |
475 | } |
476 | else |
477 | { |
478 | continue; |
479 | } |
480 | }*/ |
481 | |
482 | for (Standard_Integer aNodeIter = 0; aNodeIter < 3; ++aNodeIter) |
483 | { |
484 | const Standard_Size anIndex = (anElem[aNodeIter] - 1) * 3; |
485 | aNormArr[anIndex + 0] += Standard_ShortReal(aTriNorm.X()); |
486 | aNormArr[anIndex + 1] += Standard_ShortReal(aTriNorm.Y()); |
487 | aNormArr[anIndex + 2] += Standard_ShortReal(aTriNorm.Z()); |
7fd59977 |
488 | } |
489 | } |
dc2cc135 |
490 | |
7fd59977 |
491 | // Normalize all vectors |
dc2cc135 |
492 | gp_XYZ aNormXYZ; |
493 | for (Standard_Integer aNodeIter = 0; aNodeIter < aNbNodes; ++aNodeIter) |
494 | { |
495 | const Standard_Size anIndex = aNodeIter * 3; |
496 | aNormXYZ.SetCoord (aNormArr[anIndex + 0], aNormArr[anIndex + 1], aNormArr[anIndex + 2]); |
497 | const Standard_Real aMod2 = aNormXYZ.SquareModulus(); |
498 | if (aMod2 < anEps2) |
499 | { |
500 | aNormArr[anIndex + 0] = 0.0f; |
501 | aNormArr[anIndex + 1] = 0.0f; |
502 | aNormArr[anIndex + 2] = 1.0f; |
503 | } |
504 | else |
505 | { |
506 | aNormXYZ /= Sqrt (aMod2); |
507 | aNormArr[anIndex + 0] = Standard_ShortReal(aNormXYZ.X()); |
508 | aNormArr[anIndex + 1] = Standard_ShortReal(aNormXYZ.Y()); |
509 | aNormArr[anIndex + 2] = Standard_ShortReal(aNormXYZ.Z()); |
7fd59977 |
510 | } |
511 | } |
512 | |
dc2cc135 |
513 | theTri->SetNormals (aNormals); |
7fd59977 |
514 | } |
4952a30a |
515 | |
516 | //======================================================================= |
517 | //function : PointOnTriangle |
518 | //purpose : |
519 | //======================================================================= |
520 | |
521 | Standard_Real Poly::PointOnTriangle (const gp_XY& theP1, const gp_XY& theP2, const gp_XY& theP3, |
522 | const gp_XY& theP, gp_XY& theUV) |
523 | { |
524 | gp_XY aDP = theP - theP1; |
525 | gp_XY aDU = theP2 - theP1; |
526 | gp_XY aDV = theP3 - theP1; |
527 | Standard_Real aDet = aDU ^ aDV; |
528 | |
529 | // case of non-degenerated triangle |
530 | if ( Abs (aDet) > gp::Resolution() ) |
531 | { |
532 | Standard_Real aU = (aDP ^ aDV) / aDet; |
533 | Standard_Real aV = -(aDP ^ aDU) / aDet; |
534 | |
535 | // if point is inside triangle, just return parameters |
536 | if ( aU > -gp::Resolution() && |
537 | aV > -gp::Resolution() && |
538 | 1. - aU - aV > -gp::Resolution() ) |
539 | { |
540 | theUV.SetCoord (aU, aV); |
541 | return 0.; |
542 | } |
543 | |
544 | // else find closest point on triangle sides; note that in general case |
545 | // triangle can be very distorted and it is necessary to check |
546 | // projection on all sides regardless of values of computed parameters |
547 | |
548 | // project on side U=0 |
549 | aU = 0.; |
550 | aV = Min (1., Max (0., (aDP * aDV) / aDV.SquareModulus())); |
551 | Standard_Real aD = (aV * aDV - aDP).SquareModulus(); |
552 | |
553 | // project on side V=0 |
554 | Standard_Real u = Min (1., Max (0., (aDP * aDU) / aDU.SquareModulus())); |
555 | Standard_Real d = (u * aDU - aDP).SquareModulus(); |
556 | if ( d < aD ) |
557 | { |
558 | aU = u; |
559 | aV = 0.; |
560 | aD = d; |
561 | } |
562 | |
563 | // project on side U+V=1 |
564 | gp_XY aDUV = aDV - aDU; |
565 | Standard_Real v = Min (1., Max (0., ((aDP - aDU) * aDUV) / aDUV.SquareModulus())); |
566 | d = (theP2 + v * aDUV - theP).SquareModulus(); |
567 | if ( d < aD ) |
568 | { |
569 | aU = 1. - v; |
570 | aV = v; |
571 | aD = d; |
572 | } |
573 | |
574 | theUV.SetCoord (aU, aV); |
575 | return aD; |
576 | } |
577 | |
578 | // degenerated triangle |
579 | Standard_Real aL2U = aDU.SquareModulus(); |
580 | Standard_Real aL2V = aDV.SquareModulus(); |
581 | if ( aL2U < gp::Resolution() ) // side 1-2 is degenerated |
582 | { |
583 | if ( aL2V < gp::Resolution() ) // whole triangle is degenerated to point |
584 | { |
585 | theUV.SetCoord (0., 0.); |
586 | return (theP - theP1).SquareModulus(); |
587 | } |
588 | else |
589 | { |
590 | theUV.SetCoord (0., (aDP * aDV) / aL2V); |
591 | return (theP - (theP1 + theUV.Y() * aDV)).SquareModulus(); |
592 | } |
593 | } |
594 | else if ( aL2V < gp::Resolution() ) // side 1-3 is degenerated |
595 | { |
596 | theUV.SetCoord ((aDP * aDU) / aL2U, 0.); |
597 | return (theP - (theP1 + theUV.X() * aDU)).SquareModulus(); |
598 | } |
599 | else // sides 1-2 and 1-3 are collinear |
600 | { |
601 | // select parameter on one of sides so as to have points closer to picked |
602 | Standard_Real aU = Min (1., Max (0., (aDP * aDU) / aL2U)); |
603 | Standard_Real aV = Min (1., Max (0., (aDP * aDV) / aL2V)); |
604 | Standard_Real aD1 = (aDP - aU * aDU).SquareModulus(); |
605 | Standard_Real aD2 = (aDP - aV * aDV).SquareModulus(); |
606 | if ( aD1 < aD2 ) |
607 | { |
608 | theUV.SetCoord ((aDP * aDU) / aL2U, 0.); |
609 | return aD1; |
610 | } |
611 | else |
612 | { |
613 | theUV.SetCoord (0., (aDP * aDV) / aL2V); |
614 | return aD2; |
615 | } |
616 | } |
617 | } |
618 | |