0031662: Modeling Algorithms - Incomplete result of section operation
[occt.git] / src / TopTrans / TopTrans_SurfaceTransition.cxx
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b311480e 1// Created on: 1997-03-04
2// Created by: Prestataire Xuan PHAM PHU
3// Copyright (c) 1995-1999 Matra Datavision
973c2be1 4// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e 5//
973c2be1 6// This file is part of Open CASCADE Technology software library.
b311480e 7//
d5f74e42 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
973c2be1 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.
b311480e 13//
973c2be1 14// Alternatively, this file may be used under the terms of Open CASCADE
15// commercial license or contractual agreement.
b311480e 16
7fd59977 17// Modified: eap Mar 25 2002 (occ102,occ227), touch case
7fd59977 18
19#include <gp_Dir.hxx>
42cf5bc1 20#include <Precision.hxx>
7fd59977 21#include <TopAbs.hxx>
7fd59977 22#include <TopAbs_Orientation.hxx>
42cf5bc1 23#include <TopAbs_State.hxx>
24#include <TopTrans_SurfaceTransition.hxx>
7fd59977 25
7fd59977 26static Standard_Boolean STATIC_DEFINED = Standard_False;
27
7fd59977 28static gp_Dir FUN_nCinsideS(const gp_Dir& tgC, const gp_Dir& ngS)
29{
30 // Give us a curve C on suface S, <parOnC>, a parameter
31 // Purpose : compute normal vector to C, tangent to S at
32 // given point , oriented INSIDE S
33 // <tgC> : geometric tangent at point of <parOnC>
34 // <ngS> : geometric normal at point of <parOnC>
35 gp_Dir XX(ngS^tgC);
36 return XX;
37}
38
39#define M_REVERSED(st) (st == TopAbs_REVERSED)
40#define M_INTERNAL(st) (st == TopAbs_INTERNAL)
41#define M_UNKNOWN(st) (st == TopAbs_UNKNOWN)
42
43static Standard_Integer FUN_OO(const Standard_Integer i)
44{
45 if (i == 1) return 2;
46 if (i == 2) return 1;
47 return 0;
48}
49
50//static Standard_Real FUN_Ang(const gp_Dir& Normref,
51static Standard_Real FUN_Ang(const gp_Dir& ,
52 const gp_Dir& beafter,
53 const gp_Dir& TgC,
54 const gp_Dir& Norm,
55 const TopAbs_Orientation O)
56{
57 gp_Dir dironF = FUN_nCinsideS(TgC,Norm);
58 if (M_REVERSED(O)) dironF.Reverse();
59
60 Standard_Real ang = beafter.AngleWithRef(dironF,TgC);
61 return ang;
62}
63
64static void FUN_getSTA(const Standard_Real Ang, const Standard_Real tola,
65 Standard_Integer& i, Standard_Integer& j)
66{
67 Standard_Real cos = Cos(Ang);
68 Standard_Real sin = Sin(Ang);
69 Standard_Boolean nullcos = Abs(cos) < tola;
70 Standard_Boolean nullsin = Abs(sin) < tola;
71 if (nullcos) i = 0;
72 else i = (cos > 0.) ? 1 : 2;
73 if (nullsin) j = 0;
74 else j = (sin > 0.) ? 1 : 2;
75}
76
77/*static void FUN_getSTA(const Standard_Real Ang, const Standard_Real tola,
78 const Standard_Real Curv, const Standard_Real CurvRef,
79 Standard_Integer& i, Standard_Integer& j)
80{
81 // Choosing UV referential (beafter,myNorm).
82 // purpose : computes position boundary face relative to the reference surface
83 // notice : j==0 => j==1 : the boundary face is ABOVE the reference surface
84 // j==2 : the boundary face is UNDER the reference surface
85 // - j==0 : the boundary and the reference objects are tangent-
86
87 FUN_getSTA(Ang,tola,i,j);
88 if (j == 0) {
89 Standard_Real diff = Curv - CurvRef;
90 if (Abs(diff) < tola) {STATIC_DEFINED = Standard_False; return;} // nyi FUN_Raise
91 j = (diff < 0.) ? 1 : 2;
92 }
93}*/
0797d9d3 94#ifndef OCCT_DEBUG
7fd59977 95#define M_Unknown (-100)
96#else
97#define M_Unknown (-100.)
98#endif
99#define M_noupdate (0)
100#define M_updateREF (1)
101#define M_Ointernal (10)
102static Standard_Integer FUN_refnearest(const Standard_Real Angref, const TopAbs_Orientation Oriref,
103 const Standard_Real Ang, const TopAbs_Orientation Ori, const Standard_Real tola)
104{
105 Standard_Boolean undef = (Angref == 100.);
106 if (undef) return M_updateREF;
107
108 Standard_Real cosref = Cos(Angref), cos = Cos(Ang);
109 Standard_Real dcos = Abs(cosref) - Abs(cos);
110 if (Abs(dcos) < tola) {
111 // Analysis for tangent cases : if two boundary faces are same sided
112 // and have tangent normals, if they have opposite orientations
113 // we choose INTERNAL as resulting complex transition (case EXTERNAL
114 // refering to no logical case)
115 if (TopAbs::Complement(Ori) == Oriref) return M_Ointernal;
116 else return (Standard_Integer ) M_Unknown; // nyi FUN_RAISE
117 }
118 Standard_Integer updateref = (dcos > 0.)? M_noupdate : M_updateREF;
119 return updateref;
120}
121
122//=======================================================================
123//function : FUN_refnearest
124//purpose :
125//=======================================================================
126
127static Standard_Integer FUN_refnearest(const Standard_Integer i,
128 const Standard_Integer j,
129 const Standard_Real CurvSref,
130 const Standard_Real Angref,
131 const TopAbs_Orientation Oriref,
132 const Standard_Real Curvref,
133 const Standard_Real Ang,
134 const TopAbs_Orientation Ori,
135 const Standard_Real Curv,
136 const Standard_Real tola,
137 Standard_Boolean & TouchFlag) // eap Mar 25 2002
138{
139 Standard_Boolean iisj = (i == j);
140 Standard_Real abscos = Abs(Cos(Ang));
141 Standard_Boolean i0 = (Abs(1. - abscos) < tola);
142 Standard_Boolean j0 = (abscos < tola);
143 Standard_Boolean nullcurv = (Curv == 0.);
144 Standard_Boolean curvpos = (Curv > tola);
145 Standard_Boolean curvneg = (Curv < -tola);
146 Standard_Boolean nullcsref = (CurvSref == 0.);
147
148 Standard_Boolean undef = (Angref == 100.);
149 if (undef) {
150 if (i0) {
151 if (iisj && curvneg) return M_noupdate;
152 if (!iisj && curvpos) return M_noupdate;
153 }
154 if (j0) {
155 if (!nullcsref && (j == 1) && iisj && (curvpos || nullcurv)) return M_updateREF;
156 if (!nullcsref && (j == 1) && !iisj && (curvneg || nullcurv)) return M_updateREF;
157
158 if (iisj && curvpos) return M_noupdate;
159 if (!iisj && curvneg) return M_noupdate;
160 }
161 return M_updateREF;
162 } // undef
163
164 Standard_Real cosref = Cos(Angref), cos = Cos(Ang);
165 Standard_Real dcos = Abs(cosref) - Abs(cos); Standard_Boolean samecos = Abs(dcos) < tola;
166 if (samecos) {
167 // Analysis for tangent cases : if two boundary faces are same sided
168 // and have sma dironF.
169
170 if (Abs(Curvref - Curv) < 1.e-4) {
171 if (TopAbs::Complement(Ori) == Oriref) return M_Ointernal;
172 else return (Standard_Integer ) M_Unknown; // nyi FUN_RAISE
173 }
174
175 Standard_Boolean noupdate = Standard_False;
176 if (iisj && (Curvref > Curv)) noupdate = Standard_True;
177 if (!iisj && (Curvref < Curv)) noupdate = Standard_True;
178 Standard_Integer updateref = noupdate ? M_noupdate : M_updateREF;
179 if (!j0) return updateref;
180
181 if (!noupdate && !nullcsref) {
182 // check for (j==1) the face is ABOVE Sref
183 // check for (j==2) the face is BELOW Sref
184 if ((j == 2) && (Abs(Curv) < CurvSref)) updateref = M_noupdate;
185 if ((j == 1) && (Abs(Curv) > CurvSref)) updateref = M_noupdate;
186 }
187 return updateref;
188 } // samecos
189
190 Standard_Integer updateref = (dcos > 0.)? M_noupdate : M_updateREF;
191 if (Oriref != Ori) TouchFlag = Standard_True; // eap Mar 25 2002
192
193 return updateref;
194}
195
196// ============================================================
197// methods
198// ============================================================
199
200TopTrans_SurfaceTransition::TopTrans_SurfaceTransition()
201: myAng(1,2,1,2),myCurv(1,2,1,2),myOri(1,2,1,2)
202{
203 STATIC_DEFINED = Standard_False;
204}
205
206void TopTrans_SurfaceTransition::Reset(const gp_Dir& Tgt,
207 const gp_Dir& Norm,
208 const gp_Dir& MaxD,const gp_Dir& MinD,
209 const Standard_Real MaxCurv,const Standard_Real MinCurv)
210{
211 STATIC_DEFINED = Standard_True;
212
213 Standard_Real tola = Precision::Angular();
214 Standard_Boolean curismax = (Abs(MaxD.Dot(myTgt)) < tola);
215 Standard_Boolean curismin = (Abs(MinD.Dot(myTgt)) < tola);
216
217 if ((Abs(MaxCurv) < tola) && (Abs(MinCurv) < tola)) {
218 Reset(Tgt,Norm);
219 return;
220 }
221
222 if (!curismax && !curismin) {
223 // In the plane normal to <myTgt>, we see the boundary face as
224 // a boundary curve.
225 // NYIxpu : compute the curvature of the curve if not MaxCurv
226 // nor MinCurv.
227
228 STATIC_DEFINED = Standard_False;
229 return;
230 }
231
232 if (curismax) myCurvRef = Abs(MaxCurv);
233 if (curismin) myCurvRef = Abs(MinCurv);
234 if (myCurvRef < tola) myCurvRef = 0.;
235
236 // ============================================================
237 // recall : <Norm> is oriented OUTSIDE the "geometric matter" described
238 // by the surface
239 // - if (myCurvRef != 0.) Sref is UNDER axis (sin = 0)
240 // referential (beafter,myNorm,myTgt) -
241 // ============================================================
242
243 // beafter oriented (before, after) the intersection on the reference surface.
244 myNorm = Norm;
245 myTgt = Tgt;
246 beafter = Norm^Tgt;
247 for (Standard_Integer i = 1; i <=2; i++)
248 for (Standard_Integer j = 1; j <=2; j++)
249 myAng(i,j) = 100.;
250
251 myTouchFlag = Standard_False; // eap Mar 25 2002
252}
253
254void TopTrans_SurfaceTransition::Reset(const gp_Dir& Tgt,
255 const gp_Dir& Norm)
256{
257 STATIC_DEFINED = Standard_True;
258
259 // beafter oriented (before, after) the intersection on the reference surface.
260 myNorm = Norm;
261 myTgt = Tgt;
262 beafter = Norm^Tgt;
263 for (Standard_Integer i = 1; i <=2; i++)
264 for (Standard_Integer j = 1; j <=2; j++)
265 myAng(i,j) = 100.;
266
267 myCurvRef = 0.;
268 myTouchFlag = Standard_False; // eap Mar 25 2002
269}
270
271void TopTrans_SurfaceTransition::Compare
272//(const Standard_Real Tole,
273(const Standard_Real ,
274 const gp_Dir& Norm,
275 const gp_Dir& MaxD,const gp_Dir& MinD,
276 const Standard_Real MaxCurv,const Standard_Real MinCurv,
277 const TopAbs_Orientation S,
278 const TopAbs_Orientation O)
279{
280 if (!STATIC_DEFINED) return;
281
282 Standard_Real Curv=0.;
283 // ------
284 Standard_Real tola = Precision::Angular();
285 Standard_Boolean curismax = (Abs(MaxD.Dot(myTgt)) < tola);
286 Standard_Boolean curismin = (Abs(MinD.Dot(myTgt)) < tola);
287 if (!curismax && !curismin) {
288 // In the plane normal to <myTgt>, we see the boundary face as
289 // a boundary curve.
290 // NYIxpu : compute the curvature of the curve if not MaxCurv
291 // nor MinCurv.
292
293 STATIC_DEFINED = Standard_False;
294 return;
295 }
296 if (curismax) Curv = Abs(MaxCurv);
297 if (curismin) Curv = Abs(MinCurv);
298 if (myCurvRef < tola) Curv = 0.;
299 gp_Dir dironF = FUN_nCinsideS(myTgt,Norm);
300 Standard_Real prod = (dironF^Norm).Dot(myTgt);
301 if (prod < 0.) Curv = -Curv;
302
303 Standard_Real Ang;
304 // -----
305 Ang = ::FUN_Ang(myNorm,beafter,myTgt,Norm,O);
306
307 Standard_Integer i,j;
308 // -----
309 // i = 0,1,2 : cos = 0,>0,<0
310 // j = 0,1,2 : sin = 0,>0,<0
311 ::FUN_getSTA(Ang,tola,i,j);
312
313 // update nearest :
314 // ---------------
315 Standard_Integer kmax = M_INTERNAL(O) ? 2 : 1;
316 for (Standard_Integer k=1; k <=kmax; k++) {
317 if (k == 2) {
318 // get the opposite Ang
319 i = ::FUN_OO(i);
320 j = ::FUN_OO(j);
321 }
322 Standard_Boolean i0 = (i == 0), j0 = (j == 0);
323 Standard_Integer nmax = (i0 || j0) ? 2 : 1;
324 for (Standard_Integer n=1; n<=nmax; n++) {
325 if (i0) i = n;
326 if (j0) j = n;
327
328 // if (curvref == 0.) :
329// Standard_Boolean iisj = (i == j);
330// Standard_Boolean Curvpos = (Curv > 0.);
331// if ((Curv != 0.) && i0) {
332// if (iisj && !Curvpos) continue;
333// if (!iisj && Curvpos) continue;
334// }
335// if ((Curv != 0.) && j0) {
336// if (iisj && Curvpos) continue;
337// if (!iisj && !Curvpos) continue;
338// }
339
340 Standard_Integer refn = ::FUN_refnearest(i,j,myCurvRef,myAng(i,j),myOri(i,j),myCurv(i,j),
341 Ang,/*O*/S,Curv,tola,myTouchFlag); // eap Mar 25 2002
342 if (refn == M_Unknown) {STATIC_DEFINED = Standard_False; return;}
343 if (refn > 0) {
344 myAng(i,j) = Ang;
345 myOri(i,j) = (refn == M_Ointernal) ? TopAbs_INTERNAL : S;
346 myCurv(i,j) = Curv;
347 }
348 } // n=1..nmax
349 } // k=1..kmax
350
351}
352
353void TopTrans_SurfaceTransition::Compare
354//(const Standard_Real Tole,
355(const Standard_Real ,
356 const gp_Dir& Norm,
357 const TopAbs_Orientation S,
358 const TopAbs_Orientation O)
359{
360 if (!STATIC_DEFINED) return;
361
362 // oriented Ang(beafter,dironF),
363 // dironF normal to the curve, oriented INSIDE F, the added oriented support
364 Standard_Real Ang = ::FUN_Ang(myNorm,beafter,myTgt,Norm,O);
365 Standard_Real tola = Precision::Angular(); // nyi in arg
366
367 // i = 0,1,2 : cos = 0,>0,<0
368 // j = 0,1,2 : sin = 0,>0,<0
369 Standard_Integer i,j; ::FUN_getSTA(Ang,tola,i,j);
370
371 Standard_Integer kmax = M_INTERNAL(O) ? 2 : 1;
372 for (Standard_Integer k=1; k <=kmax; k++) {
373 if (k == 2) {
374 // get the opposite Ang
375 i = ::FUN_OO(i);
376 j = ::FUN_OO(j);
377 }
378
379 Standard_Boolean i0 = (i == 0), j0 = (j == 0);
380 Standard_Integer nmax = (i0 || j0) ? 2 : 1;
381 for (Standard_Integer n=1; n<=nmax; n++) {
382 if (i0) i = n;
383 if (j0) j = n;
384
385 Standard_Integer refn = ::FUN_refnearest(myAng(i,j),myOri(i,j),
386 Ang,/*O*/S,tola); // eap
387 if (refn == M_Unknown) {STATIC_DEFINED = Standard_False; return;}
388
389 if (refn > 0) {
390 myAng(i,j) = Ang;
391 myOri(i,j) = (refn == M_Ointernal) ? TopAbs_INTERNAL : S;
392 }
393 } // n=1..nmax
394 } // k=1..kmax
395}
396
397#define BEFORE (2)
398#define AFTER (1)
399static TopAbs_State FUN_getstate(const TColStd_Array2OfReal& Ang,
400 const TopTrans_Array2OfOrientation& Ori,
401 const Standard_Integer iSTA,
402 const Standard_Integer iINDEX)
403{
404 if (!STATIC_DEFINED) return TopAbs_UNKNOWN;
405
406 Standard_Real a1 = Ang(iSTA,1), a2 = Ang(iSTA,2);
407 Standard_Boolean undef1 = (a1 == 100.), undef2 = (a2 == 100.);
408 Standard_Boolean undef = undef1 && undef2;
409 if (undef) return TopAbs_UNKNOWN;
410
411 if (undef1 || undef2) {
412 Standard_Integer jok = undef1 ? 2 : 1;
413 TopAbs_Orientation o = Ori(iSTA,jok);
414 TopAbs_State st = (iINDEX == BEFORE) ? TopTrans_SurfaceTransition::GetBefore(o) :
415 TopTrans_SurfaceTransition::GetAfter(o);
416 return st;
417 }
418
419 TopAbs_Orientation o1 = Ori(iSTA,1), o2 = Ori(iSTA,2);
420 TopAbs_State st1 = (iINDEX == BEFORE) ? TopTrans_SurfaceTransition::GetBefore(o1) :
421 TopTrans_SurfaceTransition::GetAfter(o1);
422 TopAbs_State st2 = (iINDEX == BEFORE) ? TopTrans_SurfaceTransition::GetBefore(o2) :
423 TopTrans_SurfaceTransition::GetAfter(o2);
424 if (st1 != st2) return TopAbs_UNKNOWN; // Incoherent data
425 return st1;
426}
427
428
429TopAbs_State TopTrans_SurfaceTransition::StateBefore() const
430{
431 if (!STATIC_DEFINED) return TopAbs_UNKNOWN;
432
433 // we take the state before of before orientations
434 TopAbs_State before = ::FUN_getstate(myAng,myOri,BEFORE,BEFORE);
435 if (M_UNKNOWN(before)) {
436 // looking back in before for defined states
437 // we take the state before of after orientations
438 before = ::FUN_getstate(myAng,myOri,AFTER,BEFORE);
439 // eap Mar 25 2002
eafb234b 440 if (myTouchFlag) {
7fd59977 441 if (before == TopAbs_OUT) before = TopAbs_IN;
442 else if (before == TopAbs_IN) before = TopAbs_OUT;
eafb234b 443 }
7fd59977 444 }
445 return before;
446}
447
448TopAbs_State TopTrans_SurfaceTransition::StateAfter() const
449{
450 if (!STATIC_DEFINED) return TopAbs_UNKNOWN;
451
452 TopAbs_State after = ::FUN_getstate(myAng,myOri,AFTER,AFTER);
453 if (M_UNKNOWN(after)) {
454 // looking back in before for defined states
455 after = ::FUN_getstate(myAng,myOri,BEFORE,AFTER);
456 // eap Mar 25 2002
eafb234b 457 if (myTouchFlag) {
7fd59977 458 if (after == TopAbs_OUT) after = TopAbs_IN;
459 else if (after == TopAbs_IN) after = TopAbs_OUT;
eafb234b 460 }
7fd59977 461 }
462 return after;
463}
464
465TopAbs_State TopTrans_SurfaceTransition::GetBefore
466(const TopAbs_Orientation Tran)
467{
468 if (!STATIC_DEFINED) return TopAbs_UNKNOWN;
469
470 switch (Tran)
471 {
472 case TopAbs_FORWARD :
473 case TopAbs_EXTERNAL :
474 return TopAbs_OUT;
475 case TopAbs_REVERSED :
476 case TopAbs_INTERNAL :
477 return TopAbs_IN;
478 }
479 return TopAbs_OUT;
480}
481
482TopAbs_State TopTrans_SurfaceTransition::GetAfter
483(const TopAbs_Orientation Tran)
484{
485 if (!STATIC_DEFINED) return TopAbs_UNKNOWN;
486
487 switch (Tran)
488 {
489 case TopAbs_FORWARD :
490 case TopAbs_INTERNAL :
491 return TopAbs_IN;
492 case TopAbs_REVERSED :
493 case TopAbs_EXTERNAL :
494 return TopAbs_OUT;
495 }
496 return TopAbs_OUT;
497}