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0026937: Eliminate NO_CXX_EXCEPTION macro support
[occt.git] / src / Bnd / Bnd_B3x.gxx
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b311480e 1// Created on: 2005-09-08
2// Created by: Alexander GRIGORIEV
973c2be1 3// Copyright (c) 2005-2014 OPEN CASCADE SAS
b311480e 4//
973c2be1 5// This file is part of Open CASCADE Technology software library.
b311480e 6//
d5f74e42 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
973c2be1 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.
b311480e 12//
973c2be1 13// Alternatively, this file may be used under the terms of Open CASCADE
14// commercial license or contractual agreement.
7fd59977 15
16inline Standard_Boolean _compareDist (const RealType aHSize[3],
17 const RealType aDist [3])
18{
19 return (Abs(aDist[0]) > aHSize[0] ||
20 Abs(aDist[1]) > aHSize[1] ||
21 Abs(aDist[2]) > aHSize[2]);
22}
23
24inline Standard_Boolean _compareDistD (const gp_XYZ& aHSize,const gp_XYZ& aDist)
25{
26 return (Abs(aDist.X()) > aHSize.X() ||
27 Abs(aDist.Y()) > aHSize.Y() ||
28 Abs(aDist.Z()) > aHSize.Z());
29}
30
31//=======================================================================
32//function : Add
33//purpose : Update the box by a point
34//=======================================================================
35
36void Bnd_B3x::Add (const gp_XYZ& thePnt) {
37 if (IsVoid()) {
38 myCenter[0] = RealType(thePnt.X());
39 myCenter[1] = RealType(thePnt.Y());
40 myCenter[2] = RealType(thePnt.Z());
41 myHSize [0] = 0.;
42 myHSize [1] = 0.;
43 myHSize [2] = 0.;
44 } else {
45 const RealType aDiff[3] = {
46 RealType(thePnt.X()) - myCenter[0],
47 RealType(thePnt.Y()) - myCenter[1],
48 RealType(thePnt.Z()) - myCenter[2]
49 };
50 if (aDiff[0] > myHSize[0]) {
51 const RealType aShift = (aDiff[0] - myHSize[0]) / 2;
52 myCenter[0] += aShift;
53 myHSize [0] += aShift;
54 } else if (aDiff[0] < -myHSize[0]) {
55 const RealType aShift = (aDiff[0] + myHSize[0]) / 2;
56 myCenter[0] += aShift;
57 myHSize [0] -= aShift;
58 }
59 if (aDiff[1] > myHSize[1]) {
60 const RealType aShift = (aDiff[1] - myHSize[1]) / 2;
61 myCenter[1] +=aShift;
62 myHSize [1] +=aShift;
63 } else if (aDiff[1] < -myHSize[1]) {
64 const RealType aShift = (aDiff[1] + myHSize[1]) / 2;
65 myCenter[1] += aShift;
66 myHSize [1] -= aShift;
67 }
68 if (aDiff[2] > myHSize[2]) {
69 const RealType aShift = (aDiff[2] - myHSize[2]) / 2;
70 myCenter[2] +=aShift;
71 myHSize [2] +=aShift;
72 } else if (aDiff[2] < -myHSize[2]) {
73 const RealType aShift = (aDiff[2] + myHSize[2]) / 2;
74 myCenter[2] += aShift;
75 myHSize [2] -= aShift;
76 }
77 }
78}
79
80//=======================================================================
81//function : Limit
82//purpose : limit the current box with the internals of theBox
83//=======================================================================
84
85Standard_Boolean Bnd_B3x::Limit (const Bnd_B3x& theBox)
86{
87 Standard_Boolean aResult (Standard_False);
88 const RealType diffC[3] = {
89 theBox.myCenter[0] - myCenter[0],
90 theBox.myCenter[1] - myCenter[1],
91 theBox.myCenter[2] - myCenter[2]
92 };
93 const RealType sumH[3] = {
94 theBox.myHSize[0] + myHSize[0],
95 theBox.myHSize[1] + myHSize[1],
96 theBox.myHSize[2] + myHSize[2]
97 };
98 // check the condition IsOut
99 if (_compareDist (sumH, diffC) == Standard_False) {
100 const RealType diffH[3] = {
101 theBox.myHSize[0] - myHSize[0],
102 theBox.myHSize[1] - myHSize[1],
103 theBox.myHSize[2] - myHSize[2]
104 };
105 if (diffC[0] - diffH[0] > 0.) {
106 const RealType aShift = (diffC[0] - diffH[0]) / 2; // positive
107 myCenter[0] += aShift;
108 myHSize [0] -= aShift;
109 } else if (diffC[0] + diffH[0] < 0.) {
110 const RealType aShift = (diffC[0] + diffH[0]) / 2; // negative
111 myCenter[0] += aShift;
112 myHSize [0] += aShift;
113 }
114 if (diffC[1] - diffH[1] > 0.) {
115 const RealType aShift = (diffC[1] - diffH[1]) / 2; // positive
116 myCenter[1] += aShift;
117 myHSize [1] -= aShift;
118 } else if (diffC[1] + diffH[1] < 0.) {
119 const RealType aShift = (diffC[1] + diffH[1]) / 2; // negative
120 myCenter[1] += aShift;
121 myHSize [1] += aShift;
122 }
123 if (diffC[2] - diffH[2] > 0.) {
124 const RealType aShift = (diffC[2] - diffH[2]) / 2; // positive
125 myCenter[2] += aShift;
126 myHSize [2] -= aShift;
127 } else if (diffC[2] + diffH[2] < 0.) {
128 const RealType aShift = (diffC[2] + diffH[2]) / 2; // negative
129 myCenter[2] += aShift;
130 myHSize [2] += aShift;
131 }
132 aResult = Standard_True;
133 }
134 return aResult;
135}
136
137//=======================================================================
138//function : Transformed
139//purpose :
140//=======================================================================
141
142Bnd_B3x Bnd_B3x::Transformed (const gp_Trsf& theTrsf) const
143{
144 Bnd_B3x aResult;
145 const gp_TrsfForm aForm = theTrsf.Form();
146 const Standard_Real aScale = theTrsf.ScaleFactor();
147 const Standard_Real aScaleAbs = Abs(aScale);
148 if (aForm == gp_Identity)
149 aResult = * this;
150 else if (aForm== gp_Translation || aForm== gp_PntMirror || aForm== gp_Scale)
151 {
152 aResult.myCenter[0] =
153 (RealType)(myCenter[0] * aScale + theTrsf.TranslationPart().X());
154 aResult.myCenter[1] =
155 (RealType)(myCenter[1] * aScale + theTrsf.TranslationPart().Y());
156 aResult.myCenter[2] =
157 (RealType)(myCenter[2] * aScale + theTrsf.TranslationPart().Z());
158 aResult.myHSize[0] = (RealType)(myHSize[0] * aScaleAbs);
159 aResult.myHSize[1] = (RealType)(myHSize[1] * aScaleAbs);
160 aResult.myHSize[2] = (RealType)(myHSize[2] * aScaleAbs);
161 } else {
162 gp_XYZ aCenter ((Standard_Real)myCenter[0],
163 (Standard_Real)myCenter[1],
164 (Standard_Real)myCenter[2]);
165 theTrsf.Transforms (aCenter);
166 aResult.myCenter[0] = (RealType)aCenter.X();
167 aResult.myCenter[1] = (RealType)aCenter.Y();
168 aResult.myCenter[2] = (RealType)aCenter.Z();
169
170 const Standard_Real * aMat = &theTrsf.HVectorialPart().Value(1,1);
171 aResult.myHSize[0] = (RealType)(aScaleAbs * (Abs(aMat[0]) * myHSize[0]+
172 Abs(aMat[1]) * myHSize[1]+
173 Abs(aMat[2]) * myHSize[2]));
174 aResult.myHSize[1] = (RealType)(aScaleAbs * (Abs(aMat[3]) * myHSize[0]+
175 Abs(aMat[4]) * myHSize[1]+
176 Abs(aMat[5]) * myHSize[2]));
177 aResult.myHSize[2] = (RealType)(aScaleAbs * (Abs(aMat[6]) * myHSize[0]+
178 Abs(aMat[7]) * myHSize[1]+
179 Abs(aMat[8]) * myHSize[2]));
180 }
181 return aResult;
182}
183
184//=======================================================================
185//function : IsOut
186//purpose : Intersection Box - Sphere
187//=======================================================================
188
189Standard_Boolean Bnd_B3x::IsOut (const gp_XYZ& theCenter,
190 const Standard_Real theRadius,
191 const Standard_Boolean isSphereHollow) const
192{
193 Standard_Boolean aResult (Standard_True);
194 if (isSphereHollow == Standard_False) {
195 // vector from the center of the sphere to the nearest box face
196 const Standard_Real aDist[3] = {
197 Abs(theCenter.X()-Standard_Real(myCenter[0])) - Standard_Real(myHSize[0]),
198 Abs(theCenter.Y()-Standard_Real(myCenter[1])) - Standard_Real(myHSize[1]),
199 Abs(theCenter.Z()-Standard_Real(myCenter[2])) - Standard_Real(myHSize[2])
200 };
201 Standard_Real aD (0.);
202 if (aDist[0] > 0.)
203 aD = aDist[0]*aDist[0];
204 if (aDist[1] > 0.)
205 aD += aDist[1]*aDist[1];
206 if (aDist[2] > 0.)
207 aD += aDist[2]*aDist[2];
208 aResult = (aD > theRadius*theRadius);
209 } else {
210 const Standard_Real aDistC[3] = {
211 Abs(theCenter.X()-Standard_Real(myCenter[0])),
212 Abs(theCenter.Y()-Standard_Real(myCenter[1])),
213 Abs(theCenter.Z()-Standard_Real(myCenter[2]))
214 };
215 // vector from the center of the sphere to the nearest box face
216 Standard_Real aDist[3] = {
217 aDistC[0] - Standard_Real(myHSize[0]),
218 aDistC[1] - Standard_Real(myHSize[1]),
219 aDistC[2] - Standard_Real(myHSize[2])
220 };
221 Standard_Real aD (0.);
222 if (aDist[0] > 0.)
223 aD = aDist[0]*aDist[0];
224 if (aDist[1] > 0.)
225 aD += aDist[1]*aDist[1];
226 if (aDist[2] > 0.)
227 aD += aDist[2]*aDist[2];
228 if (aD < theRadius*theRadius) {
229 // the box intersects the solid sphere; check if it is completely
230 // inside the circle (in such case return isOut==True)
231 aDist[0] = aDistC[0] + Standard_Real(myHSize[0]);
232 aDist[1] = aDistC[1] + Standard_Real(myHSize[1]);
233 aDist[2] = aDistC[2] + Standard_Real(myHSize[2]);
234 if (aDist[0]*aDist[0]+aDist[1]*aDist[1]+aDist[2]*aDist[2]
235 > theRadius*theRadius)
236 aResult = Standard_False;
237 }
238 }
239 return aResult;
240}
241
242//=======================================================================
243//function : IsOut
244//purpose : Intersection Box - transformed Box
245//=======================================================================
246
247Standard_Boolean Bnd_B3x::IsOut (const Bnd_B3x& theBox,
248 const gp_Trsf& theTrsf) const
249{
250 Standard_Boolean aResult (Standard_False);
251 const gp_TrsfForm aForm = theTrsf.Form();
252 const Standard_Real aScale = theTrsf.ScaleFactor();
253 const Standard_Real aScaleAbs = Abs(aScale);
254 if (aForm == gp_Translation || aForm == gp_Identity ||
255 aForm == gp_PntMirror || aForm == gp_Scale)
256 {
257 aResult =
258 (Abs (RealType(theBox.myCenter[0]*aScale + theTrsf.TranslationPart().X())
259 - myCenter[0])
260 > RealType (theBox.myHSize[0]*aScaleAbs) + myHSize[0] ||
261 Abs (RealType(theBox.myCenter[1]*aScale + theTrsf.TranslationPart().Y())
262 - myCenter[1])
263 > RealType (theBox.myHSize[1]*aScaleAbs) + myHSize[1] ||
264 Abs (RealType(theBox.myCenter[2]*aScale + theTrsf.TranslationPart().Y())
265 - myCenter[2])
266 > RealType (theBox.myHSize[2]*aScaleAbs) + myHSize[2]);
267
268 }
269 else {
270 // theBox is transformed and we check the resulting (enlarged) box against
271 // 'this' box.
272 const Standard_Real * aMat = &theTrsf.HVectorialPart().Value(1,1);
273
274 gp_XYZ aCenter ((Standard_Real)theBox.myCenter[0],
275 (Standard_Real)theBox.myCenter[1],
276 (Standard_Real)theBox.myCenter[2]);
277 theTrsf.Transforms (aCenter);
278 const Standard_Real aDist[3] = {
279 aCenter.X() - (Standard_Real)myCenter[0],
280 aCenter.Y() - (Standard_Real)myCenter[1],
281 aCenter.Z() - (Standard_Real)myCenter[2]
282 };
283 const Standard_Real aMatAbs[9] = {
284 Abs(aMat[0]), Abs(aMat[1]), Abs(aMat[2]), Abs(aMat[3]), Abs(aMat[4]),
285 Abs(aMat[5]), Abs(aMat[6]), Abs(aMat[7]), Abs(aMat[8])
286 };
287 if (Abs(aDist[0]) > (aScaleAbs*(aMatAbs[0]*theBox.myHSize[0]+
288 aMatAbs[1]*theBox.myHSize[1]+
289 aMatAbs[2]*theBox.myHSize[2]) +
290 (Standard_Real)myHSize[0]) ||
291 Abs(aDist[1]) > (aScaleAbs*(aMatAbs[3]*theBox.myHSize[0]+
292 aMatAbs[4]*theBox.myHSize[1]+
293 aMatAbs[5]*theBox.myHSize[2]) +
294 (Standard_Real)myHSize[1]) ||
295 Abs(aDist[2]) > (aScaleAbs*(aMatAbs[6]*theBox.myHSize[0]+
296 aMatAbs[7]*theBox.myHSize[1]+
297 aMatAbs[8]*theBox.myHSize[2]) +
298 (Standard_Real)myHSize[2]))
299 aResult = Standard_True;
300
301 else {
302 // theBox is rotated, scaled and translated. We apply the reverse
303 // translation and scaling then check against the rotated box 'this'
304 if ((Abs(aMat[0]*aDist[0]+aMat[3]*aDist[1]+aMat[6]*aDist[2])
305 > theBox.myHSize[0]*aScaleAbs + (aMatAbs[0]*myHSize[0] +
306 aMatAbs[3]*myHSize[1] +
307 aMatAbs[6]*myHSize[2])) ||
308 (Abs(aMat[1]*aDist[0]+aMat[4]*aDist[1]+aMat[7]*aDist[2])
309 > theBox.myHSize[1]*aScaleAbs + (aMatAbs[1]*myHSize[0] +
310 aMatAbs[4]*myHSize[1] +
311 aMatAbs[7]*myHSize[2])) ||
312 (Abs(aMat[2]*aDist[0]+aMat[5]*aDist[1]+aMat[8]*aDist[2])
313 > theBox.myHSize[2]*aScaleAbs + (aMatAbs[2]*myHSize[0] +
314 aMatAbs[5]*myHSize[1] +
315 aMatAbs[8]*myHSize[2])))
316 aResult = Standard_True;
317 }
318 }
319 return aResult;
320}
321
322//=======================================================================
323//function : IsOut
324//purpose :
325//=======================================================================
326
327Standard_Boolean Bnd_B3x::IsOut (const gp_Ax3& thePlane) const
328{
329 if (IsVoid())
330 return Standard_True;
331 const gp_XYZ& anOrigin = thePlane.Location().XYZ();
332 const gp_XYZ& aDir = thePlane.Direction().XYZ();
333 const gp_XYZ aBoxCenter ((Standard_Real)myCenter[0],
334 (Standard_Real)myCenter[1],
335 (Standard_Real)myCenter[2]);
336 const Standard_Real aDist0 = (aBoxCenter - anOrigin) * aDir;
337 // Find the signed distances from two opposite corners of the box to the plane
338 // If the distances are not the same sign, then the plane crosses the box
339 const Standard_Real aDist1 = // proj of HSize on aDir
340 Standard_Real(myHSize[0]) * Abs(aDir.X()) +
341 Standard_Real(myHSize[1]) * Abs(aDir.Y()) +
342 Standard_Real(myHSize[2]) * Abs(aDir.Z());
343 return ((aDist0 + aDist1) * (aDist0 - aDist1) > 0.);
344}
345
346//=======================================================================
347//function : IsOut
348//purpose :
349//=======================================================================
350
351Standard_Boolean Bnd_B3x::IsOut (const gp_Ax1& theLine,
352 const Standard_Boolean isRay,
353 const Standard_Real theOverthickness) const
354{
355 const Standard_Real aRes = gp::Resolution() * 100.;
356 if (IsVoid())
357 return Standard_True;
358 Standard_Real
359 anInter0[2] = {-RealLast(), RealLast()},
360 anInter1[2] = {-RealLast(), RealLast()};
361 const gp_XYZ& aDir = theLine.Direction().XYZ();
362 const gp_XYZ aDiff ((Standard_Real)myCenter[0] - theLine.Location().X(),
363 (Standard_Real)myCenter[1] - theLine.Location().Y(),
364 (Standard_Real)myCenter[2] - theLine.Location().Z());
365
366 // Find the parameter interval in X dimention
367 Standard_Real aHSize = (Standard_Real)myHSize[0]+theOverthickness;
368 if (aDir.X() > aRes) {
369 anInter0[0]= (aDiff.X() - aHSize) / aDir.X();
370 anInter0[1]= (aDiff.X() + aHSize) / aDir.X();
371 } else if (aDir.X() < -aRes) {
372 anInter0[0]= (aDiff.X() + aHSize) / aDir.X();
373 anInter0[1]= (aDiff.X() - aHSize) / aDir.X();
374 } else
375 // the line is orthogonal to OX axis. Test for inclusion in box limits
376 if (Abs(aDiff.X()) > aHSize)
377 return Standard_True;
378
379 // Find the parameter interval in Y dimention
380 aHSize = (Standard_Real)myHSize[1]+theOverthickness;
381 if (aDir.Y() > aRes) {
382 anInter1[0]= (aDiff.Y() - aHSize) / aDir.Y();
383 anInter1[1]= (aDiff.Y() + aHSize) / aDir.Y();
384 } else if (aDir.Y() < -aRes) {
385 anInter1[0]= (aDiff.Y() + aHSize) / aDir.Y();
386 anInter1[1]= (aDiff.Y() - aHSize) / aDir.Y();
387 } else
388 // the line is orthogonal to OY axis. Test for inclusion in box limits
389 if (Abs(aDiff.Y()) > aHSize)
390 return Standard_True;
391
392 // Intersect Y-interval with X-interval
393 if (anInter0[0] > (anInter1[1] + aRes) || anInter0[1] < (anInter1[0] - aRes))
394 return Standard_True;
395 if (anInter1[0] > anInter0[0])
396 anInter0[0] = anInter1[0];
397 if (anInter1[1] < anInter0[1])
398 anInter0[1] = anInter1[1];
399 if (isRay && anInter0[1] < -aRes)
400 return Standard_True;
401
402 // Find the parameter interval in Z dimention
403 aHSize = (Standard_Real)myHSize[2]+theOverthickness;
404 if (aDir.Z() > aRes) {
405 anInter1[0]= (aDiff.Z() - aHSize) / aDir.Z();
406 anInter1[1]= (aDiff.Z() + aHSize) / aDir.Z();
407 } else if (aDir.Z() < -aRes) {
408 anInter1[0]= (aDiff.Z() + aHSize) / aDir.Z();
409 anInter1[1]= (aDiff.Z() - aHSize) / aDir.Z();
410 } else
411 // the line is orthogonal to OZ axis. Test for inclusion in box limits
412 return (Abs(aDiff.Z()) > aHSize);
413 if (isRay && anInter1[1] < -aRes)
414 return Standard_True;
415
416 return (anInter0[0] > (anInter1[1]+aRes) || anInter0[1] < (anInter1[0]-aRes));
417}
418
419//=======================================================================
420//function : IsIn
421//purpose : Test the complete inclusion of this box in transformed theOtherBox
422//=======================================================================
423
424Standard_Boolean Bnd_B3x::IsIn (const Bnd_B3x& theBox,
425 const gp_Trsf& theTrsf) const
426{
427 Standard_Boolean aResult (Standard_False);
428 const gp_TrsfForm aForm = theTrsf.Form();
429 const Standard_Real aScale = theTrsf.ScaleFactor();
430 const Standard_Real aScaleAbs = Abs(aScale);
431 if (aForm == gp_Translation || aForm == gp_Identity ||
432 aForm == gp_PntMirror || aForm == gp_Scale)
433 {
434 aResult =
435 (Abs (RealType(theBox.myCenter[0]*aScale + theTrsf.TranslationPart().X())
436 - myCenter[0])
437 < RealType (theBox.myHSize[0]*aScaleAbs) - myHSize[0] &&
438 Abs (RealType(theBox.myCenter[1]*aScale + theTrsf.TranslationPart().Y())
439 - myCenter[1])
440 < RealType (theBox.myHSize[1]*aScaleAbs) - myHSize[1] &&
441 Abs (RealType(theBox.myCenter[2]*aScale + theTrsf.TranslationPart().Y())
442 - myCenter[2])
443 < RealType (theBox.myHSize[2]*aScaleAbs) - myHSize[2]);
444
445 } else {
446 // theBox is rotated, scaled and translated. We apply the reverse
447 // translation and scaling then check against the rotated box 'this'
448 const Standard_Real * aMat = &theTrsf.HVectorialPart().Value(1,1);
449 gp_XYZ aCenter ((Standard_Real)theBox.myCenter[0],
450 (Standard_Real)theBox.myCenter[1],
451 (Standard_Real)theBox.myCenter[2]);
452 theTrsf.Transforms (aCenter);
453 const Standard_Real aDist[3] = {
454 aCenter.X() - (Standard_Real)myCenter[0],
455 aCenter.Y() - (Standard_Real)myCenter[1],
456 aCenter.Z() - (Standard_Real)myCenter[2]
457 };
458 if ((Abs(aMat[0]*aDist[0]+aMat[3]*aDist[1]+aMat[6]*aDist[2])
459 < theBox.myHSize[0]*aScaleAbs - (Abs(aMat[0])*myHSize[0] +
460 Abs(aMat[3])*myHSize[1] +
461 Abs(aMat[6])*myHSize[2])) &&
462 (Abs(aMat[1]*aDist[0]+aMat[4]*aDist[1]+aMat[7]*aDist[2])
463 < theBox.myHSize[1]*aScaleAbs - (Abs(aMat[1])*myHSize[0] +
464 Abs(aMat[4])*myHSize[1] +
465 Abs(aMat[7])*myHSize[2])) &&
466 (Abs(aMat[2]*aDist[0]+aMat[5]*aDist[1]+aMat[8]*aDist[2])
467 < theBox.myHSize[2]*aScaleAbs - (Abs(aMat[2])*myHSize[0] +
468 Abs(aMat[5])*myHSize[1] +
469 Abs(aMat[8])*myHSize[2])))
470 aResult = Standard_True;
471 }
472 return aResult;
473}
474
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