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25 //
26 // G4CutTubs implementation
27 //
28 // 01.06.11 T.Nikitina - Derived from G4Tubs
29 // 30.10.16 E.Tcherniaev - reimplemented CalculateExtent(),
30 // removed CreateRotatedVetices()
31 // --------------------------------------------------------------------
32
33 #include "G4CutTubs.hh"
34
35 #if !defined(G4GEOM_USE_UCTUBS)
36
37 #include "G4GeomTools.hh"
38 #include "G4VoxelLimits.hh"
39 #include "G4AffineTransform.hh"
40 #include "G4GeometryTolerance.hh"
41 #include "G4BoundingEnvelope.hh"
42
43 #include "G4VPVParameterisation.hh"
44 #include "G4QuickRand.hh"
45
46 #include "G4VGraphicsScene.hh"
47 #include "G4Polyhedron.hh"
48
49 #include "G4AutoLock.hh"
50
51 namespace
52 {
53 G4Mutex zminmaxMutex = G4MUTEX_INITIALIZER;
54 }
55
56 using namespace CLHEP;
57
58 /////////////////////////////////////////////////////////////////////////
59 //
60 // Constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI
61 // - note if pdphi>2PI then reset to 2PI
62
63 G4CutTubs::G4CutTubs( const G4String &pName,
64 G4double pRMin, G4double pRMax,
65 G4double pDz,
66 G4double pSPhi, G4double pDPhi,
67 G4ThreeVector pLowNorm,G4ThreeVector pHighNorm )
68 : G4CSGSolid(pName), fRMin(pRMin), fRMax(pRMax), fDz(pDz),
69 fSPhi(0.), fDPhi(0.), fZMin(0.), fZMax(0.)
70 {
71 kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
72 kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();
73
74 halfCarTolerance = kCarTolerance*0.5;
75 halfRadTolerance = kRadTolerance*0.5;
76 halfAngTolerance = kAngTolerance*0.5;
77
78 if (pDz<=0) // Check z-len
79 {
80 std::ostringstream message;
81 message << "Negative Z half-length (" << pDz << ") in solid: " << GetName();
82 G4Exception("G4CutTubs::G4CutTubs()", "GeomSolids0002", FatalException, message);
83 }
84 if ( (pRMin >= pRMax) || (pRMin < 0) ) // Check radii
85 {
86 std::ostringstream message;
87 message << "Invalid values for radii in solid: " << GetName()
88 << G4endl
89 << " pRMin = " << pRMin << ", pRMax = " << pRMax;
90 G4Exception("G4CutTubs::G4CutTubs()", "GeomSolids0002", FatalException, message);
91 }
92
93 // Check angles
94 //
95 CheckPhiAngles(pSPhi, pDPhi);
96
97 // Check on Cutted Planes Normals
98 // If there is NO CUT, propose to use G4Tubs instead
99 //
100 if ( ( pLowNorm.x() == 0.0) && ( pLowNorm.y() == 0.0)
101 && ( pHighNorm.x() == 0.0) && (pHighNorm.y() == 0.0) )
102 {
103 std::ostringstream message;
104 message << "Inexisting Low/High Normal to Z plane or Parallel to Z."
105 << G4endl
106 << "Normals to Z plane are " << pLowNorm << " and "
107 << pHighNorm << " in solid: " << GetName() << " \n";
108 G4Exception("G4CutTubs::G4CutTubs()", "GeomSolids1001",
109 JustWarning, message, "Should use G4Tubs!");
110 }
111
112 // If Normal is (0,0,0),means parallel to R, give it value of (0,0,+/-1)
113 //
114 if (pLowNorm.mag2() == 0.) { pLowNorm.setZ(-1.); }
115 if (pHighNorm.mag2()== 0.) { pHighNorm.setZ(1.); }
116
117 // Given Normals to Cut Planes have to be an unit vectors.
118 // Normalize if it is needed.
119 //
120 if (pLowNorm.mag2() != 1.) { pLowNorm = pLowNorm.unit(); }
121 if (pHighNorm.mag2()!= 1.) { pHighNorm = pHighNorm.unit(); }
122
123 // Normals to cutted planes have to point outside Solid
124 //
125 if( (pLowNorm.mag2() != 0.) && (pHighNorm.mag2()!= 0. ) )
126 {
127 if( ( pLowNorm.z()>= 0. ) || ( pHighNorm.z() <= 0.))
128 {
129 std::ostringstream message;
130 message << "Invalid Low or High Normal to Z plane; "
131 "has to point outside Solid." << G4endl
132 << "Invalid Norm to Z plane (" << pLowNorm << " or "
133 << pHighNorm << ") in solid: " << GetName();
134 G4Exception("G4CutTubs::G4CutTubs()", "GeomSolids0002",
135 FatalException, message);
136 }
137 }
138 fLowNorm = pLowNorm;
139 fHighNorm = pHighNorm;
140
141 // Check intersection of cut planes, they MUST NOT intersect
142 // each other inside the lateral surface
143 //
144 if(IsCrossingCutPlanes())
145 {
146 std::ostringstream message;
147 message << "Invalid normals to Z plane in solid : " << GetName() << G4endl
148 << "Cut planes are crossing inside lateral surface !!!\n"
149 << " Solid type: G4CutTubs\n"
150 << " Parameters: \n"
151 << " inner radius : " << fRMin/mm << " mm \n"
152 << " outer radius : " << fRMax/mm << " mm \n"
153 << " half length Z: " << fDz/mm << " mm \n"
154 << " starting phi : " << fSPhi/degree << " degrees \n"
155 << " delta phi : " << fDPhi/degree << " degrees \n"
156 << " low Norm : " << fLowNorm << " \n"
157 << " high Norm : " << fHighNorm;
158 G4Exception("G4CutTubs::G4CutTubs()", "GeomSolids0002",
159 FatalException, message);
160 }
161 }
162
163 ///////////////////////////////////////////////////////////////////////
164 //
165 // Fake default constructor - sets only member data and allocates memory
166 // for usage restricted to object persistency.
167 //
168 G4CutTubs::G4CutTubs( __void__& a )
169 : G4CSGSolid(a)
170 {
171 }
172
173 //////////////////////////////////////////////////////////////////////////
174 //
175 // Destructor
176
177 G4CutTubs::~G4CutTubs() = default;
178
179 //////////////////////////////////////////////////////////////////////////
180 //
181 // Copy constructor
182
183 G4CutTubs::G4CutTubs(const G4CutTubs&) = default;
184
185 //////////////////////////////////////////////////////////////////////////
186 //
187 // Assignment operator
188
189 G4CutTubs& G4CutTubs::operator = (const G4CutTubs& rhs)
190 {
191 // Check assignment to self
192 //
193 if (this == &rhs) { return *this; }
194
195 // Copy base class data
196 //
197 G4CSGSolid::operator=(rhs);
198
199 // Copy data
200 //
201 kRadTolerance = rhs.kRadTolerance; kAngTolerance = rhs.kAngTolerance;
202 fRMin = rhs.fRMin; fRMax = rhs.fRMax; fDz = rhs.fDz;
203 fSPhi = rhs.fSPhi; fDPhi = rhs.fDPhi;
204 fZMin = rhs.fZMin; fZMax = rhs.fZMax;
205 sinCPhi = rhs.sinCPhi; cosCPhi = rhs.cosCPhi;
206 cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = rhs.cosHDPhiIT;
207 sinSPhi = rhs.sinSPhi; cosSPhi = rhs.cosSPhi;
208 sinEPhi = rhs.sinEPhi; cosEPhi = rhs.cosEPhi;
209 fPhiFullCutTube = rhs.fPhiFullCutTube;
210 halfCarTolerance = rhs.halfCarTolerance;
211 halfRadTolerance = rhs.halfRadTolerance;
212 halfAngTolerance = rhs.halfAngTolerance;
213 fLowNorm = rhs.fLowNorm; fHighNorm = rhs.fHighNorm;
214
215 return *this;
216 }
217
218 //////////////////////////////////////////////////////////////////////////
219 //
220 // Get volume
221
222 G4double G4CutTubs::GetCubicVolume()
223 {
224 constexpr G4int nphi = 200, nrho = 100;
225
226 if (fCubicVolume == 0.)
227 {
228 // get parameters
229 G4double rmin = GetInnerRadius();
230 G4double rmax = GetOuterRadius();
231 G4double dz = GetZHalfLength();
232 G4double sphi = GetStartPhiAngle();
233 G4double dphi = GetDeltaPhiAngle();
234
235 // calculate volume
236 G4double volume = dz*dphi*(rmax*rmax - rmin*rmin);
237 if (dphi < twopi) // make recalculation
238 {
239 // set values for calculation of h - distance between
240 // opposite points on bases
241 G4ThreeVector nbot = GetLowNorm();
242 G4ThreeVector ntop = GetHighNorm();
243 G4double nx = nbot.x()/nbot.z() - ntop.x()/ntop.z();
244 G4double ny = nbot.y()/nbot.z() - ntop.y()/ntop.z();
245
246 // compute volume by integration
247 G4double delrho = (rmax - rmin)/nrho;
248 G4double delphi = dphi/nphi;
249 volume = 0.;
250 for (G4int irho=0; irho<nrho; ++irho)
251 {
252 G4double r1 = rmin + delrho*irho;
253 G4double r2 = rmin + delrho*(irho + 1);
254 G4double rho = 0.5*(r1 + r2);
255 G4double sector = 0.5*delphi*(r2*r2 - r1*r1);
256 for (G4int iphi=0; iphi<nphi; ++iphi)
257 {
258 G4double phi = sphi + delphi*(iphi + 0.5);
259 G4double h = nx*rho*std::cos(phi) + ny*rho*std::sin(phi) + 2.*dz;
260 volume += sector*h;
261 }
262 }
263 }
264 fCubicVolume = volume;
265 }
266 return fCubicVolume;
267 }
268
269 //////////////////////////////////////////////////////////////////////////
270 //
271 // Get surface area
272
273 G4double G4CutTubs::GetSurfaceArea()
274 {
275 constexpr G4int nphi = 400;
276
277 if (fSurfaceArea == 0.)
278 {
279 // get parameters
280 G4double rmin = GetInnerRadius();
281 G4double rmax = GetOuterRadius();
282 G4double dz = GetZHalfLength();
283 G4double sphi = GetStartPhiAngle();
284 G4double dphi = GetDeltaPhiAngle();
285 G4ThreeVector nbot = GetLowNorm();
286 G4ThreeVector ntop = GetHighNorm();
287
288 // calculate lateral surface area
289 G4double sinner = 2.*dz*dphi*rmin;
290 G4double souter = 2.*dz*dphi*rmax;
291 if (dphi < twopi) // make recalculation
292 {
293 // set values for calculation of h - distance between
294 // opposite points on bases
295 G4double nx = nbot.x()/nbot.z() - ntop.x()/ntop.z();
296 G4double ny = nbot.y()/nbot.z() - ntop.y()/ntop.z();
297
298 // compute lateral surface area by integration
299 G4double delphi = dphi/nphi;
300 sinner = 0.;
301 souter = 0.;
302 for (G4int iphi=0; iphi<nphi; ++iphi)
303 {
304 G4double phi = sphi + delphi*(iphi + 0.5);
305 G4double cosphi = std::cos(phi);
306 G4double sinphi = std::sin(phi);
307 sinner += rmin*(nx*cosphi + ny*sinphi) + 2.*dz;
308 souter += rmax*(nx*cosphi + ny*sinphi) + 2.*dz;
309 }
310 sinner *= delphi*rmin;
311 souter *= delphi*rmax;
312 }
313 // set surface area
314 G4double scut = (dphi == twopi) ? 0. : 2.*dz*(rmax - rmin);
315 G4double szero = 0.5*dphi*(rmax*rmax - rmin*rmin);
316 G4double slow = szero/std::abs(nbot.z());
317 G4double shigh = szero/std::abs(ntop.z());
318 fSurfaceArea = sinner + souter + 2.*scut + slow + shigh;
319 }
320 return fSurfaceArea;
321 }
322
323 //////////////////////////////////////////////////////////////////////////
324 //
325 // Get bounding box
326
327 void G4CutTubs::BoundingLimits(G4ThreeVector& pMin, G4ThreeVector& pMax) const
328 {
329 G4double rmin = GetInnerRadius();
330 G4double rmax = GetOuterRadius();
331 G4double dz = GetZHalfLength();
332 G4double dphi = GetDeltaPhiAngle();
333
334 G4double sinSphi = GetSinStartPhi();
335 G4double cosSphi = GetCosStartPhi();
336 G4double sinEphi = GetSinEndPhi();
337 G4double cosEphi = GetCosEndPhi();
338
339 G4ThreeVector norm;
340 G4double mag, topx, topy, dists, diste;
341 G4bool iftop;
342
343 // Find Zmin
344 //
345 G4double zmin;
346 norm = GetLowNorm();
347 mag = std::sqrt(norm.x()*norm.x() + norm.y()*norm.y());
348 topx = (mag == 0) ? 0 : -rmax*norm.x()/mag;
349 topy = (mag == 0) ? 0 : -rmax*norm.y()/mag;
350 dists = sinSphi*topx - cosSphi*topy;
351 diste = -sinEphi*topx + cosEphi*topy;
352 if (dphi > pi)
353 {
354 iftop = true;
355 if (dists > 0 && diste > 0)iftop = false;
356 }
357 else
358 {
359 iftop = false;
360 if (dists <= 0 && diste <= 0) iftop = true;
361 }
362 if (iftop)
363 {
364 zmin = -(norm.x()*topx + norm.y()*topy)/norm.z() - dz;
365 }
366 else
367 {
368 G4double z1 = -rmin*(norm.x()*cosSphi + norm.y()*sinSphi)/norm.z() - dz;
369 G4double z2 = -rmin*(norm.x()*cosEphi + norm.y()*sinEphi)/norm.z() - dz;
370 G4double z3 = -rmax*(norm.x()*cosSphi + norm.y()*sinSphi)/norm.z() - dz;
371 G4double z4 = -rmax*(norm.x()*cosEphi + norm.y()*sinEphi)/norm.z() - dz;
372 zmin = std::min(std::min(std::min(z1,z2),z3),z4);
373 }
374
375 // Find Zmax
376 //
377 G4double zmax;
378 norm = GetHighNorm();
379 mag = std::sqrt(norm.x()*norm.x() + norm.y()*norm.y());
380 topx = (mag == 0) ? 0 : -rmax*norm.x()/mag;
381 topy = (mag == 0) ? 0 : -rmax*norm.y()/mag;
382 dists = sinSphi*topx - cosSphi*topy;
383 diste = -sinEphi*topx + cosEphi*topy;
384 if (dphi > pi)
385 {
386 iftop = true;
387 if (dists > 0 && diste > 0) iftop = false;
388 }
389 else
390 {
391 iftop = false;
392 if (dists <= 0 && diste <= 0) iftop = true;
393 }
394 if (iftop)
395 {
396 zmax = -(norm.x()*topx + norm.y()*topy)/norm.z() + dz;
397 }
398 else
399 {
400 G4double z1 = -rmin*(norm.x()*cosSphi + norm.y()*sinSphi)/norm.z() + dz;
401 G4double z2 = -rmin*(norm.x()*cosEphi + norm.y()*sinEphi)/norm.z() + dz;
402 G4double z3 = -rmax*(norm.x()*cosSphi + norm.y()*sinSphi)/norm.z() + dz;
403 G4double z4 = -rmax*(norm.x()*cosEphi + norm.y()*sinEphi)/norm.z() + dz;
404 zmax = std::max(std::max(std::max(z1,z2),z3),z4);
405 }
406
407 // Find bounding box
408 //
409 if (dphi < twopi)
410 {
411 G4TwoVector vmin,vmax;
412 G4GeomTools::DiskExtent(rmin,rmax,
413 GetSinStartPhi(),GetCosStartPhi(),
414 GetSinEndPhi(),GetCosEndPhi(),
415 vmin,vmax);
416 pMin.set(vmin.x(),vmin.y(), zmin);
417 pMax.set(vmax.x(),vmax.y(), zmax);
418 }
419 else
420 {
421 pMin.set(-rmax,-rmax, zmin);
422 pMax.set( rmax, rmax, zmax);
423 }
424
425 // Check correctness of the bounding box
426 //
427 if (pMin.x() >= pMax.x() || pMin.y() >= pMax.y() || pMin.z() >= pMax.z())
428 {
429 std::ostringstream message;
430 message << "Bad bounding box (min >= max) for solid: "
431 << GetName() << " !"
432 << "\npMin = " << pMin
433 << "\npMax = " << pMax;
434 G4Exception("G4CutTubs::BoundingLimits()", "GeomMgt0001",
435 JustWarning, message);
436 DumpInfo();
437 }
438 }
439
440 //////////////////////////////////////////////////////////////////////////
441 //
442 // Calculate extent under transform and specified limit
443
444 G4bool G4CutTubs::CalculateExtent( const EAxis pAxis,
445 const G4VoxelLimits& pVoxelLimit,
446 const G4AffineTransform& pTransform,
447 G4double& pMin,
448 G4double& pMax ) const
449 {
450 G4ThreeVector bmin, bmax;
451 G4bool exist;
452
453 // Get bounding box
454 BoundingLimits(bmin,bmax);
455
456 // Check bounding box
457 G4BoundingEnvelope bbox(bmin,bmax);
458 #ifdef G4BBOX_EXTENT
459 return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
460 #endif
461 if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVoxelLimit,pTransform,pMin,pMax))
462 {
463 return exist = pMin < pMax;
464 }
465
466 // Get parameters of the solid
467 G4double rmin = GetInnerRadius();
468 G4double rmax = GetOuterRadius();
469 G4double dphi = GetDeltaPhiAngle();
470 G4double zmin = bmin.z();
471 G4double zmax = bmax.z();
472
473 // Find bounding envelope and calculate extent
474 //
475 const G4int NSTEPS = 24; // number of steps for whole circle
476 G4double astep = twopi/NSTEPS; // max angle for one step
477 G4int ksteps = (dphi <= astep) ? 1 : (G4int)((dphi-deg)/astep) + 1;
478 G4double ang = dphi/ksteps;
479
480 G4double sinHalf = std::sin(0.5*ang);
481 G4double cosHalf = std::cos(0.5*ang);
482 G4double sinStep = 2.*sinHalf*cosHalf;
483 G4double cosStep = 1. - 2.*sinHalf*sinHalf;
484 G4double rext = rmax/cosHalf;
485
486 // bounding envelope for full cylinder consists of two polygons,
487 // in other cases it is a sequence of quadrilaterals
488 if (rmin == 0 && dphi == twopi)
489 {
490 G4double sinCur = sinHalf;
491 G4double cosCur = cosHalf;
492
493 G4ThreeVectorList baseA(NSTEPS),baseB(NSTEPS);
494 for (G4int k=0; k<NSTEPS; ++k)
495 {
496 baseA[k].set(rext*cosCur,rext*sinCur,zmin);
497 baseB[k].set(rext*cosCur,rext*sinCur,zmax);
498
499 G4double sinTmp = sinCur;
500 sinCur = sinCur*cosStep + cosCur*sinStep;
501 cosCur = cosCur*cosStep - sinTmp*sinStep;
502 }
503 std::vector<const G4ThreeVectorList *> polygons(2);
504 polygons[0] = &baseA;
505 polygons[1] = &baseB;
506 G4BoundingEnvelope benv(bmin,bmax,polygons);
507 exist = benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
508 }
509 else
510 {
511 G4double sinStart = GetSinStartPhi();
512 G4double cosStart = GetCosStartPhi();
513 G4double sinEnd = GetSinEndPhi();
514 G4double cosEnd = GetCosEndPhi();
515 G4double sinCur = sinStart*cosHalf + cosStart*sinHalf;
516 G4double cosCur = cosStart*cosHalf - sinStart*sinHalf;
517
518 // set quadrilaterals
519 G4ThreeVectorList pols[NSTEPS+2];
520 for (G4int k=0; k<ksteps+2; ++k) pols[k].resize(4);
521 pols[0][0].set(rmin*cosStart,rmin*sinStart,zmax);
522 pols[0][1].set(rmin*cosStart,rmin*sinStart,zmin);
523 pols[0][2].set(rmax*cosStart,rmax*sinStart,zmin);
524 pols[0][3].set(rmax*cosStart,rmax*sinStart,zmax);
525 for (G4int k=1; k<ksteps+1; ++k)
526 {
527 pols[k][0].set(rmin*cosCur,rmin*sinCur,zmax);
528 pols[k][1].set(rmin*cosCur,rmin*sinCur,zmin);
529 pols[k][2].set(rext*cosCur,rext*sinCur,zmin);
530 pols[k][3].set(rext*cosCur,rext*sinCur,zmax);
531
532 G4double sinTmp = sinCur;
533 sinCur = sinCur*cosStep + cosCur*sinStep;
534 cosCur = cosCur*cosStep - sinTmp*sinStep;
535 }
536 pols[ksteps+1][0].set(rmin*cosEnd,rmin*sinEnd,zmax);
537 pols[ksteps+1][1].set(rmin*cosEnd,rmin*sinEnd,zmin);
538 pols[ksteps+1][2].set(rmax*cosEnd,rmax*sinEnd,zmin);
539 pols[ksteps+1][3].set(rmax*cosEnd,rmax*sinEnd,zmax);
540
541 // set envelope and calculate extent
542 std::vector<const G4ThreeVectorList *> polygons;
543 polygons.resize(ksteps+2);
544 for (G4int k=0; k<ksteps+2; ++k) { polygons[k] = &pols[k]; }
545 G4BoundingEnvelope benv(bmin,bmax,polygons);
546 exist = benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
547 }
548 return exist;
549 }
550
551 //////////////////////////////////////////////////////////////////////////
552 //
553 // Return whether point inside/outside/on surface
554
555 EInside G4CutTubs::Inside( const G4ThreeVector& p ) const
556 {
557 G4ThreeVector vZ = G4ThreeVector(0,0,fDz);
558 EInside in = kInside;
559
560 // Check the lower cut plane
561 //
562 G4double zinLow =(p+vZ).dot(fLowNorm);
563 if (zinLow > halfCarTolerance) { return kOutside; }
564
565 // Check the higher cut plane
566 //
567 G4double zinHigh = (p-vZ).dot(fHighNorm);
568 if (zinHigh > halfCarTolerance) { return kOutside; }
569
570 // Check radius
571 //
572 G4double r2 = p.x()*p.x() + p.y()*p.y() ;
573
574 G4double tolRMin = fRMin - halfRadTolerance;
575 G4double tolRMax = fRMax + halfRadTolerance;
576 if ( tolRMin < 0 ) { tolRMin = 0; }
577
578 if (r2 < tolRMin*tolRMin || r2 > tolRMax*tolRMax) { return kOutside; }
579
580 // Check Phi cut
581 //
582 if(!fPhiFullCutTube)
583 {
584 if ((tolRMin == 0) && (std::fabs(p.x()) <= halfCarTolerance)
585 && (std::fabs(p.y()) <= halfCarTolerance))
586 {
587 return kSurface;
588 }
589
590 G4double phi0 = std::atan2(p.y(),p.x());
591 G4double phi1 = phi0 - twopi;
592 G4double phi2 = phi0 + twopi;
593
594 in = kOutside;
595 G4double sphi = fSPhi - halfAngTolerance;
596 G4double ephi = sphi + fDPhi + kAngTolerance;
597 if ((phi0 >= sphi && phi0 <= ephi) ||
598 (phi1 >= sphi && phi1 <= ephi) ||
599 (phi2 >= sphi && phi2 <= ephi)) in = kSurface;
600 if (in == kOutside) { return kOutside; }
601
602 sphi += kAngTolerance;
603 ephi -= kAngTolerance;
604 if ((phi0 >= sphi && phi0 <= ephi) ||
605 (phi1 >= sphi && phi1 <= ephi) ||
606 (phi2 >= sphi && phi2 <= ephi)) in = kInside;
607 if (in == kSurface) { return kSurface; }
608 }
609
610 // Check on the Surface for Z
611 //
612 if ((zinLow >= -halfCarTolerance) || (zinHigh >= -halfCarTolerance))
613 {
614 return kSurface;
615 }
616
617 // Check on the Surface for R
618 //
619 if (fRMin != 0.0) { tolRMin = fRMin + halfRadTolerance; }
620 else { tolRMin = 0; }
621 tolRMax = fRMax - halfRadTolerance;
622 if (((r2 <= tolRMin*tolRMin) || (r2 >= tolRMax*tolRMax)) &&
623 (r2 >= halfRadTolerance*halfRadTolerance))
624 {
625 return kSurface;
626 }
627
628 return in;
629 }
630
631 ///////////////////////////////////////////////////////////////////////////
632 //
633 // Return unit normal of surface closest to p
634 // - note if point on z axis, ignore phi divided sides
635 // - unsafe if point close to z axis a rmin=0 - no explicit checks
636
637 G4ThreeVector G4CutTubs::SurfaceNormal( const G4ThreeVector& p ) const
638 {
639 G4int noSurfaces = 0;
640 G4double rho, pPhi;
641 G4double distZLow,distZHigh, distRMin, distRMax;
642 G4double distSPhi = kInfinity, distEPhi = kInfinity;
643 G4ThreeVector vZ=G4ThreeVector(0,0,fDz);
644
645 G4ThreeVector norm, sumnorm(0.,0.,0.);
646 G4ThreeVector nZ = G4ThreeVector(0, 0, 1.0);
647 G4ThreeVector nR, nPs, nPe;
648
649 rho = std::sqrt(p.x()*p.x() + p.y()*p.y());
650
651 distRMin = std::fabs(rho - fRMin);
652 distRMax = std::fabs(rho - fRMax);
653
654 // dist to Low Cut
655 //
656 distZLow =std::fabs((p+vZ).dot(fLowNorm));
657
658 // dist to High Cut
659 //
660 distZHigh = std::fabs((p-vZ).dot(fHighNorm));
661
662 if (!fPhiFullCutTube) // Protected against (0,0,z)
663 {
664 if ( rho > halfCarTolerance )
665 {
666 pPhi = std::atan2(p.y(),p.x());
667
668 if(pPhi < fSPhi- halfCarTolerance) { pPhi += twopi; }
669 else if(pPhi > fSPhi+fDPhi+ halfCarTolerance) { pPhi -= twopi; }
670
671 distSPhi = std::fabs(pPhi - fSPhi);
672 distEPhi = std::fabs(pPhi - fSPhi - fDPhi);
673 }
674 else if( fRMin == 0.0 )
675 {
676 distSPhi = 0.;
677 distEPhi = 0.;
678 }
679 nPs = G4ThreeVector( sinSPhi, -cosSPhi, 0 );
680 nPe = G4ThreeVector( -sinEPhi, cosEPhi, 0 );
681 }
682 if ( rho > halfCarTolerance ) { nR = G4ThreeVector(p.x()/rho,p.y()/rho,0); }
683
684 if( distRMax <= halfCarTolerance )
685 {
686 ++noSurfaces;
687 sumnorm += nR;
688 }
689 if( (fRMin != 0.0) && (distRMin <= halfCarTolerance) )
690 {
691 ++noSurfaces;
692 sumnorm -= nR;
693 }
694 if( fDPhi < twopi )
695 {
696 if (distSPhi <= halfAngTolerance)
697 {
698 ++noSurfaces;
699 sumnorm += nPs;
700 }
701 if (distEPhi <= halfAngTolerance)
702 {
703 ++noSurfaces;
704 sumnorm += nPe;
705 }
706 }
707 if (distZLow <= halfCarTolerance)
708 {
709 ++noSurfaces;
710 sumnorm += fLowNorm;
711 }
712 if (distZHigh <= halfCarTolerance)
713 {
714 ++noSurfaces;
715 sumnorm += fHighNorm;
716 }
717 if ( noSurfaces == 0 )
718 {
719 #ifdef G4CSGDEBUG
720 G4Exception("G4CutTubs::SurfaceNormal(p)", "GeomSolids1002",
721 JustWarning, "Point p is not on surface !?" );
722 G4int oldprc = G4cout.precision(20);
723 G4cout<< "G4CutTubs::SN ( "<<p.x()<<", "<<p.y()<<", "<<p.z()<<" ); "
724 << G4endl << G4endl;
725 G4cout.precision(oldprc) ;
726 #endif
727 norm = ApproxSurfaceNormal(p);
728 }
729 else if ( noSurfaces == 1 ) { norm = sumnorm; }
730 else { norm = sumnorm.unit(); }
731
732 return norm;
733 }
734
735 /////////////////////////////////////////////////////////////////////////////
736 //
737 // Algorithm for SurfaceNormal() following the original specification
738 // for points not on the surface
739
740 G4ThreeVector G4CutTubs::ApproxSurfaceNormal( const G4ThreeVector& p ) const
741 {
742 enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNZ};
743
744 ENorm side ;
745 G4ThreeVector norm ;
746 G4double rho, phi ;
747 G4double distZLow,distZHigh,distZ;
748 G4double distRMin, distRMax, distSPhi, distEPhi, distMin ;
749 G4ThreeVector vZ=G4ThreeVector(0,0,fDz);
750
751 rho = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
752
753 distRMin = std::fabs(rho - fRMin) ;
754 distRMax = std::fabs(rho - fRMax) ;
755
756 //dist to Low Cut
757 //
758 distZLow =std::fabs((p+vZ).dot(fLowNorm));
759
760 //dist to High Cut
761 //
762 distZHigh = std::fabs((p-vZ).dot(fHighNorm));
763 distZ=std::min(distZLow,distZHigh);
764
765 if (distRMin < distRMax) // First minimum
766 {
767 if ( distZ < distRMin )
768 {
769 distMin = distZ ;
770 side = kNZ ;
771 }
772 else
773 {
774 distMin = distRMin ;
775 side = kNRMin ;
776 }
777 }
778 else
779 {
780 if ( distZ < distRMax )
781 {
782 distMin = distZ ;
783 side = kNZ ;
784 }
785 else
786 {
787 distMin = distRMax ;
788 side = kNRMax ;
789 }
790 }
791 if (!fPhiFullCutTube && (rho != 0.0) ) // Protected against (0,0,z)
792 {
793 phi = std::atan2(p.y(),p.x()) ;
794
795 if ( phi < 0 ) { phi += twopi; }
796
797 if ( fSPhi < 0 )
798 {
799 distSPhi = std::fabs(phi - (fSPhi + twopi))*rho ;
800 }
801 else
802 {
803 distSPhi = std::fabs(phi - fSPhi)*rho ;
804 }
805 distEPhi = std::fabs(phi - fSPhi - fDPhi)*rho ;
806
807 if (distSPhi < distEPhi) // Find new minimum
808 {
809 if ( distSPhi < distMin )
810 {
811 side = kNSPhi ;
812 }
813 }
814 else
815 {
816 if ( distEPhi < distMin )
817 {
818 side = kNEPhi ;
819 }
820 }
821 }
822 switch ( side )
823 {
824 case kNRMin : // Inner radius
825 {
826 norm = G4ThreeVector(-p.x()/rho, -p.y()/rho, 0) ;
827 break ;
828 }
829 case kNRMax : // Outer radius
830 {
831 norm = G4ThreeVector(p.x()/rho, p.y()/rho, 0) ;
832 break ;
833 }
834 case kNZ : // + or - dz
835 {
836 if ( distZHigh > distZLow ) { norm = fHighNorm ; }
837 else { norm = fLowNorm; }
838 break ;
839 }
840 case kNSPhi:
841 {
842 norm = G4ThreeVector(sinSPhi, -cosSPhi, 0) ;
843 break ;
844 }
845 case kNEPhi:
846 {
847 norm = G4ThreeVector(-sinEPhi, cosEPhi, 0) ;
848 break;
849 }
850 default: // Should never reach this case ...
851 {
852 DumpInfo();
853 G4Exception("G4CutTubs::ApproxSurfaceNormal()",
854 "GeomSolids1002", JustWarning,
855 "Undefined side for valid surface normal to solid.");
856 break ;
857 }
858 }
859 return norm;
860 }
861
862 ////////////////////////////////////////////////////////////////////
863 //
864 //
865 // Calculate distance to shape from outside, along normalised vector
866 // - return kInfinity if no intersection, or intersection distance <= tolerance
867 //
868 // - Compute the intersection with the z planes
869 // - if at valid r, phi, return
870 //
871 // -> If point is outer outer radius, compute intersection with rmax
872 // - if at valid phi,z return
873 //
874 // -> Compute intersection with inner radius, taking largest +ve root
875 // - if valid (in z,phi), save intersction
876 //
877 // -> If phi segmented, compute intersections with phi half planes
878 // - return smallest of valid phi intersections and
879 // inner radius intersection
880 //
881 // NOTE:
882 // - 'if valid' implies tolerant checking of intersection points
883
884 G4double G4CutTubs::DistanceToIn( const G4ThreeVector& p,
885 const G4ThreeVector& v ) const
886 {
887 G4double snxt = kInfinity ; // snxt = default return value
888 G4double tolORMin2, tolIRMax2 ; // 'generous' radii squared
889 G4double tolORMax2, tolIRMin2;
890 const G4double dRmax = 100.*fRMax;
891 G4ThreeVector vZ=G4ThreeVector(0,0,fDz);
892
893 // Intersection point variables
894 //
895 G4double Dist, sd=0, xi, yi, zi, rho2, inum, iden, cosPsi, Comp,calf ;
896 G4double t1, t2, t3, b, c, d ; // Quadratic solver variables
897 G4double distZLow,distZHigh;
898 // Calculate tolerant rmin and rmax
899
900 if (fRMin > kRadTolerance)
901 {
902 tolORMin2 = (fRMin - halfRadTolerance)*(fRMin - halfRadTolerance) ;
903 tolIRMin2 = (fRMin + halfRadTolerance)*(fRMin + halfRadTolerance) ;
904 }
905 else
906 {
907 tolORMin2 = 0.0 ;
908 tolIRMin2 = 0.0 ;
909 }
910 tolORMax2 = (fRMax + halfRadTolerance)*(fRMax + halfRadTolerance) ;
911 tolIRMax2 = (fRMax - halfRadTolerance)*(fRMax - halfRadTolerance) ;
912
913 // Intersection with ZCut surfaces
914
915 // dist to Low Cut
916 //
917 distZLow =(p+vZ).dot(fLowNorm);
918
919 // dist to High Cut
920 //
921 distZHigh = (p-vZ).dot(fHighNorm);
922
923 if ( distZLow >= -halfCarTolerance )
924 {
925 calf = v.dot(fLowNorm);
926 if (calf<0)
927 {
928 sd = -distZLow/calf;
929 if(sd < 0.0) { sd = 0.0; }
930
931 xi = p.x() + sd*v.x() ; // Intersection coords
932 yi = p.y() + sd*v.y() ;
933 rho2 = xi*xi + yi*yi ;
934
935 // Check validity of intersection
936
937 if ((tolIRMin2 <= rho2) && (rho2 <= tolIRMax2))
938 {
939 if (!fPhiFullCutTube && (rho2 != 0.0))
940 {
941 // Psi = angle made with central (average) phi of shape
942 //
943 inum = xi*cosCPhi + yi*sinCPhi ;
944 iden = std::sqrt(rho2) ;
945 cosPsi = inum/iden ;
946 if (cosPsi >= cosHDPhiIT) { return sd ; }
947 }
948 else
949 {
950 return sd ;
951 }
952 }
953 }
954 else
955 {
956 if ( sd<halfCarTolerance )
957 {
958 if(calf>=0) { sd=kInfinity; }
959 return sd ; // On/outside extent, and heading away
960 } // -> cannot intersect
961 }
962 }
963
964 if(distZHigh >= -halfCarTolerance )
965 {
966 calf = v.dot(fHighNorm);
967 if (calf<0)
968 {
969 sd = -distZHigh/calf;
970
971 if(sd < 0.0) { sd = 0.0; }
972
973 xi = p.x() + sd*v.x() ; // Intersection coords
974 yi = p.y() + sd*v.y() ;
975 rho2 = xi*xi + yi*yi ;
976
977 // Check validity of intersection
978
979 if ((tolIRMin2 <= rho2) && (rho2 <= tolIRMax2))
980 {
981 if (!fPhiFullCutTube && (rho2 != 0.0))
982 {
983 // Psi = angle made with central (average) phi of shape
984 //
985 inum = xi*cosCPhi + yi*sinCPhi ;
986 iden = std::sqrt(rho2) ;
987 cosPsi = inum/iden ;
988 if (cosPsi >= cosHDPhiIT) { return sd ; }
989 }
990 else
991 {
992 return sd ;
993 }
994 }
995 }
996 else
997 {
998 if ( sd<halfCarTolerance )
999 {
1000 if(calf>=0) { sd=kInfinity; }
1001 return sd ; // On/outside extent, and heading away
1002 } // -> cannot intersect
1003 }
1004 }
1005
1006 // -> Can not intersect z surfaces
1007 //
1008 // Intersection with rmax (possible return) and rmin (must also check phi)
1009 //
1010 // Intersection point (xi,yi,zi) on line x=p.x+t*v.x etc.
1011 //
1012 // Intersects with x^2+y^2=R^2
1013 //
1014 // Hence (v.x^2+v.y^2)t^2+ 2t(p.x*v.x+p.y*v.y)+p.x^2+p.y^2-R^2=0
1015 // t1 t2 t3
1016
1017 t1 = 1.0 - v.z()*v.z() ;
1018 t2 = p.x()*v.x() + p.y()*v.y() ;
1019 t3 = p.x()*p.x() + p.y()*p.y() ;
1020 if ( t1 > 0 ) // Check not || to z axis
1021 {
1022 b = t2/t1 ;
1023 c = t3 - fRMax*fRMax ;
1024
1025 if ((t3 >= tolORMax2) && (t2<0)) // This also handles the tangent case
1026 {
1027 // Try outer cylinder intersection, c=(t3-fRMax*fRMax)/t1;
1028
1029 c /= t1 ;
1030 d = b*b - c ;
1031
1032 if (d >= 0) // If real root
1033 {
1034 sd = c/(-b+std::sqrt(d));
1035 if (sd >= 0) // If 'forwards'
1036 {
1037 if ( sd>dRmax ) // Avoid rounding errors due to precision issues on
1038 { // 64 bits systems. Split long distances and recompute
1039 G4double fTerm = sd-std::fmod(sd,dRmax);
1040 sd = fTerm + DistanceToIn(p+fTerm*v,v);
1041 }
1042 // Check z intersection
1043 //
1044 zi = p.z() + sd*v.z() ;
1045 xi = p.x() + sd*v.x() ;
1046 yi = p.y() + sd*v.y() ;
1047 if ((-xi*fLowNorm.x()-yi*fLowNorm.y()
1048 -(zi+fDz)*fLowNorm.z())>-halfCarTolerance)
1049 {
1050 if ((-xi*fHighNorm.x()-yi*fHighNorm.y()
1051 +(fDz-zi)*fHighNorm.z())>-halfCarTolerance)
1052 {
1053 // Z ok. Check phi intersection if reqd
1054 //
1055 if (fPhiFullCutTube)
1056 {
1057 return sd ;
1058 }
1059 else
1060 {
1061 xi = p.x() + sd*v.x() ;
1062 yi = p.y() + sd*v.y() ;
1063 cosPsi = (xi*cosCPhi + yi*sinCPhi)/fRMax ;
1064 if (cosPsi >= cosHDPhiIT) { return sd ; }
1065 }
1066 } // end if std::fabs(zi)
1067 }
1068 } // end if (sd>=0)
1069 } // end if (d>=0)
1070 } // end if (r>=fRMax)
1071 else
1072 {
1073 // Inside outer radius :
1074 // check not inside, and heading through tubs (-> 0 to in)
1075 if ((t3 > tolIRMin2) && (t2 < 0)
1076 && (std::fabs(p.z()) <= std::fabs(GetCutZ(p))-halfCarTolerance ))
1077 {
1078 // Inside both radii, delta r -ve, inside z extent
1079
1080 if (!fPhiFullCutTube)
1081 {
1082 inum = p.x()*cosCPhi + p.y()*sinCPhi ;
1083 iden = std::sqrt(t3) ;
1084 cosPsi = inum/iden ;
1085 if (cosPsi >= cosHDPhiIT)
1086 {
1087 // In the old version, the small negative tangent for the point
1088 // on surface was not taken in account, and returning 0.0 ...
1089 // New version: check the tangent for the point on surface and
1090 // if no intersection, return kInfinity, if intersection instead
1091 // return sd.
1092 //
1093 c = t3-fRMax*fRMax;
1094 if ( c<=0.0 )
1095 {
1096 return 0.0;
1097 }
1098 else
1099 {
1100 c = c/t1 ;
1101 d = b*b-c;
1102 if ( d>=0.0 )
1103 {
1104 snxt = c/(-b+std::sqrt(d)); // using safe solution
1105 // for quadratic equation
1106 if ( snxt < halfCarTolerance ) { snxt=0; }
1107 return snxt ;
1108 }
1109 else
1110 {
1111 return kInfinity;
1112 }
1113 }
1114 }
1115 }
1116 else
1117 {
1118 // In the old version, the small negative tangent for the point
1119 // on surface was not taken in account, and returning 0.0 ...
1120 // New version: check the tangent for the point on surface and
1121 // if no intersection, return kInfinity, if intersection instead
1122 // return sd.
1123 //
1124 c = t3 - fRMax*fRMax;
1125 if ( c<=0.0 )
1126 {
1127 return 0.0;
1128 }
1129 else
1130 {
1131 c = c/t1 ;
1132 d = b*b-c;
1133 if ( d>=0.0 )
1134 {
1135 snxt= c/(-b+std::sqrt(d)); // using safe solution
1136 // for quadratic equation
1137 if ( snxt < halfCarTolerance ) { snxt=0; }
1138 return snxt ;
1139 }
1140 else
1141 {
1142 return kInfinity;
1143 }
1144 }
1145 } // end if (!fPhiFullCutTube)
1146 } // end if (t3>tolIRMin2)
1147 } // end if (Inside Outer Radius)
1148
1149 if ( fRMin != 0.0 ) // Try inner cylinder intersection
1150 {
1151 c = (t3 - fRMin*fRMin)/t1 ;
1152 d = b*b - c ;
1153 if ( d >= 0.0 ) // If real root
1154 {
1155 // Always want 2nd root - we are outside and know rmax Hit was bad
1156 // - If on surface of rmin also need farthest root
1157
1158 sd =( b > 0. )? c/(-b - std::sqrt(d)) : (-b + std::sqrt(d));
1159 if (sd >= -10*halfCarTolerance) // check forwards
1160 {
1161 // Check z intersection
1162 //
1163 if (sd < 0.0) { sd = 0.0; }
1164 if (sd>dRmax) // Avoid rounding errors due to precision issues seen
1165 { // 64 bits systems. Split long distances and recompute
1166 G4double fTerm = sd-std::fmod(sd,dRmax);
1167 sd = fTerm + DistanceToIn(p+fTerm*v,v);
1168 }
1169 zi = p.z() + sd*v.z() ;
1170 xi = p.x() + sd*v.x() ;
1171 yi = p.y() + sd*v.y() ;
1172 if ((-xi*fLowNorm.x()-yi*fLowNorm.y()
1173 -(zi+fDz)*fLowNorm.z())>-halfCarTolerance)
1174 {
1175 if ((-xi*fHighNorm.x()-yi*fHighNorm.y()
1176 +(fDz-zi)*fHighNorm.z())>-halfCarTolerance)
1177 {
1178 // Z ok. Check phi
1179 //
1180 if ( fPhiFullCutTube )
1181 {
1182 return sd ;
1183 }
1184 else
1185 {
1186 cosPsi = (xi*cosCPhi + yi*sinCPhi)/fRMin ;
1187 if (cosPsi >= cosHDPhiIT)
1188 {
1189 // Good inner radius isect
1190 // - but earlier phi isect still possible
1191 //
1192 snxt = sd ;
1193 }
1194 }
1195 } // end if std::fabs(zi)
1196 }
1197 } // end if (sd>=0)
1198 } // end if (d>=0)
1199 } // end if (fRMin)
1200 }
1201
1202 // Phi segment intersection
1203 //
1204 // o Tolerant of points inside phi planes by up to kCarTolerance*0.5
1205 //
1206 // o NOTE: Large duplication of code between sphi & ephi checks
1207 // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane
1208 // intersection check <=0 -> >=0
1209 // -> use some form of loop Construct ?
1210 //
1211 if ( !fPhiFullCutTube )
1212 {
1213 // First phi surface (Starting phi)
1214 //
1215 Comp = v.x()*sinSPhi - v.y()*cosSPhi ;
1216
1217 if ( Comp < 0 ) // Component in outwards normal dirn
1218 {
1219 Dist = (p.y()*cosSPhi - p.x()*sinSPhi) ;
1220
1221 if ( Dist < halfCarTolerance )
1222 {
1223 sd = Dist/Comp ;
1224
1225 if (sd < snxt)
1226 {
1227 if ( sd < 0 ) { sd = 0.0; }
1228 zi = p.z() + sd*v.z() ;
1229 xi = p.x() + sd*v.x() ;
1230 yi = p.y() + sd*v.y() ;
1231 if ((-xi*fLowNorm.x()-yi*fLowNorm.y()
1232 -(zi+fDz)*fLowNorm.z())>-halfCarTolerance)
1233 {
1234 if ((-xi*fHighNorm.x()-yi*fHighNorm.y()
1235 +(fDz-zi)*fHighNorm.z())>-halfCarTolerance)
1236 {
1237 rho2 = xi*xi + yi*yi ;
1238 if ( ( (rho2 >= tolIRMin2) && (rho2 <= tolIRMax2) )
1239 || ( (rho2 > tolORMin2) && (rho2 < tolIRMin2)
1240 && ( v.y()*cosSPhi - v.x()*sinSPhi > 0 )
1241 && ( v.x()*cosSPhi + v.y()*sinSPhi >= 0 ) )
1242 || ( (rho2 > tolIRMax2) && (rho2 < tolORMax2)
1243 && (v.y()*cosSPhi - v.x()*sinSPhi > 0)
1244 && (v.x()*cosSPhi + v.y()*sinSPhi < 0) ) )
1245 {
1246 // z and r intersections good
1247 // - check intersecting with correct half-plane
1248 //
1249 if ((yi*cosCPhi-xi*sinCPhi) <= halfCarTolerance) { snxt = sd; }
1250 }
1251 } //two Z conditions
1252 }
1253 }
1254 }
1255 }
1256
1257 // Second phi surface (Ending phi)
1258 //
1259 Comp = -(v.x()*sinEPhi - v.y()*cosEPhi) ;
1260
1261 if (Comp < 0 ) // Component in outwards normal dirn
1262 {
1263 Dist = -(p.y()*cosEPhi - p.x()*sinEPhi) ;
1264
1265 if ( Dist < halfCarTolerance )
1266 {
1267 sd = Dist/Comp ;
1268
1269 if (sd < snxt)
1270 {
1271 if ( sd < 0 ) { sd = 0; }
1272 zi = p.z() + sd*v.z() ;
1273 xi = p.x() + sd*v.x() ;
1274 yi = p.y() + sd*v.y() ;
1275 if ((-xi*fLowNorm.x()-yi*fLowNorm.y()
1276 -(zi+fDz)*fLowNorm.z())>-halfCarTolerance)
1277 {
1278 if ((-xi*fHighNorm.x()-yi*fHighNorm.y()
1279 +(fDz-zi)*fHighNorm.z())>-halfCarTolerance)
1280 {
1281 xi = p.x() + sd*v.x() ;
1282 yi = p.y() + sd*v.y() ;
1283 rho2 = xi*xi + yi*yi ;
1284 if ( ( (rho2 >= tolIRMin2) && (rho2 <= tolIRMax2) )
1285 || ( (rho2 > tolORMin2) && (rho2 < tolIRMin2)
1286 && (v.x()*sinEPhi - v.y()*cosEPhi > 0)
1287 && (v.x()*cosEPhi + v.y()*sinEPhi >= 0) )
1288 || ( (rho2 > tolIRMax2) && (rho2 < tolORMax2)
1289 && (v.x()*sinEPhi - v.y()*cosEPhi > 0)
1290 && (v.x()*cosEPhi + v.y()*sinEPhi < 0) ) )
1291 {
1292 // z and r intersections good
1293 // - check intersecting with correct half-plane
1294 //
1295 if ( (yi*cosCPhi-xi*sinCPhi) >= -halfCarTolerance )
1296 {
1297 snxt = sd;
1298 }
1299 } //?? >=-halfCarTolerance
1300 }
1301 } // two Z conditions
1302 }
1303 }
1304 } // Comp < 0
1305 } // !fPhiFullTube
1306 if ( snxt<halfCarTolerance ) { snxt=0; }
1307
1308 return snxt ;
1309 }
1310
1311 //////////////////////////////////////////////////////////////////
1312 //
1313 // Calculate distance to shape from outside, along normalised vector
1314 // - return kInfinity if no intersection, or intersection distance <= tolerance
1315 //
1316 // - Compute the intersection with the z planes
1317 // - if at valid r, phi, return
1318 //
1319 // -> If point is outer outer radius, compute intersection with rmax
1320 // - if at valid phi,z return
1321 //
1322 // -> Compute intersection with inner radius, taking largest +ve root
1323 // - if valid (in z,phi), save intersction
1324 //
1325 // -> If phi segmented, compute intersections with phi half planes
1326 // - return smallest of valid phi intersections and
1327 // inner radius intersection
1328 //
1329 // NOTE:
1330 // - Precalculations for phi trigonometry are Done `just in time'
1331 // - `if valid' implies tolerant checking of intersection points
1332 // Calculate distance (<= actual) to closest surface of shape from outside
1333 // - Calculate distance to z, radial planes
1334 // - Only to phi planes if outside phi extent
1335 // - Return 0 if point inside
1336
1337 G4double G4CutTubs::DistanceToIn( const G4ThreeVector& p ) const
1338 {
1339 G4double safRMin,safRMax,safZLow,safZHigh,safePhi,safe,rho,cosPsi;
1340 G4ThreeVector vZ=G4ThreeVector(0,0,fDz);
1341
1342 // Distance to R
1343 //
1344 rho = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
1345
1346 safRMin = fRMin- rho ;
1347 safRMax = rho - fRMax ;
1348
1349 // Distances to ZCut(Low/High)
1350
1351 // Dist to Low Cut
1352 //
1353 safZLow = (p+vZ).dot(fLowNorm);
1354
1355 // Dist to High Cut
1356 //
1357 safZHigh = (p-vZ).dot(fHighNorm);
1358
1359 safe = std::max(safZLow,safZHigh);
1360
1361 if ( safRMin > safe ) { safe = safRMin; }
1362 if ( safRMax> safe ) { safe = safRMax; }
1363
1364 // Distance to Phi
1365 //
1366 if ( (!fPhiFullCutTube) && ((rho) != 0.0) )
1367 {
1368 // Psi=angle from central phi to point
1369 //
1370 cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/rho ;
1371
1372 if ( cosPsi < cosHDPhi )
1373 {
1374 // Point lies outside phi range
1375
1376 if ( (p.y()*cosCPhi - p.x()*sinCPhi) <= 0 )
1377 {
1378 safePhi = std::fabs(p.x()*sinSPhi - p.y()*cosSPhi) ;
1379 }
1380 else
1381 {
1382 safePhi = std::fabs(p.x()*sinEPhi - p.y()*cosEPhi) ;
1383 }
1384 if ( safePhi > safe ) { safe = safePhi; }
1385 }
1386 }
1387 if ( safe < 0 ) { safe = 0; }
1388
1389 return safe ;
1390 }
1391
1392 //////////////////////////////////////////////////////////////////////////////
1393 //
1394 // Calculate distance to surface of shape from `inside', allowing for tolerance
1395 // - Only Calc rmax intersection if no valid rmin intersection
1396
1397 G4double G4CutTubs::DistanceToOut( const G4ThreeVector& p,
1398 const G4ThreeVector& v,
1399 const G4bool calcNorm,
1400 G4bool* validNorm,
1401 G4ThreeVector* n ) const
1402 {
1403 enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kPZ,kMZ};
1404
1405 ESide side=kNull , sider=kNull, sidephi=kNull ;
1406 G4double snxt=kInfinity, srd=kInfinity,sz=kInfinity, sphi=kInfinity ;
1407 G4double deltaR, t1, t2, t3, b, c, d2, roMin2 ;
1408 G4double distZLow,distZHigh,calfH,calfL;
1409 G4ThreeVector vZ=G4ThreeVector(0,0,fDz);
1410
1411 // Vars for phi intersection:
1412 //
1413 G4double pDistS, compS, pDistE, compE, sphi2, xi, yi, vphi, roi2 ;
1414
1415 // Z plane intersection
1416 // Distances to ZCut(Low/High)
1417
1418 // dist to Low Cut
1419 //
1420 distZLow =(p+vZ).dot(fLowNorm);
1421
1422 // dist to High Cut
1423 //
1424 distZHigh = (p-vZ).dot(fHighNorm);
1425
1426 calfH = v.dot(fHighNorm);
1427 calfL = v.dot(fLowNorm);
1428
1429 if (calfH > 0 )
1430 {
1431 if ( distZHigh < halfCarTolerance )
1432 {
1433 snxt = -distZHigh/calfH ;
1434 side = kPZ ;
1435 }
1436 else
1437 {
1438 if (calcNorm)
1439 {
1440 *n = G4ThreeVector(0,0,1) ;
1441 *validNorm = true ;
1442 }
1443 return snxt = 0 ;
1444 }
1445 }
1446 if ( calfL>0)
1447 {
1448
1449 if ( distZLow < halfCarTolerance )
1450 {
1451 sz = -distZLow/calfL ;
1452 if(sz<snxt){
1453 snxt=sz;
1454 side = kMZ ;
1455 }
1456
1457 }
1458 else
1459 {
1460 if (calcNorm)
1461 {
1462 *n = G4ThreeVector(0,0,-1) ;
1463 *validNorm = true ;
1464 }
1465 return snxt = 0.0 ;
1466 }
1467 }
1468 if((calfH<=0)&&(calfL<=0))
1469 {
1470 snxt = kInfinity ; // Travel perpendicular to z axis
1471 side = kNull;
1472 }
1473 // Radial Intersections
1474 //
1475 // Find intersection with cylinders at rmax/rmin
1476 // Intersection point (xi,yi,zi) on line x=p.x+t*v.x etc.
1477 //
1478 // Intersects with x^2+y^2=R^2
1479 //
1480 // Hence (v.x^2+v.y^2)t^2+ 2t(p.x*v.x+p.y*v.y)+p.x^2+p.y^2-R^2=0
1481 //
1482 // t1 t2 t3
1483
1484 t1 = 1.0 - v.z()*v.z() ; // since v normalised
1485 t2 = p.x()*v.x() + p.y()*v.y() ;
1486 t3 = p.x()*p.x() + p.y()*p.y() ;
1487
1488 if ( snxt > 10*(fDz+fRMax) ) { roi2 = 2*fRMax*fRMax; }
1489 else { roi2 = snxt*snxt*t1 + 2*snxt*t2 + t3; } // radius^2 on +-fDz
1490
1491 if ( t1 > 0 ) // Check not parallel
1492 {
1493 // Calculate srd, r exit distance
1494
1495 if ( (t2 >= 0.0) && (roi2 > fRMax*(fRMax + kRadTolerance)) )
1496 {
1497 // Delta r not negative => leaving via rmax
1498
1499 deltaR = t3 - fRMax*fRMax ;
1500
1501 // NOTE: Should use rho-fRMax<-kRadTolerance*0.5
1502 // - avoid sqrt for efficiency
1503
1504 if ( deltaR < -kRadTolerance*fRMax )
1505 {
1506 b = t2/t1 ;
1507 c = deltaR/t1 ;
1508 d2 = b*b-c;
1509 if( d2 >= 0 ) { srd = c/( -b - std::sqrt(d2)); }
1510 else { srd = 0.; }
1511 sider = kRMax ;
1512 }
1513 else
1514 {
1515 // On tolerant boundary & heading outwards (or perpendicular to)
1516 // outer radial surface -> leaving immediately
1517
1518 if ( calcNorm )
1519 {
1520 *n = G4ThreeVector(p.x()/fRMax,p.y()/fRMax,0) ;
1521 *validNorm = true ;
1522 }
1523 return snxt = 0 ; // Leaving by rmax immediately
1524 }
1525 }
1526 else if ( t2 < 0. ) // i.e. t2 < 0; Possible rmin intersection
1527 {
1528 roMin2 = t3 - t2*t2/t1 ; // min ro2 of the plane of movement
1529
1530 if ( (fRMin != 0.0) && (roMin2 < fRMin*(fRMin - kRadTolerance)) )
1531 {
1532 deltaR = t3 - fRMin*fRMin ;
1533 b = t2/t1 ;
1534 c = deltaR/t1 ;
1535 d2 = b*b - c ;
1536
1537 if ( d2 >= 0 ) // Leaving via rmin
1538 {
1539 // NOTE: SHould use rho-rmin>kRadTolerance*0.5
1540 // - avoid sqrt for efficiency
1541
1542 if (deltaR > kRadTolerance*fRMin)
1543 {
1544 srd = c/(-b+std::sqrt(d2));
1545 sider = kRMin ;
1546 }
1547 else
1548 {
1549 if ( calcNorm ) { *validNorm = false; } // Concave side
1550 return snxt = 0.0;
1551 }
1552 }
1553 else // No rmin intersect -> must be rmax intersect
1554 {
1555 deltaR = t3 - fRMax*fRMax ;
1556 c = deltaR/t1 ;
1557 d2 = b*b-c;
1558 if( d2 >=0. )
1559 {
1560 srd = -b + std::sqrt(d2) ;
1561 sider = kRMax ;
1562 }
1563 else // Case: On the border+t2<kRadTolerance
1564 // (v is perpendicular to the surface)
1565 {
1566 if (calcNorm)
1567 {
1568 *n = G4ThreeVector(p.x()/fRMax,p.y()/fRMax,0) ;
1569 *validNorm = true ;
1570 }
1571 return snxt = 0.0;
1572 }
1573 }
1574 }
1575 else if ( roi2 > fRMax*(fRMax + kRadTolerance) )
1576 // No rmin intersect -> must be rmax intersect
1577 {
1578 deltaR = t3 - fRMax*fRMax ;
1579 b = t2/t1 ;
1580 c = deltaR/t1;
1581 d2 = b*b-c;
1582 if( d2 >= 0 )
1583 {
1584 srd = -b + std::sqrt(d2) ;
1585 sider = kRMax ;
1586 }
1587 else // Case: On the border+t2<kRadTolerance
1588 // (v is perpendicular to the surface)
1589 {
1590 if (calcNorm)
1591 {
1592 *n = G4ThreeVector(p.x()/fRMax,p.y()/fRMax,0) ;
1593 *validNorm = true ;
1594 }
1595 return snxt = 0.0;
1596 }
1597 }
1598 }
1599 // Phi Intersection
1600
1601 if ( !fPhiFullCutTube )
1602 {
1603 // add angle calculation with correction
1604 // of the difference in domain of atan2 and Sphi
1605 //
1606 vphi = std::atan2(v.y(),v.x()) ;
1607
1608 if ( vphi < fSPhi - halfAngTolerance ) { vphi += twopi; }
1609 else if ( vphi > fSPhi + fDPhi + halfAngTolerance ) { vphi -= twopi; }
1610
1611
1612 if ( (p.x() != 0.0) || (p.y() != 0.0) ) // Check if on z axis (rho not needed later)
1613 {
1614 // pDist -ve when inside
1615
1616 pDistS = p.x()*sinSPhi - p.y()*cosSPhi ;
1617 pDistE = -p.x()*sinEPhi + p.y()*cosEPhi ;
1618
1619 // Comp -ve when in direction of outwards normal
1620
1621 compS = -sinSPhi*v.x() + cosSPhi*v.y() ;
1622 compE = sinEPhi*v.x() - cosEPhi*v.y() ;
1623
1624 sidephi = kNull;
1625
1626 if( ( (fDPhi <= pi) && ( (pDistS <= halfCarTolerance)
1627 && (pDistE <= halfCarTolerance) ) )
1628 || ( (fDPhi > pi) && ((pDistS <= halfCarTolerance)
1629 || (pDistE <= halfCarTolerance) ) ) )
1630 {
1631 // Inside both phi *full* planes
1632
1633 if ( compS < 0 )
1634 {
1635 sphi = pDistS/compS ;
1636
1637 if (sphi >= -halfCarTolerance)
1638 {
1639 xi = p.x() + sphi*v.x() ;
1640 yi = p.y() + sphi*v.y() ;
1641
1642 // Check intersecting with correct half-plane
1643 // (if not -> no intersect)
1644 //
1645 if( (std::fabs(xi)<=kCarTolerance)
1646 && (std::fabs(yi)<=kCarTolerance) )
1647 {
1648 sidephi = kSPhi;
1649 if (((fSPhi-halfAngTolerance)<=vphi)
1650 &&((fSPhi+fDPhi+halfAngTolerance)>=vphi))
1651 {
1652 sphi = kInfinity;
1653 }
1654 }
1655 else if ( yi*cosCPhi-xi*sinCPhi >=0 )
1656 {
1657 sphi = kInfinity ;
1658 }
1659 else
1660 {
1661 sidephi = kSPhi ;
1662 if ( pDistS > -halfCarTolerance )
1663 {
1664 sphi = 0.0 ; // Leave by sphi immediately
1665 }
1666 }
1667 }
1668 else
1669 {
1670 sphi = kInfinity ;
1671 }
1672 }
1673 else
1674 {
1675 sphi = kInfinity ;
1676 }
1677
1678 if ( compE < 0 )
1679 {
1680 sphi2 = pDistE/compE ;
1681
1682 // Only check further if < starting phi intersection
1683 //
1684 if ( (sphi2 > -halfCarTolerance) && (sphi2 < sphi) )
1685 {
1686 xi = p.x() + sphi2*v.x() ;
1687 yi = p.y() + sphi2*v.y() ;
1688
1689 if ((std::fabs(xi)<=kCarTolerance)&&(std::fabs(yi)<=kCarTolerance))
1690 {
1691 // Leaving via ending phi
1692 //
1693 if( (fSPhi-halfAngTolerance > vphi)
1694 ||(fSPhi+fDPhi+halfAngTolerance < vphi) )
1695 {
1696 sidephi = kEPhi ;
1697 if ( pDistE <= -halfCarTolerance ) { sphi = sphi2 ; }
1698 else { sphi = 0.0 ; }
1699 }
1700 }
1701 else // Check intersecting with correct half-plane
1702
1703 if ( (yi*cosCPhi-xi*sinCPhi) >= 0)
1704 {
1705 // Leaving via ending phi
1706 //
1707 sidephi = kEPhi ;
1708 if ( pDistE <= -halfCarTolerance ) { sphi = sphi2 ; }
1709 else { sphi = 0.0 ; }
1710 }
1711 }
1712 }
1713 }
1714 else
1715 {
1716 sphi = kInfinity ;
1717 }
1718 }
1719 else
1720 {
1721 // On z axis + travel not || to z axis -> if phi of vector direction
1722 // within phi of shape, Step limited by rmax, else Step =0
1723
1724 if ( (fSPhi - halfAngTolerance <= vphi)
1725 && (vphi <= fSPhi + fDPhi + halfAngTolerance ) )
1726 {
1727 sphi = kInfinity ;
1728 }
1729 else
1730 {
1731 sidephi = kSPhi ; // arbitrary
1732 sphi = 0.0 ;
1733 }
1734 }
1735 if (sphi < snxt) // Order intersecttions
1736 {
1737 snxt = sphi ;
1738 side = sidephi ;
1739 }
1740 }
1741 if (srd < snxt) // Order intersections
1742 {
1743 snxt = srd ;
1744 side = sider ;
1745 }
1746 }
1747 if (calcNorm)
1748 {
1749 switch(side)
1750 {
1751 case kRMax:
1752 // Note: returned vector not normalised
1753 // (divide by fRMax for unit vector)
1754 //
1755 xi = p.x() + snxt*v.x() ;
1756 yi = p.y() + snxt*v.y() ;
1757 *n = G4ThreeVector(xi/fRMax,yi/fRMax,0) ;
1758 *validNorm = true ;
1759 break ;
1760
1761 case kRMin:
1762 *validNorm = false ; // Rmin is inconvex
1763 break ;
1764
1765 case kSPhi:
1766 if ( fDPhi <= pi )
1767 {
1768 *n = G4ThreeVector(sinSPhi,-cosSPhi,0) ;
1769 *validNorm = true ;
1770 }
1771 else
1772 {
1773 *validNorm = false ;
1774 }
1775 break ;
1776
1777 case kEPhi:
1778 if (fDPhi <= pi)
1779 {
1780 *n = G4ThreeVector(-sinEPhi,cosEPhi,0) ;
1781 *validNorm = true ;
1782 }
1783 else
1784 {
1785 *validNorm = false ;
1786 }
1787 break ;
1788
1789 case kPZ:
1790 *n = fHighNorm ;
1791 *validNorm = true ;
1792 break ;
1793
1794 case kMZ:
1795 *n = fLowNorm ;
1796 *validNorm = true ;
1797 break ;
1798
1799 default:
1800 G4cout << G4endl ;
1801 DumpInfo();
1802 std::ostringstream message;
1803 G4long oldprc = message.precision(16);
1804 message << "Undefined side for valid surface normal to solid."
1805 << G4endl
1806 << "Position:" << G4endl << G4endl
1807 << "p.x() = " << p.x()/mm << " mm" << G4endl
1808 << "p.y() = " << p.y()/mm << " mm" << G4endl
1809 << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl
1810 << "Direction:" << G4endl << G4endl
1811 << "v.x() = " << v.x() << G4endl
1812 << "v.y() = " << v.y() << G4endl
1813 << "v.z() = " << v.z() << G4endl << G4endl
1814 << "Proposed distance :" << G4endl << G4endl
1815 << "snxt = " << snxt/mm << " mm" << G4endl ;
1816 message.precision(oldprc) ;
1817 G4Exception("G4CutTubs::DistanceToOut(p,v,..)", "GeomSolids1002",
1818 JustWarning, message);
1819 break ;
1820 }
1821 }
1822 if ( snxt<halfCarTolerance ) { snxt=0 ; }
1823 return snxt ;
1824 }
1825
1826 //////////////////////////////////////////////////////////////////////////
1827 //
1828 // Calculate distance (<=actual) to closest surface of shape from inside
1829
1830 G4double G4CutTubs::DistanceToOut( const G4ThreeVector& p ) const
1831 {
1832 G4double safRMin,safRMax,safZLow,safZHigh,safePhi,safe,rho;
1833 G4ThreeVector vZ=G4ThreeVector(0,0,fDz);
1834
1835 rho = std::sqrt(p.x()*p.x() + p.y()*p.y()) ; // Distance to R
1836
1837 safRMin = rho - fRMin ;
1838 safRMax = fRMax - rho ;
1839
1840 // Distances to ZCut(Low/High)
1841
1842 // Dist to Low Cut
1843 //
1844 safZLow = std::fabs((p+vZ).dot(fLowNorm));
1845
1846 // Dist to High Cut
1847 //
1848 safZHigh = std::fabs((p-vZ).dot(fHighNorm));
1849 safe = std::min(safZLow,safZHigh);
1850
1851 if ( safRMin < safe ) { safe = safRMin; }
1852 if ( safRMax< safe ) { safe = safRMax; }
1853
1854 // Check if phi divided, Calc distances closest phi plane
1855 //
1856 if ( !fPhiFullCutTube )
1857 {
1858 if ( p.y()*cosCPhi-p.x()*sinCPhi <= 0 )
1859 {
1860 safePhi = -(p.x()*sinSPhi - p.y()*cosSPhi) ;
1861 }
1862 else
1863 {
1864 safePhi = (p.x()*sinEPhi - p.y()*cosEPhi) ;
1865 }
1866 if (safePhi < safe) { safe = safePhi ; }
1867 }
1868 if ( safe < 0 ) { safe = 0; }
1869
1870 return safe ;
1871 }
1872
1873 //////////////////////////////////////////////////////////////////////////
1874 //
1875 // Stream object contents to an output stream
1876
1877 G4GeometryType G4CutTubs::GetEntityType() const
1878 {
1879 return {"G4CutTubs"};
1880 }
1881
1882 //////////////////////////////////////////////////////////////////////////
1883 //
1884 // Make a clone of the object
1885 //
1886 G4VSolid* G4CutTubs::Clone() const
1887 {
1888 return new G4CutTubs(*this);
1889 }
1890
1891 //////////////////////////////////////////////////////////////////////////
1892 //
1893 // Stream object contents to an output stream
1894
1895 std::ostream& G4CutTubs::StreamInfo( std::ostream& os ) const
1896 {
1897 G4long oldprc = os.precision(16);
1898 os << "-----------------------------------------------------------\n"
1899 << " *** Dump for solid - " << GetName() << " ***\n"
1900 << " ===================================================\n"
1901 << " Solid type: G4CutTubs\n"
1902 << " Parameters: \n"
1903 << " inner radius : " << fRMin/mm << " mm \n"
1904 << " outer radius : " << fRMax/mm << " mm \n"
1905 << " half length Z: " << fDz/mm << " mm \n"
1906 << " starting phi : " << fSPhi/degree << " degrees \n"
1907 << " delta phi : " << fDPhi/degree << " degrees \n"
1908 << " low Norm : " << fLowNorm << " \n"
1909 << " high Norm : " <<fHighNorm << " \n"
1910 << "-----------------------------------------------------------\n";
1911 os.precision(oldprc);
1912
1913 return os;
1914 }
1915
1916 /////////////////////////////////////////////////////////////////////////
1917 //
1918 // GetPointOnSurface
1919
1920 G4ThreeVector G4CutTubs::GetPointOnSurface() const
1921 {
1922 // Set min and max z
1923 if (fZMin == 0. && fZMax == 0.)
1924 {
1925 G4AutoLock l(&zminmaxMutex);
1926 G4ThreeVector bmin, bmax;
1927 BoundingLimits(bmin,bmax);
1928 fZMin = bmin.z();
1929 fZMax = bmax.z();
1930 l.unlock();
1931 }
1932
1933 // Set parameters
1934 G4double hmax = fZMax - fZMin;
1935 G4double sphi = fSPhi;
1936 G4double dphi = fDPhi;
1937 G4double rmin = fRMin;
1938 G4double rmax = fRMax;
1939 G4double rrmax = rmax*rmax;
1940 G4double rrmin = rmin*rmin;
1941
1942 G4ThreeVector nbot = GetLowNorm();
1943 G4ThreeVector ntop = GetHighNorm();
1944
1945 // Set array of surface areas
1946 G4double sbase = 0.5*dphi*(rrmax - rrmin);
1947 G4double sbot = sbase/std::abs(nbot.z());
1948 G4double stop = sbase/std::abs(ntop.z());
1949 G4double scut = (dphi == twopi) ? 0. : hmax*(rmax - rmin);
1950 G4double ssurf[6] = { scut, scut, sbot, stop, dphi*rmax*hmax, dphi*rmin*hmax };
1951 ssurf[1] += ssurf[0];
1952 ssurf[2] += ssurf[1];
1953 ssurf[3] += ssurf[2];
1954 ssurf[4] += ssurf[3];
1955 ssurf[5] += ssurf[4];
1956
1957 constexpr G4int ntry = 100000;
1958 for (G4int i=0; i<ntry; ++i)
1959 {
1960 // Select surface
1961 G4double select = ssurf[5]*G4QuickRand();
1962 G4int k = 5;
1963 k -= (G4int)(select <= ssurf[4]);
1964 k -= (G4int)(select <= ssurf[3]);
1965 k -= (G4int)(select <= ssurf[2]);
1966 k -= (G4int)(select <= ssurf[1]);
1967 k -= (G4int)(select <= ssurf[0]);
1968
1969 // Generate point on selected surface (rejection sampling)
1970 G4ThreeVector p(0,0,0);
1971 switch(k)
1972 {
1973 case 0: // cut at start phi
1974 {
1975 G4double r = rmin + (rmax - rmin)*G4QuickRand();
1976 p.set(r*cosSPhi, r*sinSPhi, fZMin + hmax*G4QuickRand());
1977 break;
1978 }
1979 case 1: // cut at end phi
1980 {
1981 G4double r = rmin + (rmax - rmin)*G4QuickRand();
1982 p.set(r*cosEPhi, r*sinEPhi, fZMin + hmax*G4QuickRand());
1983 break;
1984 }
1985 case 2: // base at low z
1986 {
1987 G4double r = std::sqrt(rrmin + (rrmax - rrmin)*G4QuickRand());
1988 G4double phi = sphi + dphi*G4QuickRand();
1989 G4double x = r*std::cos(phi);
1990 G4double y = r*std::sin(phi);
1991 G4double z = -fDz - (x*nbot.x() + y*nbot.y())/nbot.z();
1992 return {x, y, z};
1993 }
1994 case 3: // base at high z
1995 {
1996 G4double r = std::sqrt(rrmin + (rrmax - rrmin)*G4QuickRand());
1997 G4double phi = sphi + dphi*G4QuickRand();
1998 G4double x = r*std::cos(phi);
1999 G4double y = r*std::sin(phi);
2000 G4double z = fDz - (x*ntop.x() + y*ntop.y())/ntop.z();
2001 return {x, y, z};
2002 }
2003 case 4: // external lateral surface
2004 {
2005 G4double phi = sphi + dphi*G4QuickRand();
2006 G4double z = fZMin + hmax*G4QuickRand();
2007 G4double x = rmax*std::cos(phi);
2008 G4double y = rmax*std::sin(phi);
2009 p.set(x, y, z);
2010 break;
2011 }
2012 case 5: // internal lateral surface
2013 {
2014 G4double phi = sphi + dphi*G4QuickRand();
2015 G4double z = fZMin + hmax*G4QuickRand();
2016 G4double x = rmin*std::cos(phi);
2017 G4double y = rmin*std::sin(phi);
2018 p.set(x, y, z);
2019 break;
2020 }
2021 }
2022 if ((ntop.dot(p) - fDz*ntop.z()) > 0.) continue;
2023 if ((nbot.dot(p) + fDz*nbot.z()) > 0.) continue;
2024 return p;
2025 }
2026 // Just in case, if all attempts to generate a point have failed
2027 // Normally should never happen
2028 G4double x = rmax*std::cos(sphi + 0.5*dphi);
2029 G4double y = rmax*std::sin(sphi + 0.5*dphi);
2030 G4double z = fDz - (x*ntop.x() + y*ntop.y())/ntop.z();
2031 return {x, y, z};
2032 }
2033
2034 ///////////////////////////////////////////////////////////////////////////
2035 //
2036 // Methods for visualisation
2037
2038 void G4CutTubs::DescribeYourselfTo ( G4VGraphicsScene& scene ) const
2039 {
2040 scene.AddSolid (*this) ;
2041 }
2042
2043 G4Polyhedron* G4CutTubs::CreatePolyhedron () const
2044 {
2045 typedef G4double G4double3[3];
2046 typedef G4int G4int4[4];
2047
2048 auto ph = new G4Polyhedron;
2049 G4Polyhedron *ph1 = new G4PolyhedronTubs (fRMin, fRMax, fDz, fSPhi, fDPhi);
2050 G4int nn=ph1->GetNoVertices();
2051 G4int nf=ph1->GetNoFacets();
2052 auto xyz = new G4double3[nn]; // number of nodes
2053 auto faces = new G4int4[nf] ; // number of faces
2054
2055 for(G4int i=0; i<nn; ++i)
2056 {
2057 xyz[i][0]=ph1->GetVertex(i+1).x();
2058 xyz[i][1]=ph1->GetVertex(i+1).y();
2059 G4double tmpZ=ph1->GetVertex(i+1).z();
2060 if(tmpZ>=fDz-kCarTolerance)
2061 {
2062 xyz[i][2]=GetCutZ(G4ThreeVector(xyz[i][0],xyz[i][1],fDz));
2063 }
2064 else if(tmpZ<=-fDz+kCarTolerance)
2065 {
2066 xyz[i][2]=GetCutZ(G4ThreeVector(xyz[i][0],xyz[i][1],-fDz));
2067 }
2068 else
2069 {
2070 xyz[i][2]=tmpZ;
2071 }
2072 }
2073 G4int iNodes[4];
2074 G4int* iEdge = nullptr;
2075 G4int n;
2076 for(G4int i=0; i<nf ; ++i)
2077 {
2078 ph1->GetFacet(i+1,n,iNodes,iEdge);
2079 for(G4int k=0; k<n; ++k)
2080 {
2081 faces[i][k]=iNodes[k];
2082 }
2083 for(G4int k=n; k<4; ++k)
2084 {
2085 faces[i][k]=0;
2086 }
2087 }
2088 ph->createPolyhedron(nn,nf,xyz,faces);
2089
2090 delete [] xyz;
2091 delete [] faces;
2092 delete ph1;
2093
2094 return ph;
2095 }
2096
2097 // Auxilary Methods for Solid
2098
2099 //////////////////////////////////////////////////////////////////////////
2100 //
2101 // Check set of points on the outer lateral surface and return true
2102 // if the cut planes are crossing inside the surface
2103 //
2104
2105 G4bool G4CutTubs::IsCrossingCutPlanes() const
2106 {
2107 constexpr G4int npoints = 30;
2108
2109 // set values for calculation of h - distance between
2110 // opposite points on bases
2111 G4ThreeVector nbot = GetLowNorm();
2112 G4ThreeVector ntop = GetHighNorm();
2113 if (std::abs(nbot.z()) < kCarTolerance) return true;
2114 if (std::abs(ntop.z()) < kCarTolerance) return true;
2115 G4double nx = nbot.x()/nbot.z() - ntop.x()/ntop.z();
2116 G4double ny = nbot.y()/nbot.z() - ntop.y()/ntop.z();
2117
2118 // check points
2119 G4double cosphi = GetCosStartPhi();
2120 G4double sinphi = GetSinStartPhi();
2121 G4double delphi = GetDeltaPhiAngle()/npoints;
2122 G4double cosdel = std::cos(delphi);
2123 G4double sindel = std::sin(delphi);
2124 G4double hzero = 2.*GetZHalfLength()/GetOuterRadius();
2125 for (G4int i=0; i<npoints+1; ++i)
2126 {
2127 G4double h = nx*cosphi + ny*sinphi + hzero;
2128 if (h < 0.) return true;
2129 G4double sintmp = sinphi;
2130 sinphi = sintmp*cosdel + cosphi*sindel;
2131 cosphi = cosphi*cosdel - sintmp*sindel;
2132 }
2133 return false;
2134 }
2135
2136 ///////////////////////////////////////////////////////////////////////////
2137 //
2138 // Return real Z coordinate of point on Cutted +/- fDZ plane
2139
2140 G4double G4CutTubs::GetCutZ(const G4ThreeVector& p) const
2141 {
2142 G4double newz = p.z(); // p.z() should be either +fDz or -fDz
2143 if (p.z()<0)
2144 {
2145 if(fLowNorm.z()!=0.)
2146 {
2147 newz = -fDz-(p.x()*fLowNorm.x()+p.y()*fLowNorm.y())/fLowNorm.z();
2148 }
2149 }
2150 else
2151 {
2152 if(fHighNorm.z()!=0.)
2153 {
2154 newz = fDz-(p.x()*fHighNorm.x()+p.y()*fHighNorm.y())/fHighNorm.z();
2155 }
2156 }
2157 return newz;
2158 }
2159 #endif
2160