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25 // 25 //
>> 26 //
>> 27 // $Id: G4Sphere.cc,v 1.57.2.2 2008/09/02 12:36:53 gcosmo Exp $
>> 28 // GEANT4 tag $Name: geant4-09-01-patch-03 $
>> 29 //
>> 30 // class G4Sphere
>> 31 //
26 // Implementation for G4Sphere class 32 // Implementation for G4Sphere class
27 // 33 //
28 // 28.03.94 P.Kent: old C++ code converted to << 34 // History:
29 // 17.09.96 V.Grichine: final modifications to << 35 //
30 // 30.10.03 J.Apostolakis: new algorithm in In << 36 // 12.06.08 V.Grichine: fix for theta intersections in DistanceToOut(p,v,...)
>> 37 // 22.07.05 O.Link : Added check for intersection with double cone
31 // 03.05.05 V.Grichine: SurfaceNormal(p) accor 38 // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal
32 // 22.07.05 O.Link: Added check for intersecti << 39 // 16.09.04 V.Grichine: bug fixed in SurfaceNormal(p), theta normals
33 // 26.03.09 G.Cosmo: optimisations and uniform << 40 // 16.07.04 V.Grichine: bug fixed in DistanceToOut(p,v), Rmin go outside
34 // 26.10.16 E.Tcherniaev: re-implemented Calcu << 41 // 02.06.04 V.Grichine: bug fixed in DistanceToIn(p,v), on Rmax,Rmin go inside
35 // G4BoundingEnvelope, << 42 // 30.10.03 J.Apostolakis: new algorithm in Inside for SPhi-sections
>> 43 // 29.10.03 J.Apostolakis: fix in Inside for SPhi-0.5*kAngTol < phi < SPhi, SPhi<0
>> 44 // 19.06.02 V.Grichine: bug fixed in Inside(p), && -> && fDTheta - kAngTolerance
>> 45 // 30.01.02 V.Grichine: bug fixed in Inside(p), && -> || at l.451
>> 46 // 06.03.00 V.Grichine: modifications in Distance ToOut(p,v,...)
>> 47 // 18.11.99 V.Grichine: side = kNull in Distance ToOut(p,v,...)
>> 48 // 25.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), phi intersections
>> 49 // 12.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), theta intersections
>> 50 // 09.10.98 V.Grichine: modifications in DistanceToOut(p,v,...)
>> 51 // 17.09.96 V.Grichine: final modifications to commit
>> 52 // 28.03.94 P.Kent: old C++ code converted to tolerant geometry
36 // ------------------------------------------- 53 // --------------------------------------------------------------------
37 54
38 #include "G4Sphere.hh" << 55 #include <assert.h>
39 56
40 #if !defined(G4GEOM_USE_USPHERE) << 57 #include "G4Sphere.hh"
41 58
42 #include "G4GeomTools.hh" <<
43 #include "G4VoxelLimits.hh" 59 #include "G4VoxelLimits.hh"
44 #include "G4AffineTransform.hh" 60 #include "G4AffineTransform.hh"
45 #include "G4GeometryTolerance.hh" 61 #include "G4GeometryTolerance.hh"
46 #include "G4BoundingEnvelope.hh" <<
47 62
48 #include "G4VPVParameterisation.hh" 63 #include "G4VPVParameterisation.hh"
49 64
50 #include "G4QuickRand.hh" << 65 #include "Randomize.hh"
51 66
52 #include "meshdefs.hh" 67 #include "meshdefs.hh"
53 68
54 #include "G4VGraphicsScene.hh" 69 #include "G4VGraphicsScene.hh"
55 #include "G4VisExtent.hh" 70 #include "G4VisExtent.hh"
>> 71 #include "G4Polyhedron.hh"
>> 72 #include "G4NURBS.hh"
>> 73 #include "G4NURBSbox.hh"
56 74
57 using namespace CLHEP; 75 using namespace CLHEP;
58 76
59 // Private enum: Not for external use - used b 77 // Private enum: Not for external use - used by distanceToOut
60 78
61 enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kSTh 79 enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kSTheta,kETheta};
62 80
63 // used by normal 81 // used by normal
64 82
65 enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNSThe 83 enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNSTheta,kNETheta};
66 84
67 ////////////////////////////////////////////// 85 ////////////////////////////////////////////////////////////////////////
68 // 86 //
69 // constructor - check parameters, convert ang 87 // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI
70 // - note if pDPhi>2PI then reset 88 // - note if pDPhi>2PI then reset to 2PI
71 89
72 G4Sphere::G4Sphere( const G4String& pName, 90 G4Sphere::G4Sphere( const G4String& pName,
73 G4double pRmin, G4do 91 G4double pRmin, G4double pRmax,
74 G4double pSPhi, G4do 92 G4double pSPhi, G4double pDPhi,
75 G4double pSTheta, G4 93 G4double pSTheta, G4double pDTheta )
76 : G4CSGSolid(pName), fSPhi(0.0), fFullPhiSph << 94 : G4CSGSolid(pName)
77 { 95 {
78 kAngTolerance = G4GeometryTolerance::GetInst << 96 fEpsilon = 1.0e-14;
79 kRadTolerance = G4GeometryTolerance::GetInst <<
80 97
81 halfCarTolerance = 0.5*kCarTolerance; << 98 kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
82 halfAngTolerance = 0.5*kAngTolerance; << 99 kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();
83 100
84 // Check radii and set radial tolerances << 101 // Check radii
85 102
86 if ( (pRmin >= pRmax) || (pRmax < 1.1*kRadTo << 103 if (pRmin<pRmax&&pRmin>=0)
>> 104 {
>> 105 fRmin=pRmin; fRmax=pRmax;
>> 106 }
>> 107 else
87 { 108 {
88 std::ostringstream message; << 109 G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl
89 message << "Invalid radii for Solid: " << << 110 << " Invalide values for radii ! - "
90 << " pRmin = " << pRmin << << 111 << " pRmin = " << pRmin << ", pRmax = " << pRmax << G4endl;
91 G4Exception("G4Sphere::G4Sphere()", "GeomS << 112 G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException,
92 FatalException, message); << 113 "Invalid radii");
93 } << 114 }
94 fRmin=pRmin; fRmax=pRmax; <<
95 fRminTolerance = (fRmin) != 0.0 ? std::max( <<
96 fRmaxTolerance = std::max( kRadTolerance, fE <<
97 115
98 // Check angles 116 // Check angles
99 117
100 CheckPhiAngles(pSPhi, pDPhi); << 118 if (pDPhi>=twopi)
101 CheckThetaAngles(pSTheta, pDTheta); << 119 {
>> 120 fDPhi=twopi;
>> 121 }
>> 122 else if (pDPhi>0)
>> 123 {
>> 124 fDPhi=pDPhi;
>> 125 }
>> 126 else
>> 127 {
>> 128 G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl
>> 129 << " Negative Z delta-Phi ! - "
>> 130 << pDPhi << G4endl;
>> 131 G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException,
>> 132 "Invalid DPhi.");
>> 133 }
>> 134
>> 135 // Convert fSPhi to 0-2PI
>> 136
>> 137 if (pSPhi<0)
>> 138 {
>> 139 fSPhi=twopi-std::fmod(std::fabs(pSPhi),twopi);
>> 140 }
>> 141 else
>> 142 {
>> 143 fSPhi=std::fmod(pSPhi,twopi);
>> 144 }
>> 145
>> 146 // Sphere is placed such that fSPhi+fDPhi>twopi !
>> 147 // fSPhi could be < 0 !!?
>> 148 //
>> 149 if (fSPhi+fDPhi>twopi) fSPhi-=twopi;
>> 150
>> 151 // Check theta angles
>> 152
>> 153 if (pSTheta<0 || pSTheta>pi)
>> 154 {
>> 155 G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl;
>> 156 G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException,
>> 157 "stheta outside 0-PI range.");
>> 158 }
>> 159 else
>> 160 {
>> 161 fSTheta=pSTheta;
>> 162 }
>> 163
>> 164 if (pDTheta+pSTheta>=pi)
>> 165 {
>> 166 fDTheta=pi-pSTheta;
>> 167 }
>> 168 else if (pDTheta>0)
>> 169 {
>> 170 fDTheta=pDTheta;
>> 171 }
>> 172 else
>> 173 {
>> 174 G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl
>> 175 << " Negative delta-Theta ! - "
>> 176 << pDTheta << G4endl;
>> 177 G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException,
>> 178 "Invalid pDTheta.");
>> 179 }
102 } 180 }
103 181
104 ////////////////////////////////////////////// 182 ///////////////////////////////////////////////////////////////////////
105 // 183 //
106 // Fake default constructor - sets only member 184 // Fake default constructor - sets only member data and allocates memory
107 // for usage restri 185 // for usage restricted to object persistency.
108 // 186 //
109 G4Sphere::G4Sphere( __void__& a ) 187 G4Sphere::G4Sphere( __void__& a )
110 : G4CSGSolid(a) 188 : G4CSGSolid(a)
111 { 189 {
112 } 190 }
113 191
114 ////////////////////////////////////////////// 192 /////////////////////////////////////////////////////////////////////
115 // 193 //
116 // Destructor 194 // Destructor
117 195
118 G4Sphere::~G4Sphere() = default; << 196 G4Sphere::~G4Sphere()
119 <<
120 ////////////////////////////////////////////// <<
121 // <<
122 // Copy constructor <<
123 <<
124 G4Sphere::G4Sphere(const G4Sphere&) = default; <<
125 <<
126 ////////////////////////////////////////////// <<
127 // <<
128 // Assignment operator <<
129 <<
130 G4Sphere& G4Sphere::operator = (const G4Sphere <<
131 { 197 {
132 // Check assignment to self <<
133 // <<
134 if (this == &rhs) { return *this; } <<
135 <<
136 // Copy base class data <<
137 // <<
138 G4CSGSolid::operator=(rhs); <<
139 <<
140 // Copy data <<
141 // <<
142 fRminTolerance = rhs.fRminTolerance; fRmaxT <<
143 kAngTolerance = rhs.kAngTolerance; kRadTole <<
144 fEpsilon = rhs.fEpsilon; fRmin = rhs.fRmin; <<
145 fSPhi = rhs.fSPhi; fDPhi = rhs.fDPhi; fSThe <<
146 fDTheta = rhs.fDTheta; sinCPhi = rhs.sinCPh <<
147 cosHDPhi = rhs.cosHDPhi; <<
148 cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = r <<
149 sinSPhi = rhs.sinSPhi; cosSPhi = rhs.cosSPh <<
150 sinEPhi = rhs.sinEPhi; cosEPhi = rhs.cosEPh <<
151 hDPhi = rhs.hDPhi; cPhi = rhs.cPhi; ePhi = <<
152 sinSTheta = rhs.sinSTheta; cosSTheta = rhs. <<
153 sinETheta = rhs.sinETheta; cosETheta = rhs. <<
154 tanSTheta = rhs.tanSTheta; tanSTheta2 = rhs <<
155 tanETheta = rhs.tanETheta; tanETheta2 = rhs <<
156 eTheta = rhs.eTheta; fFullPhiSphere = rhs.f <<
157 fFullThetaSphere = rhs.fFullThetaSphere; fF <<
158 halfCarTolerance = rhs.halfCarTolerance; <<
159 halfAngTolerance = rhs.halfAngTolerance; <<
160 <<
161 return *this; <<
162 } 198 }
163 199
164 ////////////////////////////////////////////// 200 //////////////////////////////////////////////////////////////////////////
165 // 201 //
166 // Dispatch to parameterisation for replicatio 202 // Dispatch to parameterisation for replication mechanism dimension
167 // computation & modification. 203 // computation & modification.
168 204
169 void G4Sphere::ComputeDimensions( G4VPVP 205 void G4Sphere::ComputeDimensions( G4VPVParameterisation* p,
170 const G4int 206 const G4int n,
171 const G4VPhy 207 const G4VPhysicalVolume* pRep)
172 { 208 {
173 p->ComputeDimensions(*this,n,pRep); 209 p->ComputeDimensions(*this,n,pRep);
174 } 210 }
175 211
176 ////////////////////////////////////////////// <<
177 // <<
178 // Get bounding box <<
179 <<
180 void G4Sphere::BoundingLimits(G4ThreeVector& p <<
181 { <<
182 G4double rmin = GetInnerRadius(); <<
183 G4double rmax = GetOuterRadius(); <<
184 <<
185 // Find bounding box <<
186 // <<
187 if (GetDeltaThetaAngle() >= pi && GetDeltaPh <<
188 { <<
189 pMin.set(-rmax,-rmax,-rmax); <<
190 pMax.set( rmax, rmax, rmax); <<
191 } <<
192 else <<
193 { <<
194 G4double sinStart = GetSinStartTheta(); <<
195 G4double cosStart = GetCosStartTheta(); <<
196 G4double sinEnd = GetSinEndTheta(); <<
197 G4double cosEnd = GetCosEndTheta(); <<
198 <<
199 G4double stheta = GetStartThetaAngle(); <<
200 G4double etheta = stheta + GetDeltaThetaAn <<
201 G4double rhomin = rmin*std::min(sinStart,s <<
202 G4double rhomax = rmax; <<
203 if (stheta > halfpi) rhomax = rmax*sinStar <<
204 if (etheta < halfpi) rhomax = rmax*sinEnd; <<
205 <<
206 G4TwoVector xymin,xymax; <<
207 G4GeomTools::DiskExtent(rhomin,rhomax, <<
208 GetSinStartPhi(),G <<
209 GetSinEndPhi(),Get <<
210 xymin,xymax); <<
211 <<
212 G4double zmin = std::min(rmin*cosEnd,rmax* <<
213 G4double zmax = std::max(rmin*cosStart,rma <<
214 pMin.set(xymin.x(),xymin.y(),zmin); <<
215 pMax.set(xymax.x(),xymax.y(),zmax); <<
216 } <<
217 <<
218 // Check correctness of the bounding box <<
219 // <<
220 if (pMin.x() >= pMax.x() || pMin.y() >= pMax <<
221 { <<
222 std::ostringstream message; <<
223 message << "Bad bounding box (min >= max) <<
224 << GetName() << " !" <<
225 << "\npMin = " << pMin <<
226 << "\npMax = " << pMax; <<
227 G4Exception("G4Sphere::BoundingLimits()", <<
228 JustWarning, message); <<
229 DumpInfo(); <<
230 } <<
231 } <<
232 <<
233 ////////////////////////////////////////////// 212 ////////////////////////////////////////////////////////////////////////////
234 // 213 //
235 // Calculate extent under transform and specif 214 // Calculate extent under transform and specified limit
236 215
237 G4bool G4Sphere::CalculateExtent( const EAxis 216 G4bool G4Sphere::CalculateExtent( const EAxis pAxis,
238 const G4Voxe 217 const G4VoxelLimits& pVoxelLimit,
239 const G4Affi 218 const G4AffineTransform& pTransform,
240 G4doub 219 G4double& pMin, G4double& pMax ) const
241 { 220 {
242 G4ThreeVector bmin, bmax; << 221 if ( fDPhi==twopi && fDTheta==pi) // !pTransform.IsRotated() &&
>> 222 {
>> 223 // Special case handling for solid spheres-shells
>> 224 // (rotation doesn't influence).
>> 225 // Compute x/y/z mins and maxs for bounding box respecting limits,
>> 226 // with early returns if outside limits. Then switch() on pAxis,
>> 227 // and compute exact x and y limit for x/y case
>> 228
>> 229 G4double xoffset,xMin,xMax;
>> 230 G4double yoffset,yMin,yMax;
>> 231 G4double zoffset,zMin,zMax;
>> 232
>> 233 G4double diff1,diff2,maxDiff,newMin,newMax;
>> 234 G4double xoff1,xoff2,yoff1,yoff2;
>> 235
>> 236 xoffset=pTransform.NetTranslation().x();
>> 237 xMin=xoffset-fRmax;
>> 238 xMax=xoffset+fRmax;
>> 239 if (pVoxelLimit.IsXLimited())
>> 240 {
>> 241 if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance)
>> 242 || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) )
>> 243 {
>> 244 return false;
>> 245 }
>> 246 else
>> 247 {
>> 248 if (xMin<pVoxelLimit.GetMinXExtent())
>> 249 {
>> 250 xMin=pVoxelLimit.GetMinXExtent();
>> 251 }
>> 252 if (xMax>pVoxelLimit.GetMaxXExtent())
>> 253 {
>> 254 xMax=pVoxelLimit.GetMaxXExtent();
>> 255 }
>> 256 }
>> 257 }
243 258
244 // Get bounding box << 259 yoffset=pTransform.NetTranslation().y();
245 BoundingLimits(bmin,bmax); << 260 yMin=yoffset-fRmax;
>> 261 yMax=yoffset+fRmax;
>> 262 if (pVoxelLimit.IsYLimited())
>> 263 {
>> 264 if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance)
>> 265 || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) )
>> 266 {
>> 267 return false;
>> 268 }
>> 269 else
>> 270 {
>> 271 if (yMin<pVoxelLimit.GetMinYExtent())
>> 272 {
>> 273 yMin=pVoxelLimit.GetMinYExtent();
>> 274 }
>> 275 if (yMax>pVoxelLimit.GetMaxYExtent())
>> 276 {
>> 277 yMax=pVoxelLimit.GetMaxYExtent();
>> 278 }
>> 279 }
>> 280 }
246 281
247 // Find extent << 282 zoffset=pTransform.NetTranslation().z();
248 G4BoundingEnvelope bbox(bmin,bmax); << 283 zMin=zoffset-fRmax;
249 return bbox.CalculateExtent(pAxis,pVoxelLimi << 284 zMax=zoffset+fRmax;
250 } << 285 if (pVoxelLimit.IsZLimited())
>> 286 {
>> 287 if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance)
>> 288 || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) )
>> 289 {
>> 290 return false;
>> 291 }
>> 292 else
>> 293 {
>> 294 if (zMin<pVoxelLimit.GetMinZExtent())
>> 295 {
>> 296 zMin=pVoxelLimit.GetMinZExtent();
>> 297 }
>> 298 if (zMax>pVoxelLimit.GetMaxZExtent())
>> 299 {
>> 300 zMax=pVoxelLimit.GetMaxZExtent();
>> 301 }
>> 302 }
>> 303 }
251 304
252 ////////////////////////////////////////////// << 305 // Known to cut sphere
253 // <<
254 // Return whether point inside/outside/on surf <<
255 // Split into radius, phi, theta checks <<
256 // Each check modifies 'in', or returns as app <<
257 306
258 EInside G4Sphere::Inside( const G4ThreeVector& << 307 switch (pAxis)
259 { << 308 {
260 G4double rho,rho2,rad2,tolRMin,tolRMax; << 309 case kXAxis:
261 G4double pPhi,pTheta; << 310 yoff1=yoffset-yMin;
262 EInside in = kOutside; << 311 yoff2=yMax-yoffset;
>> 312 if (yoff1>=0&&yoff2>=0)
>> 313 {
>> 314 // Y limits cross max/min x => no change
>> 315 //
>> 316 pMin=xMin;
>> 317 pMax=xMax;
>> 318 }
>> 319 else
>> 320 {
>> 321 // Y limits don't cross max/min x => compute max delta x,
>> 322 // hence new mins/maxs
>> 323 //
>> 324 diff1=std::sqrt(fRmax*fRmax-yoff1*yoff1);
>> 325 diff2=std::sqrt(fRmax*fRmax-yoff2*yoff2);
>> 326 maxDiff=(diff1>diff2) ? diff1:diff2;
>> 327 newMin=xoffset-maxDiff;
>> 328 newMax=xoffset+maxDiff;
>> 329 pMin=(newMin<xMin) ? xMin : newMin;
>> 330 pMax=(newMax>xMax) ? xMax : newMax;
>> 331 }
>> 332 break;
>> 333 case kYAxis:
>> 334 xoff1=xoffset-xMin;
>> 335 xoff2=xMax-xoffset;
>> 336 if (xoff1>=0&&xoff2>=0)
>> 337 {
>> 338 // X limits cross max/min y => no change
>> 339 //
>> 340 pMin=yMin;
>> 341 pMax=yMax;
>> 342 }
>> 343 else
>> 344 {
>> 345 // X limits don't cross max/min y => compute max delta y,
>> 346 // hence new mins/maxs
>> 347 //
>> 348 diff1=std::sqrt(fRmax*fRmax-xoff1*xoff1);
>> 349 diff2=std::sqrt(fRmax*fRmax-xoff2*xoff2);
>> 350 maxDiff=(diff1>diff2) ? diff1:diff2;
>> 351 newMin=yoffset-maxDiff;
>> 352 newMax=yoffset+maxDiff;
>> 353 pMin=(newMin<yMin) ? yMin : newMin;
>> 354 pMax=(newMax>yMax) ? yMax : newMax;
>> 355 }
>> 356 break;
>> 357 case kZAxis:
>> 358 pMin=zMin;
>> 359 pMax=zMax;
>> 360 break;
>> 361 default:
>> 362 break;
>> 363 }
>> 364 pMin-=kCarTolerance;
>> 365 pMax+=kCarTolerance;
>> 366
>> 367 return true;
>> 368 }
>> 369 else // Transformed cutted sphere
>> 370 {
>> 371 G4int i,j,noEntries,noBetweenSections;
>> 372 G4bool existsAfterClip=false;
263 373
264 const G4double halfRmaxTolerance = fRmaxTole << 374 // Calculate rotated vertex coordinates
265 const G4double halfRminTolerance = fRminTole <<
266 const G4double Rmax_minus = fRmax - halfRmax <<
267 const G4double Rmin_plus = (fRmin > 0) ? fR <<
268 375
269 rho2 = p.x()*p.x() + p.y()*p.y() ; << 376 G4ThreeVectorList* vertices;
270 rad2 = rho2 + p.z()*p.z() ; << 377 G4int noPolygonVertices ;
>> 378 vertices=CreateRotatedVertices(pTransform,noPolygonVertices);
271 379
272 // Check radial surfaces. Sets 'in' << 380 pMin=+kInfinity;
>> 381 pMax=-kInfinity;
273 382
274 tolRMin = Rmin_plus; << 383 noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections
275 tolRMax = Rmax_minus; << 384 noBetweenSections=noEntries-noPolygonVertices;
276 385
277 if(rad2 == 0.0) << 386 G4ThreeVectorList ThetaPolygon ;
278 { << 387 for (i=0;i<noEntries;i+=noPolygonVertices)
279 if (fRmin > 0.0) <<
280 { 388 {
281 return in = kOutside; << 389 for(j=0;j<(noPolygonVertices/2)-1;j++)
>> 390 {
>> 391 ThetaPolygon.push_back((*vertices)[i+j]) ;
>> 392 ThetaPolygon.push_back((*vertices)[i+j+1]) ;
>> 393 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]) ;
>> 394 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]) ;
>> 395 CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax);
>> 396 ThetaPolygon.clear() ;
>> 397 }
282 } 398 }
283 if ( (!fFullPhiSphere) || (!fFullThetaSphe << 399 for (i=0;i<noBetweenSections;i+=noPolygonVertices)
284 { 400 {
285 return in = kSurface; << 401 for(j=0;j<noPolygonVertices-1;j++)
>> 402 {
>> 403 ThetaPolygon.push_back((*vertices)[i+j]) ;
>> 404 ThetaPolygon.push_back((*vertices)[i+j+1]) ;
>> 405 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]) ;
>> 406 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]) ;
>> 407 CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax);
>> 408 ThetaPolygon.clear() ;
>> 409 }
>> 410 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]) ;
>> 411 ThetaPolygon.push_back((*vertices)[i]) ;
>> 412 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]) ;
>> 413 ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]) ;
>> 414 CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax);
>> 415 ThetaPolygon.clear() ;
>> 416 }
>> 417
>> 418 if (pMin!=kInfinity || pMax!=-kInfinity)
>> 419 {
>> 420 existsAfterClip=true;
>> 421
>> 422 // Add 2*tolerance to avoid precision troubles
>> 423 //
>> 424 pMin-=kCarTolerance;
>> 425 pMax+=kCarTolerance;
286 } 426 }
287 else 427 else
288 { 428 {
289 return in = kInside; << 429 // Check for case where completely enveloping clipping volume
>> 430 // If point inside then we are confident that the solid completely
>> 431 // envelopes the clipping volume. Hence set min/max extents according
>> 432 // to clipping volume extents along the specified axis.
>> 433
>> 434 G4ThreeVector clipCentre(
>> 435 (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5,
>> 436 (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5,
>> 437 (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5);
>> 438
>> 439 if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside)
>> 440 {
>> 441 existsAfterClip=true;
>> 442 pMin=pVoxelLimit.GetMinExtent(pAxis);
>> 443 pMax=pVoxelLimit.GetMaxExtent(pAxis);
>> 444 }
290 } 445 }
>> 446 delete vertices;
>> 447 return existsAfterClip;
291 } 448 }
>> 449 }
292 450
293 if ( (rad2 <= Rmax_minus*Rmax_minus) && (rad << 451 ///////////////////////////////////////////////////////////////////////////
294 { << 452 //
295 in = kInside; << 453 // Return whether point inside/outside/on surface
296 } << 454 // Split into radius, phi, theta checks
>> 455 // Each check modifies `in', or returns as approprate
>> 456
>> 457 EInside G4Sphere::Inside( const G4ThreeVector& p ) const
>> 458 {
>> 459 G4double rho,rho2,rad2,tolRMin,tolRMax;
>> 460 G4double pPhi,pTheta;
>> 461 EInside in=kOutside;
>> 462
>> 463 rho2 = p.x()*p.x() + p.y()*p.y() ;
>> 464 rad2 = rho2 + p.z()*p.z() ;
>> 465
>> 466 // if(rad2 >= 1.369e+19) DBG();
>> 467 // G4double rad = std::sqrt(rad2);
>> 468 // Check radial surfaces
>> 469 // sets `in'
>> 470
>> 471 if ( fRmin ) tolRMin = fRmin + kRadTolerance*0.5;
>> 472 else tolRMin = 0 ;
>> 473
>> 474 tolRMax = fRmax - kRadTolerance*0.5 ;
>> 475 // const G4double fractionTolerance = 1.0e-12;
>> 476 const G4double flexRadMaxTolerance = // kRadTolerance;
>> 477 std::max(kRadTolerance, fEpsilon * fRmax);
>> 478
>> 479 const G4double Rmax_minus = fRmax - flexRadMaxTolerance*0.5;
>> 480 const G4double flexRadMinTolerance = std::max(kRadTolerance,
>> 481 fEpsilon * fRmin);
>> 482 const G4double Rmin_plus = (fRmin > 0) ? fRmin + flexRadMinTolerance*0.5 : 0 ;
>> 483
>> 484 if(rad2 <= Rmax_minus*Rmax_minus && rad2 >= Rmin_plus*Rmin_plus) in = kInside ;
>> 485
>> 486 // if ( rad2 <= tolRMax*tolRMax && rad2 >= tolRMin*tolRMin ) in = kInside ;
>> 487 // if ( rad <= tolRMax && rad >= tolRMin ) in = kInside ;
297 else 488 else
298 { 489 {
299 tolRMax = fRmax + halfRmaxTolerance; << 490 tolRMax = fRmax + kRadTolerance*0.5 ;
300 tolRMin = std::max(fRmin-halfRminTolerance << 491 tolRMin = fRmin - kRadTolerance*0.5 ;
301 if ( (rad2 <= tolRMax*tolRMax) && (rad2 >= << 492
302 { << 493 if ( tolRMin < 0.0 ) tolRMin = 0.0 ;
303 in = kSurface; << 494
304 } << 495 if ( rad2 <= tolRMax*tolRMax && rad2 >= tolRMin*tolRMin ) in = kSurface ;
305 else << 496 // if ( rad <= tolRMax && rad >= tolRMin ) in = kSurface ;
306 { << 497 else return in = kOutside ;
307 return in = kOutside; <<
308 } <<
309 } 498 }
310 499
311 // Phi boundaries : Do not check if it has 500 // Phi boundaries : Do not check if it has no phi boundary!
>> 501 // (in != kOutside). It is new J.Apostolakis proposal of 30.10.03
312 502
313 if ( !fFullPhiSphere && (rho2 != 0.0) ) // << 503 if ( ( fDPhi < twopi - kAngTolerance ) &&
>> 504 ( (p.x() != 0.0 ) || (p.y() != 0.0) ) )
314 { 505 {
315 pPhi = std::atan2(p.y(),p.x()) ; 506 pPhi = std::atan2(p.y(),p.x()) ;
316 507
317 if ( pPhi < fSPhi - halfAngTolerance << 508 if ( pPhi < fSPhi - kAngTolerance*0.5 ) pPhi += twopi ;
318 else if ( pPhi > ePhi + halfAngTolerance ) << 509 else if ( pPhi > fSPhi + fDPhi + kAngTolerance*0.5 ) pPhi -= twopi;
319 << 510
320 if ( (pPhi < fSPhi - halfAngTolerance) << 511 if ((pPhi < fSPhi - kAngTolerance*0.5) ||
321 || (pPhi > ePhi + halfAngTolerance) ) << 512 (pPhi > fSPhi + fDPhi + kAngTolerance*0.5) ) return in = kOutside ;
322 << 513
323 else if (in == kInside) // else it's kSur 514 else if (in == kInside) // else it's kSurface anyway already
324 { 515 {
325 if ( (pPhi < fSPhi + halfAngTolerance) << 516 if ( (pPhi < fSPhi + kAngTolerance*0.5) ||
326 || (pPhi > ePhi - halfAngTolerance) ) << 517 (pPhi > fSPhi + fDPhi - kAngTolerance*0.5) ) in = kSurface ;
327 } 518 }
328 } 519 }
329 520
330 // Theta bondaries 521 // Theta bondaries
331 << 522 // (in!=kOutside)
332 if ( ((rho2 != 0.0) || (p.z() != 0.0)) && (! << 523
>> 524 if ( (rho2 || p.z()) && fDTheta < pi - kAngTolerance*0.5 )
333 { 525 {
334 rho = std::sqrt(rho2); 526 rho = std::sqrt(rho2);
335 pTheta = std::atan2(rho,p.z()); 527 pTheta = std::atan2(rho,p.z());
336 528
337 if ( in == kInside ) 529 if ( in == kInside )
338 { 530 {
339 if ( ((fSTheta > 0.0) && (pTheta < fSThe << 531 if ( (pTheta < fSTheta + kAngTolerance*0.5)
340 || ((eTheta < pi) && (pTheta > eTheta << 532 || (pTheta > fSTheta + fDTheta - kAngTolerance*0.5) )
341 { 533 {
342 if ( (( (fSTheta>0.0)&&(pTheta>=fSThet << 534 if ( (pTheta >= fSTheta - kAngTolerance*0.5)
343 || (fSTheta == 0.0) ) << 535 && (pTheta <= fSTheta + fDTheta + kAngTolerance*0.5) )
344 && ((eTheta==pi)||(pTheta <= eTheta <<
345 { 536 {
346 in = kSurface; << 537 in = kSurface ;
347 } 538 }
348 else 539 else
349 { 540 {
350 in = kOutside; << 541 in = kOutside ;
351 } 542 }
352 } 543 }
353 } 544 }
354 else 545 else
355 { 546 {
356 if ( ((fSTheta > 0.0)&&(pTheta < fSThe << 547 if ( (pTheta < fSTheta - kAngTolerance*0.5)
357 ||((eTheta < pi )&&(pTheta > eThet << 548 || (pTheta > fSTheta + fDTheta + kAngTolerance*0.5) )
358 { 549 {
359 in = kOutside; << 550 in = kOutside ;
360 } 551 }
361 } 552 }
362 } 553 }
363 return in; 554 return in;
364 } 555 }
365 556
366 ////////////////////////////////////////////// 557 /////////////////////////////////////////////////////////////////////
367 // 558 //
368 // Return unit normal of surface closest to p 559 // Return unit normal of surface closest to p
369 // - note if point on z axis, ignore phi divid 560 // - note if point on z axis, ignore phi divided sides
370 // - unsafe if point close to z axis a rmin=0 561 // - unsafe if point close to z axis a rmin=0 - no explicit checks
371 562
372 G4ThreeVector G4Sphere::SurfaceNormal( const G 563 G4ThreeVector G4Sphere::SurfaceNormal( const G4ThreeVector& p ) const
373 { 564 {
374 G4int noSurfaces = 0; << 565 G4int noSurfaces = 0;
375 G4double rho, rho2, radius, pTheta, pPhi=0.; << 566 G4double rho, rho2, rad, pTheta, pPhi=0.;
376 G4double distRMin = kInfinity; 567 G4double distRMin = kInfinity;
377 G4double distSPhi = kInfinity, distEPhi = kI 568 G4double distSPhi = kInfinity, distEPhi = kInfinity;
378 G4double distSTheta = kInfinity, distETheta 569 G4double distSTheta = kInfinity, distETheta = kInfinity;
>> 570 G4double delta = 0.5*kCarTolerance, dAngle = 0.5*kAngTolerance;
379 G4ThreeVector nR, nPs, nPe, nTs, nTe, nZ(0., 571 G4ThreeVector nR, nPs, nPe, nTs, nTe, nZ(0.,0.,1.);
380 G4ThreeVector norm, sumnorm(0.,0.,0.); 572 G4ThreeVector norm, sumnorm(0.,0.,0.);
381 573
382 rho2 = p.x()*p.x()+p.y()*p.y(); 574 rho2 = p.x()*p.x()+p.y()*p.y();
383 radius = std::sqrt(rho2+p.z()*p.z()); << 575 rad = std::sqrt(rho2+p.z()*p.z());
384 rho = std::sqrt(rho2); 576 rho = std::sqrt(rho2);
385 577
386 G4double distRMax = std::fabs(radius-fRma << 578 G4double distRMax = std::fabs(rad-fRmax);
387 if (fRmin != 0.0) distRMin = std::fabs(radi << 579 if (fRmin) distRMin = std::fabs(rad-fRmin);
388 << 580
389 if ( (rho != 0.0) && !fFullSphere ) << 581 if ( rho && (fDPhi < twopi || fDTheta < pi) )
390 { 582 {
391 pPhi = std::atan2(p.y(),p.x()); 583 pPhi = std::atan2(p.y(),p.x());
392 584
393 if (pPhi < fSPhi-halfAngTolerance) { p << 585 if(pPhi < fSPhi-dAngle) pPhi += twopi;
394 else if (pPhi > ePhi+halfAngTolerance) { p << 586 else if(pPhi > fSPhi+fDPhi+dAngle) pPhi -= twopi;
395 } 587 }
396 if ( !fFullPhiSphere ) << 588 if ( fDPhi < twopi ) // && rho ) // old limitation against (0,0,z)
397 { 589 {
398 if ( rho != 0.0 ) << 590 if ( rho )
399 { 591 {
400 distSPhi = std::fabs( pPhi-fSPhi ); << 592 distSPhi = std::fabs( pPhi - fSPhi );
401 distEPhi = std::fabs( pPhi-ePhi ); << 593 distEPhi = std::fabs(pPhi-fSPhi-fDPhi);
402 } 594 }
403 else if( fRmin == 0.0 ) << 595 else if( !fRmin )
404 { 596 {
405 distSPhi = 0.; << 597 distSPhi = 0.;
406 distEPhi = 0.; << 598 distEPhi = 0.;
407 } 599 }
408 nPs = G4ThreeVector(sinSPhi,-cosSPhi,0); << 600 nPs = G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0);
409 nPe = G4ThreeVector(-sinEPhi,cosEPhi,0); << 601 nPe = G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0);
410 } << 602 }
411 if ( !fFullThetaSphere ) << 603 if ( fDTheta < pi ) // && rad ) // old limitation against (0,0,0)
412 { 604 {
413 if ( rho != 0.0 ) << 605 if ( rho )
414 { 606 {
415 pTheta = std::atan2(rho,p.z()); 607 pTheta = std::atan2(rho,p.z());
416 distSTheta = std::fabs(pTheta-fSTheta); << 608 distSTheta = std::fabs(pTheta-fSTheta);
417 distETheta = std::fabs(pTheta-eTheta); << 609 distETheta = std::fabs(pTheta-fSTheta-fDTheta);
418 << 610
419 nTs = G4ThreeVector(-cosSTheta*p.x()/rho << 611 nTs = G4ThreeVector(-std::cos(fSTheta)*p.x()/rho, // *std::cos(pPhi),
420 -cosSTheta*p.y()/rho << 612 -std::cos(fSTheta)*p.y()/rho, // *std::sin(pPhi),
421 sinSTheta << 613 std::sin(fSTheta) );
422 << 614
423 nTe = G4ThreeVector( cosETheta*p.x()/rho << 615 nTe = G4ThreeVector( std::cos(fSTheta+fDTheta)*p.x()/rho, // *std::cos(pPhi),
424 cosETheta*p.y()/rho << 616 std::cos(fSTheta+fDTheta)*p.y()/rho, // *std::sin(pPhi),
425 -sinETheta << 617 -std::sin(fSTheta+fDTheta) );
426 } 618 }
427 else if( fRmin == 0.0 ) << 619 else if( !fRmin )
428 { 620 {
429 if ( fSTheta != 0.0 ) << 621 if ( fSTheta )
430 { << 622 {
431 distSTheta = 0.; 623 distSTheta = 0.;
432 nTs = G4ThreeVector(0.,0.,-1.); << 624 nTs = G4ThreeVector(0.,0.,-1.);
433 } 625 }
434 if ( eTheta < pi ) << 626 if ( fSTheta + fDTheta < pi ) // distETheta = 0.;
435 { << 627 {
436 distETheta = 0.; 628 distETheta = 0.;
437 nTe = G4ThreeVector(0.,0.,1.); << 629 nTe = G4ThreeVector(0.,0.,1.);
438 } 630 }
439 } << 631 }
440 } 632 }
441 if( radius != 0.0 ) { nR = G4ThreeVector(p. << 633 if( rad ) nR = G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad);
442 634
443 if( distRMax <= halfCarTolerance ) << 635 if( distRMax <= delta )
444 { 636 {
445 ++noSurfaces; << 637 noSurfaces ++;
446 sumnorm += nR; 638 sumnorm += nR;
447 } 639 }
448 if( (fRmin != 0.0) && (distRMin <= halfCarTo << 640 if( fRmin && distRMin <= delta )
449 { 641 {
450 ++noSurfaces; << 642 noSurfaces ++;
451 sumnorm -= nR; 643 sumnorm -= nR;
452 } 644 }
453 if( !fFullPhiSphere ) << 645 if( fDPhi < twopi )
454 { 646 {
455 if (distSPhi <= halfAngTolerance) << 647 if (distSPhi <= dAngle)
456 { 648 {
457 ++noSurfaces; << 649 noSurfaces ++;
458 sumnorm += nPs; 650 sumnorm += nPs;
459 } 651 }
460 if (distEPhi <= halfAngTolerance) << 652 if (distEPhi <= dAngle)
461 { 653 {
462 ++noSurfaces; << 654 noSurfaces ++;
463 sumnorm += nPe; 655 sumnorm += nPe;
464 } 656 }
465 } 657 }
466 if ( !fFullThetaSphere ) << 658 if ( fDTheta < pi )
467 { 659 {
468 if ((distSTheta <= halfAngTolerance) && (f << 660 if (distSTheta <= dAngle && fSTheta > 0.)
469 { 661 {
470 ++noSurfaces; << 662 noSurfaces ++;
471 if ((radius <= halfCarTolerance) && fFul << 663 if( rad <= delta && fDPhi >= twopi) sumnorm += nZ;
472 else << 664 else sumnorm += nTs;
473 } 665 }
474 if ((distETheta <= halfAngTolerance) && (e << 666 if (distETheta <= dAngle && fSTheta+fDTheta < pi)
475 { 667 {
476 ++noSurfaces; << 668 noSurfaces ++;
477 if ((radius <= halfCarTolerance) && fFul << 669 if( rad <= delta && fDPhi >= twopi) sumnorm -= nZ;
478 else << 670 else sumnorm += nTe;
479 if(sumnorm.z() == 0.) { sumnorm += nZ; << 671 if(sumnorm.z() == 0.) sumnorm += nZ;
480 } 672 }
481 } 673 }
482 if ( noSurfaces == 0 ) 674 if ( noSurfaces == 0 )
483 { 675 {
484 #ifdef G4CSGDEBUG 676 #ifdef G4CSGDEBUG
485 G4Exception("G4Sphere::SurfaceNormal(p)", << 677 G4Exception("G4Sphere::SurfaceNormal(p)", "Notification", JustWarning,
486 JustWarning, "Point p is not o << 678 "Point p is not on surface !?" );
487 #endif 679 #endif
488 norm = ApproxSurfaceNormal(p); 680 norm = ApproxSurfaceNormal(p);
489 } 681 }
490 else if ( noSurfaces == 1 ) { norm = sumnor << 682 else if ( noSurfaces == 1 ) norm = sumnorm;
491 else { norm = sumnor << 683 else norm = sumnorm.unit();
492 return norm; 684 return norm;
493 } 685 }
494 686
495 687
496 ////////////////////////////////////////////// << 688 /////////////////////////////////////////////////////////////////////////////////////////////
497 // 689 //
498 // Algorithm for SurfaceNormal() following the 690 // Algorithm for SurfaceNormal() following the original specification
499 // for points not on the surface 691 // for points not on the surface
500 692
501 G4ThreeVector G4Sphere::ApproxSurfaceNormal( c 693 G4ThreeVector G4Sphere::ApproxSurfaceNormal( const G4ThreeVector& p ) const
502 { 694 {
503 ENorm side; 695 ENorm side;
504 G4ThreeVector norm; 696 G4ThreeVector norm;
505 G4double rho,rho2,radius,pPhi,pTheta; << 697 G4double rho,rho2,rad,pPhi,pTheta;
506 G4double distRMin,distRMax,distSPhi,distEPhi 698 G4double distRMin,distRMax,distSPhi,distEPhi,
507 distSTheta,distETheta,distMin; 699 distSTheta,distETheta,distMin;
508 700
509 rho2=p.x()*p.x()+p.y()*p.y(); 701 rho2=p.x()*p.x()+p.y()*p.y();
510 radius=std::sqrt(rho2+p.z()*p.z()); << 702 rad=std::sqrt(rho2+p.z()*p.z());
511 rho=std::sqrt(rho2); 703 rho=std::sqrt(rho2);
512 704
513 // 705 //
514 // Distance to r shells 706 // Distance to r shells
515 // 707 //
516 708
517 distRMax=std::fabs(radius-fRmax); << 709 distRMax=std::fabs(rad-fRmax);
518 if (fRmin != 0.0) << 710 if (fRmin)
519 { 711 {
520 distRMin=std::fabs(radius-fRmin); << 712 distRMin=std::fabs(rad-fRmin);
521 << 713
522 if (distRMin<distRMax) 714 if (distRMin<distRMax)
523 { 715 {
524 distMin=distRMin; 716 distMin=distRMin;
525 side=kNRMin; 717 side=kNRMin;
526 } 718 }
527 else 719 else
528 { << 720 {
529 distMin=distRMax; 721 distMin=distRMax;
530 side=kNRMax; 722 side=kNRMax;
531 } 723 }
532 } 724 }
533 else 725 else
534 { 726 {
535 distMin=distRMax; 727 distMin=distRMax;
536 side=kNRMax; 728 side=kNRMax;
537 } 729 }
538 730
539 // 731 //
540 // Distance to phi planes 732 // Distance to phi planes
541 // 733 //
542 // Protected against (0,0,z) << 734 // Protected against (0,0,z)
543 << 735
544 pPhi = std::atan2(p.y(),p.x()); 736 pPhi = std::atan2(p.y(),p.x());
545 if (pPhi<0) { pPhi += twopi; } << 737 if (pPhi<0) pPhi += twopi;
546 738
547 if (!fFullPhiSphere && (rho != 0.0)) << 739 if (fDPhi<twopi&&rho)
548 { 740 {
549 if (fSPhi<0) 741 if (fSPhi<0)
550 { 742 {
551 distSPhi=std::fabs(pPhi-(fSPhi+twopi))*r 743 distSPhi=std::fabs(pPhi-(fSPhi+twopi))*rho;
552 } 744 }
553 else 745 else
554 { 746 {
555 distSPhi=std::fabs(pPhi-fSPhi)*rho; 747 distSPhi=std::fabs(pPhi-fSPhi)*rho;
556 } 748 }
557 749
558 distEPhi=std::fabs(pPhi-fSPhi-fDPhi)*rho; 750 distEPhi=std::fabs(pPhi-fSPhi-fDPhi)*rho;
559 751
560 // Find new minimum 752 // Find new minimum
561 // 753 //
562 if (distSPhi<distEPhi) 754 if (distSPhi<distEPhi)
563 { 755 {
564 if (distSPhi<distMin) 756 if (distSPhi<distMin)
565 { 757 {
566 distMin = distSPhi; << 758 distMin=distSPhi;
567 side = kNSPhi; << 759 side=kNSPhi;
568 } 760 }
569 } 761 }
570 else 762 else
571 { 763 {
572 if (distEPhi<distMin) 764 if (distEPhi<distMin)
573 { 765 {
574 distMin = distEPhi; << 766 distMin=distEPhi;
575 side = kNEPhi; << 767 side=kNEPhi;
576 } 768 }
577 } 769 }
578 } 770 }
579 771
580 // 772 //
581 // Distance to theta planes 773 // Distance to theta planes
582 // 774 //
583 775
584 if (!fFullThetaSphere && (radius != 0.0)) << 776 if (fDTheta<pi&&rad)
585 { 777 {
586 pTheta=std::atan2(rho,p.z()); 778 pTheta=std::atan2(rho,p.z());
587 distSTheta=std::fabs(pTheta-fSTheta)*radiu << 779 distSTheta=std::fabs(pTheta-fSTheta)*rad;
588 distETheta=std::fabs(pTheta-fSTheta-fDThet << 780 distETheta=std::fabs(pTheta-fSTheta-fDTheta)*rad;
589 781
590 // Find new minimum 782 // Find new minimum
591 // 783 //
592 if (distSTheta<distETheta) 784 if (distSTheta<distETheta)
593 { 785 {
594 if (distSTheta<distMin) 786 if (distSTheta<distMin)
595 { 787 {
596 distMin = distSTheta ; 788 distMin = distSTheta ;
597 side = kNSTheta ; 789 side = kNSTheta ;
598 } 790 }
599 } 791 }
600 else 792 else
601 { 793 {
602 if (distETheta<distMin) 794 if (distETheta<distMin)
603 { 795 {
604 distMin = distETheta ; 796 distMin = distETheta ;
605 side = kNETheta ; 797 side = kNETheta ;
606 } 798 }
607 } 799 }
608 } 800 }
609 801
610 switch (side) 802 switch (side)
611 { 803 {
612 case kNRMin: // Inner radius 804 case kNRMin: // Inner radius
613 norm=G4ThreeVector(-p.x()/radius,-p.y()/ << 805 norm=G4ThreeVector(-p.x()/rad,-p.y()/rad,-p.z()/rad);
614 break; 806 break;
615 case kNRMax: // Outer radius 807 case kNRMax: // Outer radius
616 norm=G4ThreeVector(p.x()/radius,p.y()/ra << 808 norm=G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad);
617 break; 809 break;
618 case kNSPhi: 810 case kNSPhi:
619 norm=G4ThreeVector(sinSPhi,-cosSPhi,0); << 811 norm=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0);
620 break; 812 break;
621 case kNEPhi: 813 case kNEPhi:
622 norm=G4ThreeVector(-sinEPhi,cosEPhi,0); << 814 norm=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0);
623 break; 815 break;
624 case kNSTheta: 816 case kNSTheta:
625 norm=G4ThreeVector(-cosSTheta*std::cos(p << 817 norm=G4ThreeVector(-std::cos(fSTheta)*std::cos(pPhi),
626 -cosSTheta*std::sin(p << 818 -std::cos(fSTheta)*std::sin(pPhi),
627 sinSTheta << 819 std::sin(fSTheta) );
>> 820 // G4cout<<G4endl<<" case kNSTheta:"<<G4endl;
>> 821 // G4cout<<"pPhi = "<<pPhi<<G4endl;
>> 822 // G4cout<<"rad = "<<rad<<G4endl;
>> 823 // G4cout<<"pho = "<<rho<<G4endl;
>> 824 // G4cout<<"p: "<<p.x()<<"; "<<p.y()<<"; "<<p.z()<<G4endl;
>> 825 // G4cout<<"norm: "<<norm.x()<<"; "<<norm.y()<<"; "<<norm.z()<<G4endl;
628 break; 826 break;
629 case kNETheta: 827 case kNETheta:
630 norm=G4ThreeVector( cosETheta*std::cos(p << 828 norm=G4ThreeVector( std::cos(fSTheta+fDTheta)*std::cos(pPhi),
631 cosETheta*std::sin(p << 829 std::cos(fSTheta+fDTheta)*std::sin(pPhi),
632 -sinETheta << 830 -std::sin(fSTheta+fDTheta) );
>> 831
>> 832 // G4cout<<G4endl<<" case kNETheta:"<<G4endl;
>> 833 // G4cout<<"pPhi = "<<pPhi<<G4endl;
>> 834 // G4cout<<"rad = "<<rad<<G4endl;
>> 835 // G4cout<<"pho = "<<rho<<G4endl;
>> 836 // G4cout<<"p: "<<p.x()<<"; "<<p.y()<<"; "<<p.z()<<G4endl;
>> 837 // G4cout<<"norm: "<<norm.x()<<"; "<<norm.y()<<"; "<<norm.z()<<G4endl;
633 break; 838 break;
634 default: // Should never reach th << 839 default:
635 DumpInfo(); 840 DumpInfo();
636 G4Exception("G4Sphere::ApproxSurfaceNorm << 841 G4Exception("G4Sphere::ApproxSurfaceNormal()", "Notification", JustWarning,
637 "GeomSolids1002", JustWarnin <<
638 "Undefined side for valid su 842 "Undefined side for valid surface normal to solid.");
639 break; << 843 break;
640 } << 844 } // end case
641 845
642 return norm; 846 return norm;
643 } 847 }
644 848
645 ////////////////////////////////////////////// 849 ///////////////////////////////////////////////////////////////////////////////
646 // 850 //
647 // Calculate distance to shape from outside, a 851 // Calculate distance to shape from outside, along normalised vector
648 // - return kInfinity if no intersection, or i 852 // - return kInfinity if no intersection, or intersection distance <= tolerance
649 // 853 //
650 // -> If point is outside outer radius, comput 854 // -> If point is outside outer radius, compute intersection with rmax
651 // - if no intersection return 855 // - if no intersection return
652 // - if valid phi,theta return interse 856 // - if valid phi,theta return intersection Dist
653 // 857 //
654 // -> If shell, compute intersection with inne 858 // -> If shell, compute intersection with inner radius, taking largest +ve root
655 // - if valid phi,theta, save intersect 859 // - if valid phi,theta, save intersection
656 // 860 //
657 // -> If phi segmented, compute intersection w 861 // -> If phi segmented, compute intersection with phi half planes
658 // - if valid intersection(r,theta), re 862 // - if valid intersection(r,theta), return smallest intersection of
659 // inner shell & phi intersection 863 // inner shell & phi intersection
660 // 864 //
661 // -> If theta segmented, compute intersection 865 // -> If theta segmented, compute intersection with theta cones
662 // - if valid intersection(r,phi), retu 866 // - if valid intersection(r,phi), return smallest intersection of
663 // inner shell & theta intersection 867 // inner shell & theta intersection
664 // 868 //
665 // 869 //
666 // NOTE: 870 // NOTE:
667 // - `if valid' (above) implies tolerant check 871 // - `if valid' (above) implies tolerant checking of intersection points
668 // 872 //
669 // OPT: 873 // OPT:
670 // Move tolIO/ORmin/RMax2 precalcs to where th 874 // Move tolIO/ORmin/RMax2 precalcs to where they are needed -
671 // not required for most cases. 875 // not required for most cases.
672 // Avoid atan2 for non theta cut G4Sphere. 876 // Avoid atan2 for non theta cut G4Sphere.
673 877
674 G4double G4Sphere::DistanceToIn( const G4Three 878 G4double G4Sphere::DistanceToIn( const G4ThreeVector& p,
675 const G4Three 879 const G4ThreeVector& v ) const
676 { 880 {
677 G4double snxt = kInfinity ; // snxt = d 881 G4double snxt = kInfinity ; // snxt = default return value
>> 882
678 G4double rho2, rad2, pDotV2d, pDotV3d, pThet 883 G4double rho2, rad2, pDotV2d, pDotV3d, pTheta ;
679 G4double tolSTheta=0., tolETheta=0. ; <<
680 const G4double dRmax = 100.*fRmax; <<
681 884
682 const G4double halfRmaxTolerance = fRmaxTole << 885 G4double tolIRMin2, tolORMin2, tolORMax2, tolIRMax2 ;
683 const G4double halfRminTolerance = fRminTole << 886 G4double tolSTheta=0., tolETheta=0. ;
684 const G4double tolORMin2 = (fRmin>halfRminTo <<
685 ? (fRmin-halfRminTolerance)*(fR <<
686 const G4double tolIRMin2 = <<
687 (fRmin+halfRminTolerance)*(fRmi <<
688 const G4double tolORMax2 = <<
689 (fRmax+halfRmaxTolerance)*(fRma <<
690 const G4double tolIRMax2 = <<
691 (fRmax-halfRmaxTolerance)*(fRma <<
692 887
693 // Intersection point 888 // Intersection point
694 // << 889
695 G4double xi, yi, zi, rhoi, rhoi2, radi2, iTh 890 G4double xi, yi, zi, rhoi, rhoi2, radi2, iTheta ;
696 891
697 // Phi intersection 892 // Phi intersection
698 // <<
699 G4double Comp ; <<
700 893
701 // Phi precalcs << 894 G4double sinSPhi, cosSPhi, ePhi, sinEPhi, cosEPhi , Comp ;
702 // << 895
>> 896 // Phi flag and precalcs
>> 897
>> 898 G4bool segPhi ;
>> 899 G4double hDPhi, hDPhiOT, hDPhiIT, cPhi, sinCPhi=0., cosCPhi=0. ;
>> 900 G4double cosHDPhiOT=0., cosHDPhiIT=0. ;
703 G4double Dist, cosPsi ; 901 G4double Dist, cosPsi ;
704 902
705 // Theta precalcs << 903 G4bool segTheta ; // Theta flag and precals
706 // << 904 G4double tanSTheta, tanETheta ;
>> 905 G4double tanSTheta2, tanETheta2 ;
707 G4double dist2STheta, dist2ETheta ; 906 G4double dist2STheta, dist2ETheta ;
708 G4double t1, t2, b, c, d2, d, sd = kInfinity << 907 G4double t1, t2, b, c, d2, d, s = kInfinity ;
709 908
710 // General Precalcs 909 // General Precalcs
711 // << 910
712 rho2 = p.x()*p.x() + p.y()*p.y() ; 911 rho2 = p.x()*p.x() + p.y()*p.y() ;
713 rad2 = rho2 + p.z()*p.z() ; 912 rad2 = rho2 + p.z()*p.z() ;
714 pTheta = std::atan2(std::sqrt(rho2),p.z()) ; 913 pTheta = std::atan2(std::sqrt(rho2),p.z()) ;
715 914
716 pDotV2d = p.x()*v.x() + p.y()*v.y() ; 915 pDotV2d = p.x()*v.x() + p.y()*v.y() ;
717 pDotV3d = pDotV2d + p.z()*v.z() ; 916 pDotV3d = pDotV2d + p.z()*v.z() ;
718 917
719 // Theta precalcs << 918 // Radial Precalcs
720 // << 919
721 if (!fFullThetaSphere) << 920 if (fRmin > kRadTolerance*0.5)
722 { 921 {
723 tolSTheta = fSTheta - halfAngTolerance ; << 922 tolORMin2=(fRmin-kRadTolerance*0.5)*(fRmin-kRadTolerance*0.5);
724 tolETheta = eTheta + halfAngTolerance ; << 923 }
>> 924 else
>> 925 {
>> 926 tolORMin2 = 0 ;
>> 927 }
>> 928 tolIRMin2 = (fRmin+kRadTolerance*0.5)*(fRmin+kRadTolerance*0.5) ;
>> 929 tolORMax2 = (fRmax+kRadTolerance*0.5)*(fRmax+kRadTolerance*0.5) ;
>> 930 tolIRMax2 = (fRmax-kRadTolerance*0.5)*(fRmax-kRadTolerance*0.5) ;
725 931
726 // Special case rad2 = 0 comparing with di << 932 // Set phi divided flag and precalcs
727 // << 933
728 if ((rad2!=0.0) || (fRmin!=0.0)) << 934 if (fDPhi < twopi)
729 { << 935 {
730 // Keep going for computation of distanc << 936 segPhi = true ;
731 } << 937 hDPhi = 0.5*fDPhi ; // half delta phi
732 else // Positioned on the sphere's origin << 938 cPhi = fSPhi + hDPhi ;
733 { << 939
734 G4double vTheta = std::atan2(std::sqrt(v << 940 hDPhiOT = hDPhi+0.5*kAngTolerance; // Outer Tolerant half delta phi
735 if ( (vTheta < tolSTheta) || (vTheta > t << 941 hDPhiIT = hDPhi-0.5*kAngTolerance;
736 { << 942
737 return snxt ; // kInfinity << 943 sinCPhi = std::sin(cPhi) ;
738 } << 944 cosCPhi = std::cos(cPhi) ;
739 return snxt = 0.0 ; << 945 cosHDPhiOT = std::cos(hDPhiOT) ;
740 } << 946 cosHDPhiIT = std::cos(hDPhiIT) ;
>> 947 }
>> 948 else
>> 949 {
>> 950 segPhi = false ;
>> 951 }
>> 952
>> 953 // Theta precalcs
>> 954
>> 955 if (fDTheta < pi )
>> 956 {
>> 957 segTheta = true ;
>> 958 tolSTheta = fSTheta - kAngTolerance*0.5 ;
>> 959 tolETheta = fSTheta + fDTheta + kAngTolerance*0.5 ;
>> 960 }
>> 961 else
>> 962 {
>> 963 segTheta = false ;
741 } 964 }
742 965
743 // Outer spherical shell intersection 966 // Outer spherical shell intersection
744 // - Only if outside tolerant fRmax 967 // - Only if outside tolerant fRmax
745 // - Check for if inside and outer G4Sphere 968 // - Check for if inside and outer G4Sphere heading through solid (-> 0)
746 // - No intersect -> no intersection with G4 969 // - No intersect -> no intersection with G4Sphere
747 // 970 //
748 // Shell eqn: x^2+y^2+z^2=RSPH^2 971 // Shell eqn: x^2+y^2+z^2=RSPH^2
749 // 972 //
750 // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 973 // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2
751 // 974 //
752 // => (px^2+py^2+pz^2) +2sd(pxvx+pyvy+pzvz)+ << 975 // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2
753 // => rad2 +2sd(pDotV3d) + << 976 // => rad2 +2s(pDotV3d) +s^2 =R^2
754 // 977 //
755 // => sd=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2 << 978 // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2))
756 979
757 c = rad2 - fRmax*fRmax ; 980 c = rad2 - fRmax*fRmax ;
>> 981 const G4double flexRadMaxTolerance = // kRadTolerance;
>> 982 std::max(kRadTolerance, fEpsilon * fRmax);
758 983
759 if (c > fRmaxTolerance*fRmax) << 984 // if (c > kRadTolerance*fRmax)
>> 985 if (c > flexRadMaxTolerance*fRmax)
760 { 986 {
761 // If outside tolerant boundary of outer G << 987 // If outside toleranct boundary of outer G4Sphere
762 // [should be std::sqrt(rad2)-fRmax > half << 988 // [should be std::sqrt(rad2)-fRmax > kRadTolerance*0.5]
763 989
764 d2 = pDotV3d*pDotV3d - c ; 990 d2 = pDotV3d*pDotV3d - c ;
765 991
766 if ( d2 >= 0 ) 992 if ( d2 >= 0 )
767 { 993 {
768 sd = -pDotV3d - std::sqrt(d2) ; << 994 s = -pDotV3d - std::sqrt(d2) ;
769 995
770 if (sd >= 0 ) << 996 if (s >= 0 )
771 { 997 {
772 if ( sd>dRmax ) // Avoid rounding erro << 998 xi = p.x() + s*v.x() ;
773 { // 64 bits systems. Sp << 999 yi = p.y() + s*v.y() ;
774 G4double fTerm = sd-std::fmod(sd,dRm <<
775 sd = fTerm + DistanceToIn(p+fTerm*v, <<
776 } <<
777 xi = p.x() + sd*v.x() ; <<
778 yi = p.y() + sd*v.y() ; <<
779 rhoi = std::sqrt(xi*xi + yi*yi) ; 1000 rhoi = std::sqrt(xi*xi + yi*yi) ;
780 1001
781 if (!fFullPhiSphere && (rhoi != 0.0)) << 1002 if (segPhi && rhoi) // Check phi intersection
782 { 1003 {
783 cosPsi = (xi*cosCPhi + yi*sinCPhi)/r 1004 cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ;
784 1005
785 if (cosPsi >= cosHDPhiOT) 1006 if (cosPsi >= cosHDPhiOT)
786 { 1007 {
787 if (!fFullThetaSphere) // Check << 1008 if (segTheta) // Check theta intersection
788 { 1009 {
789 zi = p.z() + sd*v.z() ; << 1010 zi = p.z() + s*v.z() ;
790 1011
791 // rhoi & zi can never both be 0 1012 // rhoi & zi can never both be 0
792 // (=>intersect at origin =>fRma 1013 // (=>intersect at origin =>fRmax=0)
793 // 1014 //
794 iTheta = std::atan2(rhoi,zi) ; 1015 iTheta = std::atan2(rhoi,zi) ;
795 if ( (iTheta >= tolSTheta) && (i 1016 if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) )
796 { 1017 {
797 return snxt = sd ; << 1018 return snxt = s ;
798 } 1019 }
799 } 1020 }
800 else 1021 else
801 { 1022 {
802 return snxt=sd; << 1023 return snxt=s;
803 } 1024 }
804 } 1025 }
805 } 1026 }
806 else 1027 else
807 { 1028 {
808 if (!fFullThetaSphere) // Check t << 1029 if (segTheta) // Check theta intersection
809 { 1030 {
810 zi = p.z() + sd*v.z() ; << 1031 zi = p.z() + s*v.z() ;
811 1032
812 // rhoi & zi can never both be 0 1033 // rhoi & zi can never both be 0
813 // (=>intersect at origin => fRmax 1034 // (=>intersect at origin => fRmax=0 !)
814 // 1035 //
815 iTheta = std::atan2(rhoi,zi) ; 1036 iTheta = std::atan2(rhoi,zi) ;
816 if ( (iTheta >= tolSTheta) && (iTh 1037 if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) )
817 { 1038 {
818 return snxt=sd; << 1039 return snxt=s;
819 } 1040 }
820 } 1041 }
821 else 1042 else
822 { 1043 {
823 return snxt = sd; << 1044 return snxt = s ;
824 } 1045 }
825 } << 1046 }
826 } 1047 }
827 } 1048 }
828 else // No intersection with G4Sphere 1049 else // No intersection with G4Sphere
829 { 1050 {
830 return snxt=kInfinity; 1051 return snxt=kInfinity;
831 } 1052 }
832 } 1053 }
833 else 1054 else
834 { 1055 {
835 // Inside outer radius 1056 // Inside outer radius
836 // check not inside, and heading through G 1057 // check not inside, and heading through G4Sphere (-> 0 to in)
837 1058
838 d2 = pDotV3d*pDotV3d - c ; 1059 d2 = pDotV3d*pDotV3d - c ;
839 1060
840 if ( (rad2 > tolIRMax2) << 1061 // if (rad2 > tolIRMin2 && pDotV3d < 0 )
841 && ( (d2 >= fRmaxTolerance*fRmax) && (pD << 1062
>> 1063 if (rad2 > tolIRMax2 && ( d2 >= flexRadMaxTolerance*fRmax && pDotV3d < 0 ) )
842 { 1064 {
843 if (!fFullPhiSphere) << 1065 if (segPhi)
844 { 1066 {
845 // Use inner phi tolerant boundary -> 1067 // Use inner phi tolerant boundary -> if on tolerant
846 // phi boundaries, phi intersect code 1068 // phi boundaries, phi intersect code handles leaving/entering checks
847 1069
848 cosPsi = (p.x()*cosCPhi + p.y()*sinCPh 1070 cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ;
849 1071
850 if (cosPsi>=cosHDPhiIT) 1072 if (cosPsi>=cosHDPhiIT)
851 { << 1073 {
852 // inside radii, delta r -ve, inside 1074 // inside radii, delta r -ve, inside phi
853 1075
854 if ( !fFullThetaSphere ) << 1076 if (segTheta)
855 { 1077 {
856 if ( (pTheta >= tolSTheta + kAngTo 1078 if ( (pTheta >= tolSTheta + kAngTolerance)
857 && (pTheta <= tolETheta - kAngTo 1079 && (pTheta <= tolETheta - kAngTolerance) )
858 { 1080 {
859 return snxt=0; 1081 return snxt=0;
860 } 1082 }
861 } 1083 }
862 else // strictly inside Theta in 1084 else // strictly inside Theta in both cases
863 { 1085 {
864 return snxt=0; 1086 return snxt=0;
865 } 1087 }
866 } 1088 }
867 } 1089 }
868 else 1090 else
869 { 1091 {
870 if ( !fFullThetaSphere ) << 1092 if ( segTheta )
871 { 1093 {
872 if ( (pTheta >= tolSTheta + kAngTole 1094 if ( (pTheta >= tolSTheta + kAngTolerance)
873 && (pTheta <= tolETheta - kAngTole 1095 && (pTheta <= tolETheta - kAngTolerance) )
874 { 1096 {
875 return snxt=0; 1097 return snxt=0;
876 } 1098 }
877 } 1099 }
878 else // strictly inside Theta in bot 1100 else // strictly inside Theta in both cases
879 { 1101 {
880 return snxt=0; 1102 return snxt=0;
881 } 1103 }
882 } 1104 }
883 } 1105 }
884 } 1106 }
885 1107
886 // Inner spherical shell intersection 1108 // Inner spherical shell intersection
887 // - Always farthest root, because would hav 1109 // - Always farthest root, because would have passed through outer
888 // surface first. 1110 // surface first.
889 // - Tolerant check if travelling through so << 1111 // - Tolerant check for if travelling through solid
890 1112
891 if (fRmin != 0.0) << 1113 if (fRmin)
892 { 1114 {
893 c = rad2 - fRmin*fRmin ; 1115 c = rad2 - fRmin*fRmin ;
894 d2 = pDotV3d*pDotV3d - c ; 1116 d2 = pDotV3d*pDotV3d - c ;
895 1117
896 // Within tolerance inner radius of inner 1118 // Within tolerance inner radius of inner G4Sphere
897 // Check for immediate entry/already insid 1119 // Check for immediate entry/already inside and travelling outwards
898 1120
899 if ( (c > -halfRminTolerance) && (rad2 < t << 1121 // if (c >- kRadTolerance*0.5 && pDotV3d >= 0 && rad2 < tolIRMin2 )
900 && ( (d2 < fRmin*kCarTolerance) || (pDot << 1122
>> 1123 if ( c > -kRadTolerance*0.5 && rad2 < tolIRMin2 &&
>> 1124 ( d2 < fRmin*kCarTolerance || pDotV3d >= 0 ) )
901 { 1125 {
902 if ( !fFullPhiSphere ) << 1126 if (segPhi)
903 { 1127 {
904 // Use inner phi tolerant boundary -> 1128 // Use inner phi tolerant boundary -> if on tolerant
905 // phi boundaries, phi intersect code 1129 // phi boundaries, phi intersect code handles leaving/entering checks
906 1130
907 cosPsi = (p.x()*cosCPhi+p.y()*sinCPhi) 1131 cosPsi = (p.x()*cosCPhi+p.y()*sinCPhi)/std::sqrt(rho2) ;
908 if (cosPsi >= cosHDPhiIT) 1132 if (cosPsi >= cosHDPhiIT)
909 { << 1133 {
910 // inside radii, delta r -ve, inside 1134 // inside radii, delta r -ve, inside phi
911 // 1135 //
912 if ( !fFullThetaSphere ) << 1136 if (segTheta)
913 { 1137 {
914 if ( (pTheta >= tolSTheta + kAngTo 1138 if ( (pTheta >= tolSTheta + kAngTolerance)
915 && (pTheta <= tolETheta - kAngTo 1139 && (pTheta <= tolETheta - kAngTolerance) )
916 { 1140 {
917 return snxt=0; 1141 return snxt=0;
918 } 1142 }
919 } 1143 }
920 else 1144 else
921 { 1145 {
922 return snxt = 0 ; 1146 return snxt = 0 ;
923 } 1147 }
924 } 1148 }
925 } 1149 }
926 else 1150 else
927 { 1151 {
928 if ( !fFullThetaSphere ) << 1152 if (segTheta)
929 { 1153 {
930 if ( (pTheta >= tolSTheta + kAngTole 1154 if ( (pTheta >= tolSTheta + kAngTolerance)
931 && (pTheta <= tolETheta - kAngTole 1155 && (pTheta <= tolETheta - kAngTolerance) )
932 { 1156 {
933 return snxt = 0 ; 1157 return snxt = 0 ;
934 } 1158 }
935 } 1159 }
936 else 1160 else
937 { 1161 {
938 return snxt=0; 1162 return snxt=0;
939 } 1163 }
940 } 1164 }
941 } 1165 }
942 else // Not special tolerant case 1166 else // Not special tolerant case
943 { 1167 {
>> 1168 // d2 = pDotV3d*pDotV3d - c ;
>> 1169
944 if (d2 >= 0) 1170 if (d2 >= 0)
945 { 1171 {
946 sd = -pDotV3d + std::sqrt(d2) ; << 1172 s = -pDotV3d + std::sqrt(d2) ;
947 if ( sd >= halfRminTolerance ) // It << 1173 if ( s >= kRadTolerance*0.5 ) // It was >= 0 ??
948 { 1174 {
949 xi = p.x() + sd*v.x() ; << 1175 xi = p.x() + s*v.x() ;
950 yi = p.y() + sd*v.y() ; << 1176 yi = p.y() + s*v.y() ;
951 rhoi = std::sqrt(xi*xi+yi*yi) ; 1177 rhoi = std::sqrt(xi*xi+yi*yi) ;
952 1178
953 if ( !fFullPhiSphere && (rhoi != 0.0 << 1179 if ( segPhi && rhoi ) // Check phi intersection
954 { 1180 {
955 cosPsi = (xi*cosCPhi + yi*sinCPhi) 1181 cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ;
956 1182
957 if (cosPsi >= cosHDPhiOT) 1183 if (cosPsi >= cosHDPhiOT)
958 { 1184 {
959 if ( !fFullThetaSphere ) // Che << 1185 if (segTheta) // Check theta intersection
960 { 1186 {
961 zi = p.z() + sd*v.z() ; << 1187 zi = p.z() + s*v.z() ;
962 1188
963 // rhoi & zi can never both be 1189 // rhoi & zi can never both be 0
964 // (=>intersect at origin =>fR 1190 // (=>intersect at origin =>fRmax=0)
965 // 1191 //
966 iTheta = std::atan2(rhoi,zi) ; 1192 iTheta = std::atan2(rhoi,zi) ;
967 if ( (iTheta >= tolSTheta) && 1193 if ( (iTheta >= tolSTheta) && (iTheta<=tolETheta) )
968 { 1194 {
969 snxt = sd; << 1195 snxt = s ;
970 } 1196 }
971 } 1197 }
972 else 1198 else
973 { 1199 {
974 snxt=sd; << 1200 snxt=s;
975 } 1201 }
976 } 1202 }
977 } 1203 }
978 else 1204 else
979 { 1205 {
980 if ( !fFullThetaSphere ) // Chec << 1206 if (segTheta) // Check theta intersection
981 { 1207 {
982 zi = p.z() + sd*v.z() ; << 1208 zi = p.z() + s*v.z() ;
983 1209
984 // rhoi & zi can never both be 0 1210 // rhoi & zi can never both be 0
985 // (=>intersect at origin => fRm 1211 // (=>intersect at origin => fRmax=0 !)
986 // 1212 //
987 iTheta = std::atan2(rhoi,zi) ; 1213 iTheta = std::atan2(rhoi,zi) ;
988 if ( (iTheta >= tolSTheta) && (i 1214 if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) )
989 { 1215 {
990 snxt = sd; << 1216 snxt = s ;
991 } 1217 }
992 } 1218 }
993 else 1219 else
994 { 1220 {
995 snxt = sd; << 1221 snxt=s;
996 } 1222 }
997 } 1223 }
998 } 1224 }
999 } 1225 }
1000 } 1226 }
1001 } 1227 }
1002 1228
1003 // Phi segment intersection 1229 // Phi segment intersection
1004 // 1230 //
1005 // o Tolerant of points inside phi planes b 1231 // o Tolerant of points inside phi planes by up to kCarTolerance*0.5
1006 // 1232 //
1007 // o NOTE: Large duplication of code betwee 1233 // o NOTE: Large duplication of code between sphi & ephi checks
1008 // -> only diffs: sphi -> ephi, Com 1234 // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane
1009 // intersection check <=0 -> >=0 1235 // intersection check <=0 -> >=0
1010 // -> Should use some form of loop 1236 // -> Should use some form of loop Construct
1011 // 1237 //
1012 if ( !fFullPhiSphere ) << 1238 if ( segPhi )
1013 { 1239 {
1014 // First phi surface ('S'tarting phi) << 1240 // First phi surface (`S'tarting phi)
>> 1241
>> 1242 sinSPhi = std::sin(fSPhi) ;
>> 1243 cosSPhi = std::cos(fSPhi) ;
>> 1244
1015 // Comp = Component in outwards normal di 1245 // Comp = Component in outwards normal dirn
1016 // 1246 //
1017 Comp = v.x()*sinSPhi - v.y()*cosSPhi ; << 1247 Comp = v.x()*sinSPhi - v.y()*cosSPhi ;
1018 << 1248
1019 if ( Comp < 0 ) 1249 if ( Comp < 0 )
1020 { 1250 {
1021 Dist = p.y()*cosSPhi - p.x()*sinSPhi ; 1251 Dist = p.y()*cosSPhi - p.x()*sinSPhi ;
1022 1252
1023 if (Dist < halfCarTolerance) << 1253 if (Dist < kCarTolerance*0.5)
1024 { 1254 {
1025 sd = Dist/Comp ; << 1255 s = Dist/Comp ;
1026 1256
1027 if (sd < snxt) << 1257 if (s < snxt)
1028 { 1258 {
1029 if ( sd > 0 ) << 1259 if ( s > 0 )
1030 { 1260 {
1031 xi = p.x() + sd*v.x() ; << 1261 xi = p.x() + s*v.x() ;
1032 yi = p.y() + sd*v.y() ; << 1262 yi = p.y() + s*v.y() ;
1033 zi = p.z() + sd*v.z() ; << 1263 zi = p.z() + s*v.z() ;
1034 rhoi2 = xi*xi + yi*yi ; 1264 rhoi2 = xi*xi + yi*yi ;
1035 radi2 = rhoi2 + zi*zi ; 1265 radi2 = rhoi2 + zi*zi ;
1036 } 1266 }
1037 else 1267 else
1038 { 1268 {
1039 sd = 0 ; << 1269 s = 0 ;
1040 xi = p.x() ; 1270 xi = p.x() ;
1041 yi = p.y() ; 1271 yi = p.y() ;
1042 zi = p.z() ; 1272 zi = p.z() ;
1043 rhoi2 = rho2 ; 1273 rhoi2 = rho2 ;
1044 radi2 = rad2 ; 1274 radi2 = rad2 ;
1045 } 1275 }
1046 if ( (radi2 <= tolORMax2) 1276 if ( (radi2 <= tolORMax2)
1047 && (radi2 >= tolORMin2) 1277 && (radi2 >= tolORMin2)
1048 && ((yi*cosCPhi-xi*sinCPhi) <= 0) 1278 && ((yi*cosCPhi-xi*sinCPhi) <= 0) )
1049 { 1279 {
1050 // Check theta intersection 1280 // Check theta intersection
1051 // rhoi & zi can never both be 0 1281 // rhoi & zi can never both be 0
1052 // (=>intersect at origin =>fRmax 1282 // (=>intersect at origin =>fRmax=0)
1053 // 1283 //
1054 if ( !fFullThetaSphere ) << 1284 if ( segTheta )
1055 { 1285 {
1056 iTheta = std::atan2(std::sqrt(r 1286 iTheta = std::atan2(std::sqrt(rhoi2),zi) ;
1057 if ( (iTheta >= tolSTheta) && ( 1287 if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) )
1058 { 1288 {
1059 // r and theta intersections 1289 // r and theta intersections good
1060 // - check intersecting with 1290 // - check intersecting with correct half-plane
1061 1291
1062 if ((yi*cosCPhi-xi*sinCPhi) < 1292 if ((yi*cosCPhi-xi*sinCPhi) <= 0)
1063 { 1293 {
1064 snxt = sd; << 1294 snxt = s ;
1065 } 1295 }
1066 } 1296 }
1067 } 1297 }
1068 else 1298 else
1069 { 1299 {
1070 snxt = sd; << 1300 snxt = s ;
1071 } 1301 }
1072 } 1302 }
1073 } 1303 }
1074 } 1304 }
1075 } 1305 }
1076 1306
1077 // Second phi surface ('E'nding phi) << 1307 // Second phi surface (`E'nding phi)
1078 // Component in outwards normal dirn << 1308
>> 1309 ePhi = fSPhi + fDPhi ;
>> 1310 sinEPhi = std::sin(ePhi) ;
>> 1311 cosEPhi = std::cos(ePhi) ;
1079 1312
1080 Comp = -( v.x()*sinEPhi-v.y()*cosEPhi ) ; << 1313 // Compnent in outwards normal dirn
1081 1314
>> 1315 Comp = -( v.x()*sinEPhi-v.y()*cosEPhi ) ;
>> 1316
1082 if (Comp < 0) 1317 if (Comp < 0)
1083 { 1318 {
1084 Dist = -(p.y()*cosEPhi-p.x()*sinEPhi) ; 1319 Dist = -(p.y()*cosEPhi-p.x()*sinEPhi) ;
1085 if ( Dist < halfCarTolerance ) << 1320 if ( Dist < kCarTolerance*0.5 )
1086 { 1321 {
1087 sd = Dist/Comp ; << 1322 s = Dist/Comp ;
1088 1323
1089 if ( sd < snxt ) << 1324 if ( s < snxt )
1090 { 1325 {
1091 if (sd > 0) << 1326 if (s > 0)
1092 { 1327 {
1093 xi = p.x() + sd*v.x() ; << 1328 xi = p.x() + s*v.x() ;
1094 yi = p.y() + sd*v.y() ; << 1329 yi = p.y() + s*v.y() ;
1095 zi = p.z() + sd*v.z() ; << 1330 zi = p.z() + s*v.z() ;
1096 rhoi2 = xi*xi + yi*yi ; 1331 rhoi2 = xi*xi + yi*yi ;
1097 radi2 = rhoi2 + zi*zi ; 1332 radi2 = rhoi2 + zi*zi ;
1098 } 1333 }
1099 else 1334 else
1100 { 1335 {
1101 sd = 0 ; << 1336 s = 0 ;
1102 xi = p.x() ; 1337 xi = p.x() ;
1103 yi = p.y() ; 1338 yi = p.y() ;
1104 zi = p.z() ; 1339 zi = p.z() ;
1105 rhoi2 = rho2 ; 1340 rhoi2 = rho2 ;
1106 radi2 = rad2 ; 1341 radi2 = rad2 ;
1107 } << 1342 } if ( (radi2 <= tolORMax2)
1108 if ( (radi2 <= tolORMax2) <<
1109 && (radi2 >= tolORMin2) 1343 && (radi2 >= tolORMin2)
1110 && ((yi*cosCPhi-xi*sinCPhi) >= 0) 1344 && ((yi*cosCPhi-xi*sinCPhi) >= 0) )
1111 { 1345 {
1112 // Check theta intersection 1346 // Check theta intersection
1113 // rhoi & zi can never both be 0 1347 // rhoi & zi can never both be 0
1114 // (=>intersect at origin =>fRmax 1348 // (=>intersect at origin =>fRmax=0)
1115 // 1349 //
1116 if ( !fFullThetaSphere ) << 1350 if ( segTheta )
1117 { 1351 {
1118 iTheta = std::atan2(std::sqrt(r 1352 iTheta = std::atan2(std::sqrt(rhoi2),zi) ;
1119 if ( (iTheta >= tolSTheta) && ( 1353 if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) )
1120 { 1354 {
1121 // r and theta intersections 1355 // r and theta intersections good
1122 // - check intersecting with 1356 // - check intersecting with correct half-plane
1123 1357
1124 if ((yi*cosCPhi-xi*sinCPhi) > 1358 if ((yi*cosCPhi-xi*sinCPhi) >= 0)
1125 { 1359 {
1126 snxt = sd; << 1360 snxt = s ;
1127 } 1361 }
1128 } 1362 }
1129 } 1363 }
1130 else 1364 else
1131 { 1365 {
1132 snxt = sd; << 1366 snxt = s ;
1133 } 1367 }
1134 } 1368 }
1135 } 1369 }
1136 } 1370 }
1137 } 1371 }
1138 } 1372 }
1139 1373
1140 // Theta segment intersection 1374 // Theta segment intersection
1141 1375
1142 if ( !fFullThetaSphere ) << 1376 if ( segTheta )
1143 { 1377 {
1144 1378
1145 // Intersection with theta surfaces 1379 // Intersection with theta surfaces
1146 // Known failure cases: 1380 // Known failure cases:
1147 // o Inside tolerance of stheta surface, 1381 // o Inside tolerance of stheta surface, skim
1148 // ~parallel to cone and Hit & enter e 1382 // ~parallel to cone and Hit & enter etheta surface [& visa versa]
1149 // 1383 //
1150 // To solve: Check 2nd root of etheta 1384 // To solve: Check 2nd root of etheta surface in addition to stheta
1151 // 1385 //
1152 // o start/end theta is exactly pi/2 << 1386 // o start/end theta is exactly pi/2
1153 // Intersections with cones 1387 // Intersections with cones
1154 // 1388 //
1155 // Cone equation: x^2+y^2=z^2tan^2(t) 1389 // Cone equation: x^2+y^2=z^2tan^2(t)
1156 // 1390 //
1157 // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan 1391 // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t)
1158 // 1392 //
1159 // => (px^2+py^2-pz^2tan^2(t))+2sd(pxvx+p << 1393 // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t))
1160 // + sd^2(vx^2+vy^2-vz^2tan^2(t)) = << 1394 // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0
1161 // 1395 //
1162 // => sd^2(1-vz^2(1+tan^2(t))+2sd(pdotv2d << 1396 // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0
1163 // + (rho2-pz^2tan^2(t)) = 0 <<
1164 1397
1165 if (fSTheta != 0.0) << 1398 tanSTheta = std::tan(fSTheta) ;
>> 1399 tanSTheta2 = tanSTheta*tanSTheta ;
>> 1400 tanETheta = std::tan(fSTheta+fDTheta) ;
>> 1401 tanETheta2 = tanETheta*tanETheta ;
>> 1402
>> 1403 if (fSTheta)
1166 { 1404 {
1167 dist2STheta = rho2 - p.z()*p.z()*tanSTh 1405 dist2STheta = rho2 - p.z()*p.z()*tanSTheta2 ;
1168 } 1406 }
1169 else 1407 else
1170 { 1408 {
1171 dist2STheta = kInfinity ; 1409 dist2STheta = kInfinity ;
1172 } 1410 }
1173 if ( eTheta < pi ) << 1411 if ( fSTheta + fDTheta < pi )
1174 { 1412 {
1175 dist2ETheta=rho2-p.z()*p.z()*tanETheta2 1413 dist2ETheta=rho2-p.z()*p.z()*tanETheta2;
1176 } 1414 }
1177 else << 1415 else
1178 { 1416 {
1179 dist2ETheta=kInfinity; 1417 dist2ETheta=kInfinity;
1180 } << 1418 }
1181 if ( pTheta < tolSTheta ) << 1419 if ( pTheta < tolSTheta) // dist2STheta<-kRadTolerance*0.5 && dist2ETheta>0)
1182 { 1420 {
1183 // Inside (theta<stheta-tol) stheta con << 1421 // Inside (theta<stheta-tol) s theta cone
1184 // First root of stheta cone, second if 1422 // First root of stheta cone, second if first root -ve
1185 1423
1186 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; 1424 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ;
1187 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; 1425 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ;
1188 if (t1 != 0.0) << 1426
>> 1427 b = t2/t1 ;
>> 1428 c = dist2STheta/t1 ;
>> 1429 d2 = b*b - c ;
>> 1430
>> 1431 if ( d2 >= 0 )
1189 { 1432 {
1190 b = t2/t1 ; << 1433 d = std::sqrt(d2) ;
1191 c = dist2STheta/t1 ; << 1434 s = -b - d ; // First root
1192 d2 = b*b - c ; << 1435 zi = p.z() + s*v.z();
1193 1436
1194 if ( d2 >= 0 ) << 1437 if ( s < 0 || zi*(fSTheta - halfpi) > 0 )
1195 { 1438 {
1196 d = std::sqrt(d2) ; << 1439 s = -b+d; // Second root
1197 sd = -b - d ; // First root << 1440 }
1198 zi = p.z() + sd*v.z(); << 1441 if (s >= 0 && s < snxt)
1199 << 1442 {
1200 if ( (sd < 0) || (zi*(fSTheta - hal << 1443 xi = p.x() + s*v.x();
1201 { << 1444 yi = p.y() + s*v.y();
1202 sd = -b+d; // Second root << 1445 zi = p.z() + s*v.z();
1203 } << 1446 rhoi2 = xi*xi + yi*yi;
1204 if ((sd >= 0) && (sd < snxt)) << 1447 radi2 = rhoi2 + zi*zi;
>> 1448 if ( (radi2 <= tolORMax2)
>> 1449 && (radi2 >= tolORMin2)
>> 1450 && (zi*(fSTheta - halfpi) <= 0) )
1205 { 1451 {
1206 xi = p.x() + sd*v.x(); << 1452 if ( segPhi && rhoi2 ) // Check phi intersection
1207 yi = p.y() + sd*v.y(); <<
1208 zi = p.z() + sd*v.z(); <<
1209 rhoi2 = xi*xi + yi*yi; <<
1210 radi2 = rhoi2 + zi*zi; <<
1211 if ( (radi2 <= tolORMax2) <<
1212 && (radi2 >= tolORMin2) <<
1213 && (zi*(fSTheta - halfpi) <= 0) <<
1214 { 1453 {
1215 if ( !fFullPhiSphere && (rhoi2 << 1454 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
>> 1455 if (cosPsi >= cosHDPhiOT)
1216 { 1456 {
1217 cosPsi = (xi*cosCPhi + yi*sin << 1457 snxt = s ;
1218 if (cosPsi >= cosHDPhiOT) <<
1219 { <<
1220 snxt = sd; <<
1221 } <<
1222 } <<
1223 else <<
1224 { <<
1225 snxt = sd; <<
1226 } 1458 }
1227 } 1459 }
>> 1460 else
>> 1461 {
>> 1462 snxt = s ;
>> 1463 }
1228 } 1464 }
1229 } 1465 }
1230 } 1466 }
1231 1467
1232 // Possible intersection with ETheta co << 1468 // Possible intersection with ETheta cone.
1233 // Second >= 0 root should be considere 1469 // Second >= 0 root should be considered
1234 << 1470
1235 if ( eTheta < pi ) << 1471 if ( fSTheta + fDTheta < pi )
1236 { 1472 {
1237 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) 1473 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ;
1238 t2 = pDotV2d - p.z()*v.z()*tanETheta2 1474 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ;
1239 if (t1 != 0.0) << 1475
>> 1476 b = t2/t1 ;
>> 1477 c = dist2ETheta/t1 ;
>> 1478 d2 = b*b - c ;
>> 1479
>> 1480 if (d2 >= 0)
1240 { 1481 {
1241 b = t2/t1 ; << 1482 d = std::sqrt(d2) ;
1242 c = dist2ETheta/t1 ; << 1483 s = -b + d ; // Second root
1243 d2 = b*b - c ; <<
1244 1484
1245 if (d2 >= 0) << 1485 if (s >= 0 && s < snxt)
1246 { 1486 {
1247 d = std::sqrt(d2) ; << 1487 xi = p.x() + s*v.x() ;
1248 sd = -b + d ; // Second root << 1488 yi = p.y() + s*v.y() ;
>> 1489 zi = p.z() + s*v.z() ;
>> 1490 rhoi2 = xi*xi + yi*yi ;
>> 1491 radi2 = rhoi2 + zi*zi ;
1249 1492
1250 if ( (sd >= 0) && (sd < snxt) ) << 1493 if ( (radi2 <= tolORMax2)
>> 1494 && (radi2 >= tolORMin2)
>> 1495 && (zi*(fSTheta + fDTheta - halfpi) <= 0) )
1251 { 1496 {
1252 xi = p.x() + sd*v.x() ; << 1497 if (segPhi && rhoi2) // Check phi intersection
1253 yi = p.y() + sd*v.y() ; <<
1254 zi = p.z() + sd*v.z() ; <<
1255 rhoi2 = xi*xi + yi*yi ; <<
1256 radi2 = rhoi2 + zi*zi ; <<
1257 <<
1258 if ( (radi2 <= tolORMax2) <<
1259 && (radi2 >= tolORMin2) <<
1260 && (zi*(eTheta - halfpi) <= 0 <<
1261 { 1498 {
1262 if (!fFullPhiSphere && (rhoi2 << 1499 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
1263 { << 1500 if (cosPsi >= cosHDPhiOT)
1264 cosPsi = (xi*cosCPhi + yi*s <<
1265 if (cosPsi >= cosHDPhiOT) <<
1266 { <<
1267 snxt = sd; <<
1268 } <<
1269 } <<
1270 else <<
1271 { 1501 {
1272 snxt = sd; << 1502 snxt = s ;
1273 } 1503 }
1274 } 1504 }
>> 1505 else
>> 1506 {
>> 1507 snxt = s ;
>> 1508 }
1275 } 1509 }
1276 } 1510 }
1277 } 1511 }
1278 } 1512 }
1279 } << 1513 }
1280 else if ( pTheta > tolETheta ) << 1514 else if ( pTheta > tolETheta )
1281 { << 1515 {
1282 // dist2ETheta<-kRadTolerance*0.5 && di 1516 // dist2ETheta<-kRadTolerance*0.5 && dist2STheta>0)
1283 // Inside (theta > etheta+tol) e-theta 1517 // Inside (theta > etheta+tol) e-theta cone
1284 // First root of etheta cone, second if << 1518 // First root of etheta cone, second if first root `imaginary'
1285 1519
1286 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; 1520 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ;
1287 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; 1521 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ;
1288 if (t1 != 0.0) << 1522
>> 1523 b = t2/t1 ;
>> 1524 c = dist2ETheta/t1 ;
>> 1525 d2 = b*b - c ;
>> 1526
>> 1527 if (d2 >= 0)
1289 { 1528 {
1290 b = t2/t1 ; << 1529 d = std::sqrt(d2) ;
1291 c = dist2ETheta/t1 ; << 1530 s = -b - d ; // First root
1292 d2 = b*b - c ; << 1531 zi = p.z() + s*v.z();
1293 1532
1294 if (d2 >= 0) << 1533 if (s < 0 || zi*(fSTheta + fDTheta - halfpi) > 0)
>> 1534 {
>> 1535 s = -b + d ; // second root
>> 1536 }
>> 1537 if (s >= 0 && s < snxt)
1295 { 1538 {
1296 d = std::sqrt(d2) ; << 1539 xi = p.x() + s*v.x() ;
1297 sd = -b - d ; // First root << 1540 yi = p.y() + s*v.y() ;
1298 zi = p.z() + sd*v.z(); << 1541 zi = p.z() + s*v.z() ;
>> 1542 rhoi2 = xi*xi + yi*yi ;
>> 1543 radi2 = rhoi2 + zi*zi ;
1299 1544
1300 if ( (sd < 0) || (zi*(eTheta - half << 1545 if ( (radi2 <= tolORMax2)
1301 { << 1546 && (radi2 >= tolORMin2)
1302 sd = -b + d ; // second << 1547 && (zi*(fSTheta + fDTheta - halfpi) <= 0) )
1303 } <<
1304 if ( (sd >= 0) && (sd < snxt) ) <<
1305 { 1548 {
1306 xi = p.x() + sd*v.x() ; << 1549 if (segPhi && rhoi2) // Check phi intersection
1307 yi = p.y() + sd*v.y() ; <<
1308 zi = p.z() + sd*v.z() ; <<
1309 rhoi2 = xi*xi + yi*yi ; <<
1310 radi2 = rhoi2 + zi*zi ; <<
1311 <<
1312 if ( (radi2 <= tolORMax2) <<
1313 && (radi2 >= tolORMin2) <<
1314 && (zi*(eTheta - halfpi) <= 0) <<
1315 { 1550 {
1316 if (!fFullPhiSphere && (rhoi2 ! << 1551 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
>> 1552 if (cosPsi >= cosHDPhiOT)
1317 { 1553 {
1318 cosPsi = (xi*cosCPhi + yi*sin << 1554 snxt = s ;
1319 if (cosPsi >= cosHDPhiOT) <<
1320 { <<
1321 snxt = sd; <<
1322 } <<
1323 } <<
1324 else <<
1325 { <<
1326 snxt = sd; <<
1327 } 1555 }
1328 } 1556 }
>> 1557 else
>> 1558 {
>> 1559 snxt = s ;
>> 1560 }
1329 } 1561 }
1330 } 1562 }
1331 } 1563 }
1332 1564
1333 // Possible intersection with STheta co << 1565 // Possible intersection with STheta cone.
1334 // Second >= 0 root should be considere 1566 // Second >= 0 root should be considered
1335 << 1567
1336 if ( fSTheta != 0.0 ) << 1568 if ( fSTheta )
1337 { 1569 {
1338 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) 1570 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ;
1339 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 1571 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ;
1340 if (t1 != 0.0) << 1572
>> 1573 b = t2/t1 ;
>> 1574 c = dist2STheta/t1 ;
>> 1575 d2 = b*b - c ;
>> 1576
>> 1577 if (d2 >= 0)
1341 { 1578 {
1342 b = t2/t1 ; << 1579 d = std::sqrt(d2) ;
1343 c = dist2STheta/t1 ; << 1580 s = -b + d ; // Second root
1344 d2 = b*b - c ; <<
1345 1581
1346 if (d2 >= 0) << 1582 if ( (s >= 0) && (s < snxt) )
1347 { 1583 {
1348 d = std::sqrt(d2) ; << 1584 xi = p.x() + s*v.x() ;
1349 sd = -b + d ; // Second root << 1585 yi = p.y() + s*v.y() ;
>> 1586 zi = p.z() + s*v.z() ;
>> 1587 rhoi2 = xi*xi + yi*yi ;
>> 1588 radi2 = rhoi2 + zi*zi ;
1350 1589
1351 if ( (sd >= 0) && (sd < snxt) ) << 1590 if ( (radi2 <= tolORMax2)
>> 1591 && (radi2 >= tolORMin2)
>> 1592 && (zi*(fSTheta - halfpi) <= 0) )
1352 { 1593 {
1353 xi = p.x() + sd*v.x() ; << 1594 if (segPhi && rhoi2) // Check phi intersection
1354 yi = p.y() + sd*v.y() ; <<
1355 zi = p.z() + sd*v.z() ; <<
1356 rhoi2 = xi*xi + yi*yi ; <<
1357 radi2 = rhoi2 + zi*zi ; <<
1358 <<
1359 if ( (radi2 <= tolORMax2) <<
1360 && (radi2 >= tolORMin2) <<
1361 && (zi*(fSTheta - halfpi) <= <<
1362 { 1595 {
1363 if (!fFullPhiSphere && (rhoi2 << 1596 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
1364 { << 1597 if (cosPsi >= cosHDPhiOT)
1365 cosPsi = (xi*cosCPhi + yi*s <<
1366 if (cosPsi >= cosHDPhiOT) <<
1367 { <<
1368 snxt = sd; <<
1369 } <<
1370 } <<
1371 else <<
1372 { 1598 {
1373 snxt = sd; << 1599 snxt = s ;
1374 } 1600 }
1375 } 1601 }
>> 1602 else
>> 1603 {
>> 1604 snxt = s ;
>> 1605 }
1376 } 1606 }
1377 } 1607 }
1378 } 1608 }
1379 } << 1609 }
1380 } << 1610 }
1381 else if ( (pTheta < tolSTheta + kAngToler << 1611 else if ( (pTheta <tolSTheta + kAngTolerance)
1382 && (fSTheta > halfAngTolerance) ) << 1612 && (fSTheta > kAngTolerance) )
1383 { 1613 {
1384 // In tolerance of stheta 1614 // In tolerance of stheta
1385 // If entering through solid [r,phi] => 1615 // If entering through solid [r,phi] => 0 to in
1386 // else try 2nd root 1616 // else try 2nd root
1387 1617
1388 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; 1618 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ;
1389 if ( (t2>=0 && tolIRMin2<rad2 && rad2<t << 1619 if ( (t2>=0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta<pi*.5)
1390 || (t2<0 && tolIRMin2<rad2 && rad2<t << 1620 || (t2<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta>pi*.5)
1391 || (v.z()<0 && tolIRMin2<rad2 && rad2 << 1621 || (v.z()<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta==pi*.5) )
1392 { 1622 {
1393 if (!fFullPhiSphere && (rho2 != 0.0)) << 1623 if (segPhi && rho2) // Check phi intersection
1394 { 1624 {
1395 cosPsi = (p.x()*cosCPhi + p.y()*sin 1625 cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ;
1396 if (cosPsi >= cosHDPhiIT) 1626 if (cosPsi >= cosHDPhiIT)
1397 { 1627 {
1398 return 0 ; 1628 return 0 ;
1399 } 1629 }
1400 } 1630 }
1401 else 1631 else
1402 { 1632 {
1403 return 0 ; 1633 return 0 ;
1404 } 1634 }
1405 } 1635 }
1406 1636
1407 // Not entering immediately/travelling 1637 // Not entering immediately/travelling through
1408 1638
1409 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; 1639 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ;
1410 if (t1 != 0.0) << 1640 b = t2/t1 ;
1411 { << 1641 c = dist2STheta/t1 ;
1412 b = t2/t1 ; << 1642 d2 = b*b - c ;
1413 c = dist2STheta/t1 ; <<
1414 d2 = b*b - c ; <<
1415 1643
1416 if (d2 >= 0) << 1644 if (d2 >= 0)
1417 { << 1645 {
1418 d = std::sqrt(d2) ; << 1646 d = std::sqrt(d2) ;
1419 sd = -b + d ; << 1647 s = -b + d ;
1420 if ( (sd >= halfCarTolerance) && (s << 1648 if ( (s >= kCarTolerance*0.5) && (s < snxt) && (fSTheta < pi*0.5) )
1421 { // ^^^^^^^^^^^^^^^^^^^^^ shoul << 1649 {
1422 xi = p.x() + sd*v.x() ; << 1650 xi = p.x() + s*v.x() ;
1423 yi = p.y() + sd*v.y() ; << 1651 yi = p.y() + s*v.y() ;
1424 zi = p.z() + sd*v.z() ; << 1652 zi = p.z() + s*v.z() ;
1425 rhoi2 = xi*xi + yi*yi ; << 1653 rhoi2 = xi*xi + yi*yi ;
1426 radi2 = rhoi2 + zi*zi ; << 1654 radi2 = rhoi2 + zi*zi ;
1427 1655
1428 if ( (radi2 <= tolORMax2) << 1656 if ( (radi2 <= tolORMax2)
1429 && (radi2 >= tolORMin2) << 1657 && (radi2 >= tolORMin2)
1430 && (zi*(fSTheta - halfpi) <= 0) << 1658 && (zi*(fSTheta - halfpi) <= 0) )
>> 1659 {
>> 1660 if ( segPhi && rhoi2 ) // Check phi intersection
1431 { 1661 {
1432 if ( !fFullPhiSphere && (rhoi2 << 1662 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
1433 { << 1663 if ( cosPsi >= cosHDPhiOT )
1434 cosPsi = (xi*cosCPhi + yi*sin <<
1435 if ( cosPsi >= cosHDPhiOT ) <<
1436 { <<
1437 snxt = sd; <<
1438 } <<
1439 } <<
1440 else <<
1441 { 1664 {
1442 snxt = sd; << 1665 snxt = s ;
1443 } 1666 }
1444 } 1667 }
>> 1668 else
>> 1669 {
>> 1670 snxt = s ;
>> 1671 }
1445 } 1672 }
1446 } 1673 }
1447 } 1674 }
1448 } << 1675 }
1449 else if ((pTheta > tolETheta-kAngToleranc << 1676 else if ( (pTheta > tolETheta - kAngTolerance)
>> 1677 && ((fSTheta + fDTheta) < pi-kAngTolerance) )
1450 { 1678 {
1451 1679
1452 // In tolerance of etheta 1680 // In tolerance of etheta
1453 // If entering through solid [r,phi] => 1681 // If entering through solid [r,phi] => 0 to in
1454 // else try 2nd root 1682 // else try 2nd root
1455 1683
1456 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; 1684 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ;
1457 1685
1458 if ( ((t2<0) && (eTheta < halfpi) << 1686 if (
1459 && (tolIRMin2 < rad2) && (rad2 < to << 1687 (t2<0 && (fSTheta+fDTheta) <pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2)
1460 || ((t2>=0) && (eTheta > halfpi) << 1688 || (t2>=0 && (fSTheta+fDTheta) >pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2)
1461 && (tolIRMin2 < rad2) && (rad2 < to << 1689 || (v.z()>0 && (fSTheta+fDTheta)==pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2)
1462 || ((v.z()>0) && (eTheta == halfpi) << 1690 )
1463 && (tolIRMin2 < rad2) && (rad2 < to <<
1464 { 1691 {
1465 if (!fFullPhiSphere && (rho2 != 0.0)) << 1692 if (segPhi && rho2) // Check phi intersection
1466 { 1693 {
1467 cosPsi = (p.x()*cosCPhi + p.y()*sin 1694 cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ;
1468 if (cosPsi >= cosHDPhiIT) 1695 if (cosPsi >= cosHDPhiIT)
1469 { 1696 {
1470 return 0 ; 1697 return 0 ;
1471 } 1698 }
1472 } 1699 }
1473 else 1700 else
1474 { 1701 {
1475 return 0 ; 1702 return 0 ;
1476 } 1703 }
1477 } 1704 }
1478 1705
1479 // Not entering immediately/travelling 1706 // Not entering immediately/travelling through
1480 1707
1481 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; 1708 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ;
1482 if (t1 != 0.0) << 1709 b = t2/t1 ;
1483 { << 1710 c = dist2ETheta/t1 ;
1484 b = t2/t1 ; << 1711 d2 = b*b - c ;
1485 c = dist2ETheta/t1 ; <<
1486 d2 = b*b - c ; <<
1487 1712
1488 if (d2 >= 0) << 1713 if (d2 >= 0)
1489 { << 1714 {
1490 d = std::sqrt(d2) ; << 1715 d = std::sqrt(d2) ;
1491 sd = -b + d ; << 1716 s = -b + d ;
>> 1717
>> 1718 if ( (s >= kCarTolerance*0.5)
>> 1719 && (s < snxt) && ((fSTheta + fDTheta) > pi*0.5) )
>> 1720 {
>> 1721 xi = p.x() + s*v.x() ;
>> 1722 yi = p.y() + s*v.y() ;
>> 1723 zi = p.z() + s*v.z() ;
>> 1724 rhoi2 = xi*xi + yi*yi ;
>> 1725 radi2 = rhoi2 + zi*zi ;
1492 1726
1493 if ( (sd >= halfCarTolerance) << 1727 if ( (radi2 <= tolORMax2)
1494 && (sd < snxt) && (eTheta > halfp << 1728 && (radi2 >= tolORMin2)
>> 1729 && (zi*(fSTheta + fDTheta - halfpi) <= 0) )
1495 { 1730 {
1496 xi = p.x() + sd*v.x() ; << 1731 if (segPhi && rhoi2) // Check phi intersection
1497 yi = p.y() + sd*v.y() ; <<
1498 zi = p.z() + sd*v.z() ; <<
1499 rhoi2 = xi*xi + yi*yi ; <<
1500 radi2 = rhoi2 + zi*zi ; <<
1501 <<
1502 if ( (radi2 <= tolORMax2) <<
1503 && (radi2 >= tolORMin2) <<
1504 && (zi*(eTheta - halfpi) <= 0) <<
1505 { 1732 {
1506 if (!fFullPhiSphere && (rhoi2 ! << 1733 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
>> 1734 if (cosPsi>=cosHDPhiOT)
1507 { 1735 {
1508 cosPsi = (xi*cosCPhi + yi*sin << 1736 snxt = s ;
1509 if (cosPsi >= cosHDPhiOT) <<
1510 { <<
1511 snxt = sd; <<
1512 } <<
1513 } <<
1514 else <<
1515 { <<
1516 snxt = sd; <<
1517 } 1737 }
1518 } 1738 }
>> 1739 else
>> 1740 {
>> 1741 snxt = s ;
>> 1742 }
1519 } 1743 }
1520 } 1744 }
1521 } << 1745 }
1522 } << 1746 }
1523 else 1747 else
1524 { 1748 {
1525 // stheta+tol<theta<etheta-tol 1749 // stheta+tol<theta<etheta-tol
1526 // For BOTH stheta & etheta check 2nd r 1750 // For BOTH stheta & etheta check 2nd root for validity [r,phi]
1527 1751
1528 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; 1752 t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ;
1529 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; 1753 t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ;
1530 if (t1 != 0.0) << 1754
>> 1755 b = t2/t1;
>> 1756 c = dist2STheta/t1 ;
>> 1757 d2 = b*b - c ;
>> 1758
>> 1759 if (d2 >= 0)
1531 { 1760 {
1532 b = t2/t1; << 1761 d = std::sqrt(d2) ;
1533 c = dist2STheta/t1 ; << 1762 s = -b + d ; // second root
1534 d2 = b*b - c ; <<
1535 1763
1536 if (d2 >= 0) << 1764 if (s >= 0 && s < snxt)
1537 { 1765 {
1538 d = std::sqrt(d2) ; << 1766 xi = p.x() + s*v.x() ;
1539 sd = -b + d ; // second root << 1767 yi = p.y() + s*v.y() ;
>> 1768 zi = p.z() + s*v.z() ;
>> 1769 rhoi2 = xi*xi + yi*yi ;
>> 1770 radi2 = rhoi2 + zi*zi ;
1540 1771
1541 if ((sd >= 0) && (sd < snxt)) << 1772 if ( (radi2 <= tolORMax2)
>> 1773 && (radi2 >= tolORMin2)
>> 1774 && (zi*(fSTheta - halfpi) <= 0) )
1542 { 1775 {
1543 xi = p.x() + sd*v.x() ; << 1776 if (segPhi && rhoi2) // Check phi intersection
1544 yi = p.y() + sd*v.y() ; <<
1545 zi = p.z() + sd*v.z() ; <<
1546 rhoi2 = xi*xi + yi*yi ; <<
1547 radi2 = rhoi2 + zi*zi ; <<
1548 <<
1549 if ( (radi2 <= tolORMax2) <<
1550 && (radi2 >= tolORMin2) <<
1551 && (zi*(fSTheta - halfpi) <= 0) <<
1552 { 1777 {
1553 if (!fFullPhiSphere && (rhoi2 ! << 1778 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
>> 1779 if (cosPsi >= cosHDPhiOT)
1554 { 1780 {
1555 cosPsi = (xi*cosCPhi + yi*sin << 1781 snxt = s ;
1556 if (cosPsi >= cosHDPhiOT) <<
1557 { <<
1558 snxt = sd; <<
1559 } <<
1560 } <<
1561 else <<
1562 { <<
1563 snxt = sd; <<
1564 } 1782 }
1565 } 1783 }
>> 1784 else
>> 1785 {
>> 1786 snxt = s ;
>> 1787 }
1566 } 1788 }
1567 } 1789 }
1568 } << 1790 }
1569 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; 1791 t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ;
1570 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; 1792 t2 = pDotV2d - p.z()*v.z()*tanETheta2 ;
1571 if (t1 != 0.0) << 1793
>> 1794 b = t2/t1 ;
>> 1795 c = dist2ETheta/t1 ;
>> 1796 d2 = b*b - c ;
>> 1797
>> 1798 if (d2 >= 0)
1572 { 1799 {
1573 b = t2/t1 ; << 1800 d = std::sqrt(d2) ;
1574 c = dist2ETheta/t1 ; << 1801 s = -b + d; // second root
1575 d2 = b*b - c ; <<
1576 1802
1577 if (d2 >= 0) << 1803 if (s >= 0 && s < snxt)
1578 { 1804 {
1579 d = std::sqrt(d2) ; << 1805 xi = p.x() + s*v.x() ;
1580 sd = -b + d; // second root << 1806 yi = p.y() + s*v.y() ;
>> 1807 zi = p.z() + s*v.z() ;
>> 1808 rhoi2 = xi*xi + yi*yi ;
>> 1809 radi2 = rhoi2 + zi*zi ;
1581 1810
1582 if ((sd >= 0) && (sd < snxt)) << 1811 if ( (radi2 <= tolORMax2)
>> 1812 && (radi2 >= tolORMin2)
>> 1813 && (zi*(fSTheta + fDTheta - halfpi) <= 0) )
1583 { 1814 {
1584 xi = p.x() + sd*v.x() ; << 1815 if (segPhi && rhoi2) // Check phi intersection
1585 yi = p.y() + sd*v.y() ; <<
1586 zi = p.z() + sd*v.z() ; <<
1587 rhoi2 = xi*xi + yi*yi ; <<
1588 radi2 = rhoi2 + zi*zi ; <<
1589 <<
1590 if ( (radi2 <= tolORMax2) <<
1591 && (radi2 >= tolORMin2) <<
1592 && (zi*(eTheta - halfpi) <= 0) <<
1593 { 1816 {
1594 if (!fFullPhiSphere && (rhoi2 ! << 1817 cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
>> 1818 if ( cosPsi >= cosHDPhiOT )
1595 { 1819 {
1596 cosPsi = (xi*cosCPhi + yi*sin << 1820 snxt=s;
1597 if ( cosPsi >= cosHDPhiOT ) <<
1598 { <<
1599 snxt = sd; <<
1600 } <<
1601 } <<
1602 else <<
1603 { <<
1604 snxt = sd; <<
1605 } 1821 }
1606 } 1822 }
>> 1823 else
>> 1824 {
>> 1825 snxt = s ;
>> 1826 }
1607 } 1827 }
1608 } 1828 }
1609 } 1829 }
1610 } << 1830 }
1611 } 1831 }
1612 return snxt; 1832 return snxt;
1613 } 1833 }
1614 1834
1615 ///////////////////////////////////////////// 1835 //////////////////////////////////////////////////////////////////////
1616 // 1836 //
1617 // Calculate distance (<= actual) to closest 1837 // Calculate distance (<= actual) to closest surface of shape from outside
1618 // - Calculate distance to radial planes 1838 // - Calculate distance to radial planes
1619 // - Only to phi planes if outside phi extent 1839 // - Only to phi planes if outside phi extent
1620 // - Only to theta planes if outside theta ex 1840 // - Only to theta planes if outside theta extent
1621 // - Return 0 if point inside 1841 // - Return 0 if point inside
1622 1842
1623 G4double G4Sphere::DistanceToIn( const G4Thre 1843 G4double G4Sphere::DistanceToIn( const G4ThreeVector& p ) const
1624 { 1844 {
1625 G4double safe=0.0,safeRMin,safeRMax,safePhi 1845 G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta;
1626 G4double rho2,rds,rho; << 1846 G4double rho2,rad,rho;
1627 G4double cosPsi; << 1847 G4double phiC,cosPhiC,sinPhiC,cosPsi,ePhi;
1628 G4double pTheta,dTheta1,dTheta2; 1848 G4double pTheta,dTheta1,dTheta2;
1629 rho2=p.x()*p.x()+p.y()*p.y(); 1849 rho2=p.x()*p.x()+p.y()*p.y();
1630 rds=std::sqrt(rho2+p.z()*p.z()); << 1850 rad=std::sqrt(rho2+p.z()*p.z());
1631 rho=std::sqrt(rho2); 1851 rho=std::sqrt(rho2);
1632 1852
1633 // 1853 //
1634 // Distance to r shells 1854 // Distance to r shells
1635 // << 1855 //
1636 if (fRmin != 0.0) << 1856 if (fRmin)
1637 { 1857 {
1638 safeRMin=fRmin-rds; << 1858 safeRMin=fRmin-rad;
1639 safeRMax=rds-fRmax; << 1859 safeRMax=rad-fRmax;
1640 if (safeRMin>safeRMax) 1860 if (safeRMin>safeRMax)
1641 { 1861 {
1642 safe=safeRMin; 1862 safe=safeRMin;
1643 } 1863 }
1644 else 1864 else
1645 { 1865 {
1646 safe=safeRMax; 1866 safe=safeRMax;
1647 } 1867 }
1648 } 1868 }
1649 else 1869 else
1650 { 1870 {
1651 safe=rds-fRmax; << 1871 safe=rad-fRmax;
1652 } 1872 }
1653 1873
1654 // 1874 //
1655 // Distance to phi extent 1875 // Distance to phi extent
1656 // 1876 //
1657 if (!fFullPhiSphere && (rho != 0.0)) << 1877 if (fDPhi<twopi&&rho)
1658 { 1878 {
>> 1879 phiC=fSPhi+fDPhi*0.5;
>> 1880 cosPhiC=std::cos(phiC);
>> 1881 sinPhiC=std::sin(phiC);
>> 1882
1659 // Psi=angle from central phi to point 1883 // Psi=angle from central phi to point
1660 // 1884 //
1661 cosPsi=(p.x()*cosCPhi+p.y()*sinCPhi)/rho; << 1885 cosPsi=(p.x()*cosPhiC+p.y()*sinPhiC)/rho;
1662 if (cosPsi<cosHDPhi) << 1886 if (cosPsi<std::cos(fDPhi*0.5))
1663 { 1887 {
1664 // Point lies outside phi range 1888 // Point lies outside phi range
1665 // 1889 //
1666 if ((p.y()*cosCPhi-p.x()*sinCPhi)<=0) << 1890 if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0)
1667 { 1891 {
1668 safePhi=std::fabs(p.x()*sinSPhi-p.y() << 1892 safePhi=std::fabs(p.x()*std::sin(fSPhi)-p.y()*std::cos(fSPhi));
1669 } 1893 }
1670 else 1894 else
1671 { 1895 {
1672 safePhi=std::fabs(p.x()*sinEPhi-p.y() << 1896 ePhi=fSPhi+fDPhi;
>> 1897 safePhi=std::fabs(p.x()*std::sin(ePhi)-p.y()*std::cos(ePhi));
1673 } 1898 }
1674 if (safePhi>safe) { safe=safePhi; } << 1899 if (safePhi>safe) safe=safePhi;
1675 } 1900 }
1676 } 1901 }
1677 // 1902 //
1678 // Distance to Theta extent 1903 // Distance to Theta extent
1679 // << 1904 //
1680 if ((rds!=0.0) && (!fFullThetaSphere)) << 1905 if ((rad!=0.0) && (fDTheta<pi))
1681 { 1906 {
1682 pTheta=std::acos(p.z()/rds); << 1907 pTheta=std::acos(p.z()/rad);
1683 if (pTheta<0) { pTheta+=pi; } << 1908 if (pTheta<0) pTheta+=pi;
1684 dTheta1=fSTheta-pTheta; 1909 dTheta1=fSTheta-pTheta;
1685 dTheta2=pTheta-eTheta; << 1910 dTheta2=pTheta-(fSTheta+fDTheta);
1686 if (dTheta1>dTheta2) 1911 if (dTheta1>dTheta2)
1687 { 1912 {
1688 if (dTheta1>=0) // WHY ???? 1913 if (dTheta1>=0) // WHY ???????????
1689 { 1914 {
1690 safeTheta=rds*std::sin(dTheta1); << 1915 safeTheta=rad*std::sin(dTheta1);
1691 if (safe<=safeTheta) 1916 if (safe<=safeTheta)
1692 { 1917 {
1693 safe=safeTheta; 1918 safe=safeTheta;
1694 } 1919 }
1695 } 1920 }
1696 } 1921 }
1697 else 1922 else
1698 { 1923 {
1699 if (dTheta2>=0) 1924 if (dTheta2>=0)
1700 { 1925 {
1701 safeTheta=rds*std::sin(dTheta2); << 1926 safeTheta=rad*std::sin(dTheta2);
1702 if (safe<=safeTheta) 1927 if (safe<=safeTheta)
1703 { 1928 {
1704 safe=safeTheta; 1929 safe=safeTheta;
1705 } 1930 }
1706 } 1931 }
1707 } 1932 }
1708 } 1933 }
1709 1934
1710 if (safe<0) { safe=0; } << 1935 if (safe<0) safe=0;
1711 return safe; 1936 return safe;
1712 } 1937 }
1713 1938
1714 ///////////////////////////////////////////// 1939 /////////////////////////////////////////////////////////////////////
1715 // 1940 //
1716 // Calculate distance to surface of shape fro << 1941 // Calculate distance to surface of shape from `inside', allowing for tolerance
1717 // - Only Calc rmax intersection if no valid 1942 // - Only Calc rmax intersection if no valid rmin intersection
1718 1943
1719 G4double G4Sphere::DistanceToOut( const G4Thr 1944 G4double G4Sphere::DistanceToOut( const G4ThreeVector& p,
1720 const G4Thr 1945 const G4ThreeVector& v,
1721 const G4boo 1946 const G4bool calcNorm,
1722 G4boo << 1947 G4bool *validNorm,
1723 G4Thr << 1948 G4ThreeVector *n ) const
1724 { 1949 {
1725 G4double snxt = kInfinity; // snxt is d 1950 G4double snxt = kInfinity; // snxt is default return value
1726 G4double sphi= kInfinity,stheta= kInfinity; 1951 G4double sphi= kInfinity,stheta= kInfinity;
1727 ESide side=kNull,sidephi=kNull,sidetheta=kN << 1952 ESide side=kNull,sidephi=kNull,sidetheta=kNull;
1728 1953
1729 const G4double halfRmaxTolerance = fRmaxTol <<
1730 const G4double halfRminTolerance = fRminTol <<
1731 const G4double Rmax_plus = fRmax + halfRma <<
1732 const G4double Rmin_minus = (fRmin) != 0.0 <<
1733 G4double t1,t2; 1954 G4double t1,t2;
1734 G4double b,c,d; 1955 G4double b,c,d;
1735 1956
1736 // Variables for phi intersection: 1957 // Variables for phi intersection:
1737 1958
>> 1959 G4double sinSPhi,cosSPhi,ePhi,sinEPhi,cosEPhi;
>> 1960 G4double cPhi,sinCPhi,cosCPhi;
1738 G4double pDistS,compS,pDistE,compE,sphi2,vp 1961 G4double pDistS,compS,pDistE,compE,sphi2,vphi;
>> 1962
>> 1963 G4double rho2,rad2,pDotV2d,pDotV3d,pTheta;
1739 1964
1740 G4double rho2,rad2,pDotV2d,pDotV3d; << 1965 G4double tolSTheta=0.,tolETheta=0.;
1741 <<
1742 G4double xi,yi,zi; // Intersection poi 1966 G4double xi,yi,zi; // Intersection point
1743 1967
1744 // Theta precals << 1968 // G4double Comp; // Phi intersection
1745 // << 1969
1746 G4double rhoSecTheta; << 1970 G4bool segPhi; // Phi flag and precalcs
>> 1971 G4double hDPhi,hDPhiOT,hDPhiIT;
>> 1972 G4double cosHDPhiOT,cosHDPhiIT;
>> 1973
>> 1974 G4bool segTheta; // Theta flag and precals
>> 1975 G4double tanSTheta=0.,tanETheta=0., rhoSecTheta;
>> 1976 G4double tanSTheta2=0.,tanETheta2=0.;
1747 G4double dist2STheta, dist2ETheta, distThet 1977 G4double dist2STheta, dist2ETheta, distTheta;
1748 G4double d2,sd; << 1978 G4double d2,s;
1749 1979
1750 // General Precalcs 1980 // General Precalcs
1751 // << 1981
1752 rho2 = p.x()*p.x()+p.y()*p.y(); 1982 rho2 = p.x()*p.x()+p.y()*p.y();
1753 rad2 = rho2+p.z()*p.z(); 1983 rad2 = rho2+p.z()*p.z();
>> 1984 // G4double rad=std::sqrt(rad2);
>> 1985
>> 1986 pTheta = std::atan2(std::sqrt(rho2),p.z());
1754 1987
1755 pDotV2d = p.x()*v.x()+p.y()*v.y(); 1988 pDotV2d = p.x()*v.x()+p.y()*v.y();
1756 pDotV3d = pDotV2d+p.z()*v.z(); 1989 pDotV3d = pDotV2d+p.z()*v.z();
1757 1990
>> 1991 // Set phi divided flag and precalcs
>> 1992
>> 1993 if( fDPhi < twopi )
>> 1994 {
>> 1995 segPhi=true;
>> 1996 hDPhi=0.5*fDPhi; // half delta phi
>> 1997 cPhi=fSPhi+hDPhi;;
>> 1998 hDPhiOT=hDPhi+0.5*kAngTolerance; // Outer Tolerant half delta phi
>> 1999 hDPhiIT=hDPhi-0.5*kAngTolerance;
>> 2000 sinCPhi=std::sin(cPhi);
>> 2001 cosCPhi=std::cos(cPhi);
>> 2002 cosHDPhiOT=std::cos(hDPhiOT);
>> 2003 cosHDPhiIT=std::cos(hDPhiIT);
>> 2004 }
>> 2005 else
>> 2006 {
>> 2007 segPhi=false;
>> 2008 }
>> 2009
>> 2010 // Theta precalcs
>> 2011
>> 2012 if ( fDTheta < pi )
>> 2013 {
>> 2014 segTheta = true;
>> 2015 tolSTheta = fSTheta - kAngTolerance*0.5;
>> 2016 tolETheta = fSTheta + fDTheta + kAngTolerance*0.5;
>> 2017 }
>> 2018 else segTheta = false;
>> 2019
>> 2020
1758 // Radial Intersections from G4Sphere::Dist 2021 // Radial Intersections from G4Sphere::DistanceToIn
1759 // 2022 //
1760 // Outer spherical shell intersection 2023 // Outer spherical shell intersection
1761 // - Only if outside tolerant fRmax 2024 // - Only if outside tolerant fRmax
1762 // - Check for if inside and outer G4Sphere 2025 // - Check for if inside and outer G4Sphere heading through solid (-> 0)
1763 // - No intersect -> no intersection with G 2026 // - No intersect -> no intersection with G4Sphere
1764 // 2027 //
1765 // Shell eqn: x^2+y^2+z^2=RSPH^2 2028 // Shell eqn: x^2+y^2+z^2=RSPH^2
1766 // 2029 //
1767 // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 2030 // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2
1768 // 2031 //
1769 // => (px^2+py^2+pz^2) +2sd(pxvx+pyvy+pzvz) << 2032 // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2
1770 // => rad2 +2sd(pDotV3d) << 2033 // => rad2 +2s(pDotV3d) +s^2 =R^2
>> 2034 //
>> 2035 // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2))
1771 // 2036 //
1772 // => sd=-pDotV3d+-std::sqrt(pDotV3d^2-(rad << 2037 // const G4double fractionTolerance = 1.0e-12;
>> 2038
>> 2039 const G4double flexRadMaxTolerance = // kRadTolerance;
>> 2040 std::max(kRadTolerance, fEpsilon * fRmax);
>> 2041
>> 2042 const G4double Rmax_plus = fRmax + flexRadMaxTolerance*0.5;
>> 2043
>> 2044 const G4double flexRadMinTolerance = std::max(kRadTolerance,
>> 2045 fEpsilon * fRmin);
>> 2046
>> 2047 const G4double Rmin_minus= (fRmin > 0) ? fRmin-flexRadMinTolerance*0.5 : 0 ;
1773 2048
1774 if( (rad2 <= Rmax_plus*Rmax_plus) && (rad2 << 2049 if(rad2 <= Rmax_plus*Rmax_plus && rad2 >= Rmin_minus*Rmin_minus)
>> 2050 // if(rad <= Rmax_plus && rad >= Rmin_minus)
1775 { 2051 {
1776 c = rad2 - fRmax*fRmax; 2052 c = rad2 - fRmax*fRmax;
1777 2053
1778 if (c < fRmaxTolerance*fRmax) << 2054 if (c < flexRadMaxTolerance*fRmax)
1779 { 2055 {
1780 // Within tolerant Outer radius << 2056 // Within tolerant Outer radius
1781 // << 2057 //
1782 // The test is 2058 // The test is
1783 // rad - fRmax < 0.5*kRadTolerance 2059 // rad - fRmax < 0.5*kRadTolerance
1784 // => rad < fRmax + 0.5*kRadTol 2060 // => rad < fRmax + 0.5*kRadTol
1785 // => rad2 < (fRmax + 0.5*kRadTol)^2 2061 // => rad2 < (fRmax + 0.5*kRadTol)^2
1786 // => rad2 < fRmax^2 + 2.*0.5*fRmax*kR 2062 // => rad2 < fRmax^2 + 2.*0.5*fRmax*kRadTol + 0.25*kRadTol*kRadTol
1787 // => rad2 - fRmax^2 <~ fRmax*kR << 2063 // => rad2 - fRmax^2 <~ fRmax*kRadTol
1788 2064
1789 d2 = pDotV3d*pDotV3d - c; 2065 d2 = pDotV3d*pDotV3d - c;
1790 2066
1791 if( (c >- fRmaxTolerance*fRmax) / << 2067 if( (c >- flexRadMaxTolerance*fRmax) // on tolerant surface
1792 && ((pDotV3d >=0) || (d2 < 0)) ) / << 2068 && ((pDotV3d >=0) || (d2 < 0)) ) // leaving outside from Rmax
1793 / << 2069 // not re-entering
1794 { 2070 {
1795 if(calcNorm) 2071 if(calcNorm)
1796 { 2072 {
1797 *validNorm = true ; 2073 *validNorm = true ;
1798 *n = G4ThreeVector(p.x()/fR 2074 *n = G4ThreeVector(p.x()/fRmax,p.y()/fRmax,p.z()/fRmax) ;
1799 } 2075 }
1800 return snxt = 0; 2076 return snxt = 0;
1801 } 2077 }
1802 else << 2078 else
1803 { 2079 {
1804 snxt = -pDotV3d+std::sqrt(d2); // 2080 snxt = -pDotV3d+std::sqrt(d2); // second root since inside Rmax
1805 side = kRMax ; << 2081 side = kRMax ;
1806 } 2082 }
1807 } 2083 }
1808 2084
1809 // Inner spherical shell intersection: 2085 // Inner spherical shell intersection:
1810 // Always first >=0 root, because would h 2086 // Always first >=0 root, because would have passed
1811 // from outside of Rmin surface . 2087 // from outside of Rmin surface .
1812 2088
1813 if (fRmin != 0.0) << 2089 if (fRmin)
1814 { 2090 {
1815 c = rad2 - fRmin*fRmin; 2091 c = rad2 - fRmin*fRmin;
1816 d2 = pDotV3d*pDotV3d - c; 2092 d2 = pDotV3d*pDotV3d - c;
1817 2093
1818 if (c >- fRminTolerance*fRmin) // 2.0 * << 2094 if ( c >- flexRadMinTolerance*fRmin ) // 2.0 * (0.5*kRadTolerance) * fRmin
1819 { 2095 {
1820 if ( (c < fRminTolerance*fRmin) << 2096 if( c < flexRadMinTolerance*fRmin &&
1821 && (d2 >= fRminTolerance*fRmin) && << 2097 d2 >= flexRadMinTolerance*fRmin && pDotV3d < 0 ) // leaving from Rmin
1822 { 2098 {
1823 if(calcNorm) { *validNorm = false; << 2099 if(calcNorm) *validNorm = false ; // Rmin surface is concave
1824 return snxt = 0 ; << 2100 return snxt = 0 ;
1825 } 2101 }
1826 else 2102 else
1827 { << 2103 {
1828 if ( d2 >= 0. ) 2104 if ( d2 >= 0. )
1829 { 2105 {
1830 sd = -pDotV3d-std::sqrt(d2); << 2106 s = -pDotV3d-std::sqrt(d2);
1831 2107
1832 if ( sd >= 0. ) // Always int << 2108 if ( s >= 0. ) // Always intersect Rmin first
1833 { 2109 {
1834 snxt = sd ; << 2110 snxt = s ;
1835 side = kRMin ; 2111 side = kRMin ;
1836 } 2112 }
1837 } 2113 }
1838 } 2114 }
1839 } 2115 }
1840 } 2116 }
1841 } 2117 }
1842 2118
1843 // Theta segment intersection 2119 // Theta segment intersection
1844 2120
1845 if ( !fFullThetaSphere ) << 2121 if (segTheta)
1846 { 2122 {
1847 // Intersection with theta surfaces 2123 // Intersection with theta surfaces
1848 // 2124 //
1849 // Known failure cases: 2125 // Known failure cases:
1850 // o Inside tolerance of stheta surface, 2126 // o Inside tolerance of stheta surface, skim
1851 // ~parallel to cone and Hit & enter e 2127 // ~parallel to cone and Hit & enter etheta surface [& visa versa]
1852 // 2128 //
1853 // To solve: Check 2nd root of etheta 2129 // To solve: Check 2nd root of etheta surface in addition to stheta
1854 // 2130 //
1855 // o start/end theta is exactly pi/2 << 2131 // o start/end theta is exactly pi/2
1856 // 2132 //
1857 // Intersections with cones 2133 // Intersections with cones
1858 // 2134 //
1859 // Cone equation: x^2+y^2=z^2tan^2(t) 2135 // Cone equation: x^2+y^2=z^2tan^2(t)
1860 // 2136 //
1861 // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan 2137 // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t)
1862 // 2138 //
1863 // => (px^2+py^2-pz^2tan^2(t))+2sd(pxvx+p << 2139 // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t))
1864 // + sd^2(vx^2+vy^2-vz^2tan^2(t)) = << 2140 // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0
1865 // 2141 //
1866 // => sd^2(1-vz^2(1+tan^2(t))+2sd(pdotv2d << 2142 // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0
1867 // + (rho2-pz^2tan^2(t)) = 0 <<
1868 // 2143 //
>> 2144
>> 2145 /* ////////////////////////////////////////////////////////
>> 2146
>> 2147 tanSTheta=std::tan(fSTheta);
>> 2148 tanSTheta2=tanSTheta*tanSTheta;
>> 2149 tanETheta=std::tan(fSTheta+fDTheta);
>> 2150 tanETheta2=tanETheta*tanETheta;
>> 2151
>> 2152 if (fSTheta)
>> 2153 {
>> 2154 dist2STheta=rho2-p.z()*p.z()*tanSTheta2;
>> 2155 }
>> 2156 else
>> 2157 {
>> 2158 dist2STheta = kInfinity;
>> 2159 }
>> 2160 if (fSTheta + fDTheta < pi)
>> 2161 {
>> 2162 dist2ETheta = rho2-p.z()*p.z()*tanETheta2;
>> 2163 }
>> 2164 else
>> 2165 {
>> 2166 dist2ETheta = kInfinity ;
>> 2167 }
>> 2168 if (pTheta > tolSTheta && pTheta < tolETheta) // Inside theta
>> 2169 {
>> 2170 // In tolerance of STheta and possible leaving out to small thetas N-
>> 2171
>> 2172 if(pTheta < tolSTheta + kAngTolerance && fSTheta > kAngTolerance)
>> 2173 {
>> 2174 t2=pDotV2d-p.z()*v.z()*tanSTheta2 ; // =(VdotN+)*rhoSecSTheta
>> 2175
>> 2176 if( fSTheta < pi*0.5 && t2 < 0)
>> 2177 {
>> 2178 if(calcNorm) *validNorm = false ;
>> 2179 return snxt = 0 ;
>> 2180 }
>> 2181 else if(fSTheta > pi*0.5 && t2 >= 0)
>> 2182 {
>> 2183 if(calcNorm)
>> 2184 {
>> 2185 rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)) ;
>> 2186 *validNorm = true ;
>> 2187 *n = G4ThreeVector(-p.x()/rhoSecTheta, // N-
>> 2188 -p.y()/rhoSecTheta,
>> 2189 tanSTheta/std::sqrt(1+tanSTheta2) ) ;
>> 2190 }
>> 2191 return snxt = 0 ;
>> 2192 }
>> 2193 else if( fSTheta == pi*0.5 && v.z() > 0)
>> 2194 {
>> 2195 if(calcNorm)
>> 2196 {
>> 2197 *validNorm = true ;
>> 2198 *n = G4ThreeVector(0,0,1) ;
>> 2199 }
>> 2200 return snxt = 0 ;
>> 2201 }
>> 2202 }
>> 2203
>> 2204 // In tolerance of ETheta and possible leaving out to larger thetas N+
>> 2205
>> 2206 if ( (pTheta > tolETheta - kAngTolerance)
>> 2207 && (( fSTheta + fDTheta) < pi - kAngTolerance) )
>> 2208 {
>> 2209 t2=pDotV2d-p.z()*v.z()*tanETheta2 ;
>> 2210 if((fSTheta+fDTheta)>pi*0.5 && t2<0)
>> 2211 {
>> 2212 if(calcNorm) *validNorm = false ;
>> 2213 return snxt = 0 ;
>> 2214 }
>> 2215 else if( (fSTheta+fDTheta) < pi*0.5 && t2 >= 0 )
>> 2216 {
>> 2217 if(calcNorm)
>> 2218 {
>> 2219 rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)) ;
>> 2220 *validNorm = true ;
>> 2221 *n = G4ThreeVector( p.x()/rhoSecTheta, // N+
>> 2222 p.y()/rhoSecTheta,
>> 2223 -tanETheta/std::sqrt(1+tanETheta2) ) ;
>> 2224 }
>> 2225 return snxt = 0 ;
>> 2226 }
>> 2227 else if( ( fSTheta+fDTheta) == pi*0.5 && v.z() < 0 )
>> 2228 {
>> 2229 if(calcNorm)
>> 2230 {
>> 2231 *validNorm = true ;
>> 2232 *n = G4ThreeVector(0,0,-1) ;
>> 2233 }
>> 2234 return snxt = 0 ;
>> 2235 }
>> 2236 }
>> 2237 if( fSTheta > 0 )
>> 2238 {
>> 2239 // First root of fSTheta cone, second if first root -ve
>> 2240
>> 2241 t1 = 1-v.z()*v.z()*(1+tanSTheta2);
>> 2242 t2 = pDotV2d-p.z()*v.z()*tanSTheta2;
>> 2243
>> 2244 b = t2/t1;
>> 2245 c = dist2STheta/t1;
>> 2246 d2 = b*b - c ;
>> 2247
>> 2248 if ( d2 >= 0 )
>> 2249 {
>> 2250 d = std::sqrt(d2) ;
>> 2251 s = -b - d ; // First root
>> 2252
>> 2253 if ( s < 0 )
>> 2254 {
>> 2255 s = -b + d ; // Second root
>> 2256 }
>> 2257 if (s > flexRadMaxTolerance*0.5 ) // && s<sr)
>> 2258 {
>> 2259 // check against double cone solution
>> 2260 zi=p.z()+s*v.z();
>> 2261 if (fSTheta<pi*0.5 && zi<0)
>> 2262 {
>> 2263 s = kInfinity ; // wrong cone
>> 2264 }
>> 2265 if (fSTheta>pi*0.5 && zi>0)
>> 2266 {
>> 2267 s = kInfinity ; // wrong cone
>> 2268 }
>> 2269 stheta = s ;
>> 2270 sidetheta = kSTheta ;
>> 2271 }
>> 2272 }
>> 2273 }
>> 2274
>> 2275 // Possible intersection with ETheta cone
>> 2276
>> 2277 if (fSTheta + fDTheta < pi)
>> 2278 {
>> 2279 t1 = 1-v.z()*v.z()*(1+tanETheta2);
>> 2280 t2 = pDotV2d-p.z()*v.z()*tanETheta2;
>> 2281 b = t2/t1;
>> 2282 c = dist2ETheta/t1;
>> 2283 d2 = b*b-c ;
>> 2284
>> 2285 if ( d2 >= 0 )
>> 2286 {
>> 2287 d = std::sqrt(d2);
>> 2288 s = -b - d ; // First root
>> 2289
>> 2290 if ( s < 0 )
>> 2291 {
>> 2292 s=-b+d; // Second root
>> 2293 }
>> 2294 if (s > flexRadMaxTolerance*0.5 && s < stheta )
>> 2295 {
>> 2296 // check against double cone solution
>> 2297 zi=p.z()+s*v.z();
>> 2298 if (fSTheta+fDTheta<pi*0.5 && zi<0)
>> 2299 {
>> 2300 s = kInfinity ; // wrong cone
>> 2301 }
>> 2302 if (fSTheta+fDTheta>pi*0.5 && zi>0)
>> 2303 {
>> 2304 s = kInfinity ; // wrong cone
>> 2305 }
>> 2306 }
>> 2307 if (s < stheta)
>> 2308 {
>> 2309 stheta = s ;
>> 2310 sidetheta = kETheta ;
>> 2311 }
>> 2312 }
>> 2313 }
>> 2314 }
>> 2315 */ ////////////////////////////////////////////////////////////
1869 2316
1870 if(fSTheta != 0.0) // intersection with f << 2317 if(fSTheta) // intersection with first cons
1871 { 2318 {
>> 2319
>> 2320 tanSTheta = std::tan(fSTheta);
>> 2321
1872 if( std::fabs(tanSTheta) > 5./kAngToler 2322 if( std::fabs(tanSTheta) > 5./kAngTolerance ) // kons is plane z=0
1873 { 2323 {
1874 if( v.z() > 0. ) << 2324 if( v.z() > 0. )
1875 { 2325 {
1876 if ( std::fabs( p.z() ) <= halfRmax << 2326 if ( std::fabs( p.z() ) <= flexRadMaxTolerance*0.5 )
1877 { 2327 {
1878 if(calcNorm) 2328 if(calcNorm)
1879 { 2329 {
1880 *validNorm = true; 2330 *validNorm = true;
1881 *n = G4ThreeVector(0.,0.,1.); 2331 *n = G4ThreeVector(0.,0.,1.);
1882 } 2332 }
1883 return snxt = 0 ; 2333 return snxt = 0 ;
1884 } << 2334 }
>> 2335 // s = -p.z()/v.z();
1885 stheta = -p.z()/v.z(); 2336 stheta = -p.z()/v.z();
1886 sidetheta = kSTheta; 2337 sidetheta = kSTheta;
1887 } 2338 }
1888 } 2339 }
1889 else // kons is not plane << 2340 else // kons is not plane
1890 { 2341 {
>> 2342 tanSTheta2 = tanSTheta*tanSTheta;
1891 t1 = 1-v.z()*v.z()*(1+tanSTh 2343 t1 = 1-v.z()*v.z()*(1+tanSTheta2);
1892 t2 = pDotV2d-p.z()*v.z()*tan 2344 t2 = pDotV2d-p.z()*v.z()*tanSTheta2; // ~vDotN if p on cons
1893 dist2STheta = rho2-p.z()*p.z()*tanSTh << 2345 dist2STheta = rho2-p.z()*p.z()*tanSTheta2; // t3
1894 2346
>> 2347 // distTheta = std::sqrt(std::fabs(dist2STheta/(1+tanSTheta2)));
1895 distTheta = std::sqrt(rho2)-p.z()*tan 2348 distTheta = std::sqrt(rho2)-p.z()*tanSTheta;
1896 2349
1897 if( std::fabs(t1) < halfAngTolerance << 2350 if( std::fabs(t1) < 0.5*kAngTolerance ) // 1st order equation, v parallel to kons
1898 { << 2351 {
1899 if( v.z() > 0. ) 2352 if( v.z() > 0. )
1900 { 2353 {
1901 if(std::fabs(distTheta) < halfRma << 2354 if(std::fabs(distTheta) < flexRadMaxTolerance*0.5) // p on surface
1902 { 2355 {
1903 if( (fSTheta < halfpi) && (p.z( << 2356 if( fSTheta < halfpi && p.z() > 0. )
1904 { 2357 {
1905 if( calcNorm ) { *validNorm << 2358 if( calcNorm ) *validNorm = false;
1906 return snxt = 0.; << 2359 return snxt = 0.;
1907 } 2360 }
1908 else if( (fSTheta > halfpi) && << 2361 else if( fSTheta > halfpi && p.z() <= 0)
1909 { 2362 {
1910 if( calcNorm ) << 2363 if( calcNorm )
1911 { 2364 {
1912 *validNorm = true; 2365 *validNorm = true;
1913 if (rho2 != 0.0) << 2366 if (rho2)
1914 { 2367 {
1915 rhoSecTheta = std::sqrt(r 2368 rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2));
1916 << 2369
1917 *n = G4ThreeVector( p.x() << 2370 *n = G4ThreeVector( p.x()/rhoSecTheta,
1918 p.y() 2371 p.y()/rhoSecTheta,
1919 std:: 2372 std::sin(fSTheta) );
1920 } 2373 }
1921 else *n = G4ThreeVector(0., 2374 else *n = G4ThreeVector(0.,0.,1.);
1922 } 2375 }
1923 return snxt = 0.; << 2376 return snxt = 0.;
1924 } 2377 }
1925 } 2378 }
>> 2379 // s = -0.5*dist2STheta/t2;
>> 2380
1926 stheta = -0.5*dist2STheta/t2; 2381 stheta = -0.5*dist2STheta/t2;
1927 sidetheta = kSTheta; 2382 sidetheta = kSTheta;
1928 } << 2383 }
1929 } // 2nd order equation, 1st roo << 2384 }
1930 else // 2nd if 1st root -ve << 2385 else // 2nd order equation, 1st root of fSTheta cone, 2nd if 1st root -ve
1931 { 2386 {
1932 if( std::fabs(distTheta) < halfRmax << 2387 if( std::fabs(distTheta) < flexRadMaxTolerance*0.5) // && t2 >= 0.) surface
1933 { 2388 {
1934 if( (fSTheta > halfpi) && (t2 >= << 2389 if( fSTheta > halfpi && t2 >= 0. ) // leave
1935 { 2390 {
1936 if( calcNorm ) << 2391 if( calcNorm )
1937 { 2392 {
1938 *validNorm = true; 2393 *validNorm = true;
1939 if (rho2 != 0.0) << 2394 if (rho2)
1940 { 2395 {
1941 rhoSecTheta = std::sqrt(rho << 2396 rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2));
1942 << 2397
1943 *n = G4ThreeVector( p.x()/r << 2398 *n = G4ThreeVector( p.x()/rhoSecTheta,
1944 p.y()/r << 2399 p.y()/rhoSecTheta,
1945 std::si << 2400 std::sin(fSTheta) );
1946 } 2401 }
1947 else { *n = G4ThreeVector(0. << 2402 else *n = G4ThreeVector(0.,0.,1.);
1948 } << 2403 }
1949 return snxt = 0.; 2404 return snxt = 0.;
1950 } 2405 }
1951 else if( (fSTheta < halfpi) && (t << 2406 else if( fSTheta < halfpi && t2 < 0. && p.z() >=0. ) // leave
1952 { 2407 {
1953 if( calcNorm ) { *validNorm = << 2408 if( calcNorm ) *validNorm = false;
1954 return snxt = 0.; << 2409 return snxt = 0.;
1955 } << 2410 }
1956 } 2411 }
1957 b = t2/t1; 2412 b = t2/t1;
1958 c = dist2STheta/t1; 2413 c = dist2STheta/t1;
1959 d2 = b*b - c ; 2414 d2 = b*b - c ;
1960 2415
1961 if ( d2 >= 0. ) 2416 if ( d2 >= 0. )
1962 { 2417 {
1963 d = std::sqrt(d2); 2418 d = std::sqrt(d2);
1964 2419
1965 if( fSTheta > halfpi ) 2420 if( fSTheta > halfpi )
1966 { 2421 {
1967 sd = -b - d; // First r << 2422 s = -b - d; // First root
1968 2423
1969 if ( ((std::fabs(s) < halfRmaxT << 2424 if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 < 0.) ||
1970 || (sd < 0.) || ( (sd > 0.) << 2425 s < 0. ||
>> 2426 ( s > 0. && p.z() + s*v.z() > 0.) )
1971 { 2427 {
1972 sd = -b + d ; // 2nd root << 2428 s = -b + d ; // 2nd root
1973 } 2429 }
1974 if( (sd > halfRmaxTolerance) && << 2430 if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() <= 0.)
1975 { 2431 {
1976 stheta = sd; << 2432 stheta = s;
1977 sidetheta = kSTheta; 2433 sidetheta = kSTheta;
1978 } 2434 }
1979 } 2435 }
1980 else // sTheta < pi/2, concave su 2436 else // sTheta < pi/2, concave surface, no normal
1981 { 2437 {
1982 sd = -b - d; // First r << 2438 s = -b - d; // First root
1983 2439
1984 if ( ( (std::fabs(sd) < halfRma << 2440 if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 >= 0.) ||
1985 || (sd < 0.) || ( (sd > 0.) & << 2441 s < 0. ||
>> 2442 ( s > 0. && p.z() + s*v.z() < 0.) )
1986 { 2443 {
1987 sd = -b + d ; // 2nd root << 2444 s = -b + d ; // 2nd root
1988 } 2445 }
1989 if( (sd > halfRmaxTolerance) && << 2446 if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() >= 0.)
1990 { 2447 {
1991 stheta = sd; << 2448 stheta = s;
1992 sidetheta = kSTheta; 2449 sidetheta = kSTheta;
1993 } << 2450 }
1994 } 2451 }
1995 } 2452 }
1996 } 2453 }
1997 } 2454 }
1998 } 2455 }
1999 if (eTheta < pi) // intersection with sec << 2456 if (fSTheta + fDTheta < pi) // intersection with second cons
2000 { 2457 {
>> 2458
>> 2459 tanETheta = std::tan(fSTheta+fDTheta);
>> 2460
2001 if( std::fabs(tanETheta) > 5./kAngToler 2461 if( std::fabs(tanETheta) > 5./kAngTolerance ) // kons is plane z=0
2002 { 2462 {
2003 if( v.z() < 0. ) << 2463 if( v.z() < 0. )
2004 { 2464 {
2005 if ( std::fabs( p.z() ) <= halfRmax << 2465 if ( std::fabs( p.z() ) <= flexRadMaxTolerance*0.5 )
2006 { 2466 {
2007 if(calcNorm) 2467 if(calcNorm)
2008 { 2468 {
2009 *validNorm = true; 2469 *validNorm = true;
2010 *n = G4ThreeVector(0.,0.,-1.); 2470 *n = G4ThreeVector(0.,0.,-1.);
2011 } 2471 }
2012 return snxt = 0 ; 2472 return snxt = 0 ;
2013 } << 2473 }
2014 sd = -p.z()/v.z(); << 2474 s = -p.z()/v.z();
2015 2475
2016 if( sd < stheta ) << 2476 if( s < stheta)
2017 { 2477 {
2018 stheta = sd; << 2478 stheta = s;
2019 sidetheta = kETheta; 2479 sidetheta = kETheta;
2020 } 2480 }
2021 } 2481 }
2022 } 2482 }
2023 else // kons is not plane << 2483 else // kons is not plane
2024 { 2484 {
>> 2485 tanETheta2 = tanETheta*tanETheta;
2025 t1 = 1-v.z()*v.z()*(1+tanETh 2486 t1 = 1-v.z()*v.z()*(1+tanETheta2);
2026 t2 = pDotV2d-p.z()*v.z()*tan 2487 t2 = pDotV2d-p.z()*v.z()*tanETheta2; // ~vDotN if p on cons
2027 dist2ETheta = rho2-p.z()*p.z()*tanETh << 2488 dist2ETheta = rho2-p.z()*p.z()*tanETheta2; // t3
2028 2489
>> 2490 // distTheta = std::sqrt(std::fabs(dist2ETheta/(1+tanETheta2)));
2029 distTheta = std::sqrt(rho2)-p.z()*tan 2491 distTheta = std::sqrt(rho2)-p.z()*tanETheta;
2030 2492
2031 if( std::fabs(t1) < halfAngTolerance << 2493 if( std::fabs(t1) < 0.5*kAngTolerance ) // 1st order equation, v parallel to kons
2032 { << 2494 {
2033 if( v.z() < 0. ) 2495 if( v.z() < 0. )
2034 { 2496 {
2035 if(std::fabs(distTheta) < halfRma << 2497 if(std::fabs(distTheta) < flexRadMaxTolerance*0.5) // p on surface
2036 { 2498 {
2037 if( (eTheta > halfpi) && (p.z() << 2499 if( fSTheta+fDTheta > halfpi && p.z() < 0. )
2038 { 2500 {
2039 if( calcNorm ) { *validNorm << 2501 if( calcNorm ) *validNorm = false;
2040 return snxt = 0.; << 2502 return snxt = 0.;
2041 } 2503 }
2042 else if ( (eTheta < halfpi) && << 2504 else if( fSTheta+fDTheta < halfpi && p.z() >= 0)
2043 { 2505 {
2044 if( calcNorm ) << 2506 if( calcNorm )
2045 { 2507 {
2046 *validNorm = true; 2508 *validNorm = true;
2047 if (rho2 != 0.0) << 2509 if (rho2)
2048 { 2510 {
2049 rhoSecTheta = std::sqrt(r 2511 rhoSecTheta = std::sqrt(rho2*(1+tanETheta2));
2050 *n = G4ThreeVector( p.x() << 2512
>> 2513 *n = G4ThreeVector( p.x()/rhoSecTheta,
2051 p.y() 2514 p.y()/rhoSecTheta,
2052 -sinE << 2515 -std::sin(fSTheta+fDTheta) );
2053 } 2516 }
2054 else { *n = G4ThreeVector( << 2517 else *n = G4ThreeVector(0.,0.,-1.);
2055 } 2518 }
2056 return snxt = 0.; << 2519 return snxt = 0.;
2057 } 2520 }
2058 } 2521 }
2059 sd = -0.5*dist2ETheta/t2; << 2522 s = -0.5*dist2ETheta/t2;
2060 2523
2061 if( sd < stheta ) << 2524 if( s < stheta)
2062 { 2525 {
2063 stheta = sd; << 2526 stheta = s;
2064 sidetheta = kETheta; 2527 sidetheta = kETheta;
2065 } 2528 }
2066 } << 2529 }
2067 } // 2nd order equation, 1st roo << 2530 }
2068 else // 2nd if 1st root -ve << 2531 else // 2nd order equation, 1st root of fSTheta cone, 2nd if 1st root -ve
2069 { 2532 {
2070 if ( std::fabs(distTheta) < halfRma << 2533 if( std::fabs(distTheta) < flexRadMaxTolerance*0.5) // && t2 >= 0.) surface
2071 { 2534 {
2072 if( (eTheta < halfpi) && (t2 >= 0 << 2535 if( fSTheta+fDTheta < halfpi && t2 >= 0. ) // leave
2073 { 2536 {
2074 if( calcNorm ) << 2537 if( calcNorm )
2075 { 2538 {
2076 *validNorm = true; 2539 *validNorm = true;
2077 if (rho2 != 0.0) << 2540 if (rho2)
2078 { 2541 {
2079 rhoSecTheta = std::sqrt(r 2542 rhoSecTheta = std::sqrt(rho2*(1+tanETheta2));
2080 *n = G4ThreeVector( p.x() << 2543
>> 2544 *n = G4ThreeVector( p.x()/rhoSecTheta,
2081 p.y() 2545 p.y()/rhoSecTheta,
2082 -sinE << 2546 -std::sin(fSTheta+fDTheta) );
2083 } 2547 }
2084 else *n = G4ThreeVector(0.,0. 2548 else *n = G4ThreeVector(0.,0.,-1.);
2085 } << 2549 }
2086 return snxt = 0.; 2550 return snxt = 0.;
2087 } 2551 }
2088 else if ( (eTheta > halfpi) << 2552 else if( fSTheta+fDTheta > halfpi && t2 < 0. && p.z() <=0. ) // leave
2089 && (t2 < 0.) && (p.z() <=0 <<
2090 { 2553 {
2091 if( calcNorm ) { *validNorm = << 2554 if( calcNorm ) *validNorm = false;
2092 return snxt = 0.; << 2555 return snxt = 0.;
2093 } << 2556 }
2094 } 2557 }
2095 b = t2/t1; 2558 b = t2/t1;
2096 c = dist2ETheta/t1; 2559 c = dist2ETheta/t1;
2097 d2 = b*b - c ; 2560 d2 = b*b - c ;
2098 if ( (d2 <halfRmaxTolerance) && (d2 << 2561
2099 { <<
2100 d2 = 0.; <<
2101 } <<
2102 if ( d2 >= 0. ) 2562 if ( d2 >= 0. )
2103 { 2563 {
2104 d = std::sqrt(d2); 2564 d = std::sqrt(d2);
2105 2565
2106 if( eTheta < halfpi ) << 2566 if( fSTheta+fDTheta < halfpi )
2107 { 2567 {
2108 sd = -b - d; // First r << 2568 s = -b - d; // First root
2109 2569
2110 if( ((std::fabs(sd) < halfRmaxT << 2570 if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 < 0.) ||
2111 || (sd < 0.) ) << 2571 s < 0. )
2112 { 2572 {
2113 sd = -b + d ; // 2nd root << 2573 s = -b + d ; // 2nd root
2114 } 2574 }
2115 if( sd > halfRmaxTolerance ) << 2575 if( s > flexRadMaxTolerance*0.5 )
2116 { 2576 {
2117 if( sd < stheta ) << 2577 if( s < stheta )
2118 { 2578 {
2119 stheta = sd; << 2579 stheta = s;
2120 sidetheta = kETheta; 2580 sidetheta = kETheta;
2121 } 2581 }
2122 } 2582 }
2123 } 2583 }
2124 else // sTheta+fDTheta > pi/2, co 2584 else // sTheta+fDTheta > pi/2, concave surface, no normal
2125 { 2585 {
2126 sd = -b - d; // First r << 2586 s = -b - d; // First root
2127 2587
2128 if ( ((std::fabs(sd) < halfRmax << 2588 if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 >= 0.) ||
2129 || (sd < 0.) << 2589 s < 0. ||
2130 || ( (sd > 0.) && (p.z() + sd << 2590 ( s > 0. && p.z() + s*v.z() > 0.) )
2131 { 2591 {
2132 sd = -b + d ; // 2nd root << 2592 s = -b + d ; // 2nd root
2133 } 2593 }
2134 if ( ( sd>halfRmaxTolerance ) << 2594 if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() <= 0.)
2135 && ( p.z()+sd*v.z() <= halfRm <<
2136 { 2595 {
2137 if( sd < stheta ) << 2596 if( s < stheta )
2138 { 2597 {
2139 stheta = sd; << 2598 stheta = s;
2140 sidetheta = kETheta; 2599 sidetheta = kETheta;
2141 } 2600 }
2142 } << 2601 }
2143 } 2602 }
2144 } 2603 }
2145 } 2604 }
2146 } 2605 }
2147 } 2606 }
2148 2607
2149 } // end theta intersections 2608 } // end theta intersections
2150 2609
2151 // Phi Intersection 2610 // Phi Intersection
2152 << 2611
2153 if ( !fFullPhiSphere ) << 2612 if ( fDPhi < twopi)
2154 { 2613 {
2155 if ( (p.x() != 0.0) || (p.y() != 0.0) ) / << 2614 sinSPhi=std::sin(fSPhi);
>> 2615 cosSPhi=std::cos(fSPhi);
>> 2616 ePhi=fSPhi+fDPhi;
>> 2617 sinEPhi=std::sin(ePhi);
>> 2618 cosEPhi=std::cos(ePhi);
>> 2619 cPhi=fSPhi+fDPhi*0.5;
>> 2620 sinCPhi=std::sin(cPhi);
>> 2621 cosCPhi=std::cos(cPhi);
>> 2622
>> 2623 if ( p.x()||p.y() ) // Check if on z axis (rho not needed later)
2156 { 2624 {
2157 // pDist -ve when inside 2625 // pDist -ve when inside
2158 2626
2159 pDistS=p.x()*sinSPhi-p.y()*cosSPhi; 2627 pDistS=p.x()*sinSPhi-p.y()*cosSPhi;
2160 pDistE=-p.x()*sinEPhi+p.y()*cosEPhi; 2628 pDistE=-p.x()*sinEPhi+p.y()*cosEPhi;
2161 2629
2162 // Comp -ve when in direction of outwar 2630 // Comp -ve when in direction of outwards normal
2163 2631
2164 compS = -sinSPhi*v.x()+cosSPhi*v.y() 2632 compS = -sinSPhi*v.x()+cosSPhi*v.y() ;
2165 compE = sinEPhi*v.x()-cosEPhi*v.y() 2633 compE = sinEPhi*v.x()-cosEPhi*v.y() ;
2166 sidephi = kNull ; 2634 sidephi = kNull ;
2167 2635
2168 if ( (pDistS <= 0) && (pDistE <= 0) ) << 2636 if ( pDistS <= 0 && pDistE <= 0 )
2169 { 2637 {
2170 // Inside both phi *full* planes 2638 // Inside both phi *full* planes
2171 2639
2172 if ( compS < 0 ) 2640 if ( compS < 0 )
2173 { 2641 {
2174 sphi = pDistS/compS ; 2642 sphi = pDistS/compS ;
2175 xi = p.x()+sphi*v.x() ; 2643 xi = p.x()+sphi*v.x() ;
2176 yi = p.y()+sphi*v.y() ; 2644 yi = p.y()+sphi*v.y() ;
2177 2645
2178 // Check intersection with correct << 2646 // Check intersecting with correct half-plane
2179 // << 2647 // (if not -> no intersect)
2180 if( (std::fabs(xi)<=kCarTolerance) << 2648
2181 { << 2649 if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 )
2182 vphi = std::atan2(v.y(),v.x()); <<
2183 sidephi = kSPhi; <<
2184 if ( ( (fSPhi-halfAngTolerance) < <<
2185 && ( (ePhi+halfAngTolerance) > <<
2186 { <<
2187 sphi = kInfinity; <<
2188 } <<
2189 } <<
2190 else if ( ( yi*cosCPhi - xi*sinCPhi <<
2191 { 2650 {
2192 sphi=kInfinity; 2651 sphi=kInfinity;
2193 } 2652 }
2194 else 2653 else
2195 { 2654 {
2196 sidephi = kSPhi ; 2655 sidephi = kSPhi ;
2197 if ( pDistS > -halfCarTolerance) << 2656 if ( pDistS > -0.5*kCarTolerance) sphi =0 ; // Leave by sphi
2198 } 2657 }
2199 } 2658 }
2200 else { sphi = kInfinity; } << 2659 else sphi = kInfinity ;
2201 2660
2202 if ( compE < 0 ) 2661 if ( compE < 0 )
2203 { 2662 {
2204 sphi2=pDistE/compE ; 2663 sphi2=pDistE/compE ;
2205 if (sphi2 < sphi) // Only check fur 2664 if (sphi2 < sphi) // Only check further if < starting phi intersection
2206 { 2665 {
2207 xi = p.x()+sphi2*v.x() ; 2666 xi = p.x()+sphi2*v.x() ;
2208 yi = p.y()+sphi2*v.y() ; 2667 yi = p.y()+sphi2*v.y() ;
2209 2668
2210 // Check intersection with correc << 2669 // Check intersecting with correct half-plane
2211 // << 2670
2212 if ( (std::fabs(xi)<=kCarToleranc << 2671 if ((yi*cosCPhi-xi*sinCPhi)>=0) // Leaving via ending phi
2213 && (std::fabs(yi)<=kCarToleranc <<
2214 { <<
2215 // Leaving via ending phi <<
2216 // <<
2217 vphi = std::atan2(v.y(),v.x()) <<
2218 <<
2219 if( (fSPhi-halfAngTolerance > v <<
2220 ||(fSPhi+fDPhi+halfAngToler <<
2221 { <<
2222 sidephi = kEPhi; <<
2223 if ( pDistE <= -halfCarTolera <<
2224 else <<
2225 } <<
2226 } <<
2227 else if ((yi*cosCPhi-xi*sinCPhi)> <<
2228 { 2672 {
2229 sidephi = kEPhi ; 2673 sidephi = kEPhi ;
2230 if ( pDistE <= -halfCarToleranc << 2674 if ( pDistE <= -0.5*kCarTolerance )
2231 { 2675 {
2232 sphi=sphi2; 2676 sphi=sphi2;
2233 } 2677 }
2234 else << 2678 else
2235 { 2679 {
2236 sphi = 0 ; 2680 sphi = 0 ;
2237 } 2681 }
2238 } 2682 }
2239 } 2683 }
2240 } << 2684 }
2241 } 2685 }
2242 else if ((pDistS >= 0) && (pDistE >= 0) << 2686 else if ( pDistS >= 0 && pDistE >= 0 ) // Outside both *full* phi planes
2243 { 2687 {
2244 if ( pDistS <= pDistE ) 2688 if ( pDistS <= pDistE )
2245 { 2689 {
2246 sidephi = kSPhi ; 2690 sidephi = kSPhi ;
2247 } 2691 }
2248 else 2692 else
2249 { 2693 {
2250 sidephi = kEPhi ; 2694 sidephi = kEPhi ;
2251 } 2695 }
2252 if ( fDPhi > pi ) 2696 if ( fDPhi > pi )
2253 { 2697 {
2254 if ( (compS < 0) && (compE < 0) ) << 2698 if ( compS < 0 && compE < 0 ) sphi = 0 ;
2255 else << 2699 else sphi = kInfinity ;
2256 } 2700 }
2257 else 2701 else
2258 { 2702 {
2259 // if towards both >=0 then once in 2703 // if towards both >=0 then once inside (after error)
2260 // will remain inside 2704 // will remain inside
2261 2705
2262 if ( (compS >= 0) && (compE >= 0) ) << 2706 if ( compS >= 0 && compE >= 0 )
2263 else << 2707 {
2264 } << 2708 sphi=kInfinity;
>> 2709 }
>> 2710 else
>> 2711 {
>> 2712 sphi=0;
>> 2713 }
>> 2714 }
2265 } 2715 }
2266 else if ( (pDistS > 0) && (pDistE < 0) << 2716 else if ( pDistS > 0 && pDistE < 0 )
2267 { 2717 {
2268 // Outside full starting plane, insid 2718 // Outside full starting plane, inside full ending plane
2269 2719
2270 if ( fDPhi > pi ) 2720 if ( fDPhi > pi )
2271 { 2721 {
2272 if ( compE < 0 ) 2722 if ( compE < 0 )
2273 { 2723 {
2274 sphi = pDistE/compE ; 2724 sphi = pDistE/compE ;
2275 xi = p.x() + sphi*v.x() ; 2725 xi = p.x() + sphi*v.x() ;
2276 yi = p.y() + sphi*v.y() ; 2726 yi = p.y() + sphi*v.y() ;
2277 2727
2278 // Check intersection in correct 2728 // Check intersection in correct half-plane
2279 // (if not -> not leaving phi ext 2729 // (if not -> not leaving phi extent)
2280 // 2730 //
2281 if( (std::fabs(xi)<=kCarTolerance << 2731 if ( ( yi*cosCPhi - xi*sinCPhi ) <= 0 )
2282 { <<
2283 vphi = std::atan2(v.y(),v.x()); <<
2284 sidephi = kSPhi; <<
2285 if ( ( (fSPhi-halfAngTolerance) <<
2286 && ( (ePhi+halfAngTolerance) <<
2287 { <<
2288 sphi = kInfinity; <<
2289 } <<
2290 } <<
2291 else if ( ( yi*cosCPhi - xi*sinCP <<
2292 { 2732 {
2293 sphi = kInfinity ; 2733 sphi = kInfinity ;
2294 } 2734 }
2295 else // Leaving via Ending phi 2735 else // Leaving via Ending phi
2296 { 2736 {
2297 sidephi = kEPhi ; 2737 sidephi = kEPhi ;
2298 if ( pDistE > -halfCarTolerance << 2738 if ( pDistE > -0.5*kCarTolerance ) sphi = 0. ;
2299 } 2739 }
2300 } 2740 }
2301 else 2741 else
2302 { 2742 {
2303 sphi = kInfinity ; 2743 sphi = kInfinity ;
2304 } 2744 }
2305 } 2745 }
2306 else 2746 else
2307 { 2747 {
2308 if ( compS >= 0 ) 2748 if ( compS >= 0 )
2309 { 2749 {
2310 if ( compE < 0 ) 2750 if ( compE < 0 )
2311 { << 2751 {
2312 sphi = pDistE/compE ; 2752 sphi = pDistE/compE ;
2313 xi = p.x() + sphi*v.x() ; 2753 xi = p.x() + sphi*v.x() ;
2314 yi = p.y() + sphi*v.y() ; 2754 yi = p.y() + sphi*v.y() ;
2315 2755
2316 // Check intersection in correc 2756 // Check intersection in correct half-plane
2317 // (if not -> remain in extent) 2757 // (if not -> remain in extent)
2318 // 2758 //
2319 if( (std::fabs(xi)<=kCarToleran << 2759 if ( ( yi*cosCPhi - xi*sinCPhi) <= 0 )
2320 && (std::fabs(yi)<=kCarToleran <<
2321 { <<
2322 vphi = std::atan2(v.y(),v.x() <<
2323 sidephi = kSPhi; <<
2324 if ( ( (fSPhi-halfAngToleranc <<
2325 && ( (ePhi+halfAngTolerance <<
2326 { <<
2327 sphi = kInfinity; <<
2328 } <<
2329 } <<
2330 else if ( ( yi*cosCPhi - xi*sin <<
2331 { 2760 {
2332 sphi=kInfinity; 2761 sphi=kInfinity;
2333 } 2762 }
2334 else // otherwise leaving via E 2763 else // otherwise leaving via Ending phi
2335 { 2764 {
2336 sidephi = kEPhi ; 2765 sidephi = kEPhi ;
2337 } 2766 }
2338 } 2767 }
2339 else sphi=kInfinity; 2768 else sphi=kInfinity;
2340 } 2769 }
2341 else // leaving immediately by star 2770 else // leaving immediately by starting phi
2342 { 2771 {
2343 sidephi = kSPhi ; 2772 sidephi = kSPhi ;
2344 sphi = 0 ; 2773 sphi = 0 ;
2345 } 2774 }
2346 } 2775 }
2347 } 2776 }
2348 else 2777 else
2349 { 2778 {
2350 // Must be pDistS < 0 && pDistE > 0 2779 // Must be pDistS < 0 && pDistE > 0
2351 // Inside full starting plane, outsid 2780 // Inside full starting plane, outside full ending plane
2352 2781
2353 if ( fDPhi > pi ) 2782 if ( fDPhi > pi )
2354 { 2783 {
2355 if ( compS < 0 ) 2784 if ( compS < 0 )
2356 { 2785 {
2357 sphi=pDistS/compS; 2786 sphi=pDistS/compS;
2358 xi=p.x()+sphi*v.x(); 2787 xi=p.x()+sphi*v.x();
2359 yi=p.y()+sphi*v.y(); 2788 yi=p.y()+sphi*v.y();
2360 2789
2361 // Check intersection in correct 2790 // Check intersection in correct half-plane
2362 // (if not -> not leaving phi ext 2791 // (if not -> not leaving phi extent)
2363 // 2792 //
2364 if( (std::fabs(xi)<=kCarTolerance << 2793 if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 )
2365 { <<
2366 vphi = std::atan2(v.y(),v.x()) <<
2367 sidephi = kSPhi; <<
2368 if ( ( (fSPhi-halfAngTolerance) <<
2369 && ( (ePhi+halfAngTolerance) <<
2370 { <<
2371 sphi = kInfinity; <<
2372 } <<
2373 } <<
2374 else if ( ( yi*cosCPhi - xi*sinCP <<
2375 { 2794 {
2376 sphi = kInfinity ; 2795 sphi = kInfinity ;
2377 } 2796 }
2378 else // Leaving via Starting phi << 2797 else // Leaving via Starting phi
2379 { << 2798 {
2380 sidephi = kSPhi ; 2799 sidephi = kSPhi ;
2381 if ( pDistS > -halfCarTolerance << 2800 if ( pDistS > -0.5*kCarTolerance ) sphi = 0 ;
2382 } 2801 }
2383 } 2802 }
2384 else 2803 else
2385 { 2804 {
2386 sphi = kInfinity ; 2805 sphi = kInfinity ;
2387 } 2806 }
2388 } 2807 }
2389 else 2808 else
2390 { 2809 {
2391 if ( compE >= 0 ) 2810 if ( compE >= 0 )
2392 { 2811 {
2393 if ( compS < 0 ) 2812 if ( compS < 0 )
2394 { 2813 {
2395 sphi = pDistS/compS ; 2814 sphi = pDistS/compS ;
2396 xi = p.x()+sphi*v.x() ; 2815 xi = p.x()+sphi*v.x() ;
2397 yi = p.y()+sphi*v.y() ; 2816 yi = p.y()+sphi*v.y() ;
2398 2817
2399 // Check intersection in correc 2818 // Check intersection in correct half-plane
2400 // (if not -> remain in extent) 2819 // (if not -> remain in extent)
2401 // 2820 //
2402 if( (std::fabs(xi)<=kCarToleran << 2821 if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 )
2403 && (std::fabs(yi)<=kCarToleran <<
2404 { <<
2405 vphi = std::atan2(v.y(),v.x() <<
2406 sidephi = kSPhi; <<
2407 if ( ( (fSPhi-halfAngToleranc <<
2408 && ( (ePhi+halfAngTolerance <<
2409 { <<
2410 sphi = kInfinity; <<
2411 } <<
2412 } <<
2413 else if ( ( yi*cosCPhi - xi*sin <<
2414 { 2822 {
2415 sphi = kInfinity ; 2823 sphi = kInfinity ;
2416 } 2824 }
2417 else // otherwise leaving via S 2825 else // otherwise leaving via Starting phi
2418 { 2826 {
2419 sidephi = kSPhi ; 2827 sidephi = kSPhi ;
2420 } 2828 }
2421 } 2829 }
2422 else 2830 else
2423 { 2831 {
2424 sphi = kInfinity ; 2832 sphi = kInfinity ;
2425 } 2833 }
2426 } 2834 }
2427 else // leaving immediately by endi 2835 else // leaving immediately by ending
2428 { 2836 {
2429 sidephi = kEPhi ; 2837 sidephi = kEPhi ;
2430 sphi = 0 ; 2838 sphi = 0 ;
2431 } 2839 }
2432 } 2840 }
2433 } << 2841 }
2434 } 2842 }
2435 else 2843 else
2436 { 2844 {
2437 // On z axis + travel not || to z axis 2845 // On z axis + travel not || to z axis -> if phi of vector direction
2438 // within phi of shape, Step limited by 2846 // within phi of shape, Step limited by rmax, else Step =0
2439 2847
2440 if ( (v.x() != 0.0) || (v.y() != 0.0) ) << 2848 if ( v.x() || v.y() )
2441 { 2849 {
2442 vphi = std::atan2(v.y(),v.x()) ; 2850 vphi = std::atan2(v.y(),v.x()) ;
2443 if ((fSPhi-halfAngTolerance < vphi) & << 2851 if ( fSPhi < vphi && vphi < fSPhi + fDPhi )
2444 { 2852 {
2445 sphi = kInfinity; << 2853 sphi=kInfinity;
2446 } 2854 }
2447 else 2855 else
2448 { 2856 {
2449 sidephi = kSPhi ; // arbitrary << 2857 sidephi = kSPhi ; // arbitrary
2450 sphi = 0 ; 2858 sphi = 0 ;
2451 } 2859 }
2452 } 2860 }
2453 else // travel along z - no phi inters << 2861 else // travel along z - no phi intersaction
2454 { 2862 {
2455 sphi = kInfinity ; 2863 sphi = kInfinity ;
2456 } 2864 }
2457 } 2865 }
2458 if ( sphi < snxt ) // Order intersecttio 2866 if ( sphi < snxt ) // Order intersecttions
2459 { 2867 {
2460 snxt = sphi ; 2868 snxt = sphi ;
2461 side = sidephi ; 2869 side = sidephi ;
2462 } 2870 }
2463 } 2871 }
2464 if (stheta < snxt ) // Order intersections 2872 if (stheta < snxt ) // Order intersections
2465 { 2873 {
2466 snxt = stheta ; 2874 snxt = stheta ;
2467 side = sidetheta ; 2875 side = sidetheta ;
2468 } 2876 }
2469 2877
2470 if (calcNorm) // Output switch operator 2878 if (calcNorm) // Output switch operator
2471 { 2879 {
2472 switch( side ) 2880 switch( side )
2473 { 2881 {
2474 case kRMax: 2882 case kRMax:
2475 xi=p.x()+snxt*v.x(); 2883 xi=p.x()+snxt*v.x();
2476 yi=p.y()+snxt*v.y(); 2884 yi=p.y()+snxt*v.y();
2477 zi=p.z()+snxt*v.z(); 2885 zi=p.z()+snxt*v.z();
2478 *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi 2886 *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi/fRmax);
2479 *validNorm=true; 2887 *validNorm=true;
2480 break; 2888 break;
2481 2889
2482 case kRMin: 2890 case kRMin:
2483 *validNorm=false; // Rmin is concave 2891 *validNorm=false; // Rmin is concave
2484 break; 2892 break;
2485 2893
2486 case kSPhi: 2894 case kSPhi:
2487 if ( fDPhi <= pi ) // Normal to P 2895 if ( fDPhi <= pi ) // Normal to Phi-
2488 { 2896 {
2489 *n=G4ThreeVector(sinSPhi,-cosSPhi,0 << 2897 *n=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0);
2490 *validNorm=true; 2898 *validNorm=true;
2491 } 2899 }
2492 else { *validNorm=false; } << 2900 else *validNorm=false;
2493 break ; 2901 break ;
2494 2902
2495 case kEPhi: 2903 case kEPhi:
2496 if ( fDPhi <= pi ) // Normal to 2904 if ( fDPhi <= pi ) // Normal to Phi+
2497 { 2905 {
2498 *n=G4ThreeVector(-sinEPhi,cosEPhi,0 << 2906 *n=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0);
2499 *validNorm=true; 2907 *validNorm=true;
2500 } 2908 }
2501 else { *validNorm=false; } << 2909 else *validNorm=false;
2502 break; 2910 break;
2503 2911
2504 case kSTheta: 2912 case kSTheta:
2505 if( fSTheta == halfpi ) 2913 if( fSTheta == halfpi )
2506 { 2914 {
2507 *n=G4ThreeVector(0.,0.,1.); 2915 *n=G4ThreeVector(0.,0.,1.);
2508 *validNorm=true; 2916 *validNorm=true;
2509 } 2917 }
2510 else if ( fSTheta > halfpi ) 2918 else if ( fSTheta > halfpi )
2511 { 2919 {
2512 xi = p.x() + snxt*v.x(); 2920 xi = p.x() + snxt*v.x();
2513 yi = p.y() + snxt*v.y(); 2921 yi = p.y() + snxt*v.y();
2514 rho2=xi*xi+yi*yi; << 2922 rhoSecTheta = std::sqrt((xi*xi+yi*yi)*(1+tanSTheta2));
2515 if (rho2 != 0.0) << 2923 *n = G4ThreeVector( xi/rhoSecTheta, // N-
2516 { << 2924 yi/rhoSecTheta,
2517 rhoSecTheta = std::sqrt(rho2*(1+t << 2925 -tanSTheta/std::sqrt(1+tanSTheta2));
2518 *n = G4ThreeVector( xi/rhoSecThet <<
2519 -tanSTheta/std <<
2520 } <<
2521 else <<
2522 { <<
2523 *n = G4ThreeVector(0.,0.,1.); <<
2524 } <<
2525 *validNorm=true; 2926 *validNorm=true;
2526 } 2927 }
2527 else { *validNorm=false; } // Conca << 2928 else *validNorm=false; // Concave STheta cone
2528 break; 2929 break;
2529 2930
2530 case kETheta: 2931 case kETheta:
2531 if( eTheta == halfpi ) << 2932 if( ( fSTheta + fDTheta ) == halfpi )
2532 { 2933 {
2533 *n = G4ThreeVector(0.,0.,-1 2934 *n = G4ThreeVector(0.,0.,-1.);
2534 *validNorm = true; 2935 *validNorm = true;
2535 } 2936 }
2536 else if ( eTheta < halfpi ) << 2937 else if ( ( fSTheta + fDTheta ) < halfpi)
2537 { 2938 {
2538 xi=p.x()+snxt*v.x(); 2939 xi=p.x()+snxt*v.x();
2539 yi=p.y()+snxt*v.y(); 2940 yi=p.y()+snxt*v.y();
2540 rho2=xi*xi+yi*yi; << 2941 rhoSecTheta = std::sqrt((xi*xi+yi*yi)*(1+tanETheta2));
2541 if (rho2 != 0.0) << 2942 *n = G4ThreeVector( xi/rhoSecTheta, // N+
2542 { << 2943 yi/rhoSecTheta,
2543 rhoSecTheta = std::sqrt(rho2*(1+t << 2944 -tanETheta/std::sqrt(1+tanETheta2) );
2544 *n = G4ThreeVector( xi/rhoSecThet <<
2545 -tanETheta/std <<
2546 } <<
2547 else <<
2548 { <<
2549 *n = G4ThreeVector(0.,0.,-1.); <<
2550 } <<
2551 *validNorm=true; 2945 *validNorm=true;
2552 } 2946 }
2553 else { *validNorm=false; } // Conc << 2947 else *validNorm=false; // Concave ETheta cone
2554 break; 2948 break;
2555 2949
2556 default: 2950 default:
>> 2951 G4cout.precision(16);
2557 G4cout << G4endl; 2952 G4cout << G4endl;
2558 DumpInfo(); 2953 DumpInfo();
2559 std::ostringstream message; << 2954 G4cout << "Position:" << G4endl << G4endl;
2560 G4long oldprc = message.precision(16) << 2955 G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl;
2561 message << "Undefined side for valid << 2956 G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl;
2562 << G4endl << 2957 G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl;
2563 << "Position:" << G4endl << << 2958 G4cout << "Direction:" << G4endl << G4endl;
2564 << "p.x() = " << p.x()/mm < << 2959 G4cout << "v.x() = " << v.x() << G4endl;
2565 << "p.y() = " << p.y()/mm < << 2960 G4cout << "v.y() = " << v.y() << G4endl;
2566 << "p.z() = " << p.z()/mm < << 2961 G4cout << "v.z() = " << v.z() << G4endl << G4endl;
2567 << "Direction:" << G4endl << << 2962 G4cout << "Proposed distance :" << G4endl << G4endl;
2568 << "v.x() = " << v.x() << G << 2963 G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl;
2569 << "v.y() = " << v.y() << G <<
2570 << "v.z() = " << v.z() << G <<
2571 << "Proposed distance :" << G <<
2572 << "snxt = " << snxt/mm << <<
2573 message.precision(oldprc); <<
2574 G4Exception("G4Sphere::DistanceToOut( 2964 G4Exception("G4Sphere::DistanceToOut(p,v,..)",
2575 "GeomSolids1002", JustWar << 2965 "Notification", JustWarning,
>> 2966 "Undefined side for valid surface normal to solid.");
2576 break; 2967 break;
2577 } 2968 }
2578 } 2969 }
2579 if (snxt == kInfinity) 2970 if (snxt == kInfinity)
2580 { 2971 {
>> 2972 G4cout.precision(24);
2581 G4cout << G4endl; 2973 G4cout << G4endl;
2582 DumpInfo(); 2974 DumpInfo();
2583 std::ostringstream message; << 2975 G4cout << "Position:" << G4endl << G4endl;
2584 G4long oldprc = message.precision(16); << 2976 G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl;
2585 message << "Logic error: snxt = kInfinity << 2977 G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl;
2586 << "Position:" << G4endl << G4en << 2978 G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl;
2587 << "p.x() = " << p.x()/mm << " << 2979 G4cout << "Rp = "<< std::sqrt( p.x()*p.x()+p.y()*p.y()+p.z()*p.z() )/mm << " mm"
2588 << "p.y() = " << p.y()/mm << " << 2980 << G4endl << G4endl;
2589 << "p.z() = " << p.z()/mm << " << 2981 G4cout << "Direction:" << G4endl << G4endl;
2590 << "Rp = "<< std::sqrt( p.x()*p.x << 2982 G4cout << "v.x() = " << v.x() << G4endl;
2591 << " mm" << G4endl << G4endl << 2983 G4cout << "v.y() = " << v.y() << G4endl;
2592 << "Direction:" << G4endl << G4en << 2984 G4cout << "v.z() = " << v.z() << G4endl << G4endl;
2593 << "v.x() = " << v.x() << G4end << 2985 G4cout << "Proposed distance :" << G4endl << G4endl;
2594 << "v.y() = " << v.y() << G4end << 2986 G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl;
2595 << "v.z() = " << v.z() << G4end <<
2596 << "Proposed distance :" << G4end <<
2597 << "snxt = " << snxt/mm << " m <<
2598 message.precision(oldprc); <<
2599 G4Exception("G4Sphere::DistanceToOut(p,v, 2987 G4Exception("G4Sphere::DistanceToOut(p,v,..)",
2600 "GeomSolids1002", JustWarning << 2988 "Notification", JustWarning,
>> 2989 "Logic error: snxt = kInfinity ???");
2601 } 2990 }
2602 2991
2603 return snxt; 2992 return snxt;
2604 } 2993 }
2605 2994
2606 ///////////////////////////////////////////// 2995 /////////////////////////////////////////////////////////////////////////
2607 // 2996 //
2608 // Calculate distance (<=actual) to closest s << 2997 // Calcluate distance (<=actual) to closest surface of shape from inside
2609 2998
2610 G4double G4Sphere::DistanceToOut( const G4Thr 2999 G4double G4Sphere::DistanceToOut( const G4ThreeVector& p ) const
2611 { 3000 {
2612 G4double safe=0.0,safeRMin,safeRMax,safePhi 3001 G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta;
2613 G4double rho2,rds,rho; << 3002 G4double rho2,rad,rho;
2614 G4double pTheta,dTheta1 = kInfinity,dTheta2 << 3003 G4double phiC,cosPhiC,sinPhiC,ePhi;
>> 3004 G4double pTheta,dTheta1,dTheta2;
2615 rho2=p.x()*p.x()+p.y()*p.y(); 3005 rho2=p.x()*p.x()+p.y()*p.y();
2616 rds=std::sqrt(rho2+p.z()*p.z()); << 3006 rad=std::sqrt(rho2+p.z()*p.z());
2617 rho=std::sqrt(rho2); 3007 rho=std::sqrt(rho2);
2618 3008
2619 #ifdef G4CSGDEBUG 3009 #ifdef G4CSGDEBUG
2620 if( Inside(p) == kOutside ) 3010 if( Inside(p) == kOutside )
2621 { 3011 {
2622 G4long old_prc = G4cout.precision(16); << 3012 G4cout.precision(16) ;
2623 G4cout << G4endl; << 3013 G4cout << G4endl ;
2624 DumpInfo(); 3014 DumpInfo();
2625 G4cout << "Position:" << G4endl << G4en 3015 G4cout << "Position:" << G4endl << G4endl ;
2626 G4cout << "p.x() = " << p.x()/mm << " 3016 G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ;
2627 G4cout << "p.y() = " << p.y()/mm << " 3017 G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ;
2628 G4cout << "p.z() = " << p.z()/mm << " 3018 G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ;
2629 G4cout.precision(old_prc) ; <<
2630 G4Exception("G4Sphere::DistanceToOut(p)" 3019 G4Exception("G4Sphere::DistanceToOut(p)",
2631 "GeomSolids1002", JustWarnin << 3020 "Notification", JustWarning, "Point p is outside !?" );
2632 } 3021 }
2633 #endif 3022 #endif
2634 3023
2635 // Distance to r shells <<
2636 // 3024 //
2637 safeRMax = fRmax-rds; << 3025 // Distance to r shells
2638 safe = safeRMax; << 3026 //
2639 if (fRmin != 0.0) << 3027 if (fRmin)
2640 { 3028 {
2641 safeRMin = rds-fRmin; << 3029 safeRMin=rad-fRmin;
2642 safe = std::min( safeRMin, safeRMax ); << 3030 safeRMax=fRmax-rad;
>> 3031 if (safeRMin<safeRMax)
>> 3032 {
>> 3033 safe=safeRMin;
>> 3034 }
>> 3035 else
>> 3036 {
>> 3037 safe=safeRMax;
>> 3038 }
>> 3039 }
>> 3040 else
>> 3041 {
>> 3042 safe=fRmax-rad;
2643 } 3043 }
2644 3044
>> 3045 //
2645 // Distance to phi extent 3046 // Distance to phi extent
2646 // 3047 //
2647 if ( !fFullPhiSphere ) << 3048 if (fDPhi<twopi && rho)
2648 { 3049 {
2649 if (rho>0.0) << 3050 phiC=fSPhi+fDPhi*0.5;
2650 { << 3051 cosPhiC=std::cos(phiC);
2651 if ((p.y()*cosCPhi-p.x()*sinCPhi)<=0) << 3052 sinPhiC=std::sin(phiC);
2652 { << 3053 if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0)
2653 safePhi=-(p.x()*sinSPhi-p.y()*cosS << 3054 {
2654 } << 3055 safePhi=-(p.x()*std::sin(fSPhi)-p.y()*std::cos(fSPhi));
2655 else << 3056 }
2656 { << 3057 else
2657 safePhi=(p.x()*sinEPhi-p.y()*cosEP << 3058 {
2658 } << 3059 ePhi=fSPhi+fDPhi;
2659 } << 3060 safePhi=(p.x()*std::sin(ePhi)-p.y()*std::cos(ePhi));
2660 else << 3061 }
2661 { << 3062 if (safePhi<safe) safe=safePhi;
2662 safePhi = 0.0; // Distance to both P <<
2663 } <<
2664 // Both cases above can be improved - in <<
2665 // although it may be costlier (good fo <<
2666 <<
2667 safe= std::min(safe, safePhi); <<
2668 } 3063 }
2669 3064
2670 // Distance to Theta extent <<
2671 // 3065 //
2672 if ( !fFullThetaSphere ) << 3066 // Distance to Theta extent
>> 3067 //
>> 3068 if (rad)
2673 { 3069 {
2674 if( rds > 0.0 ) << 3070 pTheta=std::acos(p.z()/rad);
>> 3071 if (pTheta<0) pTheta+=pi;
>> 3072 dTheta1=pTheta-fSTheta;
>> 3073 dTheta2=(fSTheta+fDTheta)-pTheta;
>> 3074 if (dTheta1<dTheta2)
2675 { 3075 {
2676 pTheta=std::acos(p.z()/rds); << 3076 safeTheta=rad*std::sin(dTheta1);
2677 if (pTheta<0) { pTheta+=pi; } << 3077 if (safe>safeTheta)
2678 if(fSTheta>0.) << 3078 {
2679 { dTheta1=pTheta-fSTheta;} << 3079 safe=safeTheta;
2680 if(eTheta<pi) << 3080 }
2681 { dTheta2=eTheta-pTheta;} <<
2682 <<
2683 safeTheta=rds*std::sin(std::min(dTheta <<
2684 } 3081 }
2685 else 3082 else
2686 { 3083 {
2687 safeTheta= 0.0; << 3084 safeTheta=rad*std::sin(dTheta2);
2688 // An improvement will be to return << 3085 if (safe>safeTheta)
>> 3086 {
>> 3087 safe=safeTheta;
>> 3088 }
2689 } 3089 }
2690 safe = std::min( safe, safeTheta ); <<
2691 } 3090 }
2692 3091
2693 if (safe<0.0) { safe=0; } << 3092 if (safe<0) safe=0;
2694 // An improvement to return negative answ << 3093 return safe;
2695 <<
2696 return safe; <<
2697 } 3094 }
2698 3095
2699 ///////////////////////////////////////////// 3096 //////////////////////////////////////////////////////////////////////////
2700 // 3097 //
2701 // G4EntityType << 3098 // Create a List containing the transformed vertices
>> 3099 // Ordering [0-3] -fDz cross section
>> 3100 // [4-7] +fDz cross section such that [0] is below [4],
>> 3101 // [1] below [5] etc.
>> 3102 // Note:
>> 3103 // Caller has deletion resposibility
>> 3104 // Potential improvement: For last slice, use actual ending angle
>> 3105 // to avoid rounding error problems.
>> 3106
>> 3107 G4ThreeVectorList*
>> 3108 G4Sphere::CreateRotatedVertices( const G4AffineTransform& pTransform,
>> 3109 G4int& noPolygonVertices ) const
>> 3110 {
>> 3111 G4ThreeVectorList *vertices;
>> 3112 G4ThreeVector vertex;
>> 3113 G4double meshAnglePhi,meshRMax,crossAnglePhi,
>> 3114 coscrossAnglePhi,sincrossAnglePhi,sAnglePhi;
>> 3115 G4double meshTheta,crossTheta,startTheta;
>> 3116 G4double rMaxX,rMaxY,rMinX,rMinY,rMinZ,rMaxZ;
>> 3117 G4int crossSectionPhi,noPhiCrossSections,crossSectionTheta,noThetaSections;
>> 3118
>> 3119 // Phi cross sections
>> 3120
>> 3121 noPhiCrossSections=G4int (fDPhi/kMeshAngleDefault)+1;
>> 3122
>> 3123 if (noPhiCrossSections<kMinMeshSections)
>> 3124 {
>> 3125 noPhiCrossSections=kMinMeshSections;
>> 3126 }
>> 3127 else if (noPhiCrossSections>kMaxMeshSections)
>> 3128 {
>> 3129 noPhiCrossSections=kMaxMeshSections;
>> 3130 }
>> 3131 meshAnglePhi=fDPhi/(noPhiCrossSections-1);
>> 3132
>> 3133 // If complete in phi, set start angle such that mesh will be at fRMax
>> 3134 // on the x axis. Will give better extent calculations when not rotated.
>> 3135
>> 3136 if (fDPhi==pi*2.0 && fSPhi==0)
>> 3137 {
>> 3138 sAnglePhi = -meshAnglePhi*0.5;
>> 3139 }
>> 3140 else
>> 3141 {
>> 3142 sAnglePhi=fSPhi;
>> 3143 }
2702 3144
2703 G4GeometryType G4Sphere::GetEntityType() cons << 3145 // Theta cross sections
2704 { << 3146
2705 return {"G4Sphere"}; << 3147 noThetaSections = G4int(fDTheta/kMeshAngleDefault)+1;
>> 3148
>> 3149 if (noThetaSections<kMinMeshSections)
>> 3150 {
>> 3151 noThetaSections=kMinMeshSections;
>> 3152 }
>> 3153 else if (noThetaSections>kMaxMeshSections)
>> 3154 {
>> 3155 noThetaSections=kMaxMeshSections;
>> 3156 }
>> 3157 meshTheta=fDTheta/(noThetaSections-1);
>> 3158
>> 3159 // If complete in Theta, set start angle such that mesh will be at fRMax
>> 3160 // on the z axis. Will give better extent calculations when not rotated.
>> 3161
>> 3162 if (fDTheta==pi && fSTheta==0)
>> 3163 {
>> 3164 startTheta = -meshTheta*0.5;
>> 3165 }
>> 3166 else
>> 3167 {
>> 3168 startTheta=fSTheta;
>> 3169 }
>> 3170
>> 3171 meshRMax = (meshAnglePhi >= meshTheta) ?
>> 3172 fRmax/std::cos(meshAnglePhi*0.5) : fRmax/std::cos(meshTheta*0.5);
>> 3173 G4double* cosCrossTheta = new G4double[noThetaSections];
>> 3174 G4double* sinCrossTheta = new G4double[noThetaSections];
>> 3175 vertices=new G4ThreeVectorList();
>> 3176 vertices->reserve(noPhiCrossSections*(noThetaSections*2));
>> 3177 if (vertices && cosCrossTheta && sinCrossTheta)
>> 3178 {
>> 3179 for (crossSectionPhi=0;
>> 3180 crossSectionPhi<noPhiCrossSections; crossSectionPhi++)
>> 3181 {
>> 3182 crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi;
>> 3183 coscrossAnglePhi=std::cos(crossAnglePhi);
>> 3184 sincrossAnglePhi=std::sin(crossAnglePhi);
>> 3185 for (crossSectionTheta=0;
>> 3186 crossSectionTheta<noThetaSections;crossSectionTheta++)
>> 3187 {
>> 3188 // Compute coordinates of cross section at section crossSectionPhi
>> 3189 //
>> 3190 crossTheta=startTheta+crossSectionTheta*meshTheta;
>> 3191 cosCrossTheta[crossSectionTheta]=std::cos(crossTheta);
>> 3192 sinCrossTheta[crossSectionTheta]=std::sin(crossTheta);
>> 3193
>> 3194 rMinX=fRmin*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi;
>> 3195 rMinY=fRmin*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi;
>> 3196 rMinZ=fRmin*cosCrossTheta[crossSectionTheta];
>> 3197
>> 3198 vertex=G4ThreeVector(rMinX,rMinY,rMinZ);
>> 3199 vertices->push_back(pTransform.TransformPoint(vertex));
>> 3200
>> 3201 } // Theta forward
>> 3202
>> 3203 for (crossSectionTheta=noThetaSections-1;
>> 3204 crossSectionTheta>=0; crossSectionTheta--)
>> 3205 {
>> 3206 rMaxX=meshRMax*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi;
>> 3207 rMaxY=meshRMax*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi;
>> 3208 rMaxZ=meshRMax*cosCrossTheta[crossSectionTheta];
>> 3209
>> 3210 vertex=G4ThreeVector(rMaxX,rMaxY,rMaxZ);
>> 3211 vertices->push_back(pTransform.TransformPoint(vertex));
>> 3212
>> 3213 } // Theta back
>> 3214 } // Phi
>> 3215 noPolygonVertices = noThetaSections*2 ;
>> 3216 }
>> 3217 else
>> 3218 {
>> 3219 DumpInfo();
>> 3220 G4Exception("G4Sphere::CreateRotatedVertices()",
>> 3221 "FatalError", FatalException,
>> 3222 "Error in allocation of vertices. Out of memory !");
>> 3223 }
>> 3224
>> 3225 delete[] cosCrossTheta;
>> 3226 delete[] sinCrossTheta;
>> 3227
>> 3228 return vertices;
2706 } 3229 }
2707 3230
2708 ///////////////////////////////////////////// 3231 //////////////////////////////////////////////////////////////////////////
2709 // 3232 //
2710 // Make a clone of the object << 3233 // G4EntityType
2711 // << 3234
2712 G4VSolid* G4Sphere::Clone() const << 3235 G4GeometryType G4Sphere::GetEntityType() const
2713 { 3236 {
2714 return new G4Sphere(*this); << 3237 return G4String("G4Sphere");
2715 } 3238 }
2716 3239
2717 ///////////////////////////////////////////// 3240 //////////////////////////////////////////////////////////////////////////
2718 // 3241 //
2719 // Stream object contents to an output stream 3242 // Stream object contents to an output stream
2720 3243
2721 std::ostream& G4Sphere::StreamInfo( std::ostr 3244 std::ostream& G4Sphere::StreamInfo( std::ostream& os ) const
2722 { 3245 {
2723 G4long oldprc = os.precision(16); <<
2724 os << "------------------------------------ 3246 os << "-----------------------------------------------------------\n"
2725 << " *** Dump for solid - " << GetNam 3247 << " *** Dump for solid - " << GetName() << " ***\n"
2726 << " ================================ 3248 << " ===================================================\n"
2727 << " Solid type: G4Sphere\n" 3249 << " Solid type: G4Sphere\n"
2728 << " Parameters: \n" 3250 << " Parameters: \n"
2729 << " inner radius: " << fRmin/mm << " 3251 << " inner radius: " << fRmin/mm << " mm \n"
2730 << " outer radius: " << fRmax/mm << " 3252 << " outer radius: " << fRmax/mm << " mm \n"
2731 << " starting phi of segment : " << 3253 << " starting phi of segment : " << fSPhi/degree << " degrees \n"
2732 << " delta phi of segment : " << 3254 << " delta phi of segment : " << fDPhi/degree << " degrees \n"
2733 << " starting theta of segment: " << 3255 << " starting theta of segment: " << fSTheta/degree << " degrees \n"
2734 << " delta theta of segment : " << 3256 << " delta theta of segment : " << fDTheta/degree << " degrees \n"
2735 << "------------------------------------ 3257 << "-----------------------------------------------------------\n";
2736 os.precision(oldprc); <<
2737 3258
2738 return os; 3259 return os;
2739 } 3260 }
2740 3261
2741 ///////////////////////////////////////////// 3262 ////////////////////////////////////////////////////////////////////////////////
2742 // 3263 //
2743 // Get volume << 3264 // GetPointOnSurface
2744 3265
2745 G4double G4Sphere::GetCubicVolume() << 3266 G4ThreeVector G4Sphere::GetPointOnSurface() const
2746 { 3267 {
2747 if (fCubicVolume == 0.) << 3268 G4double zRand, aOne, aTwo, aThr, aFou, aFiv, chose, phi, sinphi, cosphi;
>> 3269 G4double height1, height2, slant1, slant2, costheta, sintheta,theta,rRand;
>> 3270
>> 3271 height1 = (fRmax-fRmin)*std::cos(fSTheta);
>> 3272 height2 = (fRmax-fRmin)*std::cos(fSTheta+fDTheta);
>> 3273 slant1 = std::sqrt(sqr((fRmax - fRmin)*std::sin(fSTheta))
>> 3274 + height1*height1);
>> 3275 slant2 = std::sqrt(sqr((fRmax - fRmin)*std::sin(fSTheta+fDTheta))
>> 3276 + height2*height2);
>> 3277 rRand = RandFlat::shoot(fRmin,fRmax);
>> 3278
>> 3279 aOne = fRmax*fRmax*fDPhi*(std::cos(fSTheta)-std::cos(fSTheta+fDTheta));
>> 3280 aTwo = fRmin*fRmin*fDPhi*(std::cos(fSTheta)-std::cos(fSTheta+fDTheta));
>> 3281 aThr = fDPhi*((fRmax + fRmin)*std::sin(fSTheta))*slant1;
>> 3282 aFou = fDPhi*((fRmax + fRmin)*std::sin(fSTheta+fDTheta))*slant2;
>> 3283 aFiv = 0.5*fDTheta*(fRmax*fRmax-fRmin*fRmin);
>> 3284
>> 3285 phi = RandFlat::shoot(fSPhi, fSPhi + fDPhi);
>> 3286 cosphi = std::cos(phi);
>> 3287 sinphi = std::sin(phi);
>> 3288 theta = RandFlat::shoot(fSTheta,fSTheta+fDTheta);
>> 3289 costheta = std::cos(theta);
>> 3290 sintheta = std::sqrt(1.-sqr(costheta));
>> 3291
>> 3292 if( ((fSPhi==0) && (fDPhi==2.*pi)) || (fDPhi==2.*pi) ) {aFiv = 0;}
>> 3293 if(fSTheta == 0) {aThr=0;}
>> 3294 if(fDTheta + fSTheta == pi) {aFou = 0;}
>> 3295 if(fSTheta == 0.5*pi) {aThr = pi*(fRmax*fRmax-fRmin*fRmin);}
>> 3296 if(fSTheta + fDTheta == 0.5*pi) { aFou = pi*(fRmax*fRmax-fRmin*fRmin);}
>> 3297
>> 3298 chose = RandFlat::shoot(0.,aOne+aTwo+aThr+aFou+2.*aFiv);
>> 3299 if( (chose>=0.) && (chose<aOne) )
>> 3300 {
>> 3301 return G4ThreeVector(fRmax*sintheta*cosphi,
>> 3302 fRmax*sintheta*sinphi, fRmax*costheta);
>> 3303 }
>> 3304 else if( (chose>=aOne) && (chose<aOne+aTwo) )
>> 3305 {
>> 3306 return G4ThreeVector(fRmin*sintheta*cosphi,
>> 3307 fRmin*sintheta*sinphi, fRmin*costheta);
>> 3308 }
>> 3309 else if( (chose>=aOne+aTwo) && (chose<aOne+aTwo+aThr) )
>> 3310 {
>> 3311 if (fSTheta != 0.5*pi)
>> 3312 {
>> 3313 zRand = RandFlat::shoot(fRmin*std::cos(fSTheta),fRmax*std::cos(fSTheta));
>> 3314 return G4ThreeVector(std::tan(fSTheta)*zRand*cosphi,
>> 3315 std::tan(fSTheta)*zRand*sinphi,zRand);
>> 3316 }
>> 3317 else
>> 3318 {
>> 3319 return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.);
>> 3320 }
>> 3321 }
>> 3322 else if( (chose>=aOne+aTwo+aThr) && (chose<aOne+aTwo+aThr+aFou) )
2748 { 3323 {
2749 G4double RRR = fRmax*fRmax*fRmax; << 3324 if(fSTheta + fDTheta != 0.5*pi)
2750 G4double rrr = fRmin*fRmin*fRmin; << 3325 {
2751 fCubicVolume = fDPhi*(cosSTheta - cosEThe << 3326 zRand = RandFlat::shoot(fRmin*std::cos(fSTheta+fDTheta),
>> 3327 fRmax*std::cos(fSTheta+fDTheta));
>> 3328 return G4ThreeVector (std::tan(fSTheta+fDTheta)*zRand*cosphi,
>> 3329 std::tan(fSTheta+fDTheta)*zRand*sinphi,zRand);
>> 3330 }
>> 3331 else
>> 3332 {
>> 3333 return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.);
>> 3334 }
2752 } 3335 }
2753 return fCubicVolume; << 3336 else if( (chose>=aOne+aTwo+aThr+aFou) && (chose<aOne+aTwo+aThr+aFou+aFiv) )
2754 } <<
2755 <<
2756 ///////////////////////////////////////////// <<
2757 // <<
2758 // Get surface area <<
2759 <<
2760 G4double G4Sphere::GetSurfaceArea() <<
2761 { <<
2762 if (fSurfaceArea == 0.) <<
2763 { 3337 {
2764 G4double RR = fRmax*fRmax; << 3338 return G4ThreeVector(rRand*sintheta*std::cos(fSPhi),
2765 G4double rr = fRmin*fRmin; << 3339 rRand*sintheta*std::sin(fSPhi),rRand*costheta);
2766 fSurfaceArea = fDPhi*(RR + rr)*(cosSTheta <<
2767 if (!fFullPhiSphere) fSurfaceArea += f <<
2768 if (fSTheta > 0) fSurfaceArea += 0 <<
2769 if (eTheta < CLHEP::pi) fSurfaceArea += 0 <<
2770 } 3340 }
2771 return fSurfaceArea; << 3341 else
2772 } << 3342 {
2773 << 3343 return G4ThreeVector(rRand*sintheta*std::cos(fSPhi+fDPhi),
2774 ///////////////////////////////////////////// << 3344 rRand*sintheta*std::sin(fSPhi+fDPhi),rRand*costheta);
2775 // <<
2776 // Return a point randomly and uniformly sele <<
2777 <<
2778 G4ThreeVector G4Sphere::GetPointOnSurface() c <<
2779 { <<
2780 G4double RR = fRmax*fRmax; <<
2781 G4double rr = fRmin*fRmin; <<
2782 <<
2783 // Find surface areas <<
2784 // <<
2785 G4double aInner = fDPhi*rr*(cosSTheta - c <<
2786 G4double aOuter = fDPhi*RR*(cosSTheta - c <<
2787 G4double aPhi = (!fFullPhiSphere) ? fDT <<
2788 G4double aSTheta = (fSTheta > 0) ? 0.5*fDP <<
2789 G4double aETheta = (eTheta < pi) ? 0.5*fDP <<
2790 G4double aTotal = aInner + aOuter + aPhi <<
2791 <<
2792 // Select surface and generate a point <<
2793 // <<
2794 G4double select = aTotal*G4QuickRand(); <<
2795 G4double u = G4QuickRand(); <<
2796 G4double v = G4QuickRand(); <<
2797 if (select < aInner + aOuter) // <<
2798 { <<
2799 G4double r = (select < aInner) ? fRmin <<
2800 G4double z = cosSTheta + (cosETheta - c <<
2801 G4double rho = std::sqrt(1. - z*z); <<
2802 G4double phi = fDPhi*v + fSPhi; <<
2803 return { r*rho*std::cos(phi), r*rho*std:: <<
2804 } <<
2805 else if (select < aInner + aOuter + aPhi) / <<
2806 { <<
2807 G4double phi = (select < aInner + aOute <<
2808 G4double r = std::sqrt((RR - rr)*u + <<
2809 G4double theta = fDTheta*v + fSTheta; <<
2810 G4double z = std::cos(theta); <<
2811 G4double rho = std::sin(theta); <<
2812 return { r*rho*std::cos(phi), r*rho*std:: <<
2813 } <<
2814 else // <<
2815 { <<
2816 G4double theta = (select < aTotal - aEThe <<
2817 G4double r = std::sqrt((RR - rr)*u + <<
2818 G4double phi = fDPhi*v + fSPhi; <<
2819 G4double z = std::cos(theta); <<
2820 G4double rho = std::sin(theta); <<
2821 return { r*rho*std::cos(phi), r*rho*std:: <<
2822 } 3345 }
2823 } 3346 }
2824 3347
2825 ///////////////////////////////////////////// 3348 /////////////////////////////////////////////////////////////////////////////
2826 // 3349 //
2827 // Methods for visualisation 3350 // Methods for visualisation
2828 3351
2829 G4VisExtent G4Sphere::GetExtent() const 3352 G4VisExtent G4Sphere::GetExtent() const
2830 { 3353 {
2831 return { -fRmax, fRmax,-fRmax, fRmax,-fRmax << 3354 return G4VisExtent(-fRmax, fRmax,-fRmax, fRmax,-fRmax, fRmax );
2832 } 3355 }
2833 3356
2834 3357
2835 void G4Sphere::DescribeYourselfTo ( G4VGraphi 3358 void G4Sphere::DescribeYourselfTo ( G4VGraphicsScene& scene ) const
2836 { 3359 {
2837 scene.AddSolid (*this); 3360 scene.AddSolid (*this);
2838 } 3361 }
2839 3362
2840 G4Polyhedron* G4Sphere::CreatePolyhedron () c 3363 G4Polyhedron* G4Sphere::CreatePolyhedron () const
2841 { 3364 {
2842 return new G4PolyhedronSphere (fRmin, fRmax 3365 return new G4PolyhedronSphere (fRmin, fRmax, fSPhi, fDPhi, fSTheta, fDTheta);
2843 } 3366 }
2844 3367
2845 #endif << 3368 G4NURBS* G4Sphere::CreateNURBS () const
>> 3369 {
>> 3370 return new G4NURBSbox (fRmax, fRmax, fRmax); // Box for now!!!
>> 3371 }
2846 3372