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25 // 25 //
>> 26 // $Id: G4Ellipsoid.cc 81641 2014-06-04 09:11:38Z gcosmo $
>> 27 //
26 // class G4Ellipsoid 28 // class G4Ellipsoid
27 // 29 //
28 // Implementation of G4Ellipsoid class << 30 // Implementation for G4Ellipsoid class
>> 31 //
>> 32 // History:
>> 33 //
>> 34 // 10.11.99 G.Horton-Smith -- first writing, based on G4Sphere class
>> 35 // 25.02.05 G.Guerrieri -- Modified for future Geant4 release
29 // 36 //
30 // 10.11.99 G.Horton-Smith: first writing, bas <<
31 // 25.02.05 G.Guerrieri: Revised <<
32 // 15.12.19 E.Tcherniaev: Complete revision <<
33 // ------------------------------------------- 37 // --------------------------------------------------------------------
34 38
35 #include "G4Ellipsoid.hh" <<
36 <<
37 #if !(defined(G4GEOM_USE_UELLIPSOID) && define <<
38 <<
39 #include "globals.hh" 39 #include "globals.hh"
40 40
>> 41 #include "G4Ellipsoid.hh"
>> 42
41 #include "G4VoxelLimits.hh" 43 #include "G4VoxelLimits.hh"
42 #include "G4AffineTransform.hh" 44 #include "G4AffineTransform.hh"
43 #include "G4GeometryTolerance.hh" 45 #include "G4GeometryTolerance.hh"
44 #include "G4BoundingEnvelope.hh" << 46
45 #include "G4RandomTools.hh" << 47 #include "meshdefs.hh"
46 #include "G4QuickRand.hh" << 48 #include "Randomize.hh"
47 49
48 #include "G4VPVParameterisation.hh" 50 #include "G4VPVParameterisation.hh"
49 51
50 #include "G4VGraphicsScene.hh" 52 #include "G4VGraphicsScene.hh"
51 #include "G4VisExtent.hh" 53 #include "G4VisExtent.hh"
52 54
53 #include "G4AutoLock.hh" <<
54 <<
55 namespace <<
56 { <<
57 G4Mutex polyhedronMutex = G4MUTEX_INITIALIZ <<
58 G4Mutex lateralareaMutex = G4MUTEX_INITIALIZ <<
59 } <<
60 <<
61 using namespace CLHEP; 55 using namespace CLHEP;
62 56
63 ////////////////////////////////////////////// << 57 ///////////////////////////////////////////////////////////////////////////////
64 // 58 //
65 // Constructor << 59 // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI
>> 60 // - note if pDPhi>2PI then reset to 2PI
66 61
67 G4Ellipsoid::G4Ellipsoid(const G4String& name, << 62 G4Ellipsoid::G4Ellipsoid(const G4String& pName,
68 G4double xSemiA << 63 G4double pxSemiAxis,
69 G4double ySemiA << 64 G4double pySemiAxis,
70 G4double zSemiA << 65 G4double pzSemiAxis,
71 G4double zBotto << 66 G4double pzBottomCut,
72 G4double zTopCu << 67 G4double pzTopCut)
73 : G4VSolid(name), fDx(xSemiAxis), fDy(ySemiA << 68 : G4VSolid(pName), fpPolyhedron(0), fCubicVolume(0.), fSurfaceArea(0.),
74 fZBottomCut(zBottomCut), fZTopCut(zTopCut) << 69 zBottomCut(0.), zTopCut(0.)
75 { << 70 {
76 CheckParameters(); << 71 // note: for users that want to use the full ellipsoid it is useful
>> 72 // to include a default for the cuts
>> 73
>> 74 kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
>> 75
>> 76 halfCarTolerance = kCarTolerance*0.5;
>> 77 halfRadTolerance = kRadTolerance*0.5;
>> 78
>> 79 // Check Semi-Axis
>> 80 if ( (pxSemiAxis<=0.) || (pySemiAxis<=0.) || (pzSemiAxis<=0.) )
>> 81 {
>> 82 std::ostringstream message;
>> 83 message << "Invalid semi-axis - " << GetName();
>> 84 G4Exception("G4Ellipsoid::G4Ellipsoid()", "GeomSolids0002",
>> 85 FatalErrorInArgument, message);
>> 86 }
>> 87 SetSemiAxis(pxSemiAxis, pySemiAxis, pzSemiAxis);
>> 88
>> 89 if ( pzBottomCut == 0 && pzTopCut == 0 )
>> 90 {
>> 91 SetZCuts(-pzSemiAxis, pzSemiAxis);
>> 92 }
>> 93 else if ( (pzBottomCut < pzSemiAxis) && (pzTopCut > -pzSemiAxis)
>> 94 && (pzBottomCut < pzTopCut) )
>> 95 {
>> 96 SetZCuts(pzBottomCut, pzTopCut);
>> 97 }
>> 98 else
>> 99 {
>> 100 std::ostringstream message;
>> 101 message << "Invalid z-coordinate for cutting plane - " << GetName();
>> 102 G4Exception("G4Ellipsoid::G4Ellipsoid()", "GeomSolids0002",
>> 103 FatalErrorInArgument, message);
>> 104 }
77 } 105 }
78 106
79 ////////////////////////////////////////////// << 107 ///////////////////////////////////////////////////////////////////////////////
80 // 108 //
81 // Fake default constructor - sets only member 109 // Fake default constructor - sets only member data and allocates memory
82 // for usage restri << 110 // for usage restricted to object persistency.
83 << 111 //
84 G4Ellipsoid::G4Ellipsoid( __void__& a ) 112 G4Ellipsoid::G4Ellipsoid( __void__& a )
85 : G4VSolid(a), fDx(0.), fDy(0.), fDz(0.), fZ << 113 : G4VSolid(a), fpPolyhedron(0), kRadTolerance(0.),
>> 114 halfCarTolerance(0.), halfRadTolerance(0.), fCubicVolume(0.),
>> 115 fSurfaceArea(0.), xSemiAxis(0.), ySemiAxis(0.), zSemiAxis(0.),
>> 116 semiAxisMax(0.), zBottomCut(0.), zTopCut(0.)
86 { 117 {
87 } 118 }
88 119
89 ////////////////////////////////////////////// << 120 ///////////////////////////////////////////////////////////////////////////////
90 // 121 //
91 // Destructor 122 // Destructor
92 123
93 G4Ellipsoid::~G4Ellipsoid() 124 G4Ellipsoid::~G4Ellipsoid()
94 { 125 {
95 delete fpPolyhedron; fpPolyhedron = nullptr; <<
96 } 126 }
97 127
98 ////////////////////////////////////////////// << 128 ///////////////////////////////////////////////////////////////////////////////
99 // 129 //
100 // Copy constructor 130 // Copy constructor
101 131
102 G4Ellipsoid::G4Ellipsoid(const G4Ellipsoid& rh 132 G4Ellipsoid::G4Ellipsoid(const G4Ellipsoid& rhs)
103 : G4VSolid(rhs), 133 : G4VSolid(rhs),
104 fDx(rhs.fDx), fDy(rhs.fDy), fDz(rhs.fDz), << 134 fpPolyhedron(0), kRadTolerance(rhs.kRadTolerance),
105 fZBottomCut(rhs.fZBottomCut), fZTopCut(rhs. << 135 halfCarTolerance(rhs.halfCarTolerance),
106 halfTolerance(rhs.halfTolerance), << 136 halfRadTolerance(rhs.halfRadTolerance),
107 fXmax(rhs.fXmax), fYmax(rhs.fYmax), << 137 fCubicVolume(rhs.fCubicVolume), fSurfaceArea(rhs.fSurfaceArea),
108 fRsph(rhs.fRsph), fR(rhs.fR), << 138 xSemiAxis(rhs.xSemiAxis), ySemiAxis(rhs.ySemiAxis),
109 fSx(rhs.fSx), fSy(rhs.fSy), fSz(rhs.fSz), << 139 zSemiAxis(rhs.zSemiAxis), semiAxisMax(rhs.semiAxisMax),
110 fZMidCut(rhs.fZMidCut), fZDimCut(rhs.fZDimC << 140 zBottomCut(rhs.zBottomCut), zTopCut(rhs.zTopCut)
111 fQ1(rhs.fQ1), fQ2(rhs.fQ2), <<
112 fCubicVolume(rhs.fCubicVolume), <<
113 fSurfaceArea(rhs.fSurfaceArea), <<
114 fLateralArea(rhs.fLateralArea) <<
115 { 141 {
>> 142 fpPolyhedron = GetPolyhedron();
116 } 143 }
117 144
118 ////////////////////////////////////////////// << 145 ///////////////////////////////////////////////////////////////////////////////
119 // 146 //
120 // Assignment operator 147 // Assignment operator
121 148
122 G4Ellipsoid& G4Ellipsoid::operator = (const G4 << 149 G4Ellipsoid& G4Ellipsoid::operator = (const G4Ellipsoid& rhs)
123 { 150 {
124 // Check assignment to self 151 // Check assignment to self
125 // 152 //
126 if (this == &rhs) { return *this; } 153 if (this == &rhs) { return *this; }
127 154
128 // Copy base class data 155 // Copy base class data
129 // 156 //
130 G4VSolid::operator=(rhs); 157 G4VSolid::operator=(rhs);
131 158
132 // Copy data 159 // Copy data
133 // 160 //
134 fDx = rhs.fDx; << 161 kRadTolerance = rhs.kRadTolerance;
135 fDy = rhs.fDy; << 162 halfCarTolerance = rhs.halfCarTolerance;
136 fDz = rhs.fDz; << 163 halfRadTolerance = rhs.halfRadTolerance;
137 fZBottomCut = rhs.fZBottomCut; << 164 fCubicVolume = rhs.fCubicVolume; fSurfaceArea = rhs.fSurfaceArea;
138 fZTopCut = rhs.fZTopCut; << 165 xSemiAxis = rhs.xSemiAxis; ySemiAxis = rhs.ySemiAxis;
139 << 166 zSemiAxis = rhs.zSemiAxis; semiAxisMax = rhs.semiAxisMax;
140 halfTolerance = rhs.halfTolerance; << 167 zBottomCut = rhs.zBottomCut; zTopCut = rhs.zTopCut;
141 fXmax = rhs.fXmax; << 168 delete fpPolyhedron; fpPolyhedron = 0; fpPolyhedron = GetPolyhedron();
142 fYmax = rhs.fYmax; <<
143 fRsph = rhs.fRsph; <<
144 fR = rhs.fR; <<
145 fSx = rhs.fSx; <<
146 fSy = rhs.fSy; <<
147 fSz = rhs.fSz; <<
148 fZMidCut = rhs.fZMidCut; <<
149 fZDimCut = rhs.fZDimCut; <<
150 fQ1 = rhs.fQ1; <<
151 fQ2 = rhs.fQ2; <<
152 <<
153 fCubicVolume = rhs.fCubicVolume; <<
154 fSurfaceArea = rhs.fSurfaceArea; <<
155 fLateralArea = rhs.fLateralArea; <<
156 <<
157 fRebuildPolyhedron = false; <<
158 delete fpPolyhedron; fpPolyhedron = nullptr <<
159 169
160 return *this; 170 return *this;
161 } 171 }
162 172
163 ////////////////////////////////////////////// << 173 ////////////////////////////////////////////////////////////////////////
164 // <<
165 // Check parameters and make precalculation <<
166 <<
167 void G4Ellipsoid::CheckParameters() <<
168 { <<
169 halfTolerance = 0.5 * kCarTolerance; // half <<
170 G4double dmin = 2. * kCarTolerance; <<
171 <<
172 // Check dimensions <<
173 // <<
174 if (fDx < dmin || fDy < dmin || fDz < dmin) <<
175 { <<
176 std::ostringstream message; <<
177 message << "Invalid (too small or negative <<
178 << GetName() << "\n" <<
179 << " semi-axis x: " << fDx << "\n <<
180 << " semi-axis y: " << fDy << "\n <<
181 << " semi-axis z: " << fDz; <<
182 G4Exception("G4Ellipsoid::CheckParameters( <<
183 FatalException, message); <<
184 } <<
185 G4double A = fDx; <<
186 G4double B = fDy; <<
187 G4double C = fDz; <<
188 <<
189 // Check cuts <<
190 // <<
191 if (fZBottomCut == 0. && fZTopCut == 0.) <<
192 { <<
193 fZBottomCut = -C; <<
194 fZTopCut = C; <<
195 } <<
196 if (fZBottomCut >= C || fZTopCut <= -C || fZ <<
197 { <<
198 std::ostringstream message; <<
199 message << "Invalid Z cuts for Solid: " <<
200 << GetName() << "\n" <<
201 << " bottom cut: " << fZBottomCut <<
202 << " top cut: " << fZTopCut; <<
203 G4Exception("G4Ellipsoid::CheckParameters( <<
204 FatalException, message); <<
205 <<
206 } <<
207 fZBottomCut = std::max(fZBottomCut, -C); <<
208 fZTopCut = std::min(fZTopCut, C); <<
209 <<
210 // Set extent in x and y <<
211 fXmax = A; <<
212 fYmax = B; <<
213 if (fZBottomCut > 0.) <<
214 { <<
215 G4double ratio = fZBottomCut / C; <<
216 G4double scale = std::sqrt((1. - ratio) * <<
217 fXmax *= scale; <<
218 fYmax *= scale; <<
219 } <<
220 if (fZTopCut < 0.) <<
221 { <<
222 G4double ratio = fZTopCut / C; <<
223 G4double scale = std::sqrt((1. - ratio) * <<
224 fXmax *= scale; <<
225 fYmax *= scale; <<
226 } <<
227 <<
228 // Set scale factors <<
229 fRsph = std::max(std::max(A, B), C); // boun <<
230 fR = std::min(std::min(A, B), C); // radi <<
231 fSx = fR / A; // X scale factor <<
232 fSy = fR / B; // Y scale factor <<
233 fSz = fR / C; // Z scale factor <<
234 <<
235 // Scaled cuts <<
236 fZMidCut = 0.5 * (fZTopCut + fZBottomCut) * <<
237 fZDimCut = 0.5 * (fZTopCut - fZBottomCut) * <<
238 <<
239 // Coefficients for approximation of distanc <<
240 fQ1 = 0.5 / fR; <<
241 fQ2 = 0.5 * fR + halfTolerance * halfToleran <<
242 <<
243 fCubicVolume = 0.; // volume <<
244 fSurfaceArea = 0.; // surface area <<
245 fLateralArea = 0.; // lateral surface area <<
246 } <<
247 <<
248 ////////////////////////////////////////////// <<
249 // 174 //
250 // Dispatch to parameterisation for replicatio 175 // Dispatch to parameterisation for replication mechanism dimension
251 // computation & modification << 176 // computation & modification.
252 177
253 void G4Ellipsoid::ComputeDimensions(G4VPVParam 178 void G4Ellipsoid::ComputeDimensions(G4VPVParameterisation* p,
254 const G4in 179 const G4int n,
255 const G4VP 180 const G4VPhysicalVolume* pRep)
256 { 181 {
257 p->ComputeDimensions(*this,n,pRep); 182 p->ComputeDimensions(*this,n,pRep);
258 } 183 }
259 184
260 ////////////////////////////////////////////// << 185 ///////////////////////////////////////////////////////////////////////////////
261 // 186 //
262 // Get bounding box << 187 // Calculate extent under transform and specified limit
263 <<
264 void G4Ellipsoid::BoundingLimits(G4ThreeVector <<
265 G4ThreeVector <<
266 { <<
267 pMin.set(-fXmax,-fYmax, fZBottomCut); <<
268 pMax.set( fXmax, fYmax, fZTopCut); <<
269 } <<
270 <<
271 ////////////////////////////////////////////// <<
272 // <<
273 // Calculate extent under transform and specif <<
274 188
275 G4bool 189 G4bool
276 G4Ellipsoid::CalculateExtent(const EAxis pAxis 190 G4Ellipsoid::CalculateExtent(const EAxis pAxis,
277 const G4VoxelLimi 191 const G4VoxelLimits& pVoxelLimit,
278 const G4AffineTra 192 const G4AffineTransform& pTransform,
279 G4double& p 193 G4double& pMin, G4double& pMax) const
280 { 194 {
281 G4ThreeVector bmin, bmax; << 195 if (!pTransform.IsRotated())
>> 196 {
>> 197 // Special case handling for unrotated solid ellipsoid
>> 198 // Compute x/y/z mins and maxs for bounding box respecting limits,
>> 199 // with early returns if outside limits. Then switch() on pAxis,
>> 200 // and compute exact x and y limit for x/y case
>> 201
>> 202 G4double xoffset,xMin,xMax;
>> 203 G4double yoffset,yMin,yMax;
>> 204 G4double zoffset,zMin,zMax;
>> 205
>> 206 G4double maxDiff,newMin,newMax;
>> 207 G4double xoff,yoff;
>> 208
>> 209 xoffset=pTransform.NetTranslation().x();
>> 210 xMin=xoffset - xSemiAxis;
>> 211 xMax=xoffset + xSemiAxis;
>> 212 if (pVoxelLimit.IsXLimited())
>> 213 {
>> 214 if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance)
>> 215 || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) )
>> 216 {
>> 217 return false;
>> 218 }
>> 219 else
>> 220 {
>> 221 if (xMin<pVoxelLimit.GetMinXExtent())
>> 222 {
>> 223 xMin=pVoxelLimit.GetMinXExtent();
>> 224 }
>> 225 if (xMax>pVoxelLimit.GetMaxXExtent())
>> 226 {
>> 227 xMax=pVoxelLimit.GetMaxXExtent();
>> 228 }
>> 229 }
>> 230 }
>> 231
>> 232 yoffset=pTransform.NetTranslation().y();
>> 233 yMin=yoffset - ySemiAxis;
>> 234 yMax=yoffset + ySemiAxis;
>> 235 if (pVoxelLimit.IsYLimited())
>> 236 {
>> 237 if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance)
>> 238 || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) )
>> 239 {
>> 240 return false;
>> 241 }
>> 242 else
>> 243 {
>> 244 if (yMin<pVoxelLimit.GetMinYExtent())
>> 245 {
>> 246 yMin=pVoxelLimit.GetMinYExtent();
>> 247 }
>> 248 if (yMax>pVoxelLimit.GetMaxYExtent())
>> 249 {
>> 250 yMax=pVoxelLimit.GetMaxYExtent();
>> 251 }
>> 252 }
>> 253 }
282 254
283 // Get bounding box << 255 zoffset=pTransform.NetTranslation().z();
284 BoundingLimits(bmin,bmax); << 256 zMin=zoffset + (-zSemiAxis > zBottomCut ? -zSemiAxis : zBottomCut);
>> 257 zMax=zoffset + ( zSemiAxis < zTopCut ? zSemiAxis : zTopCut);
>> 258 if (pVoxelLimit.IsZLimited())
>> 259 {
>> 260 if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance)
>> 261 || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) )
>> 262 {
>> 263 return false;
>> 264 }
>> 265 else
>> 266 {
>> 267 if (zMin<pVoxelLimit.GetMinZExtent())
>> 268 {
>> 269 zMin=pVoxelLimit.GetMinZExtent();
>> 270 }
>> 271 if (zMax>pVoxelLimit.GetMaxZExtent())
>> 272 {
>> 273 zMax=pVoxelLimit.GetMaxZExtent();
>> 274 }
>> 275 }
>> 276 }
285 277
286 // Find extent << 278 // if here, then known to cut bounding box around ellipsoid
287 G4BoundingEnvelope bbox(bmin,bmax); << 279 //
288 return bbox.CalculateExtent(pAxis,pVoxelLimi << 280 xoff = (xoffset < xMin) ? (xMin-xoffset)
289 } << 281 : (xoffset > xMax) ? (xoffset-xMax) : 0.0;
>> 282 yoff = (yoffset < yMin) ? (yMin-yoffset)
>> 283 : (yoffset > yMax) ? (yoffset-yMax) : 0.0;
>> 284
>> 285 // detailed calculations
>> 286 // NOTE: does not use X or Y offsets to adjust Z range,
>> 287 // and does not use Z offset to adjust X or Y range,
>> 288 // which is consistent with G4Sphere::CalculateExtent behavior
>> 289 //
>> 290 switch (pAxis)
>> 291 {
>> 292 case kXAxis:
>> 293 if (yoff==0.)
>> 294 {
>> 295 // YZ limits cross max/min x => no change
>> 296 //
>> 297 pMin=xMin;
>> 298 pMax=xMax;
>> 299 }
>> 300 else
>> 301 {
>> 302 // YZ limits don't cross max/min x => compute max delta x,
>> 303 // hence new mins/maxs
>> 304 //
>> 305 maxDiff= 1.0-sqr(yoff/ySemiAxis);
>> 306 if (maxDiff < 0.0) { return false; }
>> 307 maxDiff= xSemiAxis * std::sqrt(maxDiff);
>> 308 newMin=xoffset-maxDiff;
>> 309 newMax=xoffset+maxDiff;
>> 310 pMin=(newMin<xMin) ? xMin : newMin;
>> 311 pMax=(newMax>xMax) ? xMax : newMax;
>> 312 }
>> 313 break;
>> 314 case kYAxis:
>> 315 if (xoff==0.)
>> 316 {
>> 317 // XZ limits cross max/min y => no change
>> 318 //
>> 319 pMin=yMin;
>> 320 pMax=yMax;
>> 321 }
>> 322 else
>> 323 {
>> 324 // XZ limits don't cross max/min y => compute max delta y,
>> 325 // hence new mins/maxs
>> 326 //
>> 327 maxDiff= 1.0-sqr(xoff/xSemiAxis);
>> 328 if (maxDiff < 0.0) { return false; }
>> 329 maxDiff= ySemiAxis * std::sqrt(maxDiff);
>> 330 newMin=yoffset-maxDiff;
>> 331 newMax=yoffset+maxDiff;
>> 332 pMin=(newMin<yMin) ? yMin : newMin;
>> 333 pMax=(newMax>yMax) ? yMax : newMax;
>> 334 }
>> 335 break;
>> 336 case kZAxis:
>> 337 pMin=zMin;
>> 338 pMax=zMax;
>> 339 break;
>> 340 default:
>> 341 break;
>> 342 }
>> 343
>> 344 pMin-=kCarTolerance;
>> 345 pMax+=kCarTolerance;
>> 346 return true;
>> 347 }
>> 348 else // not rotated
>> 349 {
>> 350 G4int i,j,noEntries,noBetweenSections;
>> 351 G4bool existsAfterClip=false;
290 352
291 ////////////////////////////////////////////// << 353 // Calculate rotated vertex coordinates
292 // <<
293 // Return position of point: inside/outside/on <<
294 354
295 EInside G4Ellipsoid::Inside(const G4ThreeVecto << 355 G4int noPolygonVertices=0;
296 { << 356 G4ThreeVectorList* vertices =
297 G4double x = p.x() * fSx; << 357 CreateRotatedVertices(pTransform,noPolygonVertices);
298 G4double y = p.y() * fSy; << 358
299 G4double z = p.z() * fSz; << 359 pMin=+kInfinity;
300 G4double rr = x * x + y * y + z * z; << 360 pMax=-kInfinity;
301 G4double distZ = std::abs(z - fZMidCut) - fZ << 361
302 G4double distR = fQ1 * rr - fQ2; << 362 noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections
303 G4double dist = std::max(distZ, distR); << 363 noBetweenSections=noEntries-noPolygonVertices;
>> 364
>> 365 G4ThreeVectorList ThetaPolygon;
>> 366 for (i=0;i<noEntries;i+=noPolygonVertices)
>> 367 {
>> 368 for(j=0;j<(noPolygonVertices/2)-1;j++)
>> 369 {
>> 370 ThetaPolygon.push_back((*vertices)[i+j]);
>> 371 ThetaPolygon.push_back((*vertices)[i+j+1]);
>> 372 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]);
>> 373 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]);
>> 374 CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax);
>> 375 ThetaPolygon.clear();
>> 376 }
>> 377 }
>> 378 for (i=0;i<noBetweenSections;i+=noPolygonVertices)
>> 379 {
>> 380 for(j=0;j<noPolygonVertices-1;j++)
>> 381 {
>> 382 ThetaPolygon.push_back((*vertices)[i+j]);
>> 383 ThetaPolygon.push_back((*vertices)[i+j+1]);
>> 384 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]);
>> 385 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]);
>> 386 CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax);
>> 387 ThetaPolygon.clear();
>> 388 }
>> 389 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]);
>> 390 ThetaPolygon.push_back((*vertices)[i]);
>> 391 ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]);
>> 392 ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]);
>> 393 CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax);
>> 394 ThetaPolygon.clear();
>> 395 }
>> 396 if ( (pMin!=kInfinity) || (pMax!=-kInfinity) )
>> 397 {
>> 398 existsAfterClip=true;
>> 399
>> 400 // Add 2*tolerance to avoid precision troubles
>> 401 //
>> 402 pMin-=kCarTolerance;
>> 403 pMax+=kCarTolerance;
304 404
305 if (dist > halfTolerance) return kOutside; << 405 }
306 return (dist > -halfTolerance) ? kSurface : << 406 else
>> 407 {
>> 408 // Check for case where completely enveloping clipping volume
>> 409 // If point inside then we are confident that the solid completely
>> 410 // envelopes the clipping volume. Hence set min/max extents according
>> 411 // to clipping volume extents along the specified axis.
>> 412 //
>> 413 G4ThreeVector
>> 414 clipCentre((pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5,
>> 415 (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5,
>> 416 (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5);
>> 417
>> 418 if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside)
>> 419 {
>> 420 existsAfterClip=true;
>> 421 pMin=pVoxelLimit.GetMinExtent(pAxis);
>> 422 pMax=pVoxelLimit.GetMaxExtent(pAxis);
>> 423 }
>> 424 }
>> 425 delete vertices;
>> 426 return existsAfterClip;
>> 427 }
307 } 428 }
308 429
309 ////////////////////////////////////////////// << 430 ///////////////////////////////////////////////////////////////////////////////
310 // 431 //
311 // Return unit normal to surface at p << 432 // Return whether point inside/outside/on surface
>> 433 // Split into radius, phi, theta checks
>> 434 // Each check modifies `in', or returns as approprate
312 435
313 G4ThreeVector G4Ellipsoid::SurfaceNormal( cons << 436 EInside G4Ellipsoid::Inside(const G4ThreeVector& p) const
314 { 437 {
315 G4ThreeVector norm(0., 0., 0.); << 438 G4double rad2oo, // outside surface outer tolerance
316 G4int nsurf = 0; << 439 rad2oi; // outside surface inner tolerance
>> 440 EInside in;
317 441
318 // Check cuts << 442 // check this side of z cut first, because that's fast
319 G4double x = p.x() * fSx; << 443 //
320 G4double y = p.y() * fSy; << 444 if (p.z() < zBottomCut-halfRadTolerance) { return in=kOutside; }
321 G4double z = p.z() * fSz; << 445 if (p.z() > zTopCut+halfRadTolerance) { return in=kOutside; }
322 G4double distZ = std::abs(z - fZMidCut) - fZ <<
323 if (std::abs(distZ) <= halfTolerance) <<
324 { <<
325 norm.setZ(std::copysign(1., z - fZMidCut)) <<
326 ++nsurf; <<
327 } <<
328 446
329 // Check lateral surface << 447 rad2oo= sqr(p.x()/(xSemiAxis+halfRadTolerance))
330 G4double distR = fQ1*(x*x + y*y + z*z) - fQ2 << 448 + sqr(p.y()/(ySemiAxis+halfRadTolerance))
331 if (std::abs(distR) <= halfTolerance) << 449 + sqr(p.z()/(zSemiAxis+halfRadTolerance));
>> 450
>> 451 if (rad2oo > 1.0) { return in=kOutside; }
>> 452
>> 453 rad2oi= sqr(p.x()*(1.0+halfRadTolerance/xSemiAxis)/xSemiAxis)
>> 454 + sqr(p.y()*(1.0+halfRadTolerance/ySemiAxis)/ySemiAxis)
>> 455 + sqr(p.z()*(1.0+halfRadTolerance/zSemiAxis)/zSemiAxis);
>> 456
>> 457 // Check radial surfaces
>> 458 // sets `in' (already checked for rad2oo > 1.0)
>> 459 //
>> 460 if (rad2oi < 1.0)
332 { 461 {
333 // normal = (p.x/a^2, p.y/b^2, p.z/c^2) << 462 in = ( (p.z() < zBottomCut+halfRadTolerance)
334 norm += G4ThreeVector(x*fSx, y*fSy, z*fSz) << 463 || (p.z() > zTopCut-halfRadTolerance) ) ? kSurface : kInside;
335 ++nsurf; << 464 if ( rad2oi > 1.0-halfRadTolerance ) { in=kSurface; }
336 } 465 }
337 << 466 else
338 // Return normal <<
339 if (nsurf == 1) return norm; <<
340 else if (nsurf > 1) return norm.unit(); // e <<
341 else <<
342 { 467 {
343 #ifdef G4SPECSDEBUG << 468 in = kSurface;
344 std::ostringstream message; <<
345 G4long oldprc = message.precision(16); <<
346 message << "Point p is not on surface (!?) <<
347 << GetName() << "\n"; <<
348 message << "Position:\n"; <<
349 message << " p.x() = " << p.x()/mm << " <<
350 message << " p.y() = " << p.y()/mm << " <<
351 message << " p.z() = " << p.z()/mm << " <<
352 G4cout.precision(oldprc); <<
353 G4Exception("G4Ellipsoid::SurfaceNormal(p) <<
354 JustWarning, message ); <<
355 DumpInfo(); <<
356 #endif <<
357 return ApproxSurfaceNormal(p); <<
358 } 469 }
>> 470 return in;
>> 471
359 } 472 }
360 473
361 ////////////////////////////////////////////// << 474 ///////////////////////////////////////////////////////////////////////////////
362 // 475 //
363 // Find surface nearest to point and return co << 476 // Return unit normal of surface closest to p not protected against p=0
364 // This method normally should not be called. <<
365 477
366 G4ThreeVector G4Ellipsoid::ApproxSurfaceNormal << 478 G4ThreeVector G4Ellipsoid::SurfaceNormal( const G4ThreeVector& p) const
367 { 479 {
368 G4double x = p.x() * fSx; << 480 G4double distR, distZBottom, distZTop;
369 G4double y = p.y() * fSy; << 481
370 G4double z = p.z() * fSz; << 482 // normal vector with special magnitude: parallel to normal, units 1/length
371 G4double rr = x * x + y * y + z * z; << 483 // norm*p == 1.0 if on surface, >1.0 if outside, <1.0 if inside
372 G4double distZ = std::abs(z - fZMidCut) - fZ << 484 //
373 G4double distR = std::sqrt(rr) - fR; << 485 G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis),
374 if (distR > distZ && rr > 0.) // distR > di << 486 p.y()/(ySemiAxis*ySemiAxis),
375 return G4ThreeVector(x*fSx, y*fSy, z*fSz). << 487 p.z()/(zSemiAxis*zSemiAxis));
376 else << 488 G4double radius = 1.0/norm.mag();
377 return { 0., 0., std::copysign(1., z - fZM << 489
>> 490 // approximate distance to curved surface
>> 491 //
>> 492 distR = std::fabs( (p*norm - 1.0) * radius ) / 2.0;
>> 493
>> 494 // Distance to z-cut plane
>> 495 //
>> 496 distZBottom = std::fabs( p.z() - zBottomCut );
>> 497 distZTop = std::fabs( p.z() - zTopCut );
>> 498
>> 499 if ( (distZBottom < distR) || (distZTop < distR) )
>> 500 {
>> 501 return G4ThreeVector(0.,0.,(distZBottom < distZTop) ? -1.0 : 1.0);
>> 502 }
>> 503 return ( norm *= radius );
378 } 504 }
379 505
380 ////////////////////////////////////////////// << 506 ///////////////////////////////////////////////////////////////////////////////
>> 507 //
>> 508 // Calculate distance to shape from outside, along normalised vector
>> 509 // - return kInfinity if no intersection, or intersection distance <= tolerance
381 // 510 //
382 // Calculate distance to shape from outside al <<
383 511
384 G4double G4Ellipsoid::DistanceToIn(const G4Thr << 512 G4double G4Ellipsoid::DistanceToIn( const G4ThreeVector& p,
385 const G4Thr << 513 const G4ThreeVector& v ) const
386 { 514 {
387 G4double offset = 0.; << 515 G4double distMin = std::min(xSemiAxis,ySemiAxis);
388 G4ThreeVector pcur = p; << 516 const G4double dRmax = 100.*std::min(distMin,zSemiAxis);
389 << 517 distMin= kInfinity;
390 // Check if point is flying away, relative t <<
391 // <<
392 G4double safex = std::abs(p.x()) - fXmax; <<
393 G4double safey = std::abs(p.y()) - fYmax; <<
394 G4double safet = p.z() - fZTopCut; <<
395 G4double safeb = fZBottomCut - p.z(); <<
396 518
397 if (safex >= -halfTolerance && p.x() * v.x() << 519 // check to see if Z plane is relevant
398 if (safey >= -halfTolerance && p.y() * v.y() << 520 if (p.z() <= zBottomCut+halfCarTolerance)
399 if (safet >= -halfTolerance && v.z() >= 0.) << 521 {
400 if (safeb >= -halfTolerance && v.z() <= 0.) << 522 if (v.z() <= 0.0) { return distMin; }
>> 523 G4double distZ = (zBottomCut - p.z()) / v.z();
401 524
402 // Relocate point, if required << 525 if ( (distZ > -halfRadTolerance) && (Inside(p+distZ*v) != kOutside) )
403 // << 526 {
404 G4double safe = std::max(std::max(std::max(s << 527 // early exit since can't intercept curved surface if we reach here
405 if (safe > 32. * fRsph) << 528 if ( std::fabs(distZ) < halfRadTolerance ) { distZ=0.; }
>> 529 return distMin= distZ;
>> 530 }
>> 531 }
>> 532 if (p.z() >= zTopCut-halfCarTolerance)
406 { 533 {
407 offset = (1. - 1.e-08) * safe - 2. * fRsph << 534 if (v.z() >= 0.0) { return distMin;}
408 pcur += offset * v; << 535 G4double distZ = (zTopCut - p.z()) / v.z();
409 G4double dist = DistanceToIn(pcur, v); << 536 if ( (distZ > -halfRadTolerance) && (Inside(p+distZ*v) != kOutside) )
410 return (dist == kInfinity) ? kInfinity : d << 537 {
>> 538 // early exit since can't intercept curved surface if we reach here
>> 539 if ( std::fabs(distZ) < halfRadTolerance ) { distZ=0.; }
>> 540 return distMin= distZ;
>> 541 }
411 } 542 }
>> 543 // if fZCut1 <= p.z() <= fZCut2, then must hit curved surface
412 544
413 // Scale ellipsoid to sphere << 545 // now check curved surface intercept
414 // << 546 G4double A,B,C;
415 G4double px = pcur.x() * fSx; <<
416 G4double py = pcur.y() * fSy; <<
417 G4double pz = pcur.z() * fSz; <<
418 G4double vx = v.x() * fSx; <<
419 G4double vy = v.y() * fSy; <<
420 G4double vz = v.z() * fSz; <<
421 547
422 // Check if point is leaving the solid << 548 A= sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) + sqr(v.z()/zSemiAxis);
423 // << 549 C= sqr(p.x()/xSemiAxis) + sqr(p.y()/ySemiAxis) + sqr(p.z()/zSemiAxis) - 1.0;
424 G4double dzcut = fZDimCut; << 550 B= 2.0 * ( p.x()*v.x()/(xSemiAxis*xSemiAxis)
425 G4double pzcut = pz - fZMidCut; << 551 + p.y()*v.y()/(ySemiAxis*ySemiAxis)
426 G4double distZ = std::abs(pzcut) - dzcut; << 552 + p.z()*v.z()/(zSemiAxis*zSemiAxis) );
427 if (distZ >= -halfTolerance && pzcut * vz >= << 553
>> 554 C= B*B - 4.0*A*C;
>> 555 if (C > 0.0)
>> 556 {
>> 557 G4double distR= (-B - std::sqrt(C)) / (2.0*A);
>> 558 G4double intZ = p.z()+distR*v.z();
>> 559 if ( (distR > halfRadTolerance)
>> 560 && (intZ >= zBottomCut-halfRadTolerance)
>> 561 && (intZ <= zTopCut+halfRadTolerance) )
>> 562 {
>> 563 distMin = distR;
>> 564 }
>> 565 else if( (distR >- halfRadTolerance)
>> 566 && (intZ >= zBottomCut-halfRadTolerance)
>> 567 && (intZ <= zTopCut+halfRadTolerance) )
>> 568 {
>> 569 // p is on the curved surface, DistanceToIn returns 0 or kInfinity:
>> 570 // DistanceToIn returns 0, if second root is positive (means going inside)
>> 571 // If second root is negative, DistanceToIn returns kInfinity (outside)
>> 572 //
>> 573 distR = (-B + std::sqrt(C) ) / (2.0*A);
>> 574 if(distR>0.) { distMin=0.; }
>> 575 }
>> 576 else
>> 577 {
>> 578 distR= (-B + std::sqrt(C)) / (2.0*A);
>> 579 intZ = p.z()+distR*v.z();
>> 580 if ( (distR > halfRadTolerance)
>> 581 && (intZ >= zBottomCut-halfRadTolerance)
>> 582 && (intZ <= zTopCut+halfRadTolerance) )
>> 583 {
>> 584 G4ThreeVector norm=SurfaceNormal(p);
>> 585 if (norm.dot(v)<0.) { distMin = distR; }
>> 586 }
>> 587 }
>> 588 if ( (distMin!=kInfinity) && (distMin>dRmax) )
>> 589 { // Avoid rounding errors due to precision issues on
>> 590 // 64 bits systems. Split long distances and recompute
>> 591 G4double fTerm = distMin-std::fmod(distMin,dRmax);
>> 592 distMin = fTerm + DistanceToIn(p+fTerm*v,v);
>> 593 }
>> 594 }
>> 595
>> 596 if (std::fabs(distMin)<halfRadTolerance) { distMin=0.; }
>> 597 return distMin;
>> 598 }
428 599
429 G4double rr = px * px + py * py + pz * pz; << 600 ///////////////////////////////////////////////////////////////////////////////
430 G4double pv = px * vx + py * vy + pz * vz; << 601 //
431 G4double distR = fQ1 * rr - fQ2; << 602 // Calculate distance (<= actual) to closest surface of shape from outside
432 if (distR >= -halfTolerance && pv >= 0.) ret << 603 // - Return 0 if point inside
433 604
434 G4double A = vx * vx + vy * vy + vz * vz; << 605 G4double G4Ellipsoid::DistanceToIn(const G4ThreeVector& p) const
435 G4double B = pv; << 606 {
436 G4double C = rr - fR * fR; << 607 G4double distR, distZ;
437 G4double D = B * B - A * C; <<
438 // scratch^2 = R^2 - (R - halfTolerance)^2 = <<
439 G4double EPS = A * A * fR * kCarTolerance; / <<
440 if (D <= EPS) return kInfinity; // no inters <<
441 608
442 // Find intersection with Z planes << 609 // normal vector: parallel to normal, magnitude 1/(characteristic radius)
443 // 610 //
444 G4double invz = (vz == 0) ? DBL_MAX : -1./v << 611 G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis),
445 G4double dz = std::copysign(dzcut, invz); << 612 p.y()/(ySemiAxis*ySemiAxis),
446 G4double tzmin = (pzcut - dz) * invz; << 613 p.z()/(zSemiAxis*zSemiAxis));
447 G4double tzmax = (pzcut + dz) * invz; << 614 G4double radius= 1.0/norm.mag();
448 615
449 // Find intersection with lateral surface << 616 // approximate distance to curved surface ( <= actual distance )
450 // 617 //
451 G4double tmp = -B - std::copysign(std::sqrt( << 618 distR= (p*norm - 1.0) * radius / 2.0;
452 G4double t1 = tmp / A; <<
453 G4double t2 = C / tmp; <<
454 G4double trmin = std::min(t1, t2); <<
455 G4double trmax = std::max(t1, t2); <<
456 619
457 // Return distance << 620 // Distance to z-cut plane
458 // 621 //
459 G4double tmin = std::max(tzmin, trmin); << 622 distZ= zBottomCut - p.z();
460 G4double tmax = std::min(tzmax, trmax); << 623 if (distZ < 0.0)
461 << 624 {
462 if (tmax - tmin <= halfTolerance) return kIn << 625 distZ = p.z() - zTopCut;
463 return (tmin < halfTolerance) ? offset : tmi << 626 }
464 } <<
465 <<
466 ////////////////////////////////////////////// <<
467 // <<
468 // Estimate distance to surface from outside <<
469 627
470 G4double G4Ellipsoid::DistanceToIn(const G4Thr << 628 // Distance to closest surface from outside
471 { << 629 //
472 G4double px = p.x(); << 630 if (distZ < 0.0)
473 G4double py = p.y(); << 631 {
474 G4double pz = p.z(); << 632 return (distR < 0.0) ? 0.0 : distR;
475 << 633 }
476 // Safety distance to bounding box << 634 else if (distR < 0.0)
477 G4double distX = std::abs(px) - fXmax; << 635 {
478 G4double distY = std::abs(py) - fYmax; << 636 return distZ;
479 G4double distZ = std::max(pz - fZTopCut, fZB << 637 }
480 G4double distB = std::max(std::max(distX, di << 638 else
481 << 639 {
482 // Safety distance to lateral surface << 640 return (distZ < distR) ? distZ : distR;
483 G4double x = px * fSx; << 641 }
484 G4double y = py * fSy; <<
485 G4double z = pz * fSz; <<
486 G4double distR = std::sqrt(x*x + y*y + z*z) <<
487 <<
488 // Return safety to in <<
489 G4double dist = std::max(distB, distR); <<
490 return (dist < 0.) ? 0. : dist; <<
491 } 642 }
492 643
493 ////////////////////////////////////////////// << 644 ///////////////////////////////////////////////////////////////////////////////
494 // 645 //
495 // Calculate distance to surface from inside a << 646 // Calculate distance to surface of shape from `inside', allowing for tolerance
496 647
497 G4double G4Ellipsoid::DistanceToOut(const G4Th 648 G4double G4Ellipsoid::DistanceToOut(const G4ThreeVector& p,
498 const G4Th 649 const G4ThreeVector& v,
499 const G4bo 650 const G4bool calcNorm,
500 G4bo << 651 G4bool *validNorm,
501 G4Th << 652 G4ThreeVector *n ) const
502 { 653 {
503 // Check if point flying away relative to Z << 654 G4double distMin;
>> 655 enum surface_e {kPlaneSurf, kCurvedSurf, kNoSurf} surface;
>> 656
>> 657 distMin= kInfinity;
>> 658 surface= kNoSurf;
>> 659
>> 660 // check to see if Z plane is relevant
504 // 661 //
505 G4double pz = p.z() * fSz; << 662 if (v.z() < 0.0)
506 G4double vz = v.z() * fSz; <<
507 G4double dzcut = fZDimCut; <<
508 G4double pzcut = pz - fZMidCut; <<
509 G4double distZ = std::abs(pzcut) - dzcut; <<
510 if (distZ >= -halfTolerance && pzcut * vz > <<
511 { 663 {
512 if (calcNorm) << 664 G4double distZ = (zBottomCut - p.z()) / v.z();
>> 665 if (distZ < 0.0)
513 { 666 {
514 *validNorm = true; << 667 distZ= 0.0;
515 n->set(0., 0., std::copysign(1., pzcut)) << 668 if (!calcNorm) {return 0.0;}
516 } 669 }
517 return 0.; << 670 distMin= distZ;
>> 671 surface= kPlaneSurf;
518 } 672 }
519 << 673 if (v.z() > 0.0)
520 // Check if point is flying away relative to <<
521 // <<
522 G4double px = p.x() * fSx; <<
523 G4double py = p.y() * fSy; <<
524 G4double vx = v.x() * fSx; <<
525 G4double vy = v.y() * fSy; <<
526 G4double rr = px * px + py * py + pz * pz; <<
527 G4double pv = px * vx + py * vy + pz * vz; <<
528 G4double distR = fQ1 * rr - fQ2; <<
529 if (distR >= -halfTolerance && pv > 0.) <<
530 { 674 {
531 if (calcNorm) << 675 G4double distZ = (zTopCut - p.z()) / v.z();
>> 676 if (distZ < 0.0)
532 { 677 {
533 *validNorm = true; << 678 distZ= 0.0;
534 *n = G4ThreeVector(px*fSx, py*fSy, pz*fS << 679 if (!calcNorm) {return 0.0;}
535 } 680 }
536 return 0.; << 681 distMin= distZ;
>> 682 surface= kPlaneSurf;
537 } 683 }
538 684
539 // Just in case check if point is outside (n << 685 // normal vector: parallel to normal, magnitude 1/(characteristic radius)
>> 686 //
>> 687 G4ThreeVector nearnorm(p.x()/(xSemiAxis*xSemiAxis),
>> 688 p.y()/(ySemiAxis*ySemiAxis),
>> 689 p.z()/(zSemiAxis*zSemiAxis));
>> 690
>> 691 // now check curved surface intercept
540 // 692 //
541 if (std::max(distZ, distR) > halfTolerance) << 693 G4double A,B,C;
>> 694
>> 695 A= sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) + sqr(v.z()/zSemiAxis);
>> 696 C= (p * nearnorm) - 1.0;
>> 697 B= 2.0 * (v * nearnorm);
>> 698
>> 699 C= B*B - 4.0*A*C;
>> 700 if (C > 0.0)
542 { 701 {
543 #ifdef G4SPECSDEBUG << 702 G4double distR= (-B + std::sqrt(C) ) / (2.0*A);
544 std::ostringstream message; << 703 if (distR < 0.0)
545 G4long oldprc = message.precision(16); <<
546 message << "Point p is outside (!?) of sol <<
547 << GetName() << G4endl; <<
548 message << "Position: " << p << G4endl;; <<
549 message << "Direction: " << v; <<
550 G4cout.precision(oldprc); <<
551 G4Exception("G4Ellipsoid::DistanceToOut(p, <<
552 JustWarning, message ); <<
553 DumpInfo(); <<
554 #endif <<
555 if (calcNorm) <<
556 { 704 {
557 *validNorm = true; << 705 distR= 0.0;
558 *n = ApproxSurfaceNormal(p); << 706 if (!calcNorm) {return 0.0;}
>> 707 }
>> 708 if (distR < distMin)
>> 709 {
>> 710 distMin= distR;
>> 711 surface= kCurvedSurf;
559 } 712 }
560 return 0.; <<
561 } 713 }
562 714
563 // Set coefficients of quadratic equation: A << 715 // set normal if requested
564 // 716 //
565 G4double A = vx * vx + vy * vy + vz * vz; << 717 if (calcNorm)
566 G4double B = pv; <<
567 G4double C = rr - fR * fR; <<
568 G4double D = B * B - A * C; <<
569 // It is expected that the point is located <<
570 // max term in the expression for discrimina <<
571 // max calculation error can be derived as f <<
572 // A * (1 + 2e) * R^2 * (1 + 2e) = A * R^2 + <<
573 G4double EPS = 4. * A * fR * fR * DBL_EPSILO <<
574 <<
575 if (D <= EPS) // no intersection <<
576 { 718 {
577 if (calcNorm) << 719 if (surface == kNoSurf)
>> 720 {
>> 721 *validNorm = false;
>> 722 }
>> 723 else
578 { 724 {
579 *validNorm = true; 725 *validNorm = true;
580 *n = G4ThreeVector(px*fSx, py*fSy, pz*fS << 726 switch (surface)
>> 727 {
>> 728 case kPlaneSurf:
>> 729 *n= G4ThreeVector(0.,0.,(v.z() > 0.0 ? 1. : -1.));
>> 730 break;
>> 731 case kCurvedSurf:
>> 732 {
>> 733 G4ThreeVector pexit= p + distMin*v;
>> 734 G4ThreeVector truenorm(pexit.x()/(xSemiAxis*xSemiAxis),
>> 735 pexit.y()/(ySemiAxis*ySemiAxis),
>> 736 pexit.z()/(zSemiAxis*zSemiAxis));
>> 737 truenorm *= 1.0/truenorm.mag();
>> 738 *n= truenorm;
>> 739 } break;
>> 740 default: // Should never reach this case ...
>> 741 DumpInfo();
>> 742 std::ostringstream message;
>> 743 G4int oldprc = message.precision(16);
>> 744 message << "Undefined side for valid surface normal to solid."
>> 745 << G4endl
>> 746 << "Position:" << G4endl
>> 747 << " p.x() = " << p.x()/mm << " mm" << G4endl
>> 748 << " p.y() = " << p.y()/mm << " mm" << G4endl
>> 749 << " p.z() = " << p.z()/mm << " mm" << G4endl
>> 750 << "Direction:" << G4endl << G4endl
>> 751 << " v.x() = " << v.x() << G4endl
>> 752 << " v.y() = " << v.y() << G4endl
>> 753 << " v.z() = " << v.z() << G4endl
>> 754 << "Proposed distance :" << G4endl
>> 755 << " distMin = " << distMin/mm << " mm";
>> 756 message.precision(oldprc);
>> 757 G4Exception("G4Ellipsoid::DistanceToOut(p,v,..)",
>> 758 "GeomSolids1002", JustWarning, message);
>> 759 break;
>> 760 }
581 } 761 }
582 return 0.; <<
583 } 762 }
>> 763
>> 764 return distMin;
>> 765 }
>> 766
>> 767 ///////////////////////////////////////////////////////////////////////////////
>> 768 //
>> 769 // Calculate distance (<=actual) to closest surface of shape from inside
>> 770
>> 771 G4double G4Ellipsoid::DistanceToOut(const G4ThreeVector& p) const
>> 772 {
>> 773 G4double distR, distZ;
>> 774
>> 775 #ifdef G4SPECSDEBUG
>> 776 if( Inside(p) == kOutside )
>> 777 {
>> 778 DumpInfo();
>> 779 std::ostringstream message;
>> 780 G4int oldprc = message.precision(16);
>> 781 message << "Point p is outside !?" << G4endl
>> 782 << "Position:" << G4endl
>> 783 << " p.x() = " << p.x()/mm << " mm" << G4endl
>> 784 << " p.y() = " << p.y()/mm << " mm" << G4endl
>> 785 << " p.z() = " << p.z()/mm << " mm";
>> 786 message.precision(oldprc) ;
>> 787 G4Exception("G4Ellipsoid::DistanceToOut(p)", "GeomSolids1002",
>> 788 JustWarning, message);
>> 789 }
>> 790 #endif
584 791
585 // Find intersection with Z cuts << 792 // Normal vector: parallel to normal, magnitude 1/(characteristic radius)
586 // 793 //
587 G4double tzmax = (vz == 0.) ? DBL_MAX : (std << 794 G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis),
>> 795 p.y()/(ySemiAxis*ySemiAxis),
>> 796 p.z()/(zSemiAxis*zSemiAxis));
588 797
589 // Find intersection with lateral surface << 798 // the following is a safe inlined "radius= min(1.0/norm.mag(),p.mag())
590 // 799 //
591 G4double tmp = -B - std::copysign(std::sqrt( << 800 G4double radius= p.mag();
592 G4double trmax = (tmp < 0.) ? C/tmp : tmp/A; << 801 G4double tmp= norm.mag();
>> 802 if ( (tmp > 0.0) && (1.0 < radius*tmp) ) {radius = 1.0/tmp;}
593 803
594 // Find distance and set normal, if required << 804 // Approximate distance to curved surface ( <= actual distance )
>> 805 //
>> 806 distR = (1.0 - p*norm) * radius / 2.0;
>> 807
>> 808 // Distance to z-cut plane
595 // 809 //
596 G4double tmax = std::min(tzmax, trmax); << 810 distZ = p.z() - zBottomCut;
597 //if (tmax < halfTolerance) tmax = 0.; << 811 if (distZ < 0.0) {distZ= zTopCut - p.z();}
598 812
599 if (calcNorm) << 813 // Distance to closest surface from inside
>> 814 //
>> 815 if ( (distZ < 0.0) || (distR < 0.0) )
600 { 816 {
601 *validNorm = true; << 817 return 0.0;
602 if (tmax == tzmax) << 818 }
603 { << 819 else
604 G4double pznew = pz + tmax * vz; << 820 {
605 n->set(0., 0., (pznew > fZMidCut) ? 1. : << 821 return (distZ < distR) ? distZ : distR;
606 } <<
607 else <<
608 { <<
609 G4double nx = (px + tmax * vx) * fSx; <<
610 G4double ny = (py + tmax * vy) * fSy; <<
611 G4double nz = (pz + tmax * vz) * fSz; <<
612 *n = G4ThreeVector(nx, ny, nz).unit(); <<
613 } <<
614 } 822 }
615 return tmax; <<
616 } 823 }
617 824
618 ////////////////////////////////////////////// << 825 ///////////////////////////////////////////////////////////////////////////////
619 // 826 //
620 // Estimate distance to surface from inside << 827 // Create a List containing the transformed vertices
>> 828 // Ordering [0-3] -fDz cross section
>> 829 // [4-7] +fDz cross section such that [0] is below [4],
>> 830 // [1] below [5] etc.
>> 831 // Note:
>> 832 // Caller has deletion resposibility
>> 833 // Potential improvement: For last slice, use actual ending angle
>> 834 // to avoid rounding error problems.
>> 835
>> 836 G4ThreeVectorList*
>> 837 G4Ellipsoid::CreateRotatedVertices(const G4AffineTransform& pTransform,
>> 838 G4int& noPolygonVertices) const
>> 839 {
>> 840 G4ThreeVectorList *vertices;
>> 841 G4ThreeVector vertex;
>> 842 G4double meshAnglePhi, meshRMaxFactor,
>> 843 crossAnglePhi, coscrossAnglePhi, sincrossAnglePhi, sAnglePhi;
>> 844 G4double meshTheta, crossTheta, startTheta;
>> 845 G4double rMaxX, rMaxY, rMaxZ, rMaxMax, rx, ry, rz;
>> 846 G4int crossSectionPhi, noPhiCrossSections, crossSectionTheta, noThetaSections;
621 847
622 G4double G4Ellipsoid::DistanceToOut(const G4Th << 848 // Phi cross sections
623 { << 849 //
624 // Safety distance in z direction << 850 noPhiCrossSections=G4int (twopi/kMeshAngleDefault)+1; // = 9!
625 G4double distZ = std::min(fZTopCut - p.z(), << 851
>> 852 /*
>> 853 if (noPhiCrossSections<kMinMeshSections) // <3
>> 854 {
>> 855 noPhiCrossSections=kMinMeshSections;
>> 856 }
>> 857 else if (noPhiCrossSections>kMaxMeshSections) // >37
>> 858 {
>> 859 noPhiCrossSections=kMaxMeshSections;
>> 860 }
>> 861 */
>> 862 meshAnglePhi=twopi/(noPhiCrossSections-1);
>> 863
>> 864 // Set start angle such that mesh will be at fRMax
>> 865 // on the x axis. Will give better extent calculations when not rotated.
>> 866
>> 867 sAnglePhi = -meshAnglePhi*0.5;
>> 868
>> 869 // Theta cross sections
>> 870
>> 871 noThetaSections = G4int(pi/kMeshAngleDefault)+3; // = 7!
>> 872
>> 873 /*
>> 874 if (noThetaSections<kMinMeshSections) // <3
>> 875 {
>> 876 noThetaSections=kMinMeshSections;
>> 877 }
>> 878 else if (noThetaSections>kMaxMeshSections) // >37
>> 879 {
>> 880 noThetaSections=kMaxMeshSections;
>> 881 }
>> 882 */
>> 883 meshTheta= pi/(noThetaSections-2);
>> 884
>> 885 // Set start angle such that mesh will be at fRMax
>> 886 // on the z axis. Will give better extent calculations when not rotated.
>> 887
>> 888 startTheta = -meshTheta*0.5;
>> 889
>> 890 meshRMaxFactor = 1.0/std::cos(0.5*
>> 891 std::sqrt(meshAnglePhi*meshAnglePhi+meshTheta*meshTheta));
>> 892 rMaxMax= (xSemiAxis > ySemiAxis ? xSemiAxis : ySemiAxis);
>> 893 if (zSemiAxis > rMaxMax) rMaxMax= zSemiAxis;
>> 894 rMaxX= xSemiAxis + rMaxMax*(meshRMaxFactor-1.0);
>> 895 rMaxY= ySemiAxis + rMaxMax*(meshRMaxFactor-1.0);
>> 896 rMaxZ= zSemiAxis + rMaxMax*(meshRMaxFactor-1.0);
>> 897 G4double* cosCrossTheta = new G4double[noThetaSections];
>> 898 G4double* sinCrossTheta = new G4double[noThetaSections];
>> 899 vertices=new G4ThreeVectorList(noPhiCrossSections*noThetaSections);
>> 900 if (vertices && cosCrossTheta && sinCrossTheta)
>> 901 {
>> 902 for (crossSectionTheta=0; crossSectionTheta<noThetaSections;
>> 903 crossSectionTheta++)
>> 904 {
>> 905 // Compute sine and cosine table (for historical reasons)
>> 906 //
>> 907 crossTheta=startTheta+crossSectionTheta*meshTheta;
>> 908 cosCrossTheta[crossSectionTheta]=std::cos(crossTheta);
>> 909 sinCrossTheta[crossSectionTheta]=std::sin(crossTheta);
>> 910 }
>> 911 for (crossSectionPhi=0; crossSectionPhi<noPhiCrossSections;
>> 912 crossSectionPhi++)
>> 913 {
>> 914 crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi;
>> 915 coscrossAnglePhi=std::cos(crossAnglePhi);
>> 916 sincrossAnglePhi=std::sin(crossAnglePhi);
>> 917 for (crossSectionTheta=0; crossSectionTheta<noThetaSections;
>> 918 crossSectionTheta++)
>> 919 {
>> 920 // Compute coordinates of cross section at section crossSectionPhi
>> 921 //
>> 922 rx= sinCrossTheta[crossSectionTheta]*coscrossAnglePhi*rMaxX;
>> 923 ry= sinCrossTheta[crossSectionTheta]*sincrossAnglePhi*rMaxY;
>> 924 rz= cosCrossTheta[crossSectionTheta]*rMaxZ;
>> 925 if (rz < zBottomCut)
>> 926 { rz= zBottomCut; }
>> 927 if (rz > zTopCut)
>> 928 { rz= zTopCut; }
>> 929 vertex= G4ThreeVector(rx,ry,rz);
>> 930 vertices->push_back(pTransform.TransformPoint(vertex));
>> 931 } // Theta forward
>> 932 } // Phi
>> 933 noPolygonVertices = noThetaSections ;
>> 934 }
>> 935 else
>> 936 {
>> 937 DumpInfo();
>> 938 G4Exception("G4Ellipsoid::CreateRotatedVertices()",
>> 939 "GeomSolids0003", FatalException,
>> 940 "Error in allocation of vertices. Out of memory !");
>> 941 }
626 942
627 // Safety distance to lateral surface << 943 delete[] cosCrossTheta;
628 G4double x = p.x() * fSx; << 944 delete[] sinCrossTheta;
629 G4double y = p.y() * fSy; << 945
630 G4double z = p.z() * fSz; << 946 return vertices;
631 G4double distR = fR - std::sqrt(x*x + y*y + <<
632 <<
633 // Return safety to out <<
634 G4double dist = std::min(distZ, distR); <<
635 return (dist < 0.) ? 0. : dist; <<
636 } 947 }
637 948
638 ////////////////////////////////////////////// 949 //////////////////////////////////////////////////////////////////////////
639 // 950 //
640 // Return entity type << 951 // G4EntityType
641 952
642 G4GeometryType G4Ellipsoid::GetEntityType() co 953 G4GeometryType G4Ellipsoid::GetEntityType() const
643 { 954 {
644 return {"G4Ellipsoid"}; << 955 return G4String("G4Ellipsoid");
645 } 956 }
646 957
647 ////////////////////////////////////////////// 958 //////////////////////////////////////////////////////////////////////////
648 // 959 //
649 // Make a clone of the object 960 // Make a clone of the object
650 961
651 G4VSolid* G4Ellipsoid::Clone() const 962 G4VSolid* G4Ellipsoid::Clone() const
652 { 963 {
653 return new G4Ellipsoid(*this); 964 return new G4Ellipsoid(*this);
654 } 965 }
655 966
656 ////////////////////////////////////////////// 967 //////////////////////////////////////////////////////////////////////////
657 // 968 //
658 // Stream object contents to output stream << 969 // Stream object contents to an output stream
659 970
660 std::ostream& G4Ellipsoid::StreamInfo( std::os 971 std::ostream& G4Ellipsoid::StreamInfo( std::ostream& os ) const
661 { 972 {
662 G4long oldprc = os.precision(16); << 973 G4int oldprc = os.precision(16);
663 os << "------------------------------------- 974 os << "-----------------------------------------------------------\n"
664 << " *** Dump for solid - " << GetName 975 << " *** Dump for solid - " << GetName() << " ***\n"
665 << " ================================= 976 << " ===================================================\n"
666 << " Solid type: " << GetEntityType() << << 977 << " Solid type: G4Ellipsoid\n"
667 << " Parameters: \n" 978 << " Parameters: \n"
668 << " semi-axis x: " << GetDx()/mm << " << 979
669 << " semi-axis y: " << GetDy()/mm << " << 980 << " semi-axis x: " << xSemiAxis/mm << " mm \n"
670 << " semi-axis z: " << GetDz()/mm << " << 981 << " semi-axis y: " << ySemiAxis/mm << " mm \n"
671 << " lower cut in z: " << GetZBottomCu << 982 << " semi-axis z: " << zSemiAxis/mm << " mm \n"
672 << " upper cut in z: " << GetZTopCut() << 983 << " max semi-axis: " << semiAxisMax/mm << " mm \n"
>> 984 << " lower cut plane level z: " << zBottomCut/mm << " mm \n"
>> 985 << " upper cut plane level z: " << zTopCut/mm << " mm \n"
673 << "------------------------------------- 986 << "-----------------------------------------------------------\n";
674 os.precision(oldprc); 987 os.precision(oldprc);
>> 988
675 return os; 989 return os;
676 } 990 }
677 991
678 ////////////////////////////////////////////// << 992 ////////////////////////////////////////////////////////////////////
679 // 993 //
680 // Return volume << 994 // GetPointOnSurface
681 995
682 G4double G4Ellipsoid::GetCubicVolume() << 996 G4ThreeVector G4Ellipsoid::GetPointOnSurface() const
683 { 997 {
684 if (fCubicVolume == 0.) << 998 G4double aTop, aBottom, aCurved, chose, xRand, yRand, zRand, phi;
>> 999 G4double cosphi, sinphi, costheta, sintheta, alpha, beta, max1, max2, max3;
>> 1000
>> 1001 max1 = xSemiAxis > ySemiAxis ? xSemiAxis : ySemiAxis;
>> 1002 max1 = max1 > zSemiAxis ? max1 : zSemiAxis;
>> 1003 if (max1 == xSemiAxis) { max2 = ySemiAxis; max3 = zSemiAxis; }
>> 1004 else if (max1 == ySemiAxis) { max2 = xSemiAxis; max3 = zSemiAxis; }
>> 1005 else { max2 = xSemiAxis; max3 = ySemiAxis; }
>> 1006
>> 1007 phi = RandFlat::shoot(0.,twopi);
>> 1008
>> 1009 cosphi = std::cos(phi); sinphi = std::sin(phi);
>> 1010 costheta = RandFlat::shoot(zBottomCut,zTopCut)/zSemiAxis;
>> 1011 sintheta = std::sqrt(1.-sqr(costheta));
>> 1012
>> 1013 alpha = 1.-sqr(max2/max1); beta = 1.-sqr(max3/max1);
>> 1014
>> 1015 aTop = pi*xSemiAxis*ySemiAxis*(1 - sqr(zTopCut/zSemiAxis));
>> 1016 aBottom = pi*xSemiAxis*ySemiAxis*(1 - sqr(zBottomCut/zSemiAxis));
>> 1017
>> 1018 // approximation
>> 1019 // from:" http://www.citr.auckland.ac.nz/techreports/2004/CITR-TR-139.pdf"
>> 1020 aCurved = 4.*pi*max1*max2*(1.-1./6.*(alpha+beta)-
>> 1021 1./120.*(3.*sqr(alpha)+2.*alpha*beta+3.*sqr(beta)));
>> 1022
>> 1023 aCurved *= 0.5*(1.2*zTopCut/zSemiAxis - 1.2*zBottomCut/zSemiAxis);
>> 1024
>> 1025 if( ( zTopCut >= zSemiAxis && zBottomCut <= -1.*zSemiAxis )
>> 1026 || ( zTopCut == 0 && zBottomCut ==0 ) )
685 { 1027 {
686 G4double piAB_3 = CLHEP::pi * fDx * fDy / << 1028 aTop = 0; aBottom = 0;
687 fCubicVolume = 4. * piAB_3 * fDz; <<
688 if (fZBottomCut > -fDz) <<
689 { <<
690 G4double hbot = 1. + fZBottomCut / fDz; <<
691 fCubicVolume -= piAB_3 * hbot * hbot * ( <<
692 } <<
693 if (fZTopCut < fDz) <<
694 { <<
695 G4double htop = 1. - fZTopCut / fDz; <<
696 fCubicVolume -= piAB_3 * htop * htop * ( <<
697 } <<
698 } 1029 }
699 return fCubicVolume; << 1030
700 } << 1031 chose = RandFlat::shoot(0.,aTop + aBottom + aCurved);
701 << 1032
702 ////////////////////////////////////////////// << 1033 if(chose < aCurved)
703 // << 1034 {
704 // Calculate area of lateral surface << 1035 xRand = xSemiAxis*sintheta*cosphi;
705 << 1036 yRand = ySemiAxis*sintheta*sinphi;
706 G4double G4Ellipsoid::LateralSurfaceArea() con << 1037 zRand = zSemiAxis*costheta;
707 { << 1038 return G4ThreeVector (xRand,yRand,zRand);
708 constexpr G4int NPHI = 1000.; <<
709 constexpr G4double dPhi = CLHEP::halfpi/NPHI <<
710 constexpr G4double eps = 4.*DBL_EPSILON; <<
711 <<
712 G4double aa = fDx*fDx; <<
713 G4double bb = fDy*fDy; <<
714 G4double cc = fDz*fDz; <<
715 G4double ab = fDx*fDy; <<
716 G4double cc_aa = cc/aa; <<
717 G4double cc_bb = cc/bb; <<
718 G4double zmax = std::min(fZTopCut, fDz); <<
719 G4double zmin = std::max(fZBottomCut,-fDz); <<
720 G4double zmax_c = zmax/fDz; <<
721 G4double zmin_c = zmin/fDz; <<
722 G4double area = 0.; <<
723 <<
724 if (aa == bb) // spheroid, use analytical ex <<
725 { <<
726 G4double k = fDz/fDx; <<
727 G4double kk = k*k; <<
728 if (kk < 1. - eps) <<
729 { <<
730 G4double invk = fDx/fDz; <<
731 G4double root = std::sqrt(1. - kk); <<
732 G4double tmax = zmax_c*root; <<
733 G4double tmin = zmin_c*root; <<
734 area = CLHEP::pi*ab* <<
735 ((zmax_c*std::sqrt(kk + tmax*tmax) - z <<
736 (std::asinh(tmax*invk) - std::asinh(t <<
737 } <<
738 else if (kk > 1. + eps) <<
739 { <<
740 G4double invk = fDx/fDz; <<
741 G4double root = std::sqrt(kk - 1.); <<
742 G4double tmax = zmax_c*root; <<
743 G4double tmin = zmin_c*root; <<
744 area = CLHEP::pi*ab* <<
745 ((zmax_c*std::sqrt(kk - tmax*tmax) - z <<
746 (std::asin(tmax*invk) - std::asin(tmi <<
747 } <<
748 else <<
749 { <<
750 area = CLHEP::twopi*fDx*(zmax - zmin); <<
751 } <<
752 return area; <<
753 } 1039 }
754 << 1040 else if(chose >= aCurved && chose < aCurved + aTop)
755 // ellipsoid, integration along phi <<
756 for (G4int i = 0; i < NPHI; ++i) <<
757 { 1041 {
758 G4double sinPhi = std::sin(dPhi*(i + 0.5)) << 1042 xRand = RandFlat::shoot(-1.,1.)*xSemiAxis
759 G4double kk = cc_aa + (cc_bb - cc_aa)*sinP << 1043 * std::sqrt(1-sqr(zTopCut/zSemiAxis));
760 if (kk < 1. - eps) << 1044 yRand = RandFlat::shoot(-1.,1.)*ySemiAxis
761 { << 1045 * std::sqrt(1.-sqr(zTopCut/zSemiAxis)-sqr(xRand/xSemiAxis));
762 G4double root = std::sqrt(1. - kk); << 1046 zRand = zTopCut;
763 G4double tmax = zmax_c*root; << 1047 return G4ThreeVector (xRand,yRand,zRand);
764 G4double tmin = zmin_c*root; <<
765 G4double invk = 1./std::sqrt(kk); <<
766 area += 2.*ab*dPhi* <<
767 ((zmax_c*std::sqrt(kk + tmax*tmax) - z <<
768 (std::asinh(tmax*invk) - std::asinh(t <<
769 } <<
770 else if (kk > 1. + eps) <<
771 { <<
772 G4double root = std::sqrt(kk - 1.); <<
773 G4double tmax = zmax_c*root; <<
774 G4double tmin = zmin_c*root; <<
775 G4double invk = 1./std::sqrt(kk); <<
776 area += 2.*ab*dPhi* <<
777 ((zmax_c*std::sqrt(kk - tmax*tmax) - z <<
778 (std::asin(tmax*invk) - std::asin(tmi <<
779 } <<
780 else <<
781 { <<
782 area += 4.*ab*dPhi*(zmax_c - zmin_c); <<
783 } <<
784 } 1048 }
785 return area; << 1049 else
786 } <<
787 <<
788 ////////////////////////////////////////////// <<
789 // <<
790 // Return surface area <<
791 <<
792 G4double G4Ellipsoid::GetSurfaceArea() <<
793 { <<
794 if (fSurfaceArea == 0.) <<
795 { 1050 {
796 G4double piAB = CLHEP::pi * fDx * fDy; << 1051 xRand = RandFlat::shoot(-1.,1.)*xSemiAxis
797 fSurfaceArea = LateralSurfaceArea(); << 1052 * std::sqrt(1-sqr(zBottomCut/zSemiAxis));
798 if (fZBottomCut > -fDz) << 1053 yRand = RandFlat::shoot(-1.,1.)*ySemiAxis
799 { << 1054 * std::sqrt(1.-sqr(zBottomCut/zSemiAxis)-sqr(xRand/xSemiAxis));
800 G4double hbot = 1. + fZBottomCut / fDz; << 1055 zRand = zBottomCut;
801 fSurfaceArea += piAB * hbot * (2. - hbot << 1056 return G4ThreeVector (xRand,yRand,zRand);
802 } <<
803 if (fZTopCut < fDz) <<
804 { <<
805 G4double htop = 1. - fZTopCut / fDz; <<
806 fSurfaceArea += piAB * htop * (2. - htop <<
807 } <<
808 } <<
809 return fSurfaceArea; <<
810 } <<
811 <<
812 ////////////////////////////////////////////// <<
813 // <<
814 // Return random point on surface <<
815 <<
816 G4ThreeVector G4Ellipsoid::GetPointOnSurface() <<
817 { <<
818 G4double A = GetDx(); <<
819 G4double B = GetDy(); <<
820 G4double C = GetDz(); <<
821 G4double Zbot = GetZBottomCut(); <<
822 G4double Ztop = GetZTopCut(); <<
823 <<
824 // Calculate cut areas <<
825 G4double Hbot = 1. + Zbot / C; <<
826 G4double Htop = 1. - Ztop / C; <<
827 G4double piAB = CLHEP::pi * A * B; <<
828 G4double Sbot = piAB * Hbot * (2. - Hbot); <<
829 G4double Stop = piAB * Htop * (2. - Htop); <<
830 <<
831 // Get area of lateral surface <<
832 if (fLateralArea == 0.) <<
833 { <<
834 G4AutoLock l(&lateralareaMutex); <<
835 fLateralArea = LateralSurfaceArea(); <<
836 l.unlock(); <<
837 } <<
838 G4double Slat = fLateralArea; <<
839 <<
840 // Select surface (0 - bottom cut, 1 - later <<
841 G4double select = (Sbot + Slat + Stop) * G4Q <<
842 G4int k = 0; <<
843 if (select > Sbot) k = 1; <<
844 if (select > Sbot + Slat) k = 2; <<
845 <<
846 // Pick random point on selected surface (re <<
847 G4ThreeVector p; <<
848 switch (k) <<
849 { <<
850 case 0: // bootom z-cut <<
851 { <<
852 G4double scale = std::sqrt(Hbot * (2. - <<
853 G4TwoVector rho = G4RandomPointInEllipse <<
854 p.set(rho.x(), rho.y(), Zbot); <<
855 break; <<
856 } <<
857 case 1: // lateral surface <<
858 { <<
859 G4double x, y, z; <<
860 G4double mu_max = std::max(std::max(A * <<
861 for (G4int i = 0; i < 1000; ++i) <<
862 { <<
863 // generate random point on unit spher <<
864 z = (Zbot + (Ztop - Zbot) * G4QuickRan <<
865 G4double rho = std::sqrt((1. + z) * (1 <<
866 G4double phi = CLHEP::twopi * G4QuickR <<
867 x = rho * std::cos(phi); <<
868 y = rho * std::sin(phi); <<
869 // check acceptance <<
870 G4double xbc = x * B * C; <<
871 G4double yac = y * A * C; <<
872 G4double zab = z * A * B; <<
873 G4double mu = std::sqrt(xbc * xbc + y <<
874 if (mu_max * G4QuickRand() <= mu) brea <<
875 } <<
876 p.set(A * x, B * y, C * z); <<
877 break; <<
878 } <<
879 case 2: // top z-cut <<
880 { <<
881 G4double scale = std::sqrt(Htop * (2. - <<
882 G4TwoVector rho = G4RandomPointInEllipse <<
883 p.set(rho.x(), rho.y(), Ztop); <<
884 break; <<
885 } <<
886 } 1057 }
887 return p; <<
888 } 1058 }
889 1059
890 ////////////////////////////////////////////// << 1060 /////////////////////////////////////////////////////////////////////////////
891 // 1061 //
892 // Methods for visualisation 1062 // Methods for visualisation
893 1063
894 void G4Ellipsoid::DescribeYourselfTo (G4VGraph 1064 void G4Ellipsoid::DescribeYourselfTo (G4VGraphicsScene& scene) const
895 { 1065 {
896 scene.AddSolid(*this); 1066 scene.AddSolid(*this);
897 } 1067 }
898 1068
899 ////////////////////////////////////////////// <<
900 // <<
901 // Return vis extent <<
902 <<
903 G4VisExtent G4Ellipsoid::GetExtent() const 1069 G4VisExtent G4Ellipsoid::GetExtent() const
904 { 1070 {
905 return { -fXmax, fXmax, -fYmax, fYmax, fZBot << 1071 // Define the sides of the box into which the G4Ellipsoid instance would fit.
>> 1072 //
>> 1073 return G4VisExtent (-semiAxisMax, semiAxisMax,
>> 1074 -semiAxisMax, semiAxisMax,
>> 1075 -semiAxisMax, semiAxisMax);
906 } 1076 }
907 1077
908 ////////////////////////////////////////////// <<
909 // <<
910 // Create polyhedron <<
911 <<
912 G4Polyhedron* G4Ellipsoid::CreatePolyhedron () 1078 G4Polyhedron* G4Ellipsoid::CreatePolyhedron () const
913 { 1079 {
914 return new G4PolyhedronEllipsoid(fDx, fDy, f << 1080 return new G4PolyhedronEllipsoid(xSemiAxis, ySemiAxis, zSemiAxis,
>> 1081 zBottomCut, zTopCut);
915 } 1082 }
916 1083
917 ////////////////////////////////////////////// <<
918 // <<
919 // Return pointer to polyhedron <<
920 <<
921 G4Polyhedron* G4Ellipsoid::GetPolyhedron () co 1084 G4Polyhedron* G4Ellipsoid::GetPolyhedron () const
922 { 1085 {
923 if (fpPolyhedron == nullptr || << 1086 if (!fpPolyhedron ||
924 fRebuildPolyhedron || <<
925 fpPolyhedron->GetNumberOfRotationStepsAt 1087 fpPolyhedron->GetNumberOfRotationStepsAtTimeOfCreation() !=
926 fpPolyhedron->GetNumberOfRotationSteps() 1088 fpPolyhedron->GetNumberOfRotationSteps())
927 { 1089 {
928 G4AutoLock l(&polyhedronMutex); <<
929 delete fpPolyhedron; 1090 delete fpPolyhedron;
930 fpPolyhedron = CreatePolyhedron(); 1091 fpPolyhedron = CreatePolyhedron();
931 fRebuildPolyhedron = false; <<
932 l.unlock(); <<
933 } 1092 }
934 return fpPolyhedron; 1093 return fpPolyhedron;
935 } 1094 }
936 <<
937 #endif // !defined(G4GEOM_USE_UELLIPSOID) || ! <<
938 1095