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25 // 25 //
>> 26 //
26 // class G4Ellipsoid 27 // class G4Ellipsoid
27 // 28 //
28 // Implementation of G4Ellipsoid class << 29 // Implementation for G4Ellipsoid class
>> 30 //
>> 31 // History:
29 // 32 //
30 // 10.11.99 G.Horton-Smith: first writing, bas 33 // 10.11.99 G.Horton-Smith: first writing, based on G4Sphere class
31 // 25.02.05 G.Guerrieri: Revised << 34 // 25.02.05 G.Guerrieri: Modified for future Geant4 release
32 // 15.12.19 E.Tcherniaev: Complete revision << 35 // 26.10.16 E.Tcherniaev: reimplemented CalculateExtent() using
>> 36 // G4BoundingEnvelope, removed CreateRotatedVertices()
>> 37 //
33 // ------------------------------------------- 38 // --------------------------------------------------------------------
34 39
35 #include "G4Ellipsoid.hh" <<
36 <<
37 #if !(defined(G4GEOM_USE_UELLIPSOID) && define <<
38 <<
39 #include "globals.hh" 40 #include "globals.hh"
40 41
>> 42 #include "G4Ellipsoid.hh"
>> 43
41 #include "G4VoxelLimits.hh" 44 #include "G4VoxelLimits.hh"
42 #include "G4AffineTransform.hh" 45 #include "G4AffineTransform.hh"
43 #include "G4GeometryTolerance.hh" 46 #include "G4GeometryTolerance.hh"
44 #include "G4BoundingEnvelope.hh" 47 #include "G4BoundingEnvelope.hh"
45 #include "G4RandomTools.hh" << 48
46 #include "G4QuickRand.hh" << 49 #include "meshdefs.hh"
>> 50 #include "Randomize.hh"
47 51
48 #include "G4VPVParameterisation.hh" 52 #include "G4VPVParameterisation.hh"
49 53
50 #include "G4VGraphicsScene.hh" 54 #include "G4VGraphicsScene.hh"
51 #include "G4VisExtent.hh" 55 #include "G4VisExtent.hh"
52 56
53 #include "G4AutoLock.hh" 57 #include "G4AutoLock.hh"
54 58
55 namespace 59 namespace
56 { 60 {
57 G4Mutex polyhedronMutex = G4MUTEX_INITIALIZ << 61 G4Mutex polyhedronMutex = G4MUTEX_INITIALIZER;
58 G4Mutex lateralareaMutex = G4MUTEX_INITIALIZ <<
59 } 62 }
60 63
61 using namespace CLHEP; 64 using namespace CLHEP;
62 65
63 ////////////////////////////////////////////// << 66 ///////////////////////////////////////////////////////////////////////////////
64 // 67 //
65 // Constructor << 68 // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI
>> 69 // - note if pDPhi>2PI then reset to 2PI
66 70
67 G4Ellipsoid::G4Ellipsoid(const G4String& name, << 71 G4Ellipsoid::G4Ellipsoid(const G4String& pName,
68 G4double xSemiA << 72 G4double pxSemiAxis,
69 G4double ySemiA << 73 G4double pySemiAxis,
70 G4double zSemiA << 74 G4double pzSemiAxis,
71 G4double zBotto << 75 G4double pzBottomCut,
72 G4double zTopCu << 76 G4double pzTopCut)
73 : G4VSolid(name), fDx(xSemiAxis), fDy(ySemiA << 77 : G4VSolid(pName), fRebuildPolyhedron(false), fpPolyhedron(0),
74 fZBottomCut(zBottomCut), fZTopCut(zTopCut) << 78 fCubicVolume(0.), fSurfaceArea(0.), zBottomCut(0.), zTopCut(0.)
75 { 79 {
76 CheckParameters(); << 80 // note: for users that want to use the full ellipsoid it is useful
>> 81 // to include a default for the cuts
>> 82
>> 83 kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
>> 84
>> 85 halfCarTolerance = kCarTolerance*0.5;
>> 86 halfRadTolerance = kRadTolerance*0.5;
>> 87
>> 88 // Check Semi-Axis
>> 89 if ( (pxSemiAxis<=0.) || (pySemiAxis<=0.) || (pzSemiAxis<=0.) )
>> 90 {
>> 91 std::ostringstream message;
>> 92 message << "Invalid semi-axis - " << GetName();
>> 93 G4Exception("G4Ellipsoid::G4Ellipsoid()", "GeomSolids0002",
>> 94 FatalErrorInArgument, message);
>> 95 }
>> 96 SetSemiAxis(pxSemiAxis, pySemiAxis, pzSemiAxis);
>> 97
>> 98 if ( pzBottomCut == 0 && pzTopCut == 0 )
>> 99 {
>> 100 SetZCuts(-pzSemiAxis, pzSemiAxis);
>> 101 }
>> 102 else if ( (pzBottomCut < pzSemiAxis) && (pzTopCut > -pzSemiAxis)
>> 103 && (pzBottomCut < pzTopCut) )
>> 104 {
>> 105 SetZCuts(pzBottomCut, pzTopCut);
>> 106 }
>> 107 else
>> 108 {
>> 109 std::ostringstream message;
>> 110 message << "Invalid z-coordinate for cutting plane - " << GetName();
>> 111 G4Exception("G4Ellipsoid::G4Ellipsoid()", "GeomSolids0002",
>> 112 FatalErrorInArgument, message);
>> 113 }
77 } 114 }
78 115
79 ////////////////////////////////////////////// << 116 ///////////////////////////////////////////////////////////////////////////////
80 // 117 //
81 // Fake default constructor - sets only member 118 // Fake default constructor - sets only member data and allocates memory
82 // for usage restri << 119 // for usage restricted to object persistency.
83 << 120 //
84 G4Ellipsoid::G4Ellipsoid( __void__& a ) 121 G4Ellipsoid::G4Ellipsoid( __void__& a )
85 : G4VSolid(a), fDx(0.), fDy(0.), fDz(0.), fZ << 122 : G4VSolid(a), fRebuildPolyhedron(false), fpPolyhedron(0), kRadTolerance(0.),
>> 123 halfCarTolerance(0.), halfRadTolerance(0.), fCubicVolume(0.),
>> 124 fSurfaceArea(0.), xSemiAxis(0.), ySemiAxis(0.), zSemiAxis(0.),
>> 125 semiAxisMax(0.), zBottomCut(0.), zTopCut(0.)
86 { 126 {
87 } 127 }
88 128
89 ////////////////////////////////////////////// << 129 ///////////////////////////////////////////////////////////////////////////////
90 // 130 //
91 // Destructor 131 // Destructor
92 132
93 G4Ellipsoid::~G4Ellipsoid() 133 G4Ellipsoid::~G4Ellipsoid()
94 { 134 {
95 delete fpPolyhedron; fpPolyhedron = nullptr; << 135 delete fpPolyhedron; fpPolyhedron = 0;
96 } 136 }
97 137
98 ////////////////////////////////////////////// << 138 ///////////////////////////////////////////////////////////////////////////////
99 // 139 //
100 // Copy constructor 140 // Copy constructor
101 141
102 G4Ellipsoid::G4Ellipsoid(const G4Ellipsoid& rh 142 G4Ellipsoid::G4Ellipsoid(const G4Ellipsoid& rhs)
103 : G4VSolid(rhs), 143 : G4VSolid(rhs),
104 fDx(rhs.fDx), fDy(rhs.fDy), fDz(rhs.fDz), << 144 fRebuildPolyhedron(false), fpPolyhedron(0),
105 fZBottomCut(rhs.fZBottomCut), fZTopCut(rhs. << 145 kRadTolerance(rhs.kRadTolerance),
106 halfTolerance(rhs.halfTolerance), << 146 halfCarTolerance(rhs.halfCarTolerance),
107 fXmax(rhs.fXmax), fYmax(rhs.fYmax), << 147 halfRadTolerance(rhs.halfRadTolerance),
108 fRsph(rhs.fRsph), fR(rhs.fR), << 148 fCubicVolume(rhs.fCubicVolume), fSurfaceArea(rhs.fSurfaceArea),
109 fSx(rhs.fSx), fSy(rhs.fSy), fSz(rhs.fSz), << 149 xSemiAxis(rhs.xSemiAxis), ySemiAxis(rhs.ySemiAxis),
110 fZMidCut(rhs.fZMidCut), fZDimCut(rhs.fZDimC << 150 zSemiAxis(rhs.zSemiAxis), semiAxisMax(rhs.semiAxisMax),
111 fQ1(rhs.fQ1), fQ2(rhs.fQ2), << 151 zBottomCut(rhs.zBottomCut), zTopCut(rhs.zTopCut)
112 fCubicVolume(rhs.fCubicVolume), <<
113 fSurfaceArea(rhs.fSurfaceArea), <<
114 fLateralArea(rhs.fLateralArea) <<
115 { 152 {
116 } 153 }
117 154
118 ////////////////////////////////////////////// << 155 ///////////////////////////////////////////////////////////////////////////////
119 // 156 //
120 // Assignment operator 157 // Assignment operator
121 158
122 G4Ellipsoid& G4Ellipsoid::operator = (const G4 << 159 G4Ellipsoid& G4Ellipsoid::operator = (const G4Ellipsoid& rhs)
123 { 160 {
124 // Check assignment to self 161 // Check assignment to self
125 // 162 //
126 if (this == &rhs) { return *this; } 163 if (this == &rhs) { return *this; }
127 164
128 // Copy base class data 165 // Copy base class data
129 // 166 //
130 G4VSolid::operator=(rhs); 167 G4VSolid::operator=(rhs);
131 168
132 // Copy data 169 // Copy data
133 // 170 //
134 fDx = rhs.fDx; << 171 kRadTolerance = rhs.kRadTolerance;
135 fDy = rhs.fDy; << 172 halfCarTolerance = rhs.halfCarTolerance;
136 fDz = rhs.fDz; << 173 halfRadTolerance = rhs.halfRadTolerance;
137 fZBottomCut = rhs.fZBottomCut; << 174 fCubicVolume = rhs.fCubicVolume; fSurfaceArea = rhs.fSurfaceArea;
138 fZTopCut = rhs.fZTopCut; << 175 xSemiAxis = rhs.xSemiAxis; ySemiAxis = rhs.ySemiAxis;
139 << 176 zSemiAxis = rhs.zSemiAxis; semiAxisMax = rhs.semiAxisMax;
140 halfTolerance = rhs.halfTolerance; << 177 zBottomCut = rhs.zBottomCut; zTopCut = rhs.zTopCut;
141 fXmax = rhs.fXmax; <<
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; 178 fRebuildPolyhedron = false;
158 delete fpPolyhedron; fpPolyhedron = nullptr << 179 delete fpPolyhedron; fpPolyhedron = 0;
159 180
160 return *this; 181 return *this;
161 } 182 }
162 183
163 ////////////////////////////////////////////// << 184 ////////////////////////////////////////////////////////////////////////
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 // 185 //
250 // Dispatch to parameterisation for replicatio 186 // Dispatch to parameterisation for replication mechanism dimension
251 // computation & modification << 187 // computation & modification.
252 188
253 void G4Ellipsoid::ComputeDimensions(G4VPVParam 189 void G4Ellipsoid::ComputeDimensions(G4VPVParameterisation* p,
254 const G4in 190 const G4int n,
255 const G4VP 191 const G4VPhysicalVolume* pRep)
256 { 192 {
257 p->ComputeDimensions(*this,n,pRep); 193 p->ComputeDimensions(*this,n,pRep);
258 } 194 }
259 195
260 ////////////////////////////////////////////// << 196 ///////////////////////////////////////////////////////////////////////////////
261 // 197 //
262 // Get bounding box 198 // Get bounding box
263 199
264 void G4Ellipsoid::BoundingLimits(G4ThreeVector << 200 void G4Ellipsoid::BoundingLimits(G4ThreeVector& pMin, G4ThreeVector& pMax) const
265 G4ThreeVector <<
266 { 201 {
267 pMin.set(-fXmax,-fYmax, fZBottomCut); << 202 G4double dx = GetSemiAxisMax(0);
268 pMax.set( fXmax, fYmax, fZTopCut); << 203 G4double dy = GetSemiAxisMax(1);
>> 204 G4double dz = GetSemiAxisMax(2);
>> 205 G4double zmin = std::max(-dz,GetZBottomCut());
>> 206 G4double zmax = std::min( dz,GetZTopCut());
>> 207 pMin.set(-dx,-dy,zmin);
>> 208 pMax.set( dx, dy,zmax);
>> 209
>> 210 // Check correctness of the bounding box
>> 211 //
>> 212 if (pMin.x() >= pMax.x() || pMin.y() >= pMax.y() || pMin.z() >= pMax.z())
>> 213 {
>> 214 std::ostringstream message;
>> 215 message << "Bad bounding box (min >= max) for solid: "
>> 216 << GetName() << " !"
>> 217 << "\npMin = " << pMin
>> 218 << "\npMax = " << pMax;
>> 219 G4Exception("G4Ellipsoid::BoundingLimits()", "GeomMgt0001",
>> 220 JustWarning, message);
>> 221 DumpInfo();
>> 222 }
269 } 223 }
270 224
271 ////////////////////////////////////////////// << 225 ///////////////////////////////////////////////////////////////////////////////
272 // 226 //
273 // Calculate extent under transform and specif << 227 // Calculate extent under transform and specified limit
274 228
275 G4bool 229 G4bool
276 G4Ellipsoid::CalculateExtent(const EAxis pAxis 230 G4Ellipsoid::CalculateExtent(const EAxis pAxis,
277 const G4VoxelLimi 231 const G4VoxelLimits& pVoxelLimit,
278 const G4AffineTra 232 const G4AffineTransform& pTransform,
279 G4double& p 233 G4double& pMin, G4double& pMax) const
280 { 234 {
281 G4ThreeVector bmin, bmax; 235 G4ThreeVector bmin, bmax;
282 236
283 // Get bounding box 237 // Get bounding box
284 BoundingLimits(bmin,bmax); 238 BoundingLimits(bmin,bmax);
285 239
286 // Find extent 240 // Find extent
287 G4BoundingEnvelope bbox(bmin,bmax); 241 G4BoundingEnvelope bbox(bmin,bmax);
288 return bbox.CalculateExtent(pAxis,pVoxelLimi 242 return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
289 } 243 }
290 244
291 ////////////////////////////////////////////// << 245 ///////////////////////////////////////////////////////////////////////////////
292 // 246 //
293 // Return position of point: inside/outside/on << 247 // Return whether point inside/outside/on surface
>> 248 // Split into radius, phi, theta checks
>> 249 // Each check modifies `in', or returns as approprate
294 250
295 EInside G4Ellipsoid::Inside(const G4ThreeVecto 251 EInside G4Ellipsoid::Inside(const G4ThreeVector& p) const
296 { 252 {
297 G4double x = p.x() * fSx; << 253 G4double rad2oo, // outside surface outer tolerance
298 G4double y = p.y() * fSy; << 254 rad2oi; // outside surface inner tolerance
299 G4double z = p.z() * fSz; << 255 EInside in;
300 G4double rr = x * x + y * y + z * z; <<
301 G4double distZ = std::abs(z - fZMidCut) - fZ <<
302 G4double distR = fQ1 * rr - fQ2; <<
303 G4double dist = std::max(distZ, distR); <<
304 256
305 if (dist > halfTolerance) return kOutside; << 257 // check this side of z cut first, because that's fast
306 return (dist > -halfTolerance) ? kSurface : << 258 //
307 } << 259 if (p.z() < zBottomCut-halfRadTolerance) { return in=kOutside; }
>> 260 if (p.z() > zTopCut+halfRadTolerance) { return in=kOutside; }
308 261
309 ////////////////////////////////////////////// << 262 rad2oo= sqr(p.x()/(xSemiAxis+halfRadTolerance))
310 // << 263 + sqr(p.y()/(ySemiAxis+halfRadTolerance))
311 // Return unit normal to surface at p << 264 + sqr(p.z()/(zSemiAxis+halfRadTolerance));
312 265
313 G4ThreeVector G4Ellipsoid::SurfaceNormal( cons << 266 if (rad2oo > 1.0) { return in=kOutside; }
314 { << 267
315 G4ThreeVector norm(0., 0., 0.); << 268 rad2oi= sqr(p.x()*(1.0+halfRadTolerance/xSemiAxis)/xSemiAxis)
316 G4int nsurf = 0; << 269 + sqr(p.y()*(1.0+halfRadTolerance/ySemiAxis)/ySemiAxis)
>> 270 + sqr(p.z()*(1.0+halfRadTolerance/zSemiAxis)/zSemiAxis);
317 271
318 // Check cuts << 272 // Check radial surfaces
319 G4double x = p.x() * fSx; << 273 // sets `in' (already checked for rad2oo > 1.0)
320 G4double y = p.y() * fSy; << 274 //
321 G4double z = p.z() * fSz; << 275 if (rad2oi < 1.0)
322 G4double distZ = std::abs(z - fZMidCut) - fZ <<
323 if (std::abs(distZ) <= halfTolerance) <<
324 { 276 {
325 norm.setZ(std::copysign(1., z - fZMidCut)) << 277 in = ( (p.z() < zBottomCut+halfRadTolerance)
326 ++nsurf; << 278 || (p.z() > zTopCut-halfRadTolerance) ) ? kSurface : kInside;
>> 279 if ( rad2oi > 1.0-halfRadTolerance ) { in=kSurface; }
327 } 280 }
328 << 281 else
329 // Check lateral surface <<
330 G4double distR = fQ1*(x*x + y*y + z*z) - fQ2 <<
331 if (std::abs(distR) <= halfTolerance) <<
332 { 282 {
333 // normal = (p.x/a^2, p.y/b^2, p.z/c^2) << 283 in = kSurface;
334 norm += G4ThreeVector(x*fSx, y*fSy, z*fSz) <<
335 ++nsurf; <<
336 } 284 }
>> 285 return in;
337 286
338 // Return normal <<
339 if (nsurf == 1) return norm; <<
340 else if (nsurf > 1) return norm.unit(); // e <<
341 else <<
342 { <<
343 #ifdef G4SPECSDEBUG <<
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 } <<
359 } 287 }
360 288
361 ////////////////////////////////////////////// << 289 ///////////////////////////////////////////////////////////////////////////////
362 // 290 //
363 // Find surface nearest to point and return co << 291 // Return unit normal of surface closest to p not protected against p=0
364 // This method normally should not be called. <<
365 292
366 G4ThreeVector G4Ellipsoid::ApproxSurfaceNormal << 293 G4ThreeVector G4Ellipsoid::SurfaceNormal( const G4ThreeVector& p) const
367 { 294 {
368 G4double x = p.x() * fSx; << 295 G4double distR, distZBottom, distZTop;
369 G4double y = p.y() * fSy; << 296
370 G4double z = p.z() * fSz; << 297 // normal vector with special magnitude: parallel to normal, units 1/length
371 G4double rr = x * x + y * y + z * z; << 298 // norm*p == 1.0 if on surface, >1.0 if outside, <1.0 if inside
372 G4double distZ = std::abs(z - fZMidCut) - fZ << 299 //
373 G4double distR = std::sqrt(rr) - fR; << 300 G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis),
374 if (distR > distZ && rr > 0.) // distR > di << 301 p.y()/(ySemiAxis*ySemiAxis),
375 return G4ThreeVector(x*fSx, y*fSy, z*fSz). << 302 p.z()/(zSemiAxis*zSemiAxis));
376 else << 303 G4double radius = 1.0/norm.mag();
377 return { 0., 0., std::copysign(1., z - fZM << 304
>> 305 // approximate distance to curved surface
>> 306 //
>> 307 distR = std::fabs( (p*norm - 1.0) * radius ) / 2.0;
>> 308
>> 309 // Distance to z-cut plane
>> 310 //
>> 311 distZBottom = std::fabs( p.z() - zBottomCut );
>> 312 distZTop = std::fabs( p.z() - zTopCut );
>> 313
>> 314 if ( (distZBottom < distR) || (distZTop < distR) )
>> 315 {
>> 316 return G4ThreeVector(0.,0.,(distZBottom < distZTop) ? -1.0 : 1.0);
>> 317 }
>> 318 return ( norm *= radius );
378 } 319 }
379 320
380 ////////////////////////////////////////////// << 321 ///////////////////////////////////////////////////////////////////////////////
>> 322 //
>> 323 // Calculate distance to shape from outside, along normalised vector
>> 324 // - return kInfinity if no intersection, or intersection distance <= tolerance
381 // 325 //
382 // Calculate distance to shape from outside al <<
383 326
384 G4double G4Ellipsoid::DistanceToIn(const G4Thr << 327 G4double G4Ellipsoid::DistanceToIn( const G4ThreeVector& p,
385 const G4Thr << 328 const G4ThreeVector& v ) const
386 { 329 {
387 G4double offset = 0.; << 330 G4double distMin = std::min(xSemiAxis,ySemiAxis);
388 G4ThreeVector pcur = p; << 331 const G4double dRmax = 100.*std::min(distMin,zSemiAxis);
>> 332 distMin= kInfinity;
389 333
390 // Check if point is flying away, relative t << 334 // check to see if Z plane is relevant
391 // << 335 if (p.z() <= zBottomCut+halfCarTolerance)
392 G4double safex = std::abs(p.x()) - fXmax; << 336 {
393 G4double safey = std::abs(p.y()) - fYmax; << 337 if (v.z() <= 0.0) { return distMin; }
394 G4double safet = p.z() - fZTopCut; << 338 G4double distZ = (zBottomCut - p.z()) / v.z();
395 G4double safeb = fZBottomCut - p.z(); <<
396 <<
397 if (safex >= -halfTolerance && p.x() * v.x() <<
398 if (safey >= -halfTolerance && p.y() * v.y() <<
399 if (safet >= -halfTolerance && v.z() >= 0.) <<
400 if (safeb >= -halfTolerance && v.z() <= 0.) <<
401 339
402 // Relocate point, if required << 340 if ( (distZ > -halfRadTolerance) && (Inside(p+distZ*v) != kOutside) )
403 // << 341 {
404 G4double safe = std::max(std::max(std::max(s << 342 // early exit since can't intercept curved surface if we reach here
405 if (safe > 32. * fRsph) << 343 if ( std::fabs(distZ) < halfRadTolerance ) { distZ=0.; }
>> 344 return distMin= distZ;
>> 345 }
>> 346 }
>> 347 if (p.z() >= zTopCut-halfCarTolerance)
406 { 348 {
407 offset = (1. - 1.e-08) * safe - 2. * fRsph << 349 if (v.z() >= 0.0) { return distMin;}
408 pcur += offset * v; << 350 G4double distZ = (zTopCut - p.z()) / v.z();
409 G4double dist = DistanceToIn(pcur, v); << 351 if ( (distZ > -halfRadTolerance) && (Inside(p+distZ*v) != kOutside) )
410 return (dist == kInfinity) ? kInfinity : d << 352 {
>> 353 // early exit since can't intercept curved surface if we reach here
>> 354 if ( std::fabs(distZ) < halfRadTolerance ) { distZ=0.; }
>> 355 return distMin= distZ;
>> 356 }
411 } 357 }
>> 358 // if fZCut1 <= p.z() <= fZCut2, then must hit curved surface
412 359
413 // Scale ellipsoid to sphere << 360 // now check curved surface intercept
414 // << 361 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; <<
421 362
422 // Check if point is leaving the solid << 363 A= sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) + sqr(v.z()/zSemiAxis);
423 // << 364 C= sqr(p.x()/xSemiAxis) + sqr(p.y()/ySemiAxis) + sqr(p.z()/zSemiAxis) - 1.0;
424 G4double dzcut = fZDimCut; << 365 B= 2.0 * ( p.x()*v.x()/(xSemiAxis*xSemiAxis)
425 G4double pzcut = pz - fZMidCut; << 366 + p.y()*v.y()/(ySemiAxis*ySemiAxis)
426 G4double distZ = std::abs(pzcut) - dzcut; << 367 + p.z()*v.z()/(zSemiAxis*zSemiAxis) );
427 if (distZ >= -halfTolerance && pzcut * vz >= <<
428 368
429 G4double rr = px * px + py * py + pz * pz; << 369 C= B*B - 4.0*A*C;
430 G4double pv = px * vx + py * vy + pz * vz; << 370 if (C > 0.0)
431 G4double distR = fQ1 * rr - fQ2; << 371 {
432 if (distR >= -halfTolerance && pv >= 0.) ret << 372 G4double distR= (-B - std::sqrt(C)) / (2.0*A);
>> 373 G4double intZ = p.z()+distR*v.z();
>> 374 if ( (distR > halfRadTolerance)
>> 375 && (intZ >= zBottomCut-halfRadTolerance)
>> 376 && (intZ <= zTopCut+halfRadTolerance) )
>> 377 {
>> 378 distMin = distR;
>> 379 }
>> 380 else if( (distR >- halfRadTolerance)
>> 381 && (intZ >= zBottomCut-halfRadTolerance)
>> 382 && (intZ <= zTopCut+halfRadTolerance) )
>> 383 {
>> 384 // p is on the curved surface, DistanceToIn returns 0 or kInfinity:
>> 385 // DistanceToIn returns 0, if second root is positive (means going inside)
>> 386 // If second root is negative, DistanceToIn returns kInfinity (outside)
>> 387 //
>> 388 distR = (-B + std::sqrt(C) ) / (2.0*A);
>> 389 if(distR>0.) { distMin=0.; }
>> 390 }
>> 391 else
>> 392 {
>> 393 distR= (-B + std::sqrt(C)) / (2.0*A);
>> 394 intZ = p.z()+distR*v.z();
>> 395 if ( (distR > halfRadTolerance)
>> 396 && (intZ >= zBottomCut-halfRadTolerance)
>> 397 && (intZ <= zTopCut+halfRadTolerance) )
>> 398 {
>> 399 G4ThreeVector norm=SurfaceNormal(p);
>> 400 if (norm.dot(v)<0.) { distMin = distR; }
>> 401 }
>> 402 }
>> 403 if ( (distMin!=kInfinity) && (distMin>dRmax) )
>> 404 { // Avoid rounding errors due to precision issues on
>> 405 // 64 bits systems. Split long distances and recompute
>> 406 G4double fTerm = distMin-std::fmod(distMin,dRmax);
>> 407 distMin = fTerm + DistanceToIn(p+fTerm*v,v);
>> 408 }
>> 409 }
>> 410
>> 411 if (std::fabs(distMin)<halfRadTolerance) { distMin=0.; }
>> 412 return distMin;
>> 413 }
433 414
434 G4double A = vx * vx + vy * vy + vz * vz; << 415 ///////////////////////////////////////////////////////////////////////////////
435 G4double B = pv; << 416 //
436 G4double C = rr - fR * fR; << 417 // Calculate distance (<= actual) to closest surface of shape from outside
437 G4double D = B * B - A * C; << 418 // - Return 0 if point inside
438 // scratch^2 = R^2 - (R - halfTolerance)^2 = <<
439 G4double EPS = A * A * fR * kCarTolerance; / <<
440 if (D <= EPS) return kInfinity; // no inters <<
441 419
442 // Find intersection with Z planes << 420 G4double G4Ellipsoid::DistanceToIn(const G4ThreeVector& p) const
443 // << 421 {
444 G4double invz = (vz == 0) ? DBL_MAX : -1./v << 422 G4double distR, distZ;
445 G4double dz = std::copysign(dzcut, invz); <<
446 G4double tzmin = (pzcut - dz) * invz; <<
447 G4double tzmax = (pzcut + dz) * invz; <<
448 423
449 // Find intersection with lateral surface << 424 // normal vector: parallel to normal, magnitude 1/(characteristic radius)
450 // 425 //
451 G4double tmp = -B - std::copysign(std::sqrt( << 426 G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis),
452 G4double t1 = tmp / A; << 427 p.y()/(ySemiAxis*ySemiAxis),
453 G4double t2 = C / tmp; << 428 p.z()/(zSemiAxis*zSemiAxis));
454 G4double trmin = std::min(t1, t2); << 429 G4double radius= 1.0/norm.mag();
455 G4double trmax = std::max(t1, t2); <<
456 430
457 // Return distance << 431 // approximate distance to curved surface ( <= actual distance )
458 // 432 //
459 G4double tmin = std::max(tzmin, trmin); << 433 distR= (p*norm - 1.0) * radius / 2.0;
460 G4double tmax = std::min(tzmax, trmax); <<
461 <<
462 if (tmax - tmin <= halfTolerance) return kIn <<
463 return (tmin < halfTolerance) ? offset : tmi <<
464 } <<
465 434
466 ////////////////////////////////////////////// << 435 // Distance to z-cut plane
467 // << 436 //
468 // Estimate distance to surface from outside << 437 distZ= zBottomCut - p.z();
>> 438 if (distZ < 0.0)
>> 439 {
>> 440 distZ = p.z() - zTopCut;
>> 441 }
469 442
470 G4double G4Ellipsoid::DistanceToIn(const G4Thr << 443 // Distance to closest surface from outside
471 { << 444 //
472 G4double px = p.x(); << 445 if (distZ < 0.0)
473 G4double py = p.y(); << 446 {
474 G4double pz = p.z(); << 447 return (distR < 0.0) ? 0.0 : distR;
475 << 448 }
476 // Safety distance to bounding box << 449 else if (distR < 0.0)
477 G4double distX = std::abs(px) - fXmax; << 450 {
478 G4double distY = std::abs(py) - fYmax; << 451 return distZ;
479 G4double distZ = std::max(pz - fZTopCut, fZB << 452 }
480 G4double distB = std::max(std::max(distX, di << 453 else
481 << 454 {
482 // Safety distance to lateral surface << 455 return (distZ < distR) ? distZ : distR;
483 G4double x = px * fSx; << 456 }
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 } 457 }
492 458
493 ////////////////////////////////////////////// << 459 ///////////////////////////////////////////////////////////////////////////////
494 // 460 //
495 // Calculate distance to surface from inside a << 461 // Calculate distance to surface of shape from `inside', allowing for tolerance
496 462
497 G4double G4Ellipsoid::DistanceToOut(const G4Th 463 G4double G4Ellipsoid::DistanceToOut(const G4ThreeVector& p,
498 const G4Th 464 const G4ThreeVector& v,
499 const G4bo 465 const G4bool calcNorm,
500 G4bo << 466 G4bool *validNorm,
501 G4Th << 467 G4ThreeVector *n ) const
502 { 468 {
503 // Check if point flying away relative to Z << 469 G4double distMin;
504 // << 470 enum surface_e {kPlaneSurf, kCurvedSurf, kNoSurf} surface;
505 G4double pz = p.z() * fSz; << 471
506 G4double vz = v.z() * fSz; << 472 distMin= kInfinity;
507 G4double dzcut = fZDimCut; << 473 surface= kNoSurf;
508 G4double pzcut = pz - fZMidCut; <<
509 G4double distZ = std::abs(pzcut) - dzcut; <<
510 if (distZ >= -halfTolerance && pzcut * vz > <<
511 { <<
512 if (calcNorm) <<
513 { <<
514 *validNorm = true; <<
515 n->set(0., 0., std::copysign(1., pzcut)) <<
516 } <<
517 return 0.; <<
518 } <<
519 474
520 // Check if point is flying away relative to << 475 // check to see if Z plane is relevant
521 // 476 //
522 G4double px = p.x() * fSx; << 477 if (v.z() < 0.0)
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 { 478 {
531 if (calcNorm) << 479 G4double distZ = (zBottomCut - p.z()) / v.z();
>> 480 if (distZ < 0.0)
532 { 481 {
533 *validNorm = true; << 482 distZ= 0.0;
534 *n = G4ThreeVector(px*fSx, py*fSy, pz*fS << 483 if (!calcNorm) {return 0.0;}
535 } 484 }
536 return 0.; << 485 distMin= distZ;
>> 486 surface= kPlaneSurf;
537 } 487 }
538 << 488 if (v.z() > 0.0)
539 // Just in case check if point is outside (n <<
540 // <<
541 if (std::max(distZ, distR) > halfTolerance) <<
542 { 489 {
543 #ifdef G4SPECSDEBUG << 490 G4double distZ = (zTopCut - p.z()) / v.z();
544 std::ostringstream message; << 491 if (distZ < 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 { 492 {
557 *validNorm = true; << 493 distZ= 0.0;
558 *n = ApproxSurfaceNormal(p); << 494 if (!calcNorm) {return 0.0;}
559 } 495 }
560 return 0.; << 496 distMin= distZ;
>> 497 surface= kPlaneSurf;
561 } 498 }
562 499
563 // Set coefficients of quadratic equation: A << 500 // normal vector: parallel to normal, magnitude 1/(characteristic radius)
>> 501 //
>> 502 G4ThreeVector nearnorm(p.x()/(xSemiAxis*xSemiAxis),
>> 503 p.y()/(ySemiAxis*ySemiAxis),
>> 504 p.z()/(zSemiAxis*zSemiAxis));
>> 505
>> 506 // now check curved surface intercept
564 // 507 //
565 G4double A = vx * vx + vy * vy + vz * vz; << 508 G4double A,B,C;
566 G4double B = pv; << 509
567 G4double C = rr - fR * fR; << 510 A= sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) + sqr(v.z()/zSemiAxis);
568 G4double D = B * B - A * C; << 511 C= (p * nearnorm) - 1.0;
569 // It is expected that the point is located << 512 B= 2.0 * (v * nearnorm);
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 <<
574 513
575 if (D <= EPS) // no intersection << 514 C= B*B - 4.0*A*C;
>> 515 if (C > 0.0)
576 { 516 {
577 if (calcNorm) << 517 G4double distR= (-B + std::sqrt(C) ) / (2.0*A);
>> 518 if (distR < 0.0)
578 { 519 {
579 *validNorm = true; << 520 distR= 0.0;
580 *n = G4ThreeVector(px*fSx, py*fSy, pz*fS << 521 if (!calcNorm) {return 0.0;}
>> 522 }
>> 523 if (distR < distMin)
>> 524 {
>> 525 distMin= distR;
>> 526 surface= kCurvedSurf;
581 } 527 }
582 return 0.; <<
583 } 528 }
584 529
585 // Find intersection with Z cuts << 530 // set normal if requested
586 // <<
587 G4double tzmax = (vz == 0.) ? DBL_MAX : (std <<
588 <<
589 // Find intersection with lateral surface <<
590 // 531 //
591 G4double tmp = -B - std::copysign(std::sqrt( <<
592 G4double trmax = (tmp < 0.) ? C/tmp : tmp/A; <<
593 <<
594 // Find distance and set normal, if required <<
595 // <<
596 G4double tmax = std::min(tzmax, trmax); <<
597 //if (tmax < halfTolerance) tmax = 0.; <<
598 <<
599 if (calcNorm) 532 if (calcNorm)
600 { 533 {
601 *validNorm = true; << 534 if (surface == kNoSurf)
602 if (tmax == tzmax) <<
603 { 535 {
604 G4double pznew = pz + tmax * vz; << 536 *validNorm = false;
605 n->set(0., 0., (pznew > fZMidCut) ? 1. : <<
606 } 537 }
607 else 538 else
608 { 539 {
609 G4double nx = (px + tmax * vx) * fSx; << 540 *validNorm = true;
610 G4double ny = (py + tmax * vy) * fSy; << 541 switch (surface)
611 G4double nz = (pz + tmax * vz) * fSz; << 542 {
612 *n = G4ThreeVector(nx, ny, nz).unit(); << 543 case kPlaneSurf:
>> 544 *n= G4ThreeVector(0.,0.,(v.z() > 0.0 ? 1. : -1.));
>> 545 break;
>> 546 case kCurvedSurf:
>> 547 {
>> 548 G4ThreeVector pexit= p + distMin*v;
>> 549 G4ThreeVector truenorm(pexit.x()/(xSemiAxis*xSemiAxis),
>> 550 pexit.y()/(ySemiAxis*ySemiAxis),
>> 551 pexit.z()/(zSemiAxis*zSemiAxis));
>> 552 truenorm *= 1.0/truenorm.mag();
>> 553 *n= truenorm;
>> 554 } break;
>> 555 default: // Should never reach this case ...
>> 556 DumpInfo();
>> 557 std::ostringstream message;
>> 558 G4int oldprc = message.precision(16);
>> 559 message << "Undefined side for valid surface normal to solid."
>> 560 << G4endl
>> 561 << "Position:" << G4endl
>> 562 << " p.x() = " << p.x()/mm << " mm" << G4endl
>> 563 << " p.y() = " << p.y()/mm << " mm" << G4endl
>> 564 << " p.z() = " << p.z()/mm << " mm" << G4endl
>> 565 << "Direction:" << G4endl << G4endl
>> 566 << " v.x() = " << v.x() << G4endl
>> 567 << " v.y() = " << v.y() << G4endl
>> 568 << " v.z() = " << v.z() << G4endl
>> 569 << "Proposed distance :" << G4endl
>> 570 << " distMin = " << distMin/mm << " mm";
>> 571 message.precision(oldprc);
>> 572 G4Exception("G4Ellipsoid::DistanceToOut(p,v,..)",
>> 573 "GeomSolids1002", JustWarning, message);
>> 574 break;
>> 575 }
613 } 576 }
614 } 577 }
615 return tmax; << 578
>> 579 return distMin;
616 } 580 }
617 581
618 ////////////////////////////////////////////// << 582 ///////////////////////////////////////////////////////////////////////////////
619 // 583 //
620 // Estimate distance to surface from inside << 584 // Calculate distance (<=actual) to closest surface of shape from inside
621 585
622 G4double G4Ellipsoid::DistanceToOut(const G4Th 586 G4double G4Ellipsoid::DistanceToOut(const G4ThreeVector& p) const
623 { 587 {
624 // Safety distance in z direction << 588 G4double distR, distZ;
625 G4double distZ = std::min(fZTopCut - p.z(), <<
626 589
627 // Safety distance to lateral surface << 590 #ifdef G4SPECSDEBUG
628 G4double x = p.x() * fSx; << 591 if( Inside(p) == kOutside )
629 G4double y = p.y() * fSy; << 592 {
630 G4double z = p.z() * fSz; << 593 DumpInfo();
631 G4double distR = fR - std::sqrt(x*x + y*y + << 594 std::ostringstream message;
632 << 595 G4int oldprc = message.precision(16);
633 // Return safety to out << 596 message << "Point p is outside !?" << G4endl
634 G4double dist = std::min(distZ, distR); << 597 << "Position:" << G4endl
635 return (dist < 0.) ? 0. : dist; << 598 << " p.x() = " << p.x()/mm << " mm" << G4endl
>> 599 << " p.y() = " << p.y()/mm << " mm" << G4endl
>> 600 << " p.z() = " << p.z()/mm << " mm";
>> 601 message.precision(oldprc) ;
>> 602 G4Exception("G4Ellipsoid::DistanceToOut(p)", "GeomSolids1002",
>> 603 JustWarning, message);
>> 604 }
>> 605 #endif
>> 606
>> 607 // Normal vector: parallel to normal, magnitude 1/(characteristic radius)
>> 608 //
>> 609 G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis),
>> 610 p.y()/(ySemiAxis*ySemiAxis),
>> 611 p.z()/(zSemiAxis*zSemiAxis));
>> 612
>> 613 // the following is a safe inlined "radius= min(1.0/norm.mag(),p.mag())
>> 614 //
>> 615 G4double radius= p.mag();
>> 616 G4double tmp= norm.mag();
>> 617 if ( (tmp > 0.0) && (1.0 < radius*tmp) ) {radius = 1.0/tmp;}
>> 618
>> 619 // Approximate distance to curved surface ( <= actual distance )
>> 620 //
>> 621 distR = (1.0 - p*norm) * radius / 2.0;
>> 622
>> 623 // Distance to z-cut plane
>> 624 //
>> 625 distZ = p.z() - zBottomCut;
>> 626 if (distZ < 0.0) {distZ= zTopCut - p.z();}
>> 627
>> 628 // Distance to closest surface from inside
>> 629 //
>> 630 if ( (distZ < 0.0) || (distR < 0.0) )
>> 631 {
>> 632 return 0.0;
>> 633 }
>> 634 else
>> 635 {
>> 636 return (distZ < distR) ? distZ : distR;
>> 637 }
636 } 638 }
637 639
638 ////////////////////////////////////////////// 640 //////////////////////////////////////////////////////////////////////////
639 // 641 //
640 // Return entity type << 642 // G4EntityType
641 643
642 G4GeometryType G4Ellipsoid::GetEntityType() co 644 G4GeometryType G4Ellipsoid::GetEntityType() const
643 { 645 {
644 return {"G4Ellipsoid"}; << 646 return G4String("G4Ellipsoid");
645 } 647 }
646 648
647 ////////////////////////////////////////////// 649 //////////////////////////////////////////////////////////////////////////
648 // 650 //
649 // Make a clone of the object 651 // Make a clone of the object
650 652
651 G4VSolid* G4Ellipsoid::Clone() const 653 G4VSolid* G4Ellipsoid::Clone() const
652 { 654 {
653 return new G4Ellipsoid(*this); 655 return new G4Ellipsoid(*this);
654 } 656 }
655 657
656 ////////////////////////////////////////////// 658 //////////////////////////////////////////////////////////////////////////
657 // 659 //
658 // Stream object contents to output stream << 660 // Stream object contents to an output stream
659 661
660 std::ostream& G4Ellipsoid::StreamInfo( std::os 662 std::ostream& G4Ellipsoid::StreamInfo( std::ostream& os ) const
661 { 663 {
662 G4long oldprc = os.precision(16); << 664 G4int oldprc = os.precision(16);
663 os << "------------------------------------- 665 os << "-----------------------------------------------------------\n"
664 << " *** Dump for solid - " << GetName 666 << " *** Dump for solid - " << GetName() << " ***\n"
665 << " ================================= 667 << " ===================================================\n"
666 << " Solid type: " << GetEntityType() << << 668 << " Solid type: G4Ellipsoid\n"
667 << " Parameters: \n" 669 << " Parameters: \n"
668 << " semi-axis x: " << GetDx()/mm << " << 670
669 << " semi-axis y: " << GetDy()/mm << " << 671 << " semi-axis x: " << xSemiAxis/mm << " mm \n"
670 << " semi-axis z: " << GetDz()/mm << " << 672 << " semi-axis y: " << ySemiAxis/mm << " mm \n"
671 << " lower cut in z: " << GetZBottomCu << 673 << " semi-axis z: " << zSemiAxis/mm << " mm \n"
672 << " upper cut in z: " << GetZTopCut() << 674 << " max semi-axis: " << semiAxisMax/mm << " mm \n"
>> 675 << " lower cut plane level z: " << zBottomCut/mm << " mm \n"
>> 676 << " upper cut plane level z: " << zTopCut/mm << " mm \n"
673 << "------------------------------------- 677 << "-----------------------------------------------------------\n";
674 os.precision(oldprc); 678 os.precision(oldprc);
675 return os; <<
676 } <<
677 <<
678 ////////////////////////////////////////////// <<
679 // <<
680 // Return volume <<
681 679
682 G4double G4Ellipsoid::GetCubicVolume() << 680 return os;
683 { <<
684 if (fCubicVolume == 0.) <<
685 { <<
686 G4double piAB_3 = CLHEP::pi * fDx * fDy / <<
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 } <<
699 return fCubicVolume; <<
700 } 681 }
701 682
702 ////////////////////////////////////////////// << 683 ////////////////////////////////////////////////////////////////////
703 // 684 //
704 // Calculate area of lateral surface << 685 // GetPointOnSurface
705 686
706 G4double G4Ellipsoid::LateralSurfaceArea() con << 687 G4ThreeVector G4Ellipsoid::GetPointOnSurface() const
707 { 688 {
708 constexpr G4int NPHI = 1000.; << 689 G4double aTop, aBottom, aCurved, chose, xRand, yRand, zRand, phi;
709 constexpr G4double dPhi = CLHEP::halfpi/NPHI << 690 G4double cosphi, sinphi, costheta, sintheta, alpha, beta, max1, max2, max3;
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 } <<
754 691
755 // ellipsoid, integration along phi << 692 max1 = xSemiAxis > ySemiAxis ? xSemiAxis : ySemiAxis;
756 for (G4int i = 0; i < NPHI; ++i) << 693 max1 = max1 > zSemiAxis ? max1 : zSemiAxis;
757 { << 694 if (max1 == xSemiAxis) { max2 = ySemiAxis; max3 = zSemiAxis; }
758 G4double sinPhi = std::sin(dPhi*(i + 0.5)) << 695 else if (max1 == ySemiAxis) { max2 = xSemiAxis; max3 = zSemiAxis; }
759 G4double kk = cc_aa + (cc_bb - cc_aa)*sinP << 696 else { max2 = xSemiAxis; max3 = ySemiAxis; }
760 if (kk < 1. - eps) << 697
761 { << 698 phi = G4RandFlat::shoot(0.,twopi);
762 G4double root = std::sqrt(1. - kk); << 699
763 G4double tmax = zmax_c*root; << 700 cosphi = std::cos(phi); sinphi = std::sin(phi);
764 G4double tmin = zmin_c*root; << 701 costheta = G4RandFlat::shoot(zBottomCut,zTopCut)/zSemiAxis;
765 G4double invk = 1./std::sqrt(kk); << 702 sintheta = std::sqrt(1.-sqr(costheta));
766 area += 2.*ab*dPhi* << 703
767 ((zmax_c*std::sqrt(kk + tmax*tmax) - z << 704 alpha = 1.-sqr(max2/max1); beta = 1.-sqr(max3/max1);
768 (std::asinh(tmax*invk) - std::asinh(t << 705
769 } << 706 aTop = pi*xSemiAxis*ySemiAxis*(1 - sqr(zTopCut/zSemiAxis));
770 else if (kk > 1. + eps) << 707 aBottom = pi*xSemiAxis*ySemiAxis*(1 - sqr(zBottomCut/zSemiAxis));
771 { << 708
772 G4double root = std::sqrt(kk - 1.); << 709 // approximation
773 G4double tmax = zmax_c*root; << 710 // from:" http://www.citr.auckland.ac.nz/techreports/2004/CITR-TR-139.pdf"
774 G4double tmin = zmin_c*root; << 711 aCurved = 4.*pi*max1*max2*(1.-1./6.*(alpha+beta)-
775 G4double invk = 1./std::sqrt(kk); << 712 1./120.*(3.*sqr(alpha)+2.*alpha*beta+3.*sqr(beta)));
776 area += 2.*ab*dPhi* << 713
777 ((zmax_c*std::sqrt(kk - tmax*tmax) - z << 714 aCurved *= 0.5*(1.2*zTopCut/zSemiAxis - 1.2*zBottomCut/zSemiAxis);
778 (std::asin(tmax*invk) - std::asin(tmi << 715
779 } << 716 if( ( zTopCut >= zSemiAxis && zBottomCut <= -1.*zSemiAxis )
780 else << 717 || ( zTopCut == 0 && zBottomCut ==0 ) )
781 { << 718 {
782 area += 4.*ab*dPhi*(zmax_c - zmin_c); << 719 aTop = 0; aBottom = 0;
783 } << 720 }
>> 721
>> 722 chose = G4RandFlat::shoot(0.,aTop + aBottom + aCurved);
>> 723
>> 724 if(chose < aCurved)
>> 725 {
>> 726 xRand = xSemiAxis*sintheta*cosphi;
>> 727 yRand = ySemiAxis*sintheta*sinphi;
>> 728 zRand = zSemiAxis*costheta;
>> 729 return G4ThreeVector (xRand,yRand,zRand);
>> 730 }
>> 731 else if(chose >= aCurved && chose < aCurved + aTop)
>> 732 {
>> 733 xRand = G4RandFlat::shoot(-1.,1.)*xSemiAxis
>> 734 * std::sqrt(1-sqr(zTopCut/zSemiAxis));
>> 735 yRand = G4RandFlat::shoot(-1.,1.)*ySemiAxis
>> 736 * std::sqrt(1.-sqr(zTopCut/zSemiAxis)-sqr(xRand/xSemiAxis));
>> 737 zRand = zTopCut;
>> 738 return G4ThreeVector (xRand,yRand,zRand);
784 } 739 }
785 return area; << 740 else
786 } <<
787 <<
788 ////////////////////////////////////////////// <<
789 // <<
790 // Return surface area <<
791 <<
792 G4double G4Ellipsoid::GetSurfaceArea() <<
793 { <<
794 if (fSurfaceArea == 0.) <<
795 { 741 {
796 G4double piAB = CLHEP::pi * fDx * fDy; << 742 xRand = G4RandFlat::shoot(-1.,1.)*xSemiAxis
797 fSurfaceArea = LateralSurfaceArea(); << 743 * std::sqrt(1-sqr(zBottomCut/zSemiAxis));
798 if (fZBottomCut > -fDz) << 744 yRand = G4RandFlat::shoot(-1.,1.)*ySemiAxis
799 { << 745 * std::sqrt(1.-sqr(zBottomCut/zSemiAxis)-sqr(xRand/xSemiAxis));
800 G4double hbot = 1. + fZBottomCut / fDz; << 746 zRand = zBottomCut;
801 fSurfaceArea += piAB * hbot * (2. - hbot << 747 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 } 748 }
809 return fSurfaceArea; <<
810 } 749 }
811 750
812 ////////////////////////////////////////////// << 751 /////////////////////////////////////////////////////////////////////////////
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 } <<
887 return p; <<
888 } <<
889 <<
890 ////////////////////////////////////////////// <<
891 // 752 //
892 // Methods for visualisation 753 // Methods for visualisation
893 754
894 void G4Ellipsoid::DescribeYourselfTo (G4VGraph 755 void G4Ellipsoid::DescribeYourselfTo (G4VGraphicsScene& scene) const
895 { 756 {
896 scene.AddSolid(*this); 757 scene.AddSolid(*this);
897 } 758 }
898 759
899 ////////////////////////////////////////////// <<
900 // <<
901 // Return vis extent <<
902 <<
903 G4VisExtent G4Ellipsoid::GetExtent() const 760 G4VisExtent G4Ellipsoid::GetExtent() const
904 { 761 {
905 return { -fXmax, fXmax, -fYmax, fYmax, fZBot << 762 // Define the sides of the box into which the G4Ellipsoid instance would fit.
>> 763 //
>> 764 return G4VisExtent (-semiAxisMax, semiAxisMax,
>> 765 -semiAxisMax, semiAxisMax,
>> 766 -semiAxisMax, semiAxisMax);
906 } 767 }
907 768
908 ////////////////////////////////////////////// <<
909 // <<
910 // Create polyhedron <<
911 <<
912 G4Polyhedron* G4Ellipsoid::CreatePolyhedron () 769 G4Polyhedron* G4Ellipsoid::CreatePolyhedron () const
913 { 770 {
914 return new G4PolyhedronEllipsoid(fDx, fDy, f << 771 return new G4PolyhedronEllipsoid(xSemiAxis, ySemiAxis, zSemiAxis,
>> 772 zBottomCut, zTopCut);
915 } 773 }
916 774
917 ////////////////////////////////////////////// <<
918 // <<
919 // Return pointer to polyhedron <<
920 <<
921 G4Polyhedron* G4Ellipsoid::GetPolyhedron () co 775 G4Polyhedron* G4Ellipsoid::GetPolyhedron () const
922 { 776 {
923 if (fpPolyhedron == nullptr || << 777 if (!fpPolyhedron ||
924 fRebuildPolyhedron || 778 fRebuildPolyhedron ||
925 fpPolyhedron->GetNumberOfRotationStepsAt 779 fpPolyhedron->GetNumberOfRotationStepsAtTimeOfCreation() !=
926 fpPolyhedron->GetNumberOfRotationSteps() 780 fpPolyhedron->GetNumberOfRotationSteps())
927 { 781 {
928 G4AutoLock l(&polyhedronMutex); 782 G4AutoLock l(&polyhedronMutex);
929 delete fpPolyhedron; 783 delete fpPolyhedron;
930 fpPolyhedron = CreatePolyhedron(); 784 fpPolyhedron = CreatePolyhedron();
931 fRebuildPolyhedron = false; 785 fRebuildPolyhedron = false;
932 l.unlock(); 786 l.unlock();
933 } 787 }
934 return fpPolyhedron; 788 return fpPolyhedron;
935 } 789 }
936 <<
937 #endif // !defined(G4GEOM_USE_UELLIPSOID) || ! <<
938 790