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25 // 25 //
26 // G4Torus implementation <<
27 // 26 //
28 // 30.10.96 V.Grichine: first implementation w << 27 // $Id: G4Torus.cc 104316 2017-05-24 13:04:23Z gcosmo $
29 // 26.05.00 V.Grichine: added new fuctions dev << 28 //
30 // 31.08.00 E.Medernach: numerical computation << 29 //
31 // 11.01.01 E.Medernach: Use G4PolynomialSolve << 30 // class G4Torus
32 // 03.05.05 V.Grichine: SurfaceNormal(p) accor << 31 //
33 // 25.08.05 O.Link: new methods for DistanceTo << 32 // Implementation
34 // 28.10.16 E.Tcherniaev: new CalculateExtent( << 33 //
35 // 16.12.16 H.Burkhardt: use radius difference 34 // 16.12.16 H.Burkhardt: use radius differences and hypot to improve precision
36 // ------------------------------------------- << 35 // 28.10.16 E.Tcherniaev: reimplemented CalculateExtent(),
>> 36 // removed CreateRotatedVertices()
>> 37 // 05.04.12 M.Kelsey: Use sqrt(r) in GetPointOnSurface() for uniform points
>> 38 // 02.10.07 T.Nikitina: Bug fixed in SolveNumericJT(), b.969:segmentation fault.
>> 39 // rootsrefined is used only if the number of refined roots
>> 40 // is the same as for primary roots.
>> 41 // 02.10.07 T.Nikitina: Bug fixed in CalculateExtent() for case of non-rotated
>> 42 // full-phi torus:protect against negative value for sqrt,
>> 43 // correct formula for delta.
>> 44 // 20.11.05 V.Grichine: Bug fixed in Inside(p) for phi sections, b.810
>> 45 // 25.08.05 O.Link: new methods for DistanceToIn/Out using JTPolynomialSolver
>> 46 // 07.06.05 V.Grichine: SurfaceNormal(p) for rho=0, Constructor as G4Cons
>> 47 // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal
>> 48 // 18.03.04 V.Grichine: bug fixed in DistanceToIn(p)
>> 49 // 11.01.01 E.Medernach: Use G4PolynomialSolver to find roots
>> 50 // 03.10.00 E.Medernach: SafeNewton added
>> 51 // 31.08.00 E.Medernach: numerical computation of roots wuth bounding
>> 52 // volume technique
>> 53 // 26.05.00 V.Grichine: new fuctions developed by O.Cremonesi were added
>> 54 // 06.03.00 V.Grichine: modifications in Distance ToOut(p,v,...)
>> 55 // 19.11.99 V.Grichine: side = kNull in Distance ToOut(p,v,...)
>> 56 // 09.10.98 V.Grichine: modifications in Distance ToOut(p,v,...)
>> 57 // 30.10.96 V.Grichine: first implementation with G4Tubs elements in Fs
>> 58 //
37 59
38 #include "G4Torus.hh" 60 #include "G4Torus.hh"
39 61
40 #if !(defined(G4GEOM_USE_UTORUS) && defined(G4 62 #if !(defined(G4GEOM_USE_UTORUS) && defined(G4GEOM_USE_SYS_USOLIDS))
41 63
42 #include "G4GeomTools.hh" 64 #include "G4GeomTools.hh"
43 #include "G4VoxelLimits.hh" 65 #include "G4VoxelLimits.hh"
44 #include "G4AffineTransform.hh" 66 #include "G4AffineTransform.hh"
45 #include "G4BoundingEnvelope.hh" 67 #include "G4BoundingEnvelope.hh"
46 #include "G4GeometryTolerance.hh" 68 #include "G4GeometryTolerance.hh"
47 #include "G4JTPolynomialSolver.hh" 69 #include "G4JTPolynomialSolver.hh"
48 70
49 #include "G4VPVParameterisation.hh" 71 #include "G4VPVParameterisation.hh"
50 72
51 #include "meshdefs.hh" 73 #include "meshdefs.hh"
52 74
53 #include "Randomize.hh" 75 #include "Randomize.hh"
54 76
55 #include "G4VGraphicsScene.hh" 77 #include "G4VGraphicsScene.hh"
56 #include "G4Polyhedron.hh" 78 #include "G4Polyhedron.hh"
57 79
58 using namespace CLHEP; 80 using namespace CLHEP;
59 81
60 ////////////////////////////////////////////// 82 ///////////////////////////////////////////////////////////////
61 // 83 //
62 // Constructor - check parameters, convert ang 84 // Constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI
63 // - note if pdphi>2PI then reset 85 // - note if pdphi>2PI then reset to 2PI
64 86
65 G4Torus::G4Torus( const G4String& pName, << 87 G4Torus::G4Torus( const G4String &pName,
66 G4double pRmin, 88 G4double pRmin,
67 G4double pRmax, 89 G4double pRmax,
68 G4double pRtor, 90 G4double pRtor,
69 G4double pSPhi, 91 G4double pSPhi,
70 G4double pDPhi ) << 92 G4double pDPhi)
71 : G4CSGSolid(pName) 93 : G4CSGSolid(pName)
72 { 94 {
73 SetAllParameters(pRmin, pRmax, pRtor, pSPhi, 95 SetAllParameters(pRmin, pRmax, pRtor, pSPhi, pDPhi);
74 } 96 }
75 97
76 ////////////////////////////////////////////// 98 ////////////////////////////////////////////////////////////////////////////
77 // 99 //
78 // 100 //
79 101
80 void 102 void
81 G4Torus::SetAllParameters( G4double pRmin, 103 G4Torus::SetAllParameters( G4double pRmin,
82 G4double pRmax, 104 G4double pRmax,
83 G4double pRtor, 105 G4double pRtor,
84 G4double pSPhi, 106 G4double pSPhi,
85 G4double pDPhi ) 107 G4double pDPhi )
86 { 108 {
87 const G4double fEpsilon = 4.e-11; // relati 109 const G4double fEpsilon = 4.e-11; // relative tolerance of radii
88 110
89 fCubicVolume = 0.; 111 fCubicVolume = 0.;
90 fSurfaceArea = 0.; 112 fSurfaceArea = 0.;
91 fRebuildPolyhedron = true; 113 fRebuildPolyhedron = true;
92 114
93 kRadTolerance = G4GeometryTolerance::GetInst 115 kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
94 kAngTolerance = G4GeometryTolerance::GetInst 116 kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();
95 117
96 halfCarTolerance = 0.5*kCarTolerance; 118 halfCarTolerance = 0.5*kCarTolerance;
97 halfAngTolerance = 0.5*kAngTolerance; 119 halfAngTolerance = 0.5*kAngTolerance;
98 120
99 if ( pRtor >= pRmax+1.e3*kCarTolerance ) // 121 if ( pRtor >= pRmax+1.e3*kCarTolerance ) // Check swept radius, as in G4Cons
100 { 122 {
101 fRtor = pRtor ; 123 fRtor = pRtor ;
102 } 124 }
103 else 125 else
104 { 126 {
105 std::ostringstream message; 127 std::ostringstream message;
106 message << "Invalid swept radius for Solid 128 message << "Invalid swept radius for Solid: " << GetName() << G4endl
107 << " pRtor = " << pRtor << 129 << " pRtor = " << pRtor << ", pRmax = " << pRmax;
108 G4Exception("G4Torus::SetAllParameters()", 130 G4Exception("G4Torus::SetAllParameters()",
109 "GeomSolids0002", FatalExcepti 131 "GeomSolids0002", FatalException, message);
110 } 132 }
111 133
112 // Check radii, as in G4Cons 134 // Check radii, as in G4Cons
113 // 135 //
114 if ( pRmin < pRmax - 1.e2*kCarTolerance && p 136 if ( pRmin < pRmax - 1.e2*kCarTolerance && pRmin >= 0 )
115 { 137 {
116 if (pRmin >= 1.e2*kCarTolerance) { fRmin = 138 if (pRmin >= 1.e2*kCarTolerance) { fRmin = pRmin ; }
117 else { fRmin = 139 else { fRmin = 0.0 ; }
118 fRmax = pRmax ; 140 fRmax = pRmax ;
119 } 141 }
120 else 142 else
121 { 143 {
122 std::ostringstream message; 144 std::ostringstream message;
123 message << "Invalid values of radii for So 145 message << "Invalid values of radii for Solid: " << GetName() << G4endl
124 << " pRmin = " << pRmin << 146 << " pRmin = " << pRmin << ", pRmax = " << pRmax;
125 G4Exception("G4Torus::SetAllParameters()", 147 G4Exception("G4Torus::SetAllParameters()",
126 "GeomSolids0002", FatalExcepti 148 "GeomSolids0002", FatalException, message);
127 } 149 }
128 150
129 // Relative tolerances 151 // Relative tolerances
130 // 152 //
131 fRminTolerance = (fRmin) != 0.0 << 153 fRminTolerance = (fRmin)
132 ? 0.5*std::max( kRadTolerance 154 ? 0.5*std::max( kRadTolerance, fEpsilon*(fRtor-fRmin )) : 0;
133 fRmaxTolerance = 0.5*std::max( kRadTolerance 155 fRmaxTolerance = 0.5*std::max( kRadTolerance, fEpsilon*(fRtor+fRmax) );
134 156
135 // Check angles 157 // Check angles
136 // 158 //
137 if ( pDPhi >= twopi ) { fDPhi = twopi ; } 159 if ( pDPhi >= twopi ) { fDPhi = twopi ; }
138 else 160 else
139 { 161 {
140 if (pDPhi > 0) { fDPhi = pDPhi ; } 162 if (pDPhi > 0) { fDPhi = pDPhi ; }
141 else 163 else
142 { 164 {
143 std::ostringstream message; 165 std::ostringstream message;
144 message << "Invalid Z delta-Phi for Soli 166 message << "Invalid Z delta-Phi for Solid: " << GetName() << G4endl
145 << " pDPhi = " << pDPhi; 167 << " pDPhi = " << pDPhi;
146 G4Exception("G4Torus::SetAllParameters() 168 G4Exception("G4Torus::SetAllParameters()",
147 "GeomSolids0002", FatalExcep 169 "GeomSolids0002", FatalException, message);
148 } 170 }
149 } 171 }
150 172
151 // Ensure psphi in 0-2PI or -2PI-0 range if 173 // Ensure psphi in 0-2PI or -2PI-0 range if shape crosses 0
152 // 174 //
153 fSPhi = pSPhi; 175 fSPhi = pSPhi;
154 176
155 if (fSPhi < 0) { fSPhi = twopi-std::fmod(st 177 if (fSPhi < 0) { fSPhi = twopi-std::fmod(std::fabs(fSPhi),twopi) ; }
156 else { fSPhi = std::fmod(fSPhi,tw 178 else { fSPhi = std::fmod(fSPhi,twopi) ; }
157 179
158 if (fSPhi+fDPhi > twopi) { fSPhi-=twopi ; } 180 if (fSPhi+fDPhi > twopi) { fSPhi-=twopi ; }
159 } 181 }
160 182
161 ////////////////////////////////////////////// 183 ///////////////////////////////////////////////////////////////////////
162 // 184 //
163 // Fake default constructor - sets only member 185 // Fake default constructor - sets only member data and allocates memory
164 // for usage restri 186 // for usage restricted to object persistency.
165 // 187 //
166 G4Torus::G4Torus( __void__& a ) 188 G4Torus::G4Torus( __void__& a )
167 : G4CSGSolid(a) << 189 : G4CSGSolid(a), fRmin(0.), fRmax(0.), fRtor(0.), fSPhi(0.),
>> 190 fDPhi(0.), fRminTolerance(0.), fRmaxTolerance(0. ),
>> 191 kRadTolerance(0.), kAngTolerance(0.),
>> 192 halfCarTolerance(0.), halfAngTolerance(0.)
168 { 193 {
169 } 194 }
170 195
171 ////////////////////////////////////////////// 196 //////////////////////////////////////////////////////////////////////
172 // 197 //
173 // Destructor 198 // Destructor
174 199
175 G4Torus::~G4Torus() = default; << 200 G4Torus::~G4Torus()
>> 201 {}
176 202
177 ////////////////////////////////////////////// 203 //////////////////////////////////////////////////////////////////////////
178 // 204 //
179 // Copy constructor 205 // Copy constructor
180 206
181 G4Torus::G4Torus(const G4Torus&) = default; << 207 G4Torus::G4Torus(const G4Torus& rhs)
>> 208 : G4CSGSolid(rhs), fRmin(rhs.fRmin),fRmax(rhs.fRmax),
>> 209 fRtor(rhs.fRtor),fSPhi(rhs.fSPhi),fDPhi(rhs.fDPhi),
>> 210 fRminTolerance(rhs.fRminTolerance), fRmaxTolerance(rhs.fRmaxTolerance),
>> 211 kRadTolerance(rhs.kRadTolerance), kAngTolerance(rhs.kAngTolerance),
>> 212 halfCarTolerance(rhs.halfCarTolerance),
>> 213 halfAngTolerance(rhs.halfAngTolerance)
>> 214 {
>> 215 }
182 216
183 ////////////////////////////////////////////// 217 //////////////////////////////////////////////////////////////////////////
184 // 218 //
185 // Assignment operator 219 // Assignment operator
186 220
187 G4Torus& G4Torus::operator = (const G4Torus& r 221 G4Torus& G4Torus::operator = (const G4Torus& rhs)
188 { 222 {
189 // Check assignment to self 223 // Check assignment to self
190 // 224 //
191 if (this == &rhs) { return *this; } 225 if (this == &rhs) { return *this; }
192 226
193 // Copy base class data 227 // Copy base class data
194 // 228 //
195 G4CSGSolid::operator=(rhs); 229 G4CSGSolid::operator=(rhs);
196 230
197 // Copy data 231 // Copy data
198 // 232 //
199 fRmin = rhs.fRmin; fRmax = rhs.fRmax; 233 fRmin = rhs.fRmin; fRmax = rhs.fRmax;
200 fRtor = rhs.fRtor; fSPhi = rhs.fSPhi; fDPhi 234 fRtor = rhs.fRtor; fSPhi = rhs.fSPhi; fDPhi = rhs.fDPhi;
201 fRminTolerance = rhs.fRminTolerance; fRmaxT 235 fRminTolerance = rhs.fRminTolerance; fRmaxTolerance = rhs.fRmaxTolerance;
202 kRadTolerance = rhs.kRadTolerance; kAngTole 236 kRadTolerance = rhs.kRadTolerance; kAngTolerance = rhs.kAngTolerance;
203 halfCarTolerance = rhs.halfCarTolerance; 237 halfCarTolerance = rhs.halfCarTolerance;
204 halfAngTolerance = rhs.halfAngTolerance; 238 halfAngTolerance = rhs.halfAngTolerance;
205 239
206 return *this; 240 return *this;
207 } 241 }
208 242
209 ////////////////////////////////////////////// 243 //////////////////////////////////////////////////////////////////////
210 // 244 //
211 // Dispatch to parameterisation for replicatio 245 // Dispatch to parameterisation for replication mechanism dimension
212 // computation & modification. 246 // computation & modification.
213 247
214 void G4Torus::ComputeDimensions( G4VPVPa 248 void G4Torus::ComputeDimensions( G4VPVParameterisation* p,
215 const G4int n 249 const G4int n,
216 const G4VPhys 250 const G4VPhysicalVolume* pRep )
217 { 251 {
218 p->ComputeDimensions(*this,n,pRep); 252 p->ComputeDimensions(*this,n,pRep);
219 } 253 }
220 254
221 255
222 256
223 ////////////////////////////////////////////// 257 ////////////////////////////////////////////////////////////////////////////////
224 // 258 //
225 // Calculate the real roots to torus surface. 259 // Calculate the real roots to torus surface.
226 // Returns negative solutions as well. 260 // Returns negative solutions as well.
227 261
228 void G4Torus::TorusRootsJT( const G4ThreeVecto 262 void G4Torus::TorusRootsJT( const G4ThreeVector& p,
229 const G4ThreeVecto 263 const G4ThreeVector& v,
230 G4double r, 264 G4double r,
231 std::vector< 265 std::vector<G4double>& roots ) const
232 { 266 {
233 267
234 G4int i, num ; 268 G4int i, num ;
235 G4double c[5], srd[4], si[4] ; 269 G4double c[5], srd[4], si[4] ;
236 270
237 G4double Rtor2 = fRtor*fRtor, r2 = r*r ; 271 G4double Rtor2 = fRtor*fRtor, r2 = r*r ;
238 272
239 G4double pDotV = p.x()*v.x() + p.y()*v.y() + 273 G4double pDotV = p.x()*v.x() + p.y()*v.y() + p.z()*v.z() ;
240 G4double pRad2 = p.x()*p.x() + p.y()*p.y() + 274 G4double pRad2 = p.x()*p.x() + p.y()*p.y() + p.z()*p.z() ;
241 275
242 G4double d=pRad2 - Rtor2; 276 G4double d=pRad2 - Rtor2;
243 c[0] = 1.0 ; 277 c[0] = 1.0 ;
244 c[1] = 4*pDotV ; 278 c[1] = 4*pDotV ;
245 c[2] = 2*( (d + 2*pDotV*pDotV - r2) + 2*Rto 279 c[2] = 2*( (d + 2*pDotV*pDotV - r2) + 2*Rtor2*v.z()*v.z());
246 c[3] = 4*(pDotV*(d - r2) + 2*Rtor2*p.z()*v.z 280 c[3] = 4*(pDotV*(d - r2) + 2*Rtor2*p.z()*v.z()) ;
247 c[4] = (d-r2)*(d-r2) +4*Rtor2*(p.z()*p.z()-r 281 c[4] = (d-r2)*(d-r2) +4*Rtor2*(p.z()*p.z()-r2);
248 282
249 G4JTPolynomialSolver torusEq; 283 G4JTPolynomialSolver torusEq;
250 284
251 num = torusEq.FindRoots( c, 4, srd, si ); 285 num = torusEq.FindRoots( c, 4, srd, si );
252 286
253 for ( i = 0; i < num; ++i ) << 287 for ( i = 0; i < num; i++ )
254 { 288 {
255 if( si[i] == 0. ) { roots.push_back(srd[i 289 if( si[i] == 0. ) { roots.push_back(srd[i]) ; } // store real roots
256 } 290 }
257 291
258 std::sort(roots.begin() , roots.end() ) ; / 292 std::sort(roots.begin() , roots.end() ) ; // sorting with <
259 } 293 }
260 294
261 ////////////////////////////////////////////// 295 //////////////////////////////////////////////////////////////////////////////
262 // 296 //
263 // Interface for DistanceToIn and DistanceToOu 297 // Interface for DistanceToIn and DistanceToOut.
264 // Calls TorusRootsJT and returns the smalles 298 // Calls TorusRootsJT and returns the smalles possible distance to
265 // the surface. 299 // the surface.
266 // Attention: Difference in DistanceToIn/Out f 300 // Attention: Difference in DistanceToIn/Out for points p on the surface.
267 301
268 G4double G4Torus::SolveNumericJT( const G4Thre 302 G4double G4Torus::SolveNumericJT( const G4ThreeVector& p,
269 const G4Thre 303 const G4ThreeVector& v,
270 G4doub 304 G4double r,
271 G4bool 305 G4bool IsDistanceToIn ) const
272 { 306 {
273 G4double bigdist = 10*mm ; 307 G4double bigdist = 10*mm ;
274 G4double tmin = kInfinity ; 308 G4double tmin = kInfinity ;
275 G4double t, scal ; 309 G4double t, scal ;
276 310
277 // calculate the distances to the intersecti 311 // calculate the distances to the intersections with the Torus
278 // from a given point p and direction v. 312 // from a given point p and direction v.
279 // 313 //
280 std::vector<G4double> roots ; 314 std::vector<G4double> roots ;
281 std::vector<G4double> rootsrefined ; 315 std::vector<G4double> rootsrefined ;
282 TorusRootsJT(p,v,r,roots) ; 316 TorusRootsJT(p,v,r,roots) ;
283 317
284 G4ThreeVector ptmp ; 318 G4ThreeVector ptmp ;
285 319
286 // determine the smallest non-negative solut 320 // determine the smallest non-negative solution
287 // 321 //
288 for ( std::size_t k = 0 ; k<roots.size() ; + << 322 for ( size_t k = 0 ; k<roots.size() ; k++ )
289 { 323 {
290 t = roots[k] ; 324 t = roots[k] ;
291 325
292 if ( t < -halfCarTolerance ) { continue ; 326 if ( t < -halfCarTolerance ) { continue ; } // skip negative roots
293 327
294 if ( t > bigdist && t<kInfinity ) // pr 328 if ( t > bigdist && t<kInfinity ) // problem with big distances
295 { 329 {
296 ptmp = p + t*v ; 330 ptmp = p + t*v ;
297 TorusRootsJT(ptmp,v,r,rootsrefined) ; 331 TorusRootsJT(ptmp,v,r,rootsrefined) ;
298 if ( rootsrefined.size()==roots.size() ) 332 if ( rootsrefined.size()==roots.size() )
299 { 333 {
300 t = t + rootsrefined[k] ; 334 t = t + rootsrefined[k] ;
301 } 335 }
302 } 336 }
303 337
304 ptmp = p + t*v ; // calculate the positi 338 ptmp = p + t*v ; // calculate the position of the proposed intersection
305 339
306 G4double theta = std::atan2(ptmp.y(),ptmp. 340 G4double theta = std::atan2(ptmp.y(),ptmp.x());
307 341
308 if ( fSPhi >= 0 ) 342 if ( fSPhi >= 0 )
309 { 343 {
310 if ( theta < - halfAngTolerance ) { the 344 if ( theta < - halfAngTolerance ) { theta += twopi; }
311 if ( (std::fabs(theta) < halfAngToleranc 345 if ( (std::fabs(theta) < halfAngTolerance)
312 && (std::fabs(fSPhi + fDPhi - twopi) < 346 && (std::fabs(fSPhi + fDPhi - twopi) < halfAngTolerance) )
313 { 347 {
314 theta += twopi ; // 0 <= theta < 2pi 348 theta += twopi ; // 0 <= theta < 2pi
315 } 349 }
316 } 350 }
317 if ((fSPhi <= -pi )&&(theta>halfAngToleran 351 if ((fSPhi <= -pi )&&(theta>halfAngTolerance)) { theta = theta-twopi; }
318 352
319 // We have to verify if this root is insid 353 // We have to verify if this root is inside the region between
320 // fSPhi and fSPhi + fDPhi 354 // fSPhi and fSPhi + fDPhi
321 // 355 //
322 if ( (theta - fSPhi >= - halfAngTolerance) 356 if ( (theta - fSPhi >= - halfAngTolerance)
323 && (theta - (fSPhi + fDPhi) <= halfAngT 357 && (theta - (fSPhi + fDPhi) <= halfAngTolerance) )
324 { 358 {
325 // check if P is on the surface, and cal 359 // check if P is on the surface, and called from DistanceToIn
326 // DistanceToIn has to return 0.0 if par 360 // DistanceToIn has to return 0.0 if particle is going inside the solid
327 361
328 if ( IsDistanceToIn ) << 362 if ( IsDistanceToIn == true )
329 { 363 {
330 if (std::fabs(t) < halfCarTolerance ) 364 if (std::fabs(t) < halfCarTolerance )
331 { 365 {
332 // compute scalar product at positio 366 // compute scalar product at position p : v.n
333 // ( n taken from SurfaceNormal, not 367 // ( n taken from SurfaceNormal, not normalized )
334 368
335 scal = v* G4ThreeVector( p.x()*(1-fR 369 scal = v* G4ThreeVector( p.x()*(1-fRtor/std::hypot(p.x(),p.y())),
336 p.y()*(1-fR 370 p.y()*(1-fRtor/std::hypot(p.x(),p.y())),
337 p.z() ); 371 p.z() );
338 372
339 // change sign in case of inner radi 373 // change sign in case of inner radius
340 // 374 //
341 if ( r == GetRmin() ) { scal = -sca 375 if ( r == GetRmin() ) { scal = -scal ; }
342 if ( scal < 0 ) { return 0.0 ; } 376 if ( scal < 0 ) { return 0.0 ; }
343 } 377 }
344 } 378 }
345 379
346 // check if P is on the surface, and cal 380 // check if P is on the surface, and called from DistanceToOut
347 // DistanceToIn has to return 0.0 if par 381 // DistanceToIn has to return 0.0 if particle is leaving the solid
348 382
349 if ( !IsDistanceToIn ) << 383 if ( IsDistanceToIn == false )
350 { 384 {
351 if (std::fabs(t) < halfCarTolerance ) 385 if (std::fabs(t) < halfCarTolerance )
352 { 386 {
353 // compute scalar product at positio 387 // compute scalar product at position p : v.n
354 // 388 //
355 scal = v* G4ThreeVector( p.x()*(1-fR 389 scal = v* G4ThreeVector( p.x()*(1-fRtor/std::hypot(p.x(),p.y())),
356 p.y()*(1-fR 390 p.y()*(1-fRtor/std::hypot(p.x(),p.y())),
357 p.z() ); 391 p.z() );
358 392
359 // change sign in case of inner radi 393 // change sign in case of inner radius
360 // 394 //
361 if ( r == GetRmin() ) { scal = -sca 395 if ( r == GetRmin() ) { scal = -scal ; }
362 if ( scal > 0 ) { return 0.0 ; } 396 if ( scal > 0 ) { return 0.0 ; }
363 } 397 }
364 } 398 }
365 399
366 // check if distance is larger than 1/2 400 // check if distance is larger than 1/2 kCarTolerance
367 // 401 //
368 if( t > halfCarTolerance ) 402 if( t > halfCarTolerance )
369 { 403 {
370 tmin = t ; 404 tmin = t ;
371 return tmin ; 405 return tmin ;
372 } 406 }
373 } 407 }
374 } 408 }
375 409
376 return tmin; 410 return tmin;
377 } 411 }
378 412
379 ////////////////////////////////////////////// 413 /////////////////////////////////////////////////////////////////////////////
380 // 414 //
381 // Get bounding box 415 // Get bounding box
382 416
383 void G4Torus::BoundingLimits(G4ThreeVector& pM 417 void G4Torus::BoundingLimits(G4ThreeVector& pMin, G4ThreeVector& pMax) const
384 { 418 {
385 G4double rmax = GetRmax(); 419 G4double rmax = GetRmax();
386 G4double rtor = GetRtor(); 420 G4double rtor = GetRtor();
387 G4double rint = rtor - rmax; 421 G4double rint = rtor - rmax;
388 G4double rext = rtor + rmax; 422 G4double rext = rtor + rmax;
389 G4double dz = rmax; 423 G4double dz = rmax;
390 424
391 // Find bounding box 425 // Find bounding box
392 // 426 //
393 if (GetDPhi() >= twopi) 427 if (GetDPhi() >= twopi)
394 { 428 {
395 pMin.set(-rext,-rext,-dz); 429 pMin.set(-rext,-rext,-dz);
396 pMax.set( rext, rext, dz); 430 pMax.set( rext, rext, dz);
397 } 431 }
398 else 432 else
399 { 433 {
400 G4TwoVector vmin,vmax; 434 G4TwoVector vmin,vmax;
401 G4GeomTools::DiskExtent(rint,rext, 435 G4GeomTools::DiskExtent(rint,rext,
402 GetSinStartPhi(),G 436 GetSinStartPhi(),GetCosStartPhi(),
403 GetSinEndPhi(),Get 437 GetSinEndPhi(),GetCosEndPhi(),
404 vmin,vmax); 438 vmin,vmax);
405 pMin.set(vmin.x(),vmin.y(),-dz); 439 pMin.set(vmin.x(),vmin.y(),-dz);
406 pMax.set(vmax.x(),vmax.y(), dz); 440 pMax.set(vmax.x(),vmax.y(), dz);
407 } 441 }
408 442
409 // Check correctness of the bounding box 443 // Check correctness of the bounding box
410 // 444 //
411 if (pMin.x() >= pMax.x() || pMin.y() >= pMax 445 if (pMin.x() >= pMax.x() || pMin.y() >= pMax.y() || pMin.z() >= pMax.z())
412 { 446 {
413 std::ostringstream message; 447 std::ostringstream message;
414 message << "Bad bounding box (min >= max) 448 message << "Bad bounding box (min >= max) for solid: "
415 << GetName() << " !" 449 << GetName() << " !"
416 << "\npMin = " << pMin 450 << "\npMin = " << pMin
417 << "\npMax = " << pMax; 451 << "\npMax = " << pMax;
418 G4Exception("G4Torus::BoundingLimits()", " 452 G4Exception("G4Torus::BoundingLimits()", "GeomMgt0001",
419 JustWarning, message); 453 JustWarning, message);
420 DumpInfo(); 454 DumpInfo();
421 } 455 }
422 } 456 }
423 457
424 ////////////////////////////////////////////// 458 /////////////////////////////////////////////////////////////////////////////
425 // 459 //
426 // Calculate extent under transform and specif 460 // Calculate extent under transform and specified limit
427 461
428 G4bool G4Torus::CalculateExtent( const EAxis p 462 G4bool G4Torus::CalculateExtent( const EAxis pAxis,
429 const G4Voxel 463 const G4VoxelLimits& pVoxelLimit,
430 const G4Affin 464 const G4AffineTransform& pTransform,
431 G4doubl 465 G4double& pMin, G4double& pMax) const
432 { 466 {
433 G4ThreeVector bmin, bmax; 467 G4ThreeVector bmin, bmax;
434 G4bool exist; 468 G4bool exist;
435 469
436 // Get bounding box 470 // Get bounding box
437 BoundingLimits(bmin,bmax); 471 BoundingLimits(bmin,bmax);
438 472
439 // Check bounding box 473 // Check bounding box
440 G4BoundingEnvelope bbox(bmin,bmax); 474 G4BoundingEnvelope bbox(bmin,bmax);
441 #ifdef G4BBOX_EXTENT 475 #ifdef G4BBOX_EXTENT
442 return bbox.CalculateExtent(pAxis,pVoxelLimi << 476 if (true) return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
443 #endif 477 #endif
444 if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVox 478 if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVoxelLimit,pTransform,pMin,pMax))
445 { 479 {
446 return exist = pMin < pMax; << 480 return exist = (pMin < pMax) ? true : false;
447 } 481 }
448 482
449 // Get parameters of the solid 483 // Get parameters of the solid
450 G4double rmin = GetRmin(); 484 G4double rmin = GetRmin();
451 G4double rmax = GetRmax(); 485 G4double rmax = GetRmax();
452 G4double rtor = GetRtor(); 486 G4double rtor = GetRtor();
453 G4double dphi = GetDPhi(); 487 G4double dphi = GetDPhi();
454 G4double sinStart = GetSinStartPhi(); 488 G4double sinStart = GetSinStartPhi();
455 G4double cosStart = GetCosStartPhi(); 489 G4double cosStart = GetCosStartPhi();
456 G4double sinEnd = GetSinEndPhi(); 490 G4double sinEnd = GetSinEndPhi();
457 G4double cosEnd = GetCosEndPhi(); 491 G4double cosEnd = GetCosEndPhi();
458 G4double rint = rtor - rmax; 492 G4double rint = rtor - rmax;
459 G4double rext = rtor + rmax; 493 G4double rext = rtor + rmax;
460 494
461 // Find bounding envelope and calculate exte 495 // Find bounding envelope and calculate extent
462 // 496 //
463 static const G4int NPHI = 24; // number of 497 static const G4int NPHI = 24; // number of steps for whole torus
464 static const G4int NDISK = 16; // number of 498 static const G4int NDISK = 16; // number of steps for disk
465 static const G4double sinHalfDisk = std::sin 499 static const G4double sinHalfDisk = std::sin(pi/NDISK);
466 static const G4double cosHalfDisk = std::cos 500 static const G4double cosHalfDisk = std::cos(pi/NDISK);
467 static const G4double sinStepDisk = 2.*sinHa 501 static const G4double sinStepDisk = 2.*sinHalfDisk*cosHalfDisk;
468 static const G4double cosStepDisk = 1. - 2.* 502 static const G4double cosStepDisk = 1. - 2.*sinHalfDisk*sinHalfDisk;
469 503
470 G4double astep = (360/NPHI)*deg; // max angl 504 G4double astep = (360/NPHI)*deg; // max angle for one slice in phi
471 G4int kphi = (dphi <= astep) ? 1 : (G4in 505 G4int kphi = (dphi <= astep) ? 1 : (G4int)((dphi-deg)/astep) + 1;
472 G4double ang = dphi/kphi; 506 G4double ang = dphi/kphi;
473 507
474 G4double sinHalf = std::sin(0.5*ang); 508 G4double sinHalf = std::sin(0.5*ang);
475 G4double cosHalf = std::cos(0.5*ang); 509 G4double cosHalf = std::cos(0.5*ang);
476 G4double sinStep = 2.*sinHalf*cosHalf; 510 G4double sinStep = 2.*sinHalf*cosHalf;
477 G4double cosStep = 1. - 2.*sinHalf*sinHalf; 511 G4double cosStep = 1. - 2.*sinHalf*sinHalf;
478 512
479 // define vectors for bounding envelope 513 // define vectors for bounding envelope
480 G4ThreeVectorList pols[NDISK+1]; 514 G4ThreeVectorList pols[NDISK+1];
481 for (auto & pol : pols) pol.resize(4); << 515 for (G4int k=0; k<NDISK+1; ++k) pols[k].resize(4);
482 516
483 std::vector<const G4ThreeVectorList *> polyg 517 std::vector<const G4ThreeVectorList *> polygons;
484 polygons.resize(NDISK+1); 518 polygons.resize(NDISK+1);
485 for (G4int k=0; k<NDISK+1; ++k) polygons[k] 519 for (G4int k=0; k<NDISK+1; ++k) polygons[k] = &pols[k];
486 520
487 // set internal and external reference circl 521 // set internal and external reference circles
488 G4TwoVector rzmin[NDISK]; 522 G4TwoVector rzmin[NDISK];
489 G4TwoVector rzmax[NDISK]; 523 G4TwoVector rzmax[NDISK];
490 524
491 if ((rtor-rmin*sinHalfDisk)/cosHalf > (rtor+ 525 if ((rtor-rmin*sinHalfDisk)/cosHalf > (rtor+rmin*sinHalfDisk)) rmin = 0;
492 rmax /= cosHalfDisk; 526 rmax /= cosHalfDisk;
493 G4double sinCurDisk = sinHalfDisk; 527 G4double sinCurDisk = sinHalfDisk;
494 G4double cosCurDisk = cosHalfDisk; 528 G4double cosCurDisk = cosHalfDisk;
495 for (G4int k=0; k<NDISK; ++k) 529 for (G4int k=0; k<NDISK; ++k)
496 { 530 {
497 G4double rmincur = rtor + rmin*cosCurDisk; 531 G4double rmincur = rtor + rmin*cosCurDisk;
498 if (cosCurDisk < 0 && rmin > 0) rmincur /= 532 if (cosCurDisk < 0 && rmin > 0) rmincur /= cosHalf;
499 rzmin[k].set(rmincur,rmin*sinCurDisk); 533 rzmin[k].set(rmincur,rmin*sinCurDisk);
500 534
501 G4double rmaxcur = rtor + rmax*cosCurDisk; 535 G4double rmaxcur = rtor + rmax*cosCurDisk;
502 if (cosCurDisk > 0) rmaxcur /= cosHalf; 536 if (cosCurDisk > 0) rmaxcur /= cosHalf;
503 rzmax[k].set(rmaxcur,rmax*sinCurDisk); 537 rzmax[k].set(rmaxcur,rmax*sinCurDisk);
504 538
505 G4double sinTmpDisk = sinCurDisk; 539 G4double sinTmpDisk = sinCurDisk;
506 sinCurDisk = sinCurDisk*cosStepDisk + cosC 540 sinCurDisk = sinCurDisk*cosStepDisk + cosCurDisk*sinStepDisk;
507 cosCurDisk = cosCurDisk*cosStepDisk - sinT 541 cosCurDisk = cosCurDisk*cosStepDisk - sinTmpDisk*sinStepDisk;
508 } 542 }
509 543
510 // Loop along slices in Phi. The extent is c 544 // Loop along slices in Phi. The extent is calculated as cumulative
511 // extent of the slices 545 // extent of the slices
512 pMin = kInfinity; 546 pMin = kInfinity;
513 pMax = -kInfinity; 547 pMax = -kInfinity;
514 G4double eminlim = pVoxelLimit.GetMinExtent( 548 G4double eminlim = pVoxelLimit.GetMinExtent(pAxis);
515 G4double emaxlim = pVoxelLimit.GetMaxExtent( 549 G4double emaxlim = pVoxelLimit.GetMaxExtent(pAxis);
516 G4double sinCur1 = 0, cosCur1 = 0, sinCur2 = 550 G4double sinCur1 = 0, cosCur1 = 0, sinCur2 = 0, cosCur2 = 0;
517 for (G4int i=0; i<kphi+1; ++i) 551 for (G4int i=0; i<kphi+1; ++i)
518 { 552 {
519 if (i == 0) 553 if (i == 0)
520 { 554 {
521 sinCur1 = sinStart; 555 sinCur1 = sinStart;
522 cosCur1 = cosStart; 556 cosCur1 = cosStart;
523 sinCur2 = sinCur1*cosHalf + cosCur1*sinH 557 sinCur2 = sinCur1*cosHalf + cosCur1*sinHalf;
524 cosCur2 = cosCur1*cosHalf - sinCur1*sinH 558 cosCur2 = cosCur1*cosHalf - sinCur1*sinHalf;
525 } 559 }
526 else 560 else
527 { 561 {
528 sinCur1 = sinCur2; 562 sinCur1 = sinCur2;
529 cosCur1 = cosCur2; 563 cosCur1 = cosCur2;
530 sinCur2 = (i == kphi) ? sinEnd : sinCur1 564 sinCur2 = (i == kphi) ? sinEnd : sinCur1*cosStep + cosCur1*sinStep;
531 cosCur2 = (i == kphi) ? cosEnd : cosCur1 565 cosCur2 = (i == kphi) ? cosEnd : cosCur1*cosStep - sinCur1*sinStep;
532 } 566 }
533 for (G4int k=0; k<NDISK; ++k) 567 for (G4int k=0; k<NDISK; ++k)
534 { 568 {
535 G4double r1 = rzmin[k].x(), r2 = rzmax[k 569 G4double r1 = rzmin[k].x(), r2 = rzmax[k].x();
536 G4double z1 = rzmin[k].y(), z2 = rzmax[k 570 G4double z1 = rzmin[k].y(), z2 = rzmax[k].y();
537 pols[k][0].set(r1*cosCur1,r1*sinCur1,z1) 571 pols[k][0].set(r1*cosCur1,r1*sinCur1,z1);
538 pols[k][1].set(r2*cosCur1,r2*sinCur1,z2) 572 pols[k][1].set(r2*cosCur1,r2*sinCur1,z2);
539 pols[k][2].set(r2*cosCur2,r2*sinCur2,z2) 573 pols[k][2].set(r2*cosCur2,r2*sinCur2,z2);
540 pols[k][3].set(r1*cosCur2,r1*sinCur2,z1) 574 pols[k][3].set(r1*cosCur2,r1*sinCur2,z1);
541 } 575 }
542 pols[NDISK] = pols[0]; 576 pols[NDISK] = pols[0];
543 577
544 // get bounding box of current slice 578 // get bounding box of current slice
545 G4TwoVector vmin,vmax; 579 G4TwoVector vmin,vmax;
546 G4GeomTools:: 580 G4GeomTools::
547 DiskExtent(rint,rext,sinCur1,cosCur1,sin 581 DiskExtent(rint,rext,sinCur1,cosCur1,sinCur2,cosCur2,vmin,vmax);
548 bmin.setX(vmin.x()); bmin.setY(vmin.y()); 582 bmin.setX(vmin.x()); bmin.setY(vmin.y());
549 bmax.setX(vmax.x()); bmax.setY(vmax.y()); 583 bmax.setX(vmax.x()); bmax.setY(vmax.y());
550 584
551 // set bounding envelope for current slice 585 // set bounding envelope for current slice and adjust extent
552 G4double emin,emax; 586 G4double emin,emax;
553 G4BoundingEnvelope benv(bmin,bmax,polygons 587 G4BoundingEnvelope benv(bmin,bmax,polygons);
554 if (!benv.CalculateExtent(pAxis,pVoxelLimi 588 if (!benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,emin,emax)) continue;
555 if (emin < pMin) pMin = emin; 589 if (emin < pMin) pMin = emin;
556 if (emax > pMax) pMax = emax; 590 if (emax > pMax) pMax = emax;
557 if (eminlim > pMin && emaxlim < pMax) brea 591 if (eminlim > pMin && emaxlim < pMax) break; // max possible extent
558 } 592 }
559 return (pMin < pMax); 593 return (pMin < pMax);
560 } 594 }
561 595
562 ////////////////////////////////////////////// 596 //////////////////////////////////////////////////////////////////////////////
563 // 597 //
564 // Return whether point inside/outside/on surf 598 // Return whether point inside/outside/on surface
565 599
566 EInside G4Torus::Inside( const G4ThreeVector& 600 EInside G4Torus::Inside( const G4ThreeVector& p ) const
567 { 601 {
568 G4double r, pt2, pPhi, tolRMin, tolRMax ; 602 G4double r, pt2, pPhi, tolRMin, tolRMax ;
569 603
570 EInside in = kOutside ; 604 EInside in = kOutside ;
571 605
572 // General precals 606 // General precals
573 // 607 //
574 r = std::hypot(p.x(),p.y()); 608 r = std::hypot(p.x(),p.y());
575 pt2 = p.z()*p.z() + (r-fRtor)*(r-fRtor); 609 pt2 = p.z()*p.z() + (r-fRtor)*(r-fRtor);
576 610
577 if (fRmin != 0.0) tolRMin = fRmin + fRminTol << 611 if (fRmin) tolRMin = fRmin + fRminTolerance ;
578 else tolRMin = 0 ; 612 else tolRMin = 0 ;
579 613
580 tolRMax = fRmax - fRmaxTolerance; 614 tolRMax = fRmax - fRmaxTolerance;
581 615
582 if (pt2 >= tolRMin*tolRMin && pt2 <= tolRMax 616 if (pt2 >= tolRMin*tolRMin && pt2 <= tolRMax*tolRMax )
583 { 617 {
584 if ( fDPhi == twopi || pt2 == 0 ) // on t 618 if ( fDPhi == twopi || pt2 == 0 ) // on torus swept axis
585 { 619 {
586 in = kInside ; 620 in = kInside ;
587 } 621 }
588 else 622 else
589 { 623 {
590 // Try inner tolerant phi boundaries (=> 624 // Try inner tolerant phi boundaries (=>inside)
591 // if not inside, try outer tolerant phi 625 // if not inside, try outer tolerant phi boundaries
592 626
593 pPhi = std::atan2(p.y(),p.x()) ; 627 pPhi = std::atan2(p.y(),p.x()) ;
594 628
595 if ( pPhi < -halfAngTolerance ) { pPhi 629 if ( pPhi < -halfAngTolerance ) { pPhi += twopi ; } // 0<=pPhi<2pi
596 if ( fSPhi >= 0 ) 630 if ( fSPhi >= 0 )
597 { 631 {
598 if ( (std::fabs(pPhi) < halfAngToleran 632 if ( (std::fabs(pPhi) < halfAngTolerance)
599 && (std::fabs(fSPhi + fDPhi - twop 633 && (std::fabs(fSPhi + fDPhi - twopi) < halfAngTolerance) )
600 { 634 {
601 pPhi += twopi ; // 0 <= pPhi < 2pi 635 pPhi += twopi ; // 0 <= pPhi < 2pi
602 } 636 }
603 if ( (pPhi >= fSPhi + halfAngTolerance 637 if ( (pPhi >= fSPhi + halfAngTolerance)
604 && (pPhi <= fSPhi + fDPhi - halfAn 638 && (pPhi <= fSPhi + fDPhi - halfAngTolerance) )
605 { 639 {
606 in = kInside ; 640 in = kInside ;
607 } 641 }
608 else if ( (pPhi >= fSPhi - halfAngTo 642 else if ( (pPhi >= fSPhi - halfAngTolerance)
609 && (pPhi <= fSPhi + fDPhi + h 643 && (pPhi <= fSPhi + fDPhi + halfAngTolerance) )
610 { 644 {
611 in = kSurface ; 645 in = kSurface ;
612 } 646 }
613 } 647 }
614 else // fSPhi < 0 648 else // fSPhi < 0
615 { 649 {
616 if ( (pPhi <= fSPhi + twopi - halfAn 650 if ( (pPhi <= fSPhi + twopi - halfAngTolerance)
617 && (pPhi >= fSPhi + fDPhi + halfA 651 && (pPhi >= fSPhi + fDPhi + halfAngTolerance) ) {;}
618 else 652 else
619 { 653 {
620 in = kSurface ; 654 in = kSurface ;
621 } 655 }
622 } 656 }
623 } 657 }
624 } 658 }
625 else // Try generous boundaries 659 else // Try generous boundaries
626 { 660 {
627 tolRMin = fRmin - fRminTolerance ; 661 tolRMin = fRmin - fRminTolerance ;
628 tolRMax = fRmax + fRmaxTolerance ; 662 tolRMax = fRmax + fRmaxTolerance ;
629 663
630 if (tolRMin < 0 ) { tolRMin = 0 ; } 664 if (tolRMin < 0 ) { tolRMin = 0 ; }
631 665
632 if ( (pt2 >= tolRMin*tolRMin) && (pt2 <= t 666 if ( (pt2 >= tolRMin*tolRMin) && (pt2 <= tolRMax*tolRMax) )
633 { 667 {
634 if ( (fDPhi == twopi) || (pt2 == 0) ) // 668 if ( (fDPhi == twopi) || (pt2 == 0) ) // Continuous in phi or on z-axis
635 { 669 {
636 in = kSurface ; 670 in = kSurface ;
637 } 671 }
638 else // Try outer tolerant phi boundarie 672 else // Try outer tolerant phi boundaries only
639 { 673 {
640 pPhi = std::atan2(p.y(),p.x()) ; 674 pPhi = std::atan2(p.y(),p.x()) ;
641 675
642 if ( pPhi < -halfAngTolerance ) { pPh 676 if ( pPhi < -halfAngTolerance ) { pPhi += twopi ; } // 0<=pPhi<2pi
643 if ( fSPhi >= 0 ) 677 if ( fSPhi >= 0 )
644 { 678 {
645 if ( (std::fabs(pPhi) < halfAngToler 679 if ( (std::fabs(pPhi) < halfAngTolerance)
646 && (std::fabs(fSPhi + fDPhi - twop 680 && (std::fabs(fSPhi + fDPhi - twopi) < halfAngTolerance) )
647 { 681 {
648 pPhi += twopi ; // 0 <= pPhi < 2pi 682 pPhi += twopi ; // 0 <= pPhi < 2pi
649 } 683 }
650 if ( (pPhi >= fSPhi - halfAngToleran 684 if ( (pPhi >= fSPhi - halfAngTolerance)
651 && (pPhi <= fSPhi + fDPhi + halfAn 685 && (pPhi <= fSPhi + fDPhi + halfAngTolerance) )
652 { 686 {
653 in = kSurface; 687 in = kSurface;
654 } 688 }
655 } 689 }
656 else // fSPhi < 0 690 else // fSPhi < 0
657 { 691 {
658 if ( (pPhi <= fSPhi + twopi - halfAn 692 if ( (pPhi <= fSPhi + twopi - halfAngTolerance)
659 && (pPhi >= fSPhi + fDPhi + halfA 693 && (pPhi >= fSPhi + fDPhi + halfAngTolerance) ) {;}
660 else 694 else
661 { 695 {
662 in = kSurface ; 696 in = kSurface ;
663 } 697 }
664 } 698 }
665 } 699 }
666 } 700 }
667 } 701 }
668 return in ; 702 return in ;
669 } 703 }
670 704
671 ////////////////////////////////////////////// 705 /////////////////////////////////////////////////////////////////////////////
672 // 706 //
673 // Return unit normal of surface closest to p 707 // Return unit normal of surface closest to p
674 // - note if point on z axis, ignore phi divid 708 // - note if point on z axis, ignore phi divided sides
675 // - unsafe if point close to z axis a rmin=0 709 // - unsafe if point close to z axis a rmin=0 - no explicit checks
676 710
677 G4ThreeVector G4Torus::SurfaceNormal( const G4 711 G4ThreeVector G4Torus::SurfaceNormal( const G4ThreeVector& p ) const
678 { 712 {
679 G4int noSurfaces = 0; 713 G4int noSurfaces = 0;
680 G4double rho, pt, pPhi; 714 G4double rho, pt, pPhi;
681 G4double distRMin = kInfinity; 715 G4double distRMin = kInfinity;
682 G4double distSPhi = kInfinity, distEPhi = kI 716 G4double distSPhi = kInfinity, distEPhi = kInfinity;
683 717
684 // To cope with precision loss 718 // To cope with precision loss
685 // 719 //
686 const G4double delta = std::max(10.0*kCarTol 720 const G4double delta = std::max(10.0*kCarTolerance,
687 1.0e-8*(fRto 721 1.0e-8*(fRtor+fRmax));
688 const G4double dAngle = 10.0*kAngTolerance; 722 const G4double dAngle = 10.0*kAngTolerance;
689 723
690 G4ThreeVector nR, nPs, nPe; 724 G4ThreeVector nR, nPs, nPe;
691 G4ThreeVector norm, sumnorm(0.,0.,0.); 725 G4ThreeVector norm, sumnorm(0.,0.,0.);
692 726
693 rho = std::hypot(p.x(),p.y()); 727 rho = std::hypot(p.x(),p.y());
694 pt = std::hypot(p.z(),rho-fRtor); 728 pt = std::hypot(p.z(),rho-fRtor);
695 729
696 G4double distRMax = std::fabs(pt - fRmax); 730 G4double distRMax = std::fabs(pt - fRmax);
697 if(fRmin != 0.0) distRMin = std::fabs(pt - f << 731 if(fRmin) distRMin = std::fabs(pt - fRmin);
698 732
699 if( rho > delta && pt != 0.0 ) 733 if( rho > delta && pt != 0.0 )
700 { 734 {
701 G4double redFactor= (rho-fRtor)/rho; 735 G4double redFactor= (rho-fRtor)/rho;
702 nR = G4ThreeVector( p.x()*redFactor, // p 736 nR = G4ThreeVector( p.x()*redFactor, // p.x()*(1.-fRtor/rho),
703 p.y()*redFactor, // p 737 p.y()*redFactor, // p.y()*(1.-fRtor/rho),
704 p.z() ); 738 p.z() );
705 nR *= 1.0/pt; 739 nR *= 1.0/pt;
706 } 740 }
707 741
708 if ( fDPhi < twopi ) // && rho ) // old limi 742 if ( fDPhi < twopi ) // && rho ) // old limitation against (0,0,z)
709 { 743 {
710 if ( rho != 0.0 ) << 744 if ( rho )
711 { 745 {
712 pPhi = std::atan2(p.y(),p.x()); 746 pPhi = std::atan2(p.y(),p.x());
713 747
714 if(pPhi < fSPhi-delta) { pPhi 748 if(pPhi < fSPhi-delta) { pPhi += twopi; }
715 else if(pPhi > fSPhi+fDPhi+delta) { pPhi 749 else if(pPhi > fSPhi+fDPhi+delta) { pPhi -= twopi; }
716 750
717 distSPhi = std::fabs( pPhi - fSPhi ); 751 distSPhi = std::fabs( pPhi - fSPhi );
718 distEPhi = std::fabs(pPhi-fSPhi-fDPhi); 752 distEPhi = std::fabs(pPhi-fSPhi-fDPhi);
719 } 753 }
720 nPs = G4ThreeVector(std::sin(fSPhi),-std:: 754 nPs = G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0);
721 nPe = G4ThreeVector(-std::sin(fSPhi+fDPhi) 755 nPe = G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0);
722 } 756 }
723 if( distRMax <= delta ) 757 if( distRMax <= delta )
724 { 758 {
725 ++noSurfaces; << 759 noSurfaces ++;
726 sumnorm += nR; 760 sumnorm += nR;
727 } 761 }
728 else if( (fRmin != 0.0) && (distRMin <= delt << 762 else if( fRmin && (distRMin <= delta) ) // Must not be on both Outer and Inner
729 { 763 {
730 ++noSurfaces; << 764 noSurfaces ++;
731 sumnorm -= nR; 765 sumnorm -= nR;
732 } 766 }
733 767
734 // To be on one of the 'phi' surfaces, 768 // To be on one of the 'phi' surfaces,
735 // it must be within the 'tube' - with tole 769 // it must be within the 'tube' - with tolerance
736 770
737 if( (fDPhi < twopi) && (fRmin-delta <= pt) & 771 if( (fDPhi < twopi) && (fRmin-delta <= pt) && (pt <= (fRmax+delta)) )
738 { 772 {
739 if (distSPhi <= dAngle) 773 if (distSPhi <= dAngle)
740 { 774 {
741 ++noSurfaces; << 775 noSurfaces ++;
742 sumnorm += nPs; 776 sumnorm += nPs;
743 } 777 }
744 if (distEPhi <= dAngle) 778 if (distEPhi <= dAngle)
745 { 779 {
746 ++noSurfaces; << 780 noSurfaces ++;
747 sumnorm += nPe; 781 sumnorm += nPe;
748 } 782 }
749 } 783 }
750 if ( noSurfaces == 0 ) 784 if ( noSurfaces == 0 )
751 { 785 {
752 #ifdef G4CSGDEBUG 786 #ifdef G4CSGDEBUG
753 G4ExceptionDescription ed; 787 G4ExceptionDescription ed;
754 ed.precision(16); 788 ed.precision(16);
755 789
756 EInside inIt= Inside( p ); 790 EInside inIt= Inside( p );
757 791
758 if( inIt != kSurface ) 792 if( inIt != kSurface )
759 { 793 {
760 ed << " ERROR> Surface Normal was cal 794 ed << " ERROR> Surface Normal was called for Torus,"
761 << " with point not on surface." << 795 << " with point not on surface." << G4endl;
762 } 796 }
763 else 797 else
764 { 798 {
765 ed << " ERROR> Surface Normal has not 799 ed << " ERROR> Surface Normal has not found a surface, "
766 << " despite the point being on the 800 << " despite the point being on the surface. " <<G4endl;
767 } 801 }
768 802
769 if( inIt != kInside) 803 if( inIt != kInside)
770 { 804 {
771 ed << " Safety (Dist To In) = " << D 805 ed << " Safety (Dist To In) = " << DistanceToIn(p) << G4endl;
772 } 806 }
773 if( inIt != kOutside) 807 if( inIt != kOutside)
774 { 808 {
775 ed << " Safety (Dist to Out) = " << D 809 ed << " Safety (Dist to Out) = " << DistanceToOut(p) << G4endl;
776 } 810 }
777 ed << " Coordinates of point : " << p << 811 ed << " Coordinates of point : " << p << G4endl;
778 ed << " Parameters of solid : " << G4end 812 ed << " Parameters of solid : " << G4endl << *this << G4endl;
779 813
780 if( inIt == kSurface ) 814 if( inIt == kSurface )
781 { 815 {
782 G4Exception("G4Torus::SurfaceNormal(p) 816 G4Exception("G4Torus::SurfaceNormal(p)", "GeomSolids1002",
783 JustWarning, ed, 817 JustWarning, ed,
784 "Failing to find normal, e 818 "Failing to find normal, even though point is on surface!");
785 } 819 }
786 else 820 else
787 { 821 {
788 static const char* NameInside[3]= { "I 822 static const char* NameInside[3]= { "Inside", "Surface", "Outside" };
789 ed << " The point is " << NameInside[ 823 ed << " The point is " << NameInside[inIt] << " the solid. "<< G4endl;
790 G4Exception("G4Torus::SurfaceNormal(p) 824 G4Exception("G4Torus::SurfaceNormal(p)", "GeomSolids1002",
791 JustWarning, ed, "Point p 825 JustWarning, ed, "Point p is not on surface !?" );
792 } 826 }
793 #endif 827 #endif
794 norm = ApproxSurfaceNormal(p); 828 norm = ApproxSurfaceNormal(p);
795 } 829 }
796 else if ( noSurfaces == 1 ) { norm = sumnor 830 else if ( noSurfaces == 1 ) { norm = sumnorm; }
797 else { norm = sumnor 831 else { norm = sumnorm.unit(); }
798 832
799 return norm ; 833 return norm ;
800 } 834 }
801 835
802 ////////////////////////////////////////////// 836 //////////////////////////////////////////////////////////////////////////////
803 // 837 //
804 // Algorithm for SurfaceNormal() following the 838 // Algorithm for SurfaceNormal() following the original specification
805 // for points not on the surface 839 // for points not on the surface
806 840
807 G4ThreeVector G4Torus::ApproxSurfaceNormal( co 841 G4ThreeVector G4Torus::ApproxSurfaceNormal( const G4ThreeVector& p ) const
808 { 842 {
809 ENorm side ; 843 ENorm side ;
810 G4ThreeVector norm; 844 G4ThreeVector norm;
811 G4double rho,pt,phi; 845 G4double rho,pt,phi;
812 G4double distRMin,distRMax,distSPhi,distEPhi 846 G4double distRMin,distRMax,distSPhi,distEPhi,distMin;
813 847
814 rho = std::hypot(p.x(),p.y()); 848 rho = std::hypot(p.x(),p.y());
815 pt = std::hypot(p.z(),rho-fRtor); 849 pt = std::hypot(p.z(),rho-fRtor);
816 850
817 #ifdef G4CSGDEBUG 851 #ifdef G4CSGDEBUG
818 G4cout << " G4Torus::ApproximateSurfaceNorma 852 G4cout << " G4Torus::ApproximateSurfaceNormal called for point " << p
819 << G4endl; 853 << G4endl;
820 #endif 854 #endif
821 855
822 distRMax = std::fabs(pt - fRmax) ; 856 distRMax = std::fabs(pt - fRmax) ;
823 857
824 if(fRmin != 0.0) // First minimum radius << 858 if(fRmin) // First minimum radius
825 { 859 {
826 distRMin = std::fabs(pt - fRmin) ; 860 distRMin = std::fabs(pt - fRmin) ;
827 861
828 if (distRMin < distRMax) 862 if (distRMin < distRMax)
829 { 863 {
830 distMin = distRMin ; 864 distMin = distRMin ;
831 side = kNRMin ; 865 side = kNRMin ;
832 } 866 }
833 else 867 else
834 { 868 {
835 distMin = distRMax ; 869 distMin = distRMax ;
836 side = kNRMax ; 870 side = kNRMax ;
837 } 871 }
838 } 872 }
839 else 873 else
840 { 874 {
841 distMin = distRMax ; 875 distMin = distRMax ;
842 side = kNRMax ; 876 side = kNRMax ;
843 } 877 }
844 if ( (fDPhi < twopi) && (rho != 0.0) ) << 878 if ( (fDPhi < twopi) && rho )
845 { 879 {
846 phi = std::atan2(p.y(),p.x()) ; // Protect 880 phi = std::atan2(p.y(),p.x()) ; // Protected against (0,0,z) (above rho!=0)
847 881
848 if (phi < 0) { phi += twopi ; } 882 if (phi < 0) { phi += twopi ; }
849 883
850 if (fSPhi < 0 ) { distSPhi = std::fabs(ph 884 if (fSPhi < 0 ) { distSPhi = std::fabs(phi-(fSPhi+twopi))*rho ; }
851 else { distSPhi = std::fabs(ph 885 else { distSPhi = std::fabs(phi-fSPhi)*rho ; }
852 886
853 distEPhi = std::fabs(phi - fSPhi - fDPhi)* 887 distEPhi = std::fabs(phi - fSPhi - fDPhi)*rho ;
854 888
855 if (distSPhi < distEPhi) // Find new minim 889 if (distSPhi < distEPhi) // Find new minimum
856 { 890 {
857 if (distSPhi<distMin) side = kNSPhi ; 891 if (distSPhi<distMin) side = kNSPhi ;
858 } 892 }
859 else 893 else
860 { 894 {
861 if (distEPhi < distMin) { side = kNEPhi 895 if (distEPhi < distMin) { side = kNEPhi ; }
862 } 896 }
863 } 897 }
864 switch (side) 898 switch (side)
865 { 899 {
866 case kNRMin: // Inner radius 900 case kNRMin: // Inner radius
867 norm = G4ThreeVector( -p.x()*(1-fRtor/rh 901 norm = G4ThreeVector( -p.x()*(1-fRtor/rho)/pt,
868 -p.y()*(1-fRtor/rh 902 -p.y()*(1-fRtor/rho)/pt,
869 -p.z()/pt 903 -p.z()/pt ) ;
870 break ; 904 break ;
871 case kNRMax: // Outer radius 905 case kNRMax: // Outer radius
872 norm = G4ThreeVector( p.x()*(1-fRtor/rho 906 norm = G4ThreeVector( p.x()*(1-fRtor/rho)/pt,
873 p.y()*(1-fRtor/rho 907 p.y()*(1-fRtor/rho)/pt,
874 p.z()/pt 908 p.z()/pt ) ;
875 break; 909 break;
876 case kNSPhi: 910 case kNSPhi:
877 norm = G4ThreeVector(std::sin(fSPhi),-st 911 norm = G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0) ;
878 break; 912 break;
879 case kNEPhi: 913 case kNEPhi:
880 norm = G4ThreeVector(-std::sin(fSPhi+fDP 914 norm = G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0) ;
881 break; 915 break;
882 default: // Should never reach th 916 default: // Should never reach this case ...
883 DumpInfo(); 917 DumpInfo();
884 G4Exception("G4Torus::ApproxSurfaceNorma 918 G4Exception("G4Torus::ApproxSurfaceNormal()",
885 "GeomSolids1002", JustWarnin 919 "GeomSolids1002", JustWarning,
886 "Undefined side for valid su 920 "Undefined side for valid surface normal to solid.");
887 break ; 921 break ;
888 } 922 }
889 return norm ; 923 return norm ;
890 } 924 }
891 925
892 ////////////////////////////////////////////// 926 ///////////////////////////////////////////////////////////////////////
893 // 927 //
894 // Calculate distance to shape from outside, a 928 // Calculate distance to shape from outside, along normalised vector
895 // - return kInfinity if no intersection, or i 929 // - return kInfinity if no intersection, or intersection distance <= tolerance
896 // 930 //
897 // - Compute the intersection with the z plane 931 // - Compute the intersection with the z planes
898 // - if at valid r, phi, return 932 // - if at valid r, phi, return
899 // 933 //
900 // -> If point is outer outer radius, compute 934 // -> If point is outer outer radius, compute intersection with rmax
901 // - if at valid phi,z return 935 // - if at valid phi,z return
902 // 936 //
903 // -> Compute intersection with inner radius, 937 // -> Compute intersection with inner radius, taking largest +ve root
904 // - if valid (phi), save intersction 938 // - if valid (phi), save intersction
905 // 939 //
906 // -> If phi segmented, compute intersectio 940 // -> If phi segmented, compute intersections with phi half planes
907 // - return smallest of valid phi inter 941 // - return smallest of valid phi intersections and
908 // inner radius intersection 942 // inner radius intersection
909 // 943 //
910 // NOTE: 944 // NOTE:
911 // - Precalculations for phi trigonometry are 945 // - Precalculations for phi trigonometry are Done `just in time'
912 // - `if valid' implies tolerant checking of i 946 // - `if valid' implies tolerant checking of intersection points
913 947
914 G4double G4Torus::DistanceToIn( const G4ThreeV 948 G4double G4Torus::DistanceToIn( const G4ThreeVector& p,
915 const G4ThreeV 949 const G4ThreeVector& v ) const
916 { 950 {
917 // Get bounding box of full torus <<
918 // <<
919 G4double boxDx = fRtor + fRmax; <<
920 G4double boxDy = boxDx; <<
921 G4double boxDz = fRmax; <<
922 G4double boxMax = boxDx; <<
923 G4double boxMin = boxDz; <<
924 951
925 // Check if point is traveling away <<
926 // <<
927 G4double distX = std::abs(p.x()) - boxDx; <<
928 G4double distY = std::abs(p.y()) - boxDy; <<
929 G4double distZ = std::abs(p.z()) - boxDz; <<
930 if (distX >= -halfCarTolerance && p.x()*v.x( <<
931 if (distY >= -halfCarTolerance && p.y()*v.y( <<
932 if (distZ >= -halfCarTolerance && p.z()*v.z( <<
933 <<
934 // Calculate safety distance to bounding box <<
935 // If point is too far, move it closer and c <<
936 // <<
937 G4double Dmax = 32*boxMax; <<
938 G4double safe = std::max(std::max(distX,dist <<
939 if (safe > Dmax) <<
940 { <<
941 G4double dist = safe - 1.e-8*safe - boxMin <<
942 dist += DistanceToIn(p + dist*v, v); <<
943 return (dist >= kInfinity) ? kInfinity : d <<
944 } <<
945 <<
946 // Find intersection with torus <<
947 // <<
948 G4double snxt=kInfinity, sphi=kInfinity; // 952 G4double snxt=kInfinity, sphi=kInfinity; // snxt = default return value
949 953
950 G4double sd[4] ; 954 G4double sd[4] ;
951 955
952 // Precalculated trig for phi intersections 956 // Precalculated trig for phi intersections - used by r,z intersections to
953 // 957 // check validity
954 958
955 G4bool seg; // true if segmented 959 G4bool seg; // true if segmented
956 G4double hDPhi; // half dphi 960 G4double hDPhi; // half dphi
957 G4double cPhi,sinCPhi=0.,cosCPhi=0.; // cen 961 G4double cPhi,sinCPhi=0.,cosCPhi=0.; // central phi
958 962
959 G4double tolORMin2; // `generous' radii squ 963 G4double tolORMin2; // `generous' radii squared
960 G4double tolORMax2; 964 G4double tolORMax2;
961 965
962 G4double Dist,xi,yi,zi,rhoi,it2; // Intersec 966 G4double Dist,xi,yi,zi,rhoi,it2; // Intersection point variables
963 967
964 G4double Comp; 968 G4double Comp;
965 G4double cosSPhi,sinSPhi; // Trig for 969 G4double cosSPhi,sinSPhi; // Trig for phi start intersect
966 G4double ePhi,cosEPhi,sinEPhi; // for phi e 970 G4double ePhi,cosEPhi,sinEPhi; // for phi end intersect
967 971
968 // Set phi divided flag and precalcs 972 // Set phi divided flag and precalcs
969 // 973 //
970 if ( fDPhi < twopi ) 974 if ( fDPhi < twopi )
971 { 975 {
972 seg = true ; 976 seg = true ;
973 hDPhi = 0.5*fDPhi ; // half delta 977 hDPhi = 0.5*fDPhi ; // half delta phi
974 cPhi = fSPhi + hDPhi ; 978 cPhi = fSPhi + hDPhi ;
975 sinCPhi = std::sin(cPhi) ; 979 sinCPhi = std::sin(cPhi) ;
976 cosCPhi = std::cos(cPhi) ; 980 cosCPhi = std::cos(cPhi) ;
977 } 981 }
978 else 982 else
979 { 983 {
980 seg = false ; 984 seg = false ;
981 } 985 }
982 986
983 if (fRmin > fRminTolerance) // Calculate tol 987 if (fRmin > fRminTolerance) // Calculate tolerant rmin and rmax
984 { 988 {
985 tolORMin2 = (fRmin - fRminTolerance)*(fRmi 989 tolORMin2 = (fRmin - fRminTolerance)*(fRmin - fRminTolerance) ;
986 } 990 }
987 else 991 else
988 { 992 {
989 tolORMin2 = 0 ; 993 tolORMin2 = 0 ;
990 } 994 }
991 tolORMax2 = (fRmax + fRmaxTolerance)*(fRmax 995 tolORMax2 = (fRmax + fRmaxTolerance)*(fRmax + fRmaxTolerance) ;
992 996
993 // Intersection with Rmax (possible return) 997 // Intersection with Rmax (possible return) and Rmin (must also check phi)
994 998
995 snxt = SolveNumericJT(p,v,fRmax,true); 999 snxt = SolveNumericJT(p,v,fRmax,true);
996 1000
997 if (fRmin != 0.0) // Possible Rmin intersec << 1001 if (fRmin) // Possible Rmin intersection
998 { 1002 {
999 sd[0] = SolveNumericJT(p,v,fRmin,true); 1003 sd[0] = SolveNumericJT(p,v,fRmin,true);
1000 if ( sd[0] < snxt ) { snxt = sd[0] ; } 1004 if ( sd[0] < snxt ) { snxt = sd[0] ; }
1001 } 1005 }
1002 1006
1003 // 1007 //
1004 // Phi segment intersection 1008 // Phi segment intersection
1005 // 1009 //
1006 // o Tolerant of points inside phi planes b 1010 // o Tolerant of points inside phi planes by up to kCarTolerance*0.5
1007 // 1011 //
1008 // o NOTE: Large duplication of code betwee 1012 // o NOTE: Large duplication of code between sphi & ephi checks
1009 // -> only diffs: sphi -> ephi, Com 1013 // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane
1010 // intersection check <=0 -> >=0 1014 // intersection check <=0 -> >=0
1011 // -> use some form of loop Constru 1015 // -> use some form of loop Construct ?
1012 1016
1013 if (seg) 1017 if (seg)
1014 { 1018 {
1015 sinSPhi = std::sin(fSPhi) ; // First phi 1019 sinSPhi = std::sin(fSPhi) ; // First phi surface ('S'tarting phi)
1016 cosSPhi = std::cos(fSPhi) ; 1020 cosSPhi = std::cos(fSPhi) ;
1017 Comp = v.x()*sinSPhi - v.y()*cosSPhi ; 1021 Comp = v.x()*sinSPhi - v.y()*cosSPhi ; // Component in outwards
1018 1022 // normal direction
1019 if (Comp < 0 ) 1023 if (Comp < 0 )
1020 { 1024 {
1021 Dist = (p.y()*cosSPhi - p.x()*sinSPhi) 1025 Dist = (p.y()*cosSPhi - p.x()*sinSPhi) ;
1022 1026
1023 if (Dist < halfCarTolerance) 1027 if (Dist < halfCarTolerance)
1024 { 1028 {
1025 sphi = Dist/Comp ; 1029 sphi = Dist/Comp ;
1026 if (sphi < snxt) 1030 if (sphi < snxt)
1027 { 1031 {
1028 if ( sphi < 0 ) { sphi = 0 ; } 1032 if ( sphi < 0 ) { sphi = 0 ; }
1029 1033
1030 xi = p.x() + sphi*v.x() ; 1034 xi = p.x() + sphi*v.x() ;
1031 yi = p.y() + sphi*v.y() ; 1035 yi = p.y() + sphi*v.y() ;
1032 zi = p.z() + sphi*v.z() ; 1036 zi = p.z() + sphi*v.z() ;
1033 rhoi = std::hypot(xi,yi); 1037 rhoi = std::hypot(xi,yi);
1034 it2 = zi*zi + (rhoi-fRtor)*(rhoi-fR 1038 it2 = zi*zi + (rhoi-fRtor)*(rhoi-fRtor);
1035 1039
1036 if ( it2 >= tolORMin2 && it2 <= tol 1040 if ( it2 >= tolORMin2 && it2 <= tolORMax2 )
1037 { 1041 {
1038 // r intersection is good - check 1042 // r intersection is good - check intersecting
1039 // with correct half-plane 1043 // with correct half-plane
1040 // 1044 //
1041 if ((yi*cosCPhi-xi*sinCPhi)<=0) 1045 if ((yi*cosCPhi-xi*sinCPhi)<=0) { snxt=sphi; }
1042 } 1046 }
1043 } 1047 }
1044 } 1048 }
1045 } 1049 }
1046 ePhi=fSPhi+fDPhi; // Second phi surfac 1050 ePhi=fSPhi+fDPhi; // Second phi surface ('E'nding phi)
1047 sinEPhi=std::sin(ePhi); 1051 sinEPhi=std::sin(ePhi);
1048 cosEPhi=std::cos(ePhi); 1052 cosEPhi=std::cos(ePhi);
1049 Comp=-(v.x()*sinEPhi-v.y()*cosEPhi); 1053 Comp=-(v.x()*sinEPhi-v.y()*cosEPhi);
1050 1054
1051 if ( Comp < 0 ) // Component in outward 1055 if ( Comp < 0 ) // Component in outwards normal dirn
1052 { 1056 {
1053 Dist = -(p.y()*cosEPhi - p.x()*sinEPhi) 1057 Dist = -(p.y()*cosEPhi - p.x()*sinEPhi) ;
1054 1058
1055 if (Dist < halfCarTolerance ) 1059 if (Dist < halfCarTolerance )
1056 { 1060 {
1057 sphi = Dist/Comp ; 1061 sphi = Dist/Comp ;
1058 1062
1059 if (sphi < snxt ) 1063 if (sphi < snxt )
1060 { 1064 {
1061 if (sphi < 0 ) { sphi = 0 ; } 1065 if (sphi < 0 ) { sphi = 0 ; }
1062 1066
1063 xi = p.x() + sphi*v.x() ; 1067 xi = p.x() + sphi*v.x() ;
1064 yi = p.y() + sphi*v.y() ; 1068 yi = p.y() + sphi*v.y() ;
1065 zi = p.z() + sphi*v.z() ; 1069 zi = p.z() + sphi*v.z() ;
1066 rhoi = std::hypot(xi,yi); 1070 rhoi = std::hypot(xi,yi);
1067 it2 = zi*zi + (rhoi-fRtor)*(rhoi-fR 1071 it2 = zi*zi + (rhoi-fRtor)*(rhoi-fRtor);
1068 1072
1069 if (it2 >= tolORMin2 && it2 <= tolO 1073 if (it2 >= tolORMin2 && it2 <= tolORMax2)
1070 { 1074 {
1071 // z and r intersections good - c 1075 // z and r intersections good - check intersecting
1072 // with correct half-plane 1076 // with correct half-plane
1073 // 1077 //
1074 if ((yi*cosCPhi-xi*sinCPhi)>=0) 1078 if ((yi*cosCPhi-xi*sinCPhi)>=0) { snxt=sphi; }
1075 } 1079 }
1076 } 1080 }
1077 } 1081 }
1078 } 1082 }
1079 } 1083 }
1080 if(snxt < halfCarTolerance) { snxt = 0.0 ; 1084 if(snxt < halfCarTolerance) { snxt = 0.0 ; }
1081 1085
1082 return snxt ; 1086 return snxt ;
1083 } 1087 }
1084 1088
1085 ///////////////////////////////////////////// 1089 /////////////////////////////////////////////////////////////////////////////
1086 // 1090 //
1087 // Calculate distance (<= actual) to closest 1091 // Calculate distance (<= actual) to closest surface of shape from outside
1088 // - Calculate distance to z, radial planes 1092 // - Calculate distance to z, radial planes
1089 // - Only to phi planes if outside phi extent 1093 // - Only to phi planes if outside phi extent
1090 // - Return 0 if point inside 1094 // - Return 0 if point inside
1091 1095
1092 G4double G4Torus::DistanceToIn( const G4Three 1096 G4double G4Torus::DistanceToIn( const G4ThreeVector& p ) const
1093 { 1097 {
1094 G4double safe=0.0, safe1, safe2 ; 1098 G4double safe=0.0, safe1, safe2 ;
1095 G4double phiC, cosPhiC, sinPhiC, safePhi, e 1099 G4double phiC, cosPhiC, sinPhiC, safePhi, ePhi, cosPsi ;
1096 G4double rho, pt ; 1100 G4double rho, pt ;
1097 1101
1098 rho = std::hypot(p.x(),p.y()); 1102 rho = std::hypot(p.x(),p.y());
1099 pt = std::hypot(p.z(),rho-fRtor); 1103 pt = std::hypot(p.z(),rho-fRtor);
1100 safe1 = fRmin - pt ; 1104 safe1 = fRmin - pt ;
1101 safe2 = pt - fRmax ; 1105 safe2 = pt - fRmax ;
1102 1106
1103 if (safe1 > safe2) { safe = safe1; } 1107 if (safe1 > safe2) { safe = safe1; }
1104 else { safe = safe2; } 1108 else { safe = safe2; }
1105 1109
1106 if ( fDPhi < twopi && (rho != 0.0) ) << 1110 if ( fDPhi < twopi && rho )
1107 { 1111 {
1108 phiC = fSPhi + fDPhi*0.5 ; 1112 phiC = fSPhi + fDPhi*0.5 ;
1109 cosPhiC = std::cos(phiC) ; 1113 cosPhiC = std::cos(phiC) ;
1110 sinPhiC = std::sin(phiC) ; 1114 sinPhiC = std::sin(phiC) ;
1111 cosPsi = (p.x()*cosPhiC + p.y()*sinPhiC) 1115 cosPsi = (p.x()*cosPhiC + p.y()*sinPhiC)/rho ;
1112 1116
1113 if (cosPsi < std::cos(fDPhi*0.5) ) // Psi 1117 if (cosPsi < std::cos(fDPhi*0.5) ) // Psi=angle from central phi to point
1114 { // Poi 1118 { // Point lies outside phi range
1115 if ((p.y()*cosPhiC - p.x()*sinPhiC) <= 1119 if ((p.y()*cosPhiC - p.x()*sinPhiC) <= 0 )
1116 { 1120 {
1117 safePhi = std::fabs(p.x()*std::sin(fS 1121 safePhi = std::fabs(p.x()*std::sin(fSPhi) - p.y()*std::cos(fSPhi)) ;
1118 } 1122 }
1119 else 1123 else
1120 { 1124 {
1121 ePhi = fSPhi + fDPhi ; 1125 ePhi = fSPhi + fDPhi ;
1122 safePhi = std::fabs(p.x()*std::sin(eP 1126 safePhi = std::fabs(p.x()*std::sin(ePhi) - p.y()*std::cos(ePhi)) ;
1123 } 1127 }
1124 if (safePhi > safe) { safe = safePhi ; 1128 if (safePhi > safe) { safe = safePhi ; }
1125 } 1129 }
1126 } 1130 }
1127 if (safe < 0 ) { safe = 0 ; } 1131 if (safe < 0 ) { safe = 0 ; }
1128 return safe; 1132 return safe;
1129 } 1133 }
1130 1134
1131 ///////////////////////////////////////////// 1135 ///////////////////////////////////////////////////////////////////////////
1132 // 1136 //
1133 // Calculate distance to surface of shape fro 1137 // Calculate distance to surface of shape from `inside', allowing for tolerance
1134 // - Only Calc rmax intersection if no valid 1138 // - Only Calc rmax intersection if no valid rmin intersection
1135 // 1139 //
1136 1140
1137 G4double G4Torus::DistanceToOut( const G4Thre 1141 G4double G4Torus::DistanceToOut( const G4ThreeVector& p,
1138 const G4Thre 1142 const G4ThreeVector& v,
1139 const G4bool 1143 const G4bool calcNorm,
1140 G4bool << 1144 G4bool *validNorm,
1141 G4Thre << 1145 G4ThreeVector *n ) const
1142 { 1146 {
1143 ESide side = kNull, sidephi = kNull ; 1147 ESide side = kNull, sidephi = kNull ;
1144 G4double snxt = kInfinity, sphi, sd[4] ; 1148 G4double snxt = kInfinity, sphi, sd[4] ;
1145 1149
1146 // Vars for phi intersection 1150 // Vars for phi intersection
1147 // 1151 //
1148 G4double sinSPhi, cosSPhi, ePhi, sinEPhi, c 1152 G4double sinSPhi, cosSPhi, ePhi, sinEPhi, cosEPhi;
1149 G4double cPhi, sinCPhi, cosCPhi ; 1153 G4double cPhi, sinCPhi, cosCPhi ;
1150 G4double pDistS, compS, pDistE, compE, sphi 1154 G4double pDistS, compS, pDistE, compE, sphi2, xi, yi, zi, vphi ;
1151 1155
1152 // Radial Intersections Defenitions & Gener 1156 // Radial Intersections Defenitions & General Precals
1153 1157
1154 //////////////////////// new calculation // 1158 //////////////////////// new calculation //////////////////////
1155 1159
1156 #if 1 1160 #if 1
1157 1161
1158 // This is the version with the calculation 1162 // This is the version with the calculation of CalcNorm = true
1159 // To be done: Check the precision of this 1163 // To be done: Check the precision of this calculation.
1160 // If you want return always validNorm = fa 1164 // If you want return always validNorm = false, then take the version below
1161 1165
1162 1166
1163 G4double rho = std::hypot(p.x(),p.y()); 1167 G4double rho = std::hypot(p.x(),p.y());
1164 G4double pt = hypot(p.z(),rho-fRtor); 1168 G4double pt = hypot(p.z(),rho-fRtor);
1165 1169
1166 G4double pDotV = p.x()*v.x() + p.y()*v.y() 1170 G4double pDotV = p.x()*v.x() + p.y()*v.y() + p.z()*v.z() ;
1167 1171
1168 G4double tolRMax = fRmax - fRmaxTolerance ; 1172 G4double tolRMax = fRmax - fRmaxTolerance ;
1169 1173
1170 G4double vDotNmax = pDotV - fRtor*(v.x()* 1174 G4double vDotNmax = pDotV - fRtor*(v.x()*p.x() + v.y()*p.y())/rho ;
1171 G4double pDotxyNmax = (1 - fRtor/rho) ; 1175 G4double pDotxyNmax = (1 - fRtor/rho) ;
1172 1176
1173 if( (pt*pt > tolRMax*tolRMax) && (vDotNmax 1177 if( (pt*pt > tolRMax*tolRMax) && (vDotNmax >= 0) )
1174 { 1178 {
1175 // On tolerant boundary & heading outward 1179 // On tolerant boundary & heading outwards (or perpendicular to) outer
1176 // radial surface -> leaving immediately 1180 // radial surface -> leaving immediately with *n for really convex part
1177 // only 1181 // only
1178 1182
1179 if ( calcNorm && (pDotxyNmax >= -2.*fRmax 1183 if ( calcNorm && (pDotxyNmax >= -2.*fRmaxTolerance) )
1180 { 1184 {
1181 *n = G4ThreeVector( p.x()*(1 - fRtor/rh 1185 *n = G4ThreeVector( p.x()*(1 - fRtor/rho)/pt,
1182 p.y()*(1 - fRtor/rh 1186 p.y()*(1 - fRtor/rho)/pt,
1183 p.z()/pt 1187 p.z()/pt ) ;
1184 *validNorm = true ; 1188 *validNorm = true ;
1185 } 1189 }
1186 1190
1187 return snxt = 0 ; // Leaving by Rmax imme 1191 return snxt = 0 ; // Leaving by Rmax immediately
1188 } 1192 }
1189 1193
1190 snxt = SolveNumericJT(p,v,fRmax,false); 1194 snxt = SolveNumericJT(p,v,fRmax,false);
1191 side = kRMax ; 1195 side = kRMax ;
1192 1196
1193 // rmin 1197 // rmin
1194 1198
1195 if ( fRmin != 0.0 ) << 1199 if ( fRmin )
1196 { 1200 {
1197 G4double tolRMin = fRmin + fRminTolerance 1201 G4double tolRMin = fRmin + fRminTolerance ;
1198 1202
1199 if ( (pt*pt < tolRMin*tolRMin) && (vDotNm 1203 if ( (pt*pt < tolRMin*tolRMin) && (vDotNmax < 0) )
1200 { 1204 {
1201 if (calcNorm) { *validNorm = false ; } 1205 if (calcNorm) { *validNorm = false ; } // Concave surface of the torus
1202 return snxt = 0 ; 1206 return snxt = 0 ; // Leaving by Rmin immediately
1203 } 1207 }
1204 1208
1205 sd[0] = SolveNumericJT(p,v,fRmin,false); 1209 sd[0] = SolveNumericJT(p,v,fRmin,false);
1206 if ( sd[0] < snxt ) 1210 if ( sd[0] < snxt )
1207 { 1211 {
1208 snxt = sd[0] ; 1212 snxt = sd[0] ;
1209 side = kRMin ; 1213 side = kRMin ;
1210 } 1214 }
1211 } 1215 }
1212 1216
1213 #else 1217 #else
1214 1218
1215 // this is the "conservative" version which 1219 // this is the "conservative" version which return always validnorm = false
1216 // NOTE: using this version the unit test t 1220 // NOTE: using this version the unit test testG4Torus will break
1217 1221
1218 snxt = SolveNumericJT(p,v,fRmax,false); 1222 snxt = SolveNumericJT(p,v,fRmax,false);
1219 side = kRMax ; 1223 side = kRMax ;
1220 1224
1221 if ( fRmin ) 1225 if ( fRmin )
1222 { 1226 {
1223 sd[0] = SolveNumericJT(p,v,fRmin,false); 1227 sd[0] = SolveNumericJT(p,v,fRmin,false);
1224 if ( sd[0] < snxt ) 1228 if ( sd[0] < snxt )
1225 { 1229 {
1226 snxt = sd[0] ; 1230 snxt = sd[0] ;
1227 side = kRMin ; 1231 side = kRMin ;
1228 } 1232 }
1229 } 1233 }
1230 1234
1231 if ( calcNorm && (snxt == 0.0) ) 1235 if ( calcNorm && (snxt == 0.0) )
1232 { 1236 {
1233 *validNorm = false ; // Leaving solid, 1237 *validNorm = false ; // Leaving solid, but possible re-intersection
1234 return snxt ; 1238 return snxt ;
1235 } 1239 }
1236 1240
1237 #endif 1241 #endif
1238 1242
1239 if (fDPhi < twopi) // Phi Intersections 1243 if (fDPhi < twopi) // Phi Intersections
1240 { 1244 {
1241 sinSPhi = std::sin(fSPhi) ; 1245 sinSPhi = std::sin(fSPhi) ;
1242 cosSPhi = std::cos(fSPhi) ; 1246 cosSPhi = std::cos(fSPhi) ;
1243 ePhi = fSPhi + fDPhi ; 1247 ePhi = fSPhi + fDPhi ;
1244 sinEPhi = std::sin(ePhi) ; 1248 sinEPhi = std::sin(ePhi) ;
1245 cosEPhi = std::cos(ePhi) ; 1249 cosEPhi = std::cos(ePhi) ;
1246 cPhi = fSPhi + fDPhi*0.5 ; 1250 cPhi = fSPhi + fDPhi*0.5 ;
1247 sinCPhi = std::sin(cPhi) ; 1251 sinCPhi = std::sin(cPhi) ;
1248 cosCPhi = std::cos(cPhi) ; 1252 cosCPhi = std::cos(cPhi) ;
1249 1253
1250 // angle calculation with correction 1254 // angle calculation with correction
1251 // of difference in domain of atan2 and S 1255 // of difference in domain of atan2 and Sphi
1252 // 1256 //
1253 vphi = std::atan2(v.y(),v.x()) ; 1257 vphi = std::atan2(v.y(),v.x()) ;
1254 1258
1255 if ( vphi < fSPhi - halfAngTolerance ) 1259 if ( vphi < fSPhi - halfAngTolerance ) { vphi += twopi; }
1256 else if ( vphi > ePhi + halfAngTolerance 1260 else if ( vphi > ePhi + halfAngTolerance ) { vphi -= twopi; }
1257 1261
1258 if ( (p.x() != 0.0) || (p.y() != 0.0) ) / << 1262 if ( p.x() || p.y() ) // Check if on z axis (rho not needed later)
1259 { 1263 {
1260 pDistS = p.x()*sinSPhi - p.y()*cosSPhi 1264 pDistS = p.x()*sinSPhi - p.y()*cosSPhi ; // pDist -ve when inside
1261 pDistE = -p.x()*sinEPhi + p.y()*cosEPhi 1265 pDistE = -p.x()*sinEPhi + p.y()*cosEPhi ;
1262 1266
1263 // Comp -ve when in direction of outwar 1267 // Comp -ve when in direction of outwards normal
1264 // 1268 //
1265 compS = -sinSPhi*v.x() + cosSPhi*v.y( 1269 compS = -sinSPhi*v.x() + cosSPhi*v.y() ;
1266 compE = sinEPhi*v.x() - cosEPhi*v.y() 1270 compE = sinEPhi*v.x() - cosEPhi*v.y() ;
1267 sidephi = kNull ; 1271 sidephi = kNull ;
1268 1272
1269 if( ( (fDPhi <= pi) && ( (pDistS <= hal 1273 if( ( (fDPhi <= pi) && ( (pDistS <= halfCarTolerance)
1270 && (pDistE <= hal 1274 && (pDistE <= halfCarTolerance) ) )
1271 || ( (fDPhi > pi) && ((pDistS <= hal << 1275 || ( (fDPhi > pi) && !((pDistS > halfCarTolerance)
1272 || (pDistE <= ha << 1276 && (pDistE > halfCarTolerance) ) ) )
1273 { 1277 {
1274 // Inside both phi *full* planes 1278 // Inside both phi *full* planes
1275 1279
1276 if ( compS < 0 ) 1280 if ( compS < 0 )
1277 { 1281 {
1278 sphi = pDistS/compS ; 1282 sphi = pDistS/compS ;
1279 1283
1280 if (sphi >= -halfCarTolerance) 1284 if (sphi >= -halfCarTolerance)
1281 { 1285 {
1282 xi = p.x() + sphi*v.x() ; 1286 xi = p.x() + sphi*v.x() ;
1283 yi = p.y() + sphi*v.y() ; 1287 yi = p.y() + sphi*v.y() ;
1284 1288
1285 // Check intersecting with correc 1289 // Check intersecting with correct half-plane
1286 // (if not -> no intersect) 1290 // (if not -> no intersect)
1287 // 1291 //
1288 if ( (std::fabs(xi)<=kCarToleranc 1292 if ( (std::fabs(xi)<=kCarTolerance)
1289 && (std::fabs(yi)<=kCarToleranc 1293 && (std::fabs(yi)<=kCarTolerance) )
1290 { 1294 {
1291 sidephi = kSPhi; 1295 sidephi = kSPhi;
1292 if ( ((fSPhi-halfAngTolerance)< 1296 if ( ((fSPhi-halfAngTolerance)<=vphi)
1293 && ((ePhi+halfAngTolerance)>= 1297 && ((ePhi+halfAngTolerance)>=vphi) )
1294 { 1298 {
1295 sphi = kInfinity; 1299 sphi = kInfinity;
1296 } 1300 }
1297 } 1301 }
1298 else if ( yi*cosCPhi-xi*sinCPhi > 1302 else if ( yi*cosCPhi-xi*sinCPhi >=0 )
1299 { 1303 {
1300 sphi = kInfinity ; 1304 sphi = kInfinity ;
1301 } 1305 }
1302 else 1306 else
1303 { 1307 {
1304 sidephi = kSPhi ; 1308 sidephi = kSPhi ;
1305 } 1309 }
1306 } 1310 }
1307 else 1311 else
1308 { 1312 {
1309 sphi = kInfinity ; 1313 sphi = kInfinity ;
1310 } 1314 }
1311 } 1315 }
1312 else 1316 else
1313 { 1317 {
1314 sphi = kInfinity ; 1318 sphi = kInfinity ;
1315 } 1319 }
1316 1320
1317 if ( compE < 0 ) 1321 if ( compE < 0 )
1318 { 1322 {
1319 sphi2 = pDistE/compE ; 1323 sphi2 = pDistE/compE ;
1320 1324
1321 // Only check further if < starting 1325 // Only check further if < starting phi intersection
1322 // 1326 //
1323 if ( (sphi2 > -kCarTolerance) && (s 1327 if ( (sphi2 > -kCarTolerance) && (sphi2 < sphi) )
1324 { 1328 {
1325 xi = p.x() + sphi2*v.x() ; 1329 xi = p.x() + sphi2*v.x() ;
1326 yi = p.y() + sphi2*v.y() ; 1330 yi = p.y() + sphi2*v.y() ;
1327 1331
1328 if ( (std::fabs(xi)<=kCarToleranc 1332 if ( (std::fabs(xi)<=kCarTolerance)
1329 && (std::fabs(yi)<=kCarToleranc 1333 && (std::fabs(yi)<=kCarTolerance) )
1330 { 1334 {
1331 // Leaving via ending phi 1335 // Leaving via ending phi
1332 // 1336 //
1333 if( (fSPhi-halfAngTolerance > v << 1337 if( !( (fSPhi-halfAngTolerance <= vphi)
1334 || (ePhi+halfAngTolerance < << 1338 && (ePhi+halfAngTolerance >= vphi) ) )
1335 { 1339 {
1336 sidephi = kEPhi ; 1340 sidephi = kEPhi ;
1337 sphi = sphi2; 1341 sphi = sphi2;
1338 } 1342 }
1339 } 1343 }
1340 else // Check intersecting wit 1344 else // Check intersecting with correct half-plane
1341 { 1345 {
1342 if ( (yi*cosCPhi-xi*sinCPhi) >= 1346 if ( (yi*cosCPhi-xi*sinCPhi) >= 0)
1343 { 1347 {
1344 // Leaving via ending phi 1348 // Leaving via ending phi
1345 // 1349 //
1346 sidephi = kEPhi ; 1350 sidephi = kEPhi ;
1347 sphi = sphi2; 1351 sphi = sphi2;
1348 1352
1349 } 1353 }
1350 } 1354 }
1351 } 1355 }
1352 } 1356 }
1353 } 1357 }
1354 else 1358 else
1355 { 1359 {
1356 sphi = kInfinity ; 1360 sphi = kInfinity ;
1357 } 1361 }
1358 } 1362 }
1359 else 1363 else
1360 { 1364 {
1361 // On z axis + travel not || to z axis 1365 // On z axis + travel not || to z axis -> if phi of vector direction
1362 // within phi of shape, Step limited by 1366 // within phi of shape, Step limited by rmax, else Step =0
1363 1367
1364 vphi = std::atan2(v.y(),v.x()); 1368 vphi = std::atan2(v.y(),v.x());
1365 1369
1366 if ( ( fSPhi-halfAngTolerance <= vphi ) 1370 if ( ( fSPhi-halfAngTolerance <= vphi ) &&
1367 ( vphi <= ( ePhi+halfAngTolerance 1371 ( vphi <= ( ePhi+halfAngTolerance ) ) )
1368 { 1372 {
1369 sphi = kInfinity; 1373 sphi = kInfinity;
1370 } 1374 }
1371 else 1375 else
1372 { 1376 {
1373 sidephi = kSPhi ; // arbitrary 1377 sidephi = kSPhi ; // arbitrary
1374 sphi=0; 1378 sphi=0;
1375 } 1379 }
1376 } 1380 }
1377 1381
1378 // Order intersections 1382 // Order intersections
1379 1383
1380 if (sphi<snxt) 1384 if (sphi<snxt)
1381 { 1385 {
1382 snxt=sphi; 1386 snxt=sphi;
1383 side=sidephi; 1387 side=sidephi;
1384 } 1388 }
1385 } 1389 }
1386 1390
1387 G4double rhoi,it,iDotxyNmax ; 1391 G4double rhoi,it,iDotxyNmax ;
1388 // Note: by numerical computation we know w 1392 // Note: by numerical computation we know where the ray hits the torus
1389 // So I propose to return the side where th 1393 // So I propose to return the side where the ray hits
1390 1394
1391 if (calcNorm) 1395 if (calcNorm)
1392 { 1396 {
1393 switch(side) 1397 switch(side)
1394 { 1398 {
1395 case kRMax: // n is 1399 case kRMax: // n is unit vector
1396 xi = p.x() + snxt*v.x() ; 1400 xi = p.x() + snxt*v.x() ;
1397 yi = p.y() + snxt*v.y() ; 1401 yi = p.y() + snxt*v.y() ;
1398 zi = p.z() + snxt*v.z() ; 1402 zi = p.z() + snxt*v.z() ;
1399 rhoi = std::hypot(xi,yi); 1403 rhoi = std::hypot(xi,yi);
1400 it = hypot(zi,rhoi-fRtor); 1404 it = hypot(zi,rhoi-fRtor);
1401 1405
1402 iDotxyNmax = (1-fRtor/rhoi) ; 1406 iDotxyNmax = (1-fRtor/rhoi) ;
1403 if(iDotxyNmax >= -2.*fRmaxTolerance) 1407 if(iDotxyNmax >= -2.*fRmaxTolerance) // really convex part of Rmax
1404 { 1408 {
1405 *n = G4ThreeVector( xi*(1-fRtor/rho 1409 *n = G4ThreeVector( xi*(1-fRtor/rhoi)/it,
1406 yi*(1-fRtor/rho 1410 yi*(1-fRtor/rhoi)/it,
1407 zi/it 1411 zi/it ) ;
1408 *validNorm = true ; 1412 *validNorm = true ;
1409 } 1413 }
1410 else 1414 else
1411 { 1415 {
1412 *validNorm = false ; // concave-con 1416 *validNorm = false ; // concave-convex part of Rmax
1413 } 1417 }
1414 break ; 1418 break ;
1415 1419
1416 case kRMin: 1420 case kRMin:
1417 *validNorm = false ; // Rmin is conc 1421 *validNorm = false ; // Rmin is concave or concave-convex
1418 break; 1422 break;
1419 1423
1420 case kSPhi: 1424 case kSPhi:
1421 if (fDPhi <= pi ) 1425 if (fDPhi <= pi )
1422 { 1426 {
1423 *n=G4ThreeVector(std::sin(fSPhi),-s 1427 *n=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0);
1424 *validNorm=true; 1428 *validNorm=true;
1425 } 1429 }
1426 else 1430 else
1427 { 1431 {
1428 *validNorm = false ; 1432 *validNorm = false ;
1429 } 1433 }
1430 break ; 1434 break ;
1431 1435
1432 case kEPhi: 1436 case kEPhi:
1433 if (fDPhi <= pi) 1437 if (fDPhi <= pi)
1434 { 1438 {
1435 *n=G4ThreeVector(-std::sin(fSPhi+fD 1439 *n=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0);
1436 *validNorm=true; 1440 *validNorm=true;
1437 } 1441 }
1438 else 1442 else
1439 { 1443 {
1440 *validNorm = false ; 1444 *validNorm = false ;
1441 } 1445 }
1442 break; 1446 break;
1443 1447
1444 default: 1448 default:
1445 1449
1446 // It seems we go here from time to t 1450 // It seems we go here from time to time ...
1447 1451
1448 G4cout << G4endl; 1452 G4cout << G4endl;
1449 DumpInfo(); 1453 DumpInfo();
1450 std::ostringstream message; 1454 std::ostringstream message;
1451 G4long oldprc = message.precision(16) << 1455 G4int oldprc = message.precision(16);
1452 message << "Undefined side for valid 1456 message << "Undefined side for valid surface normal to solid."
1453 << G4endl 1457 << G4endl
1454 << "Position:" << G4endl << 1458 << "Position:" << G4endl << G4endl
1455 << "p.x() = " << p.x()/mm < 1459 << "p.x() = " << p.x()/mm << " mm" << G4endl
1456 << "p.y() = " << p.y()/mm < 1460 << "p.y() = " << p.y()/mm << " mm" << G4endl
1457 << "p.z() = " << p.z()/mm < 1461 << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl
1458 << "Direction:" << G4endl << 1462 << "Direction:" << G4endl << G4endl
1459 << "v.x() = " << v.x() << G 1463 << "v.x() = " << v.x() << G4endl
1460 << "v.y() = " << v.y() << G 1464 << "v.y() = " << v.y() << G4endl
1461 << "v.z() = " << v.z() << G 1465 << "v.z() = " << v.z() << G4endl << G4endl
1462 << "Proposed distance :" << G 1466 << "Proposed distance :" << G4endl << G4endl
1463 << "snxt = " << snxt/mm << " 1467 << "snxt = " << snxt/mm << " mm" << G4endl;
1464 message.precision(oldprc); 1468 message.precision(oldprc);
1465 G4Exception("G4Torus::DistanceToOut(p 1469 G4Exception("G4Torus::DistanceToOut(p,v,..)",
1466 "GeomSolids1002",JustWarn 1470 "GeomSolids1002",JustWarning, message);
1467 break; 1471 break;
1468 } 1472 }
1469 } 1473 }
1470 if ( snxt<halfCarTolerance ) { snxt=0 ; } 1474 if ( snxt<halfCarTolerance ) { snxt=0 ; }
1471 1475
1472 return snxt; 1476 return snxt;
1473 } 1477 }
1474 1478
1475 ///////////////////////////////////////////// 1479 /////////////////////////////////////////////////////////////////////////
1476 // 1480 //
1477 // Calculate distance (<=actual) to closest s 1481 // Calculate distance (<=actual) to closest surface of shape from inside
1478 1482
1479 G4double G4Torus::DistanceToOut( const G4Thre 1483 G4double G4Torus::DistanceToOut( const G4ThreeVector& p ) const
1480 { 1484 {
1481 G4double safe=0.0,safeR1,safeR2; 1485 G4double safe=0.0,safeR1,safeR2;
1482 G4double rho,pt ; 1486 G4double rho,pt ;
1483 G4double safePhi,phiC,cosPhiC,sinPhiC,ePhi; 1487 G4double safePhi,phiC,cosPhiC,sinPhiC,ePhi;
1484 1488
1485 rho = std::hypot(p.x(),p.y()); 1489 rho = std::hypot(p.x(),p.y());
1486 pt = std::hypot(p.z(),rho-fRtor); 1490 pt = std::hypot(p.z(),rho-fRtor);
1487 1491
1488 #ifdef G4CSGDEBUG 1492 #ifdef G4CSGDEBUG
1489 if( Inside(p) == kOutside ) 1493 if( Inside(p) == kOutside )
1490 { 1494 {
1491 G4long oldprc = G4cout.precision(16) ; << 1495 G4int oldprc = G4cout.precision(16) ;
1492 G4cout << G4endl ; 1496 G4cout << G4endl ;
1493 DumpInfo(); 1497 DumpInfo();
1494 G4cout << "Position:" << G4endl << G4en 1498 G4cout << "Position:" << G4endl << G4endl ;
1495 G4cout << "p.x() = " << p.x()/mm << " 1499 G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ;
1496 G4cout << "p.y() = " << p.y()/mm << " 1500 G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ;
1497 G4cout << "p.z() = " << p.z()/mm << " 1501 G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ;
1498 G4cout.precision(oldprc); 1502 G4cout.precision(oldprc);
1499 G4Exception("G4Torus::DistanceToOut(p)", 1503 G4Exception("G4Torus::DistanceToOut(p)", "GeomSolids1002",
1500 JustWarning, "Point p is out 1504 JustWarning, "Point p is outside !?" );
1501 } 1505 }
1502 #endif 1506 #endif
1503 1507
1504 if (fRmin != 0.0) << 1508 if (fRmin)
1505 { 1509 {
1506 safeR1 = pt - fRmin ; 1510 safeR1 = pt - fRmin ;
1507 safeR2 = fRmax - pt ; 1511 safeR2 = fRmax - pt ;
1508 1512
1509 if (safeR1 < safeR2) { safe = safeR1 ; } 1513 if (safeR1 < safeR2) { safe = safeR1 ; }
1510 else { safe = safeR2 ; } 1514 else { safe = safeR2 ; }
1511 } 1515 }
1512 else 1516 else
1513 { 1517 {
1514 safe = fRmax - pt ; 1518 safe = fRmax - pt ;
1515 } 1519 }
1516 1520
1517 // Check if phi divided, Calc distances clo 1521 // Check if phi divided, Calc distances closest phi plane
1518 // 1522 //
1519 if (fDPhi < twopi) // Above/below central p << 1523 if (fDPhi<twopi) // Above/below central phi of Torus?
1520 { 1524 {
1521 phiC = fSPhi + fDPhi*0.5 ; 1525 phiC = fSPhi + fDPhi*0.5 ;
1522 cosPhiC = std::cos(phiC) ; 1526 cosPhiC = std::cos(phiC) ;
1523 sinPhiC = std::sin(phiC) ; 1527 sinPhiC = std::sin(phiC) ;
1524 1528
1525 if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0) 1529 if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0)
1526 { 1530 {
1527 safePhi = -(p.x()*std::sin(fSPhi) - p.y 1531 safePhi = -(p.x()*std::sin(fSPhi) - p.y()*std::cos(fSPhi)) ;
1528 } 1532 }
1529 else 1533 else
1530 { 1534 {
1531 ePhi = fSPhi + fDPhi ; 1535 ePhi = fSPhi + fDPhi ;
1532 safePhi = (p.x()*std::sin(ePhi) - p.y() 1536 safePhi = (p.x()*std::sin(ePhi) - p.y()*std::cos(ePhi)) ;
1533 } 1537 }
1534 if (safePhi < safe) { safe = safePhi ; } 1538 if (safePhi < safe) { safe = safePhi ; }
1535 } 1539 }
1536 if (safe < 0) { safe = 0 ; } 1540 if (safe < 0) { safe = 0 ; }
1537 return safe ; 1541 return safe ;
1538 } 1542 }
1539 1543
1540 ///////////////////////////////////////////// 1544 //////////////////////////////////////////////////////////////////////////
1541 // 1545 //
1542 // Stream object contents to an output stream 1546 // Stream object contents to an output stream
1543 1547
1544 G4GeometryType G4Torus::GetEntityType() const 1548 G4GeometryType G4Torus::GetEntityType() const
1545 { 1549 {
1546 return {"G4Torus"}; << 1550 return G4String("G4Torus");
1547 } 1551 }
1548 1552
1549 ///////////////////////////////////////////// 1553 //////////////////////////////////////////////////////////////////////////
1550 // 1554 //
1551 // Make a clone of the object 1555 // Make a clone of the object
1552 // 1556 //
1553 G4VSolid* G4Torus::Clone() const 1557 G4VSolid* G4Torus::Clone() const
1554 { 1558 {
1555 return new G4Torus(*this); 1559 return new G4Torus(*this);
1556 } 1560 }
1557 1561
1558 ///////////////////////////////////////////// 1562 //////////////////////////////////////////////////////////////////////////
1559 // 1563 //
1560 // Stream object contents to an output stream 1564 // Stream object contents to an output stream
1561 1565
1562 std::ostream& G4Torus::StreamInfo( std::ostre 1566 std::ostream& G4Torus::StreamInfo( std::ostream& os ) const
1563 { 1567 {
1564 G4long oldprc = os.precision(16); << 1568 G4int oldprc = os.precision(16);
1565 os << "------------------------------------ 1569 os << "-----------------------------------------------------------\n"
1566 << " *** Dump for solid - " << GetNam 1570 << " *** Dump for solid - " << GetName() << " ***\n"
1567 << " ================================ 1571 << " ===================================================\n"
1568 << " Solid type: G4Torus\n" 1572 << " Solid type: G4Torus\n"
1569 << " Parameters: \n" 1573 << " Parameters: \n"
1570 << " inner radius: " << fRmin/mm << " 1574 << " inner radius: " << fRmin/mm << " mm \n"
1571 << " outer radius: " << fRmax/mm << " 1575 << " outer radius: " << fRmax/mm << " mm \n"
1572 << " swept radius: " << fRtor/mm << " 1576 << " swept radius: " << fRtor/mm << " mm \n"
1573 << " starting phi: " << fSPhi/degree 1577 << " starting phi: " << fSPhi/degree << " degrees \n"
1574 << " delta phi : " << fDPhi/degree 1578 << " delta phi : " << fDPhi/degree << " degrees \n"
1575 << "------------------------------------ 1579 << "-----------------------------------------------------------\n";
1576 os.precision(oldprc); 1580 os.precision(oldprc);
1577 1581
1578 return os; 1582 return os;
1579 } 1583 }
1580 1584
1581 ///////////////////////////////////////////// 1585 ////////////////////////////////////////////////////////////////////////////
1582 // 1586 //
1583 // GetPointOnSurface 1587 // GetPointOnSurface
1584 1588
1585 G4ThreeVector G4Torus::GetPointOnSurface() co 1589 G4ThreeVector G4Torus::GetPointOnSurface() const
1586 { 1590 {
1587 G4double cosu, sinu,cosv, sinv, aOut, aIn, 1591 G4double cosu, sinu,cosv, sinv, aOut, aIn, aSide, chose, phi, theta, rRand;
1588 1592
1589 phi = G4RandFlat::shoot(fSPhi,fSPhi+fDPhi 1593 phi = G4RandFlat::shoot(fSPhi,fSPhi+fDPhi);
1590 theta = G4RandFlat::shoot(0.,twopi); 1594 theta = G4RandFlat::shoot(0.,twopi);
1591 1595
1592 cosu = std::cos(phi); sinu = std::sin( 1596 cosu = std::cos(phi); sinu = std::sin(phi);
1593 cosv = std::cos(theta); sinv = std::sin( 1597 cosv = std::cos(theta); sinv = std::sin(theta);
1594 1598
1595 // compute the areas 1599 // compute the areas
1596 1600
1597 aOut = (fDPhi)*twopi*fRtor*fRmax; 1601 aOut = (fDPhi)*twopi*fRtor*fRmax;
1598 aIn = (fDPhi)*twopi*fRtor*fRmin; 1602 aIn = (fDPhi)*twopi*fRtor*fRmin;
1599 aSide = pi*(fRmax*fRmax-fRmin*fRmin); 1603 aSide = pi*(fRmax*fRmax-fRmin*fRmin);
1600 1604
1601 if ((fSPhi == 0) && (fDPhi == twopi)){ aSid 1605 if ((fSPhi == 0) && (fDPhi == twopi)){ aSide = 0; }
1602 chose = G4RandFlat::shoot(0.,aOut + aIn + 2 1606 chose = G4RandFlat::shoot(0.,aOut + aIn + 2.*aSide);
1603 1607
1604 if(chose < aOut) 1608 if(chose < aOut)
1605 { 1609 {
1606 return { (fRtor+fRmax*cosv)*cosu, (fRtor+ << 1610 return G4ThreeVector ((fRtor+fRmax*cosv)*cosu,
>> 1611 (fRtor+fRmax*cosv)*sinu, fRmax*sinv);
1607 } 1612 }
1608 else if( (chose >= aOut) && (chose < aOut + 1613 else if( (chose >= aOut) && (chose < aOut + aIn) )
1609 { 1614 {
1610 return { (fRtor+fRmin*cosv)*cosu, (fRtor+ << 1615 return G4ThreeVector ((fRtor+fRmin*cosv)*cosu,
>> 1616 (fRtor+fRmin*cosv)*sinu, fRmin*sinv);
1611 } 1617 }
1612 else if( (chose >= aOut + aIn) && (chose < 1618 else if( (chose >= aOut + aIn) && (chose < aOut + aIn + aSide) )
1613 { 1619 {
1614 rRand = GetRadiusInRing(fRmin,fRmax); 1620 rRand = GetRadiusInRing(fRmin,fRmax);
1615 return { (fRtor+rRand*cosv)*std::cos(fSPh << 1621 return G4ThreeVector ((fRtor+rRand*cosv)*std::cos(fSPhi),
1616 (fRtor+rRand*cosv)*std::sin(fSPh << 1622 (fRtor+rRand*cosv)*std::sin(fSPhi), rRand*sinv);
1617 } 1623 }
1618 else 1624 else
1619 { 1625 {
1620 rRand = GetRadiusInRing(fRmin,fRmax); 1626 rRand = GetRadiusInRing(fRmin,fRmax);
1621 return { (fRtor+rRand*cosv)*std::cos(fSPh << 1627 return G4ThreeVector ((fRtor+rRand*cosv)*std::cos(fSPhi+fDPhi),
1622 (fRtor+rRand*cosv)*std::sin(fSPh << 1628 (fRtor+rRand*cosv)*std::sin(fSPhi+fDPhi),
>> 1629 rRand*sinv);
1623 } 1630 }
1624 } 1631 }
1625 1632
1626 ///////////////////////////////////////////// 1633 ///////////////////////////////////////////////////////////////////////
1627 // 1634 //
1628 // Visualisation Functions 1635 // Visualisation Functions
1629 1636
1630 void G4Torus::DescribeYourselfTo ( G4VGraphic 1637 void G4Torus::DescribeYourselfTo ( G4VGraphicsScene& scene ) const
1631 { 1638 {
1632 scene.AddSolid (*this); 1639 scene.AddSolid (*this);
1633 } 1640 }
1634 1641
1635 G4Polyhedron* G4Torus::CreatePolyhedron () co 1642 G4Polyhedron* G4Torus::CreatePolyhedron () const
1636 { 1643 {
1637 return new G4PolyhedronTorus (fRmin, fRmax, 1644 return new G4PolyhedronTorus (fRmin, fRmax, fRtor, fSPhi, fDPhi);
1638 } 1645 }
1639 1646
1640 #endif // !defined(G4GEOM_USE_TORUS) || !defi 1647 #endif // !defined(G4GEOM_USE_TORUS) || !defined(G4GEOM_USE_SYS_USOLIDS)
1641 1648