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Geant4/geometry/solids/CSG/src/G4Cons.cc

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Differences between /geometry/solids/CSG/src/G4Cons.cc (Version 11.3.0) and /geometry/solids/CSG/src/G4Cons.cc (Version 10.6.p2)


  1 //                                                  1 //
  2 // *******************************************      2 // ********************************************************************
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 15 // * use.  Please see the license in the file      15 // * use.  Please see the license in the file  LICENSE  and URL above *
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 19 // * technical work of the GEANT4 collaboratio     19 // * technical work of the GEANT4 collaboration.                      *
 20 // * By using,  copying,  modifying or  distri     20 // * By using,  copying,  modifying or  distributing the software (or *
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 24 // *******************************************     24 // ********************************************************************
 25 //                                                 25 //
 26 // Implementation for G4Cons class                 26 // Implementation for G4Cons class
 27 //                                                 27 //
 28 // ~1994    P.Kent: Created, as main part of t     28 // ~1994    P.Kent: Created, as main part of the geometry prototype
 29 // 13.09.96 V.Grichine: Review and final modif     29 // 13.09.96 V.Grichine: Review and final modifications
 30 // 03.05.05 V.Grichine: SurfaceNormal(p) accor     30 // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal
 31 // 12.10.09 T.Nikitina: Added to DistanceToIn(     31 // 12.10.09 T.Nikitina: Added to DistanceToIn(p,v) check on the direction in
 32 //                      case of point on surfa     32 //                      case of point on surface
 33 // 03.10.16 E.Tcherniaev: use G4BoundingEnvelo     33 // 03.10.16 E.Tcherniaev: use G4BoundingEnvelope for CalculateExtent(),
 34 //                      removed CreateRotatedV     34 //                      removed CreateRotatedVertices()
 35 // -------------------------------------------     35 // --------------------------------------------------------------------
 36                                                    36 
 37 #include "G4Cons.hh"                               37 #include "G4Cons.hh"
 38                                                    38 
 39 #if !defined(G4GEOM_USE_UCONS)                     39 #if !defined(G4GEOM_USE_UCONS)
 40                                                    40 
 41 #include "G4GeomTools.hh"                          41 #include "G4GeomTools.hh"
 42 #include "G4VoxelLimits.hh"                        42 #include "G4VoxelLimits.hh"
 43 #include "G4AffineTransform.hh"                    43 #include "G4AffineTransform.hh"
 44 #include "G4BoundingEnvelope.hh"                   44 #include "G4BoundingEnvelope.hh"
 45 #include "G4GeometryTolerance.hh"                  45 #include "G4GeometryTolerance.hh"
 46                                                    46 
 47 #include "G4VPVParameterisation.hh"                47 #include "G4VPVParameterisation.hh"
 48                                                    48 
 49 #include "meshdefs.hh"                             49 #include "meshdefs.hh"
 50                                                    50 
 51 #include "Randomize.hh"                            51 #include "Randomize.hh"
 52                                                    52 
 53 #include "G4VGraphicsScene.hh"                     53 #include "G4VGraphicsScene.hh"
 54                                                    54 
 55 using namespace CLHEP;                             55 using namespace CLHEP;
 56                                                    56  
 57 //////////////////////////////////////////////     57 ////////////////////////////////////////////////////////////////////////
 58 //                                                 58 //
 59 // Private enums: Not for external use         <<  59 // Private enum: Not for external use - used by distanceToOut
 60                                                    60 
 61 namespace                                      <<  61 enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kPZ,kMZ};
 62 {                                              << 
 63   // used by DistanceToOut()                   << 
 64   //                                           << 
 65   enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kP << 
 66                                                    62 
 67   // used by ApproxSurfaceNormal()             <<  63 // used by normal
 68   //                                           <<  64 
 69   enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNZ} <<  65 enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNZ};
 70 }                                              << 
 71                                                    66 
 72 //////////////////////////////////////////////     67 //////////////////////////////////////////////////////////////////////////
 73 //                                                 68 //
 74 // constructor - check parameters, convert ang     69 // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI
 75 //             - note if pDPhi>2PI then reset      70 //             - note if pDPhi>2PI then reset to 2PI
 76                                                    71 
 77 G4Cons::G4Cons( const G4String& pName,             72 G4Cons::G4Cons( const G4String& pName,
 78                       G4double  pRmin1, G4doub     73                       G4double  pRmin1, G4double pRmax1,
 79                       G4double  pRmin2, G4doub     74                       G4double  pRmin2, G4double pRmax2,
 80                       G4double pDz,                75                       G4double pDz,
 81                       G4double pSPhi, G4double     76                       G4double pSPhi, G4double pDPhi)
 82   : G4CSGSolid(pName), fRmin1(pRmin1), fRmin2(     77   : G4CSGSolid(pName), fRmin1(pRmin1), fRmin2(pRmin2),
 83     fRmax1(pRmax1), fRmax2(pRmax2), fDz(pDz),      78     fRmax1(pRmax1), fRmax2(pRmax2), fDz(pDz), fSPhi(0.), fDPhi(0.)
 84 {                                                  79 {
 85   kRadTolerance = G4GeometryTolerance::GetInst     80   kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance();
 86   kAngTolerance = G4GeometryTolerance::GetInst     81   kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance();
 87                                                    82 
 88   halfCarTolerance=kCarTolerance*0.5;              83   halfCarTolerance=kCarTolerance*0.5;
 89   halfRadTolerance=kRadTolerance*0.5;              84   halfRadTolerance=kRadTolerance*0.5;
 90   halfAngTolerance=kAngTolerance*0.5;              85   halfAngTolerance=kAngTolerance*0.5;
 91                                                    86 
 92   // Check z-len                                   87   // Check z-len
 93   //                                               88   //
 94   if ( pDz < 0 )                                   89   if ( pDz < 0 )
 95   {                                                90   {
 96     std::ostringstream message;                    91     std::ostringstream message;
 97     message << "Invalid Z half-length for Soli     92     message << "Invalid Z half-length for Solid: " << GetName() << G4endl
 98             << "        hZ = " << pDz;             93             << "        hZ = " << pDz;
 99     G4Exception("G4Cons::G4Cons()", "GeomSolid     94     G4Exception("G4Cons::G4Cons()", "GeomSolids0002",
100                 FatalException, message);          95                 FatalException, message);
101   }                                                96   }
102                                                    97 
103   // Check radii                                   98   // Check radii
104   //                                               99   //
105   if (((pRmin1>=pRmax1) || (pRmin2>=pRmax2) ||    100   if (((pRmin1>=pRmax1) || (pRmin2>=pRmax2) || (pRmin1<0)) && (pRmin2<0))
106   {                                               101   {
107     std::ostringstream message;                   102     std::ostringstream message;
108     message << "Invalid values of radii for So    103     message << "Invalid values of radii for Solid: " << GetName() << G4endl
109             << "        pRmin1 = " << pRmin1 <    104             << "        pRmin1 = " << pRmin1 << ", pRmin2 = " << pRmin2
110             << ", pRmax1 = " << pRmax1 << ", p    105             << ", pRmax1 = " << pRmax1 << ", pRmax2 = " << pRmax2;
111     G4Exception("G4Cons::G4Cons()", "GeomSolid    106     G4Exception("G4Cons::G4Cons()", "GeomSolids0002",
112                 FatalException, message) ;        107                 FatalException, message) ;
113   }                                               108   }
114   if( (pRmin1 == 0.0) && (pRmin2 > 0.0) ) { fR    109   if( (pRmin1 == 0.0) && (pRmin2 > 0.0) ) { fRmin1 = 1e3*kRadTolerance ; }
115   if( (pRmin2 == 0.0) && (pRmin1 > 0.0) ) { fR    110   if( (pRmin2 == 0.0) && (pRmin1 > 0.0) ) { fRmin2 = 1e3*kRadTolerance ; }
116                                                   111 
117   // Check angles                                 112   // Check angles
118   //                                              113   //
119   CheckPhiAngles(pSPhi, pDPhi);                   114   CheckPhiAngles(pSPhi, pDPhi);
120 }                                                 115 }
121                                                   116 
122 //////////////////////////////////////////////    117 ///////////////////////////////////////////////////////////////////////
123 //                                                118 //
124 // Fake default constructor - sets only member    119 // Fake default constructor - sets only member data and allocates memory
125 //                            for usage restri    120 //                            for usage restricted to object persistency.
126 //                                                121 //
127 G4Cons::G4Cons( __void__& a )                     122 G4Cons::G4Cons( __void__& a )
128   : G4CSGSolid(a)                              << 123   : G4CSGSolid(a), kRadTolerance(0.), kAngTolerance(0.),
                                                   >> 124     fRmin1(0.), fRmin2(0.), fRmax1(0.), fRmax2(0.), fDz(0.),
                                                   >> 125     fSPhi(0.), fDPhi(0.), sinCPhi(0.), cosCPhi(0.), cosHDPhi(0.),
                                                   >> 126     cosHDPhiOT(0.), cosHDPhiIT(0.), sinSPhi(0.), cosSPhi(0.),
                                                   >> 127     sinEPhi(0.), cosEPhi(0.),
                                                   >> 128     halfCarTolerance(0.), halfRadTolerance(0.), halfAngTolerance(0.)
129 {                                                 129 {
130 }                                                 130 }
131                                                   131 
132 //////////////////////////////////////////////    132 ///////////////////////////////////////////////////////////////////////
133 //                                                133 //
134 // Destructor                                     134 // Destructor
135                                                   135 
136 G4Cons::~G4Cons() = default;                   << 136 G4Cons::~G4Cons()
                                                   >> 137 {
                                                   >> 138 }
137                                                   139 
138 //////////////////////////////////////////////    140 //////////////////////////////////////////////////////////////////////////
139 //                                                141 //
140 // Copy constructor                               142 // Copy constructor
141                                                   143 
142 G4Cons::G4Cons(const G4Cons&) = default;       << 144 G4Cons::G4Cons(const G4Cons& rhs)
                                                   >> 145   : G4CSGSolid(rhs), kRadTolerance(rhs.kRadTolerance),
                                                   >> 146     kAngTolerance(rhs.kAngTolerance), fRmin1(rhs.fRmin1), fRmin2(rhs.fRmin2),
                                                   >> 147     fRmax1(rhs.fRmax1), fRmax2(rhs.fRmax2), fDz(rhs.fDz), fSPhi(rhs.fSPhi),
                                                   >> 148     fDPhi(rhs.fDPhi), sinCPhi(rhs.sinCPhi), cosCPhi(rhs.cosCPhi),
                                                   >> 149     cosHDPhi(rhs.cosHDPhi), cosHDPhiOT(rhs.cosHDPhiOT),
                                                   >> 150     cosHDPhiIT(rhs.cosHDPhiIT), sinSPhi(rhs.sinSPhi), cosSPhi(rhs.cosSPhi),
                                                   >> 151     sinEPhi(rhs.sinEPhi), cosEPhi(rhs.cosEPhi), fPhiFullCone(rhs.fPhiFullCone),
                                                   >> 152     halfCarTolerance(rhs.halfCarTolerance),
                                                   >> 153     halfRadTolerance(rhs.halfRadTolerance),
                                                   >> 154     halfAngTolerance(rhs.halfAngTolerance)
                                                   >> 155 {
                                                   >> 156 }
143                                                   157 
144 //////////////////////////////////////////////    158 //////////////////////////////////////////////////////////////////////////
145 //                                                159 //
146 // Assignment operator                            160 // Assignment operator
147                                                   161 
148 G4Cons& G4Cons::operator = (const G4Cons& rhs)    162 G4Cons& G4Cons::operator = (const G4Cons& rhs) 
149 {                                                 163 {
150    // Check assignment to self                    164    // Check assignment to self
151    //                                             165    //
152    if (this == &rhs)  { return *this; }           166    if (this == &rhs)  { return *this; }
153                                                   167 
154    // Copy base class data                        168    // Copy base class data
155    //                                             169    //
156    G4CSGSolid::operator=(rhs);                    170    G4CSGSolid::operator=(rhs);
157                                                   171 
158    // Copy data                                   172    // Copy data
159    //                                             173    //
160    kRadTolerance = rhs.kRadTolerance;             174    kRadTolerance = rhs.kRadTolerance;
161    kAngTolerance = rhs.kAngTolerance;             175    kAngTolerance = rhs.kAngTolerance;
162    fRmin1 = rhs.fRmin1; fRmin2 = rhs.fRmin2;      176    fRmin1 = rhs.fRmin1; fRmin2 = rhs.fRmin2;
163    fRmax1 = rhs.fRmax1; fRmax2 = rhs.fRmax2;      177    fRmax1 = rhs.fRmax1; fRmax2 = rhs.fRmax2;
164    fDz = rhs.fDz; fSPhi = rhs.fSPhi; fDPhi = r    178    fDz = rhs.fDz; fSPhi = rhs.fSPhi; fDPhi = rhs.fDPhi;
165    sinCPhi = rhs.sinCPhi; cosCPhi = rhs.cosCPh    179    sinCPhi = rhs.sinCPhi; cosCPhi = rhs.cosCPhi; cosHDPhi = rhs.cosHDPhi;
166    cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = r    180    cosHDPhiOT = rhs.cosHDPhiOT; cosHDPhiIT = rhs.cosHDPhiIT;
167    sinSPhi = rhs.sinSPhi; cosSPhi = rhs.cosSPh    181    sinSPhi = rhs.sinSPhi; cosSPhi = rhs.cosSPhi;
168    sinEPhi = rhs.sinEPhi; cosEPhi = rhs.cosEPh    182    sinEPhi = rhs.sinEPhi; cosEPhi = rhs.cosEPhi;
169    fPhiFullCone = rhs.fPhiFullCone;               183    fPhiFullCone = rhs.fPhiFullCone;
170    halfCarTolerance = rhs.halfCarTolerance;       184    halfCarTolerance = rhs.halfCarTolerance;
171    halfRadTolerance = rhs.halfRadTolerance;       185    halfRadTolerance = rhs.halfRadTolerance;
172    halfAngTolerance = rhs.halfAngTolerance;       186    halfAngTolerance = rhs.halfAngTolerance;
173                                                   187 
174    return *this;                                  188    return *this;
175 }                                                 189 }
176                                                   190 
177 //////////////////////////////////////////////    191 /////////////////////////////////////////////////////////////////////
178 //                                                192 //
179 // Return whether point inside/outside/on surf    193 // Return whether point inside/outside/on surface
180                                                   194 
181 EInside G4Cons::Inside(const G4ThreeVector& p)    195 EInside G4Cons::Inside(const G4ThreeVector& p) const
182 {                                                 196 {
183   G4double r2, rl, rh, pPhi, tolRMin, tolRMax;    197   G4double r2, rl, rh, pPhi, tolRMin, tolRMax; // rh2, rl2 ;
184   EInside in;                                     198   EInside in;
185                                                   199 
186   if (std::fabs(p.z()) > fDz + halfCarToleranc    200   if (std::fabs(p.z()) > fDz + halfCarTolerance )  { return in = kOutside; }
187   else if(std::fabs(p.z()) >= fDz - halfCarTol    201   else if(std::fabs(p.z()) >= fDz - halfCarTolerance )    { in = kSurface; }
188   else                                            202   else                                                    { in = kInside;  }
189                                                   203 
190   r2 = p.x()*p.x() + p.y()*p.y() ;                204   r2 = p.x()*p.x() + p.y()*p.y() ;
191   rl = 0.5*(fRmin2*(p.z() + fDz) + fRmin1*(fDz    205   rl = 0.5*(fRmin2*(p.z() + fDz) + fRmin1*(fDz - p.z()))/fDz ;
192   rh = 0.5*(fRmax2*(p.z()+fDz)+fRmax1*(fDz-p.z    206   rh = 0.5*(fRmax2*(p.z()+fDz)+fRmax1*(fDz-p.z()))/fDz;
193                                                   207 
194   // rh2 = rh*rh;                                 208   // rh2 = rh*rh;
195                                                   209 
196   tolRMin = rl - halfRadTolerance;                210   tolRMin = rl - halfRadTolerance;
197   if ( tolRMin < 0 )  { tolRMin = 0; }            211   if ( tolRMin < 0 )  { tolRMin = 0; }
198   tolRMax = rh + halfRadTolerance;                212   tolRMax = rh + halfRadTolerance;
199                                                   213 
200   if ( (r2<tolRMin*tolRMin) || (r2>tolRMax*tol    214   if ( (r2<tolRMin*tolRMin) || (r2>tolRMax*tolRMax) ) { return in = kOutside; }
201                                                   215 
202   if (rl != 0.0) { tolRMin = rl + halfRadToler << 216   if (rl) { tolRMin = rl + halfRadTolerance; }
203   else    { tolRMin = 0.0; }                      217   else    { tolRMin = 0.0; }
204   tolRMax = rh - halfRadTolerance;                218   tolRMax = rh - halfRadTolerance;
205                                                   219       
206   if (in == kInside) // else it's kSurface alr    220   if (in == kInside) // else it's kSurface already
207   {                                               221   {
208      if ( (r2 < tolRMin*tolRMin) || (r2 >= tol    222      if ( (r2 < tolRMin*tolRMin) || (r2 >= tolRMax*tolRMax) ) { in = kSurface; }
209   }                                               223   }
210   if ( !fPhiFullCone && ((p.x() != 0.0) || (p.    224   if ( !fPhiFullCone && ((p.x() != 0.0) || (p.y() != 0.0)) )
211   {                                               225   {
212     pPhi = std::atan2(p.y(),p.x()) ;              226     pPhi = std::atan2(p.y(),p.x()) ;
213                                                   227 
214     if ( pPhi < fSPhi - halfAngTolerance  )       228     if ( pPhi < fSPhi - halfAngTolerance  )             { pPhi += twopi; }
215     else if ( pPhi > fSPhi + fDPhi + halfAngTo    229     else if ( pPhi > fSPhi + fDPhi + halfAngTolerance ) { pPhi -= twopi; }
216                                                   230     
217     if ( (pPhi < fSPhi - halfAngTolerance) ||     231     if ( (pPhi < fSPhi - halfAngTolerance) ||          
218          (pPhi > fSPhi + fDPhi + halfAngTolera    232          (pPhi > fSPhi + fDPhi + halfAngTolerance) )  { return in = kOutside; }
219                                                   233       
220     else if (in == kInside)  // else it's kSur    234     else if (in == kInside)  // else it's kSurface anyway already
221     {                                             235     {
222        if ( (pPhi < fSPhi + halfAngTolerance)     236        if ( (pPhi < fSPhi + halfAngTolerance) || 
223             (pPhi > fSPhi + fDPhi - halfAngTol    237             (pPhi > fSPhi + fDPhi - halfAngTolerance) )  { in = kSurface; }
224     }                                             238     }
225   }                                               239   }
226   else if ( !fPhiFullCone )  { in = kSurface;     240   else if ( !fPhiFullCone )  { in = kSurface; }
227                                                   241 
228   return in ;                                     242   return in ;
229 }                                                 243 }
230                                                   244 
231 //////////////////////////////////////////////    245 /////////////////////////////////////////////////////////////////////////
232 //                                                246 //
233 // Dispatch to parameterisation for replicatio    247 // Dispatch to parameterisation for replication mechanism dimension
234 // computation & modification.                    248 // computation & modification.
235                                                   249 
236 void G4Cons::ComputeDimensions(      G4VPVPara    250 void G4Cons::ComputeDimensions(      G4VPVParameterisation* p,
237                                const G4int        251                                const G4int                  n,
238                                const G4VPhysic    252                                const G4VPhysicalVolume*     pRep    )
239 {                                                 253 {
240   p->ComputeDimensions(*this,n,pRep) ;            254   p->ComputeDimensions(*this,n,pRep) ;
241 }                                                 255 }
242                                                   256 
243 //////////////////////////////////////////////    257 ///////////////////////////////////////////////////////////////////////
244 //                                                258 //
245 // Get bounding box                               259 // Get bounding box
246                                                   260 
247 void G4Cons::BoundingLimits(G4ThreeVector& pMi    261 void G4Cons::BoundingLimits(G4ThreeVector& pMin, G4ThreeVector& pMax) const
248 {                                                 262 {
249   G4double rmin = std::min(GetInnerRadiusMinus    263   G4double rmin = std::min(GetInnerRadiusMinusZ(),GetInnerRadiusPlusZ());
250   G4double rmax = std::max(GetOuterRadiusMinus    264   G4double rmax = std::max(GetOuterRadiusMinusZ(),GetOuterRadiusPlusZ());
251   G4double dz   = GetZHalfLength();               265   G4double dz   = GetZHalfLength();
252                                                   266 
253   // Find bounding box                            267   // Find bounding box
254   //                                              268   //
255   if (GetDeltaPhiAngle() < twopi)                 269   if (GetDeltaPhiAngle() < twopi)
256   {                                               270   {
257     G4TwoVector vmin,vmax;                        271     G4TwoVector vmin,vmax;
258     G4GeomTools::DiskExtent(rmin,rmax,            272     G4GeomTools::DiskExtent(rmin,rmax,
259                             GetSinStartPhi(),G    273                             GetSinStartPhi(),GetCosStartPhi(),
260                             GetSinEndPhi(),Get    274                             GetSinEndPhi(),GetCosEndPhi(),
261                             vmin,vmax);           275                             vmin,vmax);
262     pMin.set(vmin.x(),vmin.y(),-dz);              276     pMin.set(vmin.x(),vmin.y(),-dz);
263     pMax.set(vmax.x(),vmax.y(), dz);              277     pMax.set(vmax.x(),vmax.y(), dz);
264   }                                               278   }
265   else                                            279   else
266   {                                               280   {
267     pMin.set(-rmax,-rmax,-dz);                    281     pMin.set(-rmax,-rmax,-dz);
268     pMax.set( rmax, rmax, dz);                    282     pMax.set( rmax, rmax, dz);
269   }                                               283   }
270                                                   284 
271   // Check correctness of the bounding box        285   // Check correctness of the bounding box
272   //                                              286   //
273   if (pMin.x() >= pMax.x() || pMin.y() >= pMax    287   if (pMin.x() >= pMax.x() || pMin.y() >= pMax.y() || pMin.z() >= pMax.z())
274   {                                               288   {
275     std::ostringstream message;                   289     std::ostringstream message;
276     message << "Bad bounding box (min >= max)     290     message << "Bad bounding box (min >= max) for solid: "
277             << GetName() << " !"                  291             << GetName() << " !"
278             << "\npMin = " << pMin                292             << "\npMin = " << pMin
279             << "\npMax = " << pMax;               293             << "\npMax = " << pMax;
280     G4Exception("G4Cons::BoundingLimits()", "G    294     G4Exception("G4Cons::BoundingLimits()", "GeomMgt0001",
281                 JustWarning, message);            295                 JustWarning, message);
282     DumpInfo();                                   296     DumpInfo();
283   }                                               297   }
284 }                                                 298 }
285                                                   299 
286 //////////////////////////////////////////////    300 ///////////////////////////////////////////////////////////////////////
287 //                                                301 //
288 // Calculate extent under transform and specif    302 // Calculate extent under transform and specified limit
289                                                   303 
290 G4bool G4Cons::CalculateExtent( const EAxis       304 G4bool G4Cons::CalculateExtent( const EAxis              pAxis,
291                                 const G4VoxelL    305                                 const G4VoxelLimits&     pVoxelLimit,
292                                 const G4Affine    306                                 const G4AffineTransform& pTransform,
293                                       G4double    307                                       G4double&          pMin,
294                                       G4double    308                                       G4double&          pMax ) const
295 {                                                 309 {
296   G4ThreeVector bmin, bmax;                       310   G4ThreeVector bmin, bmax;
297   G4bool exist;                                   311   G4bool exist;
298                                                   312 
299   // Get bounding box                             313   // Get bounding box
300   BoundingLimits(bmin,bmax);                      314   BoundingLimits(bmin,bmax);
301                                                   315 
302   // Check bounding box                           316   // Check bounding box
303   G4BoundingEnvelope bbox(bmin,bmax);             317   G4BoundingEnvelope bbox(bmin,bmax);
304 #ifdef G4BBOX_EXTENT                              318 #ifdef G4BBOX_EXTENT
305   if (true) return bbox.CalculateExtent(pAxis,    319   if (true) return bbox.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
306 #endif                                            320 #endif
307   if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVox    321   if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVoxelLimit,pTransform,pMin,pMax))
308   {                                               322   {
309     return exist = pMin < pMax;                << 323     return exist = (pMin < pMax) ? true : false;
310   }                                               324   }
311                                                   325 
312   // Get parameters of the solid                  326   // Get parameters of the solid
313   G4double rmin1 = GetInnerRadiusMinusZ();        327   G4double rmin1 = GetInnerRadiusMinusZ();
314   G4double rmax1 = GetOuterRadiusMinusZ();        328   G4double rmax1 = GetOuterRadiusMinusZ();
315   G4double rmin2 = GetInnerRadiusPlusZ();         329   G4double rmin2 = GetInnerRadiusPlusZ();
316   G4double rmax2 = GetOuterRadiusPlusZ();         330   G4double rmax2 = GetOuterRadiusPlusZ();
317   G4double dz    = GetZHalfLength();              331   G4double dz    = GetZHalfLength();
318   G4double dphi  = GetDeltaPhiAngle();            332   G4double dphi  = GetDeltaPhiAngle();
319                                                   333 
320   // Find bounding envelope and calculate exte    334   // Find bounding envelope and calculate extent
321   //                                              335   //
322   const G4int NSTEPS = 24;            // numbe    336   const G4int NSTEPS = 24;            // number of steps for whole circle
323   G4double astep  = twopi/NSTEPS;     // max a    337   G4double astep  = twopi/NSTEPS;     // max angle for one step
324   G4int    ksteps = (dphi <= astep) ? 1 : (G4i    338   G4int    ksteps = (dphi <= astep) ? 1 : (G4int)((dphi-deg)/astep) + 1;
325   G4double ang    = dphi/ksteps;                  339   G4double ang    = dphi/ksteps;
326                                                   340 
327   G4double sinHalf = std::sin(0.5*ang);           341   G4double sinHalf = std::sin(0.5*ang);
328   G4double cosHalf = std::cos(0.5*ang);           342   G4double cosHalf = std::cos(0.5*ang);
329   G4double sinStep = 2.*sinHalf*cosHalf;          343   G4double sinStep = 2.*sinHalf*cosHalf;
330   G4double cosStep = 1. - 2.*sinHalf*sinHalf;     344   G4double cosStep = 1. - 2.*sinHalf*sinHalf;
331   G4double rext1   = rmax1/cosHalf;               345   G4double rext1   = rmax1/cosHalf;
332   G4double rext2   = rmax2/cosHalf;               346   G4double rext2   = rmax2/cosHalf;
333                                                   347 
334   // bounding envelope for full cone without h    348   // bounding envelope for full cone without hole consists of two polygons,
335   // in other cases it is a sequence of quadri    349   // in other cases it is a sequence of quadrilaterals
336   if (rmin1 == 0 && rmin2 == 0 && dphi == twop    350   if (rmin1 == 0 && rmin2 == 0 && dphi == twopi)
337   {                                               351   {
338     G4double sinCur = sinHalf;                    352     G4double sinCur = sinHalf;
339     G4double cosCur = cosHalf;                    353     G4double cosCur = cosHalf;
340                                                   354 
341     G4ThreeVectorList baseA(NSTEPS),baseB(NSTE    355     G4ThreeVectorList baseA(NSTEPS),baseB(NSTEPS);
342     for (G4int k=0; k<NSTEPS; ++k)                356     for (G4int k=0; k<NSTEPS; ++k)
343     {                                             357     {
344       baseA[k].set(rext1*cosCur,rext1*sinCur,-    358       baseA[k].set(rext1*cosCur,rext1*sinCur,-dz);
345       baseB[k].set(rext2*cosCur,rext2*sinCur,     359       baseB[k].set(rext2*cosCur,rext2*sinCur, dz);
346                                                   360 
347       G4double sinTmp = sinCur;                   361       G4double sinTmp = sinCur;
348       sinCur = sinCur*cosStep + cosCur*sinStep    362       sinCur = sinCur*cosStep + cosCur*sinStep;
349       cosCur = cosCur*cosStep - sinTmp*sinStep    363       cosCur = cosCur*cosStep - sinTmp*sinStep;
350     }                                             364     }
351     std::vector<const G4ThreeVectorList *> pol    365     std::vector<const G4ThreeVectorList *> polygons(2);
352     polygons[0] = &baseA;                         366     polygons[0] = &baseA;
353     polygons[1] = &baseB;                         367     polygons[1] = &baseB;
354     G4BoundingEnvelope benv(bmin,bmax,polygons    368     G4BoundingEnvelope benv(bmin,bmax,polygons);
355     exist = benv.CalculateExtent(pAxis,pVoxelL    369     exist = benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
356   }                                               370   }
357   else                                            371   else
358   {                                               372   {
359     G4double sinStart = GetSinStartPhi();         373     G4double sinStart = GetSinStartPhi();
360     G4double cosStart = GetCosStartPhi();         374     G4double cosStart = GetCosStartPhi();
361     G4double sinEnd   = GetSinEndPhi();           375     G4double sinEnd   = GetSinEndPhi();
362     G4double cosEnd   = GetCosEndPhi();           376     G4double cosEnd   = GetCosEndPhi();
363     G4double sinCur   = sinStart*cosHalf + cos    377     G4double sinCur   = sinStart*cosHalf + cosStart*sinHalf;
364     G4double cosCur   = cosStart*cosHalf - sin    378     G4double cosCur   = cosStart*cosHalf - sinStart*sinHalf;
365                                                   379 
366     // set quadrilaterals                         380     // set quadrilaterals
367     G4ThreeVectorList pols[NSTEPS+2];             381     G4ThreeVectorList pols[NSTEPS+2];
368     for (G4int k=0; k<ksteps+2; ++k) pols[k].r    382     for (G4int k=0; k<ksteps+2; ++k) pols[k].resize(4);
369     pols[0][0].set(rmin2*cosStart,rmin2*sinSta    383     pols[0][0].set(rmin2*cosStart,rmin2*sinStart, dz);
370     pols[0][1].set(rmin1*cosStart,rmin1*sinSta    384     pols[0][1].set(rmin1*cosStart,rmin1*sinStart,-dz);
371     pols[0][2].set(rmax1*cosStart,rmax1*sinSta    385     pols[0][2].set(rmax1*cosStart,rmax1*sinStart,-dz);
372     pols[0][3].set(rmax2*cosStart,rmax2*sinSta    386     pols[0][3].set(rmax2*cosStart,rmax2*sinStart, dz);
373     for (G4int k=1; k<ksteps+1; ++k)              387     for (G4int k=1; k<ksteps+1; ++k)
374     {                                             388     {
375       pols[k][0].set(rmin2*cosCur,rmin2*sinCur    389       pols[k][0].set(rmin2*cosCur,rmin2*sinCur, dz);
376       pols[k][1].set(rmin1*cosCur,rmin1*sinCur    390       pols[k][1].set(rmin1*cosCur,rmin1*sinCur,-dz);
377       pols[k][2].set(rext1*cosCur,rext1*sinCur    391       pols[k][2].set(rext1*cosCur,rext1*sinCur,-dz);
378       pols[k][3].set(rext2*cosCur,rext2*sinCur    392       pols[k][3].set(rext2*cosCur,rext2*sinCur, dz);
379                                                   393 
380       G4double sinTmp = sinCur;                   394       G4double sinTmp = sinCur;
381       sinCur = sinCur*cosStep + cosCur*sinStep    395       sinCur = sinCur*cosStep + cosCur*sinStep;
382       cosCur = cosCur*cosStep - sinTmp*sinStep    396       cosCur = cosCur*cosStep - sinTmp*sinStep;
383     }                                             397     }
384     pols[ksteps+1][0].set(rmin2*cosEnd,rmin2*s    398     pols[ksteps+1][0].set(rmin2*cosEnd,rmin2*sinEnd, dz);
385     pols[ksteps+1][1].set(rmin1*cosEnd,rmin1*s    399     pols[ksteps+1][1].set(rmin1*cosEnd,rmin1*sinEnd,-dz);
386     pols[ksteps+1][2].set(rmax1*cosEnd,rmax1*s    400     pols[ksteps+1][2].set(rmax1*cosEnd,rmax1*sinEnd,-dz);
387     pols[ksteps+1][3].set(rmax2*cosEnd,rmax2*s    401     pols[ksteps+1][3].set(rmax2*cosEnd,rmax2*sinEnd, dz);
388                                                   402 
389     // set envelope and calculate extent          403     // set envelope and calculate extent
390     std::vector<const G4ThreeVectorList *> pol    404     std::vector<const G4ThreeVectorList *> polygons;
391     polygons.resize(ksteps+2);                    405     polygons.resize(ksteps+2);
392     for (G4int k=0; k<ksteps+2; ++k) polygons[    406     for (G4int k=0; k<ksteps+2; ++k) polygons[k] = &pols[k];
393     G4BoundingEnvelope benv(bmin,bmax,polygons    407     G4BoundingEnvelope benv(bmin,bmax,polygons);
394     exist = benv.CalculateExtent(pAxis,pVoxelL    408     exist = benv.CalculateExtent(pAxis,pVoxelLimit,pTransform,pMin,pMax);
395   }                                               409   }
396   return exist;                                   410   return exist;
397 }                                                 411 }
398                                                   412 
399 //////////////////////////////////////////////    413 ////////////////////////////////////////////////////////////////////////
400 //                                                414 //
401 // Return unit normal of surface closest to p     415 // Return unit normal of surface closest to p
402 // - note if point on z axis, ignore phi divid    416 // - note if point on z axis, ignore phi divided sides
403 // - unsafe if point close to z axis a rmin=0     417 // - unsafe if point close to z axis a rmin=0 - no explicit checks
404                                                   418 
405 G4ThreeVector G4Cons::SurfaceNormal( const G4T    419 G4ThreeVector G4Cons::SurfaceNormal( const G4ThreeVector& p) const
406 {                                                 420 {
407   G4int noSurfaces = 0;                           421   G4int noSurfaces = 0;
408   G4double rho, pPhi;                             422   G4double rho, pPhi;
409   G4double distZ, distRMin, distRMax;             423   G4double distZ, distRMin, distRMax;
410   G4double distSPhi = kInfinity, distEPhi = kI    424   G4double distSPhi = kInfinity, distEPhi = kInfinity;
411   G4double tanRMin, secRMin, pRMin, widRMin;      425   G4double tanRMin, secRMin, pRMin, widRMin;
412   G4double tanRMax, secRMax, pRMax, widRMax;      426   G4double tanRMax, secRMax, pRMax, widRMax;
413                                                   427 
414   G4ThreeVector norm, sumnorm(0.,0.,0.), nZ =     428   G4ThreeVector norm, sumnorm(0.,0.,0.), nZ = G4ThreeVector(0.,0.,1.);
415   G4ThreeVector nR, nr(0.,0.,0.), nPs, nPe;       429   G4ThreeVector nR, nr(0.,0.,0.), nPs, nPe;
416                                                   430 
417   distZ = std::fabs(std::fabs(p.z()) - fDz);      431   distZ = std::fabs(std::fabs(p.z()) - fDz);
418   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y())    432   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y());
419                                                   433 
420   tanRMin  = (fRmin2 - fRmin1)*0.5/fDz;           434   tanRMin  = (fRmin2 - fRmin1)*0.5/fDz;
421   secRMin  = std::sqrt(1 + tanRMin*tanRMin);      435   secRMin  = std::sqrt(1 + tanRMin*tanRMin);
422   pRMin    = rho - p.z()*tanRMin;                 436   pRMin    = rho - p.z()*tanRMin;
423   widRMin  = fRmin2 - fDz*tanRMin;                437   widRMin  = fRmin2 - fDz*tanRMin;
424   distRMin = std::fabs(pRMin - widRMin)/secRMi    438   distRMin = std::fabs(pRMin - widRMin)/secRMin;
425                                                   439 
426   tanRMax  = (fRmax2 - fRmax1)*0.5/fDz;           440   tanRMax  = (fRmax2 - fRmax1)*0.5/fDz;
427   secRMax  = std::sqrt(1+tanRMax*tanRMax);        441   secRMax  = std::sqrt(1+tanRMax*tanRMax);
428   pRMax    = rho - p.z()*tanRMax;                 442   pRMax    = rho - p.z()*tanRMax;
429   widRMax  = fRmax2 - fDz*tanRMax;                443   widRMax  = fRmax2 - fDz*tanRMax;
430   distRMax = std::fabs(pRMax - widRMax)/secRMa    444   distRMax = std::fabs(pRMax - widRMax)/secRMax;
431                                                   445 
432   if (!fPhiFullCone)   // Protected against (0    446   if (!fPhiFullCone)   // Protected against (0,0,z) 
433   {                                               447   {
434     if ( rho != 0.0 )                          << 448     if ( rho )
435     {                                             449     {
436       pPhi = std::atan2(p.y(),p.x());             450       pPhi = std::atan2(p.y(),p.x());
437                                                   451 
438       if (pPhi  < fSPhi-halfCarTolerance)         452       if (pPhi  < fSPhi-halfCarTolerance)            { pPhi += twopi; }
439       else if (pPhi > fSPhi+fDPhi+halfCarToler    453       else if (pPhi > fSPhi+fDPhi+halfCarTolerance)  { pPhi -= twopi; }
440                                                   454 
441       distSPhi = std::fabs( pPhi - fSPhi );       455       distSPhi = std::fabs( pPhi - fSPhi ); 
442       distEPhi = std::fabs( pPhi - fSPhi - fDP    456       distEPhi = std::fabs( pPhi - fSPhi - fDPhi ); 
443     }                                             457     }
444     else if( ((fRmin1) == 0.0) || ((fRmin2) == << 458     else if( !(fRmin1) || !(fRmin2) )
445     {                                             459     {
446       distSPhi = 0.;                              460       distSPhi = 0.; 
447       distEPhi = 0.;                              461       distEPhi = 0.; 
448     }                                             462     }
449     nPs = G4ThreeVector( sinSPhi, -cosSPhi, 0     463     nPs = G4ThreeVector( sinSPhi, -cosSPhi, 0 );
450     nPe = G4ThreeVector( -sinEPhi, cosEPhi, 0     464     nPe = G4ThreeVector( -sinEPhi, cosEPhi, 0 );
451   }                                               465   }
452   if ( rho > halfCarTolerance )                   466   if ( rho > halfCarTolerance )   
453   {                                               467   {
454     nR = G4ThreeVector(p.x()/rho/secRMax, p.y(    468     nR = G4ThreeVector(p.x()/rho/secRMax, p.y()/rho/secRMax, -tanRMax/secRMax);
455     if ((fRmin1 != 0.0) || (fRmin2 != 0.0))    << 469     if (fRmin1 || fRmin2)
456     {                                             470     {
457       nr = G4ThreeVector(-p.x()/rho/secRMin,-p    471       nr = G4ThreeVector(-p.x()/rho/secRMin,-p.y()/rho/secRMin,tanRMin/secRMin);
458     }                                             472     }
459   }                                               473   }
460                                                   474 
461   if( distRMax <= halfCarTolerance )              475   if( distRMax <= halfCarTolerance )
462   {                                               476   {
463     ++noSurfaces;                                 477     ++noSurfaces;
464     sumnorm += nR;                                478     sumnorm += nR;
465   }                                               479   }
466   if( ((fRmin1 != 0.0) || (fRmin2 != 0.0)) &&  << 480   if( (fRmin1 || fRmin2) && (distRMin <= halfCarTolerance) )
467   {                                               481   {
468     ++noSurfaces;                                 482     ++noSurfaces;
469     sumnorm += nr;                                483     sumnorm += nr;
470   }                                               484   }
471   if( !fPhiFullCone )                             485   if( !fPhiFullCone )   
472   {                                               486   {
473     if (distSPhi <= halfAngTolerance)             487     if (distSPhi <= halfAngTolerance)
474     {                                             488     {
475       ++noSurfaces;                               489       ++noSurfaces;
476       sumnorm += nPs;                             490       sumnorm += nPs;
477     }                                             491     }
478     if (distEPhi <= halfAngTolerance)             492     if (distEPhi <= halfAngTolerance) 
479     {                                             493     {
480       ++noSurfaces;                               494       ++noSurfaces;
481       sumnorm += nPe;                             495       sumnorm += nPe;
482     }                                             496     }
483   }                                               497   }
484   if (distZ <= halfCarTolerance)                  498   if (distZ <= halfCarTolerance)  
485   {                                               499   {
486     ++noSurfaces;                                 500     ++noSurfaces;
487     if ( p.z() >= 0.)  { sumnorm += nZ; }         501     if ( p.z() >= 0.)  { sumnorm += nZ; }
488     else               { sumnorm -= nZ; }         502     else               { sumnorm -= nZ; }
489   }                                               503   }
490   if ( noSurfaces == 0 )                          504   if ( noSurfaces == 0 )
491   {                                               505   {
492 #ifdef G4CSGDEBUG                                 506 #ifdef G4CSGDEBUG
493     G4Exception("G4Cons::SurfaceNormal(p)", "G    507     G4Exception("G4Cons::SurfaceNormal(p)", "GeomSolids1002",
494                 JustWarning, "Point p is not o    508                 JustWarning, "Point p is not on surface !?" );
495 #endif                                            509 #endif 
496      norm = ApproxSurfaceNormal(p);               510      norm = ApproxSurfaceNormal(p);
497   }                                               511   }
498   else if ( noSurfaces == 1 )  { norm = sumnor    512   else if ( noSurfaces == 1 )  { norm = sumnorm; }
499   else                         { norm = sumnor    513   else                         { norm = sumnorm.unit(); }
500                                                   514 
501   return norm ;                                   515   return norm ;
502 }                                                 516 }
503                                                   517 
504 //////////////////////////////////////////////    518 ////////////////////////////////////////////////////////////////////////////
505 //                                                519 //
506 // Algorithm for SurfaceNormal() following the    520 // Algorithm for SurfaceNormal() following the original specification
507 // for points not on the surface                  521 // for points not on the surface
508                                                   522 
509 G4ThreeVector G4Cons::ApproxSurfaceNormal( con    523 G4ThreeVector G4Cons::ApproxSurfaceNormal( const G4ThreeVector& p ) const
510 {                                                 524 {
511   ENorm side ;                                    525   ENorm side ;
512   G4ThreeVector norm ;                            526   G4ThreeVector norm ;
513   G4double rho, phi ;                             527   G4double rho, phi ;
514   G4double distZ, distRMin, distRMax, distSPhi    528   G4double distZ, distRMin, distRMax, distSPhi, distEPhi, distMin ;
515   G4double tanRMin, secRMin, pRMin, widRMin ;     529   G4double tanRMin, secRMin, pRMin, widRMin ;
516   G4double tanRMax, secRMax, pRMax, widRMax ;     530   G4double tanRMax, secRMax, pRMax, widRMax ;
517                                                   531 
518   distZ = std::fabs(std::fabs(p.z()) - fDz) ;     532   distZ = std::fabs(std::fabs(p.z()) - fDz) ;
519   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y())    533   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
520                                                   534 
521   tanRMin  = (fRmin2 - fRmin1)*0.5/fDz ;          535   tanRMin  = (fRmin2 - fRmin1)*0.5/fDz ;
522   secRMin  = std::sqrt(1 + tanRMin*tanRMin) ;     536   secRMin  = std::sqrt(1 + tanRMin*tanRMin) ;
523   pRMin    = rho - p.z()*tanRMin ;                537   pRMin    = rho - p.z()*tanRMin ;
524   widRMin  = fRmin2 - fDz*tanRMin ;               538   widRMin  = fRmin2 - fDz*tanRMin ;
525   distRMin = std::fabs(pRMin - widRMin)/secRMi    539   distRMin = std::fabs(pRMin - widRMin)/secRMin ;
526                                                   540 
527   tanRMax  = (fRmax2 - fRmax1)*0.5/fDz ;          541   tanRMax  = (fRmax2 - fRmax1)*0.5/fDz ;
528   secRMax  = std::sqrt(1+tanRMax*tanRMax) ;       542   secRMax  = std::sqrt(1+tanRMax*tanRMax) ;
529   pRMax    = rho - p.z()*tanRMax ;                543   pRMax    = rho - p.z()*tanRMax ;
530   widRMax  = fRmax2 - fDz*tanRMax ;               544   widRMax  = fRmax2 - fDz*tanRMax ;
531   distRMax = std::fabs(pRMax - widRMax)/secRMa    545   distRMax = std::fabs(pRMax - widRMax)/secRMax ;
532                                                   546   
533   if (distRMin < distRMax)  // First minimum      547   if (distRMin < distRMax)  // First minimum
534   {                                               548   {
535     if (distZ < distRMin)                         549     if (distZ < distRMin)
536     {                                             550     {
537       distMin = distZ ;                           551       distMin = distZ ;
538       side    = kNZ ;                             552       side    = kNZ ;
539     }                                             553     }
540     else                                          554     else
541     {                                             555     {
542       distMin = distRMin ;                        556       distMin = distRMin ;
543       side    = kNRMin ;                          557       side    = kNRMin ;
544     }                                             558     }
545   }                                               559   }
546   else                                            560   else
547   {                                               561   {
548     if (distZ < distRMax)                         562     if (distZ < distRMax)
549     {                                             563     {
550       distMin = distZ ;                           564       distMin = distZ ;
551       side    = kNZ ;                             565       side    = kNZ ;
552     }                                             566     }
553     else                                          567     else
554     {                                             568     {
555       distMin = distRMax ;                        569       distMin = distRMax ;
556       side    = kNRMax ;                          570       side    = kNRMax ;
557     }                                             571     }
558   }                                               572   }
559   if ( !fPhiFullCone && (rho != 0.0) )  // Pro << 573   if ( !fPhiFullCone && rho )  // Protected against (0,0,z) 
560   {                                               574   {
561     phi = std::atan2(p.y(),p.x()) ;               575     phi = std::atan2(p.y(),p.x()) ;
562                                                   576 
563     if (phi < 0)  { phi += twopi; }               577     if (phi < 0)  { phi += twopi; }
564                                                   578 
565     if (fSPhi < 0)  { distSPhi = std::fabs(phi    579     if (fSPhi < 0)  { distSPhi = std::fabs(phi - (fSPhi + twopi))*rho; }
566     else            { distSPhi = std::fabs(phi    580     else            { distSPhi = std::fabs(phi - fSPhi)*rho; }
567                                                   581 
568     distEPhi = std::fabs(phi - fSPhi - fDPhi)*    582     distEPhi = std::fabs(phi - fSPhi - fDPhi)*rho ;
569                                                   583 
570     // Find new minimum                           584     // Find new minimum
571                                                   585 
572     if (distSPhi < distEPhi)                      586     if (distSPhi < distEPhi)
573     {                                             587     {
574       if (distSPhi < distMin)  { side = kNSPhi    588       if (distSPhi < distMin)  { side = kNSPhi; }
575     }                                             589     }
576     else                                          590     else 
577     {                                             591     {
578       if (distEPhi < distMin)  { side = kNEPhi    592       if (distEPhi < distMin)  { side = kNEPhi; }
579     }                                             593     }
580   }                                               594   }    
581   switch (side)                                   595   switch (side)
582   {                                               596   {
583     case kNRMin:      // Inner radius             597     case kNRMin:      // Inner radius
584     {                                             598     {
585       rho *= secRMin ;                            599       rho *= secRMin ;
586       norm = G4ThreeVector(-p.x()/rho, -p.y()/    600       norm = G4ThreeVector(-p.x()/rho, -p.y()/rho, tanRMin/secRMin) ;
587       break ;                                     601       break ;
588     }                                             602     }
589     case kNRMax:      // Outer radius             603     case kNRMax:      // Outer radius
590     {                                             604     {
591       rho *= secRMax ;                            605       rho *= secRMax ;
592       norm = G4ThreeVector(p.x()/rho, p.y()/rh    606       norm = G4ThreeVector(p.x()/rho, p.y()/rho, -tanRMax/secRMax) ;
593       break ;                                     607       break ;
594     }                                             608     }
595     case kNZ:         // +/- dz                   609     case kNZ:         // +/- dz
596     {                                             610     {
597       if (p.z() > 0)  { norm = G4ThreeVector(0    611       if (p.z() > 0)  { norm = G4ThreeVector(0,0,1);  }
598       else            { norm = G4ThreeVector(0    612       else            { norm = G4ThreeVector(0,0,-1); }
599       break ;                                     613       break ;
600     }                                             614     }
601     case kNSPhi:                                  615     case kNSPhi:
602     {                                             616     {
603       norm = G4ThreeVector(sinSPhi, -cosSPhi,     617       norm = G4ThreeVector(sinSPhi, -cosSPhi, 0) ;
604       break ;                                     618       break ;
605     }                                             619     }
606     case kNEPhi:                                  620     case kNEPhi:
607     {                                             621     {
608       norm = G4ThreeVector(-sinEPhi, cosEPhi,     622       norm = G4ThreeVector(-sinEPhi, cosEPhi, 0) ;
609       break ;                                     623       break ;
610     }                                             624     }
611     default:          // Should never reach th    625     default:          // Should never reach this case...
612     {                                             626     {
613       DumpInfo();                                 627       DumpInfo();
614       G4Exception("G4Cons::ApproxSurfaceNormal    628       G4Exception("G4Cons::ApproxSurfaceNormal()",
615                   "GeomSolids1002", JustWarnin    629                   "GeomSolids1002", JustWarning,
616                   "Undefined side for valid su    630                   "Undefined side for valid surface normal to solid.");
617       break ;                                     631       break ;    
618     }                                             632     }
619   }                                               633   }
620   return norm ;                                   634   return norm ;
621 }                                                 635 }
622                                                   636 
623 //////////////////////////////////////////////    637 ////////////////////////////////////////////////////////////////////////
624 //                                                638 //
625 // Calculate distance to shape from outside, a    639 // Calculate distance to shape from outside, along normalised vector
626 // - return kInfinity if no intersection, or i    640 // - return kInfinity if no intersection, or intersection distance <= tolerance
627 //                                                641 //
628 // - Compute the intersection with the z plane    642 // - Compute the intersection with the z planes 
629 //        - if at valid r, phi, return            643 //        - if at valid r, phi, return
630 //                                                644 //
631 // -> If point is outside cone, compute inters    645 // -> If point is outside cone, compute intersection with rmax1*0.5
632 //        - if at valid phi,z return              646 //        - if at valid phi,z return
633 //        - if inside outer cone, handle case     647 //        - if inside outer cone, handle case when on tolerant outer cone
634 //          boundary and heading inwards(->0 t    648 //          boundary and heading inwards(->0 to in)
635 //                                                649 //
636 // -> Compute intersection with inner cone, ta    650 // -> Compute intersection with inner cone, taking largest +ve root
637 //        - if valid (in z,phi), save intersct    651 //        - if valid (in z,phi), save intersction
638 //                                                652 //
639 //    -> If phi segmented, compute intersectio    653 //    -> If phi segmented, compute intersections with phi half planes
640 //        - return smallest of valid phi inter    654 //        - return smallest of valid phi intersections and
641 //          inner radius intersection             655 //          inner radius intersection
642 //                                                656 //
643 // NOTE:                                          657 // NOTE:
644 // - `if valid' implies tolerant checking of i    658 // - `if valid' implies tolerant checking of intersection points
645 // - z, phi intersection from Tubs                659 // - z, phi intersection from Tubs
646                                                   660 
647 G4double G4Cons::DistanceToIn( const G4ThreeVe    661 G4double G4Cons::DistanceToIn( const G4ThreeVector& p,
648                                const G4ThreeVe    662                                const G4ThreeVector& v   ) const
649 {                                                 663 {
650   G4double snxt = kInfinity ;      // snxt = d    664   G4double snxt = kInfinity ;      // snxt = default return value
651   const G4double dRmax = 50*(fRmax1+fRmax2);//    665   const G4double dRmax = 50*(fRmax1+fRmax2);// 100*(Rmax1+Rmax2)/2.
652                                                   666 
653   G4double tanRMax,secRMax,rMaxAv,rMaxOAv ;  /    667   G4double tanRMax,secRMax,rMaxAv,rMaxOAv ;  // Data for cones
654   G4double tanRMin,secRMin,rMinAv,rMinOAv ;       668   G4double tanRMin,secRMin,rMinAv,rMinOAv ;
655   G4double rout,rin ;                             669   G4double rout,rin ;
656                                                   670 
657   G4double tolORMin,tolORMin2,tolIRMin,tolIRMi    671   G4double tolORMin,tolORMin2,tolIRMin,tolIRMin2 ; // `generous' radii squared
658   G4double tolORMax2,tolIRMax,tolIRMax2 ;         672   G4double tolORMax2,tolIRMax,tolIRMax2 ;
659   G4double tolODz,tolIDz ;                        673   G4double tolODz,tolIDz ;
660                                                   674 
661   G4double Dist,sd,xi,yi,zi,ri=0.,risec,rhoi2,    675   G4double Dist,sd,xi,yi,zi,ri=0.,risec,rhoi2,cosPsi ; // Intersection point vars
662                                                   676 
663   G4double t1,t2,t3,b,c,d ;    // Quadratic so    677   G4double t1,t2,t3,b,c,d ;    // Quadratic solver variables 
664   G4double nt1,nt2,nt3 ;                          678   G4double nt1,nt2,nt3 ;
665   G4double Comp ;                                 679   G4double Comp ;
666                                                   680 
667   G4ThreeVector Normal;                           681   G4ThreeVector Normal;
668                                                   682 
669   // Cone Precalcs                                683   // Cone Precalcs
670                                                   684 
671   tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;           685   tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;
672   secRMin = std::sqrt(1.0 + tanRMin*tanRMin) ;    686   secRMin = std::sqrt(1.0 + tanRMin*tanRMin) ;
673   rMinAv  = (fRmin1 + fRmin2)*0.5 ;               687   rMinAv  = (fRmin1 + fRmin2)*0.5 ;
674                                                   688 
675   if (rMinAv > halfRadTolerance)                  689   if (rMinAv > halfRadTolerance)
676   {                                               690   {
677     rMinOAv = rMinAv - halfRadTolerance ;         691     rMinOAv = rMinAv - halfRadTolerance ;
678   }                                               692   }
679   else                                            693   else
680   {                                               694   {
681     rMinOAv = 0.0 ;                               695     rMinOAv = 0.0 ;
682   }                                               696   }  
683   tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;           697   tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;
684   secRMax = std::sqrt(1.0 + tanRMax*tanRMax) ;    698   secRMax = std::sqrt(1.0 + tanRMax*tanRMax) ;
685   rMaxAv  = (fRmax1 + fRmax2)*0.5 ;               699   rMaxAv  = (fRmax1 + fRmax2)*0.5 ;
686   rMaxOAv = rMaxAv + halfRadTolerance ;           700   rMaxOAv = rMaxAv + halfRadTolerance ;
687                                                   701    
688   // Intersection with z-surfaces                 702   // Intersection with z-surfaces
689                                                   703 
690   tolIDz = fDz - halfCarTolerance ;               704   tolIDz = fDz - halfCarTolerance ;
691   tolODz = fDz + halfCarTolerance ;               705   tolODz = fDz + halfCarTolerance ;
692                                                   706 
693   if (std::fabs(p.z()) >= tolIDz)                 707   if (std::fabs(p.z()) >= tolIDz)
694   {                                               708   {
695     if ( p.z()*v.z() < 0 )    // at +Z going i    709     if ( p.z()*v.z() < 0 )    // at +Z going in -Z or visa versa
696     {                                             710     {
697       sd = (std::fabs(p.z()) - fDz)/std::fabs(    711       sd = (std::fabs(p.z()) - fDz)/std::fabs(v.z()) ; // Z intersect distance
698                                                   712 
699       if( sd < 0.0 )  { sd = 0.0; }               713       if( sd < 0.0 )  { sd = 0.0; }                    // negative dist -> zero
700                                                   714 
701       xi   = p.x() + sd*v.x() ;  // Intersecti    715       xi   = p.x() + sd*v.x() ;  // Intersection coords
702       yi   = p.y() + sd*v.y() ;                   716       yi   = p.y() + sd*v.y() ;
703       rhoi2 = xi*xi + yi*yi  ;                    717       rhoi2 = xi*xi + yi*yi  ;
704                                                   718 
705       // Check validity of intersection           719       // Check validity of intersection
706       // Calculate (outer) tolerant radi^2 at     720       // Calculate (outer) tolerant radi^2 at intersecion
707                                                   721 
708       if (v.z() > 0)                              722       if (v.z() > 0)
709       {                                           723       {
710         tolORMin  = fRmin1 - halfRadTolerance*    724         tolORMin  = fRmin1 - halfRadTolerance*secRMin ;
711         tolIRMin  = fRmin1 + halfRadTolerance*    725         tolIRMin  = fRmin1 + halfRadTolerance*secRMin ;
712         tolIRMax  = fRmax1 - halfRadTolerance*    726         tolIRMax  = fRmax1 - halfRadTolerance*secRMin ;
713         // tolORMax2 = (fRmax1 + halfRadTolera    727         // tolORMax2 = (fRmax1 + halfRadTolerance*secRMax)*
714         //             (fRmax1 + halfRadTolera    728         //             (fRmax1 + halfRadTolerance*secRMax) ;
715       }                                           729       }
716       else                                        730       else
717       {                                           731       {
718         tolORMin  = fRmin2 - halfRadTolerance*    732         tolORMin  = fRmin2 - halfRadTolerance*secRMin ;
719         tolIRMin  = fRmin2 + halfRadTolerance*    733         tolIRMin  = fRmin2 + halfRadTolerance*secRMin ;
720         tolIRMax  = fRmax2 - halfRadTolerance*    734         tolIRMax  = fRmax2 - halfRadTolerance*secRMin ;
721         // tolORMax2 = (fRmax2 + halfRadTolera    735         // tolORMax2 = (fRmax2 + halfRadTolerance*secRMax)*
722         //             (fRmax2 + halfRadTolera    736         //             (fRmax2 + halfRadTolerance*secRMax) ;
723       }                                           737       }
724       if ( tolORMin > 0 )                         738       if ( tolORMin > 0 ) 
725       {                                           739       {
726         // tolORMin2 = tolORMin*tolORMin ;        740         // tolORMin2 = tolORMin*tolORMin ;
727         tolIRMin2 = tolIRMin*tolIRMin ;           741         tolIRMin2 = tolIRMin*tolIRMin ;
728       }                                           742       }
729       else                                        743       else                
730       {                                           744       {
731         // tolORMin2 = 0.0 ;                      745         // tolORMin2 = 0.0 ;
732         tolIRMin2 = 0.0 ;                         746         tolIRMin2 = 0.0 ;
733       }                                           747       }
734       if ( tolIRMax > 0 )  { tolIRMax2 = tolIR    748       if ( tolIRMax > 0 )  { tolIRMax2 = tolIRMax*tolIRMax; }     
735       else                 { tolIRMax2 = 0.0;     749       else                 { tolIRMax2 = 0.0; }
736                                                   750       
737       if ( (tolIRMin2 <= rhoi2) && (rhoi2 <= t    751       if ( (tolIRMin2 <= rhoi2) && (rhoi2 <= tolIRMax2) )
738       {                                           752       {
739         if ( !fPhiFullCone && (rhoi2 != 0.0) ) << 753         if ( !fPhiFullCone && rhoi2 )
740         {                                         754         {
741           // Psi = angle made with central (av    755           // Psi = angle made with central (average) phi of shape
742                                                   756 
743           cosPsi = (xi*cosCPhi + yi*sinCPhi)/s    757           cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ;
744                                                   758 
745           if (cosPsi >= cosHDPhiIT)  { return     759           if (cosPsi >= cosHDPhiIT)  { return sd; }
746         }                                         760         }
747         else                                      761         else
748         {                                         762         {
749           return sd;                              763           return sd;
750         }                                         764         }
751       }                                           765       }
752     }                                             766     }
753     else  // On/outside extent, and heading aw    767     else  // On/outside extent, and heading away  -> cannot intersect
754     {                                             768     {
755       return snxt ;                               769       return snxt ;  
756     }                                             770     }
757   }                                               771   }
758                                                   772     
759 // ----> Can not intersect z surfaces             773 // ----> Can not intersect z surfaces
760                                                   774 
761                                                   775 
762 // Intersection with outer cone (possible retu    776 // Intersection with outer cone (possible return) and
763 //                   inner cone (must also che    777 //                   inner cone (must also check phi)
764 //                                                778 //
765 // Intersection point (xi,yi,zi) on line x=p.x    779 // Intersection point (xi,yi,zi) on line x=p.x+t*v.x etc.
766 //                                                780 //
767 // Intersects with x^2+y^2=(a*z+b)^2              781 // Intersects with x^2+y^2=(a*z+b)^2
768 //                                                782 //
769 // where a=tanRMax or tanRMin                     783 // where a=tanRMax or tanRMin
770 //       b=rMaxAv  or rMinAv                      784 //       b=rMaxAv  or rMinAv
771 //                                                785 //
772 // (vx^2+vy^2-(a*vz)^2)t^2+2t(pxvx+pyvy-a*vz(a    786 // (vx^2+vy^2-(a*vz)^2)t^2+2t(pxvx+pyvy-a*vz(a*pz+b))+px^2+py^2-(a*pz+b)^2=0 ;
773 //     t1                        t2               787 //     t1                        t2                      t3  
774 //                                                788 //
775 //  \--------u-------/       \-----------v----    789 //  \--------u-------/       \-----------v----------/ \---------w--------/
776 //                                                790 //
777                                                   791 
778   t1   = 1.0 - v.z()*v.z() ;                      792   t1   = 1.0 - v.z()*v.z() ;
779   t2   = p.x()*v.x() + p.y()*v.y() ;              793   t2   = p.x()*v.x() + p.y()*v.y() ;
780   t3   = p.x()*p.x() + p.y()*p.y() ;              794   t3   = p.x()*p.x() + p.y()*p.y() ;
781   rin  = tanRMin*p.z() + rMinAv ;                 795   rin  = tanRMin*p.z() + rMinAv ;
782   rout = tanRMax*p.z() + rMaxAv ;                 796   rout = tanRMax*p.z() + rMaxAv ;
783                                                   797 
784   // Outer Cone Intersection                      798   // Outer Cone Intersection
785   // Must be outside/on outer cone for valid i    799   // Must be outside/on outer cone for valid intersection
786                                                   800 
787   nt1 = t1 - (tanRMax*v.z())*(tanRMax*v.z()) ;    801   nt1 = t1 - (tanRMax*v.z())*(tanRMax*v.z()) ;
788   nt2 = t2 - tanRMax*v.z()*rout ;                 802   nt2 = t2 - tanRMax*v.z()*rout ;
789   nt3 = t3 - rout*rout ;                          803   nt3 = t3 - rout*rout ;
790                                                   804 
791   if (std::fabs(nt1) > kRadTolerance)  // Equa    805   if (std::fabs(nt1) > kRadTolerance)  // Equation quadratic => 2 roots
792   {                                               806   {
793     b = nt2/nt1;                                  807     b = nt2/nt1;
794     c = nt3/nt1;                                  808     c = nt3/nt1;
795     d = b*b-c  ;                                  809     d = b*b-c  ;
796     if ( (nt3 > rout*rout*kRadTolerance*kRadTo    810     if ( (nt3 > rout*rout*kRadTolerance*kRadTolerance*secRMax*secRMax)
797       || (rout < 0) )                             811       || (rout < 0) )
798     {                                             812     {
799       // If outside real cone (should be rho-r    813       // If outside real cone (should be rho-rout>kRadTolerance*0.5
800       // NOT rho^2 etc) saves a std::sqrt() at    814       // NOT rho^2 etc) saves a std::sqrt() at expense of accuracy
801                                                   815 
802       if (d >= 0)                                 816       if (d >= 0)
803       {                                           817       {
804                                                   818           
805         if ((rout < 0) && (nt3 <= 0))             819         if ((rout < 0) && (nt3 <= 0))
806         {                                         820         {
807           // Inside `shadow cone' with -ve rad    821           // Inside `shadow cone' with -ve radius
808           // -> 2nd root could be on real cone    822           // -> 2nd root could be on real cone
809                                                   823 
810           if (b>0) { sd = c/(-b-std::sqrt(d));    824           if (b>0) { sd = c/(-b-std::sqrt(d)); }
811           else     { sd = -b + std::sqrt(d);      825           else     { sd = -b + std::sqrt(d);   }
812         }                                         826         }
813         else                                      827         else
814         {                                         828         {
815           if ((b <= 0) && (c >= 0)) // both >=    829           if ((b <= 0) && (c >= 0)) // both >=0, try smaller root
816           {                                       830           {
817             sd=c/(-b+std::sqrt(d));               831             sd=c/(-b+std::sqrt(d));
818           }                                       832           }
819           else                                    833           else
820           {                                       834           {
821             if ( c <= 0 ) // second >=0           835             if ( c <= 0 ) // second >=0
822             {                                     836             {
823               sd = -b + std::sqrt(d) ;            837               sd = -b + std::sqrt(d) ;
824               if((sd<0.0) && (sd>-halfRadToler << 838               if((sd<0) & (sd>-halfRadTolerance)) sd=0;
825             }                                     839             }
826             else  // both negative, travel awa    840             else  // both negative, travel away
827             {                                     841             {
828               return kInfinity ;                  842               return kInfinity ;
829             }                                     843             }
830           }                                       844           }
831         }                                         845         }
832         if ( sd >= 0 )  // If 'forwards'. Chec    846         if ( sd >= 0 )  // If 'forwards'. Check z intersection
833         {                                         847         {
834           if ( sd>dRmax ) // Avoid rounding er    848           if ( sd>dRmax ) // Avoid rounding errors due to precision issues on
835           {               // 64 bits systems.     849           {               // 64 bits systems. Split long distances and recompute
836             G4double fTerm = sd-std::fmod(sd,d    850             G4double fTerm = sd-std::fmod(sd,dRmax);
837             sd = fTerm + DistanceToIn(p+fTerm*    851             sd = fTerm + DistanceToIn(p+fTerm*v,v);
838           }                                       852           } 
839           zi = p.z() + sd*v.z() ;                 853           zi = p.z() + sd*v.z() ;
840                                                   854 
841           if (std::fabs(zi) <= tolODz)            855           if (std::fabs(zi) <= tolODz)
842           {                                       856           {
843             // Z ok. Check phi intersection if    857             // Z ok. Check phi intersection if reqd
844                                                   858 
845             if ( fPhiFullCone )  { return sd;     859             if ( fPhiFullCone )  { return sd; }
846             else                                  860             else
847             {                                     861             {
848               xi     = p.x() + sd*v.x() ;         862               xi     = p.x() + sd*v.x() ;
849               yi     = p.y() + sd*v.y() ;         863               yi     = p.y() + sd*v.y() ;
850               ri     = rMaxAv + zi*tanRMax ;      864               ri     = rMaxAv + zi*tanRMax ;
851               cosPsi = (xi*cosCPhi + yi*sinCPh    865               cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri ;
852                                                   866 
853               if ( cosPsi >= cosHDPhiIT )  { r    867               if ( cosPsi >= cosHDPhiIT )  { return sd; }
854             }                                     868             }
855           }                                       869           }
856         }                // end if (sd>0)         870         }                // end if (sd>0)
857       }                                           871       }
858     }                                             872     }
859     else                                          873     else
860     {                                             874     {
861       // Inside outer cone                        875       // Inside outer cone
862       // check not inside, and heading through    876       // check not inside, and heading through G4Cons (-> 0 to in)
863                                                   877 
864       if ( ( t3  > (rin + halfRadTolerance*sec    878       if ( ( t3  > (rin + halfRadTolerance*secRMin)*
865                    (rin + halfRadTolerance*sec    879                    (rin + halfRadTolerance*secRMin) )
866         && (nt2 < 0) && (d >= 0) && (std::fabs    880         && (nt2 < 0) && (d >= 0) && (std::fabs(p.z()) <= tolIDz) )
867       {                                           881       {
868         // Inside cones, delta r -ve, inside z    882         // Inside cones, delta r -ve, inside z extent
869         // Point is on the Surface => check Di    883         // Point is on the Surface => check Direction using  Normal.dot(v)
870                                                   884 
871         xi     = p.x() ;                          885         xi     = p.x() ;
872         yi     = p.y()  ;                         886         yi     = p.y()  ;
873         risec  = std::sqrt(xi*xi + yi*yi)*secR    887         risec  = std::sqrt(xi*xi + yi*yi)*secRMax ;
874         Normal = G4ThreeVector(xi/risec,yi/ris    888         Normal = G4ThreeVector(xi/risec,yi/risec,-tanRMax/secRMax) ;
875         if ( !fPhiFullCone )                      889         if ( !fPhiFullCone )
876         {                                         890         {
877           cosPsi = (p.x()*cosCPhi + p.y()*sinC    891           cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(t3) ;
878           if ( cosPsi >= cosHDPhiIT )             892           if ( cosPsi >= cosHDPhiIT )
879           {                                       893           {
880             if ( Normal.dot(v) <= 0 )  { retur    894             if ( Normal.dot(v) <= 0 )  { return 0.0; }
881           }                                       895           }
882         }                                         896         }
883         else                                      897         else
884         {                                         898         {             
885           if ( Normal.dot(v) <= 0 )  { return     899           if ( Normal.dot(v) <= 0 )  { return 0.0; }
886         }                                         900         }
887       }                                           901       }
888     }                                             902     }
889   }                                               903   }
890   else  //  Single root case                      904   else  //  Single root case 
891   {                                               905   {
892     if ( std::fabs(nt2) > kRadTolerance )         906     if ( std::fabs(nt2) > kRadTolerance )
893     {                                             907     {
894       sd = -0.5*nt3/nt2 ;                         908       sd = -0.5*nt3/nt2 ;
895                                                   909 
896       if ( sd < 0 )  { return kInfinity; }   /    910       if ( sd < 0 )  { return kInfinity; }   // travel away
897       else  // sd >= 0,  If 'forwards'. Check     911       else  // sd >= 0,  If 'forwards'. Check z intersection
898       {                                           912       {
899         zi = p.z() + sd*v.z() ;                   913         zi = p.z() + sd*v.z() ;
900                                                   914 
901         if ((std::fabs(zi) <= tolODz) && (nt2     915         if ((std::fabs(zi) <= tolODz) && (nt2 < 0))
902         {                                         916         {
903           // Z ok. Check phi intersection if r    917           // Z ok. Check phi intersection if reqd
904                                                   918 
905           if ( fPhiFullCone )  { return sd; }     919           if ( fPhiFullCone )  { return sd; }
906           else                                    920           else
907           {                                       921           {
908             xi     = p.x() + sd*v.x() ;           922             xi     = p.x() + sd*v.x() ;
909             yi     = p.y() + sd*v.y() ;           923             yi     = p.y() + sd*v.y() ;
910             ri     = rMaxAv + zi*tanRMax ;        924             ri     = rMaxAv + zi*tanRMax ;
911             cosPsi = (xi*cosCPhi + yi*sinCPhi)    925             cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri ;
912                                                   926 
913             if (cosPsi >= cosHDPhiIT)  { retur    927             if (cosPsi >= cosHDPhiIT)  { return sd; }
914           }                                       928           }
915         }                                         929         }
916       }                                           930       }
917     }                                             931     }
918     else  //    travel || cone surface from it    932     else  //    travel || cone surface from its origin
919     {                                             933     {
920       sd = kInfinity ;                            934       sd = kInfinity ;
921     }                                             935     }
922   }                                               936   }
923                                                   937 
924   // Inner Cone Intersection                      938   // Inner Cone Intersection
925   // o Space is divided into 3 areas:             939   // o Space is divided into 3 areas:
926   //   1) Radius greater than real inner cone     940   //   1) Radius greater than real inner cone & imaginary cone & outside
927   //      tolerance                               941   //      tolerance
928   //   2) Radius less than inner or imaginary     942   //   2) Radius less than inner or imaginary cone & outside tolarance
929   //   3) Within tolerance of real or imaginar    943   //   3) Within tolerance of real or imaginary cones
930   //      - Extra checks needed for 3's inters    944   //      - Extra checks needed for 3's intersections
931   //        => lots of duplicated code            945   //        => lots of duplicated code
932                                                   946 
933   if (rMinAv != 0.0)                           << 947   if (rMinAv)
934   {                                               948   { 
935     nt1 = t1 - (tanRMin*v.z())*(tanRMin*v.z())    949     nt1 = t1 - (tanRMin*v.z())*(tanRMin*v.z()) ;
936     nt2 = t2 - tanRMin*v.z()*rin ;                950     nt2 = t2 - tanRMin*v.z()*rin ;
937     nt3 = t3 - rin*rin ;                          951     nt3 = t3 - rin*rin ;
938                                                   952  
939     if ( nt1 != 0.0 )                          << 953     if ( nt1 )
940     {                                             954     {
941       if ( nt3 > rin*kRadTolerance*secRMin )      955       if ( nt3 > rin*kRadTolerance*secRMin )
942       {                                           956       {
943         // At radius greater than real & imagi    957         // At radius greater than real & imaginary cones
944         // -> 2nd root, with zi check             958         // -> 2nd root, with zi check
945                                                   959 
946         b = nt2/nt1 ;                             960         b = nt2/nt1 ;
947         c = nt3/nt1 ;                             961         c = nt3/nt1 ;
948         d = b*b-c ;                               962         d = b*b-c ;
949         if (d >= 0)   // > 0                      963         if (d >= 0)   // > 0
950         {                                         964         {
951            if(b>0){sd = c/( -b-std::sqrt(d));}    965            if(b>0){sd = c/( -b-std::sqrt(d));}
952            else   {sd = -b + std::sqrt(d) ;}      966            else   {sd = -b + std::sqrt(d) ;}
953                                                   967 
954           if ( sd >= 0 )   // > 0                 968           if ( sd >= 0 )   // > 0
955           {                                       969           {
956             if ( sd>dRmax ) // Avoid rounding     970             if ( sd>dRmax ) // Avoid rounding errors due to precision issues on
957             {               // 64 bits systems    971             {               // 64 bits systems. Split long distance and recompute
958               G4double fTerm = sd-std::fmod(sd    972               G4double fTerm = sd-std::fmod(sd,dRmax);
959               sd = fTerm + DistanceToIn(p+fTer    973               sd = fTerm + DistanceToIn(p+fTerm*v,v);
960             }                                     974             } 
961             zi = p.z() + sd*v.z() ;               975             zi = p.z() + sd*v.z() ;
962                                                   976 
963             if ( std::fabs(zi) <= tolODz )        977             if ( std::fabs(zi) <= tolODz )
964             {                                     978             {
965               if ( !fPhiFullCone )                979               if ( !fPhiFullCone )
966               {                                   980               {
967                 xi     = p.x() + sd*v.x() ;       981                 xi     = p.x() + sd*v.x() ;
968                 yi     = p.y() + sd*v.y() ;       982                 yi     = p.y() + sd*v.y() ;
969                 ri     = rMinAv + zi*tanRMin ;    983                 ri     = rMinAv + zi*tanRMin ;
970                 cosPsi = (xi*cosCPhi + yi*sinC    984                 cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri ;
971                                                   985 
972                 if (cosPsi >= cosHDPhiIT)         986                 if (cosPsi >= cosHDPhiIT)
973                 {                                 987                 { 
974                   if ( sd > halfRadTolerance )    988                   if ( sd > halfRadTolerance )  { snxt=sd; }
975                   else                            989                   else
976                   {                               990                   {
977                     // Calculate a normal vect    991                     // Calculate a normal vector in order to check Direction
978                                                   992 
979                     risec  = std::sqrt(xi*xi +    993                     risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
980                     Normal = G4ThreeVector(-xi    994                     Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin);
981                     if ( Normal.dot(v) <= 0 )     995                     if ( Normal.dot(v) <= 0 )  { snxt = sd; }
982                   }                               996                   } 
983                 }                                 997                 }
984               }                                   998               }
985               else                                999               else
986               {                                   1000               {
987                 if ( sd > halfRadTolerance )      1001                 if ( sd > halfRadTolerance )  { return sd; }
988                 else                              1002                 else
989                 {                                 1003                 {
990                   // Calculate a normal vector    1004                   // Calculate a normal vector in order to check Direction
991                                                   1005 
992                   xi     = p.x() + sd*v.x() ;     1006                   xi     = p.x() + sd*v.x() ;
993                   yi     = p.y() + sd*v.y() ;     1007                   yi     = p.y() + sd*v.y() ;
994                   risec  = std::sqrt(xi*xi + y    1008                   risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
995                   Normal = G4ThreeVector(-xi/r    1009                   Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin) ;
996                   if ( Normal.dot(v) <= 0 )  {    1010                   if ( Normal.dot(v) <= 0 )  { return sd; }
997                 }                                 1011                 }
998               }                                   1012               }
999             }                                     1013             }
1000           }                                      1014           }
1001         }                                        1015         }
1002       }                                          1016       }
1003       else  if ( nt3 < -rin*kRadTolerance*sec    1017       else  if ( nt3 < -rin*kRadTolerance*secRMin )
1004       {                                          1018       {
1005         // Within radius of inner cone (real     1019         // Within radius of inner cone (real or imaginary)
1006         // -> Try 2nd root, with checking int    1020         // -> Try 2nd root, with checking intersection is with real cone
1007         // -> If check fails, try 1st root, a    1021         // -> If check fails, try 1st root, also checking intersection is
1008         //    on real cone                       1022         //    on real cone
1009                                                  1023 
1010         b = nt2/nt1 ;                            1024         b = nt2/nt1 ;
1011         c = nt3/nt1 ;                            1025         c = nt3/nt1 ;
1012         d = b*b - c ;                            1026         d = b*b - c ;
1013                                                  1027 
1014         if ( d >= 0 )  // > 0                    1028         if ( d >= 0 )  // > 0
1015         {                                        1029         {
1016           if (b>0) { sd = c/(-b-std::sqrt(d))    1030           if (b>0) { sd = c/(-b-std::sqrt(d)); }
1017           else     { sd = -b + std::sqrt(d);     1031           else     { sd = -b + std::sqrt(d);   }
1018           zi = p.z() + sd*v.z() ;                1032           zi = p.z() + sd*v.z() ;
1019           ri = rMinAv + zi*tanRMin ;             1033           ri = rMinAv + zi*tanRMin ;
1020                                                  1034 
1021           if ( ri > 0 )                          1035           if ( ri > 0 )
1022           {                                      1036           {
1023             if ( (sd >= 0) && (std::fabs(zi)     1037             if ( (sd >= 0) && (std::fabs(zi) <= tolODz) )  // sd > 0
1024             {                                    1038             {
1025               if ( sd>dRmax ) // Avoid roundi    1039               if ( sd>dRmax ) // Avoid rounding errors due to precision issues
1026               {               // seen on 64 b    1040               {               // seen on 64 bits systems. Split and recompute
1027                 G4double fTerm = sd-std::fmod    1041                 G4double fTerm = sd-std::fmod(sd,dRmax);
1028                 sd = fTerm + DistanceToIn(p+f    1042                 sd = fTerm + DistanceToIn(p+fTerm*v,v);
1029               }                                  1043               } 
1030               if ( !fPhiFullCone )               1044               if ( !fPhiFullCone )
1031               {                                  1045               {
1032                 xi     = p.x() + sd*v.x() ;      1046                 xi     = p.x() + sd*v.x() ;
1033                 yi     = p.y() + sd*v.y() ;      1047                 yi     = p.y() + sd*v.y() ;
1034                 cosPsi = (xi*cosCPhi + yi*sin    1048                 cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri ;
1035                                                  1049 
1036                 if (cosPsi >= cosHDPhiOT)        1050                 if (cosPsi >= cosHDPhiOT)
1037                 {                                1051                 {
1038                   if ( sd > halfRadTolerance     1052                   if ( sd > halfRadTolerance )  { snxt=sd; }
1039                   else                           1053                   else
1040                   {                              1054                   {
1041                     // Calculate a normal vec    1055                     // Calculate a normal vector in order to check Direction
1042                                                  1056 
1043                     risec  = std::sqrt(xi*xi     1057                     risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
1044                     Normal = G4ThreeVector(-x    1058                     Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin);
1045                     if ( Normal.dot(v) <= 0 )    1059                     if ( Normal.dot(v) <= 0 )  { snxt = sd; } 
1046                   }                              1060                   }
1047                 }                                1061                 }
1048               }                                  1062               }
1049               else                               1063               else
1050               {                                  1064               {
1051                 if( sd > halfRadTolerance )      1065                 if( sd > halfRadTolerance )  { return sd; }
1052                 else                             1066                 else
1053                 {                                1067                 {
1054                   // Calculate a normal vecto    1068                   // Calculate a normal vector in order to check Direction
1055                                                  1069 
1056                   xi     = p.x() + sd*v.x() ;    1070                   xi     = p.x() + sd*v.x() ;
1057                   yi     = p.y() + sd*v.y() ;    1071                   yi     = p.y() + sd*v.y() ;
1058                   risec  = std::sqrt(xi*xi +     1072                   risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
1059                   Normal = G4ThreeVector(-xi/    1073                   Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin) ;
1060                   if ( Normal.dot(v) <= 0 )      1074                   if ( Normal.dot(v) <= 0 )  { return sd; }
1061                 }                                1075                 } 
1062               }                                  1076               }
1063             }                                    1077             }
1064           }                                      1078           }
1065           else                                   1079           else
1066           {                                      1080           {
1067             if (b>0) { sd = -b - std::sqrt(d)    1081             if (b>0) { sd = -b - std::sqrt(d);   }
1068             else     { sd = c/(-b+std::sqrt(d    1082             else     { sd = c/(-b+std::sqrt(d)); }
1069             zi = p.z() + sd*v.z() ;              1083             zi = p.z() + sd*v.z() ;
1070             ri = rMinAv + zi*tanRMin ;           1084             ri = rMinAv + zi*tanRMin ;
1071                                                  1085 
1072             if ( (sd >= 0) && (ri > 0) && (st    1086             if ( (sd >= 0) && (ri > 0) && (std::fabs(zi) <= tolODz) ) // sd>0
1073             {                                    1087             {
1074               if ( sd>dRmax ) // Avoid roundi    1088               if ( sd>dRmax ) // Avoid rounding errors due to precision issues
1075               {               // seen on 64 b    1089               {               // seen on 64 bits systems. Split and recompute
1076                 G4double fTerm = sd-std::fmod    1090                 G4double fTerm = sd-std::fmod(sd,dRmax);
1077                 sd = fTerm + DistanceToIn(p+f    1091                 sd = fTerm + DistanceToIn(p+fTerm*v,v);
1078               }                                  1092               } 
1079               if ( !fPhiFullCone )               1093               if ( !fPhiFullCone )
1080               {                                  1094               {
1081                 xi     = p.x() + sd*v.x() ;      1095                 xi     = p.x() + sd*v.x() ;
1082                 yi     = p.y() + sd*v.y() ;      1096                 yi     = p.y() + sd*v.y() ;
1083                 cosPsi = (xi*cosCPhi + yi*sin    1097                 cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri ;
1084                                                  1098 
1085                 if (cosPsi >= cosHDPhiIT)        1099                 if (cosPsi >= cosHDPhiIT)
1086                 {                                1100                 {
1087                   if ( sd > halfRadTolerance     1101                   if ( sd > halfRadTolerance )  { snxt=sd; }
1088                   else                           1102                   else
1089                   {                              1103                   {
1090                     // Calculate a normal vec    1104                     // Calculate a normal vector in order to check Direction
1091                                                  1105 
1092                     risec  = std::sqrt(xi*xi     1106                     risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
1093                     Normal = G4ThreeVector(-x    1107                     Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin);
1094                     if ( Normal.dot(v) <= 0 )    1108                     if ( Normal.dot(v) <= 0 )  { snxt = sd; } 
1095                   }                              1109                   }
1096                 }                                1110                 }
1097               }                                  1111               }
1098               else                               1112               else
1099               {                                  1113               {
1100                 if ( sd > halfRadTolerance )     1114                 if ( sd > halfRadTolerance )  { return sd; }
1101                 else                             1115                 else
1102                 {                                1116                 {
1103                   // Calculate a normal vecto    1117                   // Calculate a normal vector in order to check Direction
1104                                                  1118 
1105                   xi     = p.x() + sd*v.x() ;    1119                   xi     = p.x() + sd*v.x() ;
1106                   yi     = p.y() + sd*v.y() ;    1120                   yi     = p.y() + sd*v.y() ;
1107                   risec  = std::sqrt(xi*xi +     1121                   risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
1108                   Normal = G4ThreeVector(-xi/    1122                   Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin) ;
1109                   if ( Normal.dot(v) <= 0 )      1123                   if ( Normal.dot(v) <= 0 )  { return sd; }
1110                 }                                1124                 } 
1111               }                                  1125               }
1112             }                                    1126             }
1113           }                                      1127           }
1114         }                                        1128         }
1115       }                                          1129       }
1116       else                                       1130       else
1117       {                                          1131       {
1118         // Within kRadTol*0.5 of inner cone (    1132         // Within kRadTol*0.5 of inner cone (real OR imaginary)
1119         // ----> Check not travelling through    1133         // ----> Check not travelling through (=>0 to in)
1120         // ----> if not:                         1134         // ----> if not:
1121         //    -2nd root with validity check      1135         //    -2nd root with validity check
1122                                                  1136 
1123         if ( std::fabs(p.z()) <= tolODz )        1137         if ( std::fabs(p.z()) <= tolODz )
1124         {                                        1138         {
1125           if ( nt2 > 0 )                         1139           if ( nt2 > 0 )
1126           {                                      1140           {
1127             // Inside inner real cone, headin    1141             // Inside inner real cone, heading outwards, inside z range
1128                                                  1142 
1129             if ( !fPhiFullCone )                 1143             if ( !fPhiFullCone )
1130             {                                    1144             {
1131               cosPsi = (p.x()*cosCPhi + p.y()    1145               cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(t3) ;
1132                                                  1146 
1133               if (cosPsi >= cosHDPhiIT)  { re    1147               if (cosPsi >= cosHDPhiIT)  { return 0.0; }
1134             }                                    1148             }
1135             else  { return 0.0; }                1149             else  { return 0.0; }
1136           }                                      1150           }
1137           else                                   1151           else
1138           {                                      1152           {
1139             // Within z extent, but not trave    1153             // Within z extent, but not travelling through
1140             // -> 2nd root or kInfinity if 1s    1154             // -> 2nd root or kInfinity if 1st root on imaginary cone
1141                                                  1155 
1142             b = nt2/nt1 ;                        1156             b = nt2/nt1 ;
1143             c = nt3/nt1 ;                        1157             c = nt3/nt1 ;
1144             d = b*b - c ;                        1158             d = b*b - c ;
1145                                                  1159 
1146             if ( d >= 0 )   // > 0               1160             if ( d >= 0 )   // > 0
1147             {                                    1161             {
1148               if (b>0) { sd = -b - std::sqrt(    1162               if (b>0) { sd = -b - std::sqrt(d);   }
1149               else     { sd = c/(-b+std::sqrt    1163               else     { sd = c/(-b+std::sqrt(d)); }
1150               zi = p.z() + sd*v.z() ;            1164               zi = p.z() + sd*v.z() ;
1151               ri = rMinAv + zi*tanRMin ;         1165               ri = rMinAv + zi*tanRMin ;
1152                                                  1166               
1153               if ( ri > 0 )   // 2nd root        1167               if ( ri > 0 )   // 2nd root
1154               {                                  1168               {
1155                 if (b>0) { sd = c/(-b-std::sq    1169                 if (b>0) { sd = c/(-b-std::sqrt(d)); }
1156                 else     { sd = -b + std::sqr    1170                 else     { sd = -b + std::sqrt(d);   }
1157                                                  1171                 
1158                 zi = p.z() + sd*v.z() ;          1172                 zi = p.z() + sd*v.z() ;
1159                                                  1173 
1160                 if ( (sd >= 0) && (std::fabs(    1174                 if ( (sd >= 0) && (std::fabs(zi) <= tolODz) )  // sd>0
1161                 {                                1175                 {
1162                   if ( sd>dRmax ) // Avoid ro    1176                   if ( sd>dRmax ) // Avoid rounding errors due to precision issue
1163                   {               // seen on     1177                   {               // seen on 64 bits systems. Split and recompute
1164                     G4double fTerm = sd-std::    1178                     G4double fTerm = sd-std::fmod(sd,dRmax);
1165                     sd = fTerm + DistanceToIn    1179                     sd = fTerm + DistanceToIn(p+fTerm*v,v);
1166                   }                              1180                   } 
1167                   if ( !fPhiFullCone )           1181                   if ( !fPhiFullCone )
1168                   {                              1182                   {
1169                     xi     = p.x() + sd*v.x()    1183                     xi     = p.x() + sd*v.x() ;
1170                     yi     = p.y() + sd*v.y()    1184                     yi     = p.y() + sd*v.y() ;
1171                     ri     = rMinAv + zi*tanR    1185                     ri     = rMinAv + zi*tanRMin ;
1172                     cosPsi = (xi*cosCPhi + yi    1186                     cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri ;
1173                                                  1187 
1174                     if ( cosPsi >= cosHDPhiIT    1188                     if ( cosPsi >= cosHDPhiIT )  { snxt = sd; }
1175                   }                              1189                   }
1176                   else  { return sd; }           1190                   else  { return sd; }
1177                 }                                1191                 }
1178               }                                  1192               }
1179               else  { return kInfinity; }        1193               else  { return kInfinity; }
1180             }                                    1194             }
1181           }                                      1195           }
1182         }                                        1196         }
1183         else   // 2nd root                       1197         else   // 2nd root
1184         {                                        1198         {
1185           b = nt2/nt1 ;                          1199           b = nt2/nt1 ;
1186           c = nt3/nt1 ;                          1200           c = nt3/nt1 ;
1187           d = b*b - c ;                          1201           d = b*b - c ;
1188                                                  1202 
1189           if ( d > 0 )                           1203           if ( d > 0 )
1190           {                                      1204           {  
1191             if (b>0) { sd = c/(-b-std::sqrt(d    1205             if (b>0) { sd = c/(-b-std::sqrt(d)); }
1192             else     { sd = -b + std::sqrt(d)    1206             else     { sd = -b + std::sqrt(d) ;  }
1193             zi = p.z() + sd*v.z() ;              1207             zi = p.z() + sd*v.z() ;
1194                                                  1208 
1195             if ( (sd >= 0) && (std::fabs(zi)     1209             if ( (sd >= 0) && (std::fabs(zi) <= tolODz) )  // sd>0
1196             {                                    1210             {
1197               if ( sd>dRmax ) // Avoid roundi    1211               if ( sd>dRmax ) // Avoid rounding errors due to precision issues
1198               {               // seen on 64 b    1212               {               // seen on 64 bits systems. Split and recompute
1199                 G4double fTerm = sd-std::fmod    1213                 G4double fTerm = sd-std::fmod(sd,dRmax);
1200                 sd = fTerm + DistanceToIn(p+f    1214                 sd = fTerm + DistanceToIn(p+fTerm*v,v);
1201               }                                  1215               } 
1202               if ( !fPhiFullCone )               1216               if ( !fPhiFullCone )
1203               {                                  1217               {
1204                 xi     = p.x() + sd*v.x();       1218                 xi     = p.x() + sd*v.x();
1205                 yi     = p.y() + sd*v.y();       1219                 yi     = p.y() + sd*v.y();
1206                 ri     = rMinAv + zi*tanRMin     1220                 ri     = rMinAv + zi*tanRMin ;
1207                 cosPsi = (xi*cosCPhi + yi*sin    1221                 cosPsi = (xi*cosCPhi + yi*sinCPhi)/ri;
1208                                                  1222 
1209                 if (cosPsi >= cosHDPhiIT)  {     1223                 if (cosPsi >= cosHDPhiIT)  { snxt = sd; }
1210               }                                  1224               }
1211               else  { return sd; }               1225               else  { return sd; }
1212             }                                    1226             }
1213           }                                      1227           }
1214         }                                        1228         }
1215       }                                          1229       }
1216     }                                            1230     }
1217   }                                              1231   }
1218                                                  1232 
1219   // Phi segment intersection                    1233   // Phi segment intersection
1220   //                                             1234   //
1221   // o Tolerant of points inside phi planes b    1235   // o Tolerant of points inside phi planes by up to kCarTolerance*0.5
1222   //                                             1236   //
1223   // o NOTE: Large duplication of code betwee    1237   // o NOTE: Large duplication of code between sphi & ephi checks
1224   //         -> only diffs: sphi -> ephi, Com    1238   //         -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane
1225   //            intersection check <=0 -> >=0    1239   //            intersection check <=0 -> >=0
1226   //         -> Should use some form of loop     1240   //         -> Should use some form of loop Construct
1227                                                  1241 
1228   if ( !fPhiFullCone )                           1242   if ( !fPhiFullCone )
1229   {                                              1243   {
1230     // First phi surface (starting phi)          1244     // First phi surface (starting phi)
1231                                                  1245 
1232     Comp    = v.x()*sinSPhi - v.y()*cosSPhi ;    1246     Comp    = v.x()*sinSPhi - v.y()*cosSPhi ;
1233                                                  1247                     
1234     if ( Comp < 0 )    // Component in outwar    1248     if ( Comp < 0 )    // Component in outwards normal dirn
1235     {                                            1249     {
1236       Dist = (p.y()*cosSPhi - p.x()*sinSPhi)     1250       Dist = (p.y()*cosSPhi - p.x()*sinSPhi) ;
1237                                                  1251 
1238       if (Dist < halfCarTolerance)               1252       if (Dist < halfCarTolerance)
1239       {                                          1253       {
1240         sd = Dist/Comp ;                         1254         sd = Dist/Comp ;
1241                                                  1255 
1242         if ( sd < snxt )                         1256         if ( sd < snxt )
1243         {                                        1257         {
1244           if ( sd < 0 )  { sd = 0.0; }           1258           if ( sd < 0 )  { sd = 0.0; }
1245                                                  1259 
1246           zi = p.z() + sd*v.z() ;                1260           zi = p.z() + sd*v.z() ;
1247                                                  1261 
1248           if ( std::fabs(zi) <= tolODz )         1262           if ( std::fabs(zi) <= tolODz )
1249           {                                      1263           {
1250             xi        = p.x() + sd*v.x() ;       1264             xi        = p.x() + sd*v.x() ;
1251             yi        = p.y() + sd*v.y() ;       1265             yi        = p.y() + sd*v.y() ;
1252             rhoi2     = xi*xi + yi*yi ;          1266             rhoi2     = xi*xi + yi*yi ;
1253             tolORMin2 = (rMinOAv + zi*tanRMin    1267             tolORMin2 = (rMinOAv + zi*tanRMin)*(rMinOAv + zi*tanRMin) ;
1254             tolORMax2 = (rMaxOAv + zi*tanRMax    1268             tolORMax2 = (rMaxOAv + zi*tanRMax)*(rMaxOAv + zi*tanRMax) ;
1255                                                  1269 
1256             if ( (rhoi2 >= tolORMin2) && (rho    1270             if ( (rhoi2 >= tolORMin2) && (rhoi2 <= tolORMax2) )
1257             {                                    1271             {
1258               // z and r intersections good -    1272               // z and r intersections good - check intersecting with
1259               // correct half-plane              1273               // correct half-plane
1260                                                  1274 
1261               if ((yi*cosCPhi - xi*sinCPhi) <    1275               if ((yi*cosCPhi - xi*sinCPhi) <= 0 )  { snxt = sd; }
1262             }                                    1276             }
1263           }                                      1277           }
1264         }                                        1278         }
1265       }                                          1279       }
1266     }                                            1280     }
1267                                                  1281 
1268     // Second phi surface (Ending phi)           1282     // Second phi surface (Ending phi)
1269                                                  1283 
1270     Comp    = -(v.x()*sinEPhi - v.y()*cosEPhi    1284     Comp    = -(v.x()*sinEPhi - v.y()*cosEPhi) ;
1271                                                  1285         
1272     if ( Comp < 0 )   // Component in outward    1286     if ( Comp < 0 )   // Component in outwards normal dirn
1273     {                                            1287     {
1274       Dist = -(p.y()*cosEPhi - p.x()*sinEPhi)    1288       Dist = -(p.y()*cosEPhi - p.x()*sinEPhi) ;
1275       if (Dist < halfCarTolerance)               1289       if (Dist < halfCarTolerance)
1276       {                                          1290       {
1277         sd = Dist/Comp ;                         1291         sd = Dist/Comp ;
1278                                                  1292 
1279         if ( sd < snxt )                         1293         if ( sd < snxt )
1280         {                                        1294         {
1281           if ( sd < 0 )  { sd = 0.0; }           1295           if ( sd < 0 )  { sd = 0.0; }
1282                                                  1296 
1283           zi = p.z() + sd*v.z() ;                1297           zi = p.z() + sd*v.z() ;
1284                                                  1298 
1285           if (std::fabs(zi) <= tolODz)           1299           if (std::fabs(zi) <= tolODz)
1286           {                                      1300           {
1287             xi        = p.x() + sd*v.x() ;       1301             xi        = p.x() + sd*v.x() ;
1288             yi        = p.y() + sd*v.y() ;       1302             yi        = p.y() + sd*v.y() ;
1289             rhoi2     = xi*xi + yi*yi ;          1303             rhoi2     = xi*xi + yi*yi ;
1290             tolORMin2 = (rMinOAv + zi*tanRMin    1304             tolORMin2 = (rMinOAv + zi*tanRMin)*(rMinOAv + zi*tanRMin) ;
1291             tolORMax2 = (rMaxOAv + zi*tanRMax    1305             tolORMax2 = (rMaxOAv + zi*tanRMax)*(rMaxOAv + zi*tanRMax) ;
1292                                                  1306 
1293             if ( (rhoi2 >= tolORMin2) && (rho    1307             if ( (rhoi2 >= tolORMin2) && (rhoi2 <= tolORMax2) )
1294             {                                    1308             {
1295               // z and r intersections good -    1309               // z and r intersections good - check intersecting with
1296               // correct half-plane              1310               // correct half-plane
1297                                                  1311 
1298               if ( (yi*cosCPhi - xi*sinCPhi)     1312               if ( (yi*cosCPhi - xi*sinCPhi) >= 0.0 )  { snxt = sd; }
1299             }                                    1313             }
1300           }                                      1314           }
1301         }                                        1315         }
1302       }                                          1316       }
1303     }                                            1317     }
1304   }                                              1318   }
1305   if (snxt < halfCarTolerance)  { snxt = 0.;     1319   if (snxt < halfCarTolerance)  { snxt = 0.; }
1306                                                  1320 
1307   return snxt ;                                  1321   return snxt ;
1308 }                                                1322 }
1309                                                  1323 
1310 /////////////////////////////////////////////    1324 //////////////////////////////////////////////////////////////////////////////
1311 //                                               1325 // 
1312 // Calculate distance (<= actual) to closest     1326 // Calculate distance (<= actual) to closest surface of shape from outside
1313 // - Calculate distance to z, radial planes      1327 // - Calculate distance to z, radial planes
1314 // - Only to phi planes if outside phi extent    1328 // - Only to phi planes if outside phi extent
1315 // - Return 0 if point inside                    1329 // - Return 0 if point inside
1316                                                  1330 
1317 G4double G4Cons::DistanceToIn(const G4ThreeVe    1331 G4double G4Cons::DistanceToIn(const G4ThreeVector& p) const
1318 {                                                1332 {
1319   G4double safe=0.0, rho, safeR1, safeR2, saf    1333   G4double safe=0.0, rho, safeR1, safeR2, safeZ, safePhi, cosPsi ;
1320   G4double tanRMin, secRMin, pRMin ;             1334   G4double tanRMin, secRMin, pRMin ;
1321   G4double tanRMax, secRMax, pRMax ;             1335   G4double tanRMax, secRMax, pRMax ;
1322                                                  1336 
1323   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y()    1337   rho   = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
1324   safeZ = std::fabs(p.z()) - fDz ;               1338   safeZ = std::fabs(p.z()) - fDz ;
1325                                                  1339 
1326   if ( (fRmin1 != 0.0) || (fRmin2 != 0.0) )   << 1340   if ( fRmin1 || fRmin2 )
1327   {                                              1341   {
1328     tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;        1342     tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;
1329     secRMin = std::sqrt(1.0 + tanRMin*tanRMin    1343     secRMin = std::sqrt(1.0 + tanRMin*tanRMin) ;
1330     pRMin   = tanRMin*p.z() + (fRmin1 + fRmin    1344     pRMin   = tanRMin*p.z() + (fRmin1 + fRmin2)*0.5 ;
1331     safeR1  = (pRMin - rho)/secRMin ;            1345     safeR1  = (pRMin - rho)/secRMin ;
1332                                                  1346 
1333     tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;        1347     tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;
1334     secRMax = std::sqrt(1.0 + tanRMax*tanRMax    1348     secRMax = std::sqrt(1.0 + tanRMax*tanRMax) ;
1335     pRMax   = tanRMax*p.z() + (fRmax1 + fRmax    1349     pRMax   = tanRMax*p.z() + (fRmax1 + fRmax2)*0.5 ;
1336     safeR2  = (rho - pRMax)/secRMax ;            1350     safeR2  = (rho - pRMax)/secRMax ;
1337                                                  1351 
1338     if ( safeR1 > safeR2) { safe = safeR1; }     1352     if ( safeR1 > safeR2) { safe = safeR1; }
1339     else                  { safe = safeR2; }     1353     else                  { safe = safeR2; }
1340   }                                              1354   }
1341   else                                           1355   else
1342   {                                              1356   {
1343     tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;        1357     tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;
1344     secRMax = std::sqrt(1.0 + tanRMax*tanRMax    1358     secRMax = std::sqrt(1.0 + tanRMax*tanRMax) ;
1345     pRMax   = tanRMax*p.z() + (fRmax1 + fRmax    1359     pRMax   = tanRMax*p.z() + (fRmax1 + fRmax2)*0.5 ;
1346     safe    = (rho - pRMax)/secRMax ;            1360     safe    = (rho - pRMax)/secRMax ;
1347   }                                              1361   }
1348   if ( safeZ > safe )  { safe = safeZ; }         1362   if ( safeZ > safe )  { safe = safeZ; }
1349                                                  1363 
1350   if ( !fPhiFullCone && (rho != 0.0) )        << 1364   if ( !fPhiFullCone && rho )
1351   {                                              1365   {
1352     // Psi=angle from central phi to point       1366     // Psi=angle from central phi to point
1353                                                  1367 
1354     cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/    1368     cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/rho ;
1355                                                  1369 
1356     if ( cosPsi < cosHDPhi ) // Point lies ou    1370     if ( cosPsi < cosHDPhi ) // Point lies outside phi range
1357     {                                            1371     {
1358       if ( (p.y()*cosCPhi - p.x()*sinCPhi) <=    1372       if ( (p.y()*cosCPhi - p.x()*sinCPhi) <= 0.0 )
1359       {                                          1373       {
1360         safePhi = std::fabs(p.x()*sinSPhi-p.y    1374         safePhi = std::fabs(p.x()*sinSPhi-p.y()*cosSPhi);
1361       }                                          1375       }
1362       else                                       1376       else
1363       {                                          1377       {
1364         safePhi = std::fabs(p.x()*sinEPhi-p.y    1378         safePhi = std::fabs(p.x()*sinEPhi-p.y()*cosEPhi);
1365       }                                          1379       }
1366       if ( safePhi > safe )  { safe = safePhi    1380       if ( safePhi > safe )  { safe = safePhi; }
1367     }                                            1381     }
1368   }                                              1382   }
1369   if ( safe < 0.0 )  { safe = 0.0; }             1383   if ( safe < 0.0 )  { safe = 0.0; }
1370                                                  1384 
1371   return safe ;                                  1385   return safe ;
1372 }                                                1386 }
1373                                                  1387 
1374 /////////////////////////////////////////////    1388 ///////////////////////////////////////////////////////////////
1375 //                                               1389 //
1376 // Calculate distance to surface of shape fro    1390 // Calculate distance to surface of shape from 'inside', allowing for tolerance
1377 // - Only Calc rmax intersection if no valid     1391 // - Only Calc rmax intersection if no valid rmin intersection
1378                                                  1392 
1379 G4double G4Cons::DistanceToOut( const G4Three    1393 G4double G4Cons::DistanceToOut( const G4ThreeVector& p,
1380                                 const G4Three    1394                                 const G4ThreeVector& v,
1381                                 const G4bool     1395                                 const G4bool calcNorm,
1382                                       G4bool*    1396                                       G4bool* validNorm,
1383                                       G4Three    1397                                       G4ThreeVector* n) const
1384 {                                                1398 {
1385   ESide side = kNull, sider = kNull, sidephi     1399   ESide side = kNull, sider = kNull, sidephi = kNull;
1386                                                  1400 
1387   G4double snxt,srd,sphi,pdist ;                 1401   G4double snxt,srd,sphi,pdist ;
1388                                                  1402 
1389   G4double tanRMax, secRMax, rMaxAv ;  // Dat    1403   G4double tanRMax, secRMax, rMaxAv ;  // Data for outer cone
1390   G4double tanRMin, secRMin, rMinAv ;  // Dat    1404   G4double tanRMin, secRMin, rMinAv ;  // Data for inner cone
1391                                                  1405 
1392   G4double t1, t2, t3, rout, rin, nt1, nt2, n    1406   G4double t1, t2, t3, rout, rin, nt1, nt2, nt3 ;
1393   G4double b, c, d, sr2, sr3 ;                   1407   G4double b, c, d, sr2, sr3 ;
1394                                                  1408 
1395   // Vars for intersection within tolerance      1409   // Vars for intersection within tolerance
1396                                                  1410 
1397   ESide sidetol = kNull ;                     << 1411   ESide    sidetol = kNull ;
1398   G4double slentol = kInfinity ;                 1412   G4double slentol = kInfinity ;
1399                                                  1413 
1400   // Vars for phi intersection:                  1414   // Vars for phi intersection:
1401                                                  1415 
1402   G4double pDistS, compS, pDistE, compE, sphi    1416   G4double pDistS, compS, pDistE, compE, sphi2, xi, yi, risec, vphi ;
1403   G4double zi, ri, deltaRoi2 ;                   1417   G4double zi, ri, deltaRoi2 ;
1404                                                  1418 
1405   // Z plane intersection                        1419   // Z plane intersection
1406                                                  1420 
1407   if ( v.z() > 0.0 )                             1421   if ( v.z() > 0.0 )
1408   {                                              1422   {
1409     pdist = fDz - p.z() ;                        1423     pdist = fDz - p.z() ;
1410                                                  1424 
1411     if (pdist > halfCarTolerance)                1425     if (pdist > halfCarTolerance)
1412     {                                            1426     {
1413       snxt = pdist/v.z() ;                       1427       snxt = pdist/v.z() ;
1414       side = kPZ ;                               1428       side = kPZ ;
1415     }                                            1429     }
1416     else                                         1430     else
1417     {                                            1431     {
1418       if (calcNorm)                              1432       if (calcNorm)
1419       {                                          1433       {
1420         *n         = G4ThreeVector(0,0,1) ;      1434         *n         = G4ThreeVector(0,0,1) ;
1421         *validNorm = true ;                      1435         *validNorm = true ;
1422       }                                          1436       }
1423       return  snxt = 0.0;                        1437       return  snxt = 0.0;
1424     }                                            1438     }
1425   }                                              1439   }
1426   else if ( v.z() < 0.0 )                        1440   else if ( v.z() < 0.0 )
1427   {                                              1441   {
1428     pdist = fDz + p.z() ;                        1442     pdist = fDz + p.z() ;
1429                                                  1443 
1430     if ( pdist > halfCarTolerance)               1444     if ( pdist > halfCarTolerance)
1431     {                                            1445     {
1432       snxt = -pdist/v.z() ;                      1446       snxt = -pdist/v.z() ;
1433       side = kMZ ;                               1447       side = kMZ ;
1434     }                                            1448     }
1435     else                                         1449     else
1436     {                                            1450     {
1437       if ( calcNorm )                            1451       if ( calcNorm )
1438       {                                          1452       {
1439         *n         = G4ThreeVector(0,0,-1) ;     1453         *n         = G4ThreeVector(0,0,-1) ;
1440         *validNorm = true ;                      1454         *validNorm = true ;
1441       }                                          1455       }
1442       return snxt = 0.0 ;                        1456       return snxt = 0.0 ;
1443     }                                            1457     }
1444   }                                              1458   }
1445   else     // Travel perpendicular to z axis     1459   else     // Travel perpendicular to z axis
1446   {                                              1460   {
1447     snxt = kInfinity ;                           1461     snxt = kInfinity ;    
1448     side = kNull ;                               1462     side = kNull ;
1449   }                                              1463   }
1450                                                  1464 
1451   // Radial Intersections                        1465   // Radial Intersections
1452   //                                             1466   //
1453   // Intersection with outer cone (possible r    1467   // Intersection with outer cone (possible return) and
1454   //                   inner cone (must also     1468   //                   inner cone (must also check phi)
1455   //                                             1469   //
1456   // Intersection point (xi,yi,zi) on line x=    1470   // Intersection point (xi,yi,zi) on line x=p.x+t*v.x etc.
1457   //                                             1471   //
1458   // Intersects with x^2+y^2=(a*z+b)^2           1472   // Intersects with x^2+y^2=(a*z+b)^2
1459   //                                             1473   //
1460   // where a=tanRMax or tanRMin                  1474   // where a=tanRMax or tanRMin
1461   //       b=rMaxAv  or rMinAv                   1475   //       b=rMaxAv  or rMinAv
1462   //                                             1476   //
1463   // (vx^2+vy^2-(a*vz)^2)t^2+2t(pxvx+pyvy-a*v    1477   // (vx^2+vy^2-(a*vz)^2)t^2+2t(pxvx+pyvy-a*vz(a*pz+b))+px^2+py^2-(a*pz+b)^2=0 ;
1464   //     t1                        t2            1478   //     t1                        t2                      t3  
1465   //                                             1479   //
1466   //  \--------u-------/       \-----------v-    1480   //  \--------u-------/       \-----------v----------/ \---------w--------/
1467                                                  1481 
1468   tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;          1482   tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;
1469   secRMax = std::sqrt(1.0 + tanRMax*tanRMax)     1483   secRMax = std::sqrt(1.0 + tanRMax*tanRMax) ;
1470   rMaxAv  = (fRmax1 + fRmax2)*0.5 ;              1484   rMaxAv  = (fRmax1 + fRmax2)*0.5 ;
1471                                                  1485 
1472                                                  1486 
1473   t1   = 1.0 - v.z()*v.z() ;      // since v     1487   t1   = 1.0 - v.z()*v.z() ;      // since v normalised
1474   t2   = p.x()*v.x() + p.y()*v.y() ;             1488   t2   = p.x()*v.x() + p.y()*v.y() ;
1475   t3   = p.x()*p.x() + p.y()*p.y() ;             1489   t3   = p.x()*p.x() + p.y()*p.y() ;
1476   rout = tanRMax*p.z() + rMaxAv ;                1490   rout = tanRMax*p.z() + rMaxAv ;
1477                                                  1491 
1478   nt1 = t1 - (tanRMax*v.z())*(tanRMax*v.z())     1492   nt1 = t1 - (tanRMax*v.z())*(tanRMax*v.z()) ;
1479   nt2 = t2 - tanRMax*v.z()*rout ;                1493   nt2 = t2 - tanRMax*v.z()*rout ;
1480   nt3 = t3 - rout*rout ;                         1494   nt3 = t3 - rout*rout ;
1481                                                  1495 
1482   if (v.z() > 0.0)                               1496   if (v.z() > 0.0)
1483   {                                              1497   {
1484     deltaRoi2 = snxt*snxt*t1 + 2*snxt*t2 + t3    1498     deltaRoi2 = snxt*snxt*t1 + 2*snxt*t2 + t3
1485                 - fRmax2*(fRmax2 + kRadTolera    1499                 - fRmax2*(fRmax2 + kRadTolerance*secRMax);
1486   }                                              1500   }
1487   else if (v.z() < 0.0)                          1501   else if (v.z() < 0.0)
1488   {                                              1502   {
1489     deltaRoi2 = snxt*snxt*t1 + 2*snxt*t2 + t3    1503     deltaRoi2 = snxt*snxt*t1 + 2*snxt*t2 + t3
1490                 - fRmax1*(fRmax1 + kRadTolera    1504                 - fRmax1*(fRmax1 + kRadTolerance*secRMax);
1491   }                                              1505   }
1492   else                                           1506   else
1493   {                                              1507   {
1494     deltaRoi2 = 1.0;                             1508     deltaRoi2 = 1.0;
1495   }                                              1509   }
1496                                                  1510 
1497   if ( (nt1 != 0.0) && (deltaRoi2 > 0.0) )    << 1511   if ( nt1 && (deltaRoi2 > 0.0) )  
1498   {                                              1512   {
1499     // Equation quadratic => 2 roots : second    1513     // Equation quadratic => 2 roots : second root must be leaving
1500                                                  1514 
1501     b = nt2/nt1 ;                                1515     b = nt2/nt1 ;
1502     c = nt3/nt1 ;                                1516     c = nt3/nt1 ;
1503     d = b*b - c ;                                1517     d = b*b - c ;
1504                                                  1518 
1505     if ( d >= 0 )                                1519     if ( d >= 0 )
1506     {                                            1520     {
1507       // Check if on outer cone & heading out    1521       // Check if on outer cone & heading outwards
1508       // NOTE: Should use rho-rout>-kRadToler    1522       // NOTE: Should use rho-rout>-kRadTolerance*0.5
1509                                                  1523         
1510       if (nt3 > -halfRadTolerance && nt2 >= 0    1524       if (nt3 > -halfRadTolerance && nt2 >= 0 )
1511       {                                          1525       {
1512         if (calcNorm)                            1526         if (calcNorm)
1513         {                                        1527         {
1514           risec      = std::sqrt(t3)*secRMax     1528           risec      = std::sqrt(t3)*secRMax ;
1515           *validNorm = true ;                    1529           *validNorm = true ;
1516           *n         = G4ThreeVector(p.x()/ri    1530           *n         = G4ThreeVector(p.x()/risec,p.y()/risec,-tanRMax/secRMax);
1517         }                                        1531         }
1518         return snxt=0 ;                          1532         return snxt=0 ;
1519       }                                          1533       }
1520       else                                       1534       else
1521       {                                          1535       {
1522         sider = kRMax  ;                         1536         sider = kRMax  ;
1523         if (b>0) { srd = -b - std::sqrt(d);      1537         if (b>0) { srd = -b - std::sqrt(d);    }
1524         else     { srd = c/(-b+std::sqrt(d))     1538         else     { srd = c/(-b+std::sqrt(d)) ; }
1525                                                  1539 
1526         zi    = p.z() + srd*v.z() ;              1540         zi    = p.z() + srd*v.z() ;
1527         ri    = tanRMax*zi + rMaxAv ;            1541         ri    = tanRMax*zi + rMaxAv ;
1528                                                  1542           
1529         if ((ri >= 0) && (-halfRadTolerance <    1543         if ((ri >= 0) && (-halfRadTolerance <= srd) && (srd <= halfRadTolerance))
1530         {                                        1544         {
1531           // An intersection within the toler    1545           // An intersection within the tolerance
1532           //   we will Store it in case it is    1546           //   we will Store it in case it is good -
1533           //                                     1547           // 
1534           slentol = srd ;                        1548           slentol = srd ;
1535           sidetol = kRMax ;                      1549           sidetol = kRMax ;
1536         }                                        1550         }            
1537         if ( (ri < 0) || (srd < halfRadTolera    1551         if ( (ri < 0) || (srd < halfRadTolerance) )
1538         {                                        1552         {
1539           // Safety: if both roots -ve ensure    1553           // Safety: if both roots -ve ensure that srd cannot `win'
1540           //         distance to out             1554           //         distance to out
1541                                                  1555 
1542           if (b>0) { sr2 = c/(-b-std::sqrt(d)    1556           if (b>0) { sr2 = c/(-b-std::sqrt(d)); }
1543           else     { sr2 = -b + std::sqrt(d);    1557           else     { sr2 = -b + std::sqrt(d);   }
1544           zi  = p.z() + sr2*v.z() ;              1558           zi  = p.z() + sr2*v.z() ;
1545           ri  = tanRMax*zi + rMaxAv ;            1559           ri  = tanRMax*zi + rMaxAv ;
1546                                                  1560 
1547           if ((ri >= 0) && (sr2 > halfRadTole    1561           if ((ri >= 0) && (sr2 > halfRadTolerance))
1548           {                                      1562           {
1549             srd = sr2;                           1563             srd = sr2;
1550           }                                      1564           }
1551           else                                   1565           else
1552           {                                      1566           {
1553             srd = kInfinity ;                    1567             srd = kInfinity ;
1554                                                  1568 
1555             if( (-halfRadTolerance <= sr2) &&    1569             if( (-halfRadTolerance <= sr2) && ( sr2 <= halfRadTolerance) )
1556             {                                    1570             {
1557               // An intersection within the t    1571               // An intersection within the tolerance.
1558               // Storing it in case it is goo    1572               // Storing it in case it is good.
1559                                                  1573 
1560               slentol = sr2 ;                    1574               slentol = sr2 ;
1561               sidetol = kRMax ;                  1575               sidetol = kRMax ;
1562             }                                    1576             }
1563           }                                      1577           }
1564         }                                        1578         }
1565       }                                          1579       }
1566     }                                            1580     }
1567     else                                         1581     else
1568     {                                            1582     {
1569       // No intersection with outer cone & no    1583       // No intersection with outer cone & not parallel
1570       // -> already outside, no intersection     1584       // -> already outside, no intersection
1571                                                  1585 
1572       if ( calcNorm )                            1586       if ( calcNorm )
1573       {                                          1587       {
1574         risec      = std::sqrt(t3)*secRMax;      1588         risec      = std::sqrt(t3)*secRMax;
1575         *validNorm = true;                       1589         *validNorm = true;
1576         *n         = G4ThreeVector(p.x()/rise    1590         *n         = G4ThreeVector(p.x()/risec,p.y()/risec,-tanRMax/secRMax);
1577       }                                          1591       }
1578       return snxt = 0.0 ;                        1592       return snxt = 0.0 ;
1579     }                                            1593     }
1580   }                                              1594   }
1581   else if ( (nt2 != 0.0) && (deltaRoi2 > 0.0) << 1595   else if ( nt2 && (deltaRoi2 > 0.0) )
1582   {                                              1596   {
1583     // Linear case (only one intersection) =>    1597     // Linear case (only one intersection) => point outside outer cone
1584                                                  1598 
1585     if ( calcNorm )                              1599     if ( calcNorm )
1586     {                                            1600     {
1587       risec      = std::sqrt(t3)*secRMax;        1601       risec      = std::sqrt(t3)*secRMax;
1588       *validNorm = true;                         1602       *validNorm = true;
1589       *n         = G4ThreeVector(p.x()/risec,    1603       *n         = G4ThreeVector(p.x()/risec,p.y()/risec,-tanRMax/secRMax);
1590     }                                            1604     }
1591     return snxt = 0.0 ;                          1605     return snxt = 0.0 ;
1592   }                                              1606   }
1593   else                                           1607   else
1594   {                                              1608   {
1595     // No intersection -> parallel to outer c    1609     // No intersection -> parallel to outer cone
1596     // => Z or inner cone intersection           1610     // => Z or inner cone intersection
1597                                                  1611 
1598     srd = kInfinity ;                            1612     srd = kInfinity ;
1599   }                                              1613   }
1600                                                  1614 
1601   // Check possible intersection within toler    1615   // Check possible intersection within tolerance
1602                                                  1616 
1603   if ( slentol <= halfCarTolerance )             1617   if ( slentol <= halfCarTolerance )
1604   {                                              1618   {
1605     // An intersection within the tolerance w    1619     // An intersection within the tolerance was found.  
1606     // We must accept it only if the momentum    1620     // We must accept it only if the momentum points outwards.  
1607     //                                           1621     //
1608     // G4ThreeVector ptTol ;  // The point of    1622     // G4ThreeVector ptTol ;  // The point of the intersection  
1609     // ptTol= p + slentol*v ;                    1623     // ptTol= p + slentol*v ;
1610     // ri=tanRMax*zi+rMaxAv ;                    1624     // ri=tanRMax*zi+rMaxAv ;
1611     //                                           1625     //
1612     // Calculate a normal vector,  as below      1626     // Calculate a normal vector,  as below
1613                                                  1627 
1614     xi    = p.x() + slentol*v.x();               1628     xi    = p.x() + slentol*v.x();
1615     yi    = p.y() + slentol*v.y();               1629     yi    = p.y() + slentol*v.y();
1616     risec = std::sqrt(xi*xi + yi*yi)*secRMax;    1630     risec = std::sqrt(xi*xi + yi*yi)*secRMax;
1617     G4ThreeVector Normal = G4ThreeVector(xi/r    1631     G4ThreeVector Normal = G4ThreeVector(xi/risec,yi/risec,-tanRMax/secRMax);
1618                                                  1632 
1619     if ( Normal.dot(v) > 0 )    // We will le    1633     if ( Normal.dot(v) > 0 )    // We will leave the Cone immediatelly
1620     {                                            1634     {
1621       if ( calcNorm )                            1635       if ( calcNorm ) 
1622       {                                          1636       {
1623         *n         = Normal.unit() ;             1637         *n         = Normal.unit() ;
1624         *validNorm = true ;                      1638         *validNorm = true ;
1625       }                                          1639       }
1626       return snxt = 0.0 ;                        1640       return snxt = 0.0 ;
1627     }                                            1641     }
1628     else // On the surface, but not heading o    1642     else // On the surface, but not heading out so we ignore this intersection
1629     {    //                                      1643     {    //                                        (as it is within tolerance).
1630       slentol = kInfinity ;                      1644       slentol = kInfinity ;
1631     }                                            1645     }
1632   }                                              1646   }
1633                                                  1647 
1634   // Inner Cone intersection                     1648   // Inner Cone intersection
1635                                                  1649 
1636   if ( (fRmin1 != 0.0) || (fRmin2 != 0.0) )   << 1650   if ( fRmin1 || fRmin2 )
1637   {                                              1651   {
1638     tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;        1652     tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;
1639     nt1     = t1 - (tanRMin*v.z())*(tanRMin*v    1653     nt1     = t1 - (tanRMin*v.z())*(tanRMin*v.z()) ;
1640                                                  1654 
1641     if ( nt1 != 0.0 )                         << 1655     if ( nt1 )
1642     {                                            1656     {
1643       secRMin = std::sqrt(1.0 + tanRMin*tanRM    1657       secRMin = std::sqrt(1.0 + tanRMin*tanRMin) ;
1644       rMinAv  = (fRmin1 + fRmin2)*0.5 ;          1658       rMinAv  = (fRmin1 + fRmin2)*0.5 ;    
1645       rin     = tanRMin*p.z() + rMinAv ;         1659       rin     = tanRMin*p.z() + rMinAv ;
1646       nt2     = t2 - tanRMin*v.z()*rin ;         1660       nt2     = t2 - tanRMin*v.z()*rin ;
1647       nt3     = t3 - rin*rin ;                   1661       nt3     = t3 - rin*rin ;
1648                                                  1662       
1649       // Equation quadratic => 2 roots : firs    1663       // Equation quadratic => 2 roots : first root must be leaving
1650                                                  1664 
1651       b = nt2/nt1 ;                              1665       b = nt2/nt1 ;
1652       c = nt3/nt1 ;                              1666       c = nt3/nt1 ;
1653       d = b*b - c ;                              1667       d = b*b - c ;
1654                                                  1668 
1655       if ( d >= 0.0 )                            1669       if ( d >= 0.0 )
1656       {                                          1670       {
1657         // NOTE: should be rho-rin<kRadTolera    1671         // NOTE: should be rho-rin<kRadTolerance*0.5,
1658         //       but using squared versions f    1672         //       but using squared versions for efficiency
1659                                                  1673 
1660         if (nt3 < kRadTolerance*(rin + kRadTo    1674         if (nt3 < kRadTolerance*(rin + kRadTolerance*0.25)) 
1661         {                                        1675         {
1662           if ( nt2 < 0.0 )                       1676           if ( nt2 < 0.0 )
1663           {                                      1677           {
1664             if (calcNorm)  { *validNorm = fal    1678             if (calcNorm)  { *validNorm = false; }
1665             return          snxt      = 0.0;     1679             return          snxt      = 0.0;
1666           }                                      1680           }
1667         }                                        1681         }
1668         else                                     1682         else
1669         {                                        1683         {
1670           if (b>0) { sr2 = -b - std::sqrt(d);    1684           if (b>0) { sr2 = -b - std::sqrt(d);   }
1671           else     { sr2 = c/(-b+std::sqrt(d)    1685           else     { sr2 = c/(-b+std::sqrt(d)); }
1672           zi  = p.z() + sr2*v.z() ;              1686           zi  = p.z() + sr2*v.z() ;
1673           ri  = tanRMin*zi + rMinAv ;            1687           ri  = tanRMin*zi + rMinAv ;
1674                                                  1688 
1675           if( (ri>=0.0)&&(-halfRadTolerance<=    1689           if( (ri>=0.0)&&(-halfRadTolerance<=sr2)&&(sr2<=halfRadTolerance) )
1676           {                                      1690           {
1677             // An intersection within the tol    1691             // An intersection within the tolerance
1678             // storing it in case it is good.    1692             // storing it in case it is good.
1679                                                  1693 
1680             slentol = sr2 ;                      1694             slentol = sr2 ;
1681             sidetol = kRMax ;                    1695             sidetol = kRMax ;
1682           }                                      1696           }
1683           if( (ri<0) || (sr2 < halfRadToleran    1697           if( (ri<0) || (sr2 < halfRadTolerance) )
1684           {                                      1698           {
1685             if (b>0) { sr3 = c/(-b-std::sqrt(    1699             if (b>0) { sr3 = c/(-b-std::sqrt(d)); }
1686             else     { sr3 = -b + std::sqrt(d    1700             else     { sr3 = -b + std::sqrt(d) ;  }
1687                                                  1701 
1688             // Safety: if both roots -ve ensu    1702             // Safety: if both roots -ve ensure that srd cannot `win'
1689             //         distancetoout             1703             //         distancetoout
1690                                                  1704 
1691             if  ( sr3 > halfRadTolerance )       1705             if  ( sr3 > halfRadTolerance )
1692             {                                    1706             {
1693               if( sr3 < srd )                    1707               if( sr3 < srd )
1694               {                                  1708               {
1695                 zi = p.z() + sr3*v.z() ;         1709                 zi = p.z() + sr3*v.z() ;
1696                 ri = tanRMin*zi + rMinAv ;       1710                 ri = tanRMin*zi + rMinAv ;
1697                                                  1711 
1698                 if ( ri >= 0.0 )                 1712                 if ( ri >= 0.0 )
1699                 {                                1713                 {
1700                   srd=sr3 ;                      1714                   srd=sr3 ;
1701                   sider=kRMin ;                  1715                   sider=kRMin ;
1702                 }                                1716                 }
1703               }                                  1717               } 
1704             }                                    1718             }
1705             else if ( sr3 > -halfRadTolerance    1719             else if ( sr3 > -halfRadTolerance )
1706             {                                    1720             {
1707               // Intersection in tolerance. S    1721               // Intersection in tolerance. Store to check if it's good
1708                                                  1722 
1709               slentol = sr3 ;                    1723               slentol = sr3 ;
1710               sidetol = kRMin ;                  1724               sidetol = kRMin ;
1711             }                                    1725             }
1712           }                                      1726           }
1713           else if ( (sr2 < srd) && (sr2 > hal    1727           else if ( (sr2 < srd) && (sr2 > halfCarTolerance) )
1714           {                                      1728           {
1715             srd   = sr2 ;                        1729             srd   = sr2 ;
1716             sider = kRMin ;                      1730             sider = kRMin ;
1717           }                                      1731           }
1718           else if (sr2 > -halfCarTolerance)      1732           else if (sr2 > -halfCarTolerance)
1719           {                                      1733           {
1720             // Intersection in tolerance. Sto    1734             // Intersection in tolerance. Store to check if it's good
1721                                                  1735 
1722             slentol = sr2 ;                      1736             slentol = sr2 ;
1723             sidetol = kRMin ;                    1737             sidetol = kRMin ;
1724           }                                      1738           }    
1725           if( slentol <= halfCarTolerance  )     1739           if( slentol <= halfCarTolerance  )
1726           {                                      1740           {
1727             // An intersection within the tol    1741             // An intersection within the tolerance was found. 
1728             // We must accept it only if  the    1742             // We must accept it only if  the momentum points outwards. 
1729                                                  1743 
1730             G4ThreeVector Normal ;               1744             G4ThreeVector Normal ; 
1731                                                  1745             
1732             // Calculate a normal vector,  as    1746             // Calculate a normal vector,  as below
1733                                                  1747 
1734             xi     = p.x() + slentol*v.x() ;     1748             xi     = p.x() + slentol*v.x() ;
1735             yi     = p.y() + slentol*v.y() ;     1749             yi     = p.y() + slentol*v.y() ;
1736             if( sidetol==kRMax )                 1750             if( sidetol==kRMax )
1737             {                                    1751             {
1738               risec  = std::sqrt(xi*xi + yi*y    1752               risec  = std::sqrt(xi*xi + yi*yi)*secRMax ;
1739               Normal = G4ThreeVector(xi/risec    1753               Normal = G4ThreeVector(xi/risec,yi/risec,-tanRMax/secRMax) ;
1740             }                                    1754             }
1741             else                                 1755             else
1742             {                                    1756             {
1743               risec  = std::sqrt(xi*xi + yi*y    1757               risec  = std::sqrt(xi*xi + yi*yi)*secRMin ;
1744               Normal = G4ThreeVector(-xi/rise    1758               Normal = G4ThreeVector(-xi/risec,-yi/risec,tanRMin/secRMin) ;
1745             }                                    1759             }
1746             if( Normal.dot(v) > 0 )              1760             if( Normal.dot(v) > 0 )
1747             {                                    1761             {
1748               // We will leave the cone immed    1762               // We will leave the cone immediately
1749                                                  1763 
1750               if( calcNorm )                     1764               if( calcNorm ) 
1751               {                                  1765               {
1752                 *n         = Normal.unit() ;     1766                 *n         = Normal.unit() ;
1753                 *validNorm = true ;              1767                 *validNorm = true ;
1754               }                                  1768               }
1755               return snxt = 0.0 ;                1769               return snxt = 0.0 ;
1756             }                                    1770             }
1757             else                                 1771             else 
1758             {                                    1772             { 
1759               // On the surface, but not head    1773               // On the surface, but not heading out so we ignore this
1760               // intersection (as it is withi    1774               // intersection (as it is within tolerance). 
1761                                                  1775 
1762               slentol = kInfinity ;              1776               slentol = kInfinity ;
1763             }                                    1777             }        
1764           }                                      1778           }
1765         }                                        1779         }
1766       }                                          1780       }
1767     }                                            1781     }
1768   }                                              1782   }
1769                                                  1783 
1770   // Linear case => point outside inner cone     1784   // Linear case => point outside inner cone ---> outer cone intersect
1771   //                                             1785   //
1772   // Phi Intersection                            1786   // Phi Intersection
1773                                                  1787   
1774   if ( !fPhiFullCone )                           1788   if ( !fPhiFullCone )
1775   {                                              1789   {
1776     // add angle calculation with correction     1790     // add angle calculation with correction 
1777     // of the difference in domain of atan2 a    1791     // of the difference in domain of atan2 and Sphi
1778                                                  1792 
1779     vphi = std::atan2(v.y(),v.x()) ;             1793     vphi = std::atan2(v.y(),v.x()) ;
1780                                                  1794 
1781     if ( vphi < fSPhi - halfAngTolerance  )      1795     if ( vphi < fSPhi - halfAngTolerance  )              { vphi += twopi; }
1782     else if ( vphi > fSPhi + fDPhi + halfAngT    1796     else if ( vphi > fSPhi + fDPhi + halfAngTolerance )  { vphi -= twopi; }
1783                                                  1797 
1784     if ( (p.x() != 0.0) || (p.y() != 0.0) )   << 1798     if ( p.x() || p.y() )   // Check if on z axis (rho not needed later)
1785     {                                            1799     {
1786       // pDist -ve when inside                   1800       // pDist -ve when inside
1787                                                  1801 
1788       pDistS = p.x()*sinSPhi - p.y()*cosSPhi     1802       pDistS = p.x()*sinSPhi - p.y()*cosSPhi ;
1789       pDistE = -p.x()*sinEPhi + p.y()*cosEPhi    1803       pDistE = -p.x()*sinEPhi + p.y()*cosEPhi ;
1790                                                  1804 
1791       // Comp -ve when in direction of outwar    1805       // Comp -ve when in direction of outwards normal
1792                                                  1806 
1793       compS = -sinSPhi*v.x() + cosSPhi*v.y()     1807       compS = -sinSPhi*v.x() + cosSPhi*v.y() ;
1794       compE = sinEPhi*v.x() - cosEPhi*v.y() ;    1808       compE = sinEPhi*v.x() - cosEPhi*v.y() ;
1795                                                  1809 
1796       sidephi = kNull ;                          1810       sidephi = kNull ;
1797                                                  1811 
1798       if( ( (fDPhi <= pi) && ( (pDistS <= hal    1812       if( ( (fDPhi <= pi) && ( (pDistS <= halfCarTolerance)
1799                             && (pDistE <= hal    1813                             && (pDistE <= halfCarTolerance) ) )
1800          || ( (fDPhi >  pi) && ((pDistS <=  h << 1814          || ( (fDPhi >  pi) && !((pDistS >  halfCarTolerance)
1801                               || (pDistE <=   << 1815                               && (pDistE >  halfCarTolerance) ) )  )
1802       {                                          1816       {
1803         // Inside both phi *full* planes         1817         // Inside both phi *full* planes
1804         if ( compS < 0 )                         1818         if ( compS < 0 )
1805         {                                        1819         {
1806           sphi = pDistS/compS ;                  1820           sphi = pDistS/compS ;
1807           if (sphi >= -halfCarTolerance)         1821           if (sphi >= -halfCarTolerance)
1808           {                                      1822           {
1809             xi = p.x() + sphi*v.x() ;            1823             xi = p.x() + sphi*v.x() ;
1810             yi = p.y() + sphi*v.y() ;            1824             yi = p.y() + sphi*v.y() ;
1811                                                  1825 
1812             // Check intersecting with correc    1826             // Check intersecting with correct half-plane
1813             // (if not -> no intersect)          1827             // (if not -> no intersect)
1814             //                                   1828             //
1815             if ( (std::fabs(xi)<=kCarToleranc    1829             if ( (std::fabs(xi)<=kCarTolerance)
1816               && (std::fabs(yi)<=kCarToleranc    1830               && (std::fabs(yi)<=kCarTolerance) )
1817             {                                    1831             {
1818               sidephi= kSPhi;                    1832               sidephi= kSPhi;
1819               if ( ( fSPhi-halfAngTolerance <    1833               if ( ( fSPhi-halfAngTolerance <= vphi )
1820                 && ( fSPhi+fDPhi+halfAngToler    1834                 && ( fSPhi+fDPhi+halfAngTolerance >=vphi ) )
1821               {                                  1835               {
1822                 sphi = kInfinity;                1836                 sphi = kInfinity;
1823               }                                  1837               }
1824             }                                    1838             }
1825             else                                 1839             else
1826             if ( (yi*cosCPhi-xi*sinCPhi)>=0 )    1840             if ( (yi*cosCPhi-xi*sinCPhi)>=0 )
1827             {                                    1841             {
1828               sphi = kInfinity ;                 1842               sphi = kInfinity ;
1829             }                                    1843             }
1830             else                                 1844             else
1831             {                                    1845             {
1832               sidephi = kSPhi ;                  1846               sidephi = kSPhi ;
1833               if ( pDistS > -halfCarTolerance    1847               if ( pDistS > -halfCarTolerance )
1834               {                                  1848               {
1835                 sphi = 0.0 ; // Leave by sphi    1849                 sphi = 0.0 ; // Leave by sphi immediately
1836               }                                  1850               }    
1837             }                                    1851             }       
1838           }                                      1852           }
1839           else                                   1853           else
1840           {                                      1854           {
1841             sphi = kInfinity ;                   1855             sphi = kInfinity ;
1842           }                                      1856           }
1843         }                                        1857         }
1844         else                                     1858         else
1845         {                                        1859         {
1846           sphi = kInfinity ;                     1860           sphi = kInfinity ;
1847         }                                        1861         }
1848                                                  1862 
1849         if ( compE < 0 )                         1863         if ( compE < 0 )
1850         {                                        1864         {
1851           sphi2 = pDistE/compE ;                 1865           sphi2 = pDistE/compE ;
1852                                                  1866 
1853           // Only check further if < starting    1867           // Only check further if < starting phi intersection
1854           //                                     1868           //
1855           if ( (sphi2 > -halfCarTolerance) &&    1869           if ( (sphi2 > -halfCarTolerance) && (sphi2 < sphi) )
1856           {                                      1870           {
1857             xi = p.x() + sphi2*v.x() ;           1871             xi = p.x() + sphi2*v.x() ;
1858             yi = p.y() + sphi2*v.y() ;           1872             yi = p.y() + sphi2*v.y() ;
1859                                                  1873 
1860             // Check intersecting with correc    1874             // Check intersecting with correct half-plane
1861                                                  1875 
1862             if ( (std::fabs(xi)<=kCarToleranc    1876             if ( (std::fabs(xi)<=kCarTolerance)
1863               && (std::fabs(yi)<=kCarToleranc    1877               && (std::fabs(yi)<=kCarTolerance) )
1864             {                                    1878             {
1865               // Leaving via ending phi          1879               // Leaving via ending phi
1866                                                  1880 
1867               if( (fSPhi-halfAngTolerance > v << 1881               if(!( (fSPhi-halfAngTolerance <= vphi)
1868                  || (fSPhi+fDPhi+halfAngToler << 1882                  && (fSPhi+fDPhi+halfAngTolerance >= vphi) ) )
1869               {                                  1883               {
1870                 sidephi = kEPhi ;                1884                 sidephi = kEPhi ;
1871                 if ( pDistE <= -halfCarTolera    1885                 if ( pDistE <= -halfCarTolerance )  { sphi = sphi2; }
1872                 else                             1886                 else                                { sphi = 0.0; }
1873               }                                  1887               }
1874             }                                    1888             }
1875             else // Check intersecting with c    1889             else // Check intersecting with correct half-plane
1876             if ( yi*cosCPhi-xi*sinCPhi >= 0 )    1890             if ( yi*cosCPhi-xi*sinCPhi >= 0 )
1877             {                                    1891             {
1878               // Leaving via ending phi          1892               // Leaving via ending phi
1879                                                  1893 
1880               sidephi = kEPhi ;                  1894               sidephi = kEPhi ;
1881               if ( pDistE <= -halfCarToleranc    1895               if ( pDistE <= -halfCarTolerance )  { sphi = sphi2; }
1882               else                               1896               else                                { sphi = 0.0; }
1883             }                                    1897             }
1884           }                                      1898           }
1885         }                                        1899         }
1886       }                                          1900       }
1887       else                                       1901       else
1888       {                                          1902       {
1889         sphi = kInfinity ;                       1903         sphi = kInfinity ;
1890       }                                          1904       }
1891     }                                            1905     }
1892     else                                         1906     else
1893     {                                            1907     {
1894       // On z axis + travel not || to z axis     1908       // On z axis + travel not || to z axis -> if phi of vector direction
1895       // within phi of shape, Step limited by    1909       // within phi of shape, Step limited by rmax, else Step =0
1896                                                  1910 
1897       if ( (fSPhi-halfAngTolerance <= vphi)      1911       if ( (fSPhi-halfAngTolerance <= vphi)
1898         && (vphi <= fSPhi+fDPhi+halfAngTolera    1912         && (vphi <= fSPhi+fDPhi+halfAngTolerance) )
1899       {                                          1913       {
1900         sphi = kInfinity ;                       1914         sphi = kInfinity ;
1901       }                                          1915       }
1902       else                                       1916       else
1903       {                                          1917       {
1904         sidephi = kSPhi  ;   // arbitrary        1918         sidephi = kSPhi  ;   // arbitrary 
1905         sphi    = 0.0 ;                          1919         sphi    = 0.0 ;
1906       }                                          1920       }
1907     }                                            1921     }      
1908     if ( sphi < snxt )  // Order intersecttio    1922     if ( sphi < snxt )  // Order intersecttions
1909     {                                            1923     {
1910       snxt = sphi ;                              1924       snxt = sphi ;
1911       side = sidephi ;                           1925       side = sidephi ;
1912     }                                            1926     }
1913   }                                              1927   }
1914   if ( srd < snxt )  // Order intersections      1928   if ( srd < snxt )  // Order intersections
1915   {                                              1929   {
1916     snxt = srd   ;                               1930     snxt = srd   ;
1917     side = sider ;                               1931     side = sider ;
1918   }                                              1932   }
1919   if (calcNorm)                                  1933   if (calcNorm)
1920   {                                              1934   {
1921     switch(side)                                 1935     switch(side)
1922     {                     // Note: returned v    1936     {                     // Note: returned vector not normalised
1923       case kRMax:         // (divide by frmax    1937       case kRMax:         // (divide by frmax for unit vector)
1924         xi         = p.x() + snxt*v.x() ;        1938         xi         = p.x() + snxt*v.x() ;
1925         yi         = p.y() + snxt*v.y() ;        1939         yi         = p.y() + snxt*v.y() ;
1926         risec      = std::sqrt(xi*xi + yi*yi)    1940         risec      = std::sqrt(xi*xi + yi*yi)*secRMax ;
1927         *n         = G4ThreeVector(xi/risec,y    1941         *n         = G4ThreeVector(xi/risec,yi/risec,-tanRMax/secRMax) ;
1928         *validNorm = true ;                      1942         *validNorm = true ;
1929         break ;                                  1943         break ;
1930       case kRMin:                                1944       case kRMin:
1931         *validNorm = false ;  // Rmin is inco    1945         *validNorm = false ;  // Rmin is inconvex
1932         break ;                                  1946         break ;
1933       case kSPhi:                                1947       case kSPhi:
1934         if ( fDPhi <= pi )                       1948         if ( fDPhi <= pi )
1935         {                                        1949         {
1936           *n         = G4ThreeVector(sinSPhi,    1950           *n         = G4ThreeVector(sinSPhi, -cosSPhi, 0);
1937           *validNorm = true ;                    1951           *validNorm = true ;
1938         }                                        1952         }
1939         else                                     1953         else
1940         {                                        1954         {
1941           *validNorm = false ;                   1955           *validNorm = false ;
1942         }                                        1956         }
1943         break ;                                  1957         break ;
1944       case kEPhi:                                1958       case kEPhi:
1945         if ( fDPhi <= pi )                       1959         if ( fDPhi <= pi )
1946         {                                        1960         {
1947           *n = G4ThreeVector(-sinEPhi, cosEPh    1961           *n = G4ThreeVector(-sinEPhi, cosEPhi, 0);
1948           *validNorm = true ;                    1962           *validNorm = true ;
1949         }                                        1963         }
1950         else                                     1964         else
1951         {                                        1965         {
1952           *validNorm = false ;                   1966           *validNorm = false ;
1953         }                                        1967         }
1954         break ;                                  1968         break ;
1955       case kPZ:                                  1969       case kPZ:
1956         *n         = G4ThreeVector(0,0,1) ;      1970         *n         = G4ThreeVector(0,0,1) ;
1957         *validNorm = true ;                      1971         *validNorm = true ;
1958         break ;                                  1972         break ;
1959       case kMZ:                                  1973       case kMZ:
1960         *n         = G4ThreeVector(0,0,-1) ;     1974         *n         = G4ThreeVector(0,0,-1) ;
1961         *validNorm = true ;                      1975         *validNorm = true ;
1962         break ;                                  1976         break ;
1963       default:                                   1977       default:
1964         G4cout << G4endl ;                       1978         G4cout << G4endl ;
1965         DumpInfo();                              1979         DumpInfo();
1966         std::ostringstream message;              1980         std::ostringstream message;
1967         G4long oldprc = message.precision(16) << 1981         G4int oldprc = message.precision(16) ;
1968         message << "Undefined side for valid     1982         message << "Undefined side for valid surface normal to solid."
1969                 << G4endl                        1983                 << G4endl
1970                 << "Position:"  << G4endl <<     1984                 << "Position:"  << G4endl << G4endl
1971                 << "p.x() = "   << p.x()/mm <    1985                 << "p.x() = "   << p.x()/mm << " mm" << G4endl
1972                 << "p.y() = "   << p.y()/mm <    1986                 << "p.y() = "   << p.y()/mm << " mm" << G4endl
1973                 << "p.z() = "   << p.z()/mm <    1987                 << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl
1974                 << "pho at z = "   << std::sq    1988                 << "pho at z = "   << std::sqrt( p.x()*p.x()+p.y()*p.y() )/mm
1975                 << " mm" << G4endl << G4endl     1989                 << " mm" << G4endl << G4endl ;
1976         if( p.x() != 0. || p.y() != 0.)          1990         if( p.x() != 0. || p.y() != 0.)
1977         {                                        1991         {
1978            message << "point phi = "   << std    1992            message << "point phi = "   << std::atan2(p.y(),p.x())/degree
1979                    << " degrees" << G4endl << << 1993                    << " degree" << G4endl << G4endl ; 
1980         }                                        1994         }
1981         message << "Direction:" << G4endl <<     1995         message << "Direction:" << G4endl << G4endl
1982                 << "v.x() = "   << v.x() << G    1996                 << "v.x() = "   << v.x() << G4endl
1983                 << "v.y() = "   << v.y() << G    1997                 << "v.y() = "   << v.y() << G4endl
1984                 << "v.z() = "   << v.z() << G    1998                 << "v.z() = "   << v.z() << G4endl<< G4endl
1985                 << "Proposed distance :" << G    1999                 << "Proposed distance :" << G4endl<< G4endl
1986                 << "snxt = "    << snxt/mm <<    2000                 << "snxt = "    << snxt/mm << " mm" << G4endl ;
1987         message.precision(oldprc) ;              2001         message.precision(oldprc) ;
1988         G4Exception("G4Cons::DistanceToOut(p,    2002         G4Exception("G4Cons::DistanceToOut(p,v,..)","GeomSolids1002",
1989                     JustWarning, message) ;      2003                     JustWarning, message) ;
1990         break ;                                  2004         break ;
1991     }                                            2005     }
1992   }                                              2006   }
1993   if (snxt < halfCarTolerance)  { snxt = 0.;     2007   if (snxt < halfCarTolerance)  { snxt = 0.; }
1994                                                  2008 
1995   return snxt ;                                  2009   return snxt ;
1996 }                                                2010 }
1997                                                  2011 
1998 /////////////////////////////////////////////    2012 //////////////////////////////////////////////////////////////////
1999 //                                               2013 //
2000 // Calculate distance (<=actual) to closest s    2014 // Calculate distance (<=actual) to closest surface of shape from inside
2001                                                  2015 
2002 G4double G4Cons::DistanceToOut(const G4ThreeV    2016 G4double G4Cons::DistanceToOut(const G4ThreeVector& p) const
2003 {                                                2017 {
2004   G4double safe=0.0, rho, safeR1, safeR2, saf    2018   G4double safe=0.0, rho, safeR1, safeR2, safeZ, safePhi;
2005   G4double tanRMin, secRMin, pRMin;              2019   G4double tanRMin, secRMin, pRMin;
2006   G4double tanRMax, secRMax, pRMax;              2020   G4double tanRMax, secRMax, pRMax;
2007                                                  2021 
2008 #ifdef G4CSGDEBUG                                2022 #ifdef G4CSGDEBUG
2009   if( Inside(p) == kOutside )                    2023   if( Inside(p) == kOutside )
2010   {                                              2024   {
2011     G4int oldprc=G4cout.precision(16) ;          2025     G4int oldprc=G4cout.precision(16) ;
2012     G4cout << G4endl ;                           2026     G4cout << G4endl ;
2013     DumpInfo();                                  2027     DumpInfo();
2014     G4cout << "Position:"  << G4endl << G4end    2028     G4cout << "Position:"  << G4endl << G4endl ;
2015     G4cout << "p.x() = "   << p.x()/mm << " m    2029     G4cout << "p.x() = "   << p.x()/mm << " mm" << G4endl ;
2016     G4cout << "p.y() = "   << p.y()/mm << " m    2030     G4cout << "p.y() = "   << p.y()/mm << " mm" << G4endl ;
2017     G4cout << "p.z() = "   << p.z()/mm << " m    2031     G4cout << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl ;
2018     G4cout << "pho at z = "   << std::sqrt( p    2032     G4cout << "pho at z = "   << std::sqrt( p.x()*p.x()+p.y()*p.y() )/mm
2019            << " mm" << G4endl << G4endl ;        2033            << " mm" << G4endl << G4endl ;
2020     if( (p.x() != 0.) || (p.x() != 0.) )         2034     if( (p.x() != 0.) || (p.x() != 0.) )
2021     {                                            2035     {
2022       G4cout << "point phi = "   << std::atan    2036       G4cout << "point phi = "   << std::atan2(p.y(),p.x())/degree
2023              << " degrees" << G4endl << G4end << 2037              << " degree" << G4endl << G4endl ; 
2024     }                                            2038     }
2025     G4cout.precision(oldprc) ;                   2039     G4cout.precision(oldprc) ;
2026     G4Exception("G4Cons::DistanceToOut(p)", "    2040     G4Exception("G4Cons::DistanceToOut(p)", "GeomSolids1002",
2027                 JustWarning, "Point p is outs    2041                 JustWarning, "Point p is outside !?" );
2028   }                                              2042   }
2029 #endif                                           2043 #endif
2030                                                  2044 
2031   rho = std::sqrt(p.x()*p.x() + p.y()*p.y())     2045   rho = std::sqrt(p.x()*p.x() + p.y()*p.y()) ;
2032   safeZ = fDz - std::fabs(p.z()) ;               2046   safeZ = fDz - std::fabs(p.z()) ;
2033                                                  2047 
2034   if ((fRmin1 != 0.0) || (fRmin2 != 0.0))     << 2048   if (fRmin1 || fRmin2)
2035   {                                              2049   {
2036     tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;        2050     tanRMin = (fRmin2 - fRmin1)*0.5/fDz ;
2037     secRMin = std::sqrt(1.0 + tanRMin*tanRMin    2051     secRMin = std::sqrt(1.0 + tanRMin*tanRMin) ;
2038     pRMin   = tanRMin*p.z() + (fRmin1 + fRmin    2052     pRMin   = tanRMin*p.z() + (fRmin1 + fRmin2)*0.5 ;
2039     safeR1  = (rho - pRMin)/secRMin ;            2053     safeR1  = (rho - pRMin)/secRMin ;
2040   }                                              2054   }
2041   else                                           2055   else
2042   {                                              2056   {
2043     safeR1 = kInfinity ;                         2057     safeR1 = kInfinity ;
2044   }                                              2058   }
2045                                                  2059 
2046   tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;          2060   tanRMax = (fRmax2 - fRmax1)*0.5/fDz ;
2047   secRMax = std::sqrt(1.0 + tanRMax*tanRMax)     2061   secRMax = std::sqrt(1.0 + tanRMax*tanRMax) ;
2048   pRMax   = tanRMax*p.z() + (fRmax1+fRmax2)*0    2062   pRMax   = tanRMax*p.z() + (fRmax1+fRmax2)*0.5 ;
2049   safeR2  = (pRMax - rho)/secRMax ;              2063   safeR2  = (pRMax - rho)/secRMax ;
2050                                                  2064 
2051   if (safeR1 < safeR2)  { safe = safeR1; }       2065   if (safeR1 < safeR2)  { safe = safeR1; }
2052   else                  { safe = safeR2; }       2066   else                  { safe = safeR2; }
2053   if (safeZ < safe)     { safe = safeZ ; }       2067   if (safeZ < safe)     { safe = safeZ ; }
2054                                                  2068 
2055   // Check if phi divided, Calc distances clo    2069   // Check if phi divided, Calc distances closest phi plane
2056                                                  2070 
2057   if (!fPhiFullCone)                             2071   if (!fPhiFullCone)
2058   {                                              2072   {
2059     // Above/below central phi of G4Cons?        2073     // Above/below central phi of G4Cons?
2060                                                  2074 
2061     if ( (p.y()*cosCPhi - p.x()*sinCPhi) <= 0    2075     if ( (p.y()*cosCPhi - p.x()*sinCPhi) <= 0 )
2062     {                                            2076     {
2063       safePhi = -(p.x()*sinSPhi - p.y()*cosSP    2077       safePhi = -(p.x()*sinSPhi - p.y()*cosSPhi) ;
2064     }                                            2078     }
2065     else                                         2079     else
2066     {                                            2080     {
2067       safePhi = (p.x()*sinEPhi - p.y()*cosEPh    2081       safePhi = (p.x()*sinEPhi - p.y()*cosEPhi) ;
2068     }                                            2082     }
2069     if (safePhi < safe)  { safe = safePhi; }     2083     if (safePhi < safe)  { safe = safePhi; }
2070   }                                              2084   }
2071   if ( safe < 0 )  { safe = 0; }                 2085   if ( safe < 0 )  { safe = 0; }
2072                                                  2086 
2073   return safe ;                                  2087   return safe ;
2074 }                                                2088 }
2075                                                  2089 
2076 /////////////////////////////////////////////    2090 //////////////////////////////////////////////////////////////////////////
2077 //                                               2091 //
2078 // GetEntityType                                 2092 // GetEntityType
2079                                                  2093 
2080 G4GeometryType G4Cons::GetEntityType() const     2094 G4GeometryType G4Cons::GetEntityType() const
2081 {                                                2095 {
2082   return {"G4Cons"};                          << 2096   return G4String("G4Cons");
2083 }                                                2097 }
2084                                                  2098 
2085 /////////////////////////////////////////////    2099 //////////////////////////////////////////////////////////////////////////
2086 //                                               2100 //
2087 // Make a clone of the object                    2101 // Make a clone of the object
2088 //                                               2102 //
2089 G4VSolid* G4Cons::Clone() const                  2103 G4VSolid* G4Cons::Clone() const
2090 {                                                2104 {
2091   return new G4Cons(*this);                      2105   return new G4Cons(*this);
2092 }                                                2106 }
2093                                                  2107 
2094 /////////////////////////////////////////////    2108 //////////////////////////////////////////////////////////////////////////
2095 //                                               2109 //
2096 // Stream object contents to an output stream    2110 // Stream object contents to an output stream
2097                                                  2111 
2098 std::ostream& G4Cons::StreamInfo(std::ostream    2112 std::ostream& G4Cons::StreamInfo(std::ostream& os) const
2099 {                                                2113 {
2100   G4long oldprc = os.precision(16);           << 2114   G4int oldprc = os.precision(16);
2101   os << "------------------------------------    2115   os << "-----------------------------------------------------------\n"
2102      << "    *** Dump for solid - " << GetNam    2116      << "    *** Dump for solid - " << GetName() << " ***\n"
2103      << "    ================================    2117      << "    ===================================================\n"
2104      << " Solid type: G4Cons\n"                  2118      << " Solid type: G4Cons\n"
2105      << " Parameters: \n"                        2119      << " Parameters: \n"
2106      << "   inside  -fDz radius: "  << fRmin1    2120      << "   inside  -fDz radius: "  << fRmin1/mm << " mm \n"
2107      << "   outside -fDz radius: "  << fRmax1    2121      << "   outside -fDz radius: "  << fRmax1/mm << " mm \n"
2108      << "   inside  +fDz radius: "  << fRmin2    2122      << "   inside  +fDz radius: "  << fRmin2/mm << " mm \n"
2109      << "   outside +fDz radius: "  << fRmax2    2123      << "   outside +fDz radius: "  << fRmax2/mm << " mm \n"
2110      << "   half length in Z   : "  << fDz/mm    2124      << "   half length in Z   : "  << fDz/mm << " mm \n"
2111      << "   starting angle of segment: " << f    2125      << "   starting angle of segment: " << fSPhi/degree << " degrees \n"
2112      << "   delta angle of segment   : " << f    2126      << "   delta angle of segment   : " << fDPhi/degree << " degrees \n"
2113      << "------------------------------------    2127      << "-----------------------------------------------------------\n";
2114   os.precision(oldprc);                          2128   os.precision(oldprc);
2115                                                  2129 
2116   return os;                                     2130   return os;
2117 }                                                2131 }
2118                                                  2132 
2119                                                  2133 
2120                                                  2134 
2121 /////////////////////////////////////////////    2135 /////////////////////////////////////////////////////////////////////////
2122 //                                               2136 //
2123 // GetPointOnSurface                             2137 // GetPointOnSurface
2124                                                  2138 
2125 G4ThreeVector G4Cons::GetPointOnSurface() con    2139 G4ThreeVector G4Cons::GetPointOnSurface() const
2126 {                                                2140 {
2127   // declare working variables                   2141   // declare working variables
2128   //                                             2142   //
2129   G4double rone = (fRmax1-fRmax2)/(2.*fDz);      2143   G4double rone = (fRmax1-fRmax2)/(2.*fDz);
2130   G4double rtwo = (fRmin1-fRmin2)/(2.*fDz);      2144   G4double rtwo = (fRmin1-fRmin2)/(2.*fDz);
2131   G4double qone = (fRmax1 == fRmax2) ? 0. : f    2145   G4double qone = (fRmax1 == fRmax2) ? 0. : fDz*(fRmax1+fRmax2)/(fRmax1-fRmax2);
2132   G4double qtwo = (fRmin1 == fRmin2) ? 0. : f    2146   G4double qtwo = (fRmin1 == fRmin2) ? 0. : fDz*(fRmin1+fRmin2)/(fRmin1-fRmin2);
2133                                                  2147 
2134   G4double slin   = std::hypot(fRmin1-fRmin2,    2148   G4double slin   = std::hypot(fRmin1-fRmin2, 2.*fDz);
2135   G4double slout  = std::hypot(fRmax1-fRmax2,    2149   G4double slout  = std::hypot(fRmax1-fRmax2, 2.*fDz);
2136   G4double Aone   = 0.5*fDPhi*(fRmax2 + fRmax    2150   G4double Aone   = 0.5*fDPhi*(fRmax2 + fRmax1)*slout; // outer surface
2137   G4double Atwo   = 0.5*fDPhi*(fRmin2 + fRmin    2151   G4double Atwo   = 0.5*fDPhi*(fRmin2 + fRmin1)*slin;  // inner surface
2138   G4double Athree = 0.5*fDPhi*(fRmax1*fRmax1-    2152   G4double Athree = 0.5*fDPhi*(fRmax1*fRmax1-fRmin1*fRmin1); // base at -Dz
2139   G4double Afour  = 0.5*fDPhi*(fRmax2*fRmax2-    2153   G4double Afour  = 0.5*fDPhi*(fRmax2*fRmax2-fRmin2*fRmin2); // base at +Dz
2140   G4double Afive  = fDz*(fRmax1-fRmin1+fRmax2    2154   G4double Afive  = fDz*(fRmax1-fRmin1+fRmax2-fRmin2); // phi section
2141                                                  2155 
2142   G4double phi    = G4RandFlat::shoot(fSPhi,f    2156   G4double phi    = G4RandFlat::shoot(fSPhi,fSPhi+fDPhi);
2143   G4double cosu   = std::cos(phi);               2157   G4double cosu   = std::cos(phi);
2144   G4double sinu   = std::sin(phi);               2158   G4double sinu   = std::sin(phi);
2145   G4double rRand1 = GetRadiusInRing(fRmin1, f    2159   G4double rRand1 = GetRadiusInRing(fRmin1, fRmax1);
2146   G4double rRand2 = GetRadiusInRing(fRmin2, f    2160   G4double rRand2 = GetRadiusInRing(fRmin2, fRmax2);
2147                                                  2161   
2148   if ( (fSPhi == 0.) && fPhiFullCone )  { Afi    2162   if ( (fSPhi == 0.) && fPhiFullCone )  { Afive = 0.; }
2149   G4double chose  = G4RandFlat::shoot(0.,Aone    2163   G4double chose  = G4RandFlat::shoot(0.,Aone+Atwo+Athree+Afour+2.*Afive);
2150                                                  2164 
2151   if( (chose >= 0.) && (chose < Aone) ) // ou    2165   if( (chose >= 0.) && (chose < Aone) ) // outer surface
2152   {                                              2166   {
2153     if(fRmax1 != fRmax2)                         2167     if(fRmax1 != fRmax2)
2154     {                                            2168     {
2155       G4double zRand = G4RandFlat::shoot(-1.*    2169       G4double zRand = G4RandFlat::shoot(-1.*fDz,fDz);
2156       return { rone*cosu*(qone-zRand), rone*s << 2170       return G4ThreeVector (rone*cosu*(qone-zRand),
                                                   >> 2171                             rone*sinu*(qone-zRand), zRand);
2157     }                                            2172     }
2158     else                                         2173     else
2159     {                                            2174     {
2160       return { fRmax1*cosu, fRmax2*sinu, G4Ra << 2175       return G4ThreeVector(fRmax1*cosu, fRmax2*sinu,
                                                   >> 2176                            G4RandFlat::shoot(-1.*fDz,fDz));
2161     }                                            2177     }
2162   }                                              2178   }
2163   else if( (chose >= Aone) && (chose < Aone +    2179   else if( (chose >= Aone) && (chose < Aone + Atwo) )  // inner surface
2164   {                                              2180   {
2165     if(fRmin1 != fRmin2)                         2181     if(fRmin1 != fRmin2)
2166     {                                            2182     {
2167       G4double zRand = G4RandFlat::shoot(-1.*    2183       G4double zRand = G4RandFlat::shoot(-1.*fDz,fDz);
2168       return { rtwo*cosu*(qtwo-zRand), rtwo*s << 2184       return G4ThreeVector (rtwo*cosu*(qtwo-zRand),
                                                   >> 2185                             rtwo*sinu*(qtwo-zRand), zRand);
2169     }                                            2186     }
2170     else                                         2187     else
2171     {                                            2188     {
2172       return { fRmin1*cosu, fRmin2*sinu, G4Ra << 2189       return G4ThreeVector(fRmin1*cosu, fRmin2*sinu,
                                                   >> 2190                            G4RandFlat::shoot(-1.*fDz,fDz));
2173     }                                            2191     }
2174   }                                              2192   }
2175   else if( (chose >= Aone + Atwo) && (chose <    2193   else if( (chose >= Aone + Atwo) && (chose < Aone + Atwo + Athree) ) // base at -Dz
2176   {                                              2194   {
2177     return {rRand1*cosu, rRand1*sinu, -1*fDz} << 2195     return G4ThreeVector (rRand1*cosu, rRand1*sinu, -1*fDz);
2178   }                                              2196   }
2179   else if( (chose >= Aone + Atwo + Athree)       2197   else if( (chose >= Aone + Atwo + Athree)
2180         && (chose < Aone + Atwo + Athree + Af    2198         && (chose < Aone + Atwo + Athree + Afour) ) // base at +Dz
2181   {                                              2199   {
2182     return { rRand2*cosu, rRand2*sinu, fDz }; << 2200     return G4ThreeVector (rRand2*cosu,rRand2*sinu,fDz);
2183   }                                              2201   }
2184   else if( (chose >= Aone + Atwo + Athree + A    2202   else if( (chose >= Aone + Atwo + Athree + Afour) // SPhi section
2185         && (chose < Aone + Atwo + Athree + Af    2203         && (chose < Aone + Atwo + Athree + Afour + Afive) )
2186   {                                              2204   {
2187     G4double zRand  = G4RandFlat::shoot(-1.*f    2205     G4double zRand  = G4RandFlat::shoot(-1.*fDz,fDz);
2188     rRand1 = G4RandFlat::shoot(fRmin2-((zRand    2206     rRand1 = G4RandFlat::shoot(fRmin2-((zRand-fDz)/(2.*fDz))*(fRmin1-fRmin2),
2189                                fRmax2-((zRand    2207                                fRmax2-((zRand-fDz)/(2.*fDz))*(fRmax1-fRmax2));
2190     return { rRand1*cosSPhi, rRand1*sinSPhi,  << 2208     return G4ThreeVector (rRand1*cosSPhi,
                                                   >> 2209                           rRand1*sinSPhi, zRand);
2191   }                                              2210   }
2192   else // SPhi+DPhi section                      2211   else // SPhi+DPhi section
2193   {                                              2212   {
2194     G4double zRand  = G4RandFlat::shoot(-1.*f    2213     G4double zRand  = G4RandFlat::shoot(-1.*fDz,fDz);
2195     rRand1 = G4RandFlat::shoot(fRmin2-((zRand    2214     rRand1 = G4RandFlat::shoot(fRmin2-((zRand-fDz)/(2.*fDz))*(fRmin1-fRmin2),
2196                                fRmax2-((zRand    2215                                fRmax2-((zRand-fDz)/(2.*fDz))*(fRmax1-fRmax2)); 
2197     return { rRand1*cosEPhi, rRand1*sinEPhi,  << 2216     return G4ThreeVector (rRand1*cosEPhi,
                                                   >> 2217                           rRand1*sinEPhi, zRand);
2198   }                                              2218   }
2199 }                                                2219 }
2200                                                  2220 
2201 /////////////////////////////////////////////    2221 //////////////////////////////////////////////////////////////////////////
2202 //                                               2222 //
2203 // Methods for visualisation                     2223 // Methods for visualisation
2204                                                  2224 
2205 void G4Cons::DescribeYourselfTo (G4VGraphicsS    2225 void G4Cons::DescribeYourselfTo (G4VGraphicsScene& scene) const
2206 {                                                2226 {
2207   scene.AddSolid (*this);                        2227   scene.AddSolid (*this);
2208 }                                                2228 }
2209                                                  2229 
2210 G4Polyhedron* G4Cons::CreatePolyhedron () con    2230 G4Polyhedron* G4Cons::CreatePolyhedron () const
2211 {                                                2231 {
2212   return new G4PolyhedronCons(fRmin1,fRmax1,f    2232   return new G4PolyhedronCons(fRmin1,fRmax1,fRmin2,fRmax2,fDz,fSPhi,fDPhi);
2213 }                                                2233 }
2214                                                  2234 
2215 #endif                                           2235 #endif
2216                                                  2236