1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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7 | // * conditions of the Geant4 Software License, included in the file * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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16 | // * for the full disclaimer and the limitation of liability. * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // |
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27 | // $Id: G4Sphere.cc,v 1.84 2009/08/07 15:56:23 gcosmo Exp $ |
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28 | // GEANT4 tag $Name: geant4-09-04-beta-01 $ |
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29 | // |
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30 | // class G4Sphere |
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31 | // |
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32 | // Implementation for G4Sphere class |
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33 | // |
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34 | // History: |
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35 | // |
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36 | // 14.09.09 T.Nikitina: fix for phi section in DistanceToOut(p,v,..),as for G4Tubs,G4Cons |
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37 | // 26.03.09 G.Cosmo : optimisations and uniform use of local radial tolerance |
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38 | // 12.06.08 V.Grichine: fix for theta intersections in DistanceToOut(p,v,...) |
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39 | // 22.07.05 O.Link : Added check for intersection with double cone |
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40 | // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal |
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41 | // 16.09.04 V.Grichine: bug fixed in SurfaceNormal(p), theta normals |
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42 | // 16.07.04 V.Grichine: bug fixed in DistanceToOut(p,v), Rmin go outside |
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43 | // 02.06.04 V.Grichine: bug fixed in DistanceToIn(p,v), on Rmax,Rmin go inside |
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44 | // 30.10.03 J.Apostolakis: new algorithm in Inside for SPhi-sections |
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45 | // 29.10.03 J.Apostolakis: fix in Inside for SPhi-0.5*kAngTol < phi<SPhi, SPhi<0 |
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46 | // 19.06.02 V.Grichine: bug fixed in Inside(p), && -> && fDTheta - kAngTolerance |
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47 | // 30.01.02 V.Grichine: bug fixed in Inside(p), && -> || at l.451 |
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48 | // 06.03.00 V.Grichine: modifications in Distance ToOut(p,v,...) |
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49 | // 18.11.99 V.Grichine: side = kNull in Distance ToOut(p,v,...) |
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50 | // 25.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), phi intersections |
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51 | // 12.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), theta intersections |
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52 | // 09.10.98 V.Grichine: modifications in DistanceToOut(p,v,...) |
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53 | // 17.09.96 V.Grichine: final modifications to commit |
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54 | // 28.03.94 P.Kent: old C++ code converted to tolerant geometry |
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55 | // -------------------------------------------------------------------- |
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56 | |
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57 | #include "G4Sphere.hh" |
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58 | |
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59 | #include "G4VoxelLimits.hh" |
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60 | #include "G4AffineTransform.hh" |
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61 | #include "G4GeometryTolerance.hh" |
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62 | |
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63 | #include "G4VPVParameterisation.hh" |
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64 | |
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65 | #include "Randomize.hh" |
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66 | |
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67 | #include "meshdefs.hh" |
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68 | |
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69 | #include "G4VGraphicsScene.hh" |
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70 | #include "G4VisExtent.hh" |
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71 | #include "G4Polyhedron.hh" |
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72 | #include "G4NURBS.hh" |
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73 | #include "G4NURBSbox.hh" |
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74 | |
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75 | using namespace CLHEP; |
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76 | |
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77 | // Private enum: Not for external use - used by distanceToOut |
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78 | |
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79 | enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kSTheta,kETheta}; |
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80 | |
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81 | // used by normal |
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82 | |
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83 | enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNSTheta,kNETheta}; |
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84 | |
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85 | //////////////////////////////////////////////////////////////////////// |
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86 | // |
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87 | // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI |
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88 | // - note if pDPhi>2PI then reset to 2PI |
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89 | |
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90 | G4Sphere::G4Sphere( const G4String& pName, |
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91 | G4double pRmin, G4double pRmax, |
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92 | G4double pSPhi, G4double pDPhi, |
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93 | G4double pSTheta, G4double pDTheta ) |
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94 | : G4CSGSolid(pName), fFullPhiSphere(true), fFullThetaSphere(true) |
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95 | { |
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96 | fEpsilon = 2.0e-11; // relative radial tolerance constant |
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97 | |
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98 | kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance(); |
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99 | |
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100 | // Check radii and set radial tolerances |
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101 | |
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102 | G4double kRadTolerance = G4GeometryTolerance::GetInstance() |
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103 | ->GetRadialTolerance(); |
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104 | if ( (pRmin < pRmax) && (pRmax >= 10*kRadTolerance) && (pRmin >= 0) ) |
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105 | { |
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106 | fRmin=pRmin; fRmax=pRmax; |
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107 | fRminTolerance = (pRmin) ? std::max( kRadTolerance, fEpsilon*fRmin ) : 0; |
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108 | fRmaxTolerance = std::max( kRadTolerance, fEpsilon*fRmax ); |
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109 | } |
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110 | else |
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111 | { |
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112 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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113 | << " Invalide values for radii ! - " |
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114 | << " pRmin = " << pRmin << ", pRmax = " << pRmax << G4endl; |
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115 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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116 | "Invalid radii"); |
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117 | } |
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118 | |
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119 | // Check angles |
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120 | |
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121 | CheckPhiAngles(pSPhi, pDPhi); |
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122 | CheckThetaAngles(pSTheta, pDTheta); |
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123 | } |
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124 | |
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125 | /////////////////////////////////////////////////////////////////////// |
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126 | // |
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127 | // Fake default constructor - sets only member data and allocates memory |
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128 | // for usage restricted to object persistency. |
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129 | // |
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130 | G4Sphere::G4Sphere( __void__& a ) |
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131 | : G4CSGSolid(a) |
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132 | { |
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133 | } |
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134 | |
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135 | ///////////////////////////////////////////////////////////////////// |
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136 | // |
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137 | // Destructor |
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138 | |
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139 | G4Sphere::~G4Sphere() |
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140 | { |
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141 | } |
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142 | |
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143 | ////////////////////////////////////////////////////////////////////////// |
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144 | // |
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145 | // Dispatch to parameterisation for replication mechanism dimension |
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146 | // computation & modification. |
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147 | |
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148 | void G4Sphere::ComputeDimensions( G4VPVParameterisation* p, |
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149 | const G4int n, |
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150 | const G4VPhysicalVolume* pRep) |
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151 | { |
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152 | p->ComputeDimensions(*this,n,pRep); |
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153 | } |
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154 | |
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155 | //////////////////////////////////////////////////////////////////////////// |
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156 | // |
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157 | // Calculate extent under transform and specified limit |
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158 | |
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159 | G4bool G4Sphere::CalculateExtent( const EAxis pAxis, |
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160 | const G4VoxelLimits& pVoxelLimit, |
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161 | const G4AffineTransform& pTransform, |
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162 | G4double& pMin, G4double& pMax ) const |
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163 | { |
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164 | if ( fFullSphere ) |
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165 | { |
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166 | // Special case handling for solid spheres-shells |
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167 | // (rotation doesn't influence). |
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168 | // Compute x/y/z mins and maxs for bounding box respecting limits, |
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169 | // with early returns if outside limits. Then switch() on pAxis, |
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170 | // and compute exact x and y limit for x/y case |
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171 | |
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172 | G4double xoffset,xMin,xMax; |
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173 | G4double yoffset,yMin,yMax; |
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174 | G4double zoffset,zMin,zMax; |
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175 | |
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176 | G4double diff1,diff2,maxDiff,newMin,newMax; |
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177 | G4double xoff1,xoff2,yoff1,yoff2; |
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178 | |
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179 | xoffset=pTransform.NetTranslation().x(); |
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180 | xMin=xoffset-fRmax; |
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181 | xMax=xoffset+fRmax; |
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182 | if (pVoxelLimit.IsXLimited()) |
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183 | { |
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184 | if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance) |
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185 | || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) ) |
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186 | { |
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187 | return false; |
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188 | } |
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189 | else |
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190 | { |
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191 | if (xMin<pVoxelLimit.GetMinXExtent()) |
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192 | { |
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193 | xMin=pVoxelLimit.GetMinXExtent(); |
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194 | } |
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195 | if (xMax>pVoxelLimit.GetMaxXExtent()) |
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196 | { |
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197 | xMax=pVoxelLimit.GetMaxXExtent(); |
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198 | } |
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199 | } |
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200 | } |
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201 | |
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202 | yoffset=pTransform.NetTranslation().y(); |
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203 | yMin=yoffset-fRmax; |
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204 | yMax=yoffset+fRmax; |
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205 | if (pVoxelLimit.IsYLimited()) |
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206 | { |
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207 | if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance) |
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208 | || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) ) |
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209 | { |
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210 | return false; |
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211 | } |
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212 | else |
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213 | { |
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214 | if (yMin<pVoxelLimit.GetMinYExtent()) |
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215 | { |
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216 | yMin=pVoxelLimit.GetMinYExtent(); |
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217 | } |
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218 | if (yMax>pVoxelLimit.GetMaxYExtent()) |
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219 | { |
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220 | yMax=pVoxelLimit.GetMaxYExtent(); |
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221 | } |
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222 | } |
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223 | } |
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224 | |
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225 | zoffset=pTransform.NetTranslation().z(); |
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226 | zMin=zoffset-fRmax; |
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227 | zMax=zoffset+fRmax; |
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228 | if (pVoxelLimit.IsZLimited()) |
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229 | { |
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230 | if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance) |
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231 | || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) ) |
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232 | { |
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233 | return false; |
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234 | } |
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235 | else |
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236 | { |
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237 | if (zMin<pVoxelLimit.GetMinZExtent()) |
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238 | { |
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239 | zMin=pVoxelLimit.GetMinZExtent(); |
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240 | } |
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241 | if (zMax>pVoxelLimit.GetMaxZExtent()) |
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242 | { |
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243 | zMax=pVoxelLimit.GetMaxZExtent(); |
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244 | } |
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245 | } |
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246 | } |
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247 | |
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248 | // Known to cut sphere |
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249 | |
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250 | switch (pAxis) |
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251 | { |
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252 | case kXAxis: |
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253 | yoff1=yoffset-yMin; |
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254 | yoff2=yMax-yoffset; |
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255 | if ((yoff1>=0) && (yoff2>=0)) |
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256 | { |
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257 | // Y limits cross max/min x => no change |
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258 | // |
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259 | pMin=xMin; |
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260 | pMax=xMax; |
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261 | } |
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262 | else |
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263 | { |
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264 | // Y limits don't cross max/min x => compute max delta x, |
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265 | // hence new mins/maxs |
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266 | // |
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267 | diff1=std::sqrt(fRmax*fRmax-yoff1*yoff1); |
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268 | diff2=std::sqrt(fRmax*fRmax-yoff2*yoff2); |
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269 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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270 | newMin=xoffset-maxDiff; |
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271 | newMax=xoffset+maxDiff; |
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272 | pMin=(newMin<xMin) ? xMin : newMin; |
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273 | pMax=(newMax>xMax) ? xMax : newMax; |
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274 | } |
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275 | break; |
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276 | case kYAxis: |
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277 | xoff1=xoffset-xMin; |
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278 | xoff2=xMax-xoffset; |
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279 | if ((xoff1>=0) && (xoff2>=0)) |
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280 | { |
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281 | // X limits cross max/min y => no change |
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282 | // |
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283 | pMin=yMin; |
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284 | pMax=yMax; |
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285 | } |
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286 | else |
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287 | { |
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288 | // X limits don't cross max/min y => compute max delta y, |
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289 | // hence new mins/maxs |
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290 | // |
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291 | diff1=std::sqrt(fRmax*fRmax-xoff1*xoff1); |
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292 | diff2=std::sqrt(fRmax*fRmax-xoff2*xoff2); |
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293 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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294 | newMin=yoffset-maxDiff; |
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295 | newMax=yoffset+maxDiff; |
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296 | pMin=(newMin<yMin) ? yMin : newMin; |
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297 | pMax=(newMax>yMax) ? yMax : newMax; |
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298 | } |
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299 | break; |
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300 | case kZAxis: |
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301 | pMin=zMin; |
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302 | pMax=zMax; |
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303 | break; |
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304 | default: |
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305 | break; |
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306 | } |
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307 | pMin-=kCarTolerance; |
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308 | pMax+=kCarTolerance; |
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309 | |
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310 | return true; |
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311 | } |
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312 | else // Transformed cutted sphere |
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313 | { |
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314 | G4int i,j,noEntries,noBetweenSections; |
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315 | G4bool existsAfterClip=false; |
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316 | |
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317 | // Calculate rotated vertex coordinates |
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318 | |
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319 | G4ThreeVectorList* vertices; |
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320 | G4int noPolygonVertices ; |
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321 | vertices=CreateRotatedVertices(pTransform,noPolygonVertices); |
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322 | |
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323 | pMin=+kInfinity; |
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324 | pMax=-kInfinity; |
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325 | |
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326 | noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections |
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327 | noBetweenSections=noEntries-noPolygonVertices; |
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328 | |
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329 | G4ThreeVectorList ThetaPolygon ; |
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330 | for (i=0;i<noEntries;i+=noPolygonVertices) |
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331 | { |
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332 | for(j=0;j<(noPolygonVertices/2)-1;j++) |
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333 | { |
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334 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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335 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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336 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]) ; |
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337 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]) ; |
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338 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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339 | ThetaPolygon.clear() ; |
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340 | } |
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341 | } |
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342 | for (i=0;i<noBetweenSections;i+=noPolygonVertices) |
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343 | { |
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344 | for(j=0;j<noPolygonVertices-1;j++) |
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345 | { |
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346 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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347 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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348 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]) ; |
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349 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]) ; |
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350 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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351 | ThetaPolygon.clear() ; |
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352 | } |
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353 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]) ; |
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354 | ThetaPolygon.push_back((*vertices)[i]) ; |
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355 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]) ; |
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356 | ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]) ; |
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357 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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358 | ThetaPolygon.clear() ; |
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359 | } |
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360 | |
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361 | if ((pMin!=kInfinity) || (pMax!=-kInfinity)) |
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362 | { |
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363 | existsAfterClip=true; |
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364 | |
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365 | // Add 2*tolerance to avoid precision troubles |
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366 | // |
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367 | pMin-=kCarTolerance; |
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368 | pMax+=kCarTolerance; |
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369 | } |
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370 | else |
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371 | { |
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372 | // Check for case where completely enveloping clipping volume |
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373 | // If point inside then we are confident that the solid completely |
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374 | // envelopes the clipping volume. Hence set min/max extents according |
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375 | // to clipping volume extents along the specified axis. |
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376 | |
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377 | G4ThreeVector clipCentre( |
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378 | (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5, |
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379 | (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5, |
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380 | (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5); |
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381 | |
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382 | if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside) |
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383 | { |
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384 | existsAfterClip=true; |
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385 | pMin=pVoxelLimit.GetMinExtent(pAxis); |
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386 | pMax=pVoxelLimit.GetMaxExtent(pAxis); |
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387 | } |
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388 | } |
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389 | delete vertices; |
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390 | return existsAfterClip; |
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391 | } |
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392 | } |
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393 | |
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394 | /////////////////////////////////////////////////////////////////////////// |
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395 | // |
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396 | // Return whether point inside/outside/on surface |
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397 | // Split into radius, phi, theta checks |
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398 | // Each check modifies 'in', or returns as approprate |
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399 | |
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400 | EInside G4Sphere::Inside( const G4ThreeVector& p ) const |
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401 | { |
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402 | G4double rho,rho2,rad2,tolRMin,tolRMax; |
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403 | G4double pPhi,pTheta; |
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404 | EInside in = kOutside; |
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405 | static const G4double halfAngTolerance = kAngTolerance*0.5; |
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406 | const G4double halfRmaxTolerance = fRmaxTolerance*0.5; |
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407 | const G4double halfRminTolerance = fRminTolerance*0.5; |
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408 | const G4double Rmax_minus = fRmax - halfRmaxTolerance; |
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409 | const G4double Rmin_plus = (fRmin > 0) ? fRmin+halfRminTolerance : 0; |
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410 | |
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411 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
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412 | rad2 = rho2 + p.z()*p.z() ; |
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413 | |
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414 | // Check radial surfaces. Sets 'in' |
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415 | |
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416 | tolRMin = Rmin_plus; |
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417 | tolRMax = Rmax_minus; |
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418 | |
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419 | if ( (rad2 <= Rmax_minus*Rmax_minus) && (rad2 >= Rmin_plus*Rmin_plus) ) |
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420 | { |
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421 | in = kInside; |
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422 | } |
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423 | else |
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424 | { |
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425 | tolRMax = fRmax + halfRmaxTolerance; // outside case |
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426 | tolRMin = std::max(fRmin-halfRminTolerance, 0.); // outside case |
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427 | if ( (rad2 <= tolRMax*tolRMax) && (rad2 >= tolRMin*tolRMin) ) |
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428 | { |
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429 | in = kSurface; |
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430 | } |
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431 | else |
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432 | { |
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433 | return in = kOutside; |
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434 | } |
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435 | } |
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436 | |
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437 | // Phi boundaries : Do not check if it has no phi boundary! |
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438 | |
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439 | if ( !fFullPhiSphere && rho2 ) // [fDPhi < twopi] and [p.x or p.y] |
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440 | { |
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441 | pPhi = std::atan2(p.y(),p.x()) ; |
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442 | |
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443 | if ( pPhi < fSPhi - halfAngTolerance ) { pPhi += twopi; } |
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444 | else if ( pPhi > ePhi + halfAngTolerance ) { pPhi -= twopi; } |
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445 | |
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446 | if ( (pPhi < fSPhi - halfAngTolerance) |
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447 | || (pPhi > ePhi + halfAngTolerance) ) { return in = kOutside; } |
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448 | |
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449 | else if (in == kInside) // else it's kSurface anyway already |
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450 | { |
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451 | if ( (pPhi < fSPhi + halfAngTolerance) |
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452 | || (pPhi > ePhi - halfAngTolerance) ) { in = kSurface; } |
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453 | } |
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454 | } |
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455 | |
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456 | // Theta bondaries |
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457 | |
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458 | if ( (rho2 || p.z()) && (!fFullThetaSphere) ) |
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459 | { |
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460 | rho = std::sqrt(rho2); |
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461 | pTheta = std::atan2(rho,p.z()); |
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462 | |
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463 | if ( in == kInside ) |
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464 | { |
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465 | if ( (pTheta < fSTheta + halfAngTolerance) |
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466 | || (pTheta > eTheta - halfAngTolerance) ) |
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467 | { |
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468 | if ( (pTheta >= fSTheta - halfAngTolerance) |
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469 | && (pTheta <= eTheta + halfAngTolerance) ) |
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470 | { |
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471 | in = kSurface; |
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472 | } |
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473 | else |
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474 | { |
---|
475 | in = kOutside; |
---|
476 | } |
---|
477 | } |
---|
478 | } |
---|
479 | else |
---|
480 | { |
---|
481 | if ( (pTheta < fSTheta - halfAngTolerance) |
---|
482 | || (pTheta > eTheta + halfAngTolerance) ) |
---|
483 | { |
---|
484 | in = kOutside; |
---|
485 | } |
---|
486 | } |
---|
487 | } |
---|
488 | return in; |
---|
489 | } |
---|
490 | |
---|
491 | ///////////////////////////////////////////////////////////////////// |
---|
492 | // |
---|
493 | // Return unit normal of surface closest to p |
---|
494 | // - note if point on z axis, ignore phi divided sides |
---|
495 | // - unsafe if point close to z axis a rmin=0 - no explicit checks |
---|
496 | |
---|
497 | G4ThreeVector G4Sphere::SurfaceNormal( const G4ThreeVector& p ) const |
---|
498 | { |
---|
499 | G4int noSurfaces = 0; |
---|
500 | G4double rho, rho2, rad, pTheta, pPhi=0.; |
---|
501 | G4double distRMin = kInfinity; |
---|
502 | G4double distSPhi = kInfinity, distEPhi = kInfinity; |
---|
503 | G4double distSTheta = kInfinity, distETheta = kInfinity; |
---|
504 | G4ThreeVector nR, nPs, nPe, nTs, nTe, nZ(0.,0.,1.); |
---|
505 | G4ThreeVector norm, sumnorm(0.,0.,0.); |
---|
506 | |
---|
507 | static const G4double halfCarTolerance = 0.5*kCarTolerance; |
---|
508 | static const G4double halfAngTolerance = 0.5*kAngTolerance; |
---|
509 | |
---|
510 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
511 | rad = std::sqrt(rho2+p.z()*p.z()); |
---|
512 | rho = std::sqrt(rho2); |
---|
513 | |
---|
514 | G4double distRMax = std::fabs(rad-fRmax); |
---|
515 | if (fRmin) distRMin = std::fabs(rad-fRmin); |
---|
516 | |
---|
517 | if ( rho && !fFullSphere ) |
---|
518 | { |
---|
519 | pPhi = std::atan2(p.y(),p.x()); |
---|
520 | |
---|
521 | if (pPhi < fSPhi-halfAngTolerance) { pPhi += twopi; } |
---|
522 | else if (pPhi > ePhi+halfAngTolerance) { pPhi -= twopi; } |
---|
523 | } |
---|
524 | if ( !fFullPhiSphere ) |
---|
525 | { |
---|
526 | if ( rho ) |
---|
527 | { |
---|
528 | distSPhi = std::fabs( pPhi-fSPhi ); |
---|
529 | distEPhi = std::fabs( pPhi-ePhi ); |
---|
530 | } |
---|
531 | else if( !fRmin ) |
---|
532 | { |
---|
533 | distSPhi = 0.; |
---|
534 | distEPhi = 0.; |
---|
535 | } |
---|
536 | nPs = G4ThreeVector(sinSPhi,-cosSPhi,0); |
---|
537 | nPe = G4ThreeVector(-sinEPhi,cosEPhi,0); |
---|
538 | } |
---|
539 | if ( !fFullThetaSphere ) |
---|
540 | { |
---|
541 | if ( rho ) |
---|
542 | { |
---|
543 | pTheta = std::atan2(rho,p.z()); |
---|
544 | distSTheta = std::fabs(pTheta-fSTheta); |
---|
545 | distETheta = std::fabs(pTheta-eTheta); |
---|
546 | |
---|
547 | nTs = G4ThreeVector(-cosSTheta*p.x()/rho, |
---|
548 | -cosSTheta*p.y()/rho, |
---|
549 | sinSTheta ); |
---|
550 | |
---|
551 | nTe = G4ThreeVector( cosETheta*p.x()/rho, |
---|
552 | cosETheta*p.y()/rho, |
---|
553 | -sinETheta ); |
---|
554 | } |
---|
555 | else if( !fRmin ) |
---|
556 | { |
---|
557 | if ( fSTheta ) |
---|
558 | { |
---|
559 | distSTheta = 0.; |
---|
560 | nTs = G4ThreeVector(0.,0.,-1.); |
---|
561 | } |
---|
562 | if ( eTheta < pi ) |
---|
563 | { |
---|
564 | distETheta = 0.; |
---|
565 | nTe = G4ThreeVector(0.,0.,1.); |
---|
566 | } |
---|
567 | } |
---|
568 | } |
---|
569 | if( rad ) { nR = G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); } |
---|
570 | |
---|
571 | if( distRMax <= halfCarTolerance ) |
---|
572 | { |
---|
573 | noSurfaces ++; |
---|
574 | sumnorm += nR; |
---|
575 | } |
---|
576 | if( fRmin && (distRMin <= halfCarTolerance) ) |
---|
577 | { |
---|
578 | noSurfaces ++; |
---|
579 | sumnorm -= nR; |
---|
580 | } |
---|
581 | if( !fFullPhiSphere ) |
---|
582 | { |
---|
583 | if (distSPhi <= halfAngTolerance) |
---|
584 | { |
---|
585 | noSurfaces ++; |
---|
586 | sumnorm += nPs; |
---|
587 | } |
---|
588 | if (distEPhi <= halfAngTolerance) |
---|
589 | { |
---|
590 | noSurfaces ++; |
---|
591 | sumnorm += nPe; |
---|
592 | } |
---|
593 | } |
---|
594 | if ( !fFullThetaSphere ) |
---|
595 | { |
---|
596 | if ((distSTheta <= halfAngTolerance) && (fSTheta > 0.)) |
---|
597 | { |
---|
598 | noSurfaces ++; |
---|
599 | if ((rad <= halfCarTolerance) && fFullPhiSphere) { sumnorm += nZ; } |
---|
600 | else { sumnorm += nTs; } |
---|
601 | } |
---|
602 | if ((distETheta <= halfAngTolerance) && (eTheta < pi)) |
---|
603 | { |
---|
604 | noSurfaces ++; |
---|
605 | if ((rad <= halfCarTolerance) && fFullPhiSphere) { sumnorm -= nZ; } |
---|
606 | else { sumnorm += nTe; } |
---|
607 | if(sumnorm.z() == 0.) { sumnorm += nZ; } |
---|
608 | } |
---|
609 | } |
---|
610 | if ( noSurfaces == 0 ) |
---|
611 | { |
---|
612 | #ifdef G4CSGDEBUG |
---|
613 | G4Exception("G4Sphere::SurfaceNormal(p)", "Notification", JustWarning, |
---|
614 | "Point p is not on surface !?" ); |
---|
615 | #endif |
---|
616 | norm = ApproxSurfaceNormal(p); |
---|
617 | } |
---|
618 | else if ( noSurfaces == 1 ) { norm = sumnorm; } |
---|
619 | else { norm = sumnorm.unit(); } |
---|
620 | return norm; |
---|
621 | } |
---|
622 | |
---|
623 | |
---|
624 | ///////////////////////////////////////////////////////////////////////////////////////////// |
---|
625 | // |
---|
626 | // Algorithm for SurfaceNormal() following the original specification |
---|
627 | // for points not on the surface |
---|
628 | |
---|
629 | G4ThreeVector G4Sphere::ApproxSurfaceNormal( const G4ThreeVector& p ) const |
---|
630 | { |
---|
631 | ENorm side; |
---|
632 | G4ThreeVector norm; |
---|
633 | G4double rho,rho2,rad,pPhi,pTheta; |
---|
634 | G4double distRMin,distRMax,distSPhi,distEPhi, |
---|
635 | distSTheta,distETheta,distMin; |
---|
636 | |
---|
637 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
638 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
639 | rho=std::sqrt(rho2); |
---|
640 | |
---|
641 | // |
---|
642 | // Distance to r shells |
---|
643 | // |
---|
644 | |
---|
645 | distRMax=std::fabs(rad-fRmax); |
---|
646 | if (fRmin) |
---|
647 | { |
---|
648 | distRMin=std::fabs(rad-fRmin); |
---|
649 | |
---|
650 | if (distRMin<distRMax) |
---|
651 | { |
---|
652 | distMin=distRMin; |
---|
653 | side=kNRMin; |
---|
654 | } |
---|
655 | else |
---|
656 | { |
---|
657 | distMin=distRMax; |
---|
658 | side=kNRMax; |
---|
659 | } |
---|
660 | } |
---|
661 | else |
---|
662 | { |
---|
663 | distMin=distRMax; |
---|
664 | side=kNRMax; |
---|
665 | } |
---|
666 | |
---|
667 | // |
---|
668 | // Distance to phi planes |
---|
669 | // |
---|
670 | // Protected against (0,0,z) |
---|
671 | |
---|
672 | pPhi = std::atan2(p.y(),p.x()); |
---|
673 | if (pPhi<0) { pPhi += twopi; } |
---|
674 | |
---|
675 | if (!fFullPhiSphere && rho) |
---|
676 | { |
---|
677 | if (fSPhi<0) |
---|
678 | { |
---|
679 | distSPhi=std::fabs(pPhi-(fSPhi+twopi))*rho; |
---|
680 | } |
---|
681 | else |
---|
682 | { |
---|
683 | distSPhi=std::fabs(pPhi-fSPhi)*rho; |
---|
684 | } |
---|
685 | |
---|
686 | distEPhi=std::fabs(pPhi-fSPhi-fDPhi)*rho; |
---|
687 | |
---|
688 | // Find new minimum |
---|
689 | // |
---|
690 | if (distSPhi<distEPhi) |
---|
691 | { |
---|
692 | if (distSPhi<distMin) |
---|
693 | { |
---|
694 | distMin=distSPhi; |
---|
695 | side=kNSPhi; |
---|
696 | } |
---|
697 | } |
---|
698 | else |
---|
699 | { |
---|
700 | if (distEPhi<distMin) |
---|
701 | { |
---|
702 | distMin=distEPhi; |
---|
703 | side=kNEPhi; |
---|
704 | } |
---|
705 | } |
---|
706 | } |
---|
707 | |
---|
708 | // |
---|
709 | // Distance to theta planes |
---|
710 | // |
---|
711 | |
---|
712 | if (!fFullThetaSphere && rad) |
---|
713 | { |
---|
714 | pTheta=std::atan2(rho,p.z()); |
---|
715 | distSTheta=std::fabs(pTheta-fSTheta)*rad; |
---|
716 | distETheta=std::fabs(pTheta-fSTheta-fDTheta)*rad; |
---|
717 | |
---|
718 | // Find new minimum |
---|
719 | // |
---|
720 | if (distSTheta<distETheta) |
---|
721 | { |
---|
722 | if (distSTheta<distMin) |
---|
723 | { |
---|
724 | distMin = distSTheta ; |
---|
725 | side = kNSTheta ; |
---|
726 | } |
---|
727 | } |
---|
728 | else |
---|
729 | { |
---|
730 | if (distETheta<distMin) |
---|
731 | { |
---|
732 | distMin = distETheta ; |
---|
733 | side = kNETheta ; |
---|
734 | } |
---|
735 | } |
---|
736 | } |
---|
737 | |
---|
738 | switch (side) |
---|
739 | { |
---|
740 | case kNRMin: // Inner radius |
---|
741 | norm=G4ThreeVector(-p.x()/rad,-p.y()/rad,-p.z()/rad); |
---|
742 | break; |
---|
743 | case kNRMax: // Outer radius |
---|
744 | norm=G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); |
---|
745 | break; |
---|
746 | case kNSPhi: |
---|
747 | norm=G4ThreeVector(sinSPhi,-cosSPhi,0); |
---|
748 | break; |
---|
749 | case kNEPhi: |
---|
750 | norm=G4ThreeVector(-sinEPhi,cosEPhi,0); |
---|
751 | break; |
---|
752 | case kNSTheta: |
---|
753 | norm=G4ThreeVector(-cosSTheta*std::cos(pPhi), |
---|
754 | -cosSTheta*std::sin(pPhi), |
---|
755 | sinSTheta ); |
---|
756 | break; |
---|
757 | case kNETheta: |
---|
758 | norm=G4ThreeVector( cosETheta*std::cos(pPhi), |
---|
759 | cosETheta*std::sin(pPhi), |
---|
760 | -sinETheta ); |
---|
761 | break; |
---|
762 | default: |
---|
763 | DumpInfo(); |
---|
764 | G4Exception("G4Sphere::ApproxSurfaceNormal()","Notification",JustWarning, |
---|
765 | "Undefined side for valid surface normal to solid."); |
---|
766 | break; |
---|
767 | } |
---|
768 | |
---|
769 | return norm; |
---|
770 | } |
---|
771 | |
---|
772 | /////////////////////////////////////////////////////////////////////////////// |
---|
773 | // |
---|
774 | // Calculate distance to shape from outside, along normalised vector |
---|
775 | // - return kInfinity if no intersection, or intersection distance <= tolerance |
---|
776 | // |
---|
777 | // -> If point is outside outer radius, compute intersection with rmax |
---|
778 | // - if no intersection return |
---|
779 | // - if valid phi,theta return intersection Dist |
---|
780 | // |
---|
781 | // -> If shell, compute intersection with inner radius, taking largest +ve root |
---|
782 | // - if valid phi,theta, save intersection |
---|
783 | // |
---|
784 | // -> If phi segmented, compute intersection with phi half planes |
---|
785 | // - if valid intersection(r,theta), return smallest intersection of |
---|
786 | // inner shell & phi intersection |
---|
787 | // |
---|
788 | // -> If theta segmented, compute intersection with theta cones |
---|
789 | // - if valid intersection(r,phi), return smallest intersection of |
---|
790 | // inner shell & theta intersection |
---|
791 | // |
---|
792 | // |
---|
793 | // NOTE: |
---|
794 | // - `if valid' (above) implies tolerant checking of intersection points |
---|
795 | // |
---|
796 | // OPT: |
---|
797 | // Move tolIO/ORmin/RMax2 precalcs to where they are needed - |
---|
798 | // not required for most cases. |
---|
799 | // Avoid atan2 for non theta cut G4Sphere. |
---|
800 | |
---|
801 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p, |
---|
802 | const G4ThreeVector& v ) const |
---|
803 | { |
---|
804 | G4double snxt = kInfinity ; // snxt = default return value |
---|
805 | G4double rho2, rad2, pDotV2d, pDotV3d, pTheta ; |
---|
806 | G4double tolSTheta=0., tolETheta=0. ; |
---|
807 | const G4double dRmax = 100.*fRmax; |
---|
808 | |
---|
809 | static const G4double halfCarTolerance = kCarTolerance*0.5; |
---|
810 | static const G4double halfAngTolerance = kAngTolerance*0.5; |
---|
811 | const G4double halfRmaxTolerance = fRmaxTolerance*0.5; |
---|
812 | const G4double halfRminTolerance = fRminTolerance*0.5; |
---|
813 | const G4double tolORMin2 = (fRmin>halfRminTolerance) |
---|
814 | ? (fRmin-halfRminTolerance)*(fRmin-halfRminTolerance) : 0; |
---|
815 | const G4double tolIRMin2 = |
---|
816 | (fRmin+halfRminTolerance)*(fRmin+halfRminTolerance); |
---|
817 | const G4double tolORMax2 = |
---|
818 | (fRmax+halfRmaxTolerance)*(fRmax+halfRmaxTolerance); |
---|
819 | const G4double tolIRMax2 = |
---|
820 | (fRmax-halfRmaxTolerance)*(fRmax-halfRmaxTolerance); |
---|
821 | |
---|
822 | // Intersection point |
---|
823 | // |
---|
824 | G4double xi, yi, zi, rhoi, rhoi2, radi2, iTheta ; |
---|
825 | |
---|
826 | // Phi intersection |
---|
827 | // |
---|
828 | G4double Comp ; |
---|
829 | |
---|
830 | // Phi precalcs |
---|
831 | // |
---|
832 | G4double Dist, cosPsi ; |
---|
833 | |
---|
834 | // Theta precalcs |
---|
835 | // |
---|
836 | G4double dist2STheta, dist2ETheta ; |
---|
837 | G4double t1, t2, b, c, d2, d, s = kInfinity ; |
---|
838 | |
---|
839 | // General Precalcs |
---|
840 | // |
---|
841 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
---|
842 | rad2 = rho2 + p.z()*p.z() ; |
---|
843 | pTheta = std::atan2(std::sqrt(rho2),p.z()) ; |
---|
844 | |
---|
845 | pDotV2d = p.x()*v.x() + p.y()*v.y() ; |
---|
846 | pDotV3d = pDotV2d + p.z()*v.z() ; |
---|
847 | |
---|
848 | // Theta precalcs |
---|
849 | // |
---|
850 | if (!fFullThetaSphere) |
---|
851 | { |
---|
852 | tolSTheta = fSTheta - halfAngTolerance ; |
---|
853 | tolETheta = eTheta + halfAngTolerance ; |
---|
854 | } |
---|
855 | |
---|
856 | // Outer spherical shell intersection |
---|
857 | // - Only if outside tolerant fRmax |
---|
858 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
859 | // - No intersect -> no intersection with G4Sphere |
---|
860 | // |
---|
861 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
862 | // |
---|
863 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
864 | // |
---|
865 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
866 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
867 | // |
---|
868 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
869 | |
---|
870 | c = rad2 - fRmax*fRmax ; |
---|
871 | |
---|
872 | if (c > fRmaxTolerance*fRmax) |
---|
873 | { |
---|
874 | // If outside tolerant boundary of outer G4Sphere |
---|
875 | // [should be std::sqrt(rad2)-fRmax > halfRmaxTolerance] |
---|
876 | |
---|
877 | d2 = pDotV3d*pDotV3d - c ; |
---|
878 | |
---|
879 | if ( d2 >= 0 ) |
---|
880 | { |
---|
881 | s = -pDotV3d - std::sqrt(d2) ; |
---|
882 | |
---|
883 | if (s >= 0 ) |
---|
884 | { |
---|
885 | if ( s>dRmax ) // Avoid rounding errors due to precision issues seen on |
---|
886 | { // 64 bits systems. Split long distances and recompute |
---|
887 | G4double fTerm = s-std::fmod(s,dRmax); |
---|
888 | s = fTerm + DistanceToIn(p+fTerm*v,v); |
---|
889 | } |
---|
890 | xi = p.x() + s*v.x() ; |
---|
891 | yi = p.y() + s*v.y() ; |
---|
892 | rhoi = std::sqrt(xi*xi + yi*yi) ; |
---|
893 | |
---|
894 | if (!fFullPhiSphere && rhoi) // Check phi intersection |
---|
895 | { |
---|
896 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
897 | |
---|
898 | if (cosPsi >= cosHDPhiOT) |
---|
899 | { |
---|
900 | if (!fFullThetaSphere) // Check theta intersection |
---|
901 | { |
---|
902 | zi = p.z() + s*v.z() ; |
---|
903 | |
---|
904 | // rhoi & zi can never both be 0 |
---|
905 | // (=>intersect at origin =>fRmax=0) |
---|
906 | // |
---|
907 | iTheta = std::atan2(rhoi,zi) ; |
---|
908 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
909 | { |
---|
910 | return snxt = s ; |
---|
911 | } |
---|
912 | } |
---|
913 | else |
---|
914 | { |
---|
915 | return snxt=s; |
---|
916 | } |
---|
917 | } |
---|
918 | } |
---|
919 | else |
---|
920 | { |
---|
921 | if (!fFullThetaSphere) // Check theta intersection |
---|
922 | { |
---|
923 | zi = p.z() + s*v.z() ; |
---|
924 | |
---|
925 | // rhoi & zi can never both be 0 |
---|
926 | // (=>intersect at origin => fRmax=0 !) |
---|
927 | // |
---|
928 | iTheta = std::atan2(rhoi,zi) ; |
---|
929 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
930 | { |
---|
931 | return snxt=s; |
---|
932 | } |
---|
933 | } |
---|
934 | else |
---|
935 | { |
---|
936 | return snxt = s ; |
---|
937 | } |
---|
938 | } |
---|
939 | } |
---|
940 | } |
---|
941 | else // No intersection with G4Sphere |
---|
942 | { |
---|
943 | return snxt=kInfinity; |
---|
944 | } |
---|
945 | } |
---|
946 | else |
---|
947 | { |
---|
948 | // Inside outer radius |
---|
949 | // check not inside, and heading through G4Sphere (-> 0 to in) |
---|
950 | |
---|
951 | d2 = pDotV3d*pDotV3d - c ; |
---|
952 | |
---|
953 | if ( (rad2 > tolIRMax2) |
---|
954 | && ( (d2 >= fRmaxTolerance*fRmax) && (pDotV3d < 0) ) ) |
---|
955 | { |
---|
956 | if (!fFullPhiSphere) |
---|
957 | { |
---|
958 | // Use inner phi tolerant boundary -> if on tolerant |
---|
959 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
960 | |
---|
961 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
962 | |
---|
963 | if (cosPsi>=cosHDPhiIT) |
---|
964 | { |
---|
965 | // inside radii, delta r -ve, inside phi |
---|
966 | |
---|
967 | if ( !fFullThetaSphere ) |
---|
968 | { |
---|
969 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
970 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
971 | { |
---|
972 | return snxt=0; |
---|
973 | } |
---|
974 | } |
---|
975 | else // strictly inside Theta in both cases |
---|
976 | { |
---|
977 | return snxt=0; |
---|
978 | } |
---|
979 | } |
---|
980 | } |
---|
981 | else |
---|
982 | { |
---|
983 | if ( !fFullThetaSphere ) |
---|
984 | { |
---|
985 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
986 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
987 | { |
---|
988 | return snxt=0; |
---|
989 | } |
---|
990 | } |
---|
991 | else // strictly inside Theta in both cases |
---|
992 | { |
---|
993 | return snxt=0; |
---|
994 | } |
---|
995 | } |
---|
996 | } |
---|
997 | } |
---|
998 | |
---|
999 | // Inner spherical shell intersection |
---|
1000 | // - Always farthest root, because would have passed through outer |
---|
1001 | // surface first. |
---|
1002 | // - Tolerant check if travelling through solid |
---|
1003 | |
---|
1004 | if (fRmin) |
---|
1005 | { |
---|
1006 | c = rad2 - fRmin*fRmin ; |
---|
1007 | d2 = pDotV3d*pDotV3d - c ; |
---|
1008 | |
---|
1009 | // Within tolerance inner radius of inner G4Sphere |
---|
1010 | // Check for immediate entry/already inside and travelling outwards |
---|
1011 | |
---|
1012 | if ( (c > -halfRminTolerance) && (rad2 < tolIRMin2) |
---|
1013 | && ( (d2 < fRmin*kCarTolerance) || (pDotV3d >= 0) ) ) |
---|
1014 | { |
---|
1015 | if ( !fFullPhiSphere ) |
---|
1016 | { |
---|
1017 | // Use inner phi tolerant boundary -> if on tolerant |
---|
1018 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
1019 | |
---|
1020 | cosPsi = (p.x()*cosCPhi+p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1021 | if (cosPsi >= cosHDPhiIT) |
---|
1022 | { |
---|
1023 | // inside radii, delta r -ve, inside phi |
---|
1024 | // |
---|
1025 | if ( !fFullThetaSphere ) |
---|
1026 | { |
---|
1027 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
1028 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
1029 | { |
---|
1030 | return snxt=0; |
---|
1031 | } |
---|
1032 | } |
---|
1033 | else |
---|
1034 | { |
---|
1035 | return snxt = 0 ; |
---|
1036 | } |
---|
1037 | } |
---|
1038 | } |
---|
1039 | else |
---|
1040 | { |
---|
1041 | if ( !fFullThetaSphere ) |
---|
1042 | { |
---|
1043 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
1044 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
1045 | { |
---|
1046 | return snxt = 0 ; |
---|
1047 | } |
---|
1048 | } |
---|
1049 | else |
---|
1050 | { |
---|
1051 | return snxt=0; |
---|
1052 | } |
---|
1053 | } |
---|
1054 | } |
---|
1055 | else // Not special tolerant case |
---|
1056 | { |
---|
1057 | if (d2 >= 0) |
---|
1058 | { |
---|
1059 | s = -pDotV3d + std::sqrt(d2) ; |
---|
1060 | if ( s >= halfRminTolerance ) // It was >= 0 ?? |
---|
1061 | { |
---|
1062 | xi = p.x() + s*v.x() ; |
---|
1063 | yi = p.y() + s*v.y() ; |
---|
1064 | rhoi = std::sqrt(xi*xi+yi*yi) ; |
---|
1065 | |
---|
1066 | if ( !fFullPhiSphere && rhoi ) // Check phi intersection |
---|
1067 | { |
---|
1068 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
1069 | |
---|
1070 | if (cosPsi >= cosHDPhiOT) |
---|
1071 | { |
---|
1072 | if ( !fFullThetaSphere ) // Check theta intersection |
---|
1073 | { |
---|
1074 | zi = p.z() + s*v.z() ; |
---|
1075 | |
---|
1076 | // rhoi & zi can never both be 0 |
---|
1077 | // (=>intersect at origin =>fRmax=0) |
---|
1078 | // |
---|
1079 | iTheta = std::atan2(rhoi,zi) ; |
---|
1080 | if ( (iTheta >= tolSTheta) && (iTheta<=tolETheta) ) |
---|
1081 | { |
---|
1082 | snxt = s ; |
---|
1083 | } |
---|
1084 | } |
---|
1085 | else |
---|
1086 | { |
---|
1087 | snxt=s; |
---|
1088 | } |
---|
1089 | } |
---|
1090 | } |
---|
1091 | else |
---|
1092 | { |
---|
1093 | if ( !fFullThetaSphere ) // Check theta intersection |
---|
1094 | { |
---|
1095 | zi = p.z() + s*v.z() ; |
---|
1096 | |
---|
1097 | // rhoi & zi can never both be 0 |
---|
1098 | // (=>intersect at origin => fRmax=0 !) |
---|
1099 | // |
---|
1100 | iTheta = std::atan2(rhoi,zi) ; |
---|
1101 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1102 | { |
---|
1103 | snxt = s; |
---|
1104 | } |
---|
1105 | } |
---|
1106 | else |
---|
1107 | { |
---|
1108 | snxt = s; |
---|
1109 | } |
---|
1110 | } |
---|
1111 | } |
---|
1112 | } |
---|
1113 | } |
---|
1114 | } |
---|
1115 | |
---|
1116 | // Phi segment intersection |
---|
1117 | // |
---|
1118 | // o Tolerant of points inside phi planes by up to kCarTolerance*0.5 |
---|
1119 | // |
---|
1120 | // o NOTE: Large duplication of code between sphi & ephi checks |
---|
1121 | // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane |
---|
1122 | // intersection check <=0 -> >=0 |
---|
1123 | // -> Should use some form of loop Construct |
---|
1124 | // |
---|
1125 | if ( !fFullPhiSphere ) |
---|
1126 | { |
---|
1127 | // First phi surface ('S'tarting phi) |
---|
1128 | // Comp = Component in outwards normal dirn |
---|
1129 | // |
---|
1130 | Comp = v.x()*sinSPhi - v.y()*cosSPhi ; |
---|
1131 | |
---|
1132 | if ( Comp < 0 ) |
---|
1133 | { |
---|
1134 | Dist = p.y()*cosSPhi - p.x()*sinSPhi ; |
---|
1135 | |
---|
1136 | if (Dist < halfCarTolerance) |
---|
1137 | { |
---|
1138 | s = Dist/Comp ; |
---|
1139 | |
---|
1140 | if (s < snxt) |
---|
1141 | { |
---|
1142 | if ( s > 0 ) |
---|
1143 | { |
---|
1144 | xi = p.x() + s*v.x() ; |
---|
1145 | yi = p.y() + s*v.y() ; |
---|
1146 | zi = p.z() + s*v.z() ; |
---|
1147 | rhoi2 = xi*xi + yi*yi ; |
---|
1148 | radi2 = rhoi2 + zi*zi ; |
---|
1149 | } |
---|
1150 | else |
---|
1151 | { |
---|
1152 | s = 0 ; |
---|
1153 | xi = p.x() ; |
---|
1154 | yi = p.y() ; |
---|
1155 | zi = p.z() ; |
---|
1156 | rhoi2 = rho2 ; |
---|
1157 | radi2 = rad2 ; |
---|
1158 | } |
---|
1159 | if ( (radi2 <= tolORMax2) |
---|
1160 | && (radi2 >= tolORMin2) |
---|
1161 | && ((yi*cosCPhi-xi*sinCPhi) <= 0) ) |
---|
1162 | { |
---|
1163 | // Check theta intersection |
---|
1164 | // rhoi & zi can never both be 0 |
---|
1165 | // (=>intersect at origin =>fRmax=0) |
---|
1166 | // |
---|
1167 | if ( !fFullThetaSphere ) |
---|
1168 | { |
---|
1169 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
1170 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1171 | { |
---|
1172 | // r and theta intersections good |
---|
1173 | // - check intersecting with correct half-plane |
---|
1174 | |
---|
1175 | if ((yi*cosCPhi-xi*sinCPhi) <= 0) |
---|
1176 | { |
---|
1177 | snxt = s ; |
---|
1178 | } |
---|
1179 | } |
---|
1180 | } |
---|
1181 | else |
---|
1182 | { |
---|
1183 | snxt = s ; |
---|
1184 | } |
---|
1185 | } |
---|
1186 | } |
---|
1187 | } |
---|
1188 | } |
---|
1189 | |
---|
1190 | // Second phi surface ('E'nding phi) |
---|
1191 | // Component in outwards normal dirn |
---|
1192 | |
---|
1193 | Comp = -( v.x()*sinEPhi-v.y()*cosEPhi ) ; |
---|
1194 | |
---|
1195 | if (Comp < 0) |
---|
1196 | { |
---|
1197 | Dist = -(p.y()*cosEPhi-p.x()*sinEPhi) ; |
---|
1198 | if ( Dist < halfCarTolerance ) |
---|
1199 | { |
---|
1200 | s = Dist/Comp ; |
---|
1201 | |
---|
1202 | if ( s < snxt ) |
---|
1203 | { |
---|
1204 | if (s > 0) |
---|
1205 | { |
---|
1206 | xi = p.x() + s*v.x() ; |
---|
1207 | yi = p.y() + s*v.y() ; |
---|
1208 | zi = p.z() + s*v.z() ; |
---|
1209 | rhoi2 = xi*xi + yi*yi ; |
---|
1210 | radi2 = rhoi2 + zi*zi ; |
---|
1211 | } |
---|
1212 | else |
---|
1213 | { |
---|
1214 | s = 0 ; |
---|
1215 | xi = p.x() ; |
---|
1216 | yi = p.y() ; |
---|
1217 | zi = p.z() ; |
---|
1218 | rhoi2 = rho2 ; |
---|
1219 | radi2 = rad2 ; |
---|
1220 | } |
---|
1221 | if ( (radi2 <= tolORMax2) |
---|
1222 | && (radi2 >= tolORMin2) |
---|
1223 | && ((yi*cosCPhi-xi*sinCPhi) >= 0) ) |
---|
1224 | { |
---|
1225 | // Check theta intersection |
---|
1226 | // rhoi & zi can never both be 0 |
---|
1227 | // (=>intersect at origin =>fRmax=0) |
---|
1228 | // |
---|
1229 | if ( !fFullThetaSphere ) |
---|
1230 | { |
---|
1231 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
1232 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1233 | { |
---|
1234 | // r and theta intersections good |
---|
1235 | // - check intersecting with correct half-plane |
---|
1236 | |
---|
1237 | if ((yi*cosCPhi-xi*sinCPhi) >= 0) |
---|
1238 | { |
---|
1239 | snxt = s ; |
---|
1240 | } |
---|
1241 | } |
---|
1242 | } |
---|
1243 | else |
---|
1244 | { |
---|
1245 | snxt = s ; |
---|
1246 | } |
---|
1247 | } |
---|
1248 | } |
---|
1249 | } |
---|
1250 | } |
---|
1251 | } |
---|
1252 | |
---|
1253 | // Theta segment intersection |
---|
1254 | |
---|
1255 | if ( !fFullThetaSphere ) |
---|
1256 | { |
---|
1257 | |
---|
1258 | // Intersection with theta surfaces |
---|
1259 | // Known failure cases: |
---|
1260 | // o Inside tolerance of stheta surface, skim |
---|
1261 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
1262 | // |
---|
1263 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
1264 | // |
---|
1265 | // o start/end theta is exactly pi/2 |
---|
1266 | // Intersections with cones |
---|
1267 | // |
---|
1268 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
1269 | // |
---|
1270 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
1271 | // |
---|
1272 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
1273 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
1274 | // |
---|
1275 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
1276 | |
---|
1277 | if (fSTheta) |
---|
1278 | { |
---|
1279 | dist2STheta = rho2 - p.z()*p.z()*tanSTheta2 ; |
---|
1280 | } |
---|
1281 | else |
---|
1282 | { |
---|
1283 | dist2STheta = kInfinity ; |
---|
1284 | } |
---|
1285 | if ( eTheta < pi ) |
---|
1286 | { |
---|
1287 | dist2ETheta=rho2-p.z()*p.z()*tanETheta2; |
---|
1288 | } |
---|
1289 | else |
---|
1290 | { |
---|
1291 | dist2ETheta=kInfinity; |
---|
1292 | } |
---|
1293 | if ( pTheta < tolSTheta ) |
---|
1294 | { |
---|
1295 | // Inside (theta<stheta-tol) s theta cone |
---|
1296 | // First root of stheta cone, second if first root -ve |
---|
1297 | |
---|
1298 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1299 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1300 | if (t1) |
---|
1301 | { |
---|
1302 | b = t2/t1 ; |
---|
1303 | c = dist2STheta/t1 ; |
---|
1304 | d2 = b*b - c ; |
---|
1305 | |
---|
1306 | if ( d2 >= 0 ) |
---|
1307 | { |
---|
1308 | d = std::sqrt(d2) ; |
---|
1309 | s = -b - d ; // First root |
---|
1310 | zi = p.z() + s*v.z(); |
---|
1311 | |
---|
1312 | if ( (s < 0) || (zi*(fSTheta - halfpi) > 0) ) |
---|
1313 | { |
---|
1314 | s = -b+d; // Second root |
---|
1315 | } |
---|
1316 | if ((s >= 0) && (s < snxt)) |
---|
1317 | { |
---|
1318 | xi = p.x() + s*v.x(); |
---|
1319 | yi = p.y() + s*v.y(); |
---|
1320 | zi = p.z() + s*v.z(); |
---|
1321 | rhoi2 = xi*xi + yi*yi; |
---|
1322 | radi2 = rhoi2 + zi*zi; |
---|
1323 | if ( (radi2 <= tolORMax2) |
---|
1324 | && (radi2 >= tolORMin2) |
---|
1325 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1326 | { |
---|
1327 | if ( !fFullPhiSphere && rhoi2 ) // Check phi intersection |
---|
1328 | { |
---|
1329 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1330 | if (cosPsi >= cosHDPhiOT) |
---|
1331 | { |
---|
1332 | snxt = s ; |
---|
1333 | } |
---|
1334 | } |
---|
1335 | else |
---|
1336 | { |
---|
1337 | snxt = s ; |
---|
1338 | } |
---|
1339 | } |
---|
1340 | } |
---|
1341 | } |
---|
1342 | } |
---|
1343 | |
---|
1344 | // Possible intersection with ETheta cone. |
---|
1345 | // Second >= 0 root should be considered |
---|
1346 | |
---|
1347 | if ( eTheta < pi ) |
---|
1348 | { |
---|
1349 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1350 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1351 | if (t1) |
---|
1352 | { |
---|
1353 | b = t2/t1 ; |
---|
1354 | c = dist2ETheta/t1 ; |
---|
1355 | d2 = b*b - c ; |
---|
1356 | |
---|
1357 | if (d2 >= 0) |
---|
1358 | { |
---|
1359 | d = std::sqrt(d2) ; |
---|
1360 | s = -b + d ; // Second root |
---|
1361 | |
---|
1362 | if ( (s >= 0) && (s < snxt) ) |
---|
1363 | { |
---|
1364 | xi = p.x() + s*v.x() ; |
---|
1365 | yi = p.y() + s*v.y() ; |
---|
1366 | zi = p.z() + s*v.z() ; |
---|
1367 | rhoi2 = xi*xi + yi*yi ; |
---|
1368 | radi2 = rhoi2 + zi*zi ; |
---|
1369 | |
---|
1370 | if ( (radi2 <= tolORMax2) |
---|
1371 | && (radi2 >= tolORMin2) |
---|
1372 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
1373 | { |
---|
1374 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
1375 | { |
---|
1376 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1377 | if (cosPsi >= cosHDPhiOT) |
---|
1378 | { |
---|
1379 | snxt = s ; |
---|
1380 | } |
---|
1381 | } |
---|
1382 | else |
---|
1383 | { |
---|
1384 | snxt = s ; |
---|
1385 | } |
---|
1386 | } |
---|
1387 | } |
---|
1388 | } |
---|
1389 | } |
---|
1390 | } |
---|
1391 | } |
---|
1392 | else if ( pTheta > tolETheta ) |
---|
1393 | { |
---|
1394 | // dist2ETheta<-kRadTolerance*0.5 && dist2STheta>0) |
---|
1395 | // Inside (theta > etheta+tol) e-theta cone |
---|
1396 | // First root of etheta cone, second if first root 'imaginary' |
---|
1397 | |
---|
1398 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1399 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1400 | if (t1) |
---|
1401 | { |
---|
1402 | b = t2/t1 ; |
---|
1403 | c = dist2ETheta/t1 ; |
---|
1404 | d2 = b*b - c ; |
---|
1405 | |
---|
1406 | if (d2 >= 0) |
---|
1407 | { |
---|
1408 | d = std::sqrt(d2) ; |
---|
1409 | s = -b - d ; // First root |
---|
1410 | zi = p.z() + s*v.z(); |
---|
1411 | |
---|
1412 | if ( (s < 0) || (zi*(eTheta - halfpi) > 0) ) |
---|
1413 | { |
---|
1414 | s = -b + d ; // second root |
---|
1415 | } |
---|
1416 | if ( (s >= 0) && (s < snxt) ) |
---|
1417 | { |
---|
1418 | xi = p.x() + s*v.x() ; |
---|
1419 | yi = p.y() + s*v.y() ; |
---|
1420 | zi = p.z() + s*v.z() ; |
---|
1421 | rhoi2 = xi*xi + yi*yi ; |
---|
1422 | radi2 = rhoi2 + zi*zi ; |
---|
1423 | |
---|
1424 | if ( (radi2 <= tolORMax2) |
---|
1425 | && (radi2 >= tolORMin2) |
---|
1426 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
1427 | { |
---|
1428 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
1429 | { |
---|
1430 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1431 | if (cosPsi >= cosHDPhiOT) |
---|
1432 | { |
---|
1433 | snxt = s ; |
---|
1434 | } |
---|
1435 | } |
---|
1436 | else |
---|
1437 | { |
---|
1438 | snxt = s ; |
---|
1439 | } |
---|
1440 | } |
---|
1441 | } |
---|
1442 | } |
---|
1443 | } |
---|
1444 | |
---|
1445 | // Possible intersection with STheta cone. |
---|
1446 | // Second >= 0 root should be considered |
---|
1447 | |
---|
1448 | if ( fSTheta ) |
---|
1449 | { |
---|
1450 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1451 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1452 | if (t1) |
---|
1453 | { |
---|
1454 | b = t2/t1 ; |
---|
1455 | c = dist2STheta/t1 ; |
---|
1456 | d2 = b*b - c ; |
---|
1457 | |
---|
1458 | if (d2 >= 0) |
---|
1459 | { |
---|
1460 | d = std::sqrt(d2) ; |
---|
1461 | s = -b + d ; // Second root |
---|
1462 | |
---|
1463 | if ( (s >= 0) && (s < snxt) ) |
---|
1464 | { |
---|
1465 | xi = p.x() + s*v.x() ; |
---|
1466 | yi = p.y() + s*v.y() ; |
---|
1467 | zi = p.z() + s*v.z() ; |
---|
1468 | rhoi2 = xi*xi + yi*yi ; |
---|
1469 | radi2 = rhoi2 + zi*zi ; |
---|
1470 | |
---|
1471 | if ( (radi2 <= tolORMax2) |
---|
1472 | && (radi2 >= tolORMin2) |
---|
1473 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1474 | { |
---|
1475 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
1476 | { |
---|
1477 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1478 | if (cosPsi >= cosHDPhiOT) |
---|
1479 | { |
---|
1480 | snxt = s ; |
---|
1481 | } |
---|
1482 | } |
---|
1483 | else |
---|
1484 | { |
---|
1485 | snxt = s ; |
---|
1486 | } |
---|
1487 | } |
---|
1488 | } |
---|
1489 | } |
---|
1490 | } |
---|
1491 | } |
---|
1492 | } |
---|
1493 | else if ( (pTheta < tolSTheta + kAngTolerance) |
---|
1494 | && (fSTheta > halfAngTolerance) ) |
---|
1495 | { |
---|
1496 | // In tolerance of stheta |
---|
1497 | // If entering through solid [r,phi] => 0 to in |
---|
1498 | // else try 2nd root |
---|
1499 | |
---|
1500 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1501 | if ( (t2>=0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta<halfpi) |
---|
1502 | || (t2<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta>halfpi) |
---|
1503 | || (v.z()<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta==halfpi) ) |
---|
1504 | { |
---|
1505 | if (!fFullPhiSphere && rho2) // Check phi intersection |
---|
1506 | { |
---|
1507 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1508 | if (cosPsi >= cosHDPhiIT) |
---|
1509 | { |
---|
1510 | return 0 ; |
---|
1511 | } |
---|
1512 | } |
---|
1513 | else |
---|
1514 | { |
---|
1515 | return 0 ; |
---|
1516 | } |
---|
1517 | } |
---|
1518 | |
---|
1519 | // Not entering immediately/travelling through |
---|
1520 | |
---|
1521 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1522 | if (t1) |
---|
1523 | { |
---|
1524 | b = t2/t1 ; |
---|
1525 | c = dist2STheta/t1 ; |
---|
1526 | d2 = b*b - c ; |
---|
1527 | |
---|
1528 | if (d2 >= 0) |
---|
1529 | { |
---|
1530 | d = std::sqrt(d2) ; |
---|
1531 | s = -b + d ; |
---|
1532 | if ( (s >= halfCarTolerance) && (s < snxt) && (fSTheta < halfpi) ) |
---|
1533 | { // ^^^^^^^^^^^^^^^^^^^^^ shouldn't it be >=0 instead ? |
---|
1534 | xi = p.x() + s*v.x() ; |
---|
1535 | yi = p.y() + s*v.y() ; |
---|
1536 | zi = p.z() + s*v.z() ; |
---|
1537 | rhoi2 = xi*xi + yi*yi ; |
---|
1538 | radi2 = rhoi2 + zi*zi ; |
---|
1539 | |
---|
1540 | if ( (radi2 <= tolORMax2) |
---|
1541 | && (radi2 >= tolORMin2) |
---|
1542 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1543 | { |
---|
1544 | if ( !fFullPhiSphere && rhoi2 ) // Check phi intersection |
---|
1545 | { |
---|
1546 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1547 | if ( cosPsi >= cosHDPhiOT ) |
---|
1548 | { |
---|
1549 | snxt = s ; |
---|
1550 | } |
---|
1551 | } |
---|
1552 | else |
---|
1553 | { |
---|
1554 | snxt = s ; |
---|
1555 | } |
---|
1556 | } |
---|
1557 | } |
---|
1558 | } |
---|
1559 | } |
---|
1560 | } |
---|
1561 | else if ((pTheta > tolETheta-kAngTolerance) && (eTheta < pi-kAngTolerance)) |
---|
1562 | { |
---|
1563 | |
---|
1564 | // In tolerance of etheta |
---|
1565 | // If entering through solid [r,phi] => 0 to in |
---|
1566 | // else try 2nd root |
---|
1567 | |
---|
1568 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1569 | |
---|
1570 | if ( ((t2<0) && (eTheta < halfpi) |
---|
1571 | && (tolIRMin2 < rad2) && (rad2 < tolIRMax2)) |
---|
1572 | || ((t2>=0) && (eTheta > halfpi) |
---|
1573 | && (tolIRMin2 < rad2) && (rad2 < tolIRMax2)) |
---|
1574 | || ((v.z()>0) && (eTheta == halfpi) |
---|
1575 | && (tolIRMin2 < rad2) && (rad2 < tolIRMax2)) ) |
---|
1576 | { |
---|
1577 | if (!fFullPhiSphere && rho2) // Check phi intersection |
---|
1578 | { |
---|
1579 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1580 | if (cosPsi >= cosHDPhiIT) |
---|
1581 | { |
---|
1582 | return 0 ; |
---|
1583 | } |
---|
1584 | } |
---|
1585 | else |
---|
1586 | { |
---|
1587 | return 0 ; |
---|
1588 | } |
---|
1589 | } |
---|
1590 | |
---|
1591 | // Not entering immediately/travelling through |
---|
1592 | |
---|
1593 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1594 | if (t1) |
---|
1595 | { |
---|
1596 | b = t2/t1 ; |
---|
1597 | c = dist2ETheta/t1 ; |
---|
1598 | d2 = b*b - c ; |
---|
1599 | |
---|
1600 | if (d2 >= 0) |
---|
1601 | { |
---|
1602 | d = std::sqrt(d2) ; |
---|
1603 | s = -b + d ; |
---|
1604 | |
---|
1605 | if ( (s >= halfCarTolerance) |
---|
1606 | && (s < snxt) && (eTheta > halfpi) ) |
---|
1607 | { |
---|
1608 | xi = p.x() + s*v.x() ; |
---|
1609 | yi = p.y() + s*v.y() ; |
---|
1610 | zi = p.z() + s*v.z() ; |
---|
1611 | rhoi2 = xi*xi + yi*yi ; |
---|
1612 | radi2 = rhoi2 + zi*zi ; |
---|
1613 | |
---|
1614 | if ( (radi2 <= tolORMax2) |
---|
1615 | && (radi2 >= tolORMin2) |
---|
1616 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
1617 | { |
---|
1618 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
1619 | { |
---|
1620 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1621 | if (cosPsi >= cosHDPhiOT) |
---|
1622 | { |
---|
1623 | snxt = s ; |
---|
1624 | } |
---|
1625 | } |
---|
1626 | else |
---|
1627 | { |
---|
1628 | snxt = s ; |
---|
1629 | } |
---|
1630 | } |
---|
1631 | } |
---|
1632 | } |
---|
1633 | } |
---|
1634 | } |
---|
1635 | else |
---|
1636 | { |
---|
1637 | // stheta+tol<theta<etheta-tol |
---|
1638 | // For BOTH stheta & etheta check 2nd root for validity [r,phi] |
---|
1639 | |
---|
1640 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1641 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1642 | if (t1) |
---|
1643 | { |
---|
1644 | b = t2/t1; |
---|
1645 | c = dist2STheta/t1 ; |
---|
1646 | d2 = b*b - c ; |
---|
1647 | |
---|
1648 | if (d2 >= 0) |
---|
1649 | { |
---|
1650 | d = std::sqrt(d2) ; |
---|
1651 | s = -b + d ; // second root |
---|
1652 | |
---|
1653 | if ((s >= 0) && (s < snxt)) |
---|
1654 | { |
---|
1655 | xi = p.x() + s*v.x() ; |
---|
1656 | yi = p.y() + s*v.y() ; |
---|
1657 | zi = p.z() + s*v.z() ; |
---|
1658 | rhoi2 = xi*xi + yi*yi ; |
---|
1659 | radi2 = rhoi2 + zi*zi ; |
---|
1660 | |
---|
1661 | if ( (radi2 <= tolORMax2) |
---|
1662 | && (radi2 >= tolORMin2) |
---|
1663 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1664 | { |
---|
1665 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
1666 | { |
---|
1667 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1668 | if (cosPsi >= cosHDPhiOT) |
---|
1669 | { |
---|
1670 | snxt = s ; |
---|
1671 | } |
---|
1672 | } |
---|
1673 | else |
---|
1674 | { |
---|
1675 | snxt = s ; |
---|
1676 | } |
---|
1677 | } |
---|
1678 | } |
---|
1679 | } |
---|
1680 | } |
---|
1681 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1682 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1683 | if (t1) |
---|
1684 | { |
---|
1685 | b = t2/t1 ; |
---|
1686 | c = dist2ETheta/t1 ; |
---|
1687 | d2 = b*b - c ; |
---|
1688 | |
---|
1689 | if (d2 >= 0) |
---|
1690 | { |
---|
1691 | d = std::sqrt(d2) ; |
---|
1692 | s = -b + d; // second root |
---|
1693 | |
---|
1694 | if ((s >= 0) && (s < snxt)) |
---|
1695 | { |
---|
1696 | xi = p.x() + s*v.x() ; |
---|
1697 | yi = p.y() + s*v.y() ; |
---|
1698 | zi = p.z() + s*v.z() ; |
---|
1699 | rhoi2 = xi*xi + yi*yi ; |
---|
1700 | radi2 = rhoi2 + zi*zi ; |
---|
1701 | |
---|
1702 | if ( (radi2 <= tolORMax2) |
---|
1703 | && (radi2 >= tolORMin2) |
---|
1704 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
1705 | { |
---|
1706 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
1707 | { |
---|
1708 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1709 | if ( cosPsi >= cosHDPhiOT ) |
---|
1710 | { |
---|
1711 | snxt=s; |
---|
1712 | } |
---|
1713 | } |
---|
1714 | else |
---|
1715 | { |
---|
1716 | snxt = s ; |
---|
1717 | } |
---|
1718 | } |
---|
1719 | } |
---|
1720 | } |
---|
1721 | } |
---|
1722 | } |
---|
1723 | } |
---|
1724 | return snxt; |
---|
1725 | } |
---|
1726 | |
---|
1727 | ////////////////////////////////////////////////////////////////////// |
---|
1728 | // |
---|
1729 | // Calculate distance (<= actual) to closest surface of shape from outside |
---|
1730 | // - Calculate distance to radial planes |
---|
1731 | // - Only to phi planes if outside phi extent |
---|
1732 | // - Only to theta planes if outside theta extent |
---|
1733 | // - Return 0 if point inside |
---|
1734 | |
---|
1735 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p ) const |
---|
1736 | { |
---|
1737 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
1738 | G4double rho2,rds,rho; |
---|
1739 | G4double cosPsi; |
---|
1740 | G4double pTheta,dTheta1,dTheta2; |
---|
1741 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
1742 | rds=std::sqrt(rho2+p.z()*p.z()); |
---|
1743 | rho=std::sqrt(rho2); |
---|
1744 | |
---|
1745 | // |
---|
1746 | // Distance to r shells |
---|
1747 | // |
---|
1748 | if (fRmin) |
---|
1749 | { |
---|
1750 | safeRMin=fRmin-rds; |
---|
1751 | safeRMax=rds-fRmax; |
---|
1752 | if (safeRMin>safeRMax) |
---|
1753 | { |
---|
1754 | safe=safeRMin; |
---|
1755 | } |
---|
1756 | else |
---|
1757 | { |
---|
1758 | safe=safeRMax; |
---|
1759 | } |
---|
1760 | } |
---|
1761 | else |
---|
1762 | { |
---|
1763 | safe=rds-fRmax; |
---|
1764 | } |
---|
1765 | |
---|
1766 | // |
---|
1767 | // Distance to phi extent |
---|
1768 | // |
---|
1769 | if (!fFullPhiSphere && rho) |
---|
1770 | { |
---|
1771 | // Psi=angle from central phi to point |
---|
1772 | // |
---|
1773 | cosPsi=(p.x()*cosCPhi+p.y()*sinCPhi)/rho; |
---|
1774 | if (cosPsi<std::cos(hDPhi)) |
---|
1775 | { |
---|
1776 | // Point lies outside phi range |
---|
1777 | // |
---|
1778 | if ((p.y()*cosCPhi-p.x()*sinCPhi)<=0) |
---|
1779 | { |
---|
1780 | safePhi=std::fabs(p.x()*sinSPhi-p.y()*cosSPhi); |
---|
1781 | } |
---|
1782 | else |
---|
1783 | { |
---|
1784 | safePhi=std::fabs(p.x()*sinEPhi-p.y()*cosEPhi); |
---|
1785 | } |
---|
1786 | if (safePhi>safe) { safe=safePhi; } |
---|
1787 | } |
---|
1788 | } |
---|
1789 | // |
---|
1790 | // Distance to Theta extent |
---|
1791 | // |
---|
1792 | if ((rds!=0.0) && (!fFullThetaSphere)) |
---|
1793 | { |
---|
1794 | pTheta=std::acos(p.z()/rds); |
---|
1795 | if (pTheta<0) { pTheta+=pi; } |
---|
1796 | dTheta1=fSTheta-pTheta; |
---|
1797 | dTheta2=pTheta-eTheta; |
---|
1798 | if (dTheta1>dTheta2) |
---|
1799 | { |
---|
1800 | if (dTheta1>=0) // WHY ??????????? |
---|
1801 | { |
---|
1802 | safeTheta=rds*std::sin(dTheta1); |
---|
1803 | if (safe<=safeTheta) |
---|
1804 | { |
---|
1805 | safe=safeTheta; |
---|
1806 | } |
---|
1807 | } |
---|
1808 | } |
---|
1809 | else |
---|
1810 | { |
---|
1811 | if (dTheta2>=0) |
---|
1812 | { |
---|
1813 | safeTheta=rds*std::sin(dTheta2); |
---|
1814 | if (safe<=safeTheta) |
---|
1815 | { |
---|
1816 | safe=safeTheta; |
---|
1817 | } |
---|
1818 | } |
---|
1819 | } |
---|
1820 | } |
---|
1821 | |
---|
1822 | if (safe<0) { safe=0; } |
---|
1823 | return safe; |
---|
1824 | } |
---|
1825 | |
---|
1826 | ///////////////////////////////////////////////////////////////////// |
---|
1827 | // |
---|
1828 | // Calculate distance to surface of shape from 'inside', allowing for tolerance |
---|
1829 | // - Only Calc rmax intersection if no valid rmin intersection |
---|
1830 | |
---|
1831 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p, |
---|
1832 | const G4ThreeVector& v, |
---|
1833 | const G4bool calcNorm, |
---|
1834 | G4bool *validNorm, |
---|
1835 | G4ThreeVector *n ) const |
---|
1836 | { |
---|
1837 | G4double snxt = kInfinity; // snxt is default return value |
---|
1838 | G4double sphi= kInfinity,stheta= kInfinity; |
---|
1839 | ESide side=kNull,sidephi=kNull,sidetheta=kNull; |
---|
1840 | |
---|
1841 | static const G4double halfCarTolerance = kCarTolerance*0.5; |
---|
1842 | static const G4double halfAngTolerance = kAngTolerance*0.5; |
---|
1843 | const G4double halfRmaxTolerance = fRmaxTolerance*0.5; |
---|
1844 | const G4double halfRminTolerance = fRminTolerance*0.5; |
---|
1845 | const G4double Rmax_plus = fRmax + halfRmaxTolerance; |
---|
1846 | const G4double Rmin_minus = (fRmin) ? fRmin-halfRminTolerance : 0; |
---|
1847 | G4double t1,t2; |
---|
1848 | G4double b,c,d; |
---|
1849 | |
---|
1850 | // Variables for phi intersection: |
---|
1851 | |
---|
1852 | G4double pDistS,compS,pDistE,compE,sphi2,vphi; |
---|
1853 | |
---|
1854 | G4double rho2,rad2,pDotV2d,pDotV3d,pTheta; |
---|
1855 | |
---|
1856 | G4double tolSTheta=0.,tolETheta=0.; |
---|
1857 | G4double xi,yi,zi; // Intersection point |
---|
1858 | |
---|
1859 | // Theta precals |
---|
1860 | // |
---|
1861 | G4double rhoSecTheta; |
---|
1862 | G4double dist2STheta, dist2ETheta, distTheta; |
---|
1863 | G4double d2,s; |
---|
1864 | |
---|
1865 | // General Precalcs |
---|
1866 | // |
---|
1867 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
1868 | rad2 = rho2+p.z()*p.z(); |
---|
1869 | |
---|
1870 | pTheta = std::atan2(std::sqrt(rho2),p.z()); |
---|
1871 | |
---|
1872 | pDotV2d = p.x()*v.x()+p.y()*v.y(); |
---|
1873 | pDotV3d = pDotV2d+p.z()*v.z(); |
---|
1874 | |
---|
1875 | // Theta precalcs |
---|
1876 | |
---|
1877 | if ( !fFullThetaSphere ) |
---|
1878 | { |
---|
1879 | tolSTheta = fSTheta - halfAngTolerance; |
---|
1880 | tolETheta = eTheta + halfAngTolerance; |
---|
1881 | } |
---|
1882 | |
---|
1883 | // Radial Intersections from G4Sphere::DistanceToIn |
---|
1884 | // |
---|
1885 | // Outer spherical shell intersection |
---|
1886 | // - Only if outside tolerant fRmax |
---|
1887 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
1888 | // - No intersect -> no intersection with G4Sphere |
---|
1889 | // |
---|
1890 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
1891 | // |
---|
1892 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
1893 | // |
---|
1894 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
1895 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
1896 | // |
---|
1897 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
1898 | |
---|
1899 | if( (rad2 <= Rmax_plus*Rmax_plus) && (rad2 >= Rmin_minus*Rmin_minus) ) |
---|
1900 | { |
---|
1901 | c = rad2 - fRmax*fRmax; |
---|
1902 | |
---|
1903 | if (c < fRmaxTolerance*fRmax) |
---|
1904 | { |
---|
1905 | // Within tolerant Outer radius |
---|
1906 | // |
---|
1907 | // The test is |
---|
1908 | // rad - fRmax < 0.5*kRadTolerance |
---|
1909 | // => rad < fRmax + 0.5*kRadTol |
---|
1910 | // => rad2 < (fRmax + 0.5*kRadTol)^2 |
---|
1911 | // => rad2 < fRmax^2 + 2.*0.5*fRmax*kRadTol + 0.25*kRadTol*kRadTol |
---|
1912 | // => rad2 - fRmax^2 <~ fRmax*kRadTol |
---|
1913 | |
---|
1914 | d2 = pDotV3d*pDotV3d - c; |
---|
1915 | |
---|
1916 | if( (c >- fRmaxTolerance*fRmax) // on tolerant surface |
---|
1917 | && ((pDotV3d >=0) || (d2 < 0)) ) // leaving outside from Rmax |
---|
1918 | // not re-entering |
---|
1919 | { |
---|
1920 | if(calcNorm) |
---|
1921 | { |
---|
1922 | *validNorm = true ; |
---|
1923 | *n = G4ThreeVector(p.x()/fRmax,p.y()/fRmax,p.z()/fRmax) ; |
---|
1924 | } |
---|
1925 | return snxt = 0; |
---|
1926 | } |
---|
1927 | else |
---|
1928 | { |
---|
1929 | snxt = -pDotV3d+std::sqrt(d2); // second root since inside Rmax |
---|
1930 | side = kRMax ; |
---|
1931 | } |
---|
1932 | } |
---|
1933 | |
---|
1934 | // Inner spherical shell intersection: |
---|
1935 | // Always first >=0 root, because would have passed |
---|
1936 | // from outside of Rmin surface . |
---|
1937 | |
---|
1938 | if (fRmin) |
---|
1939 | { |
---|
1940 | c = rad2 - fRmin*fRmin; |
---|
1941 | d2 = pDotV3d*pDotV3d - c; |
---|
1942 | |
---|
1943 | if (c >- fRminTolerance*fRmin) // 2.0 * (0.5*kRadTolerance) * fRmin |
---|
1944 | { |
---|
1945 | if ( (c < fRminTolerance*fRmin) // leaving from Rmin |
---|
1946 | && (d2 >= fRminTolerance*fRmin) && (pDotV3d < 0) ) |
---|
1947 | { |
---|
1948 | if(calcNorm) { *validNorm = false; } // Rmin surface is concave |
---|
1949 | return snxt = 0 ; |
---|
1950 | } |
---|
1951 | else |
---|
1952 | { |
---|
1953 | if ( d2 >= 0. ) |
---|
1954 | { |
---|
1955 | s = -pDotV3d-std::sqrt(d2); |
---|
1956 | |
---|
1957 | if ( s >= 0. ) // Always intersect Rmin first |
---|
1958 | { |
---|
1959 | snxt = s ; |
---|
1960 | side = kRMin ; |
---|
1961 | } |
---|
1962 | } |
---|
1963 | } |
---|
1964 | } |
---|
1965 | } |
---|
1966 | } |
---|
1967 | |
---|
1968 | // Theta segment intersection |
---|
1969 | |
---|
1970 | if ( !fFullThetaSphere ) |
---|
1971 | { |
---|
1972 | // Intersection with theta surfaces |
---|
1973 | // |
---|
1974 | // Known failure cases: |
---|
1975 | // o Inside tolerance of stheta surface, skim |
---|
1976 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
1977 | // |
---|
1978 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
1979 | // |
---|
1980 | // o start/end theta is exactly pi/2 |
---|
1981 | // |
---|
1982 | // Intersections with cones |
---|
1983 | // |
---|
1984 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
1985 | // |
---|
1986 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
1987 | // |
---|
1988 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
1989 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
1990 | // |
---|
1991 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
1992 | // |
---|
1993 | |
---|
1994 | if(fSTheta) // intersection with first cons |
---|
1995 | { |
---|
1996 | if( std::fabs(tanSTheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
1997 | { |
---|
1998 | if( v.z() > 0. ) |
---|
1999 | { |
---|
2000 | if ( std::fabs( p.z() ) <= halfRmaxTolerance ) |
---|
2001 | { |
---|
2002 | if(calcNorm) |
---|
2003 | { |
---|
2004 | *validNorm = true; |
---|
2005 | *n = G4ThreeVector(0.,0.,1.); |
---|
2006 | } |
---|
2007 | return snxt = 0 ; |
---|
2008 | } |
---|
2009 | stheta = -p.z()/v.z(); |
---|
2010 | sidetheta = kSTheta; |
---|
2011 | } |
---|
2012 | } |
---|
2013 | else // kons is not plane |
---|
2014 | { |
---|
2015 | t1 = 1-v.z()*v.z()*(1+tanSTheta2); |
---|
2016 | t2 = pDotV2d-p.z()*v.z()*tanSTheta2; // ~vDotN if p on cons |
---|
2017 | dist2STheta = rho2-p.z()*p.z()*tanSTheta2; // t3 |
---|
2018 | |
---|
2019 | distTheta = std::sqrt(rho2)-p.z()*tanSTheta; |
---|
2020 | |
---|
2021 | if( std::fabs(t1) < halfAngTolerance ) // 1st order equation, |
---|
2022 | { // v parallel to kons |
---|
2023 | if( v.z() > 0. ) |
---|
2024 | { |
---|
2025 | if(std::fabs(distTheta) < halfRmaxTolerance) // p on surface |
---|
2026 | { |
---|
2027 | if( (fSTheta < halfpi) && (p.z() > 0.) ) |
---|
2028 | { |
---|
2029 | if( calcNorm ) { *validNorm = false; } |
---|
2030 | return snxt = 0.; |
---|
2031 | } |
---|
2032 | else if( (fSTheta > halfpi) && (p.z() <= 0) ) |
---|
2033 | { |
---|
2034 | if( calcNorm ) |
---|
2035 | { |
---|
2036 | *validNorm = true; |
---|
2037 | if (rho2) |
---|
2038 | { |
---|
2039 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
2040 | |
---|
2041 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2042 | p.y()/rhoSecTheta, |
---|
2043 | std::sin(fSTheta) ); |
---|
2044 | } |
---|
2045 | else *n = G4ThreeVector(0.,0.,1.); |
---|
2046 | } |
---|
2047 | return snxt = 0.; |
---|
2048 | } |
---|
2049 | } |
---|
2050 | stheta = -0.5*dist2STheta/t2; |
---|
2051 | sidetheta = kSTheta; |
---|
2052 | } |
---|
2053 | } // 2nd order equation, 1st root of fSTheta cone, |
---|
2054 | else // 2nd if 1st root -ve |
---|
2055 | { |
---|
2056 | if( std::fabs(distTheta) < halfRmaxTolerance ) |
---|
2057 | { |
---|
2058 | if( (fSTheta > halfpi) && (t2 >= 0.) ) // leave |
---|
2059 | { |
---|
2060 | if( calcNorm ) |
---|
2061 | { |
---|
2062 | *validNorm = true; |
---|
2063 | if (rho2) |
---|
2064 | { |
---|
2065 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
2066 | |
---|
2067 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2068 | p.y()/rhoSecTheta, |
---|
2069 | std::sin(fSTheta) ); |
---|
2070 | } |
---|
2071 | else { *n = G4ThreeVector(0.,0.,1.); } |
---|
2072 | } |
---|
2073 | return snxt = 0.; |
---|
2074 | } |
---|
2075 | else if( (fSTheta < halfpi) && (t2 < 0.) && (p.z() >=0.) ) // leave |
---|
2076 | { |
---|
2077 | if( calcNorm ) { *validNorm = false; } |
---|
2078 | return snxt = 0.; |
---|
2079 | } |
---|
2080 | } |
---|
2081 | b = t2/t1; |
---|
2082 | c = dist2STheta/t1; |
---|
2083 | d2 = b*b - c ; |
---|
2084 | |
---|
2085 | if ( d2 >= 0. ) |
---|
2086 | { |
---|
2087 | d = std::sqrt(d2); |
---|
2088 | |
---|
2089 | if( fSTheta > halfpi ) |
---|
2090 | { |
---|
2091 | s = -b - d; // First root |
---|
2092 | |
---|
2093 | if ( ((std::fabs(s) < halfRmaxTolerance) && (t2 < 0.)) |
---|
2094 | || (s < 0.) || ( (s > 0.) && (p.z() + s*v.z() > 0.) ) ) |
---|
2095 | { |
---|
2096 | s = -b + d ; // 2nd root |
---|
2097 | } |
---|
2098 | if( (s > halfRmaxTolerance) && (p.z() + s*v.z() <= 0.) ) |
---|
2099 | { |
---|
2100 | stheta = s; |
---|
2101 | sidetheta = kSTheta; |
---|
2102 | } |
---|
2103 | } |
---|
2104 | else // sTheta < pi/2, concave surface, no normal |
---|
2105 | { |
---|
2106 | s = -b - d; // First root |
---|
2107 | |
---|
2108 | if ( ( (std::fabs(s) < halfRmaxTolerance) && (t2 >= 0.) ) |
---|
2109 | || (s < 0.) || ( (s > 0.) && (p.z() + s*v.z() < 0.) ) ) |
---|
2110 | { |
---|
2111 | s = -b + d ; // 2nd root |
---|
2112 | } |
---|
2113 | if( (s > halfRmaxTolerance) && (p.z() + s*v.z() >= 0.) ) |
---|
2114 | { |
---|
2115 | stheta = s; |
---|
2116 | sidetheta = kSTheta; |
---|
2117 | } |
---|
2118 | } |
---|
2119 | } |
---|
2120 | } |
---|
2121 | } |
---|
2122 | } |
---|
2123 | if (eTheta < pi) // intersection with second cons |
---|
2124 | { |
---|
2125 | if( std::fabs(tanETheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
2126 | { |
---|
2127 | if( v.z() < 0. ) |
---|
2128 | { |
---|
2129 | if ( std::fabs( p.z() ) <= halfRmaxTolerance ) |
---|
2130 | { |
---|
2131 | if(calcNorm) |
---|
2132 | { |
---|
2133 | *validNorm = true; |
---|
2134 | *n = G4ThreeVector(0.,0.,-1.); |
---|
2135 | } |
---|
2136 | return snxt = 0 ; |
---|
2137 | } |
---|
2138 | s = -p.z()/v.z(); |
---|
2139 | |
---|
2140 | if( s < stheta ) |
---|
2141 | { |
---|
2142 | stheta = s; |
---|
2143 | sidetheta = kETheta; |
---|
2144 | } |
---|
2145 | } |
---|
2146 | } |
---|
2147 | else // kons is not plane |
---|
2148 | { |
---|
2149 | t1 = 1-v.z()*v.z()*(1+tanETheta2); |
---|
2150 | t2 = pDotV2d-p.z()*v.z()*tanETheta2; // ~vDotN if p on cons |
---|
2151 | dist2ETheta = rho2-p.z()*p.z()*tanETheta2; // t3 |
---|
2152 | |
---|
2153 | distTheta = std::sqrt(rho2)-p.z()*tanETheta; |
---|
2154 | |
---|
2155 | if( std::fabs(t1) < halfAngTolerance ) // 1st order equation, |
---|
2156 | { // v parallel to kons |
---|
2157 | if( v.z() < 0. ) |
---|
2158 | { |
---|
2159 | if(std::fabs(distTheta) < halfRmaxTolerance) // p on surface |
---|
2160 | { |
---|
2161 | if( (eTheta > halfpi) && (p.z() < 0.) ) |
---|
2162 | { |
---|
2163 | if( calcNorm ) { *validNorm = false; } |
---|
2164 | return snxt = 0.; |
---|
2165 | } |
---|
2166 | else if ( (eTheta < halfpi) && (p.z() >= 0) ) |
---|
2167 | { |
---|
2168 | if( calcNorm ) |
---|
2169 | { |
---|
2170 | *validNorm = true; |
---|
2171 | if (rho2) |
---|
2172 | { |
---|
2173 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
2174 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2175 | p.y()/rhoSecTheta, |
---|
2176 | -sinETheta ); |
---|
2177 | } |
---|
2178 | else { *n = G4ThreeVector(0.,0.,-1.); } |
---|
2179 | } |
---|
2180 | return snxt = 0.; |
---|
2181 | } |
---|
2182 | } |
---|
2183 | s = -0.5*dist2ETheta/t2; |
---|
2184 | |
---|
2185 | if( s < stheta ) |
---|
2186 | { |
---|
2187 | stheta = s; |
---|
2188 | sidetheta = kETheta; |
---|
2189 | } |
---|
2190 | } |
---|
2191 | } // 2nd order equation, 1st root of fSTheta cone |
---|
2192 | else // 2nd if 1st root -ve |
---|
2193 | { |
---|
2194 | if ( std::fabs(distTheta) < halfRmaxTolerance ) |
---|
2195 | { |
---|
2196 | if( (eTheta < halfpi) && (t2 >= 0.) ) // leave |
---|
2197 | { |
---|
2198 | if( calcNorm ) |
---|
2199 | { |
---|
2200 | *validNorm = true; |
---|
2201 | if (rho2) |
---|
2202 | { |
---|
2203 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
2204 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2205 | p.y()/rhoSecTheta, |
---|
2206 | -sinETheta ); |
---|
2207 | } |
---|
2208 | else *n = G4ThreeVector(0.,0.,-1.); |
---|
2209 | } |
---|
2210 | return snxt = 0.; |
---|
2211 | } |
---|
2212 | else if ( (eTheta > halfpi) |
---|
2213 | && (t2 < 0.) && (p.z() <=0.) ) // leave |
---|
2214 | { |
---|
2215 | if( calcNorm ) { *validNorm = false; } |
---|
2216 | return snxt = 0.; |
---|
2217 | } |
---|
2218 | } |
---|
2219 | b = t2/t1; |
---|
2220 | c = dist2ETheta/t1; |
---|
2221 | d2 = b*b - c ; |
---|
2222 | |
---|
2223 | if ( d2 >= 0. ) |
---|
2224 | { |
---|
2225 | d = std::sqrt(d2); |
---|
2226 | |
---|
2227 | if( eTheta < halfpi ) |
---|
2228 | { |
---|
2229 | s = -b - d; // First root |
---|
2230 | |
---|
2231 | if( ((std::fabs(s) < halfRmaxTolerance) && (t2 < 0.)) |
---|
2232 | || (s < 0.) ) |
---|
2233 | { |
---|
2234 | s = -b + d ; // 2nd root |
---|
2235 | } |
---|
2236 | if( s > halfRmaxTolerance ) |
---|
2237 | { |
---|
2238 | if( s < stheta ) |
---|
2239 | { |
---|
2240 | stheta = s; |
---|
2241 | sidetheta = kETheta; |
---|
2242 | } |
---|
2243 | } |
---|
2244 | } |
---|
2245 | else // sTheta+fDTheta > pi/2, concave surface, no normal |
---|
2246 | { |
---|
2247 | s = -b - d; // First root |
---|
2248 | |
---|
2249 | if ( ((std::fabs(s) < halfRmaxTolerance) && (t2 >= 0.)) |
---|
2250 | || (s < 0.) || ( (s > 0.) && (p.z() + s*v.z() > 0.) ) ) |
---|
2251 | { |
---|
2252 | s = -b + d ; // 2nd root |
---|
2253 | } |
---|
2254 | if( (s > halfRmaxTolerance) && (p.z() + s*v.z() <= 0.) ) |
---|
2255 | { |
---|
2256 | if( s < stheta ) |
---|
2257 | { |
---|
2258 | stheta = s; |
---|
2259 | sidetheta = kETheta; |
---|
2260 | } |
---|
2261 | } |
---|
2262 | } |
---|
2263 | } |
---|
2264 | } |
---|
2265 | } |
---|
2266 | } |
---|
2267 | |
---|
2268 | } // end theta intersections |
---|
2269 | |
---|
2270 | // Phi Intersection |
---|
2271 | |
---|
2272 | if ( !fFullPhiSphere ) |
---|
2273 | { |
---|
2274 | if ( p.x() || p.y() ) // Check if on z axis (rho not needed later) |
---|
2275 | { |
---|
2276 | // pDist -ve when inside |
---|
2277 | |
---|
2278 | pDistS=p.x()*sinSPhi-p.y()*cosSPhi; |
---|
2279 | pDistE=-p.x()*sinEPhi+p.y()*cosEPhi; |
---|
2280 | |
---|
2281 | // Comp -ve when in direction of outwards normal |
---|
2282 | |
---|
2283 | compS = -sinSPhi*v.x()+cosSPhi*v.y() ; |
---|
2284 | compE = sinEPhi*v.x()-cosEPhi*v.y() ; |
---|
2285 | sidephi = kNull ; |
---|
2286 | |
---|
2287 | if ( (pDistS <= 0) && (pDistE <= 0) ) |
---|
2288 | { |
---|
2289 | // Inside both phi *full* planes |
---|
2290 | |
---|
2291 | if ( compS < 0 ) |
---|
2292 | { |
---|
2293 | sphi = pDistS/compS ; |
---|
2294 | xi = p.x()+sphi*v.x() ; |
---|
2295 | yi = p.y()+sphi*v.y() ; |
---|
2296 | |
---|
2297 | // Check intersection with correct half-plane (if not -> no intersect) |
---|
2298 | // |
---|
2299 | if( (std::abs(xi)<=kCarTolerance) && (std::abs(yi)<=kCarTolerance) ) |
---|
2300 | { |
---|
2301 | vphi = std::atan2(v.y(),v.x()); |
---|
2302 | sidephi = kSPhi; |
---|
2303 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
2304 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
2305 | { |
---|
2306 | sphi = kInfinity; |
---|
2307 | } |
---|
2308 | } |
---|
2309 | else if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
2310 | { |
---|
2311 | sphi=kInfinity; |
---|
2312 | } |
---|
2313 | else |
---|
2314 | { |
---|
2315 | sidephi = kSPhi ; |
---|
2316 | if ( pDistS > -halfCarTolerance) { sphi = 0; } // Leave by sphi |
---|
2317 | } |
---|
2318 | } |
---|
2319 | else { sphi = kInfinity; } |
---|
2320 | |
---|
2321 | if ( compE < 0 ) |
---|
2322 | { |
---|
2323 | sphi2=pDistE/compE ; |
---|
2324 | if (sphi2 < sphi) // Only check further if < starting phi intersection |
---|
2325 | { |
---|
2326 | xi = p.x()+sphi2*v.x() ; |
---|
2327 | yi = p.y()+sphi2*v.y() ; |
---|
2328 | |
---|
2329 | // Check intersection with correct half-plane |
---|
2330 | // |
---|
2331 | if ((std::abs(xi)<=kCarTolerance) && (std::abs(yi)<=kCarTolerance)) |
---|
2332 | { |
---|
2333 | // Leaving via ending phi |
---|
2334 | // |
---|
2335 | vphi = std::atan2(v.y(),v.x()) ; |
---|
2336 | |
---|
2337 | if( !((fSPhi-halfAngTolerance <= vphi) |
---|
2338 | &&(fSPhi+fDPhi+halfAngTolerance >= vphi)) ) |
---|
2339 | { |
---|
2340 | sidephi = kEPhi; |
---|
2341 | if ( pDistE <= -halfCarTolerance ) { sphi = sphi2; } |
---|
2342 | else { sphi = 0.0; } |
---|
2343 | } |
---|
2344 | } |
---|
2345 | else if ((yi*cosCPhi-xi*sinCPhi)>=0) // Leaving via ending phi |
---|
2346 | { |
---|
2347 | sidephi = kEPhi ; |
---|
2348 | if ( pDistE <= -halfCarTolerance ) |
---|
2349 | { |
---|
2350 | sphi=sphi2; |
---|
2351 | } |
---|
2352 | else |
---|
2353 | { |
---|
2354 | sphi = 0 ; |
---|
2355 | } |
---|
2356 | } |
---|
2357 | } |
---|
2358 | } |
---|
2359 | } |
---|
2360 | else if ((pDistS >= 0) && (pDistE >= 0)) // Outside both *full* phi planes |
---|
2361 | { |
---|
2362 | if ( pDistS <= pDistE ) |
---|
2363 | { |
---|
2364 | sidephi = kSPhi ; |
---|
2365 | } |
---|
2366 | else |
---|
2367 | { |
---|
2368 | sidephi = kEPhi ; |
---|
2369 | } |
---|
2370 | if ( fDPhi > pi ) |
---|
2371 | { |
---|
2372 | if ( (compS < 0) && (compE < 0) ) { sphi = 0; } |
---|
2373 | else { sphi = kInfinity; } |
---|
2374 | } |
---|
2375 | else |
---|
2376 | { |
---|
2377 | // if towards both >=0 then once inside (after error) |
---|
2378 | // will remain inside |
---|
2379 | |
---|
2380 | if ( (compS >= 0) && (compE >= 0) ) { sphi = kInfinity; } |
---|
2381 | else { sphi = 0; } |
---|
2382 | } |
---|
2383 | } |
---|
2384 | else if ( (pDistS > 0) && (pDistE < 0) ) |
---|
2385 | { |
---|
2386 | // Outside full starting plane, inside full ending plane |
---|
2387 | |
---|
2388 | if ( fDPhi > pi ) |
---|
2389 | { |
---|
2390 | if ( compE < 0 ) |
---|
2391 | { |
---|
2392 | sphi = pDistE/compE ; |
---|
2393 | xi = p.x() + sphi*v.x() ; |
---|
2394 | yi = p.y() + sphi*v.y() ; |
---|
2395 | |
---|
2396 | // Check intersection in correct half-plane |
---|
2397 | // (if not -> not leaving phi extent) |
---|
2398 | // |
---|
2399 | if( (std::abs(xi)<=kCarTolerance)&&(std::abs(yi)<=kCarTolerance) ) |
---|
2400 | { |
---|
2401 | vphi = std::atan2(v.y(),v.x()); |
---|
2402 | sidephi = kSPhi; |
---|
2403 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
2404 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
2405 | { |
---|
2406 | sphi = kInfinity; |
---|
2407 | } |
---|
2408 | } |
---|
2409 | else if ( ( yi*cosCPhi - xi*sinCPhi ) <= 0 ) |
---|
2410 | { |
---|
2411 | sphi = kInfinity ; |
---|
2412 | } |
---|
2413 | else // Leaving via Ending phi |
---|
2414 | { |
---|
2415 | sidephi = kEPhi ; |
---|
2416 | if ( pDistE > -halfCarTolerance ) { sphi = 0.; } |
---|
2417 | } |
---|
2418 | } |
---|
2419 | else |
---|
2420 | { |
---|
2421 | sphi = kInfinity ; |
---|
2422 | } |
---|
2423 | } |
---|
2424 | else |
---|
2425 | { |
---|
2426 | if ( compS >= 0 ) |
---|
2427 | { |
---|
2428 | if ( compE < 0 ) |
---|
2429 | { |
---|
2430 | sphi = pDistE/compE ; |
---|
2431 | xi = p.x() + sphi*v.x() ; |
---|
2432 | yi = p.y() + sphi*v.y() ; |
---|
2433 | |
---|
2434 | // Check intersection in correct half-plane |
---|
2435 | // (if not -> remain in extent) |
---|
2436 | // |
---|
2437 | if( (std::abs(xi)<=kCarTolerance)&&(std::abs(yi)<=kCarTolerance) ) |
---|
2438 | { |
---|
2439 | vphi = std::atan2(v.y(),v.x()); |
---|
2440 | sidephi = kSPhi; |
---|
2441 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
2442 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
2443 | { |
---|
2444 | sphi = kInfinity; |
---|
2445 | } |
---|
2446 | } |
---|
2447 | else if ( ( yi*cosCPhi - xi*sinCPhi) <= 0 ) |
---|
2448 | { |
---|
2449 | sphi=kInfinity; |
---|
2450 | } |
---|
2451 | else // otherwise leaving via Ending phi |
---|
2452 | { |
---|
2453 | sidephi = kEPhi ; |
---|
2454 | } |
---|
2455 | } |
---|
2456 | else sphi=kInfinity; |
---|
2457 | } |
---|
2458 | else // leaving immediately by starting phi |
---|
2459 | { |
---|
2460 | sidephi = kSPhi ; |
---|
2461 | sphi = 0 ; |
---|
2462 | } |
---|
2463 | } |
---|
2464 | } |
---|
2465 | else |
---|
2466 | { |
---|
2467 | // Must be pDistS < 0 && pDistE > 0 |
---|
2468 | // Inside full starting plane, outside full ending plane |
---|
2469 | |
---|
2470 | if ( fDPhi > pi ) |
---|
2471 | { |
---|
2472 | if ( compS < 0 ) |
---|
2473 | { |
---|
2474 | sphi=pDistS/compS; |
---|
2475 | xi=p.x()+sphi*v.x(); |
---|
2476 | yi=p.y()+sphi*v.y(); |
---|
2477 | |
---|
2478 | // Check intersection in correct half-plane |
---|
2479 | // (if not -> not leaving phi extent) |
---|
2480 | // |
---|
2481 | if( (std::abs(xi)<=kCarTolerance)&&(std::abs(yi)<=kCarTolerance) ) |
---|
2482 | { |
---|
2483 | vphi = std::atan2(v.y(),v.x()) ; |
---|
2484 | sidephi = kSPhi; |
---|
2485 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
2486 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
2487 | { |
---|
2488 | sphi = kInfinity; |
---|
2489 | } |
---|
2490 | } |
---|
2491 | else if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
2492 | { |
---|
2493 | sphi = kInfinity ; |
---|
2494 | } |
---|
2495 | else // Leaving via Starting phi |
---|
2496 | { |
---|
2497 | sidephi = kSPhi ; |
---|
2498 | if ( pDistS > -halfCarTolerance ) { sphi = 0; } |
---|
2499 | } |
---|
2500 | } |
---|
2501 | else |
---|
2502 | { |
---|
2503 | sphi = kInfinity ; |
---|
2504 | } |
---|
2505 | } |
---|
2506 | else |
---|
2507 | { |
---|
2508 | if ( compE >= 0 ) |
---|
2509 | { |
---|
2510 | if ( compS < 0 ) |
---|
2511 | { |
---|
2512 | sphi = pDistS/compS ; |
---|
2513 | xi = p.x()+sphi*v.x() ; |
---|
2514 | yi = p.y()+sphi*v.y() ; |
---|
2515 | |
---|
2516 | // Check intersection in correct half-plane |
---|
2517 | // (if not -> remain in extent) |
---|
2518 | // |
---|
2519 | if((std::abs(xi)<=kCarTolerance) && (std::abs(yi)<=kCarTolerance)) |
---|
2520 | { |
---|
2521 | vphi = std::atan2(v.y(),v.x()) ; |
---|
2522 | sidephi = kSPhi; |
---|
2523 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
2524 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
2525 | { |
---|
2526 | sphi = kInfinity; |
---|
2527 | } |
---|
2528 | } |
---|
2529 | else if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
2530 | { |
---|
2531 | sphi = kInfinity ; |
---|
2532 | } |
---|
2533 | else // otherwise leaving via Starting phi |
---|
2534 | { |
---|
2535 | sidephi = kSPhi ; |
---|
2536 | } |
---|
2537 | } |
---|
2538 | else |
---|
2539 | { |
---|
2540 | sphi = kInfinity ; |
---|
2541 | } |
---|
2542 | } |
---|
2543 | else // leaving immediately by ending |
---|
2544 | { |
---|
2545 | sidephi = kEPhi ; |
---|
2546 | sphi = 0 ; |
---|
2547 | } |
---|
2548 | } |
---|
2549 | } |
---|
2550 | } |
---|
2551 | else |
---|
2552 | { |
---|
2553 | // On z axis + travel not || to z axis -> if phi of vector direction |
---|
2554 | // within phi of shape, Step limited by rmax, else Step =0 |
---|
2555 | |
---|
2556 | if ( v.x() || v.y() ) |
---|
2557 | { |
---|
2558 | vphi = std::atan2(v.y(),v.x()) ; |
---|
2559 | if ((fSPhi-halfAngTolerance < vphi) && (vphi < ePhi+halfAngTolerance)) |
---|
2560 | { |
---|
2561 | sphi = kInfinity; |
---|
2562 | } |
---|
2563 | else |
---|
2564 | { |
---|
2565 | sidephi = kSPhi ; // arbitrary |
---|
2566 | sphi = 0 ; |
---|
2567 | } |
---|
2568 | } |
---|
2569 | else // travel along z - no phi intersection |
---|
2570 | { |
---|
2571 | sphi = kInfinity ; |
---|
2572 | } |
---|
2573 | } |
---|
2574 | if ( sphi < snxt ) // Order intersecttions |
---|
2575 | { |
---|
2576 | snxt = sphi ; |
---|
2577 | side = sidephi ; |
---|
2578 | } |
---|
2579 | } |
---|
2580 | if (stheta < snxt ) // Order intersections |
---|
2581 | { |
---|
2582 | snxt = stheta ; |
---|
2583 | side = sidetheta ; |
---|
2584 | } |
---|
2585 | |
---|
2586 | if (calcNorm) // Output switch operator |
---|
2587 | { |
---|
2588 | switch( side ) |
---|
2589 | { |
---|
2590 | case kRMax: |
---|
2591 | xi=p.x()+snxt*v.x(); |
---|
2592 | yi=p.y()+snxt*v.y(); |
---|
2593 | zi=p.z()+snxt*v.z(); |
---|
2594 | *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi/fRmax); |
---|
2595 | *validNorm=true; |
---|
2596 | break; |
---|
2597 | |
---|
2598 | case kRMin: |
---|
2599 | *validNorm=false; // Rmin is concave |
---|
2600 | break; |
---|
2601 | |
---|
2602 | case kSPhi: |
---|
2603 | if ( fDPhi <= pi ) // Normal to Phi- |
---|
2604 | { |
---|
2605 | *n=G4ThreeVector(sinSPhi,-cosSPhi,0); |
---|
2606 | *validNorm=true; |
---|
2607 | } |
---|
2608 | else { *validNorm=false; } |
---|
2609 | break ; |
---|
2610 | |
---|
2611 | case kEPhi: |
---|
2612 | if ( fDPhi <= pi ) // Normal to Phi+ |
---|
2613 | { |
---|
2614 | *n=G4ThreeVector(-sinEPhi,cosEPhi,0); |
---|
2615 | *validNorm=true; |
---|
2616 | } |
---|
2617 | else { *validNorm=false; } |
---|
2618 | break; |
---|
2619 | |
---|
2620 | case kSTheta: |
---|
2621 | if( fSTheta == halfpi ) |
---|
2622 | { |
---|
2623 | *n=G4ThreeVector(0.,0.,1.); |
---|
2624 | *validNorm=true; |
---|
2625 | } |
---|
2626 | else if ( fSTheta > halfpi ) |
---|
2627 | { |
---|
2628 | xi = p.x() + snxt*v.x(); |
---|
2629 | yi = p.y() + snxt*v.y(); |
---|
2630 | rho2=xi*xi+yi*yi; |
---|
2631 | if (rho2) |
---|
2632 | { |
---|
2633 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
2634 | *n = G4ThreeVector( xi/rhoSecTheta, yi/rhoSecTheta, |
---|
2635 | -tanSTheta/std::sqrt(1+tanSTheta2)); |
---|
2636 | } |
---|
2637 | else |
---|
2638 | { |
---|
2639 | *n = G4ThreeVector(0.,0.,1.); |
---|
2640 | } |
---|
2641 | *validNorm=true; |
---|
2642 | } |
---|
2643 | else { *validNorm=false; } // Concave STheta cone |
---|
2644 | break; |
---|
2645 | |
---|
2646 | case kETheta: |
---|
2647 | if( eTheta == halfpi ) |
---|
2648 | { |
---|
2649 | *n = G4ThreeVector(0.,0.,-1.); |
---|
2650 | *validNorm = true; |
---|
2651 | } |
---|
2652 | else if ( eTheta < halfpi ) |
---|
2653 | { |
---|
2654 | xi=p.x()+snxt*v.x(); |
---|
2655 | yi=p.y()+snxt*v.y(); |
---|
2656 | rho2=xi*xi+yi*yi; |
---|
2657 | if (rho2) |
---|
2658 | { |
---|
2659 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
2660 | *n = G4ThreeVector( xi/rhoSecTheta, yi/rhoSecTheta, |
---|
2661 | -tanETheta/std::sqrt(1+tanETheta2) ); |
---|
2662 | } |
---|
2663 | else |
---|
2664 | { |
---|
2665 | *n = G4ThreeVector(0.,0.,-1.); |
---|
2666 | } |
---|
2667 | *validNorm=true; |
---|
2668 | } |
---|
2669 | else { *validNorm=false; } // Concave ETheta cone |
---|
2670 | break; |
---|
2671 | |
---|
2672 | default: |
---|
2673 | G4cout.precision(16); |
---|
2674 | G4cout << G4endl; |
---|
2675 | DumpInfo(); |
---|
2676 | G4cout << "Position:" << G4endl << G4endl; |
---|
2677 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
2678 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
2679 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
2680 | G4cout << "Direction:" << G4endl << G4endl; |
---|
2681 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
2682 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
2683 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
2684 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
2685 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
2686 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
2687 | "Notification", JustWarning, |
---|
2688 | "Undefined side for valid surface normal to solid."); |
---|
2689 | break; |
---|
2690 | } |
---|
2691 | } |
---|
2692 | if (snxt == kInfinity) |
---|
2693 | { |
---|
2694 | G4cout.precision(24); |
---|
2695 | G4cout << G4endl; |
---|
2696 | DumpInfo(); |
---|
2697 | G4cout << "Position:" << G4endl << G4endl; |
---|
2698 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
2699 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
2700 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
2701 | G4cout << "Rp = "<< std::sqrt( p.x()*p.x()+p.y()*p.y()+p.z()*p.z() )/mm << " mm" |
---|
2702 | << G4endl << G4endl; |
---|
2703 | G4cout << "Direction:" << G4endl << G4endl; |
---|
2704 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
2705 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
2706 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
2707 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
2708 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
2709 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
2710 | "Notification", JustWarning, |
---|
2711 | "Logic error: snxt = kInfinity ???"); |
---|
2712 | } |
---|
2713 | |
---|
2714 | return snxt; |
---|
2715 | } |
---|
2716 | |
---|
2717 | ///////////////////////////////////////////////////////////////////////// |
---|
2718 | // |
---|
2719 | // Calculate distance (<=actual) to closest surface of shape from inside |
---|
2720 | |
---|
2721 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p ) const |
---|
2722 | { |
---|
2723 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
2724 | G4double rho2,rds,rho; |
---|
2725 | G4double pTheta,dTheta1,dTheta2; |
---|
2726 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
2727 | rds=std::sqrt(rho2+p.z()*p.z()); |
---|
2728 | rho=std::sqrt(rho2); |
---|
2729 | |
---|
2730 | #ifdef G4CSGDEBUG |
---|
2731 | if( Inside(p) == kOutside ) |
---|
2732 | { |
---|
2733 | G4cout.precision(16) ; |
---|
2734 | G4cout << G4endl ; |
---|
2735 | DumpInfo(); |
---|
2736 | G4cout << "Position:" << G4endl << G4endl ; |
---|
2737 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ; |
---|
2738 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ; |
---|
2739 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ; |
---|
2740 | G4Exception("G4Sphere::DistanceToOut(p)", |
---|
2741 | "Notification", JustWarning, "Point p is outside !?" ); |
---|
2742 | } |
---|
2743 | #endif |
---|
2744 | |
---|
2745 | // |
---|
2746 | // Distance to r shells |
---|
2747 | // |
---|
2748 | if (fRmin) |
---|
2749 | { |
---|
2750 | safeRMin=rds-fRmin; |
---|
2751 | safeRMax=fRmax-rds; |
---|
2752 | if (safeRMin<safeRMax) |
---|
2753 | { |
---|
2754 | safe=safeRMin; |
---|
2755 | } |
---|
2756 | else |
---|
2757 | { |
---|
2758 | safe=safeRMax; |
---|
2759 | } |
---|
2760 | } |
---|
2761 | else |
---|
2762 | { |
---|
2763 | safe=fRmax-rds; |
---|
2764 | } |
---|
2765 | |
---|
2766 | // |
---|
2767 | // Distance to phi extent |
---|
2768 | // |
---|
2769 | if (!fFullPhiSphere && rho) |
---|
2770 | { |
---|
2771 | if ((p.y()*cosCPhi-p.x()*sinCPhi)<=0) |
---|
2772 | { |
---|
2773 | safePhi=-(p.x()*sinSPhi-p.y()*cosSPhi); |
---|
2774 | } |
---|
2775 | else |
---|
2776 | { |
---|
2777 | safePhi=(p.x()*sinEPhi-p.y()*cosEPhi); |
---|
2778 | } |
---|
2779 | if (safePhi<safe) { safe=safePhi; } |
---|
2780 | } |
---|
2781 | |
---|
2782 | // |
---|
2783 | // Distance to Theta extent |
---|
2784 | // |
---|
2785 | if (rds) |
---|
2786 | { |
---|
2787 | pTheta=std::acos(p.z()/rds); |
---|
2788 | if (pTheta<0) { pTheta+=pi; } |
---|
2789 | dTheta1=pTheta-fSTheta; |
---|
2790 | dTheta2=eTheta-pTheta; |
---|
2791 | if (dTheta1<dTheta2) { safeTheta=rds*std::sin(dTheta1); } |
---|
2792 | else { safeTheta=rds*std::sin(dTheta2); } |
---|
2793 | if (safe>safeTheta) { safe=safeTheta; } |
---|
2794 | } |
---|
2795 | |
---|
2796 | if (safe<0) { safe=0; } |
---|
2797 | return safe; |
---|
2798 | } |
---|
2799 | |
---|
2800 | ////////////////////////////////////////////////////////////////////////// |
---|
2801 | // |
---|
2802 | // Create a List containing the transformed vertices |
---|
2803 | // Ordering [0-3] -fDz cross section |
---|
2804 | // [4-7] +fDz cross section such that [0] is below [4], |
---|
2805 | // [1] below [5] etc. |
---|
2806 | // Note: |
---|
2807 | // Caller has deletion resposibility |
---|
2808 | // Potential improvement: For last slice, use actual ending angle |
---|
2809 | // to avoid rounding error problems. |
---|
2810 | |
---|
2811 | G4ThreeVectorList* |
---|
2812 | G4Sphere::CreateRotatedVertices( const G4AffineTransform& pTransform, |
---|
2813 | G4int& noPolygonVertices ) const |
---|
2814 | { |
---|
2815 | G4ThreeVectorList *vertices; |
---|
2816 | G4ThreeVector vertex; |
---|
2817 | G4double meshAnglePhi,meshRMax,crossAnglePhi, |
---|
2818 | coscrossAnglePhi,sincrossAnglePhi,sAnglePhi; |
---|
2819 | G4double meshTheta,crossTheta,startTheta; |
---|
2820 | G4double rMaxX,rMaxY,rMinX,rMinY,rMinZ,rMaxZ; |
---|
2821 | G4int crossSectionPhi,noPhiCrossSections,crossSectionTheta,noThetaSections; |
---|
2822 | |
---|
2823 | // Phi cross sections |
---|
2824 | |
---|
2825 | noPhiCrossSections = G4int(fDPhi/kMeshAngleDefault)+1; |
---|
2826 | |
---|
2827 | if (noPhiCrossSections<kMinMeshSections) |
---|
2828 | { |
---|
2829 | noPhiCrossSections=kMinMeshSections; |
---|
2830 | } |
---|
2831 | else if (noPhiCrossSections>kMaxMeshSections) |
---|
2832 | { |
---|
2833 | noPhiCrossSections=kMaxMeshSections; |
---|
2834 | } |
---|
2835 | meshAnglePhi=fDPhi/(noPhiCrossSections-1); |
---|
2836 | |
---|
2837 | // If complete in phi, set start angle such that mesh will be at fRMax |
---|
2838 | // on the x axis. Will give better extent calculations when not rotated. |
---|
2839 | |
---|
2840 | if (fFullPhiSphere) |
---|
2841 | { |
---|
2842 | sAnglePhi = -meshAnglePhi*0.5; |
---|
2843 | } |
---|
2844 | else |
---|
2845 | { |
---|
2846 | sAnglePhi=fSPhi; |
---|
2847 | } |
---|
2848 | |
---|
2849 | // Theta cross sections |
---|
2850 | |
---|
2851 | noThetaSections = G4int(fDTheta/kMeshAngleDefault)+1; |
---|
2852 | |
---|
2853 | if (noThetaSections<kMinMeshSections) |
---|
2854 | { |
---|
2855 | noThetaSections=kMinMeshSections; |
---|
2856 | } |
---|
2857 | else if (noThetaSections>kMaxMeshSections) |
---|
2858 | { |
---|
2859 | noThetaSections=kMaxMeshSections; |
---|
2860 | } |
---|
2861 | meshTheta=fDTheta/(noThetaSections-1); |
---|
2862 | |
---|
2863 | // If complete in Theta, set start angle such that mesh will be at fRMax |
---|
2864 | // on the z axis. Will give better extent calculations when not rotated. |
---|
2865 | |
---|
2866 | if (fFullThetaSphere) |
---|
2867 | { |
---|
2868 | startTheta = -meshTheta*0.5; |
---|
2869 | } |
---|
2870 | else |
---|
2871 | { |
---|
2872 | startTheta=fSTheta; |
---|
2873 | } |
---|
2874 | |
---|
2875 | meshRMax = (meshAnglePhi >= meshTheta) ? |
---|
2876 | fRmax/std::cos(meshAnglePhi*0.5) : fRmax/std::cos(meshTheta*0.5); |
---|
2877 | G4double* cosCrossTheta = new G4double[noThetaSections]; |
---|
2878 | G4double* sinCrossTheta = new G4double[noThetaSections]; |
---|
2879 | vertices=new G4ThreeVectorList(); |
---|
2880 | vertices->reserve(noPhiCrossSections*(noThetaSections*2)); |
---|
2881 | if (vertices && cosCrossTheta && sinCrossTheta) |
---|
2882 | { |
---|
2883 | for (crossSectionPhi=0; |
---|
2884 | crossSectionPhi<noPhiCrossSections; crossSectionPhi++) |
---|
2885 | { |
---|
2886 | crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi; |
---|
2887 | coscrossAnglePhi=std::cos(crossAnglePhi); |
---|
2888 | sincrossAnglePhi=std::sin(crossAnglePhi); |
---|
2889 | for (crossSectionTheta=0; |
---|
2890 | crossSectionTheta<noThetaSections;crossSectionTheta++) |
---|
2891 | { |
---|
2892 | // Compute coordinates of cross section at section crossSectionPhi |
---|
2893 | // |
---|
2894 | crossTheta=startTheta+crossSectionTheta*meshTheta; |
---|
2895 | cosCrossTheta[crossSectionTheta]=std::cos(crossTheta); |
---|
2896 | sinCrossTheta[crossSectionTheta]=std::sin(crossTheta); |
---|
2897 | |
---|
2898 | rMinX=fRmin*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
2899 | rMinY=fRmin*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
2900 | rMinZ=fRmin*cosCrossTheta[crossSectionTheta]; |
---|
2901 | |
---|
2902 | vertex=G4ThreeVector(rMinX,rMinY,rMinZ); |
---|
2903 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
2904 | |
---|
2905 | } // Theta forward |
---|
2906 | |
---|
2907 | for (crossSectionTheta=noThetaSections-1; |
---|
2908 | crossSectionTheta>=0; crossSectionTheta--) |
---|
2909 | { |
---|
2910 | rMaxX=meshRMax*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
2911 | rMaxY=meshRMax*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
2912 | rMaxZ=meshRMax*cosCrossTheta[crossSectionTheta]; |
---|
2913 | |
---|
2914 | vertex=G4ThreeVector(rMaxX,rMaxY,rMaxZ); |
---|
2915 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
2916 | |
---|
2917 | } // Theta back |
---|
2918 | } // Phi |
---|
2919 | noPolygonVertices = noThetaSections*2 ; |
---|
2920 | } |
---|
2921 | else |
---|
2922 | { |
---|
2923 | DumpInfo(); |
---|
2924 | G4Exception("G4Sphere::CreateRotatedVertices()", |
---|
2925 | "FatalError", FatalException, |
---|
2926 | "Error in allocation of vertices. Out of memory !"); |
---|
2927 | } |
---|
2928 | |
---|
2929 | delete [] cosCrossTheta; |
---|
2930 | delete [] sinCrossTheta; |
---|
2931 | |
---|
2932 | return vertices; |
---|
2933 | } |
---|
2934 | |
---|
2935 | ////////////////////////////////////////////////////////////////////////// |
---|
2936 | // |
---|
2937 | // G4EntityType |
---|
2938 | |
---|
2939 | G4GeometryType G4Sphere::GetEntityType() const |
---|
2940 | { |
---|
2941 | return G4String("G4Sphere"); |
---|
2942 | } |
---|
2943 | |
---|
2944 | ////////////////////////////////////////////////////////////////////////// |
---|
2945 | // |
---|
2946 | // Stream object contents to an output stream |
---|
2947 | |
---|
2948 | std::ostream& G4Sphere::StreamInfo( std::ostream& os ) const |
---|
2949 | { |
---|
2950 | os << "-----------------------------------------------------------\n" |
---|
2951 | << " *** Dump for solid - " << GetName() << " ***\n" |
---|
2952 | << " ===================================================\n" |
---|
2953 | << " Solid type: G4Sphere\n" |
---|
2954 | << " Parameters: \n" |
---|
2955 | << " inner radius: " << fRmin/mm << " mm \n" |
---|
2956 | << " outer radius: " << fRmax/mm << " mm \n" |
---|
2957 | << " starting phi of segment : " << fSPhi/degree << " degrees \n" |
---|
2958 | << " delta phi of segment : " << fDPhi/degree << " degrees \n" |
---|
2959 | << " starting theta of segment: " << fSTheta/degree << " degrees \n" |
---|
2960 | << " delta theta of segment : " << fDTheta/degree << " degrees \n" |
---|
2961 | << "-----------------------------------------------------------\n"; |
---|
2962 | |
---|
2963 | return os; |
---|
2964 | } |
---|
2965 | |
---|
2966 | //////////////////////////////////////////////////////////////////////////////// |
---|
2967 | // |
---|
2968 | // GetPointOnSurface |
---|
2969 | |
---|
2970 | G4ThreeVector G4Sphere::GetPointOnSurface() const |
---|
2971 | { |
---|
2972 | G4double zRand, aOne, aTwo, aThr, aFou, aFiv, chose, phi, sinphi, cosphi; |
---|
2973 | G4double height1, height2, slant1, slant2, costheta, sintheta,theta,rRand; |
---|
2974 | |
---|
2975 | height1 = (fRmax-fRmin)*cosSTheta; |
---|
2976 | height2 = (fRmax-fRmin)*cosETheta; |
---|
2977 | slant1 = std::sqrt(sqr((fRmax - fRmin)*sinSTheta) + height1*height1); |
---|
2978 | slant2 = std::sqrt(sqr((fRmax - fRmin)*sinETheta) + height2*height2); |
---|
2979 | rRand = RandFlat::shoot(fRmin,fRmax); |
---|
2980 | |
---|
2981 | aOne = fRmax*fRmax*fDPhi*(cosSTheta-cosETheta); |
---|
2982 | aTwo = fRmin*fRmin*fDPhi*(cosSTheta-cosETheta); |
---|
2983 | aThr = fDPhi*((fRmax + fRmin)*sinSTheta)*slant1; |
---|
2984 | aFou = fDPhi*((fRmax + fRmin)*sinETheta)*slant2; |
---|
2985 | aFiv = 0.5*fDTheta*(fRmax*fRmax-fRmin*fRmin); |
---|
2986 | |
---|
2987 | phi = RandFlat::shoot(fSPhi, ePhi); |
---|
2988 | cosphi = std::cos(phi); |
---|
2989 | sinphi = std::sin(phi); |
---|
2990 | theta = RandFlat::shoot(fSTheta,eTheta); |
---|
2991 | costheta = std::cos(theta); |
---|
2992 | sintheta = std::sqrt(1.-sqr(costheta)); |
---|
2993 | |
---|
2994 | if(fFullPhiSphere) { aFiv = 0; } |
---|
2995 | if(fSTheta == 0) { aThr=0; } |
---|
2996 | if(eTheta == pi) { aFou = 0; } |
---|
2997 | if(fSTheta == halfpi) { aThr = pi*(fRmax*fRmax-fRmin*fRmin); } |
---|
2998 | if(eTheta == halfpi) { aFou = pi*(fRmax*fRmax-fRmin*fRmin); } |
---|
2999 | |
---|
3000 | chose = RandFlat::shoot(0.,aOne+aTwo+aThr+aFou+2.*aFiv); |
---|
3001 | if( (chose>=0.) && (chose<aOne) ) |
---|
3002 | { |
---|
3003 | return G4ThreeVector(fRmax*sintheta*cosphi, |
---|
3004 | fRmax*sintheta*sinphi, fRmax*costheta); |
---|
3005 | } |
---|
3006 | else if( (chose>=aOne) && (chose<aOne+aTwo) ) |
---|
3007 | { |
---|
3008 | return G4ThreeVector(fRmin*sintheta*cosphi, |
---|
3009 | fRmin*sintheta*sinphi, fRmin*costheta); |
---|
3010 | } |
---|
3011 | else if( (chose>=aOne+aTwo) && (chose<aOne+aTwo+aThr) ) |
---|
3012 | { |
---|
3013 | if (fSTheta != halfpi) |
---|
3014 | { |
---|
3015 | zRand = RandFlat::shoot(fRmin*cosSTheta,fRmax*cosSTheta); |
---|
3016 | return G4ThreeVector(tanSTheta*zRand*cosphi, |
---|
3017 | tanSTheta*zRand*sinphi,zRand); |
---|
3018 | } |
---|
3019 | else |
---|
3020 | { |
---|
3021 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
3022 | } |
---|
3023 | } |
---|
3024 | else if( (chose>=aOne+aTwo+aThr) && (chose<aOne+aTwo+aThr+aFou) ) |
---|
3025 | { |
---|
3026 | if(eTheta != halfpi) |
---|
3027 | { |
---|
3028 | zRand = RandFlat::shoot(fRmin*cosETheta, fRmax*cosETheta); |
---|
3029 | return G4ThreeVector (tanETheta*zRand*cosphi, |
---|
3030 | tanETheta*zRand*sinphi,zRand); |
---|
3031 | } |
---|
3032 | else |
---|
3033 | { |
---|
3034 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
3035 | } |
---|
3036 | } |
---|
3037 | else if( (chose>=aOne+aTwo+aThr+aFou) && (chose<aOne+aTwo+aThr+aFou+aFiv) ) |
---|
3038 | { |
---|
3039 | return G4ThreeVector(rRand*sintheta*cosSPhi, |
---|
3040 | rRand*sintheta*sinSPhi,rRand*costheta); |
---|
3041 | } |
---|
3042 | else |
---|
3043 | { |
---|
3044 | return G4ThreeVector(rRand*sintheta*cosEPhi, |
---|
3045 | rRand*sintheta*sinEPhi,rRand*costheta); |
---|
3046 | } |
---|
3047 | } |
---|
3048 | |
---|
3049 | //////////////////////////////////////////////////////////////////////////////// |
---|
3050 | // |
---|
3051 | // GetSurfaceArea |
---|
3052 | |
---|
3053 | G4double G4Sphere::GetSurfaceArea() |
---|
3054 | { |
---|
3055 | if(fSurfaceArea != 0.) {;} |
---|
3056 | else |
---|
3057 | { |
---|
3058 | G4double Rsq=fRmax*fRmax; |
---|
3059 | G4double rsq=fRmin*fRmin; |
---|
3060 | |
---|
3061 | fSurfaceArea = fDPhi*(rsq+Rsq)*(cosSTheta - cosETheta); |
---|
3062 | if(!fFullPhiSphere) |
---|
3063 | { |
---|
3064 | fSurfaceArea = fSurfaceArea + fDTheta*(Rsq-rsq); |
---|
3065 | } |
---|
3066 | if(fSTheta >0) |
---|
3067 | { |
---|
3068 | G4double acos1=std::acos( std::pow(sinSTheta,2) * std::cos(fDPhi) |
---|
3069 | + std::pow(cosSTheta,2)); |
---|
3070 | if(fDPhi>pi) |
---|
3071 | { |
---|
3072 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*(twopi-acos1); |
---|
3073 | } |
---|
3074 | else |
---|
3075 | { |
---|
3076 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*acos1; |
---|
3077 | } |
---|
3078 | } |
---|
3079 | if(eTheta < pi) |
---|
3080 | { |
---|
3081 | G4double acos2=std::acos( std::pow(sinETheta,2) * std::cos(fDPhi) |
---|
3082 | + std::pow(cosETheta,2)); |
---|
3083 | if(fDPhi>pi) |
---|
3084 | { |
---|
3085 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*(twopi-acos2); |
---|
3086 | } |
---|
3087 | else |
---|
3088 | { |
---|
3089 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*acos2; |
---|
3090 | } |
---|
3091 | } |
---|
3092 | } |
---|
3093 | return fSurfaceArea; |
---|
3094 | } |
---|
3095 | |
---|
3096 | ///////////////////////////////////////////////////////////////////////////// |
---|
3097 | // |
---|
3098 | // Methods for visualisation |
---|
3099 | |
---|
3100 | G4VisExtent G4Sphere::GetExtent() const |
---|
3101 | { |
---|
3102 | return G4VisExtent(-fRmax, fRmax,-fRmax, fRmax,-fRmax, fRmax ); |
---|
3103 | } |
---|
3104 | |
---|
3105 | |
---|
3106 | void G4Sphere::DescribeYourselfTo ( G4VGraphicsScene& scene ) const |
---|
3107 | { |
---|
3108 | scene.AddSolid (*this); |
---|
3109 | } |
---|
3110 | |
---|
3111 | G4Polyhedron* G4Sphere::CreatePolyhedron () const |
---|
3112 | { |
---|
3113 | return new G4PolyhedronSphere (fRmin, fRmax, fSPhi, fDPhi, fSTheta, fDTheta); |
---|
3114 | } |
---|
3115 | |
---|
3116 | G4NURBS* G4Sphere::CreateNURBS () const |
---|
3117 | { |
---|
3118 | return new G4NURBSbox (fRmax, fRmax, fRmax); // Box for now!!! |
---|
3119 | } |
---|