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 1.68 2008/07/07 09:35:16 grichine Exp $ |
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28 | // GEANT4 tag $Name: HEAD $ |
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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 | // 12.06.08 V.Grichine: fix for theta intersections in DistanceToOut(p,v,...) |
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37 | // 22.07.05 O.Link : Added check for intersection with double cone |
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38 | // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal |
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39 | // 16.09.04 V.Grichine: bug fixed in SurfaceNormal(p), theta normals |
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40 | // 16.07.04 V.Grichine: bug fixed in DistanceToOut(p,v), Rmin go outside |
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41 | // 02.06.04 V.Grichine: bug fixed in DistanceToIn(p,v), on Rmax,Rmin go inside |
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42 | // 30.10.03 J.Apostolakis: new algorithm in Inside for SPhi-sections |
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43 | // 29.10.03 J.Apostolakis: fix in Inside for SPhi-0.5*kAngTol < phi < SPhi, SPhi<0 |
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44 | // 19.06.02 V.Grichine: bug fixed in Inside(p), && -> && fDTheta - kAngTolerance |
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45 | // 30.01.02 V.Grichine: bug fixed in Inside(p), && -> || at l.451 |
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46 | // 06.03.00 V.Grichine: modifications in Distance ToOut(p,v,...) |
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47 | // 18.11.99 V.Grichine: side = kNull in Distance ToOut(p,v,...) |
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48 | // 25.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), phi intersections |
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49 | // 12.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), theta intersections |
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50 | // 09.10.98 V.Grichine: modifications in DistanceToOut(p,v,...) |
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51 | // 17.09.96 V.Grichine: final modifications to commit |
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52 | // 28.03.94 P.Kent: old C++ code converted to tolerant geometry |
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53 | // -------------------------------------------------------------------- |
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54 | |
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55 | #include <assert.h> |
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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) |
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95 | { |
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96 | fEpsilon = 1.0e-14; |
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97 | |
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98 | kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance(); |
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99 | kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance(); |
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100 | |
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101 | // Check radii |
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102 | |
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103 | if (pRmin<pRmax&&pRmin>=0) |
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104 | { |
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105 | fRmin=pRmin; fRmax=pRmax; |
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106 | } |
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107 | else |
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108 | { |
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109 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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110 | << " Invalide values for radii ! - " |
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111 | << " pRmin = " << pRmin << ", pRmax = " << pRmax << G4endl; |
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112 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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113 | "Invalid radii"); |
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114 | } |
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115 | |
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116 | // Check angles |
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117 | |
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118 | if (pDPhi>=twopi) |
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119 | { |
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120 | fDPhi=twopi; |
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121 | } |
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122 | else if (pDPhi>0) |
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123 | { |
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124 | fDPhi=pDPhi; |
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125 | } |
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126 | else |
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127 | { |
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128 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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129 | << " Negative Z delta-Phi ! - " |
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130 | << pDPhi << G4endl; |
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131 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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132 | "Invalid DPhi."); |
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133 | } |
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134 | |
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135 | // Convert fSPhi to 0-2PI |
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136 | |
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137 | if (pSPhi<0) |
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138 | { |
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139 | fSPhi=twopi-std::fmod(std::fabs(pSPhi),twopi); |
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140 | } |
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141 | else |
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142 | { |
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143 | fSPhi=std::fmod(pSPhi,twopi); |
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144 | } |
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145 | |
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146 | // Sphere is placed such that fSPhi+fDPhi>twopi ! |
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147 | // fSPhi could be < 0 !!? |
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148 | // |
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149 | if (fSPhi+fDPhi>twopi) fSPhi-=twopi; |
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150 | |
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151 | // Check theta angles |
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152 | |
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153 | if (pSTheta<0 || pSTheta>pi) |
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154 | { |
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155 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl; |
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156 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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157 | "stheta outside 0-PI range."); |
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158 | } |
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159 | else |
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160 | { |
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161 | fSTheta=pSTheta; |
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162 | } |
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163 | |
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164 | if (pDTheta+pSTheta>=pi) |
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165 | { |
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166 | fDTheta=pi-pSTheta; |
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167 | } |
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168 | else if (pDTheta>0) |
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169 | { |
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170 | fDTheta=pDTheta; |
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171 | } |
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172 | else |
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173 | { |
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174 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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175 | << " Negative delta-Theta ! - " |
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176 | << pDTheta << G4endl; |
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177 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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178 | "Invalid pDTheta."); |
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179 | } |
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180 | } |
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181 | |
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182 | /////////////////////////////////////////////////////////////////////// |
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183 | // |
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184 | // Fake default constructor - sets only member data and allocates memory |
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185 | // for usage restricted to object persistency. |
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186 | // |
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187 | G4Sphere::G4Sphere( __void__& a ) |
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188 | : G4CSGSolid(a) |
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189 | { |
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190 | } |
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191 | |
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192 | ///////////////////////////////////////////////////////////////////// |
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193 | // |
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194 | // Destructor |
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195 | |
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196 | G4Sphere::~G4Sphere() |
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197 | { |
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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 | // Dispatch to parameterisation for replication mechanism dimension |
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203 | // computation & modification. |
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204 | |
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205 | void G4Sphere::ComputeDimensions( G4VPVParameterisation* p, |
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206 | const G4int n, |
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207 | const G4VPhysicalVolume* pRep) |
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208 | { |
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209 | p->ComputeDimensions(*this,n,pRep); |
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210 | } |
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211 | |
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212 | //////////////////////////////////////////////////////////////////////////// |
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213 | // |
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214 | // Calculate extent under transform and specified limit |
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215 | |
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216 | G4bool G4Sphere::CalculateExtent( const EAxis pAxis, |
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217 | const G4VoxelLimits& pVoxelLimit, |
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218 | const G4AffineTransform& pTransform, |
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219 | G4double& pMin, G4double& pMax ) const |
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220 | { |
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221 | if ( fDPhi==twopi && fDTheta==pi) // !pTransform.IsRotated() && |
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222 | { |
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223 | // Special case handling for solid spheres-shells |
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224 | // (rotation doesn't influence). |
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225 | // Compute x/y/z mins and maxs for bounding box respecting limits, |
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226 | // with early returns if outside limits. Then switch() on pAxis, |
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227 | // and compute exact x and y limit for x/y case |
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228 | |
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229 | G4double xoffset,xMin,xMax; |
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230 | G4double yoffset,yMin,yMax; |
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231 | G4double zoffset,zMin,zMax; |
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232 | |
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233 | G4double diff1,diff2,maxDiff,newMin,newMax; |
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234 | G4double xoff1,xoff2,yoff1,yoff2; |
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235 | |
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236 | xoffset=pTransform.NetTranslation().x(); |
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237 | xMin=xoffset-fRmax; |
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238 | xMax=xoffset+fRmax; |
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239 | if (pVoxelLimit.IsXLimited()) |
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240 | { |
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241 | if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance) |
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242 | || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) ) |
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243 | { |
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244 | return false; |
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245 | } |
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246 | else |
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247 | { |
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248 | if (xMin<pVoxelLimit.GetMinXExtent()) |
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249 | { |
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250 | xMin=pVoxelLimit.GetMinXExtent(); |
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251 | } |
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252 | if (xMax>pVoxelLimit.GetMaxXExtent()) |
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253 | { |
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254 | xMax=pVoxelLimit.GetMaxXExtent(); |
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255 | } |
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256 | } |
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257 | } |
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258 | |
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259 | yoffset=pTransform.NetTranslation().y(); |
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260 | yMin=yoffset-fRmax; |
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261 | yMax=yoffset+fRmax; |
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262 | if (pVoxelLimit.IsYLimited()) |
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263 | { |
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264 | if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance) |
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265 | || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) ) |
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266 | { |
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267 | return false; |
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268 | } |
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269 | else |
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270 | { |
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271 | if (yMin<pVoxelLimit.GetMinYExtent()) |
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272 | { |
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273 | yMin=pVoxelLimit.GetMinYExtent(); |
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274 | } |
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275 | if (yMax>pVoxelLimit.GetMaxYExtent()) |
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276 | { |
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277 | yMax=pVoxelLimit.GetMaxYExtent(); |
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278 | } |
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279 | } |
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280 | } |
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281 | |
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282 | zoffset=pTransform.NetTranslation().z(); |
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283 | zMin=zoffset-fRmax; |
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284 | zMax=zoffset+fRmax; |
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285 | if (pVoxelLimit.IsZLimited()) |
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286 | { |
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287 | if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance) |
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288 | || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) ) |
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289 | { |
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290 | return false; |
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291 | } |
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292 | else |
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293 | { |
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294 | if (zMin<pVoxelLimit.GetMinZExtent()) |
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295 | { |
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296 | zMin=pVoxelLimit.GetMinZExtent(); |
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297 | } |
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298 | if (zMax>pVoxelLimit.GetMaxZExtent()) |
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299 | { |
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300 | zMax=pVoxelLimit.GetMaxZExtent(); |
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301 | } |
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302 | } |
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303 | } |
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304 | |
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305 | // Known to cut sphere |
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306 | |
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307 | switch (pAxis) |
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308 | { |
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309 | case kXAxis: |
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310 | yoff1=yoffset-yMin; |
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311 | yoff2=yMax-yoffset; |
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312 | if (yoff1>=0&&yoff2>=0) |
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313 | { |
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314 | // Y limits cross max/min x => no change |
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315 | // |
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316 | pMin=xMin; |
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317 | pMax=xMax; |
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318 | } |
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319 | else |
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320 | { |
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321 | // Y limits don't cross max/min x => compute max delta x, |
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322 | // hence new mins/maxs |
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323 | // |
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324 | diff1=std::sqrt(fRmax*fRmax-yoff1*yoff1); |
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325 | diff2=std::sqrt(fRmax*fRmax-yoff2*yoff2); |
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326 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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327 | newMin=xoffset-maxDiff; |
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328 | newMax=xoffset+maxDiff; |
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329 | pMin=(newMin<xMin) ? xMin : newMin; |
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330 | pMax=(newMax>xMax) ? xMax : newMax; |
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331 | } |
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332 | break; |
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333 | case kYAxis: |
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334 | xoff1=xoffset-xMin; |
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335 | xoff2=xMax-xoffset; |
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336 | if (xoff1>=0&&xoff2>=0) |
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337 | { |
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338 | // X limits cross max/min y => no change |
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339 | // |
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340 | pMin=yMin; |
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341 | pMax=yMax; |
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342 | } |
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343 | else |
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344 | { |
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345 | // X limits don't cross max/min y => compute max delta y, |
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346 | // hence new mins/maxs |
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347 | // |
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348 | diff1=std::sqrt(fRmax*fRmax-xoff1*xoff1); |
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349 | diff2=std::sqrt(fRmax*fRmax-xoff2*xoff2); |
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350 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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351 | newMin=yoffset-maxDiff; |
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352 | newMax=yoffset+maxDiff; |
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353 | pMin=(newMin<yMin) ? yMin : newMin; |
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354 | pMax=(newMax>yMax) ? yMax : newMax; |
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355 | } |
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356 | break; |
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357 | case kZAxis: |
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358 | pMin=zMin; |
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359 | pMax=zMax; |
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360 | break; |
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361 | default: |
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362 | break; |
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363 | } |
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364 | pMin-=kCarTolerance; |
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365 | pMax+=kCarTolerance; |
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366 | |
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367 | return true; |
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368 | } |
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369 | else // Transformed cutted sphere |
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370 | { |
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371 | G4int i,j,noEntries,noBetweenSections; |
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372 | G4bool existsAfterClip=false; |
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373 | |
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374 | // Calculate rotated vertex coordinates |
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375 | |
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376 | G4ThreeVectorList* vertices; |
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377 | G4int noPolygonVertices ; |
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378 | vertices=CreateRotatedVertices(pTransform,noPolygonVertices); |
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379 | |
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380 | pMin=+kInfinity; |
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381 | pMax=-kInfinity; |
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382 | |
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383 | noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections |
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384 | noBetweenSections=noEntries-noPolygonVertices; |
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385 | |
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386 | G4ThreeVectorList ThetaPolygon ; |
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387 | for (i=0;i<noEntries;i+=noPolygonVertices) |
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388 | { |
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389 | for(j=0;j<(noPolygonVertices/2)-1;j++) |
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390 | { |
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391 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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392 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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393 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]) ; |
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394 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]) ; |
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395 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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396 | ThetaPolygon.clear() ; |
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397 | } |
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398 | } |
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399 | for (i=0;i<noBetweenSections;i+=noPolygonVertices) |
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400 | { |
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401 | for(j=0;j<noPolygonVertices-1;j++) |
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402 | { |
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403 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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404 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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405 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]) ; |
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406 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]) ; |
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407 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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408 | ThetaPolygon.clear() ; |
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409 | } |
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410 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]) ; |
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411 | ThetaPolygon.push_back((*vertices)[i]) ; |
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412 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]) ; |
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413 | ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]) ; |
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414 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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415 | ThetaPolygon.clear() ; |
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416 | } |
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417 | |
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418 | if (pMin!=kInfinity || pMax!=-kInfinity) |
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419 | { |
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420 | existsAfterClip=true; |
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421 | |
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422 | // Add 2*tolerance to avoid precision troubles |
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423 | // |
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424 | pMin-=kCarTolerance; |
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425 | pMax+=kCarTolerance; |
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426 | } |
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427 | else |
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428 | { |
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429 | // Check for case where completely enveloping clipping volume |
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430 | // If point inside then we are confident that the solid completely |
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431 | // envelopes the clipping volume. Hence set min/max extents according |
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432 | // to clipping volume extents along the specified axis. |
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433 | |
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434 | G4ThreeVector clipCentre( |
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435 | (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5, |
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436 | (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5, |
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437 | (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5); |
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438 | |
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439 | if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside) |
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440 | { |
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441 | existsAfterClip=true; |
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442 | pMin=pVoxelLimit.GetMinExtent(pAxis); |
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443 | pMax=pVoxelLimit.GetMaxExtent(pAxis); |
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444 | } |
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445 | } |
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446 | delete vertices; |
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447 | return existsAfterClip; |
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448 | } |
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449 | } |
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450 | |
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451 | /////////////////////////////////////////////////////////////////////////// |
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452 | // |
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453 | // Return whether point inside/outside/on surface |
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454 | // Split into radius, phi, theta checks |
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455 | // Each check modifies `in', or returns as approprate |
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456 | |
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457 | EInside G4Sphere::Inside( const G4ThreeVector& p ) const |
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458 | { |
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459 | G4double rho,rho2,rad2,tolRMin,tolRMax; |
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460 | G4double pPhi,pTheta; |
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461 | EInside in=kOutside; |
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462 | |
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463 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
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464 | rad2 = rho2 + p.z()*p.z() ; |
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465 | |
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466 | // if(rad2 >= 1.369e+19) DBG(); |
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467 | // G4double rad = std::sqrt(rad2); |
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468 | // Check radial surfaces |
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469 | // sets `in' |
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470 | |
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471 | if ( fRmin ) tolRMin = fRmin + kRadTolerance*0.5; |
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472 | else tolRMin = 0 ; |
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473 | |
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474 | tolRMax = fRmax - kRadTolerance*0.5 ; |
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475 | // const G4double fractionTolerance = 1.0e-12; |
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476 | const G4double flexRadMaxTolerance = // kRadTolerance; |
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477 | std::max(kRadTolerance, fEpsilon * fRmax); |
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478 | |
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479 | const G4double Rmax_minus = fRmax - flexRadMaxTolerance*0.5; |
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480 | const G4double flexRadMinTolerance = std::max(kRadTolerance, |
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481 | fEpsilon * fRmin); |
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482 | const G4double Rmin_plus = (fRmin > 0) ? fRmin + flexRadMinTolerance*0.5 : 0 ; |
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483 | |
---|
484 | if(rad2 <= Rmax_minus*Rmax_minus && rad2 >= Rmin_plus*Rmin_plus) in = kInside ; |
---|
485 | |
---|
486 | // if ( rad2 <= tolRMax*tolRMax && rad2 >= tolRMin*tolRMin ) in = kInside ; |
---|
487 | // if ( rad <= tolRMax && rad >= tolRMin ) in = kInside ; |
---|
488 | else |
---|
489 | { |
---|
490 | tolRMax = fRmax + kRadTolerance*0.5 ; |
---|
491 | tolRMin = fRmin - kRadTolerance*0.5 ; |
---|
492 | |
---|
493 | if ( tolRMin < 0.0 ) tolRMin = 0.0 ; |
---|
494 | |
---|
495 | if ( rad2 <= tolRMax*tolRMax && rad2 >= tolRMin*tolRMin ) in = kSurface ; |
---|
496 | // if ( rad <= tolRMax && rad >= tolRMin ) in = kSurface ; |
---|
497 | else return in = kOutside ; |
---|
498 | } |
---|
499 | |
---|
500 | // Phi boundaries : Do not check if it has no phi boundary! |
---|
501 | // (in != kOutside). It is new J.Apostolakis proposal of 30.10.03 |
---|
502 | |
---|
503 | if ( ( fDPhi < twopi - kAngTolerance ) && |
---|
504 | ( (p.x() != 0.0 ) || (p.y() != 0.0) ) ) |
---|
505 | { |
---|
506 | pPhi = std::atan2(p.y(),p.x()) ; |
---|
507 | |
---|
508 | if ( pPhi < fSPhi - kAngTolerance*0.5 ) pPhi += twopi ; |
---|
509 | else if ( pPhi > fSPhi + fDPhi + kAngTolerance*0.5 ) pPhi -= twopi; |
---|
510 | |
---|
511 | if ((pPhi < fSPhi - kAngTolerance*0.5) || |
---|
512 | (pPhi > fSPhi + fDPhi + kAngTolerance*0.5) ) return in = kOutside ; |
---|
513 | |
---|
514 | else if (in == kInside) // else it's kSurface anyway already |
---|
515 | { |
---|
516 | if ( (pPhi < fSPhi + kAngTolerance*0.5) || |
---|
517 | (pPhi > fSPhi + fDPhi - kAngTolerance*0.5) ) in = kSurface ; |
---|
518 | } |
---|
519 | } |
---|
520 | |
---|
521 | // Theta bondaries |
---|
522 | // (in!=kOutside) |
---|
523 | |
---|
524 | if ( (rho2 || p.z()) && fDTheta < pi - kAngTolerance*0.5 ) |
---|
525 | { |
---|
526 | rho = std::sqrt(rho2); |
---|
527 | pTheta = std::atan2(rho,p.z()); |
---|
528 | |
---|
529 | if ( in == kInside ) |
---|
530 | { |
---|
531 | if ( (pTheta < fSTheta + kAngTolerance*0.5) |
---|
532 | || (pTheta > fSTheta + fDTheta - kAngTolerance*0.5) ) |
---|
533 | { |
---|
534 | if ( (pTheta >= fSTheta - kAngTolerance*0.5) |
---|
535 | && (pTheta <= fSTheta + fDTheta + kAngTolerance*0.5) ) |
---|
536 | { |
---|
537 | in = kSurface ; |
---|
538 | } |
---|
539 | else |
---|
540 | { |
---|
541 | in = kOutside ; |
---|
542 | } |
---|
543 | } |
---|
544 | } |
---|
545 | else |
---|
546 | { |
---|
547 | if ( (pTheta < fSTheta - kAngTolerance*0.5) |
---|
548 | || (pTheta > fSTheta + fDTheta + kAngTolerance*0.5) ) |
---|
549 | { |
---|
550 | in = kOutside ; |
---|
551 | } |
---|
552 | } |
---|
553 | } |
---|
554 | return in; |
---|
555 | } |
---|
556 | |
---|
557 | ///////////////////////////////////////////////////////////////////// |
---|
558 | // |
---|
559 | // Return unit normal of surface closest to p |
---|
560 | // - note if point on z axis, ignore phi divided sides |
---|
561 | // - unsafe if point close to z axis a rmin=0 - no explicit checks |
---|
562 | |
---|
563 | G4ThreeVector G4Sphere::SurfaceNormal( const G4ThreeVector& p ) const |
---|
564 | { |
---|
565 | G4int noSurfaces = 0; |
---|
566 | G4double rho, rho2, rad, pTheta, pPhi=0.; |
---|
567 | G4double distRMin = kInfinity; |
---|
568 | G4double distSPhi = kInfinity, distEPhi = kInfinity; |
---|
569 | G4double distSTheta = kInfinity, distETheta = kInfinity; |
---|
570 | G4double delta = 0.5*kCarTolerance, dAngle = 0.5*kAngTolerance; |
---|
571 | G4ThreeVector nR, nPs, nPe, nTs, nTe, nZ(0.,0.,1.); |
---|
572 | G4ThreeVector norm, sumnorm(0.,0.,0.); |
---|
573 | |
---|
574 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
575 | rad = std::sqrt(rho2+p.z()*p.z()); |
---|
576 | rho = std::sqrt(rho2); |
---|
577 | |
---|
578 | G4double distRMax = std::fabs(rad-fRmax); |
---|
579 | if (fRmin) distRMin = std::fabs(rad-fRmin); |
---|
580 | |
---|
581 | if ( rho && (fDPhi < twopi || fDTheta < pi) ) |
---|
582 | { |
---|
583 | pPhi = std::atan2(p.y(),p.x()); |
---|
584 | |
---|
585 | if(pPhi < fSPhi-dAngle) pPhi += twopi; |
---|
586 | else if(pPhi > fSPhi+fDPhi+dAngle) pPhi -= twopi; |
---|
587 | } |
---|
588 | if ( fDPhi < twopi ) // && rho ) // old limitation against (0,0,z) |
---|
589 | { |
---|
590 | if ( rho ) |
---|
591 | { |
---|
592 | distSPhi = std::fabs( pPhi - fSPhi ); |
---|
593 | distEPhi = std::fabs(pPhi-fSPhi-fDPhi); |
---|
594 | } |
---|
595 | else if( !fRmin ) |
---|
596 | { |
---|
597 | distSPhi = 0.; |
---|
598 | distEPhi = 0.; |
---|
599 | } |
---|
600 | nPs = G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0); |
---|
601 | nPe = G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0); |
---|
602 | } |
---|
603 | if ( fDTheta < pi ) // && rad ) // old limitation against (0,0,0) |
---|
604 | { |
---|
605 | if ( rho ) |
---|
606 | { |
---|
607 | pTheta = std::atan2(rho,p.z()); |
---|
608 | distSTheta = std::fabs(pTheta-fSTheta); |
---|
609 | distETheta = std::fabs(pTheta-fSTheta-fDTheta); |
---|
610 | |
---|
611 | nTs = G4ThreeVector(-std::cos(fSTheta)*p.x()/rho, // *std::cos(pPhi), |
---|
612 | -std::cos(fSTheta)*p.y()/rho, // *std::sin(pPhi), |
---|
613 | std::sin(fSTheta) ); |
---|
614 | |
---|
615 | nTe = G4ThreeVector( std::cos(fSTheta+fDTheta)*p.x()/rho, // *std::cos(pPhi), |
---|
616 | std::cos(fSTheta+fDTheta)*p.y()/rho, // *std::sin(pPhi), |
---|
617 | -std::sin(fSTheta+fDTheta) ); |
---|
618 | } |
---|
619 | else if( !fRmin ) |
---|
620 | { |
---|
621 | if ( fSTheta ) |
---|
622 | { |
---|
623 | distSTheta = 0.; |
---|
624 | nTs = G4ThreeVector(0.,0.,-1.); |
---|
625 | } |
---|
626 | if ( fSTheta + fDTheta < pi ) // distETheta = 0.; |
---|
627 | { |
---|
628 | distETheta = 0.; |
---|
629 | nTe = G4ThreeVector(0.,0.,1.); |
---|
630 | } |
---|
631 | } |
---|
632 | } |
---|
633 | if( rad ) nR = G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); |
---|
634 | |
---|
635 | if( distRMax <= delta ) |
---|
636 | { |
---|
637 | noSurfaces ++; |
---|
638 | sumnorm += nR; |
---|
639 | } |
---|
640 | if( fRmin && distRMin <= delta ) |
---|
641 | { |
---|
642 | noSurfaces ++; |
---|
643 | sumnorm -= nR; |
---|
644 | } |
---|
645 | if( fDPhi < twopi ) |
---|
646 | { |
---|
647 | if (distSPhi <= dAngle) |
---|
648 | { |
---|
649 | noSurfaces ++; |
---|
650 | sumnorm += nPs; |
---|
651 | } |
---|
652 | if (distEPhi <= dAngle) |
---|
653 | { |
---|
654 | noSurfaces ++; |
---|
655 | sumnorm += nPe; |
---|
656 | } |
---|
657 | } |
---|
658 | if ( fDTheta < pi ) |
---|
659 | { |
---|
660 | if (distSTheta <= dAngle && fSTheta > 0.) |
---|
661 | { |
---|
662 | noSurfaces ++; |
---|
663 | if( rad <= delta && fDPhi >= twopi) sumnorm += nZ; |
---|
664 | else sumnorm += nTs; |
---|
665 | } |
---|
666 | if (distETheta <= dAngle && fSTheta+fDTheta < pi) |
---|
667 | { |
---|
668 | noSurfaces ++; |
---|
669 | if( rad <= delta && fDPhi >= twopi) sumnorm -= nZ; |
---|
670 | else sumnorm += nTe; |
---|
671 | if(sumnorm.z() == 0.) sumnorm += nZ; |
---|
672 | } |
---|
673 | } |
---|
674 | if ( noSurfaces == 0 ) |
---|
675 | { |
---|
676 | #ifdef G4CSGDEBUG |
---|
677 | G4Exception("G4Sphere::SurfaceNormal(p)", "Notification", JustWarning, |
---|
678 | "Point p is not on surface !?" ); |
---|
679 | #endif |
---|
680 | norm = ApproxSurfaceNormal(p); |
---|
681 | } |
---|
682 | else if ( noSurfaces == 1 ) norm = sumnorm; |
---|
683 | else norm = sumnorm.unit(); |
---|
684 | return norm; |
---|
685 | } |
---|
686 | |
---|
687 | |
---|
688 | ///////////////////////////////////////////////////////////////////////////////////////////// |
---|
689 | // |
---|
690 | // Algorithm for SurfaceNormal() following the original specification |
---|
691 | // for points not on the surface |
---|
692 | |
---|
693 | G4ThreeVector G4Sphere::ApproxSurfaceNormal( const G4ThreeVector& p ) const |
---|
694 | { |
---|
695 | ENorm side; |
---|
696 | G4ThreeVector norm; |
---|
697 | G4double rho,rho2,rad,pPhi,pTheta; |
---|
698 | G4double distRMin,distRMax,distSPhi,distEPhi, |
---|
699 | distSTheta,distETheta,distMin; |
---|
700 | |
---|
701 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
702 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
703 | rho=std::sqrt(rho2); |
---|
704 | |
---|
705 | // |
---|
706 | // Distance to r shells |
---|
707 | // |
---|
708 | |
---|
709 | distRMax=std::fabs(rad-fRmax); |
---|
710 | if (fRmin) |
---|
711 | { |
---|
712 | distRMin=std::fabs(rad-fRmin); |
---|
713 | |
---|
714 | if (distRMin<distRMax) |
---|
715 | { |
---|
716 | distMin=distRMin; |
---|
717 | side=kNRMin; |
---|
718 | } |
---|
719 | else |
---|
720 | { |
---|
721 | distMin=distRMax; |
---|
722 | side=kNRMax; |
---|
723 | } |
---|
724 | } |
---|
725 | else |
---|
726 | { |
---|
727 | distMin=distRMax; |
---|
728 | side=kNRMax; |
---|
729 | } |
---|
730 | |
---|
731 | // |
---|
732 | // Distance to phi planes |
---|
733 | // |
---|
734 | // Protected against (0,0,z) |
---|
735 | |
---|
736 | pPhi = std::atan2(p.y(),p.x()); |
---|
737 | if (pPhi<0) pPhi += twopi; |
---|
738 | |
---|
739 | if (fDPhi<twopi&&rho) |
---|
740 | { |
---|
741 | if (fSPhi<0) |
---|
742 | { |
---|
743 | distSPhi=std::fabs(pPhi-(fSPhi+twopi))*rho; |
---|
744 | } |
---|
745 | else |
---|
746 | { |
---|
747 | distSPhi=std::fabs(pPhi-fSPhi)*rho; |
---|
748 | } |
---|
749 | |
---|
750 | distEPhi=std::fabs(pPhi-fSPhi-fDPhi)*rho; |
---|
751 | |
---|
752 | // Find new minimum |
---|
753 | // |
---|
754 | if (distSPhi<distEPhi) |
---|
755 | { |
---|
756 | if (distSPhi<distMin) |
---|
757 | { |
---|
758 | distMin=distSPhi; |
---|
759 | side=kNSPhi; |
---|
760 | } |
---|
761 | } |
---|
762 | else |
---|
763 | { |
---|
764 | if (distEPhi<distMin) |
---|
765 | { |
---|
766 | distMin=distEPhi; |
---|
767 | side=kNEPhi; |
---|
768 | } |
---|
769 | } |
---|
770 | } |
---|
771 | |
---|
772 | // |
---|
773 | // Distance to theta planes |
---|
774 | // |
---|
775 | |
---|
776 | if (fDTheta<pi&&rad) |
---|
777 | { |
---|
778 | pTheta=std::atan2(rho,p.z()); |
---|
779 | distSTheta=std::fabs(pTheta-fSTheta)*rad; |
---|
780 | distETheta=std::fabs(pTheta-fSTheta-fDTheta)*rad; |
---|
781 | |
---|
782 | // Find new minimum |
---|
783 | // |
---|
784 | if (distSTheta<distETheta) |
---|
785 | { |
---|
786 | if (distSTheta<distMin) |
---|
787 | { |
---|
788 | distMin = distSTheta ; |
---|
789 | side = kNSTheta ; |
---|
790 | } |
---|
791 | } |
---|
792 | else |
---|
793 | { |
---|
794 | if (distETheta<distMin) |
---|
795 | { |
---|
796 | distMin = distETheta ; |
---|
797 | side = kNETheta ; |
---|
798 | } |
---|
799 | } |
---|
800 | } |
---|
801 | |
---|
802 | switch (side) |
---|
803 | { |
---|
804 | case kNRMin: // Inner radius |
---|
805 | norm=G4ThreeVector(-p.x()/rad,-p.y()/rad,-p.z()/rad); |
---|
806 | break; |
---|
807 | case kNRMax: // Outer radius |
---|
808 | norm=G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); |
---|
809 | break; |
---|
810 | case kNSPhi: |
---|
811 | norm=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0); |
---|
812 | break; |
---|
813 | case kNEPhi: |
---|
814 | norm=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0); |
---|
815 | break; |
---|
816 | case kNSTheta: |
---|
817 | norm=G4ThreeVector(-std::cos(fSTheta)*std::cos(pPhi), |
---|
818 | -std::cos(fSTheta)*std::sin(pPhi), |
---|
819 | std::sin(fSTheta) ); |
---|
820 | // G4cout<<G4endl<<" case kNSTheta:"<<G4endl; |
---|
821 | // G4cout<<"pPhi = "<<pPhi<<G4endl; |
---|
822 | // G4cout<<"rad = "<<rad<<G4endl; |
---|
823 | // G4cout<<"pho = "<<rho<<G4endl; |
---|
824 | // G4cout<<"p: "<<p.x()<<"; "<<p.y()<<"; "<<p.z()<<G4endl; |
---|
825 | // G4cout<<"norm: "<<norm.x()<<"; "<<norm.y()<<"; "<<norm.z()<<G4endl; |
---|
826 | break; |
---|
827 | case kNETheta: |
---|
828 | norm=G4ThreeVector( std::cos(fSTheta+fDTheta)*std::cos(pPhi), |
---|
829 | std::cos(fSTheta+fDTheta)*std::sin(pPhi), |
---|
830 | -std::sin(fSTheta+fDTheta) ); |
---|
831 | |
---|
832 | // G4cout<<G4endl<<" case kNETheta:"<<G4endl; |
---|
833 | // G4cout<<"pPhi = "<<pPhi<<G4endl; |
---|
834 | // G4cout<<"rad = "<<rad<<G4endl; |
---|
835 | // G4cout<<"pho = "<<rho<<G4endl; |
---|
836 | // G4cout<<"p: "<<p.x()<<"; "<<p.y()<<"; "<<p.z()<<G4endl; |
---|
837 | // G4cout<<"norm: "<<norm.x()<<"; "<<norm.y()<<"; "<<norm.z()<<G4endl; |
---|
838 | break; |
---|
839 | default: |
---|
840 | DumpInfo(); |
---|
841 | G4Exception("G4Sphere::ApproxSurfaceNormal()", "Notification", JustWarning, |
---|
842 | "Undefined side for valid surface normal to solid."); |
---|
843 | break; |
---|
844 | } // end case |
---|
845 | |
---|
846 | return norm; |
---|
847 | } |
---|
848 | |
---|
849 | /////////////////////////////////////////////////////////////////////////////// |
---|
850 | // |
---|
851 | // Calculate distance to shape from outside, along normalised vector |
---|
852 | // - return kInfinity if no intersection, or intersection distance <= tolerance |
---|
853 | // |
---|
854 | // -> If point is outside outer radius, compute intersection with rmax |
---|
855 | // - if no intersection return |
---|
856 | // - if valid phi,theta return intersection Dist |
---|
857 | // |
---|
858 | // -> If shell, compute intersection with inner radius, taking largest +ve root |
---|
859 | // - if valid phi,theta, save intersection |
---|
860 | // |
---|
861 | // -> If phi segmented, compute intersection with phi half planes |
---|
862 | // - if valid intersection(r,theta), return smallest intersection of |
---|
863 | // inner shell & phi intersection |
---|
864 | // |
---|
865 | // -> If theta segmented, compute intersection with theta cones |
---|
866 | // - if valid intersection(r,phi), return smallest intersection of |
---|
867 | // inner shell & theta intersection |
---|
868 | // |
---|
869 | // |
---|
870 | // NOTE: |
---|
871 | // - `if valid' (above) implies tolerant checking of intersection points |
---|
872 | // |
---|
873 | // OPT: |
---|
874 | // Move tolIO/ORmin/RMax2 precalcs to where they are needed - |
---|
875 | // not required for most cases. |
---|
876 | // Avoid atan2 for non theta cut G4Sphere. |
---|
877 | |
---|
878 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p, |
---|
879 | const G4ThreeVector& v ) const |
---|
880 | { |
---|
881 | G4double snxt = kInfinity ; // snxt = default return value |
---|
882 | |
---|
883 | G4double rho2, rad2, pDotV2d, pDotV3d, pTheta ; |
---|
884 | |
---|
885 | G4double tolIRMin2, tolORMin2, tolORMax2, tolIRMax2 ; |
---|
886 | G4double tolSTheta=0., tolETheta=0. ; |
---|
887 | |
---|
888 | // Intersection point |
---|
889 | |
---|
890 | G4double xi, yi, zi, rhoi, rhoi2, radi2, iTheta ; |
---|
891 | |
---|
892 | // Phi intersection |
---|
893 | |
---|
894 | G4double sinSPhi, cosSPhi, ePhi, sinEPhi, cosEPhi , Comp ; |
---|
895 | |
---|
896 | // Phi flag and precalcs |
---|
897 | |
---|
898 | G4bool segPhi ; |
---|
899 | G4double hDPhi, hDPhiOT, hDPhiIT, cPhi, sinCPhi=0., cosCPhi=0. ; |
---|
900 | G4double cosHDPhiOT=0., cosHDPhiIT=0. ; |
---|
901 | G4double Dist, cosPsi ; |
---|
902 | |
---|
903 | G4bool segTheta ; // Theta flag and precals |
---|
904 | G4double tanSTheta, tanETheta ; |
---|
905 | G4double tanSTheta2, tanETheta2 ; |
---|
906 | G4double dist2STheta, dist2ETheta ; |
---|
907 | G4double t1, t2, b, c, d2, d, s = kInfinity ; |
---|
908 | |
---|
909 | // General Precalcs |
---|
910 | |
---|
911 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
---|
912 | rad2 = rho2 + p.z()*p.z() ; |
---|
913 | pTheta = std::atan2(std::sqrt(rho2),p.z()) ; |
---|
914 | |
---|
915 | pDotV2d = p.x()*v.x() + p.y()*v.y() ; |
---|
916 | pDotV3d = pDotV2d + p.z()*v.z() ; |
---|
917 | |
---|
918 | // Radial Precalcs |
---|
919 | |
---|
920 | if (fRmin > kRadTolerance*0.5) |
---|
921 | { |
---|
922 | tolORMin2=(fRmin-kRadTolerance*0.5)*(fRmin-kRadTolerance*0.5); |
---|
923 | } |
---|
924 | else |
---|
925 | { |
---|
926 | tolORMin2 = 0 ; |
---|
927 | } |
---|
928 | tolIRMin2 = (fRmin+kRadTolerance*0.5)*(fRmin+kRadTolerance*0.5) ; |
---|
929 | tolORMax2 = (fRmax+kRadTolerance*0.5)*(fRmax+kRadTolerance*0.5) ; |
---|
930 | tolIRMax2 = (fRmax-kRadTolerance*0.5)*(fRmax-kRadTolerance*0.5) ; |
---|
931 | |
---|
932 | // Set phi divided flag and precalcs |
---|
933 | |
---|
934 | if (fDPhi < twopi) |
---|
935 | { |
---|
936 | segPhi = true ; |
---|
937 | hDPhi = 0.5*fDPhi ; // half delta phi |
---|
938 | cPhi = fSPhi + hDPhi ; |
---|
939 | |
---|
940 | hDPhiOT = hDPhi+0.5*kAngTolerance; // Outer Tolerant half delta phi |
---|
941 | hDPhiIT = hDPhi-0.5*kAngTolerance; |
---|
942 | |
---|
943 | sinCPhi = std::sin(cPhi) ; |
---|
944 | cosCPhi = std::cos(cPhi) ; |
---|
945 | cosHDPhiOT = std::cos(hDPhiOT) ; |
---|
946 | cosHDPhiIT = std::cos(hDPhiIT) ; |
---|
947 | } |
---|
948 | else |
---|
949 | { |
---|
950 | segPhi = false ; |
---|
951 | } |
---|
952 | |
---|
953 | // Theta precalcs |
---|
954 | |
---|
955 | if (fDTheta < pi ) |
---|
956 | { |
---|
957 | segTheta = true ; |
---|
958 | tolSTheta = fSTheta - kAngTolerance*0.5 ; |
---|
959 | tolETheta = fSTheta + fDTheta + kAngTolerance*0.5 ; |
---|
960 | } |
---|
961 | else |
---|
962 | { |
---|
963 | segTheta = false ; |
---|
964 | } |
---|
965 | |
---|
966 | // Outer spherical shell intersection |
---|
967 | // - Only if outside tolerant fRmax |
---|
968 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
969 | // - No intersect -> no intersection with G4Sphere |
---|
970 | // |
---|
971 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
972 | // |
---|
973 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
974 | // |
---|
975 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
976 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
977 | // |
---|
978 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
979 | |
---|
980 | c = rad2 - fRmax*fRmax ; |
---|
981 | const G4double flexRadMaxTolerance = // kRadTolerance; |
---|
982 | std::max(kRadTolerance, fEpsilon * fRmax); |
---|
983 | |
---|
984 | // if (c > kRadTolerance*fRmax) |
---|
985 | if (c > flexRadMaxTolerance*fRmax) |
---|
986 | { |
---|
987 | // If outside toleranct boundary of outer G4Sphere |
---|
988 | // [should be std::sqrt(rad2)-fRmax > kRadTolerance*0.5] |
---|
989 | |
---|
990 | d2 = pDotV3d*pDotV3d - c ; |
---|
991 | |
---|
992 | if ( d2 >= 0 ) |
---|
993 | { |
---|
994 | s = -pDotV3d - std::sqrt(d2) ; |
---|
995 | |
---|
996 | if (s >= 0 ) |
---|
997 | { |
---|
998 | xi = p.x() + s*v.x() ; |
---|
999 | yi = p.y() + s*v.y() ; |
---|
1000 | rhoi = std::sqrt(xi*xi + yi*yi) ; |
---|
1001 | |
---|
1002 | if (segPhi && rhoi) // Check phi intersection |
---|
1003 | { |
---|
1004 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
1005 | |
---|
1006 | if (cosPsi >= cosHDPhiOT) |
---|
1007 | { |
---|
1008 | if (segTheta) // Check theta intersection |
---|
1009 | { |
---|
1010 | zi = p.z() + s*v.z() ; |
---|
1011 | |
---|
1012 | // rhoi & zi can never both be 0 |
---|
1013 | // (=>intersect at origin =>fRmax=0) |
---|
1014 | // |
---|
1015 | iTheta = std::atan2(rhoi,zi) ; |
---|
1016 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1017 | { |
---|
1018 | return snxt = s ; |
---|
1019 | } |
---|
1020 | } |
---|
1021 | else |
---|
1022 | { |
---|
1023 | return snxt=s; |
---|
1024 | } |
---|
1025 | } |
---|
1026 | } |
---|
1027 | else |
---|
1028 | { |
---|
1029 | if (segTheta) // Check theta intersection |
---|
1030 | { |
---|
1031 | zi = p.z() + s*v.z() ; |
---|
1032 | |
---|
1033 | // rhoi & zi can never both be 0 |
---|
1034 | // (=>intersect at origin => fRmax=0 !) |
---|
1035 | // |
---|
1036 | iTheta = std::atan2(rhoi,zi) ; |
---|
1037 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1038 | { |
---|
1039 | return snxt=s; |
---|
1040 | } |
---|
1041 | } |
---|
1042 | else |
---|
1043 | { |
---|
1044 | return snxt = s ; |
---|
1045 | } |
---|
1046 | } |
---|
1047 | } |
---|
1048 | } |
---|
1049 | else // No intersection with G4Sphere |
---|
1050 | { |
---|
1051 | return snxt=kInfinity; |
---|
1052 | } |
---|
1053 | } |
---|
1054 | else |
---|
1055 | { |
---|
1056 | // Inside outer radius |
---|
1057 | // check not inside, and heading through G4Sphere (-> 0 to in) |
---|
1058 | |
---|
1059 | d2 = pDotV3d*pDotV3d - c ; |
---|
1060 | |
---|
1061 | // if (rad2 > tolIRMin2 && pDotV3d < 0 ) |
---|
1062 | |
---|
1063 | if (rad2 > tolIRMax2 && ( d2 >= flexRadMaxTolerance*fRmax && pDotV3d < 0 ) ) |
---|
1064 | { |
---|
1065 | if (segPhi) |
---|
1066 | { |
---|
1067 | // Use inner phi tolerant boundary -> if on tolerant |
---|
1068 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
1069 | |
---|
1070 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1071 | |
---|
1072 | if (cosPsi>=cosHDPhiIT) |
---|
1073 | { |
---|
1074 | // inside radii, delta r -ve, inside phi |
---|
1075 | |
---|
1076 | if (segTheta) |
---|
1077 | { |
---|
1078 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
1079 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
1080 | { |
---|
1081 | return snxt=0; |
---|
1082 | } |
---|
1083 | } |
---|
1084 | else // strictly inside Theta in both cases |
---|
1085 | { |
---|
1086 | return snxt=0; |
---|
1087 | } |
---|
1088 | } |
---|
1089 | } |
---|
1090 | else |
---|
1091 | { |
---|
1092 | if ( segTheta ) |
---|
1093 | { |
---|
1094 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
1095 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
1096 | { |
---|
1097 | return snxt=0; |
---|
1098 | } |
---|
1099 | } |
---|
1100 | else // strictly inside Theta in both cases |
---|
1101 | { |
---|
1102 | return snxt=0; |
---|
1103 | } |
---|
1104 | } |
---|
1105 | } |
---|
1106 | } |
---|
1107 | |
---|
1108 | // Inner spherical shell intersection |
---|
1109 | // - Always farthest root, because would have passed through outer |
---|
1110 | // surface first. |
---|
1111 | // - Tolerant check for if travelling through solid |
---|
1112 | |
---|
1113 | if (fRmin) |
---|
1114 | { |
---|
1115 | c = rad2 - fRmin*fRmin ; |
---|
1116 | d2 = pDotV3d*pDotV3d - c ; |
---|
1117 | |
---|
1118 | // Within tolerance inner radius of inner G4Sphere |
---|
1119 | // Check for immediate entry/already inside and travelling outwards |
---|
1120 | |
---|
1121 | // if (c >- kRadTolerance*0.5 && pDotV3d >= 0 && rad2 < tolIRMin2 ) |
---|
1122 | |
---|
1123 | if ( c > -kRadTolerance*0.5 && rad2 < tolIRMin2 && |
---|
1124 | ( d2 < fRmin*kCarTolerance || pDotV3d >= 0 ) ) |
---|
1125 | { |
---|
1126 | if (segPhi) |
---|
1127 | { |
---|
1128 | // Use inner phi tolerant boundary -> if on tolerant |
---|
1129 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
1130 | |
---|
1131 | cosPsi = (p.x()*cosCPhi+p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1132 | if (cosPsi >= cosHDPhiIT) |
---|
1133 | { |
---|
1134 | // inside radii, delta r -ve, inside phi |
---|
1135 | // |
---|
1136 | if (segTheta) |
---|
1137 | { |
---|
1138 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
1139 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
1140 | { |
---|
1141 | return snxt=0; |
---|
1142 | } |
---|
1143 | } |
---|
1144 | else |
---|
1145 | { |
---|
1146 | return snxt = 0 ; |
---|
1147 | } |
---|
1148 | } |
---|
1149 | } |
---|
1150 | else |
---|
1151 | { |
---|
1152 | if (segTheta) |
---|
1153 | { |
---|
1154 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
1155 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
1156 | { |
---|
1157 | return snxt = 0 ; |
---|
1158 | } |
---|
1159 | } |
---|
1160 | else |
---|
1161 | { |
---|
1162 | return snxt=0; |
---|
1163 | } |
---|
1164 | } |
---|
1165 | } |
---|
1166 | else // Not special tolerant case |
---|
1167 | { |
---|
1168 | // d2 = pDotV3d*pDotV3d - c ; |
---|
1169 | |
---|
1170 | if (d2 >= 0) |
---|
1171 | { |
---|
1172 | s = -pDotV3d + std::sqrt(d2) ; |
---|
1173 | if ( s >= kRadTolerance*0.5 ) // It was >= 0 ?? |
---|
1174 | { |
---|
1175 | xi = p.x() + s*v.x() ; |
---|
1176 | yi = p.y() + s*v.y() ; |
---|
1177 | rhoi = std::sqrt(xi*xi+yi*yi) ; |
---|
1178 | |
---|
1179 | if ( segPhi && rhoi ) // Check phi intersection |
---|
1180 | { |
---|
1181 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
1182 | |
---|
1183 | if (cosPsi >= cosHDPhiOT) |
---|
1184 | { |
---|
1185 | if (segTheta) // Check theta intersection |
---|
1186 | { |
---|
1187 | zi = p.z() + s*v.z() ; |
---|
1188 | |
---|
1189 | // rhoi & zi can never both be 0 |
---|
1190 | // (=>intersect at origin =>fRmax=0) |
---|
1191 | // |
---|
1192 | iTheta = std::atan2(rhoi,zi) ; |
---|
1193 | if ( (iTheta >= tolSTheta) && (iTheta<=tolETheta) ) |
---|
1194 | { |
---|
1195 | snxt = s ; |
---|
1196 | } |
---|
1197 | } |
---|
1198 | else |
---|
1199 | { |
---|
1200 | snxt=s; |
---|
1201 | } |
---|
1202 | } |
---|
1203 | } |
---|
1204 | else |
---|
1205 | { |
---|
1206 | if (segTheta) // Check theta intersection |
---|
1207 | { |
---|
1208 | zi = p.z() + s*v.z() ; |
---|
1209 | |
---|
1210 | // rhoi & zi can never both be 0 |
---|
1211 | // (=>intersect at origin => fRmax=0 !) |
---|
1212 | // |
---|
1213 | iTheta = std::atan2(rhoi,zi) ; |
---|
1214 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1215 | { |
---|
1216 | snxt = s ; |
---|
1217 | } |
---|
1218 | } |
---|
1219 | else |
---|
1220 | { |
---|
1221 | snxt=s; |
---|
1222 | } |
---|
1223 | } |
---|
1224 | } |
---|
1225 | } |
---|
1226 | } |
---|
1227 | } |
---|
1228 | |
---|
1229 | // Phi segment intersection |
---|
1230 | // |
---|
1231 | // o Tolerant of points inside phi planes by up to kCarTolerance*0.5 |
---|
1232 | // |
---|
1233 | // o NOTE: Large duplication of code between sphi & ephi checks |
---|
1234 | // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane |
---|
1235 | // intersection check <=0 -> >=0 |
---|
1236 | // -> Should use some form of loop Construct |
---|
1237 | // |
---|
1238 | if ( segPhi ) |
---|
1239 | { |
---|
1240 | // First phi surface (`S'tarting phi) |
---|
1241 | |
---|
1242 | sinSPhi = std::sin(fSPhi) ; |
---|
1243 | cosSPhi = std::cos(fSPhi) ; |
---|
1244 | |
---|
1245 | // Comp = Component in outwards normal dirn |
---|
1246 | // |
---|
1247 | Comp = v.x()*sinSPhi - v.y()*cosSPhi ; |
---|
1248 | |
---|
1249 | if ( Comp < 0 ) |
---|
1250 | { |
---|
1251 | Dist = p.y()*cosSPhi - p.x()*sinSPhi ; |
---|
1252 | |
---|
1253 | if (Dist < kCarTolerance*0.5) |
---|
1254 | { |
---|
1255 | s = Dist/Comp ; |
---|
1256 | |
---|
1257 | if (s < snxt) |
---|
1258 | { |
---|
1259 | if ( s > 0 ) |
---|
1260 | { |
---|
1261 | xi = p.x() + s*v.x() ; |
---|
1262 | yi = p.y() + s*v.y() ; |
---|
1263 | zi = p.z() + s*v.z() ; |
---|
1264 | rhoi2 = xi*xi + yi*yi ; |
---|
1265 | radi2 = rhoi2 + zi*zi ; |
---|
1266 | } |
---|
1267 | else |
---|
1268 | { |
---|
1269 | s = 0 ; |
---|
1270 | xi = p.x() ; |
---|
1271 | yi = p.y() ; |
---|
1272 | zi = p.z() ; |
---|
1273 | rhoi2 = rho2 ; |
---|
1274 | radi2 = rad2 ; |
---|
1275 | } |
---|
1276 | if ( (radi2 <= tolORMax2) |
---|
1277 | && (radi2 >= tolORMin2) |
---|
1278 | && ((yi*cosCPhi-xi*sinCPhi) <= 0) ) |
---|
1279 | { |
---|
1280 | // Check theta intersection |
---|
1281 | // rhoi & zi can never both be 0 |
---|
1282 | // (=>intersect at origin =>fRmax=0) |
---|
1283 | // |
---|
1284 | if ( segTheta ) |
---|
1285 | { |
---|
1286 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
1287 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1288 | { |
---|
1289 | // r and theta intersections good |
---|
1290 | // - check intersecting with correct half-plane |
---|
1291 | |
---|
1292 | if ((yi*cosCPhi-xi*sinCPhi) <= 0) |
---|
1293 | { |
---|
1294 | snxt = s ; |
---|
1295 | } |
---|
1296 | } |
---|
1297 | } |
---|
1298 | else |
---|
1299 | { |
---|
1300 | snxt = s ; |
---|
1301 | } |
---|
1302 | } |
---|
1303 | } |
---|
1304 | } |
---|
1305 | } |
---|
1306 | |
---|
1307 | // Second phi surface (`E'nding phi) |
---|
1308 | |
---|
1309 | ePhi = fSPhi + fDPhi ; |
---|
1310 | sinEPhi = std::sin(ePhi) ; |
---|
1311 | cosEPhi = std::cos(ePhi) ; |
---|
1312 | |
---|
1313 | // Compnent in outwards normal dirn |
---|
1314 | |
---|
1315 | Comp = -( v.x()*sinEPhi-v.y()*cosEPhi ) ; |
---|
1316 | |
---|
1317 | if (Comp < 0) |
---|
1318 | { |
---|
1319 | Dist = -(p.y()*cosEPhi-p.x()*sinEPhi) ; |
---|
1320 | if ( Dist < kCarTolerance*0.5 ) |
---|
1321 | { |
---|
1322 | s = Dist/Comp ; |
---|
1323 | |
---|
1324 | if ( s < snxt ) |
---|
1325 | { |
---|
1326 | if (s > 0) |
---|
1327 | { |
---|
1328 | xi = p.x() + s*v.x() ; |
---|
1329 | yi = p.y() + s*v.y() ; |
---|
1330 | zi = p.z() + s*v.z() ; |
---|
1331 | rhoi2 = xi*xi + yi*yi ; |
---|
1332 | radi2 = rhoi2 + zi*zi ; |
---|
1333 | } |
---|
1334 | else |
---|
1335 | { |
---|
1336 | s = 0 ; |
---|
1337 | xi = p.x() ; |
---|
1338 | yi = p.y() ; |
---|
1339 | zi = p.z() ; |
---|
1340 | rhoi2 = rho2 ; |
---|
1341 | radi2 = rad2 ; |
---|
1342 | } if ( (radi2 <= tolORMax2) |
---|
1343 | && (radi2 >= tolORMin2) |
---|
1344 | && ((yi*cosCPhi-xi*sinCPhi) >= 0) ) |
---|
1345 | { |
---|
1346 | // Check theta intersection |
---|
1347 | // rhoi & zi can never both be 0 |
---|
1348 | // (=>intersect at origin =>fRmax=0) |
---|
1349 | // |
---|
1350 | if ( segTheta ) |
---|
1351 | { |
---|
1352 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
1353 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
1354 | { |
---|
1355 | // r and theta intersections good |
---|
1356 | // - check intersecting with correct half-plane |
---|
1357 | |
---|
1358 | if ((yi*cosCPhi-xi*sinCPhi) >= 0) |
---|
1359 | { |
---|
1360 | snxt = s ; |
---|
1361 | } |
---|
1362 | } |
---|
1363 | } |
---|
1364 | else |
---|
1365 | { |
---|
1366 | snxt = s ; |
---|
1367 | } |
---|
1368 | } |
---|
1369 | } |
---|
1370 | } |
---|
1371 | } |
---|
1372 | } |
---|
1373 | |
---|
1374 | // Theta segment intersection |
---|
1375 | |
---|
1376 | if ( segTheta ) |
---|
1377 | { |
---|
1378 | |
---|
1379 | // Intersection with theta surfaces |
---|
1380 | // Known failure cases: |
---|
1381 | // o Inside tolerance of stheta surface, skim |
---|
1382 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
1383 | // |
---|
1384 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
1385 | // |
---|
1386 | // o start/end theta is exactly pi/2 |
---|
1387 | // Intersections with cones |
---|
1388 | // |
---|
1389 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
1390 | // |
---|
1391 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
1392 | // |
---|
1393 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
1394 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
1395 | // |
---|
1396 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
1397 | |
---|
1398 | tanSTheta = std::tan(fSTheta) ; |
---|
1399 | tanSTheta2 = tanSTheta*tanSTheta ; |
---|
1400 | tanETheta = std::tan(fSTheta+fDTheta) ; |
---|
1401 | tanETheta2 = tanETheta*tanETheta ; |
---|
1402 | |
---|
1403 | if (fSTheta) |
---|
1404 | { |
---|
1405 | dist2STheta = rho2 - p.z()*p.z()*tanSTheta2 ; |
---|
1406 | } |
---|
1407 | else |
---|
1408 | { |
---|
1409 | dist2STheta = kInfinity ; |
---|
1410 | } |
---|
1411 | if ( fSTheta + fDTheta < pi ) |
---|
1412 | { |
---|
1413 | dist2ETheta=rho2-p.z()*p.z()*tanETheta2; |
---|
1414 | } |
---|
1415 | else |
---|
1416 | { |
---|
1417 | dist2ETheta=kInfinity; |
---|
1418 | } |
---|
1419 | if ( pTheta < tolSTheta) // dist2STheta<-kRadTolerance*0.5 && dist2ETheta>0) |
---|
1420 | { |
---|
1421 | // Inside (theta<stheta-tol) s theta cone |
---|
1422 | // First root of stheta cone, second if first root -ve |
---|
1423 | |
---|
1424 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1425 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1426 | |
---|
1427 | b = t2/t1 ; |
---|
1428 | c = dist2STheta/t1 ; |
---|
1429 | d2 = b*b - c ; |
---|
1430 | |
---|
1431 | if ( d2 >= 0 ) |
---|
1432 | { |
---|
1433 | d = std::sqrt(d2) ; |
---|
1434 | s = -b - d ; // First root |
---|
1435 | zi = p.z() + s*v.z(); |
---|
1436 | |
---|
1437 | if ( s < 0 || zi*(fSTheta - halfpi) > 0 ) |
---|
1438 | { |
---|
1439 | s = -b+d; // Second root |
---|
1440 | } |
---|
1441 | if (s >= 0 && s < snxt) |
---|
1442 | { |
---|
1443 | xi = p.x() + s*v.x(); |
---|
1444 | yi = p.y() + s*v.y(); |
---|
1445 | zi = p.z() + s*v.z(); |
---|
1446 | rhoi2 = xi*xi + yi*yi; |
---|
1447 | radi2 = rhoi2 + zi*zi; |
---|
1448 | if ( (radi2 <= tolORMax2) |
---|
1449 | && (radi2 >= tolORMin2) |
---|
1450 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1451 | { |
---|
1452 | if ( segPhi && rhoi2 ) // Check phi intersection |
---|
1453 | { |
---|
1454 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1455 | if (cosPsi >= cosHDPhiOT) |
---|
1456 | { |
---|
1457 | snxt = s ; |
---|
1458 | } |
---|
1459 | } |
---|
1460 | else |
---|
1461 | { |
---|
1462 | snxt = s ; |
---|
1463 | } |
---|
1464 | } |
---|
1465 | } |
---|
1466 | } |
---|
1467 | |
---|
1468 | // Possible intersection with ETheta cone. |
---|
1469 | // Second >= 0 root should be considered |
---|
1470 | |
---|
1471 | if ( fSTheta + fDTheta < pi ) |
---|
1472 | { |
---|
1473 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1474 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1475 | |
---|
1476 | b = t2/t1 ; |
---|
1477 | c = dist2ETheta/t1 ; |
---|
1478 | d2 = b*b - c ; |
---|
1479 | |
---|
1480 | if (d2 >= 0) |
---|
1481 | { |
---|
1482 | d = std::sqrt(d2) ; |
---|
1483 | s = -b + d ; // Second root |
---|
1484 | |
---|
1485 | if (s >= 0 && s < snxt) |
---|
1486 | { |
---|
1487 | xi = p.x() + s*v.x() ; |
---|
1488 | yi = p.y() + s*v.y() ; |
---|
1489 | zi = p.z() + s*v.z() ; |
---|
1490 | rhoi2 = xi*xi + yi*yi ; |
---|
1491 | radi2 = rhoi2 + zi*zi ; |
---|
1492 | |
---|
1493 | if ( (radi2 <= tolORMax2) |
---|
1494 | && (radi2 >= tolORMin2) |
---|
1495 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
1496 | { |
---|
1497 | if (segPhi && rhoi2) // Check phi intersection |
---|
1498 | { |
---|
1499 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1500 | if (cosPsi >= cosHDPhiOT) |
---|
1501 | { |
---|
1502 | snxt = s ; |
---|
1503 | } |
---|
1504 | } |
---|
1505 | else |
---|
1506 | { |
---|
1507 | snxt = s ; |
---|
1508 | } |
---|
1509 | } |
---|
1510 | } |
---|
1511 | } |
---|
1512 | } |
---|
1513 | } |
---|
1514 | else if ( pTheta > tolETheta ) |
---|
1515 | { |
---|
1516 | // dist2ETheta<-kRadTolerance*0.5 && dist2STheta>0) |
---|
1517 | // Inside (theta > etheta+tol) e-theta cone |
---|
1518 | // First root of etheta cone, second if first root `imaginary' |
---|
1519 | |
---|
1520 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1521 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1522 | |
---|
1523 | b = t2/t1 ; |
---|
1524 | c = dist2ETheta/t1 ; |
---|
1525 | d2 = b*b - c ; |
---|
1526 | |
---|
1527 | if (d2 >= 0) |
---|
1528 | { |
---|
1529 | d = std::sqrt(d2) ; |
---|
1530 | s = -b - d ; // First root |
---|
1531 | zi = p.z() + s*v.z(); |
---|
1532 | |
---|
1533 | if (s < 0 || zi*(fSTheta + fDTheta - halfpi) > 0) |
---|
1534 | { |
---|
1535 | s = -b + d ; // second root |
---|
1536 | } |
---|
1537 | if (s >= 0 && s < snxt) |
---|
1538 | { |
---|
1539 | xi = p.x() + s*v.x() ; |
---|
1540 | yi = p.y() + s*v.y() ; |
---|
1541 | zi = p.z() + s*v.z() ; |
---|
1542 | rhoi2 = xi*xi + yi*yi ; |
---|
1543 | radi2 = rhoi2 + zi*zi ; |
---|
1544 | |
---|
1545 | if ( (radi2 <= tolORMax2) |
---|
1546 | && (radi2 >= tolORMin2) |
---|
1547 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
1548 | { |
---|
1549 | if (segPhi && rhoi2) // Check phi intersection |
---|
1550 | { |
---|
1551 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1552 | if (cosPsi >= cosHDPhiOT) |
---|
1553 | { |
---|
1554 | snxt = s ; |
---|
1555 | } |
---|
1556 | } |
---|
1557 | else |
---|
1558 | { |
---|
1559 | snxt = s ; |
---|
1560 | } |
---|
1561 | } |
---|
1562 | } |
---|
1563 | } |
---|
1564 | |
---|
1565 | // Possible intersection with STheta cone. |
---|
1566 | // Second >= 0 root should be considered |
---|
1567 | |
---|
1568 | if ( fSTheta ) |
---|
1569 | { |
---|
1570 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1571 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1572 | |
---|
1573 | b = t2/t1 ; |
---|
1574 | c = dist2STheta/t1 ; |
---|
1575 | d2 = b*b - c ; |
---|
1576 | |
---|
1577 | if (d2 >= 0) |
---|
1578 | { |
---|
1579 | d = std::sqrt(d2) ; |
---|
1580 | s = -b + d ; // Second root |
---|
1581 | |
---|
1582 | if ( (s >= 0) && (s < snxt) ) |
---|
1583 | { |
---|
1584 | xi = p.x() + s*v.x() ; |
---|
1585 | yi = p.y() + s*v.y() ; |
---|
1586 | zi = p.z() + s*v.z() ; |
---|
1587 | rhoi2 = xi*xi + yi*yi ; |
---|
1588 | radi2 = rhoi2 + zi*zi ; |
---|
1589 | |
---|
1590 | if ( (radi2 <= tolORMax2) |
---|
1591 | && (radi2 >= tolORMin2) |
---|
1592 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1593 | { |
---|
1594 | if (segPhi && rhoi2) // Check phi intersection |
---|
1595 | { |
---|
1596 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1597 | if (cosPsi >= cosHDPhiOT) |
---|
1598 | { |
---|
1599 | snxt = s ; |
---|
1600 | } |
---|
1601 | } |
---|
1602 | else |
---|
1603 | { |
---|
1604 | snxt = s ; |
---|
1605 | } |
---|
1606 | } |
---|
1607 | } |
---|
1608 | } |
---|
1609 | } |
---|
1610 | } |
---|
1611 | else if ( (pTheta <tolSTheta + kAngTolerance) |
---|
1612 | && (fSTheta > kAngTolerance) ) |
---|
1613 | { |
---|
1614 | // In tolerance of stheta |
---|
1615 | // If entering through solid [r,phi] => 0 to in |
---|
1616 | // else try 2nd root |
---|
1617 | |
---|
1618 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1619 | if ( (t2>=0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta<pi*.5) |
---|
1620 | || (t2<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta>pi*.5) |
---|
1621 | || (v.z()<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta==pi*.5) ) |
---|
1622 | { |
---|
1623 | if (segPhi && rho2) // Check phi intersection |
---|
1624 | { |
---|
1625 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1626 | if (cosPsi >= cosHDPhiIT) |
---|
1627 | { |
---|
1628 | return 0 ; |
---|
1629 | } |
---|
1630 | } |
---|
1631 | else |
---|
1632 | { |
---|
1633 | return 0 ; |
---|
1634 | } |
---|
1635 | } |
---|
1636 | |
---|
1637 | // Not entering immediately/travelling through |
---|
1638 | |
---|
1639 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1640 | b = t2/t1 ; |
---|
1641 | c = dist2STheta/t1 ; |
---|
1642 | d2 = b*b - c ; |
---|
1643 | |
---|
1644 | if (d2 >= 0) |
---|
1645 | { |
---|
1646 | d = std::sqrt(d2) ; |
---|
1647 | s = -b + d ; |
---|
1648 | if ( (s >= kCarTolerance*0.5) && (s < snxt) && (fSTheta < pi*0.5) ) |
---|
1649 | { |
---|
1650 | xi = p.x() + s*v.x() ; |
---|
1651 | yi = p.y() + s*v.y() ; |
---|
1652 | zi = p.z() + s*v.z() ; |
---|
1653 | rhoi2 = xi*xi + yi*yi ; |
---|
1654 | radi2 = rhoi2 + zi*zi ; |
---|
1655 | |
---|
1656 | if ( (radi2 <= tolORMax2) |
---|
1657 | && (radi2 >= tolORMin2) |
---|
1658 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1659 | { |
---|
1660 | if ( segPhi && rhoi2 ) // Check phi intersection |
---|
1661 | { |
---|
1662 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1663 | if ( cosPsi >= cosHDPhiOT ) |
---|
1664 | { |
---|
1665 | snxt = s ; |
---|
1666 | } |
---|
1667 | } |
---|
1668 | else |
---|
1669 | { |
---|
1670 | snxt = s ; |
---|
1671 | } |
---|
1672 | } |
---|
1673 | } |
---|
1674 | } |
---|
1675 | } |
---|
1676 | else if ( (pTheta > tolETheta - kAngTolerance) |
---|
1677 | && ((fSTheta + fDTheta) < pi-kAngTolerance) ) |
---|
1678 | { |
---|
1679 | |
---|
1680 | // In tolerance of etheta |
---|
1681 | // If entering through solid [r,phi] => 0 to in |
---|
1682 | // else try 2nd root |
---|
1683 | |
---|
1684 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1685 | |
---|
1686 | if ( |
---|
1687 | (t2<0 && (fSTheta+fDTheta) <pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2) |
---|
1688 | || (t2>=0 && (fSTheta+fDTheta) >pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2) |
---|
1689 | || (v.z()>0 && (fSTheta+fDTheta)==pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2) |
---|
1690 | ) |
---|
1691 | { |
---|
1692 | if (segPhi && rho2) // Check phi intersection |
---|
1693 | { |
---|
1694 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
1695 | if (cosPsi >= cosHDPhiIT) |
---|
1696 | { |
---|
1697 | return 0 ; |
---|
1698 | } |
---|
1699 | } |
---|
1700 | else |
---|
1701 | { |
---|
1702 | return 0 ; |
---|
1703 | } |
---|
1704 | } |
---|
1705 | |
---|
1706 | // Not entering immediately/travelling through |
---|
1707 | |
---|
1708 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1709 | b = t2/t1 ; |
---|
1710 | c = dist2ETheta/t1 ; |
---|
1711 | d2 = b*b - c ; |
---|
1712 | |
---|
1713 | if (d2 >= 0) |
---|
1714 | { |
---|
1715 | d = std::sqrt(d2) ; |
---|
1716 | s = -b + d ; |
---|
1717 | |
---|
1718 | if ( (s >= kCarTolerance*0.5) |
---|
1719 | && (s < snxt) && ((fSTheta + fDTheta) > pi*0.5) ) |
---|
1720 | { |
---|
1721 | xi = p.x() + s*v.x() ; |
---|
1722 | yi = p.y() + s*v.y() ; |
---|
1723 | zi = p.z() + s*v.z() ; |
---|
1724 | rhoi2 = xi*xi + yi*yi ; |
---|
1725 | radi2 = rhoi2 + zi*zi ; |
---|
1726 | |
---|
1727 | if ( (radi2 <= tolORMax2) |
---|
1728 | && (radi2 >= tolORMin2) |
---|
1729 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
1730 | { |
---|
1731 | if (segPhi && rhoi2) // Check phi intersection |
---|
1732 | { |
---|
1733 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1734 | if (cosPsi>=cosHDPhiOT) |
---|
1735 | { |
---|
1736 | snxt = s ; |
---|
1737 | } |
---|
1738 | } |
---|
1739 | else |
---|
1740 | { |
---|
1741 | snxt = s ; |
---|
1742 | } |
---|
1743 | } |
---|
1744 | } |
---|
1745 | } |
---|
1746 | } |
---|
1747 | else |
---|
1748 | { |
---|
1749 | // stheta+tol<theta<etheta-tol |
---|
1750 | // For BOTH stheta & etheta check 2nd root for validity [r,phi] |
---|
1751 | |
---|
1752 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
1753 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
1754 | |
---|
1755 | b = t2/t1; |
---|
1756 | c = dist2STheta/t1 ; |
---|
1757 | d2 = b*b - c ; |
---|
1758 | |
---|
1759 | if (d2 >= 0) |
---|
1760 | { |
---|
1761 | d = std::sqrt(d2) ; |
---|
1762 | s = -b + d ; // second root |
---|
1763 | |
---|
1764 | if (s >= 0 && s < snxt) |
---|
1765 | { |
---|
1766 | xi = p.x() + s*v.x() ; |
---|
1767 | yi = p.y() + s*v.y() ; |
---|
1768 | zi = p.z() + s*v.z() ; |
---|
1769 | rhoi2 = xi*xi + yi*yi ; |
---|
1770 | radi2 = rhoi2 + zi*zi ; |
---|
1771 | |
---|
1772 | if ( (radi2 <= tolORMax2) |
---|
1773 | && (radi2 >= tolORMin2) |
---|
1774 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
1775 | { |
---|
1776 | if (segPhi && rhoi2) // Check phi intersection |
---|
1777 | { |
---|
1778 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1779 | if (cosPsi >= cosHDPhiOT) |
---|
1780 | { |
---|
1781 | snxt = s ; |
---|
1782 | } |
---|
1783 | } |
---|
1784 | else |
---|
1785 | { |
---|
1786 | snxt = s ; |
---|
1787 | } |
---|
1788 | } |
---|
1789 | } |
---|
1790 | } |
---|
1791 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
1792 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
1793 | |
---|
1794 | b = t2/t1 ; |
---|
1795 | c = dist2ETheta/t1 ; |
---|
1796 | d2 = b*b - c ; |
---|
1797 | |
---|
1798 | if (d2 >= 0) |
---|
1799 | { |
---|
1800 | d = std::sqrt(d2) ; |
---|
1801 | s = -b + d; // second root |
---|
1802 | |
---|
1803 | if (s >= 0 && s < snxt) |
---|
1804 | { |
---|
1805 | xi = p.x() + s*v.x() ; |
---|
1806 | yi = p.y() + s*v.y() ; |
---|
1807 | zi = p.z() + s*v.z() ; |
---|
1808 | rhoi2 = xi*xi + yi*yi ; |
---|
1809 | radi2 = rhoi2 + zi*zi ; |
---|
1810 | |
---|
1811 | if ( (radi2 <= tolORMax2) |
---|
1812 | && (radi2 >= tolORMin2) |
---|
1813 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
1814 | { |
---|
1815 | if (segPhi && rhoi2) // Check phi intersection |
---|
1816 | { |
---|
1817 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
1818 | if ( cosPsi >= cosHDPhiOT ) |
---|
1819 | { |
---|
1820 | snxt=s; |
---|
1821 | } |
---|
1822 | } |
---|
1823 | else |
---|
1824 | { |
---|
1825 | snxt = s ; |
---|
1826 | } |
---|
1827 | } |
---|
1828 | } |
---|
1829 | } |
---|
1830 | } |
---|
1831 | } |
---|
1832 | return snxt; |
---|
1833 | } |
---|
1834 | |
---|
1835 | ////////////////////////////////////////////////////////////////////// |
---|
1836 | // |
---|
1837 | // Calculate distance (<= actual) to closest surface of shape from outside |
---|
1838 | // - Calculate distance to radial planes |
---|
1839 | // - Only to phi planes if outside phi extent |
---|
1840 | // - Only to theta planes if outside theta extent |
---|
1841 | // - Return 0 if point inside |
---|
1842 | |
---|
1843 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p ) const |
---|
1844 | { |
---|
1845 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
1846 | G4double rho2,rad,rho; |
---|
1847 | G4double phiC,cosPhiC,sinPhiC,cosPsi,ePhi; |
---|
1848 | G4double pTheta,dTheta1,dTheta2; |
---|
1849 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
1850 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
1851 | rho=std::sqrt(rho2); |
---|
1852 | |
---|
1853 | // |
---|
1854 | // Distance to r shells |
---|
1855 | // |
---|
1856 | if (fRmin) |
---|
1857 | { |
---|
1858 | safeRMin=fRmin-rad; |
---|
1859 | safeRMax=rad-fRmax; |
---|
1860 | if (safeRMin>safeRMax) |
---|
1861 | { |
---|
1862 | safe=safeRMin; |
---|
1863 | } |
---|
1864 | else |
---|
1865 | { |
---|
1866 | safe=safeRMax; |
---|
1867 | } |
---|
1868 | } |
---|
1869 | else |
---|
1870 | { |
---|
1871 | safe=rad-fRmax; |
---|
1872 | } |
---|
1873 | |
---|
1874 | // |
---|
1875 | // Distance to phi extent |
---|
1876 | // |
---|
1877 | if (fDPhi<twopi&&rho) |
---|
1878 | { |
---|
1879 | phiC=fSPhi+fDPhi*0.5; |
---|
1880 | cosPhiC=std::cos(phiC); |
---|
1881 | sinPhiC=std::sin(phiC); |
---|
1882 | |
---|
1883 | // Psi=angle from central phi to point |
---|
1884 | // |
---|
1885 | cosPsi=(p.x()*cosPhiC+p.y()*sinPhiC)/rho; |
---|
1886 | if (cosPsi<std::cos(fDPhi*0.5)) |
---|
1887 | { |
---|
1888 | // Point lies outside phi range |
---|
1889 | // |
---|
1890 | if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0) |
---|
1891 | { |
---|
1892 | safePhi=std::fabs(p.x()*std::sin(fSPhi)-p.y()*std::cos(fSPhi)); |
---|
1893 | } |
---|
1894 | else |
---|
1895 | { |
---|
1896 | ePhi=fSPhi+fDPhi; |
---|
1897 | safePhi=std::fabs(p.x()*std::sin(ePhi)-p.y()*std::cos(ePhi)); |
---|
1898 | } |
---|
1899 | if (safePhi>safe) safe=safePhi; |
---|
1900 | } |
---|
1901 | } |
---|
1902 | // |
---|
1903 | // Distance to Theta extent |
---|
1904 | // |
---|
1905 | if ((rad!=0.0) && (fDTheta<pi)) |
---|
1906 | { |
---|
1907 | pTheta=std::acos(p.z()/rad); |
---|
1908 | if (pTheta<0) pTheta+=pi; |
---|
1909 | dTheta1=fSTheta-pTheta; |
---|
1910 | dTheta2=pTheta-(fSTheta+fDTheta); |
---|
1911 | if (dTheta1>dTheta2) |
---|
1912 | { |
---|
1913 | if (dTheta1>=0) // WHY ??????????? |
---|
1914 | { |
---|
1915 | safeTheta=rad*std::sin(dTheta1); |
---|
1916 | if (safe<=safeTheta) |
---|
1917 | { |
---|
1918 | safe=safeTheta; |
---|
1919 | } |
---|
1920 | } |
---|
1921 | } |
---|
1922 | else |
---|
1923 | { |
---|
1924 | if (dTheta2>=0) |
---|
1925 | { |
---|
1926 | safeTheta=rad*std::sin(dTheta2); |
---|
1927 | if (safe<=safeTheta) |
---|
1928 | { |
---|
1929 | safe=safeTheta; |
---|
1930 | } |
---|
1931 | } |
---|
1932 | } |
---|
1933 | } |
---|
1934 | |
---|
1935 | if (safe<0) safe=0; |
---|
1936 | return safe; |
---|
1937 | } |
---|
1938 | |
---|
1939 | ///////////////////////////////////////////////////////////////////// |
---|
1940 | // |
---|
1941 | // Calculate distance to surface of shape from `inside', allowing for tolerance |
---|
1942 | // - Only Calc rmax intersection if no valid rmin intersection |
---|
1943 | |
---|
1944 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p, |
---|
1945 | const G4ThreeVector& v, |
---|
1946 | const G4bool calcNorm, |
---|
1947 | G4bool *validNorm, |
---|
1948 | G4ThreeVector *n ) const |
---|
1949 | { |
---|
1950 | G4double snxt = kInfinity; // snxt is default return value |
---|
1951 | G4double sphi= kInfinity,stheta= kInfinity; |
---|
1952 | ESide side=kNull,sidephi=kNull,sidetheta=kNull; |
---|
1953 | |
---|
1954 | G4double t1,t2; |
---|
1955 | G4double b,c,d; |
---|
1956 | |
---|
1957 | // Variables for phi intersection: |
---|
1958 | |
---|
1959 | G4double sinSPhi,cosSPhi,ePhi,sinEPhi,cosEPhi; |
---|
1960 | G4double cPhi,sinCPhi,cosCPhi; |
---|
1961 | G4double pDistS,compS,pDistE,compE,sphi2,vphi; |
---|
1962 | |
---|
1963 | G4double rho2,rad2,pDotV2d,pDotV3d,pTheta; |
---|
1964 | |
---|
1965 | G4double tolSTheta=0.,tolETheta=0.; |
---|
1966 | G4double xi,yi,zi; // Intersection point |
---|
1967 | |
---|
1968 | // G4double Comp; // Phi intersection |
---|
1969 | |
---|
1970 | G4bool segPhi; // Phi flag and precalcs |
---|
1971 | G4double hDPhi,hDPhiOT,hDPhiIT; |
---|
1972 | G4double cosHDPhiOT,cosHDPhiIT; |
---|
1973 | |
---|
1974 | G4bool segTheta; // Theta flag and precals |
---|
1975 | G4double tanSTheta=0.,tanETheta=0., rhoSecTheta; |
---|
1976 | G4double tanSTheta2=0.,tanETheta2=0.; |
---|
1977 | G4double dist2STheta, dist2ETheta, distTheta; |
---|
1978 | G4double d2,s; |
---|
1979 | |
---|
1980 | // General Precalcs |
---|
1981 | |
---|
1982 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
1983 | rad2 = rho2+p.z()*p.z(); |
---|
1984 | // G4double rad=std::sqrt(rad2); |
---|
1985 | |
---|
1986 | pTheta = std::atan2(std::sqrt(rho2),p.z()); |
---|
1987 | |
---|
1988 | pDotV2d = p.x()*v.x()+p.y()*v.y(); |
---|
1989 | pDotV3d = pDotV2d+p.z()*v.z(); |
---|
1990 | |
---|
1991 | // Set phi divided flag and precalcs |
---|
1992 | |
---|
1993 | if( fDPhi < twopi ) |
---|
1994 | { |
---|
1995 | segPhi=true; |
---|
1996 | hDPhi=0.5*fDPhi; // half delta phi |
---|
1997 | cPhi=fSPhi+hDPhi;; |
---|
1998 | hDPhiOT=hDPhi+0.5*kAngTolerance; // Outer Tolerant half delta phi |
---|
1999 | hDPhiIT=hDPhi-0.5*kAngTolerance; |
---|
2000 | sinCPhi=std::sin(cPhi); |
---|
2001 | cosCPhi=std::cos(cPhi); |
---|
2002 | cosHDPhiOT=std::cos(hDPhiOT); |
---|
2003 | cosHDPhiIT=std::cos(hDPhiIT); |
---|
2004 | } |
---|
2005 | else |
---|
2006 | { |
---|
2007 | segPhi=false; |
---|
2008 | } |
---|
2009 | |
---|
2010 | // Theta precalcs |
---|
2011 | |
---|
2012 | if ( fDTheta < pi ) |
---|
2013 | { |
---|
2014 | segTheta = true; |
---|
2015 | tolSTheta = fSTheta - kAngTolerance*0.5; |
---|
2016 | tolETheta = fSTheta + fDTheta + kAngTolerance*0.5; |
---|
2017 | } |
---|
2018 | else segTheta = false; |
---|
2019 | |
---|
2020 | |
---|
2021 | // Radial Intersections from G4Sphere::DistanceToIn |
---|
2022 | // |
---|
2023 | // Outer spherical shell intersection |
---|
2024 | // - Only if outside tolerant fRmax |
---|
2025 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
2026 | // - No intersect -> no intersection with G4Sphere |
---|
2027 | // |
---|
2028 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
2029 | // |
---|
2030 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
2031 | // |
---|
2032 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
2033 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
2034 | // |
---|
2035 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
2036 | // |
---|
2037 | // const G4double fractionTolerance = 1.0e-12; |
---|
2038 | |
---|
2039 | const G4double flexRadMaxTolerance = // kRadTolerance; |
---|
2040 | std::max(kRadTolerance, fEpsilon * fRmax); |
---|
2041 | |
---|
2042 | const G4double Rmax_plus = fRmax + flexRadMaxTolerance*0.5; |
---|
2043 | |
---|
2044 | const G4double flexRadMinTolerance = std::max(kRadTolerance, |
---|
2045 | fEpsilon * fRmin); |
---|
2046 | |
---|
2047 | const G4double Rmin_minus= (fRmin > 0) ? fRmin-flexRadMinTolerance*0.5 : 0 ; |
---|
2048 | |
---|
2049 | if(rad2 <= Rmax_plus*Rmax_plus && rad2 >= Rmin_minus*Rmin_minus) |
---|
2050 | // if(rad <= Rmax_plus && rad >= Rmin_minus) |
---|
2051 | { |
---|
2052 | c = rad2 - fRmax*fRmax; |
---|
2053 | |
---|
2054 | if (c < flexRadMaxTolerance*fRmax) |
---|
2055 | { |
---|
2056 | // Within tolerant Outer radius |
---|
2057 | // |
---|
2058 | // The test is |
---|
2059 | // rad - fRmax < 0.5*kRadTolerance |
---|
2060 | // => rad < fRmax + 0.5*kRadTol |
---|
2061 | // => rad2 < (fRmax + 0.5*kRadTol)^2 |
---|
2062 | // => rad2 < fRmax^2 + 2.*0.5*fRmax*kRadTol + 0.25*kRadTol*kRadTol |
---|
2063 | // => rad2 - fRmax^2 <~ fRmax*kRadTol |
---|
2064 | |
---|
2065 | d2 = pDotV3d*pDotV3d - c; |
---|
2066 | |
---|
2067 | if( (c >- flexRadMaxTolerance*fRmax) // on tolerant surface |
---|
2068 | && ((pDotV3d >=0) || (d2 < 0)) ) // leaving outside from Rmax |
---|
2069 | // not re-entering |
---|
2070 | { |
---|
2071 | if(calcNorm) |
---|
2072 | { |
---|
2073 | *validNorm = true ; |
---|
2074 | *n = G4ThreeVector(p.x()/fRmax,p.y()/fRmax,p.z()/fRmax) ; |
---|
2075 | } |
---|
2076 | return snxt = 0; |
---|
2077 | } |
---|
2078 | else |
---|
2079 | { |
---|
2080 | snxt = -pDotV3d+std::sqrt(d2); // second root since inside Rmax |
---|
2081 | side = kRMax ; |
---|
2082 | } |
---|
2083 | } |
---|
2084 | |
---|
2085 | // Inner spherical shell intersection: |
---|
2086 | // Always first >=0 root, because would have passed |
---|
2087 | // from outside of Rmin surface . |
---|
2088 | |
---|
2089 | if (fRmin) |
---|
2090 | { |
---|
2091 | c = rad2 - fRmin*fRmin; |
---|
2092 | d2 = pDotV3d*pDotV3d - c; |
---|
2093 | |
---|
2094 | if ( c >- flexRadMinTolerance*fRmin ) // 2.0 * (0.5*kRadTolerance) * fRmin |
---|
2095 | { |
---|
2096 | if( c < flexRadMinTolerance*fRmin && |
---|
2097 | d2 >= flexRadMinTolerance*fRmin && pDotV3d < 0 ) // leaving from Rmin |
---|
2098 | { |
---|
2099 | if(calcNorm) *validNorm = false ; // Rmin surface is concave |
---|
2100 | return snxt = 0 ; |
---|
2101 | } |
---|
2102 | else |
---|
2103 | { |
---|
2104 | if ( d2 >= 0. ) |
---|
2105 | { |
---|
2106 | s = -pDotV3d-std::sqrt(d2); |
---|
2107 | |
---|
2108 | if ( s >= 0. ) // Always intersect Rmin first |
---|
2109 | { |
---|
2110 | snxt = s ; |
---|
2111 | side = kRMin ; |
---|
2112 | } |
---|
2113 | } |
---|
2114 | } |
---|
2115 | } |
---|
2116 | } |
---|
2117 | } |
---|
2118 | |
---|
2119 | // Theta segment intersection |
---|
2120 | |
---|
2121 | if (segTheta) |
---|
2122 | { |
---|
2123 | // Intersection with theta surfaces |
---|
2124 | // |
---|
2125 | // Known failure cases: |
---|
2126 | // o Inside tolerance of stheta surface, skim |
---|
2127 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
2128 | // |
---|
2129 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
2130 | // |
---|
2131 | // o start/end theta is exactly pi/2 |
---|
2132 | // |
---|
2133 | // Intersections with cones |
---|
2134 | // |
---|
2135 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
2136 | // |
---|
2137 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
2138 | // |
---|
2139 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
2140 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
2141 | // |
---|
2142 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
2143 | // |
---|
2144 | |
---|
2145 | /* //////////////////////////////////////////////////////// |
---|
2146 | |
---|
2147 | tanSTheta=std::tan(fSTheta); |
---|
2148 | tanSTheta2=tanSTheta*tanSTheta; |
---|
2149 | tanETheta=std::tan(fSTheta+fDTheta); |
---|
2150 | tanETheta2=tanETheta*tanETheta; |
---|
2151 | |
---|
2152 | if (fSTheta) |
---|
2153 | { |
---|
2154 | dist2STheta=rho2-p.z()*p.z()*tanSTheta2; |
---|
2155 | } |
---|
2156 | else |
---|
2157 | { |
---|
2158 | dist2STheta = kInfinity; |
---|
2159 | } |
---|
2160 | if (fSTheta + fDTheta < pi) |
---|
2161 | { |
---|
2162 | dist2ETheta = rho2-p.z()*p.z()*tanETheta2; |
---|
2163 | } |
---|
2164 | else |
---|
2165 | { |
---|
2166 | dist2ETheta = kInfinity ; |
---|
2167 | } |
---|
2168 | if (pTheta > tolSTheta && pTheta < tolETheta) // Inside theta |
---|
2169 | { |
---|
2170 | // In tolerance of STheta and possible leaving out to small thetas N- |
---|
2171 | |
---|
2172 | if(pTheta < tolSTheta + kAngTolerance && fSTheta > kAngTolerance) |
---|
2173 | { |
---|
2174 | t2=pDotV2d-p.z()*v.z()*tanSTheta2 ; // =(VdotN+)*rhoSecSTheta |
---|
2175 | |
---|
2176 | if( fSTheta < pi*0.5 && t2 < 0) |
---|
2177 | { |
---|
2178 | if(calcNorm) *validNorm = false ; |
---|
2179 | return snxt = 0 ; |
---|
2180 | } |
---|
2181 | else if(fSTheta > pi*0.5 && t2 >= 0) |
---|
2182 | { |
---|
2183 | if(calcNorm) |
---|
2184 | { |
---|
2185 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)) ; |
---|
2186 | *validNorm = true ; |
---|
2187 | *n = G4ThreeVector(-p.x()/rhoSecTheta, // N- |
---|
2188 | -p.y()/rhoSecTheta, |
---|
2189 | tanSTheta/std::sqrt(1+tanSTheta2) ) ; |
---|
2190 | } |
---|
2191 | return snxt = 0 ; |
---|
2192 | } |
---|
2193 | else if( fSTheta == pi*0.5 && v.z() > 0) |
---|
2194 | { |
---|
2195 | if(calcNorm) |
---|
2196 | { |
---|
2197 | *validNorm = true ; |
---|
2198 | *n = G4ThreeVector(0,0,1) ; |
---|
2199 | } |
---|
2200 | return snxt = 0 ; |
---|
2201 | } |
---|
2202 | } |
---|
2203 | |
---|
2204 | // In tolerance of ETheta and possible leaving out to larger thetas N+ |
---|
2205 | |
---|
2206 | if ( (pTheta > tolETheta - kAngTolerance) |
---|
2207 | && (( fSTheta + fDTheta) < pi - kAngTolerance) ) |
---|
2208 | { |
---|
2209 | t2=pDotV2d-p.z()*v.z()*tanETheta2 ; |
---|
2210 | if((fSTheta+fDTheta)>pi*0.5 && t2<0) |
---|
2211 | { |
---|
2212 | if(calcNorm) *validNorm = false ; |
---|
2213 | return snxt = 0 ; |
---|
2214 | } |
---|
2215 | else if( (fSTheta+fDTheta) < pi*0.5 && t2 >= 0 ) |
---|
2216 | { |
---|
2217 | if(calcNorm) |
---|
2218 | { |
---|
2219 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)) ; |
---|
2220 | *validNorm = true ; |
---|
2221 | *n = G4ThreeVector( p.x()/rhoSecTheta, // N+ |
---|
2222 | p.y()/rhoSecTheta, |
---|
2223 | -tanETheta/std::sqrt(1+tanETheta2) ) ; |
---|
2224 | } |
---|
2225 | return snxt = 0 ; |
---|
2226 | } |
---|
2227 | else if( ( fSTheta+fDTheta) == pi*0.5 && v.z() < 0 ) |
---|
2228 | { |
---|
2229 | if(calcNorm) |
---|
2230 | { |
---|
2231 | *validNorm = true ; |
---|
2232 | *n = G4ThreeVector(0,0,-1) ; |
---|
2233 | } |
---|
2234 | return snxt = 0 ; |
---|
2235 | } |
---|
2236 | } |
---|
2237 | if( fSTheta > 0 ) |
---|
2238 | { |
---|
2239 | // First root of fSTheta cone, second if first root -ve |
---|
2240 | |
---|
2241 | t1 = 1-v.z()*v.z()*(1+tanSTheta2); |
---|
2242 | t2 = pDotV2d-p.z()*v.z()*tanSTheta2; |
---|
2243 | |
---|
2244 | b = t2/t1; |
---|
2245 | c = dist2STheta/t1; |
---|
2246 | d2 = b*b - c ; |
---|
2247 | |
---|
2248 | if ( d2 >= 0 ) |
---|
2249 | { |
---|
2250 | d = std::sqrt(d2) ; |
---|
2251 | s = -b - d ; // First root |
---|
2252 | |
---|
2253 | if ( s < 0 ) |
---|
2254 | { |
---|
2255 | s = -b + d ; // Second root |
---|
2256 | } |
---|
2257 | if (s > flexRadMaxTolerance*0.5 ) // && s<sr) |
---|
2258 | { |
---|
2259 | // check against double cone solution |
---|
2260 | zi=p.z()+s*v.z(); |
---|
2261 | if (fSTheta<pi*0.5 && zi<0) |
---|
2262 | { |
---|
2263 | s = kInfinity ; // wrong cone |
---|
2264 | } |
---|
2265 | if (fSTheta>pi*0.5 && zi>0) |
---|
2266 | { |
---|
2267 | s = kInfinity ; // wrong cone |
---|
2268 | } |
---|
2269 | stheta = s ; |
---|
2270 | sidetheta = kSTheta ; |
---|
2271 | } |
---|
2272 | } |
---|
2273 | } |
---|
2274 | |
---|
2275 | // Possible intersection with ETheta cone |
---|
2276 | |
---|
2277 | if (fSTheta + fDTheta < pi) |
---|
2278 | { |
---|
2279 | t1 = 1-v.z()*v.z()*(1+tanETheta2); |
---|
2280 | t2 = pDotV2d-p.z()*v.z()*tanETheta2; |
---|
2281 | b = t2/t1; |
---|
2282 | c = dist2ETheta/t1; |
---|
2283 | d2 = b*b-c ; |
---|
2284 | |
---|
2285 | if ( d2 >= 0 ) |
---|
2286 | { |
---|
2287 | d = std::sqrt(d2); |
---|
2288 | s = -b - d ; // First root |
---|
2289 | |
---|
2290 | if ( s < 0 ) |
---|
2291 | { |
---|
2292 | s=-b+d; // Second root |
---|
2293 | } |
---|
2294 | if (s > flexRadMaxTolerance*0.5 && s < stheta ) |
---|
2295 | { |
---|
2296 | // check against double cone solution |
---|
2297 | zi=p.z()+s*v.z(); |
---|
2298 | if (fSTheta+fDTheta<pi*0.5 && zi<0) |
---|
2299 | { |
---|
2300 | s = kInfinity ; // wrong cone |
---|
2301 | } |
---|
2302 | if (fSTheta+fDTheta>pi*0.5 && zi>0) |
---|
2303 | { |
---|
2304 | s = kInfinity ; // wrong cone |
---|
2305 | } |
---|
2306 | } |
---|
2307 | if (s < stheta) |
---|
2308 | { |
---|
2309 | stheta = s ; |
---|
2310 | sidetheta = kETheta ; |
---|
2311 | } |
---|
2312 | } |
---|
2313 | } |
---|
2314 | } |
---|
2315 | */ //////////////////////////////////////////////////////////// |
---|
2316 | |
---|
2317 | if(fSTheta) // intersection with first cons |
---|
2318 | { |
---|
2319 | |
---|
2320 | tanSTheta = std::tan(fSTheta); |
---|
2321 | |
---|
2322 | if( std::fabs(tanSTheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
2323 | { |
---|
2324 | if( v.z() > 0. ) |
---|
2325 | { |
---|
2326 | if ( std::fabs( p.z() ) <= flexRadMaxTolerance*0.5 ) |
---|
2327 | { |
---|
2328 | if(calcNorm) |
---|
2329 | { |
---|
2330 | *validNorm = true; |
---|
2331 | *n = G4ThreeVector(0.,0.,1.); |
---|
2332 | } |
---|
2333 | return snxt = 0 ; |
---|
2334 | } |
---|
2335 | // s = -p.z()/v.z(); |
---|
2336 | stheta = -p.z()/v.z(); |
---|
2337 | sidetheta = kSTheta; |
---|
2338 | } |
---|
2339 | } |
---|
2340 | else // kons is not plane |
---|
2341 | { |
---|
2342 | tanSTheta2 = tanSTheta*tanSTheta; |
---|
2343 | t1 = 1-v.z()*v.z()*(1+tanSTheta2); |
---|
2344 | t2 = pDotV2d-p.z()*v.z()*tanSTheta2; // ~vDotN if p on cons |
---|
2345 | dist2STheta = rho2-p.z()*p.z()*tanSTheta2; // t3 |
---|
2346 | |
---|
2347 | // distTheta = std::sqrt(std::fabs(dist2STheta/(1+tanSTheta2))); |
---|
2348 | distTheta = std::sqrt(rho2)-p.z()*tanSTheta; |
---|
2349 | |
---|
2350 | if( std::fabs(t1) < 0.5*kAngTolerance ) // 1st order equation, v parallel to kons |
---|
2351 | { |
---|
2352 | if( v.z() > 0. ) |
---|
2353 | { |
---|
2354 | if(std::fabs(distTheta) < flexRadMaxTolerance*0.5) // p on surface |
---|
2355 | { |
---|
2356 | if( fSTheta < halfpi && p.z() > 0. ) |
---|
2357 | { |
---|
2358 | if( calcNorm ) *validNorm = false; |
---|
2359 | return snxt = 0.; |
---|
2360 | } |
---|
2361 | else if( fSTheta > halfpi && p.z() <= 0) |
---|
2362 | { |
---|
2363 | if( calcNorm ) |
---|
2364 | { |
---|
2365 | *validNorm = true; |
---|
2366 | if (rho2) |
---|
2367 | { |
---|
2368 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
2369 | |
---|
2370 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2371 | p.y()/rhoSecTheta, |
---|
2372 | std::sin(fSTheta) ); |
---|
2373 | } |
---|
2374 | else *n = G4ThreeVector(0.,0.,1.); |
---|
2375 | } |
---|
2376 | return snxt = 0.; |
---|
2377 | } |
---|
2378 | } |
---|
2379 | // s = -0.5*dist2STheta/t2; |
---|
2380 | |
---|
2381 | stheta = -0.5*dist2STheta/t2; |
---|
2382 | sidetheta = kSTheta; |
---|
2383 | } |
---|
2384 | } |
---|
2385 | else // 2nd order equation, 1st root of fSTheta cone, 2nd if 1st root -ve |
---|
2386 | { |
---|
2387 | if( std::fabs(distTheta) < flexRadMaxTolerance*0.5) // && t2 >= 0.) surface |
---|
2388 | { |
---|
2389 | if( fSTheta > halfpi && t2 >= 0. ) // leave |
---|
2390 | { |
---|
2391 | if( calcNorm ) |
---|
2392 | { |
---|
2393 | *validNorm = true; |
---|
2394 | if (rho2) |
---|
2395 | { |
---|
2396 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
2397 | |
---|
2398 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2399 | p.y()/rhoSecTheta, |
---|
2400 | std::sin(fSTheta) ); |
---|
2401 | } |
---|
2402 | else *n = G4ThreeVector(0.,0.,1.); |
---|
2403 | } |
---|
2404 | return snxt = 0.; |
---|
2405 | } |
---|
2406 | else if( fSTheta < halfpi && t2 < 0. && p.z() >=0. ) // leave |
---|
2407 | { |
---|
2408 | if( calcNorm ) *validNorm = false; |
---|
2409 | return snxt = 0.; |
---|
2410 | } |
---|
2411 | } |
---|
2412 | b = t2/t1; |
---|
2413 | c = dist2STheta/t1; |
---|
2414 | d2 = b*b - c ; |
---|
2415 | |
---|
2416 | if ( d2 >= 0. ) |
---|
2417 | { |
---|
2418 | d = std::sqrt(d2); |
---|
2419 | |
---|
2420 | if( fSTheta > halfpi ) |
---|
2421 | { |
---|
2422 | s = -b - d; // First root |
---|
2423 | |
---|
2424 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 < 0.) || |
---|
2425 | s < 0. || |
---|
2426 | ( s > 0. && p.z() + s*v.z() > 0.) ) |
---|
2427 | { |
---|
2428 | s = -b + d ; // 2nd root |
---|
2429 | } |
---|
2430 | if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() <= 0.) |
---|
2431 | { |
---|
2432 | stheta = s; |
---|
2433 | sidetheta = kSTheta; |
---|
2434 | } |
---|
2435 | } |
---|
2436 | else // sTheta < pi/2, concave surface, no normal |
---|
2437 | { |
---|
2438 | s = -b - d; // First root |
---|
2439 | |
---|
2440 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 >= 0.) || |
---|
2441 | s < 0. || |
---|
2442 | ( s > 0. && p.z() + s*v.z() < 0.) ) |
---|
2443 | { |
---|
2444 | s = -b + d ; // 2nd root |
---|
2445 | } |
---|
2446 | if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() >= 0.) |
---|
2447 | { |
---|
2448 | stheta = s; |
---|
2449 | sidetheta = kSTheta; |
---|
2450 | } |
---|
2451 | } |
---|
2452 | } |
---|
2453 | } |
---|
2454 | } |
---|
2455 | } |
---|
2456 | if (fSTheta + fDTheta < pi) // intersection with second cons |
---|
2457 | { |
---|
2458 | |
---|
2459 | tanETheta = std::tan(fSTheta+fDTheta); |
---|
2460 | |
---|
2461 | if( std::fabs(tanETheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
2462 | { |
---|
2463 | if( v.z() < 0. ) |
---|
2464 | { |
---|
2465 | if ( std::fabs( p.z() ) <= flexRadMaxTolerance*0.5 ) |
---|
2466 | { |
---|
2467 | if(calcNorm) |
---|
2468 | { |
---|
2469 | *validNorm = true; |
---|
2470 | *n = G4ThreeVector(0.,0.,-1.); |
---|
2471 | } |
---|
2472 | return snxt = 0 ; |
---|
2473 | } |
---|
2474 | s = -p.z()/v.z(); |
---|
2475 | |
---|
2476 | if( s < stheta) |
---|
2477 | { |
---|
2478 | stheta = s; |
---|
2479 | sidetheta = kETheta; |
---|
2480 | } |
---|
2481 | } |
---|
2482 | } |
---|
2483 | else // kons is not plane |
---|
2484 | { |
---|
2485 | tanETheta2 = tanETheta*tanETheta; |
---|
2486 | t1 = 1-v.z()*v.z()*(1+tanETheta2); |
---|
2487 | t2 = pDotV2d-p.z()*v.z()*tanETheta2; // ~vDotN if p on cons |
---|
2488 | dist2ETheta = rho2-p.z()*p.z()*tanETheta2; // t3 |
---|
2489 | |
---|
2490 | // distTheta = std::sqrt(std::fabs(dist2ETheta/(1+tanETheta2))); |
---|
2491 | distTheta = std::sqrt(rho2)-p.z()*tanETheta; |
---|
2492 | |
---|
2493 | if( std::fabs(t1) < 0.5*kAngTolerance ) // 1st order equation, v parallel to kons |
---|
2494 | { |
---|
2495 | if( v.z() < 0. ) |
---|
2496 | { |
---|
2497 | if(std::fabs(distTheta) < flexRadMaxTolerance*0.5) // p on surface |
---|
2498 | { |
---|
2499 | if( fSTheta+fDTheta > halfpi && p.z() < 0. ) |
---|
2500 | { |
---|
2501 | if( calcNorm ) *validNorm = false; |
---|
2502 | return snxt = 0.; |
---|
2503 | } |
---|
2504 | else if( fSTheta+fDTheta < halfpi && p.z() >= 0) |
---|
2505 | { |
---|
2506 | if( calcNorm ) |
---|
2507 | { |
---|
2508 | *validNorm = true; |
---|
2509 | if (rho2) |
---|
2510 | { |
---|
2511 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
2512 | |
---|
2513 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2514 | p.y()/rhoSecTheta, |
---|
2515 | -std::sin(fSTheta+fDTheta) ); |
---|
2516 | } |
---|
2517 | else *n = G4ThreeVector(0.,0.,-1.); |
---|
2518 | } |
---|
2519 | return snxt = 0.; |
---|
2520 | } |
---|
2521 | } |
---|
2522 | s = -0.5*dist2ETheta/t2; |
---|
2523 | |
---|
2524 | if( s < stheta) |
---|
2525 | { |
---|
2526 | stheta = s; |
---|
2527 | sidetheta = kETheta; |
---|
2528 | } |
---|
2529 | } |
---|
2530 | } |
---|
2531 | else // 2nd order equation, 1st root of fSTheta cone, 2nd if 1st root -ve |
---|
2532 | { |
---|
2533 | if( std::fabs(distTheta) < flexRadMaxTolerance*0.5) // && t2 >= 0.) surface |
---|
2534 | { |
---|
2535 | if( fSTheta+fDTheta < halfpi && t2 >= 0. ) // leave |
---|
2536 | { |
---|
2537 | if( calcNorm ) |
---|
2538 | { |
---|
2539 | *validNorm = true; |
---|
2540 | if (rho2) |
---|
2541 | { |
---|
2542 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
2543 | |
---|
2544 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
2545 | p.y()/rhoSecTheta, |
---|
2546 | -std::sin(fSTheta+fDTheta) ); |
---|
2547 | } |
---|
2548 | else *n = G4ThreeVector(0.,0.,-1.); |
---|
2549 | } |
---|
2550 | return snxt = 0.; |
---|
2551 | } |
---|
2552 | else if( fSTheta+fDTheta > halfpi && t2 < 0. && p.z() <=0. ) // leave |
---|
2553 | { |
---|
2554 | if( calcNorm ) *validNorm = false; |
---|
2555 | return snxt = 0.; |
---|
2556 | } |
---|
2557 | } |
---|
2558 | b = t2/t1; |
---|
2559 | c = dist2ETheta/t1; |
---|
2560 | d2 = b*b - c ; |
---|
2561 | |
---|
2562 | if ( d2 >= 0. ) |
---|
2563 | { |
---|
2564 | d = std::sqrt(d2); |
---|
2565 | |
---|
2566 | if( fSTheta+fDTheta < halfpi ) |
---|
2567 | { |
---|
2568 | s = -b - d; // First root |
---|
2569 | |
---|
2570 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 < 0.) || |
---|
2571 | s < 0. ) |
---|
2572 | { |
---|
2573 | s = -b + d ; // 2nd root |
---|
2574 | } |
---|
2575 | if( s > flexRadMaxTolerance*0.5 ) |
---|
2576 | { |
---|
2577 | if( s < stheta ) |
---|
2578 | { |
---|
2579 | stheta = s; |
---|
2580 | sidetheta = kETheta; |
---|
2581 | } |
---|
2582 | } |
---|
2583 | } |
---|
2584 | else // sTheta+fDTheta > pi/2, concave surface, no normal |
---|
2585 | { |
---|
2586 | s = -b - d; // First root |
---|
2587 | |
---|
2588 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 >= 0.) || |
---|
2589 | s < 0. || |
---|
2590 | ( s > 0. && p.z() + s*v.z() > 0.) ) |
---|
2591 | { |
---|
2592 | s = -b + d ; // 2nd root |
---|
2593 | } |
---|
2594 | if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() <= 0.) |
---|
2595 | { |
---|
2596 | if( s < stheta ) |
---|
2597 | { |
---|
2598 | stheta = s; |
---|
2599 | sidetheta = kETheta; |
---|
2600 | } |
---|
2601 | } |
---|
2602 | } |
---|
2603 | } |
---|
2604 | } |
---|
2605 | } |
---|
2606 | } |
---|
2607 | |
---|
2608 | } // end theta intersections |
---|
2609 | |
---|
2610 | // Phi Intersection |
---|
2611 | |
---|
2612 | if ( fDPhi < twopi) |
---|
2613 | { |
---|
2614 | sinSPhi=std::sin(fSPhi); |
---|
2615 | cosSPhi=std::cos(fSPhi); |
---|
2616 | ePhi=fSPhi+fDPhi; |
---|
2617 | sinEPhi=std::sin(ePhi); |
---|
2618 | cosEPhi=std::cos(ePhi); |
---|
2619 | cPhi=fSPhi+fDPhi*0.5; |
---|
2620 | sinCPhi=std::sin(cPhi); |
---|
2621 | cosCPhi=std::cos(cPhi); |
---|
2622 | |
---|
2623 | if ( p.x()||p.y() ) // Check if on z axis (rho not needed later) |
---|
2624 | { |
---|
2625 | // pDist -ve when inside |
---|
2626 | |
---|
2627 | pDistS=p.x()*sinSPhi-p.y()*cosSPhi; |
---|
2628 | pDistE=-p.x()*sinEPhi+p.y()*cosEPhi; |
---|
2629 | |
---|
2630 | // Comp -ve when in direction of outwards normal |
---|
2631 | |
---|
2632 | compS = -sinSPhi*v.x()+cosSPhi*v.y() ; |
---|
2633 | compE = sinEPhi*v.x()-cosEPhi*v.y() ; |
---|
2634 | sidephi = kNull ; |
---|
2635 | |
---|
2636 | if ( pDistS <= 0 && pDistE <= 0 ) |
---|
2637 | { |
---|
2638 | // Inside both phi *full* planes |
---|
2639 | |
---|
2640 | if ( compS < 0 ) |
---|
2641 | { |
---|
2642 | sphi = pDistS/compS ; |
---|
2643 | xi = p.x()+sphi*v.x() ; |
---|
2644 | yi = p.y()+sphi*v.y() ; |
---|
2645 | |
---|
2646 | // Check intersecting with correct half-plane |
---|
2647 | // (if not -> no intersect) |
---|
2648 | |
---|
2649 | if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
2650 | { |
---|
2651 | sphi=kInfinity; |
---|
2652 | } |
---|
2653 | else |
---|
2654 | { |
---|
2655 | sidephi = kSPhi ; |
---|
2656 | if ( pDistS > -0.5*kCarTolerance) sphi =0 ; // Leave by sphi |
---|
2657 | } |
---|
2658 | } |
---|
2659 | else sphi = kInfinity ; |
---|
2660 | |
---|
2661 | if ( compE < 0 ) |
---|
2662 | { |
---|
2663 | sphi2=pDistE/compE ; |
---|
2664 | if (sphi2 < sphi) // Only check further if < starting phi intersection |
---|
2665 | { |
---|
2666 | xi = p.x()+sphi2*v.x() ; |
---|
2667 | yi = p.y()+sphi2*v.y() ; |
---|
2668 | |
---|
2669 | // Check intersecting with correct half-plane |
---|
2670 | |
---|
2671 | if ((yi*cosCPhi-xi*sinCPhi)>=0) // Leaving via ending phi |
---|
2672 | { |
---|
2673 | sidephi = kEPhi ; |
---|
2674 | if ( pDistE <= -0.5*kCarTolerance ) |
---|
2675 | { |
---|
2676 | sphi=sphi2; |
---|
2677 | } |
---|
2678 | else |
---|
2679 | { |
---|
2680 | sphi = 0 ; |
---|
2681 | } |
---|
2682 | } |
---|
2683 | } |
---|
2684 | } |
---|
2685 | } |
---|
2686 | else if ( pDistS >= 0 && pDistE >= 0 ) // Outside both *full* phi planes |
---|
2687 | { |
---|
2688 | if ( pDistS <= pDistE ) |
---|
2689 | { |
---|
2690 | sidephi = kSPhi ; |
---|
2691 | } |
---|
2692 | else |
---|
2693 | { |
---|
2694 | sidephi = kEPhi ; |
---|
2695 | } |
---|
2696 | if ( fDPhi > pi ) |
---|
2697 | { |
---|
2698 | if ( compS < 0 && compE < 0 ) sphi = 0 ; |
---|
2699 | else sphi = kInfinity ; |
---|
2700 | } |
---|
2701 | else |
---|
2702 | { |
---|
2703 | // if towards both >=0 then once inside (after error) |
---|
2704 | // will remain inside |
---|
2705 | |
---|
2706 | if ( compS >= 0 && compE >= 0 ) |
---|
2707 | { |
---|
2708 | sphi=kInfinity; |
---|
2709 | } |
---|
2710 | else |
---|
2711 | { |
---|
2712 | sphi=0; |
---|
2713 | } |
---|
2714 | } |
---|
2715 | } |
---|
2716 | else if ( pDistS > 0 && pDistE < 0 ) |
---|
2717 | { |
---|
2718 | // Outside full starting plane, inside full ending plane |
---|
2719 | |
---|
2720 | if ( fDPhi > pi ) |
---|
2721 | { |
---|
2722 | if ( compE < 0 ) |
---|
2723 | { |
---|
2724 | sphi = pDistE/compE ; |
---|
2725 | xi = p.x() + sphi*v.x() ; |
---|
2726 | yi = p.y() + sphi*v.y() ; |
---|
2727 | |
---|
2728 | // Check intersection in correct half-plane |
---|
2729 | // (if not -> not leaving phi extent) |
---|
2730 | // |
---|
2731 | if ( ( yi*cosCPhi - xi*sinCPhi ) <= 0 ) |
---|
2732 | { |
---|
2733 | sphi = kInfinity ; |
---|
2734 | } |
---|
2735 | else // Leaving via Ending phi |
---|
2736 | { |
---|
2737 | sidephi = kEPhi ; |
---|
2738 | if ( pDistE > -0.5*kCarTolerance ) sphi = 0. ; |
---|
2739 | } |
---|
2740 | } |
---|
2741 | else |
---|
2742 | { |
---|
2743 | sphi = kInfinity ; |
---|
2744 | } |
---|
2745 | } |
---|
2746 | else |
---|
2747 | { |
---|
2748 | if ( compS >= 0 ) |
---|
2749 | { |
---|
2750 | if ( compE < 0 ) |
---|
2751 | { |
---|
2752 | sphi = pDistE/compE ; |
---|
2753 | xi = p.x() + sphi*v.x() ; |
---|
2754 | yi = p.y() + sphi*v.y() ; |
---|
2755 | |
---|
2756 | // Check intersection in correct half-plane |
---|
2757 | // (if not -> remain in extent) |
---|
2758 | // |
---|
2759 | if ( ( yi*cosCPhi - xi*sinCPhi) <= 0 ) |
---|
2760 | { |
---|
2761 | sphi=kInfinity; |
---|
2762 | } |
---|
2763 | else // otherwise leaving via Ending phi |
---|
2764 | { |
---|
2765 | sidephi = kEPhi ; |
---|
2766 | } |
---|
2767 | } |
---|
2768 | else sphi=kInfinity; |
---|
2769 | } |
---|
2770 | else // leaving immediately by starting phi |
---|
2771 | { |
---|
2772 | sidephi = kSPhi ; |
---|
2773 | sphi = 0 ; |
---|
2774 | } |
---|
2775 | } |
---|
2776 | } |
---|
2777 | else |
---|
2778 | { |
---|
2779 | // Must be pDistS < 0 && pDistE > 0 |
---|
2780 | // Inside full starting plane, outside full ending plane |
---|
2781 | |
---|
2782 | if ( fDPhi > pi ) |
---|
2783 | { |
---|
2784 | if ( compS < 0 ) |
---|
2785 | { |
---|
2786 | sphi=pDistS/compS; |
---|
2787 | xi=p.x()+sphi*v.x(); |
---|
2788 | yi=p.y()+sphi*v.y(); |
---|
2789 | |
---|
2790 | // Check intersection in correct half-plane |
---|
2791 | // (if not -> not leaving phi extent) |
---|
2792 | // |
---|
2793 | if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
2794 | { |
---|
2795 | sphi = kInfinity ; |
---|
2796 | } |
---|
2797 | else // Leaving via Starting phi |
---|
2798 | { |
---|
2799 | sidephi = kSPhi ; |
---|
2800 | if ( pDistS > -0.5*kCarTolerance ) sphi = 0 ; |
---|
2801 | } |
---|
2802 | } |
---|
2803 | else |
---|
2804 | { |
---|
2805 | sphi = kInfinity ; |
---|
2806 | } |
---|
2807 | } |
---|
2808 | else |
---|
2809 | { |
---|
2810 | if ( compE >= 0 ) |
---|
2811 | { |
---|
2812 | if ( compS < 0 ) |
---|
2813 | { |
---|
2814 | sphi = pDistS/compS ; |
---|
2815 | xi = p.x()+sphi*v.x() ; |
---|
2816 | yi = p.y()+sphi*v.y() ; |
---|
2817 | |
---|
2818 | // Check intersection in correct half-plane |
---|
2819 | // (if not -> remain in extent) |
---|
2820 | // |
---|
2821 | if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
2822 | { |
---|
2823 | sphi = kInfinity ; |
---|
2824 | } |
---|
2825 | else // otherwise leaving via Starting phi |
---|
2826 | { |
---|
2827 | sidephi = kSPhi ; |
---|
2828 | } |
---|
2829 | } |
---|
2830 | else |
---|
2831 | { |
---|
2832 | sphi = kInfinity ; |
---|
2833 | } |
---|
2834 | } |
---|
2835 | else // leaving immediately by ending |
---|
2836 | { |
---|
2837 | sidephi = kEPhi ; |
---|
2838 | sphi = 0 ; |
---|
2839 | } |
---|
2840 | } |
---|
2841 | } |
---|
2842 | } |
---|
2843 | else |
---|
2844 | { |
---|
2845 | // On z axis + travel not || to z axis -> if phi of vector direction |
---|
2846 | // within phi of shape, Step limited by rmax, else Step =0 |
---|
2847 | |
---|
2848 | if ( v.x() || v.y() ) |
---|
2849 | { |
---|
2850 | vphi = std::atan2(v.y(),v.x()) ; |
---|
2851 | if ( fSPhi < vphi && vphi < fSPhi + fDPhi ) |
---|
2852 | { |
---|
2853 | sphi=kInfinity; |
---|
2854 | } |
---|
2855 | else |
---|
2856 | { |
---|
2857 | sidephi = kSPhi ; // arbitrary |
---|
2858 | sphi = 0 ; |
---|
2859 | } |
---|
2860 | } |
---|
2861 | else // travel along z - no phi intersaction |
---|
2862 | { |
---|
2863 | sphi = kInfinity ; |
---|
2864 | } |
---|
2865 | } |
---|
2866 | if ( sphi < snxt ) // Order intersecttions |
---|
2867 | { |
---|
2868 | snxt = sphi ; |
---|
2869 | side = sidephi ; |
---|
2870 | } |
---|
2871 | } |
---|
2872 | if (stheta < snxt ) // Order intersections |
---|
2873 | { |
---|
2874 | snxt = stheta ; |
---|
2875 | side = sidetheta ; |
---|
2876 | } |
---|
2877 | |
---|
2878 | if (calcNorm) // Output switch operator |
---|
2879 | { |
---|
2880 | switch( side ) |
---|
2881 | { |
---|
2882 | case kRMax: |
---|
2883 | xi=p.x()+snxt*v.x(); |
---|
2884 | yi=p.y()+snxt*v.y(); |
---|
2885 | zi=p.z()+snxt*v.z(); |
---|
2886 | *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi/fRmax); |
---|
2887 | *validNorm=true; |
---|
2888 | break; |
---|
2889 | |
---|
2890 | case kRMin: |
---|
2891 | *validNorm=false; // Rmin is concave |
---|
2892 | break; |
---|
2893 | |
---|
2894 | case kSPhi: |
---|
2895 | if ( fDPhi <= pi ) // Normal to Phi- |
---|
2896 | { |
---|
2897 | *n=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0); |
---|
2898 | *validNorm=true; |
---|
2899 | } |
---|
2900 | else *validNorm=false; |
---|
2901 | break ; |
---|
2902 | |
---|
2903 | case kEPhi: |
---|
2904 | if ( fDPhi <= pi ) // Normal to Phi+ |
---|
2905 | { |
---|
2906 | *n=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0); |
---|
2907 | *validNorm=true; |
---|
2908 | } |
---|
2909 | else *validNorm=false; |
---|
2910 | break; |
---|
2911 | |
---|
2912 | case kSTheta: |
---|
2913 | if( fSTheta == halfpi ) |
---|
2914 | { |
---|
2915 | *n=G4ThreeVector(0.,0.,1.); |
---|
2916 | *validNorm=true; |
---|
2917 | } |
---|
2918 | else if ( fSTheta > halfpi ) |
---|
2919 | { |
---|
2920 | xi = p.x() + snxt*v.x(); |
---|
2921 | yi = p.y() + snxt*v.y(); |
---|
2922 | rhoSecTheta = std::sqrt((xi*xi+yi*yi)*(1+tanSTheta2)); |
---|
2923 | *n = G4ThreeVector( xi/rhoSecTheta, // N- |
---|
2924 | yi/rhoSecTheta, |
---|
2925 | -tanSTheta/std::sqrt(1+tanSTheta2)); |
---|
2926 | *validNorm=true; |
---|
2927 | } |
---|
2928 | else *validNorm=false; // Concave STheta cone |
---|
2929 | break; |
---|
2930 | |
---|
2931 | case kETheta: |
---|
2932 | if( ( fSTheta + fDTheta ) == halfpi ) |
---|
2933 | { |
---|
2934 | *n = G4ThreeVector(0.,0.,-1.); |
---|
2935 | *validNorm = true; |
---|
2936 | } |
---|
2937 | else if ( ( fSTheta + fDTheta ) < halfpi) |
---|
2938 | { |
---|
2939 | xi=p.x()+snxt*v.x(); |
---|
2940 | yi=p.y()+snxt*v.y(); |
---|
2941 | rhoSecTheta = std::sqrt((xi*xi+yi*yi)*(1+tanETheta2)); |
---|
2942 | *n = G4ThreeVector( xi/rhoSecTheta, // N+ |
---|
2943 | yi/rhoSecTheta, |
---|
2944 | -tanETheta/std::sqrt(1+tanETheta2) ); |
---|
2945 | *validNorm=true; |
---|
2946 | } |
---|
2947 | else *validNorm=false; // Concave ETheta cone |
---|
2948 | break; |
---|
2949 | |
---|
2950 | default: |
---|
2951 | G4cout.precision(16); |
---|
2952 | G4cout << G4endl; |
---|
2953 | DumpInfo(); |
---|
2954 | G4cout << "Position:" << G4endl << G4endl; |
---|
2955 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
2956 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
2957 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
2958 | G4cout << "Direction:" << G4endl << G4endl; |
---|
2959 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
2960 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
2961 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
2962 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
2963 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
2964 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
2965 | "Notification", JustWarning, |
---|
2966 | "Undefined side for valid surface normal to solid."); |
---|
2967 | break; |
---|
2968 | } |
---|
2969 | } |
---|
2970 | if (snxt == kInfinity) |
---|
2971 | { |
---|
2972 | G4cout.precision(24); |
---|
2973 | G4cout << G4endl; |
---|
2974 | DumpInfo(); |
---|
2975 | G4cout << "Position:" << G4endl << G4endl; |
---|
2976 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
2977 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
2978 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
2979 | G4cout << "Rp = "<< std::sqrt( p.x()*p.x()+p.y()*p.y()+p.z()*p.z() )/mm << " mm" |
---|
2980 | << G4endl << G4endl; |
---|
2981 | G4cout << "Direction:" << G4endl << G4endl; |
---|
2982 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
2983 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
2984 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
2985 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
2986 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
2987 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
2988 | "Notification", JustWarning, |
---|
2989 | "Logic error: snxt = kInfinity ???"); |
---|
2990 | } |
---|
2991 | |
---|
2992 | return snxt; |
---|
2993 | } |
---|
2994 | |
---|
2995 | ///////////////////////////////////////////////////////////////////////// |
---|
2996 | // |
---|
2997 | // Calcluate distance (<=actual) to closest surface of shape from inside |
---|
2998 | |
---|
2999 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p ) const |
---|
3000 | { |
---|
3001 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
3002 | G4double rho2,rad,rho; |
---|
3003 | G4double phiC,cosPhiC,sinPhiC,ePhi; |
---|
3004 | G4double pTheta,dTheta1,dTheta2; |
---|
3005 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
3006 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
3007 | rho=std::sqrt(rho2); |
---|
3008 | |
---|
3009 | #ifdef G4CSGDEBUG |
---|
3010 | if( Inside(p) == kOutside ) |
---|
3011 | { |
---|
3012 | G4cout.precision(16) ; |
---|
3013 | G4cout << G4endl ; |
---|
3014 | DumpInfo(); |
---|
3015 | G4cout << "Position:" << G4endl << G4endl ; |
---|
3016 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ; |
---|
3017 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ; |
---|
3018 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ; |
---|
3019 | G4Exception("G4Sphere::DistanceToOut(p)", |
---|
3020 | "Notification", JustWarning, "Point p is outside !?" ); |
---|
3021 | } |
---|
3022 | #endif |
---|
3023 | |
---|
3024 | // |
---|
3025 | // Distance to r shells |
---|
3026 | // |
---|
3027 | if (fRmin) |
---|
3028 | { |
---|
3029 | safeRMin=rad-fRmin; |
---|
3030 | safeRMax=fRmax-rad; |
---|
3031 | if (safeRMin<safeRMax) |
---|
3032 | { |
---|
3033 | safe=safeRMin; |
---|
3034 | } |
---|
3035 | else |
---|
3036 | { |
---|
3037 | safe=safeRMax; |
---|
3038 | } |
---|
3039 | } |
---|
3040 | else |
---|
3041 | { |
---|
3042 | safe=fRmax-rad; |
---|
3043 | } |
---|
3044 | |
---|
3045 | // |
---|
3046 | // Distance to phi extent |
---|
3047 | // |
---|
3048 | if (fDPhi<twopi && rho) |
---|
3049 | { |
---|
3050 | phiC=fSPhi+fDPhi*0.5; |
---|
3051 | cosPhiC=std::cos(phiC); |
---|
3052 | sinPhiC=std::sin(phiC); |
---|
3053 | if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0) |
---|
3054 | { |
---|
3055 | safePhi=-(p.x()*std::sin(fSPhi)-p.y()*std::cos(fSPhi)); |
---|
3056 | } |
---|
3057 | else |
---|
3058 | { |
---|
3059 | ePhi=fSPhi+fDPhi; |
---|
3060 | safePhi=(p.x()*std::sin(ePhi)-p.y()*std::cos(ePhi)); |
---|
3061 | } |
---|
3062 | if (safePhi<safe) safe=safePhi; |
---|
3063 | } |
---|
3064 | |
---|
3065 | // |
---|
3066 | // Distance to Theta extent |
---|
3067 | // |
---|
3068 | if (rad) |
---|
3069 | { |
---|
3070 | pTheta=std::acos(p.z()/rad); |
---|
3071 | if (pTheta<0) pTheta+=pi; |
---|
3072 | dTheta1=pTheta-fSTheta; |
---|
3073 | dTheta2=(fSTheta+fDTheta)-pTheta; |
---|
3074 | if (dTheta1<dTheta2) |
---|
3075 | { |
---|
3076 | safeTheta=rad*std::sin(dTheta1); |
---|
3077 | if (safe>safeTheta) |
---|
3078 | { |
---|
3079 | safe=safeTheta; |
---|
3080 | } |
---|
3081 | } |
---|
3082 | else |
---|
3083 | { |
---|
3084 | safeTheta=rad*std::sin(dTheta2); |
---|
3085 | if (safe>safeTheta) |
---|
3086 | { |
---|
3087 | safe=safeTheta; |
---|
3088 | } |
---|
3089 | } |
---|
3090 | } |
---|
3091 | |
---|
3092 | if (safe<0) safe=0; |
---|
3093 | return safe; |
---|
3094 | } |
---|
3095 | |
---|
3096 | ////////////////////////////////////////////////////////////////////////// |
---|
3097 | // |
---|
3098 | // Create a List containing the transformed vertices |
---|
3099 | // Ordering [0-3] -fDz cross section |
---|
3100 | // [4-7] +fDz cross section such that [0] is below [4], |
---|
3101 | // [1] below [5] etc. |
---|
3102 | // Note: |
---|
3103 | // Caller has deletion resposibility |
---|
3104 | // Potential improvement: For last slice, use actual ending angle |
---|
3105 | // to avoid rounding error problems. |
---|
3106 | |
---|
3107 | G4ThreeVectorList* |
---|
3108 | G4Sphere::CreateRotatedVertices( const G4AffineTransform& pTransform, |
---|
3109 | G4int& noPolygonVertices ) const |
---|
3110 | { |
---|
3111 | G4ThreeVectorList *vertices; |
---|
3112 | G4ThreeVector vertex; |
---|
3113 | G4double meshAnglePhi,meshRMax,crossAnglePhi, |
---|
3114 | coscrossAnglePhi,sincrossAnglePhi,sAnglePhi; |
---|
3115 | G4double meshTheta,crossTheta,startTheta; |
---|
3116 | G4double rMaxX,rMaxY,rMinX,rMinY,rMinZ,rMaxZ; |
---|
3117 | G4int crossSectionPhi,noPhiCrossSections,crossSectionTheta,noThetaSections; |
---|
3118 | |
---|
3119 | // Phi cross sections |
---|
3120 | |
---|
3121 | noPhiCrossSections=G4int (fDPhi/kMeshAngleDefault)+1; |
---|
3122 | |
---|
3123 | if (noPhiCrossSections<kMinMeshSections) |
---|
3124 | { |
---|
3125 | noPhiCrossSections=kMinMeshSections; |
---|
3126 | } |
---|
3127 | else if (noPhiCrossSections>kMaxMeshSections) |
---|
3128 | { |
---|
3129 | noPhiCrossSections=kMaxMeshSections; |
---|
3130 | } |
---|
3131 | meshAnglePhi=fDPhi/(noPhiCrossSections-1); |
---|
3132 | |
---|
3133 | // If complete in phi, set start angle such that mesh will be at fRMax |
---|
3134 | // on the x axis. Will give better extent calculations when not rotated. |
---|
3135 | |
---|
3136 | if (fDPhi==pi*2.0 && fSPhi==0) |
---|
3137 | { |
---|
3138 | sAnglePhi = -meshAnglePhi*0.5; |
---|
3139 | } |
---|
3140 | else |
---|
3141 | { |
---|
3142 | sAnglePhi=fSPhi; |
---|
3143 | } |
---|
3144 | |
---|
3145 | // Theta cross sections |
---|
3146 | |
---|
3147 | noThetaSections = G4int(fDTheta/kMeshAngleDefault)+1; |
---|
3148 | |
---|
3149 | if (noThetaSections<kMinMeshSections) |
---|
3150 | { |
---|
3151 | noThetaSections=kMinMeshSections; |
---|
3152 | } |
---|
3153 | else if (noThetaSections>kMaxMeshSections) |
---|
3154 | { |
---|
3155 | noThetaSections=kMaxMeshSections; |
---|
3156 | } |
---|
3157 | meshTheta=fDTheta/(noThetaSections-1); |
---|
3158 | |
---|
3159 | // If complete in Theta, set start angle such that mesh will be at fRMax |
---|
3160 | // on the z axis. Will give better extent calculations when not rotated. |
---|
3161 | |
---|
3162 | if (fDTheta==pi && fSTheta==0) |
---|
3163 | { |
---|
3164 | startTheta = -meshTheta*0.5; |
---|
3165 | } |
---|
3166 | else |
---|
3167 | { |
---|
3168 | startTheta=fSTheta; |
---|
3169 | } |
---|
3170 | |
---|
3171 | meshRMax = (meshAnglePhi >= meshTheta) ? |
---|
3172 | fRmax/std::cos(meshAnglePhi*0.5) : fRmax/std::cos(meshTheta*0.5); |
---|
3173 | G4double* cosCrossTheta = new G4double[noThetaSections]; |
---|
3174 | G4double* sinCrossTheta = new G4double[noThetaSections]; |
---|
3175 | vertices=new G4ThreeVectorList(); |
---|
3176 | vertices->reserve(noPhiCrossSections*(noThetaSections*2)); |
---|
3177 | if (vertices && cosCrossTheta && sinCrossTheta) |
---|
3178 | { |
---|
3179 | for (crossSectionPhi=0; |
---|
3180 | crossSectionPhi<noPhiCrossSections; crossSectionPhi++) |
---|
3181 | { |
---|
3182 | crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi; |
---|
3183 | coscrossAnglePhi=std::cos(crossAnglePhi); |
---|
3184 | sincrossAnglePhi=std::sin(crossAnglePhi); |
---|
3185 | for (crossSectionTheta=0; |
---|
3186 | crossSectionTheta<noThetaSections;crossSectionTheta++) |
---|
3187 | { |
---|
3188 | // Compute coordinates of cross section at section crossSectionPhi |
---|
3189 | // |
---|
3190 | crossTheta=startTheta+crossSectionTheta*meshTheta; |
---|
3191 | cosCrossTheta[crossSectionTheta]=std::cos(crossTheta); |
---|
3192 | sinCrossTheta[crossSectionTheta]=std::sin(crossTheta); |
---|
3193 | |
---|
3194 | rMinX=fRmin*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
3195 | rMinY=fRmin*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
3196 | rMinZ=fRmin*cosCrossTheta[crossSectionTheta]; |
---|
3197 | |
---|
3198 | vertex=G4ThreeVector(rMinX,rMinY,rMinZ); |
---|
3199 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
3200 | |
---|
3201 | } // Theta forward |
---|
3202 | |
---|
3203 | for (crossSectionTheta=noThetaSections-1; |
---|
3204 | crossSectionTheta>=0; crossSectionTheta--) |
---|
3205 | { |
---|
3206 | rMaxX=meshRMax*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
3207 | rMaxY=meshRMax*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
3208 | rMaxZ=meshRMax*cosCrossTheta[crossSectionTheta]; |
---|
3209 | |
---|
3210 | vertex=G4ThreeVector(rMaxX,rMaxY,rMaxZ); |
---|
3211 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
3212 | |
---|
3213 | } // Theta back |
---|
3214 | } // Phi |
---|
3215 | noPolygonVertices = noThetaSections*2 ; |
---|
3216 | } |
---|
3217 | else |
---|
3218 | { |
---|
3219 | DumpInfo(); |
---|
3220 | G4Exception("G4Sphere::CreateRotatedVertices()", |
---|
3221 | "FatalError", FatalException, |
---|
3222 | "Error in allocation of vertices. Out of memory !"); |
---|
3223 | } |
---|
3224 | |
---|
3225 | delete[] cosCrossTheta; |
---|
3226 | delete[] sinCrossTheta; |
---|
3227 | |
---|
3228 | return vertices; |
---|
3229 | } |
---|
3230 | |
---|
3231 | ////////////////////////////////////////////////////////////////////////// |
---|
3232 | // |
---|
3233 | // G4EntityType |
---|
3234 | |
---|
3235 | G4GeometryType G4Sphere::GetEntityType() const |
---|
3236 | { |
---|
3237 | return G4String("G4Sphere"); |
---|
3238 | } |
---|
3239 | |
---|
3240 | ////////////////////////////////////////////////////////////////////////// |
---|
3241 | // |
---|
3242 | // Stream object contents to an output stream |
---|
3243 | |
---|
3244 | std::ostream& G4Sphere::StreamInfo( std::ostream& os ) const |
---|
3245 | { |
---|
3246 | os << "-----------------------------------------------------------\n" |
---|
3247 | << " *** Dump for solid - " << GetName() << " ***\n" |
---|
3248 | << " ===================================================\n" |
---|
3249 | << " Solid type: G4Sphere\n" |
---|
3250 | << " Parameters: \n" |
---|
3251 | << " inner radius: " << fRmin/mm << " mm \n" |
---|
3252 | << " outer radius: " << fRmax/mm << " mm \n" |
---|
3253 | << " starting phi of segment : " << fSPhi/degree << " degrees \n" |
---|
3254 | << " delta phi of segment : " << fDPhi/degree << " degrees \n" |
---|
3255 | << " starting theta of segment: " << fSTheta/degree << " degrees \n" |
---|
3256 | << " delta theta of segment : " << fDTheta/degree << " degrees \n" |
---|
3257 | << "-----------------------------------------------------------\n"; |
---|
3258 | |
---|
3259 | return os; |
---|
3260 | } |
---|
3261 | |
---|
3262 | //////////////////////////////////////////////////////////////////////////////// |
---|
3263 | // |
---|
3264 | // GetPointOnSurface |
---|
3265 | |
---|
3266 | G4ThreeVector G4Sphere::GetPointOnSurface() const |
---|
3267 | { |
---|
3268 | G4double zRand, aOne, aTwo, aThr, aFou, aFiv, chose, phi, sinphi, cosphi; |
---|
3269 | G4double height1, height2, slant1, slant2, costheta, sintheta,theta,rRand; |
---|
3270 | |
---|
3271 | height1 = (fRmax-fRmin)*std::cos(fSTheta); |
---|
3272 | height2 = (fRmax-fRmin)*std::cos(fSTheta+fDTheta); |
---|
3273 | slant1 = std::sqrt(sqr((fRmax - fRmin)*std::sin(fSTheta)) |
---|
3274 | + height1*height1); |
---|
3275 | slant2 = std::sqrt(sqr((fRmax - fRmin)*std::sin(fSTheta+fDTheta)) |
---|
3276 | + height2*height2); |
---|
3277 | rRand = RandFlat::shoot(fRmin,fRmax); |
---|
3278 | |
---|
3279 | aOne = fRmax*fRmax*fDPhi*(std::cos(fSTheta)-std::cos(fSTheta+fDTheta)); |
---|
3280 | aTwo = fRmin*fRmin*fDPhi*(std::cos(fSTheta)-std::cos(fSTheta+fDTheta)); |
---|
3281 | aThr = fDPhi*((fRmax + fRmin)*std::sin(fSTheta))*slant1; |
---|
3282 | aFou = fDPhi*((fRmax + fRmin)*std::sin(fSTheta+fDTheta))*slant2; |
---|
3283 | aFiv = 0.5*fDTheta*(fRmax*fRmax-fRmin*fRmin); |
---|
3284 | |
---|
3285 | phi = RandFlat::shoot(fSPhi, fSPhi + fDPhi); |
---|
3286 | cosphi = std::cos(phi); |
---|
3287 | sinphi = std::sin(phi); |
---|
3288 | theta = RandFlat::shoot(fSTheta,fSTheta+fDTheta); |
---|
3289 | costheta = std::cos(theta); |
---|
3290 | sintheta = std::sqrt(1.-sqr(costheta)); |
---|
3291 | |
---|
3292 | if( ((fSPhi==0) && (fDPhi==2.*pi)) || (fDPhi==2.*pi) ) {aFiv = 0;} |
---|
3293 | if(fSTheta == 0) {aThr=0;} |
---|
3294 | if(fDTheta + fSTheta == pi) {aFou = 0;} |
---|
3295 | if(fSTheta == 0.5*pi) {aThr = pi*(fRmax*fRmax-fRmin*fRmin);} |
---|
3296 | if(fSTheta + fDTheta == 0.5*pi) { aFou = pi*(fRmax*fRmax-fRmin*fRmin);} |
---|
3297 | |
---|
3298 | chose = RandFlat::shoot(0.,aOne+aTwo+aThr+aFou+2.*aFiv); |
---|
3299 | if( (chose>=0.) && (chose<aOne) ) |
---|
3300 | { |
---|
3301 | return G4ThreeVector(fRmax*sintheta*cosphi, |
---|
3302 | fRmax*sintheta*sinphi, fRmax*costheta); |
---|
3303 | } |
---|
3304 | else if( (chose>=aOne) && (chose<aOne+aTwo) ) |
---|
3305 | { |
---|
3306 | return G4ThreeVector(fRmin*sintheta*cosphi, |
---|
3307 | fRmin*sintheta*sinphi, fRmin*costheta); |
---|
3308 | } |
---|
3309 | else if( (chose>=aOne+aTwo) && (chose<aOne+aTwo+aThr) ) |
---|
3310 | { |
---|
3311 | if (fSTheta != 0.5*pi) |
---|
3312 | { |
---|
3313 | zRand = RandFlat::shoot(fRmin*std::cos(fSTheta),fRmax*std::cos(fSTheta)); |
---|
3314 | return G4ThreeVector(std::tan(fSTheta)*zRand*cosphi, |
---|
3315 | std::tan(fSTheta)*zRand*sinphi,zRand); |
---|
3316 | } |
---|
3317 | else |
---|
3318 | { |
---|
3319 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
3320 | } |
---|
3321 | } |
---|
3322 | else if( (chose>=aOne+aTwo+aThr) && (chose<aOne+aTwo+aThr+aFou) ) |
---|
3323 | { |
---|
3324 | if(fSTheta + fDTheta != 0.5*pi) |
---|
3325 | { |
---|
3326 | zRand = RandFlat::shoot(fRmin*std::cos(fSTheta+fDTheta), |
---|
3327 | fRmax*std::cos(fSTheta+fDTheta)); |
---|
3328 | return G4ThreeVector (std::tan(fSTheta+fDTheta)*zRand*cosphi, |
---|
3329 | std::tan(fSTheta+fDTheta)*zRand*sinphi,zRand); |
---|
3330 | } |
---|
3331 | else |
---|
3332 | { |
---|
3333 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
3334 | } |
---|
3335 | } |
---|
3336 | else if( (chose>=aOne+aTwo+aThr+aFou) && (chose<aOne+aTwo+aThr+aFou+aFiv) ) |
---|
3337 | { |
---|
3338 | return G4ThreeVector(rRand*sintheta*std::cos(fSPhi), |
---|
3339 | rRand*sintheta*std::sin(fSPhi),rRand*costheta); |
---|
3340 | } |
---|
3341 | else |
---|
3342 | { |
---|
3343 | return G4ThreeVector(rRand*sintheta*std::cos(fSPhi+fDPhi), |
---|
3344 | rRand*sintheta*std::sin(fSPhi+fDPhi),rRand*costheta); |
---|
3345 | } |
---|
3346 | } |
---|
3347 | |
---|
3348 | ///////////////////////////////////////////////////////////////////////////// |
---|
3349 | // |
---|
3350 | // Methods for visualisation |
---|
3351 | |
---|
3352 | G4VisExtent G4Sphere::GetExtent() const |
---|
3353 | { |
---|
3354 | return G4VisExtent(-fRmax, fRmax,-fRmax, fRmax,-fRmax, fRmax ); |
---|
3355 | } |
---|
3356 | |
---|
3357 | |
---|
3358 | void G4Sphere::DescribeYourselfTo ( G4VGraphicsScene& scene ) const |
---|
3359 | { |
---|
3360 | scene.AddSolid (*this); |
---|
3361 | } |
---|
3362 | |
---|
3363 | G4Polyhedron* G4Sphere::CreatePolyhedron () const |
---|
3364 | { |
---|
3365 | return new G4PolyhedronSphere (fRmin, fRmax, fSPhi, fDPhi, fSTheta, fDTheta); |
---|
3366 | } |
---|
3367 | |
---|
3368 | G4NURBS* G4Sphere::CreateNURBS () const |
---|
3369 | { |
---|
3370 | return new G4NURBSbox (fRmax, fRmax, fRmax); // Box for now!!! |
---|
3371 | } |
---|