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 | // $Id: G4EllipticalCone.cc,v 1.16 2008/04/25 08:45:26 gcosmo Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-04-beta-01 $ |
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28 | // |
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29 | // Implementation of G4EllipticalCone class |
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30 | // |
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31 | // This code implements an Elliptical Cone given explicitly by the |
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32 | // equation: |
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33 | // x^2/a^2 + y^2/b^2 = (z-h)^2 |
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34 | // and specified by the parameters (a,b,h) and a cut parallel to the |
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35 | // xy plane above z = 0. |
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36 | // |
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37 | // Author: Dionysios Anninos |
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38 | // |
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39 | // -------------------------------------------------------------------- |
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40 | |
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41 | #include "globals.hh" |
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42 | |
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43 | #include "G4EllipticalCone.hh" |
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44 | |
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45 | #include "G4ClippablePolygon.hh" |
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46 | #include "G4SolidExtentList.hh" |
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47 | #include "G4VoxelLimits.hh" |
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48 | #include "G4AffineTransform.hh" |
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49 | #include "G4GeometryTolerance.hh" |
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50 | |
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51 | #include "meshdefs.hh" |
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52 | |
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53 | #include "Randomize.hh" |
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54 | |
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55 | #include "G4VGraphicsScene.hh" |
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56 | #include "G4Polyhedron.hh" |
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57 | #include "G4NURBS.hh" |
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58 | #include "G4NURBSbox.hh" |
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59 | #include "G4VisExtent.hh" |
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60 | |
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61 | //#define G4SPECSDEBUG 1 |
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62 | |
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63 | using namespace CLHEP; |
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64 | |
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65 | ////////////////////////////////////////////////////////////////////// |
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66 | // |
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67 | // Constructor - check parameters |
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68 | // |
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69 | G4EllipticalCone::G4EllipticalCone(const G4String& pName, |
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70 | G4double pxSemiAxis, |
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71 | G4double pySemiAxis, |
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72 | G4double pzMax, |
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73 | G4double pzTopCut) |
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74 | : G4VSolid(pName), fpPolyhedron(0), fCubicVolume(0.), fSurfaceArea(0.), |
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75 | zTopCut(0.) |
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76 | { |
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77 | |
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78 | kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance(); |
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79 | |
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80 | // Check Semi-Axis |
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81 | // |
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82 | if ( (pxSemiAxis > 0.) && (pySemiAxis > 0.) && (pzMax > 0.) ) |
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83 | { |
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84 | SetSemiAxis( pxSemiAxis, pySemiAxis, pzMax ); |
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85 | } |
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86 | else |
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87 | { |
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88 | G4cerr << "ERROR - G4EllipticalCone::G4EllipticalCone(): " |
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89 | << GetName() << G4endl |
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90 | << " Invalid semi-axis or height!" << G4endl; |
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91 | G4Exception("G4EllipticalCone::G4EllipticalCone()", "InvalidSetup", |
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92 | FatalException, "Invalid semi-axis or height."); |
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93 | } |
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94 | |
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95 | if ( pzTopCut > 0 ) |
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96 | { |
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97 | SetZCut(pzTopCut); |
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98 | } |
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99 | else |
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100 | { |
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101 | G4cerr << "ERROR - G4EllipticalCone::G4EllipticalCone(): " |
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102 | << GetName() << G4endl |
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103 | << " Invalid z-coordinate for cutting plane !" << G4endl; |
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104 | G4Exception("G4EllipticalCone::G4EllipticalCone()", "InvalidSetup", |
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105 | FatalException, "Invalid z-coordinate for cutting plane."); |
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106 | } |
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107 | } |
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108 | |
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109 | /////////////////////////////////////////////////////////////////////////////// |
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110 | // |
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111 | // Fake default constructor - sets only member data and allocates memory |
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112 | // for usage restricted to object persistency. |
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113 | // |
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114 | G4EllipticalCone::G4EllipticalCone( __void__& a ) |
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115 | : G4VSolid(a), fpPolyhedron(0), fCubicVolume(0.), fSurfaceArea(0.), |
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116 | zTopCut(0.) |
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117 | { |
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118 | } |
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119 | |
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120 | /////////////////////////////////////////////////////////////////////////////// |
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121 | // |
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122 | // Destructor |
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123 | // |
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124 | G4EllipticalCone::~G4EllipticalCone() |
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125 | { |
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126 | } |
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127 | |
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128 | /////////////////////////////////////////////////////////////////////////////// |
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129 | // |
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130 | // Calculate extent under transform and specified limit |
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131 | // |
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132 | G4bool |
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133 | G4EllipticalCone::CalculateExtent( const EAxis axis, |
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134 | const G4VoxelLimits &voxelLimit, |
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135 | const G4AffineTransform &transform, |
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136 | G4double &min, G4double &max ) const |
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137 | { |
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138 | G4SolidExtentList extentList( axis, voxelLimit ); |
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139 | |
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140 | // |
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141 | // We are going to divide up our elliptical face into small pieces |
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142 | // |
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143 | |
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144 | // |
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145 | // Choose phi size of our segment(s) based on constants as |
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146 | // defined in meshdefs.hh |
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147 | // |
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148 | G4int numPhi = kMaxMeshSections; |
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149 | G4double sigPhi = twopi/numPhi; |
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150 | |
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151 | // |
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152 | // We have to be careful to keep our segments completely outside |
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153 | // of the elliptical surface. To do so we imagine we have |
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154 | // a simple (unit radius) circular cross section (as in G4Tubs) |
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155 | // and then "stretch" the dimensions as necessary to fit the ellipse. |
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156 | // |
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157 | G4double rFudge = 1.0/std::cos(0.5*sigPhi); |
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158 | G4double dxFudgeBot = xSemiAxis*2.*zheight*rFudge, |
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159 | dyFudgeBot = ySemiAxis*2.*zheight*rFudge; |
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160 | G4double dxFudgeTop = xSemiAxis*(zheight-zTopCut)*rFudge, |
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161 | dyFudgeTop = ySemiAxis*(zheight-zTopCut)*rFudge; |
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162 | |
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163 | // |
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164 | // As we work around the elliptical surface, we build |
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165 | // a "phi" segment on the way, and keep track of two |
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166 | // additional polygons for the two ends. |
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167 | // |
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168 | G4ClippablePolygon endPoly1, endPoly2, phiPoly; |
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169 | |
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170 | G4double phi = 0, |
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171 | cosPhi = std::cos(phi), |
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172 | sinPhi = std::sin(phi); |
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173 | G4ThreeVector v0( dxFudgeTop*cosPhi, dyFudgeTop*sinPhi, +zTopCut ), |
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174 | v1( dxFudgeBot*cosPhi, dyFudgeBot*sinPhi, -zTopCut ), |
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175 | w0, w1; |
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176 | transform.ApplyPointTransform( v0 ); |
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177 | transform.ApplyPointTransform( v1 ); |
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178 | do |
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179 | { |
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180 | phi += sigPhi; |
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181 | if (numPhi == 1) phi = 0; // Try to avoid roundoff |
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182 | cosPhi = std::cos(phi), |
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183 | sinPhi = std::sin(phi); |
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184 | |
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185 | w0 = G4ThreeVector( dxFudgeTop*cosPhi, dyFudgeTop*sinPhi, +zTopCut ); |
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186 | w1 = G4ThreeVector( dxFudgeBot*cosPhi, dyFudgeBot*sinPhi, -zTopCut ); |
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187 | transform.ApplyPointTransform( w0 ); |
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188 | transform.ApplyPointTransform( w1 ); |
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189 | |
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190 | // |
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191 | // Add a point to our z ends |
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192 | // |
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193 | endPoly1.AddVertexInOrder( v0 ); |
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194 | endPoly2.AddVertexInOrder( v1 ); |
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195 | |
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196 | // |
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197 | // Build phi polygon |
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198 | // |
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199 | phiPoly.ClearAllVertices(); |
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200 | |
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201 | phiPoly.AddVertexInOrder( v0 ); |
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202 | phiPoly.AddVertexInOrder( v1 ); |
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203 | phiPoly.AddVertexInOrder( w1 ); |
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204 | phiPoly.AddVertexInOrder( w0 ); |
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205 | |
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206 | if (phiPoly.PartialClip( voxelLimit, axis )) |
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207 | { |
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208 | // |
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209 | // Get unit normal |
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210 | // |
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211 | phiPoly.SetNormal( (v1-v0).cross(w0-v0).unit() ); |
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212 | |
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213 | extentList.AddSurface( phiPoly ); |
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214 | } |
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215 | |
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216 | // |
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217 | // Next vertex |
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218 | // |
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219 | v0 = w0; |
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220 | v1 = w1; |
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221 | } while( --numPhi > 0 ); |
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222 | |
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223 | // |
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224 | // Process the end pieces |
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225 | // |
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226 | if (endPoly1.PartialClip( voxelLimit, axis )) |
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227 | { |
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228 | static const G4ThreeVector normal(0,0,+1); |
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229 | endPoly1.SetNormal( transform.TransformAxis(normal) ); |
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230 | extentList.AddSurface( endPoly1 ); |
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231 | } |
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232 | |
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233 | if (endPoly2.PartialClip( voxelLimit, axis )) |
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234 | { |
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235 | static const G4ThreeVector normal(0,0,-1); |
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236 | endPoly2.SetNormal( transform.TransformAxis(normal) ); |
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237 | extentList.AddSurface( endPoly2 ); |
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238 | } |
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239 | |
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240 | // |
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241 | // Return min/max value |
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242 | // |
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243 | return extentList.GetExtent( min, max ); |
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244 | } |
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245 | |
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246 | //////////////////////////////////////////////////////////////////////// |
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247 | // |
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248 | // Return whether point inside/outside/on surface |
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249 | // Split into radius, phi, theta checks |
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250 | // Each check modifies `in', or returns as approprate |
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251 | // |
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252 | EInside G4EllipticalCone::Inside(const G4ThreeVector& p) const |
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253 | { |
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254 | G4double rad2oo, // outside surface outer tolerance |
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255 | rad2oi; // outside surface inner tolerance |
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256 | |
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257 | EInside in; |
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258 | |
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259 | // check this side of z cut first, because that's fast |
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260 | // |
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261 | |
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262 | if ( (p.z() < -zTopCut - 0.5*kCarTolerance) |
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263 | || (p.z() > zTopCut + 0.5*kCarTolerance ) ) |
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264 | { |
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265 | return in = kOutside; |
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266 | } |
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267 | |
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268 | rad2oo= sqr(p.x()/( xSemiAxis + 0.5*kRadTolerance )) |
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269 | + sqr(p.y()/( ySemiAxis + 0.5*kRadTolerance )); |
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270 | |
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271 | if ( rad2oo > sqr( zheight-p.z() ) ) |
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272 | { |
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273 | return in = kOutside; |
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274 | } |
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275 | |
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276 | // rad2oi= sqr( p.x()*(1.0 + 0.5*kRadTolerance/(xSemiAxis*xSemiAxis)) ) |
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277 | // + sqr( p.y()*(1.0 + 0.5*kRadTolerance/(ySemiAxis*ySemiAxis)) ); |
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278 | rad2oi = sqr(p.x()/( xSemiAxis - 0.5*kRadTolerance )) |
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279 | + sqr(p.y()/( ySemiAxis - 0.5*kRadTolerance )); |
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280 | |
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281 | if (rad2oi < sqr( zheight-p.z() ) ) |
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282 | { |
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283 | in = ( ( p.z() < -zTopCut + 0.5*kRadTolerance ) |
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284 | || ( p.z() > zTopCut - 0.5*kRadTolerance ) ) ? kSurface : kInside; |
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285 | } |
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286 | else |
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287 | { |
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288 | in = kSurface; |
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289 | } |
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290 | |
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291 | return in; |
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292 | } |
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293 | |
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294 | ///////////////////////////////////////////////////////////////////////// |
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295 | // |
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296 | // Return unit normal of surface closest to p not protected against p=0 |
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297 | // |
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298 | G4ThreeVector G4EllipticalCone::SurfaceNormal( const G4ThreeVector& p) const |
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299 | { |
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300 | |
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301 | G4double rx = sqr(p.x()/xSemiAxis), |
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302 | ry = sqr(p.y()/ySemiAxis); |
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303 | |
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304 | G4double rad = std::sqrt(rx + ry); |
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305 | |
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306 | G4ThreeVector norm; |
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307 | |
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308 | if( (p.z() < -zTopCut) && ((rx+ry) < sqr(zTopCut + zheight)) ) |
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309 | { |
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310 | return G4ThreeVector( 0., 0., -1. ); |
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311 | } |
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312 | |
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313 | if( (p.z() > (zheight > zTopCut ? zheight : zTopCut)) && |
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314 | ((rx+ry) < sqr(zheight-zTopCut)) ) |
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315 | { |
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316 | return G4ThreeVector( 0., 0., 1. ); |
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317 | } |
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318 | |
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319 | if( p.z() > rad + 2.*zTopCut - zheight ) |
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320 | { |
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321 | if ( p.z() > zTopCut ) |
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322 | { |
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323 | if( p.x() == 0. ) |
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324 | { |
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325 | norm = G4ThreeVector( 0., p.y() < 0. ? -1. : 1., 1. ); |
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326 | return norm /= norm.mag(); |
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327 | } |
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328 | if( p.y() == 0. ) |
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329 | { |
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330 | norm = G4ThreeVector( p.x() < 0. ? -1. : 1., 0., 1. ); |
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331 | return norm /= norm.mag(); |
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332 | } |
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333 | |
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334 | G4double m = std::fabs(p.x()/p.y()); |
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335 | G4double c2 = sqr(zheight-zTopCut)/(1./sqr(xSemiAxis)+sqr(m/ySemiAxis)); |
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336 | G4double x = std::sqrt(c2); |
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337 | G4double y = m*x; |
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338 | |
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339 | x /= sqr(xSemiAxis); |
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340 | y /= sqr(ySemiAxis); |
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341 | |
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342 | norm = G4ThreeVector( p.x() < 0. ? -x : x, |
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343 | p.y() < 0. ? -y : y, |
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344 | zheight - zTopCut ); |
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345 | norm /= norm.mag(); |
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346 | norm += G4ThreeVector( 0., 0., 1. ); |
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347 | return norm /= norm.mag(); |
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348 | } |
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349 | |
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350 | return G4ThreeVector( 0., 0., 1. ); |
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351 | } |
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352 | |
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353 | if( p.z() < rad - 2.*zTopCut - zheight ) |
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354 | { |
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355 | if( p.x() == 0. ) |
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356 | { |
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357 | norm = G4ThreeVector( 0., p.y() < 0. ? -1. : 1., -1. ); |
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358 | return norm /= norm.mag(); |
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359 | } |
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360 | if( p.y() == 0. ) |
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361 | { |
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362 | norm = G4ThreeVector( p.x() < 0. ? -1. : 1., 0., -1. ); |
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363 | return norm /= norm.mag(); |
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364 | } |
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365 | |
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366 | G4double m = std::fabs(p.x()/p.y()); |
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367 | G4double c2 = sqr(zheight+zTopCut)/(1./sqr(xSemiAxis)+sqr(m/ySemiAxis)); |
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368 | G4double x = std::sqrt(c2); |
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369 | G4double y = m*x; |
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370 | |
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371 | x /= sqr(xSemiAxis); |
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372 | y /= sqr(ySemiAxis); |
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373 | |
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374 | norm = G4ThreeVector( p.x() < 0. ? -x : x, |
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375 | p.y() < 0. ? -y : y, |
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376 | zheight - zTopCut ); |
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377 | norm /= norm.mag(); |
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378 | norm += G4ThreeVector( 0., 0., -1. ); |
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379 | return norm /= norm.mag(); |
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380 | } |
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381 | |
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382 | norm = G4ThreeVector(p.x()/sqr(xSemiAxis), p.y()/sqr(ySemiAxis), rad); |
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383 | |
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384 | G4double m = std::tan(pi/8.); |
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385 | G4double c = -zTopCut - m*(zTopCut + zheight); |
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386 | |
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387 | if( p.z() < -m*rad + c ) |
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388 | return G4ThreeVector (0.,0.,-1.); |
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389 | |
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390 | return norm /= norm.mag(); |
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391 | } |
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392 | |
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393 | ////////////////////////////////////////////////////////////////////////// |
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394 | // |
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395 | // Calculate distance to shape from outside, along normalised vector |
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396 | // return kInfinity if no intersection, or intersection distance <= tolerance |
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397 | // |
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398 | G4double G4EllipticalCone::DistanceToIn( const G4ThreeVector& p, |
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399 | const G4ThreeVector& v ) const |
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400 | { |
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401 | |
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402 | static const G4double halfTol = 0.5*kCarTolerance; |
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403 | |
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404 | G4double distMin = kInfinity; |
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405 | |
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406 | // code from EllipticalTube |
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407 | |
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408 | G4double sigz = p.z()+zTopCut; |
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409 | |
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410 | // |
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411 | // Check z = -dz planer surface |
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412 | // |
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413 | |
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414 | if (sigz < halfTol) |
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415 | { |
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416 | // |
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417 | // We are "behind" the shape in z, and so can |
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418 | // potentially hit the rear face. Correct direction? |
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419 | // |
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420 | if (v.z() <= 0) |
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421 | { |
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422 | // |
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423 | // As long as we are far enough away, we know we |
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424 | // can't intersect |
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425 | // |
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426 | if (sigz < 0) return kInfinity; |
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427 | |
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428 | // |
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429 | // Otherwise, we don't intersect unless we are |
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430 | // on the surface of the ellipse |
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431 | // |
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432 | |
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433 | if ( sqr(p.x()/( xSemiAxis - halfTol )) |
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434 | + sqr(p.y()/( ySemiAxis - halfTol )) <= sqr( zheight+zTopCut ) ) |
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435 | return kInfinity; |
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436 | |
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437 | } |
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438 | else |
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439 | { |
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440 | // |
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441 | // How far? |
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442 | // |
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443 | G4double s = -sigz/v.z(); |
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444 | |
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445 | // |
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446 | // Where does that place us? |
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447 | // |
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448 | G4double xi = p.x() + s*v.x(), |
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449 | yi = p.y() + s*v.y(); |
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450 | |
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451 | // |
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452 | // Is this on the surface (within ellipse)? |
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453 | // |
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454 | if ( sqr(xi/xSemiAxis) + sqr(yi/ySemiAxis) <= sqr( zheight + zTopCut ) ) |
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455 | { |
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456 | // |
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457 | // Yup. Return s, unless we are on the surface |
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458 | // |
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459 | return (sigz < -halfTol) ? s : 0; |
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460 | } |
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461 | else if (xi/(xSemiAxis*xSemiAxis)*v.x() |
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462 | + yi/(ySemiAxis*ySemiAxis)*v.y() >= 0) |
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463 | { |
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464 | // |
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465 | // Else, if we are traveling outwards, we know |
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466 | // we must miss |
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467 | // |
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468 | // return kInfinity; |
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469 | } |
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470 | } |
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471 | } |
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472 | |
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473 | // |
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474 | // Check z = +dz planer surface |
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475 | // |
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476 | |
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477 | sigz = p.z() - zTopCut; |
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478 | |
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479 | if (sigz > -halfTol) |
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480 | { |
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481 | if (v.z() >= 0) |
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482 | { |
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483 | |
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484 | if (sigz > 0) return kInfinity; |
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485 | |
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486 | if ( sqr(p.x()/( xSemiAxis - halfTol )) |
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487 | + sqr(p.y()/( ySemiAxis - halfTol )) <= sqr( zheight-zTopCut ) ) |
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488 | return kInfinity; |
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489 | |
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490 | } |
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491 | else { |
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492 | G4double s = -sigz/v.z(); |
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493 | |
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494 | G4double xi = p.x() + s*v.x(), |
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495 | yi = p.y() + s*v.y(); |
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496 | |
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497 | if ( sqr(xi/xSemiAxis) + sqr(yi/ySemiAxis) <= sqr( zheight - zTopCut ) ) |
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498 | { |
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499 | return (sigz > -halfTol) ? s : 0; |
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500 | } |
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501 | else if (xi/(xSemiAxis*xSemiAxis)*v.x() |
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502 | + yi/(ySemiAxis*ySemiAxis)*v.y() >= 0) |
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503 | { |
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504 | // return kInfinity; |
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505 | } |
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506 | } |
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507 | } |
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508 | |
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509 | |
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510 | #if 0 |
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511 | |
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512 | // check to see if Z plane is relevant |
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513 | // |
---|
514 | if (p.z() < -zTopCut - 0.5*kCarTolerance) |
---|
515 | { |
---|
516 | if (v.z() <= 0.0) |
---|
517 | return distMin; |
---|
518 | |
---|
519 | G4double lambda = (-zTopCut - p.z())/v.z(); |
---|
520 | |
---|
521 | if ( sqr((lambda*v.x()+p.x())/xSemiAxis) + |
---|
522 | sqr((lambda*v.y()+p.y())/ySemiAxis) <= |
---|
523 | sqr(zTopCut + zheight + 0.5*kRadTolerance) ) |
---|
524 | { |
---|
525 | return distMin = std::fabs(lambda); |
---|
526 | } |
---|
527 | } |
---|
528 | |
---|
529 | if (p.z() > zTopCut+0.5*kCarTolerance) |
---|
530 | { |
---|
531 | if (v.z() >= 0.0) |
---|
532 | { return distMin; } |
---|
533 | |
---|
534 | G4double lambda = (zTopCut - p.z()) / v.z(); |
---|
535 | |
---|
536 | if ( sqr((lambda*v.x() + p.x())/xSemiAxis) + |
---|
537 | sqr((lambda*v.y() + p.y())/ySemiAxis) <= |
---|
538 | sqr(zheight - zTopCut + 0.5*kRadTolerance) ) |
---|
539 | { |
---|
540 | return distMin = std::fabs(lambda); |
---|
541 | } |
---|
542 | } |
---|
543 | |
---|
544 | if (p.z() > zTopCut - 0.5*kCarTolerance |
---|
545 | && p.z() < zTopCut + 0.5*kCarTolerance ) |
---|
546 | { |
---|
547 | if (v.z() > 0.) |
---|
548 | { return kInfinity; } |
---|
549 | |
---|
550 | return distMin = 0.; |
---|
551 | } |
---|
552 | |
---|
553 | if (p.z() < -zTopCut + 0.5*kCarTolerance |
---|
554 | && p.z() > -zTopCut - 0.5*kCarTolerance) |
---|
555 | { |
---|
556 | if (v.z() < 0.) |
---|
557 | { return distMin = kInfinity; } |
---|
558 | |
---|
559 | return distMin = 0.; |
---|
560 | } |
---|
561 | |
---|
562 | #endif |
---|
563 | |
---|
564 | // if we are here then it either intersects or grazes the curved surface |
---|
565 | // or it does not intersect at all |
---|
566 | // |
---|
567 | |
---|
568 | G4double A = sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) - sqr(v.z()); |
---|
569 | G4double B = 2*(v.x()*p.x()/sqr(xSemiAxis) + |
---|
570 | v.y()*p.y()/sqr(ySemiAxis) + v.z()*(zheight-p.z())); |
---|
571 | G4double C = sqr(p.x()/xSemiAxis) + sqr(p.y()/ySemiAxis) - |
---|
572 | sqr(zheight - p.z()); |
---|
573 | |
---|
574 | G4double discr = B*B - 4.*A*C; |
---|
575 | |
---|
576 | // if the discriminant is negative it never hits the curved object |
---|
577 | // |
---|
578 | if ( discr < -0.5*kCarTolerance ) |
---|
579 | { return distMin; } |
---|
580 | |
---|
581 | //case below is when it hits or grazes the surface |
---|
582 | // |
---|
583 | if ( (discr >= - 0.5*kCarTolerance ) && (discr < 0.5*kCarTolerance ) ) |
---|
584 | { |
---|
585 | return distMin = std::fabs(-B/(2.*A)); |
---|
586 | } |
---|
587 | |
---|
588 | G4double plus = (-B+std::sqrt(discr))/(2.*A); |
---|
589 | G4double minus = (-B-std::sqrt(discr))/(2.*A); |
---|
590 | // G4double lambda = std::fabs(plus) < std::fabs(minus) ? plus : minus; |
---|
591 | |
---|
592 | G4double lambda = 0; |
---|
593 | |
---|
594 | if ( minus > halfTol && minus < distMin ) |
---|
595 | { |
---|
596 | lambda = minus ; |
---|
597 | // check normal vector n * v < 0 |
---|
598 | G4ThreeVector pin = p + lambda*v; |
---|
599 | |
---|
600 | G4ThreeVector truenorm(pin.x()/(xSemiAxis*xSemiAxis), |
---|
601 | pin.y()/(ySemiAxis*ySemiAxis), |
---|
602 | - ( pin.z() - zheight )); |
---|
603 | if ( truenorm*v < 0) |
---|
604 | { // yes, going inside the solid |
---|
605 | distMin = lambda; |
---|
606 | } |
---|
607 | } |
---|
608 | |
---|
609 | if ( plus > halfTol && plus < distMin ) |
---|
610 | { |
---|
611 | lambda = plus ; |
---|
612 | // check normal vector n * v < 0 |
---|
613 | G4ThreeVector pin = p + lambda*v; |
---|
614 | |
---|
615 | G4ThreeVector truenorm(pin.x()/(xSemiAxis*xSemiAxis), |
---|
616 | pin.y()/(ySemiAxis*ySemiAxis), |
---|
617 | - ( pin.z() - zheight ) ); |
---|
618 | if ( truenorm*v < 0) |
---|
619 | { // yes, going inside the solid |
---|
620 | distMin = lambda; |
---|
621 | } |
---|
622 | } |
---|
623 | |
---|
624 | #ifdef G4SPECSDEBUG |
---|
625 | // G4cout << "DToIn: plus,minus, lambda = " << plus |
---|
626 | // << ", " << minus << ", " << lambda << G4endl ; |
---|
627 | // G4cout << "DToIn: distMin = " << distMin << G4endl ; |
---|
628 | #endif |
---|
629 | |
---|
630 | |
---|
631 | return distMin ; |
---|
632 | } |
---|
633 | |
---|
634 | ////////////////////////////////////////////////////////////////////////// |
---|
635 | // |
---|
636 | // Calculate distance (<= actual) to closest surface of shape from outside |
---|
637 | // Return 0 if point inside |
---|
638 | // |
---|
639 | G4double G4EllipticalCone::DistanceToIn(const G4ThreeVector& p) const |
---|
640 | { |
---|
641 | G4double distR, distR2, distZ, maxDim; |
---|
642 | G4double distRad; |
---|
643 | |
---|
644 | // check if the point lies either below z=-zTopCut in bottom elliptical |
---|
645 | // region or on top within cut elliptical region |
---|
646 | // |
---|
647 | if( (p.z() <= -zTopCut) && (sqr(p.x()/xSemiAxis) + sqr(p.y()/ySemiAxis) |
---|
648 | <= sqr(zTopCut + zheight + 0.5*kCarTolerance )) ) |
---|
649 | { |
---|
650 | //return distZ = std::fabs(zTopCut - p.z()); |
---|
651 | return distZ = std::fabs(zTopCut + p.z()); |
---|
652 | } |
---|
653 | |
---|
654 | if( (p.z() >= zTopCut) && (sqr(p.x()/xSemiAxis)+sqr(p.y()/ySemiAxis) |
---|
655 | <= sqr(zheight - zTopCut + kCarTolerance/2.0 )) ) |
---|
656 | { |
---|
657 | return distZ = std::fabs(p.z() - zTopCut); |
---|
658 | } |
---|
659 | |
---|
660 | // below we use the following approximation: we take the largest of the |
---|
661 | // axes and find the shortest distance to the circular (cut) cone of that |
---|
662 | // radius. |
---|
663 | // |
---|
664 | maxDim = xSemiAxis >= ySemiAxis ? xSemiAxis:ySemiAxis; |
---|
665 | distRad = std::sqrt(p.x()*p.x()+p.y()*p.y()); |
---|
666 | |
---|
667 | if( p.z() > maxDim*distRad + zTopCut*(1.+maxDim)-sqr(maxDim)*zheight ) |
---|
668 | { |
---|
669 | distR2 = sqr(p.z() - zTopCut) + sqr(distRad - maxDim*(zheight - zTopCut)); |
---|
670 | return std::sqrt( distR2 ); |
---|
671 | } |
---|
672 | |
---|
673 | if( distRad > maxDim*( zheight - p.z() ) ) |
---|
674 | { |
---|
675 | if( p.z() > maxDim*distRad - (zTopCut*(1.+maxDim)+sqr(maxDim)*zheight) ) |
---|
676 | { |
---|
677 | G4double zVal = (p.z()-maxDim*(distRad-maxDim*zheight))/(1.+sqr(maxDim)); |
---|
678 | G4double rVal = maxDim*(zheight - zVal); |
---|
679 | return distR = std::sqrt(sqr(p.z() - zVal) + sqr(distRad - rVal)); |
---|
680 | } |
---|
681 | } |
---|
682 | |
---|
683 | if( distRad <= maxDim*(zheight - p.z()) ) |
---|
684 | { |
---|
685 | distR2 = sqr(distRad - maxDim*(zheight + zTopCut)) + sqr(p.z() + zTopCut); |
---|
686 | return std::sqrt( distR2 ); |
---|
687 | } |
---|
688 | |
---|
689 | return distR = 0; |
---|
690 | } |
---|
691 | |
---|
692 | ///////////////////////////////////////////////////////////////////////// |
---|
693 | // |
---|
694 | // Calculate distance to surface of shape from `inside', |
---|
695 | // allowing for tolerance |
---|
696 | // |
---|
697 | G4double G4EllipticalCone::DistanceToOut(const G4ThreeVector& p, |
---|
698 | const G4ThreeVector& v, |
---|
699 | const G4bool calcNorm, |
---|
700 | G4bool *validNorm, |
---|
701 | G4ThreeVector *n ) const |
---|
702 | { |
---|
703 | G4double distMin, lambda; |
---|
704 | enum surface_e {kPlaneSurf, kCurvedSurf, kNoSurf} surface; |
---|
705 | |
---|
706 | distMin = kInfinity; |
---|
707 | surface = kNoSurf; |
---|
708 | |
---|
709 | if (v.z() < 0.0) |
---|
710 | { |
---|
711 | lambda = (-p.z() - zTopCut)/v.z(); |
---|
712 | |
---|
713 | if ( (sqr((p.x() + lambda*v.x())/xSemiAxis) + |
---|
714 | sqr((p.y() + lambda*v.y())/ySemiAxis)) < |
---|
715 | sqr(zheight + zTopCut + 0.5*kCarTolerance) ) |
---|
716 | { |
---|
717 | distMin = std::fabs(lambda); |
---|
718 | |
---|
719 | if (!calcNorm) { return distMin; } |
---|
720 | } |
---|
721 | distMin = std::fabs(lambda); |
---|
722 | surface = kPlaneSurf; |
---|
723 | } |
---|
724 | |
---|
725 | if (v.z() > 0.0) |
---|
726 | { |
---|
727 | lambda = (zTopCut - p.z()) / v.z(); |
---|
728 | |
---|
729 | if ( (sqr((p.x() + lambda*v.x())/xSemiAxis) |
---|
730 | + sqr((p.y() + lambda*v.y())/ySemiAxis) ) |
---|
731 | < (sqr(zheight - zTopCut + 0.5*kCarTolerance)) ) |
---|
732 | { |
---|
733 | distMin = std::fabs(lambda); |
---|
734 | if (!calcNorm) { return distMin; } |
---|
735 | } |
---|
736 | distMin = std::fabs(lambda); |
---|
737 | surface = kPlaneSurf; |
---|
738 | } |
---|
739 | |
---|
740 | // if we are here then it either intersects or grazes the |
---|
741 | // curved surface... |
---|
742 | // |
---|
743 | G4double A = sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) - sqr(v.z()); |
---|
744 | G4double B = 2.*(v.x()*p.x()/sqr(xSemiAxis) + |
---|
745 | v.y()*p.y()/sqr(ySemiAxis) + v.z()*(zheight-p.z())); |
---|
746 | G4double C = sqr(p.x()/xSemiAxis) + sqr(p.y()/ySemiAxis) |
---|
747 | - sqr(zheight - p.z()); |
---|
748 | |
---|
749 | G4double discr = B*B - 4.*A*C; |
---|
750 | |
---|
751 | if ( discr >= - 0.5*kCarTolerance && discr < 0.5*kCarTolerance ) |
---|
752 | { |
---|
753 | if(!calcNorm) { return distMin = std::fabs(-B/(2.*A)); } |
---|
754 | } |
---|
755 | |
---|
756 | else if ( discr > 0.5*kCarTolerance ) |
---|
757 | { |
---|
758 | G4double plus = (-B+std::sqrt(discr))/(2.*A); |
---|
759 | G4double minus = (-B-std::sqrt(discr))/(2.*A); |
---|
760 | |
---|
761 | if ( plus > 0.5*kCarTolerance && minus > 0.5*kCarTolerance ) |
---|
762 | { |
---|
763 | // take the shorter distance |
---|
764 | // |
---|
765 | lambda = std::fabs(plus) < std::fabs(minus) ? plus : minus; |
---|
766 | } |
---|
767 | else |
---|
768 | { |
---|
769 | // at least one solution is close to zero or negative |
---|
770 | // so, take small positive solution or zero |
---|
771 | // |
---|
772 | lambda = plus > -0.5*kCarTolerance ? plus : 0; |
---|
773 | } |
---|
774 | |
---|
775 | if ( std::fabs(lambda) < distMin ) |
---|
776 | { |
---|
777 | distMin = std::fabs(lambda); |
---|
778 | surface = kCurvedSurf; |
---|
779 | } |
---|
780 | } |
---|
781 | |
---|
782 | // set normal if requested |
---|
783 | // |
---|
784 | if (calcNorm) |
---|
785 | { |
---|
786 | if (surface == kNoSurf) |
---|
787 | { |
---|
788 | *validNorm = false; |
---|
789 | } |
---|
790 | else |
---|
791 | { |
---|
792 | *validNorm = true; |
---|
793 | switch (surface) |
---|
794 | { |
---|
795 | case kPlaneSurf: |
---|
796 | { |
---|
797 | *n = G4ThreeVector(0.,0.,(v.z() > 0.0 ? 1. : -1.)); |
---|
798 | } |
---|
799 | break; |
---|
800 | |
---|
801 | case kCurvedSurf: |
---|
802 | { |
---|
803 | G4ThreeVector pexit = p + distMin*v; |
---|
804 | G4ThreeVector truenorm(pexit.x()/(xSemiAxis*xSemiAxis), |
---|
805 | pexit.y()/(ySemiAxis*ySemiAxis), |
---|
806 | pexit.z() - zheight ); |
---|
807 | truenorm /= truenorm.mag(); |
---|
808 | *n= truenorm; |
---|
809 | } |
---|
810 | break; |
---|
811 | |
---|
812 | default: |
---|
813 | G4cout.precision(16); |
---|
814 | G4cout << G4endl; |
---|
815 | DumpInfo(); |
---|
816 | G4cout << "Position:" << G4endl << G4endl; |
---|
817 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
818 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
819 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
820 | G4cout << "Direction:" << G4endl << G4endl; |
---|
821 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
822 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
823 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
824 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
825 | G4cout << "distMin = " << distMin/mm << " mm" << G4endl << G4endl; |
---|
826 | G4Exception("G4EllipticalCone::DistanceToOut(p,v,..)", |
---|
827 | "Notification", JustWarning, |
---|
828 | "Undefined side for valid surface normal to solid."); |
---|
829 | break; |
---|
830 | } |
---|
831 | } |
---|
832 | } |
---|
833 | |
---|
834 | return distMin; |
---|
835 | } |
---|
836 | |
---|
837 | ///////////////////////////////////////////////////////////////////////// |
---|
838 | // |
---|
839 | // Calculate distance (<=actual) to closest surface of shape from inside |
---|
840 | // |
---|
841 | G4double G4EllipticalCone::DistanceToOut(const G4ThreeVector& p) const |
---|
842 | { |
---|
843 | G4double rad,roo,roo1, distR, distZ, distMin=0.; |
---|
844 | G4double minAxis = xSemiAxis < ySemiAxis ? xSemiAxis : ySemiAxis; |
---|
845 | |
---|
846 | #ifdef G4SPECSDEBUG |
---|
847 | if( Inside(p) == kOutside ) |
---|
848 | { |
---|
849 | G4cout.precision(16) ; |
---|
850 | G4cout << G4endl ; |
---|
851 | DumpInfo(); |
---|
852 | G4cout << "Position:" << G4endl << G4endl ; |
---|
853 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ; |
---|
854 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ; |
---|
855 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ; |
---|
856 | G4Exception("G4Ellipsoid::DistanceToOut(p)", "Notification", JustWarning, |
---|
857 | "Point p is outside !?" ); |
---|
858 | } |
---|
859 | #endif |
---|
860 | |
---|
861 | // since we have made the above warning, below we are working assuming p |
---|
862 | // is inside check how close it is to the circular cone with radius equal |
---|
863 | // to the smaller of the axes |
---|
864 | // |
---|
865 | if( sqr(p.x()/minAxis)+sqr(p.y()/minAxis) < sqr(zheight - p.z()) ) |
---|
866 | { |
---|
867 | rad = std::sqrt(sqr(p.x()) + sqr(p.y())); |
---|
868 | roo = minAxis*(zheight-p.z()); // radius of cone at z= p.z() |
---|
869 | roo1 = minAxis*(zheight-zTopCut); // radius of cone at z=+zTopCut |
---|
870 | |
---|
871 | distZ=zTopCut - std::fabs(p.z()) ; |
---|
872 | distR=(roo-rad)/(std::sqrt(1+sqr(minAxis))); |
---|
873 | |
---|
874 | if(rad>roo1) |
---|
875 | { |
---|
876 | distMin=(zTopCut-p.z())*(roo-rad)/(roo-roo1); |
---|
877 | distMin=std::min(distMin,distR); |
---|
878 | } |
---|
879 | distMin=std::min(distR,distZ); |
---|
880 | } |
---|
881 | |
---|
882 | return distMin; |
---|
883 | } |
---|
884 | |
---|
885 | ////////////////////////////////////////////////////////////////////////// |
---|
886 | // |
---|
887 | // GetEntityType |
---|
888 | // |
---|
889 | G4GeometryType G4EllipticalCone::GetEntityType() const |
---|
890 | { |
---|
891 | return G4String("G4EllipticalCone"); |
---|
892 | } |
---|
893 | |
---|
894 | ////////////////////////////////////////////////////////////////////////// |
---|
895 | // |
---|
896 | // Stream object contents to an output stream |
---|
897 | // |
---|
898 | std::ostream& G4EllipticalCone::StreamInfo( std::ostream& os ) const |
---|
899 | { |
---|
900 | os << "-----------------------------------------------------------\n" |
---|
901 | << " *** Dump for solid - " << GetName() << " ***\n" |
---|
902 | << " ===================================================\n" |
---|
903 | << " Solid type: G4EllipticalCone\n" |
---|
904 | << " Parameters: \n" |
---|
905 | |
---|
906 | << " semi-axis x: " << xSemiAxis/mm << " mm \n" |
---|
907 | << " semi-axis y: " << ySemiAxis/mm << " mm \n" |
---|
908 | << " height z: " << zheight/mm << " mm \n" |
---|
909 | << " half length in z: " << zTopCut/mm << " mm \n" |
---|
910 | << "-----------------------------------------------------------\n"; |
---|
911 | |
---|
912 | return os; |
---|
913 | } |
---|
914 | |
---|
915 | ///////////////////////////////////////////////////////////////////////// |
---|
916 | // |
---|
917 | // GetPointOnSurface |
---|
918 | // |
---|
919 | // returns quasi-uniformly distributed point on surface of elliptical cone |
---|
920 | // |
---|
921 | G4ThreeVector G4EllipticalCone::GetPointOnSurface() const |
---|
922 | { |
---|
923 | |
---|
924 | G4double phi, sinphi, cosphi, aOne, aTwo, aThree, |
---|
925 | chose, zRand, rRand1, rRand2; |
---|
926 | |
---|
927 | G4double rOne = std::sqrt(sqr(xSemiAxis) |
---|
928 | + sqr(ySemiAxis))*(zheight - zTopCut); |
---|
929 | G4double rTwo = std::sqrt(sqr(xSemiAxis) |
---|
930 | + sqr(ySemiAxis))*(zheight + zTopCut); |
---|
931 | |
---|
932 | aOne = pi*(rOne + rTwo)*std::sqrt(sqr(rOne - rTwo)+sqr(2.*zTopCut)); |
---|
933 | aTwo = pi*xSemiAxis*ySemiAxis*sqr(zheight+zTopCut); |
---|
934 | aThree = pi*xSemiAxis*ySemiAxis*sqr(zheight-zTopCut); |
---|
935 | |
---|
936 | phi = RandFlat::shoot(0.,twopi); |
---|
937 | cosphi = std::cos(phi); |
---|
938 | sinphi = std::sin(phi); |
---|
939 | |
---|
940 | if(zTopCut >= zheight) aThree = 0.; |
---|
941 | |
---|
942 | chose = RandFlat::shoot(0.,aOne+aTwo+aThree); |
---|
943 | if((chose>=0.) && (chose<aOne)) |
---|
944 | { |
---|
945 | zRand = RandFlat::shoot(-zTopCut,zTopCut); |
---|
946 | return G4ThreeVector(xSemiAxis*(zheight-zRand)*cosphi, |
---|
947 | ySemiAxis*(zheight-zRand)*sinphi,zRand); |
---|
948 | } |
---|
949 | else if((chose>=aOne) && (chose<aOne+aTwo)) |
---|
950 | { |
---|
951 | do |
---|
952 | { |
---|
953 | rRand1 = RandFlat::shoot(0.,1.) ; |
---|
954 | rRand2 = RandFlat::shoot(0.,1.) ; |
---|
955 | } while ( rRand2 >= rRand1 ) ; |
---|
956 | |
---|
957 | // rRand2 = RandFlat::shoot(0.,std::sqrt(1.-sqr(rRand1))); |
---|
958 | return G4ThreeVector(rRand1*xSemiAxis*(zheight+zTopCut)*cosphi, |
---|
959 | rRand1*ySemiAxis*(zheight+zTopCut)*sinphi, -zTopCut); |
---|
960 | |
---|
961 | } |
---|
962 | // else |
---|
963 | // |
---|
964 | |
---|
965 | do |
---|
966 | { |
---|
967 | rRand1 = RandFlat::shoot(0.,1.) ; |
---|
968 | rRand2 = RandFlat::shoot(0.,1.) ; |
---|
969 | } while ( rRand2 >= rRand1 ) ; |
---|
970 | |
---|
971 | return G4ThreeVector(rRand1*xSemiAxis*(zheight-zTopCut)*cosphi, |
---|
972 | rRand1*ySemiAxis*(zheight-zTopCut)*sinphi, zTopCut); |
---|
973 | } |
---|
974 | |
---|
975 | // |
---|
976 | // Methods for visualisation |
---|
977 | // |
---|
978 | |
---|
979 | void G4EllipticalCone::DescribeYourselfTo (G4VGraphicsScene& scene) const |
---|
980 | { |
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981 | scene.AddSolid(*this); |
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982 | } |
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983 | |
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984 | G4VisExtent G4EllipticalCone::GetExtent() const |
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985 | { |
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986 | // Define the sides of the box into which the solid instance would fit. |
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987 | // |
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988 | G4double maxDim; |
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989 | maxDim = xSemiAxis > ySemiAxis ? xSemiAxis : ySemiAxis; |
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990 | maxDim = maxDim > zTopCut ? maxDim : zTopCut; |
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991 | |
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992 | return G4VisExtent (-maxDim, maxDim, |
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993 | -maxDim, maxDim, |
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994 | -maxDim, maxDim); |
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995 | } |
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996 | |
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997 | G4NURBS* G4EllipticalCone::CreateNURBS () const |
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998 | { |
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999 | // Box for now!!! |
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1000 | // |
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1001 | return new G4NURBSbox(xSemiAxis, ySemiAxis,zheight); |
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1002 | } |
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1003 | |
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1004 | G4Polyhedron* G4EllipticalCone::CreatePolyhedron () const |
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1005 | { |
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1006 | return new G4PolyhedronEllipticalCone(xSemiAxis, ySemiAxis, zheight, zTopCut); |
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1007 | } |
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1008 | |
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1009 | G4Polyhedron* G4EllipticalCone::GetPolyhedron () const |
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1010 | { |
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1011 | if ( (!fpPolyhedron) |
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1012 | || (fpPolyhedron->GetNumberOfRotationStepsAtTimeOfCreation() != |
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1013 | fpPolyhedron->GetNumberOfRotationSteps()) ) |
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1014 | { |
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1015 | delete fpPolyhedron; |
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1016 | fpPolyhedron = CreatePolyhedron(); |
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1017 | } |
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1018 | return fpPolyhedron; |
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1019 | } |
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