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: G4TwistTubsHypeSide.cc,v 1.6 2007/05/18 07:39:56 gcosmo Exp $ |
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28 | // GEANT4 tag $Name: HEAD $ |
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29 | // |
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30 | // |
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31 | // -------------------------------------------------------------------- |
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32 | // GEANT 4 class source file |
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33 | // |
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34 | // |
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35 | // G4TwistTubsHypeSide.cc |
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36 | // |
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37 | // Author: |
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38 | // 01-Aug-2002 - Kotoyo Hoshina (hoshina@hepburn.s.chiba-u.ac.jp) |
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39 | // |
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40 | // History: |
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41 | // 13-Nov-2003 - O.Link (Oliver.Link@cern.ch), Integration in Geant4 |
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42 | // from original version in Jupiter-2.5.02 application. |
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43 | // -------------------------------------------------------------------- |
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44 | |
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45 | #include "G4TwistTubsHypeSide.hh" |
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46 | #include "G4GeometryTolerance.hh" |
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47 | |
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48 | //===================================================================== |
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49 | //* constructors ------------------------------------------------------ |
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50 | |
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51 | G4TwistTubsHypeSide::G4TwistTubsHypeSide(const G4String &name, |
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52 | const G4RotationMatrix &rot, |
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53 | const G4ThreeVector &tlate, |
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54 | const G4int handedness, |
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55 | const G4double kappa, |
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56 | const G4double tanstereo, |
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57 | const G4double r0, |
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58 | const EAxis axis0, |
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59 | const EAxis axis1, |
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60 | G4double axis0min, |
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61 | G4double axis1min, |
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62 | G4double axis0max, |
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63 | G4double axis1max ) |
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64 | : G4VTwistSurface(name, rot, tlate, handedness, axis0, axis1, |
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65 | axis0min, axis1min, axis0max, axis1max), |
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66 | fKappa(kappa), fTanStereo(tanstereo), |
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67 | fTan2Stereo(tanstereo*tanstereo), fR0(r0), fR02(r0*r0) |
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68 | { |
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69 | if (axis0 == kZAxis && axis1 == kPhi) { |
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70 | G4Exception("G4TwistTubsHypeSide::G4TwistTubsHypeSide()", "InvalidSetup", |
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71 | FatalException, "Should swap axis0 and axis1!"); |
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72 | } |
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73 | |
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74 | fInside.gp.set(kInfinity, kInfinity, kInfinity); |
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75 | fInside.inside = kOutside; |
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76 | fIsValidNorm = false; |
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77 | |
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78 | SetCorners(); |
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79 | SetBoundaries(); |
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80 | |
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81 | } |
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82 | |
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83 | G4TwistTubsHypeSide::G4TwistTubsHypeSide(const G4String &name, |
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84 | G4double EndInnerRadius[2], |
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85 | G4double EndOuterRadius[2], |
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86 | G4double DPhi, |
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87 | G4double EndPhi[2], |
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88 | G4double EndZ[2], |
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89 | G4double InnerRadius, |
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90 | G4double OuterRadius, |
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91 | G4double Kappa, |
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92 | G4double TanInnerStereo, |
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93 | G4double TanOuterStereo, |
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94 | G4int handedness) |
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95 | : G4VTwistSurface(name) |
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96 | { |
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97 | |
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98 | fHandedness = handedness; // +z = +ve, -z = -ve |
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99 | fAxis[0] = kPhi; |
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100 | fAxis[1] = kZAxis; |
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101 | fAxisMin[0] = kInfinity; // we cannot fix boundary min of Phi, |
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102 | fAxisMax[0] = kInfinity; // because it depends on z. |
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103 | fAxisMin[1] = EndZ[0]; |
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104 | fAxisMax[1] = EndZ[1]; |
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105 | fKappa = Kappa; |
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106 | fDPhi = DPhi ; |
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107 | |
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108 | if (handedness < 0) { // inner hyperbolic surface |
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109 | fTanStereo = TanInnerStereo; |
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110 | fR0 = InnerRadius; |
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111 | } else { // outer hyperbolic surface |
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112 | fTanStereo = TanOuterStereo; |
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113 | fR0 = OuterRadius; |
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114 | } |
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115 | fTan2Stereo = fTanStereo * fTanStereo; |
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116 | fR02 = fR0 * fR0; |
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117 | |
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118 | fTrans.set(0, 0, 0); |
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119 | fIsValidNorm = false; |
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120 | |
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121 | fInside.gp.set(kInfinity, kInfinity, kInfinity); |
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122 | fInside.inside = kOutside; |
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123 | |
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124 | SetCorners(EndInnerRadius, EndOuterRadius, DPhi, EndPhi, EndZ) ; |
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125 | |
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126 | SetBoundaries(); |
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127 | } |
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128 | |
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129 | //===================================================================== |
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130 | //* Fake default constructor ------------------------------------------ |
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131 | |
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132 | G4TwistTubsHypeSide::G4TwistTubsHypeSide( __void__& a ) |
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133 | : G4VTwistSurface(a) |
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134 | { |
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135 | } |
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136 | |
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137 | //===================================================================== |
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138 | //* destructor -------------------------------------------------------- |
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139 | |
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140 | G4TwistTubsHypeSide::~G4TwistTubsHypeSide() |
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141 | { |
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142 | } |
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143 | |
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144 | //===================================================================== |
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145 | //* GetNormal --------------------------------------------------------- |
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146 | |
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147 | G4ThreeVector G4TwistTubsHypeSide::GetNormal(const G4ThreeVector &tmpxx, |
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148 | G4bool isGlobal) |
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149 | { |
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150 | // GetNormal returns a normal vector at a surface (or very close |
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151 | // to surface) point at tmpxx. |
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152 | // If isGlobal=true, it returns the normal in global coordinate. |
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153 | // |
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154 | |
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155 | G4ThreeVector xx; |
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156 | if (isGlobal) { |
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157 | xx = ComputeLocalPoint(tmpxx); |
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158 | if ((xx - fCurrentNormal.p).mag() < 0.5 * kCarTolerance) { |
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159 | return ComputeGlobalDirection(fCurrentNormal.normal); |
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160 | } |
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161 | } else { |
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162 | xx = tmpxx; |
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163 | if (xx == fCurrentNormal.p) { |
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164 | return fCurrentNormal.normal; |
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165 | } |
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166 | } |
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167 | |
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168 | fCurrentNormal.p = xx; |
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169 | |
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170 | G4ThreeVector normal( xx.x(), xx.y(), -xx.z() * fTan2Stereo); |
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171 | normal *= fHandedness; |
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172 | normal = normal.unit(); |
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173 | |
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174 | if (isGlobal) { |
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175 | fCurrentNormal.normal = ComputeLocalDirection(normal); |
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176 | } else { |
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177 | fCurrentNormal.normal = normal; |
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178 | } |
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179 | return fCurrentNormal.normal; |
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180 | } |
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181 | |
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182 | //===================================================================== |
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183 | //* Inside() ---------------------------------------------------------- |
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184 | |
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185 | EInside G4TwistTubsHypeSide::Inside(const G4ThreeVector &gp) |
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186 | { |
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187 | // Inside returns |
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188 | static const G4double halftol |
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189 | = 0.5 * G4GeometryTolerance::GetInstance()->GetRadialTolerance(); |
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190 | |
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191 | if (fInside.gp == gp) { |
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192 | return fInside.inside; |
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193 | } |
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194 | fInside.gp = gp; |
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195 | |
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196 | G4ThreeVector p = ComputeLocalPoint(gp); |
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197 | |
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198 | |
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199 | if (p.mag() < DBL_MIN) { |
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200 | fInside.inside = kOutside; |
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201 | return fInside.inside; |
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202 | } |
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203 | |
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204 | G4double rhohype = GetRhoAtPZ(p); |
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205 | G4double distanceToOut = fHandedness * (rhohype - p.getRho()); |
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206 | // +ve : inside |
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207 | |
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208 | if (distanceToOut < -halftol) { |
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209 | |
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210 | fInside.inside = kOutside; |
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211 | |
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212 | } else { |
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213 | |
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214 | G4int areacode = GetAreaCode(p); |
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215 | if (IsOutside(areacode)) { |
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216 | fInside.inside = kOutside; |
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217 | } else if (IsBoundary(areacode)) { |
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218 | fInside.inside = kSurface; |
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219 | } else if (IsInside(areacode)) { |
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220 | if (distanceToOut <= halftol) { |
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221 | fInside.inside = kSurface; |
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222 | } else { |
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223 | fInside.inside = kInside; |
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224 | } |
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225 | } else { |
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226 | G4cout << "WARNING - G4TwistTubsHypeSide::Inside()" << G4endl |
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227 | << " Invalid option !" << G4endl |
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228 | << " name, areacode, distanceToOut = " |
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229 | << GetName() << ", " << std::hex << areacode << std::dec << ", " |
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230 | << distanceToOut << G4endl; |
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231 | } |
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232 | } |
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233 | |
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234 | return fInside.inside; |
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235 | } |
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236 | |
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237 | //===================================================================== |
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238 | //* DistanceToSurface ------------------------------------------------- |
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239 | |
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240 | G4int G4TwistTubsHypeSide::DistanceToSurface(const G4ThreeVector &gp, |
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241 | const G4ThreeVector &gv, |
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242 | G4ThreeVector gxx[], |
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243 | G4double distance[], |
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244 | G4int areacode[], |
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245 | G4bool isvalid[], |
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246 | EValidate validate) |
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247 | { |
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248 | // |
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249 | // Decide if and where a line intersects with a hyperbolic |
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250 | // surface (of infinite extent) |
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251 | // |
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252 | // Arguments: |
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253 | // p - (in) Point on trajectory |
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254 | // v - (in) Vector along trajectory |
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255 | // r2 - (in) Square of radius at z = 0 |
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256 | // tan2phi - (in) std::tan(stereo)**2 |
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257 | // s - (out) Up to two points of intersection, where the |
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258 | // intersection point is p + s*v, and if there are |
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259 | // two intersections, s[0] < s[1]. May be negative. |
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260 | // Returns: |
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261 | // The number of intersections. If 0, the trajectory misses. |
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262 | // |
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263 | // |
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264 | // Equation of a line: |
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265 | // |
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266 | // x = x0 + s*tx y = y0 + s*ty z = z0 + s*tz |
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267 | // |
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268 | // Equation of a hyperbolic surface: |
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269 | // |
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270 | // x**2 + y**2 = r**2 + (z*tanPhi)**2 |
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271 | // |
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272 | // Solution is quadratic: |
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273 | // |
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274 | // a*s**2 + b*s + c = 0 |
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275 | // |
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276 | // where: |
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277 | // |
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278 | // a = tx**2 + ty**2 - (tz*tanPhi)**2 |
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279 | // |
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280 | // b = 2*( x0*tx + y0*ty - z0*tz*tanPhi**2 ) |
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281 | // |
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282 | // c = x0**2 + y0**2 - r**2 - (z0*tanPhi)**2 |
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283 | // |
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284 | |
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285 | fCurStatWithV.ResetfDone(validate, &gp, &gv); |
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286 | |
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287 | if (fCurStatWithV.IsDone()) { |
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288 | G4int i; |
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289 | for (i=0; i<fCurStatWithV.GetNXX(); i++) { |
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290 | gxx[i] = fCurStatWithV.GetXX(i); |
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291 | distance[i] = fCurStatWithV.GetDistance(i); |
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292 | areacode[i] = fCurStatWithV.GetAreacode(i); |
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293 | isvalid[i] = fCurStatWithV.IsValid(i); |
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294 | } |
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295 | return fCurStatWithV.GetNXX(); |
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296 | } else { |
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297 | // initialize |
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298 | G4int i; |
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299 | for (i=0; i<2; i++) { |
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300 | distance[i] = kInfinity; |
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301 | areacode[i] = sOutside; |
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302 | isvalid[i] = false; |
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303 | gxx[i].set(kInfinity, kInfinity, kInfinity); |
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304 | } |
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305 | } |
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306 | |
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307 | G4ThreeVector p = ComputeLocalPoint(gp); |
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308 | G4ThreeVector v = ComputeLocalDirection(gv); |
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309 | G4ThreeVector xx[2]; |
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310 | |
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311 | // |
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312 | // special case! p is on origin. |
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313 | // |
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314 | |
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315 | if (p.mag() == 0) { |
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316 | // p is origin. |
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317 | // unique solution of 2-dimension question in r-z plane |
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318 | // Equations: |
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319 | // r^2 = fR02 + z^2*fTan2Stere0 |
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320 | // r = beta*z |
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321 | // where |
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322 | // beta = vrho / vz |
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323 | // Solution (z value of intersection point): |
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324 | // xxz = +- std::sqrt (fR02 / (beta^2 - fTan2Stereo)) |
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325 | // |
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326 | |
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327 | G4double vz = v.z(); |
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328 | G4double absvz = std::abs(vz); |
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329 | G4double vrho = v.getRho(); |
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330 | G4double vslope = vrho/vz; |
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331 | G4double vslope2 = vslope * vslope; |
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332 | if (vrho == 0 || (vrho/absvz) <= (absvz*std::fabs(fTanStereo)/absvz)) { |
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333 | // vz/vrho is bigger than slope of asymptonic line |
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334 | distance[0] = kInfinity; |
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335 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
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336 | isvalid[0], 0, validate, &gp, &gv); |
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337 | return 0; |
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338 | } |
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339 | |
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340 | if (vz) { |
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341 | G4double xxz = std::sqrt(fR02 / (vslope2 - fTan2Stereo)) |
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342 | * (vz / std::fabs(vz)) ; |
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343 | G4double t = xxz / vz; |
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344 | xx[0].set(t*v.x(), t*v.y(), xxz); |
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345 | } else { |
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346 | // p.z = 0 && v.z =0 |
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347 | xx[0].set(v.x()*fR0, v.y()*fR0, 0); // v is a unit vector. |
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348 | } |
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349 | distance[0] = xx[0].mag(); |
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350 | gxx[0] = ComputeGlobalPoint(xx[0]); |
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351 | |
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352 | if (validate == kValidateWithTol) { |
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353 | areacode[0] = GetAreaCode(xx[0]); |
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354 | if (!IsOutside(areacode[0])) { |
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355 | if (distance[0] >= 0) isvalid[0] = true; |
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356 | } |
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357 | } else if (validate == kValidateWithoutTol) { |
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358 | areacode[0] = GetAreaCode(xx[0], false); |
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359 | if (IsInside(areacode[0])) { |
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360 | if (distance[0] >= 0) isvalid[0] = true; |
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361 | } |
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362 | } else { // kDontValidate |
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363 | areacode[0] = sInside; |
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364 | if (distance[0] >= 0) isvalid[0] = true; |
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365 | } |
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366 | |
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367 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
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368 | isvalid[0], 1, validate, &gp, &gv); |
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369 | return 1; |
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370 | } |
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371 | |
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372 | // |
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373 | // special case end. |
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374 | // |
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375 | |
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376 | G4double a = v.x()*v.x() + v.y()*v.y() - v.z()*v.z()*fTan2Stereo; |
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377 | G4double b = 2.0 * ( p.x() * v.x() + p.y() * v.y() - p.z() * v.z() * fTan2Stereo ); |
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378 | G4double c = p.x()*p.x() + p.y()*p.y() - fR02 - p.z()*p.z()*fTan2Stereo; |
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379 | G4double D = b*b - 4*a*c; //discriminant |
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380 | |
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381 | if (std::fabs(a) < DBL_MIN) { |
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382 | if (std::fabs(b) > DBL_MIN) { // single solution |
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383 | |
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384 | distance[0] = -c/b; |
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385 | xx[0] = p + distance[0]*v; |
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386 | gxx[0] = ComputeGlobalPoint(xx[0]); |
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387 | |
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388 | if (validate == kValidateWithTol) { |
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389 | areacode[0] = GetAreaCode(xx[0]); |
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390 | if (!IsOutside(areacode[0])) { |
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391 | if (distance[0] >= 0) isvalid[0] = true; |
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392 | } |
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393 | } else if (validate == kValidateWithoutTol) { |
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394 | areacode[0] = GetAreaCode(xx[0], false); |
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395 | if (IsInside(areacode[0])) { |
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396 | if (distance[0] >= 0) isvalid[0] = true; |
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397 | } |
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398 | } else { // kDontValidate |
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399 | areacode[0] = sInside; |
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400 | if (distance[0] >= 0) isvalid[0] = true; |
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401 | } |
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402 | |
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403 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
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404 | isvalid[0], 1, validate, &gp, &gv); |
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405 | return 1; |
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406 | |
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407 | } else { |
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408 | // if a=b=0 and c != 0, p is origin and v is parallel to asymptotic line. |
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409 | // if a=b=c=0, p is on surface and v is paralell to stereo wire. |
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410 | // return distance = infinity. |
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411 | |
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412 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
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413 | isvalid[0], 0, validate, &gp, &gv); |
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414 | |
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415 | return 0; |
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416 | } |
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417 | |
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418 | } else if (D > DBL_MIN) { // double solutions |
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419 | |
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420 | D = std::sqrt(D); |
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421 | G4double factor = 0.5/a; |
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422 | G4double tmpdist[2] = {kInfinity, kInfinity}; |
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423 | G4ThreeVector tmpxx[2] ; |
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424 | G4int tmpareacode[2] = {sOutside, sOutside}; |
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425 | G4bool tmpisvalid[2] = {false, false}; |
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426 | G4int i; |
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427 | |
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428 | for (i=0; i<2; i++) { |
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429 | tmpdist[i] = factor*(-b - D); |
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430 | D = -D; |
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431 | tmpxx[i] = p + tmpdist[i]*v; |
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432 | |
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433 | if (validate == kValidateWithTol) { |
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434 | tmpareacode[i] = GetAreaCode(tmpxx[i]); |
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435 | if (!IsOutside(tmpareacode[i])) { |
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436 | if (tmpdist[i] >= 0) tmpisvalid[i] = true; |
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437 | continue; |
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438 | } |
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439 | } else if (validate == kValidateWithoutTol) { |
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440 | tmpareacode[i] = GetAreaCode(tmpxx[i], false); |
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441 | if (IsInside(tmpareacode[i])) { |
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442 | if (tmpdist[i] >= 0) tmpisvalid[i] = true; |
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443 | continue; |
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444 | } |
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445 | } else { // kDontValidate |
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446 | tmpareacode[i] = sInside; |
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447 | if (tmpdist[i] >= 0) tmpisvalid[i] = true; |
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448 | continue; |
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449 | } |
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450 | } |
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451 | |
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452 | if (tmpdist[0] <= tmpdist[1]) { |
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453 | distance[0] = tmpdist[0]; |
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454 | distance[1] = tmpdist[1]; |
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455 | xx[0] = tmpxx[0]; |
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456 | xx[1] = tmpxx[1]; |
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457 | gxx[0] = ComputeGlobalPoint(tmpxx[0]); |
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458 | gxx[1] = ComputeGlobalPoint(tmpxx[1]); |
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459 | areacode[0] = tmpareacode[0]; |
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460 | areacode[1] = tmpareacode[1]; |
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461 | isvalid[0] = tmpisvalid[0]; |
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462 | isvalid[1] = tmpisvalid[1]; |
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463 | } else { |
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464 | distance[0] = tmpdist[1]; |
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465 | distance[1] = tmpdist[0]; |
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466 | xx[0] = tmpxx[1]; |
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467 | xx[1] = tmpxx[0]; |
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468 | gxx[0] = ComputeGlobalPoint(tmpxx[1]); |
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469 | gxx[1] = ComputeGlobalPoint(tmpxx[0]); |
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470 | areacode[0] = tmpareacode[1]; |
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471 | areacode[1] = tmpareacode[0]; |
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472 | isvalid[0] = tmpisvalid[1]; |
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473 | isvalid[1] = tmpisvalid[0]; |
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474 | } |
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475 | |
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476 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
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477 | isvalid[0], 2, validate, &gp, &gv); |
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478 | fCurStatWithV.SetCurrentStatus(1, gxx[1], distance[1], areacode[1], |
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479 | isvalid[1], 2, validate, &gp, &gv); |
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480 | return 2; |
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481 | |
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482 | } else { |
---|
483 | // if D<0, no solution |
---|
484 | // if D=0, just grazing the surfaces, return kInfinity |
---|
485 | |
---|
486 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
---|
487 | isvalid[0], 0, validate, &gp, &gv); |
---|
488 | return 0; |
---|
489 | } |
---|
490 | G4Exception("G4TwistTubsHypeSide::DistanceToSurface(p,v)", |
---|
491 | "InvalidCondition", FatalException, "Illegal operation !"); |
---|
492 | return 1; |
---|
493 | } |
---|
494 | |
---|
495 | |
---|
496 | //===================================================================== |
---|
497 | //* DistanceToSurface ------------------------------------------------- |
---|
498 | |
---|
499 | G4int G4TwistTubsHypeSide::DistanceToSurface(const G4ThreeVector &gp, |
---|
500 | G4ThreeVector gxx[], |
---|
501 | G4double distance[], |
---|
502 | G4int areacode[]) |
---|
503 | { |
---|
504 | // Find the approximate distance of a point of a hyperbolic surface. |
---|
505 | // The distance must be an underestimate. |
---|
506 | // It will also be nice (although not necessary) that the estimate is |
---|
507 | // always finite no matter how close the point is. |
---|
508 | // |
---|
509 | // We arranged G4Hype::ApproxDistOutside and G4Hype::ApproxDistInside |
---|
510 | // for this function. See these discriptions. |
---|
511 | |
---|
512 | static const G4double halftol |
---|
513 | = 0.5 * G4GeometryTolerance::GetInstance()->GetRadialTolerance(); |
---|
514 | |
---|
515 | fCurStat.ResetfDone(kDontValidate, &gp); |
---|
516 | |
---|
517 | if (fCurStat.IsDone()) { |
---|
518 | for (G4int i=0; i<fCurStat.GetNXX(); i++) { |
---|
519 | gxx[i] = fCurStat.GetXX(i); |
---|
520 | distance[i] = fCurStat.GetDistance(i); |
---|
521 | areacode[i] = fCurStat.GetAreacode(i); |
---|
522 | } |
---|
523 | return fCurStat.GetNXX(); |
---|
524 | } else { |
---|
525 | // initialize |
---|
526 | for (G4int i=0; i<2; i++) { |
---|
527 | distance[i] = kInfinity; |
---|
528 | areacode[i] = sOutside; |
---|
529 | gxx[i].set(kInfinity, kInfinity, kInfinity); |
---|
530 | } |
---|
531 | } |
---|
532 | |
---|
533 | |
---|
534 | G4ThreeVector p = ComputeLocalPoint(gp); |
---|
535 | G4ThreeVector xx; |
---|
536 | |
---|
537 | // |
---|
538 | // special case! |
---|
539 | // If p is on surface, return distance = 0 immediatery . |
---|
540 | // |
---|
541 | G4ThreeVector lastgxx[2]; |
---|
542 | G4double distfromlast[2]; |
---|
543 | for (G4int i=0; i<2; i++) { |
---|
544 | lastgxx[i] = fCurStatWithV.GetXX(i); |
---|
545 | distfromlast[i] = (gp - lastgxx[i]).mag(); |
---|
546 | } |
---|
547 | |
---|
548 | if ((gp - lastgxx[0]).mag() < halftol || (gp - lastgxx[1]).mag() < halftol) { |
---|
549 | // last winner, or last poststep point is on the surface. |
---|
550 | xx = p; |
---|
551 | gxx[0] = gp; |
---|
552 | distance[0] = 0; |
---|
553 | |
---|
554 | G4bool isvalid = true; |
---|
555 | fCurStat.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
---|
556 | isvalid, 1, kDontValidate, &gp); |
---|
557 | |
---|
558 | return 1; |
---|
559 | |
---|
560 | } |
---|
561 | // |
---|
562 | // special case end |
---|
563 | // |
---|
564 | |
---|
565 | G4double prho = p.getRho(); |
---|
566 | G4double pz = std::fabs(p.z()); // use symmetry |
---|
567 | G4double r1 = std::sqrt(fR02 + pz * pz * fTan2Stereo); |
---|
568 | |
---|
569 | G4ThreeVector pabsz(p.x(), p.y(), pz); |
---|
570 | |
---|
571 | if (prho > r1 + halftol) { // p is outside of Hyperbolic surface |
---|
572 | |
---|
573 | // First point xx1 |
---|
574 | G4double t = r1 / prho; |
---|
575 | G4ThreeVector xx1(t * pabsz.x(), t * pabsz.y() , pz); |
---|
576 | |
---|
577 | // Second point xx2 |
---|
578 | G4double z2 = (prho * fTanStereo + pz) / (1 + fTan2Stereo); |
---|
579 | G4double r2 = std::sqrt(fR02 + z2 * z2 * fTan2Stereo); |
---|
580 | t = r2 / prho; |
---|
581 | G4ThreeVector xx2(t * pabsz.x(), t * pabsz.y() , z2); |
---|
582 | |
---|
583 | G4double len = (xx2 - xx1).mag(); |
---|
584 | if (len < DBL_MIN) { |
---|
585 | // xx2 = xx1?? I guess we |
---|
586 | // must have really bracketed the normal |
---|
587 | distance[0] = (pabsz - xx1).mag(); |
---|
588 | xx = xx1; |
---|
589 | } else { |
---|
590 | distance[0] = DistanceToLine(pabsz, xx1, (xx2 - xx1) , xx); |
---|
591 | } |
---|
592 | |
---|
593 | } else if (prho < r1 - halftol) { // p is inside of Hyperbolic surface. |
---|
594 | |
---|
595 | // First point xx1 |
---|
596 | G4double t; |
---|
597 | G4ThreeVector xx1; |
---|
598 | if (prho < DBL_MIN) { |
---|
599 | xx1.set(r1, 0. , pz); |
---|
600 | } else { |
---|
601 | t = r1 / prho; |
---|
602 | xx1.set(t * pabsz.x(), t * pabsz.y() , pz); |
---|
603 | } |
---|
604 | |
---|
605 | // dr, dz is tangential vector of Hyparbolic surface at xx1 |
---|
606 | // dr = r, dz = z*tan2stereo |
---|
607 | G4double dr = pz * fTan2Stereo; |
---|
608 | G4double dz = r1; |
---|
609 | G4double tanbeta = dr / dz; |
---|
610 | G4double pztanbeta = pz * tanbeta; |
---|
611 | |
---|
612 | // Second point xx2 |
---|
613 | // xx2 is intersection between x-axis and tangential vector |
---|
614 | G4double r2 = r1 - pztanbeta; |
---|
615 | G4ThreeVector xx2; |
---|
616 | if (prho < DBL_MIN) { |
---|
617 | xx2.set(r2, 0. , 0.); |
---|
618 | } else { |
---|
619 | t = r2 / prho; |
---|
620 | xx2.set(t * pabsz.x(), t * pabsz.y() , 0.); |
---|
621 | } |
---|
622 | |
---|
623 | G4ThreeVector d = xx2 - xx1; |
---|
624 | distance[0] = DistanceToLine(pabsz, xx1, d, xx); |
---|
625 | |
---|
626 | } else { // p is on Hyperbolic surface. |
---|
627 | |
---|
628 | distance[0] = 0; |
---|
629 | xx.set(p.x(), p.y(), pz); |
---|
630 | |
---|
631 | } |
---|
632 | |
---|
633 | if (p.z() < 0) { |
---|
634 | G4ThreeVector tmpxx(xx.x(), xx.y(), -xx.z()); |
---|
635 | xx = tmpxx; |
---|
636 | } |
---|
637 | |
---|
638 | gxx[0] = ComputeGlobalPoint(xx); |
---|
639 | areacode[0] = sInside; |
---|
640 | G4bool isvalid = true; |
---|
641 | fCurStat.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
---|
642 | isvalid, 1, kDontValidate, &gp); |
---|
643 | return 1; |
---|
644 | } |
---|
645 | |
---|
646 | //===================================================================== |
---|
647 | //* GetAreaCode ------------------------------------------------------- |
---|
648 | |
---|
649 | G4int G4TwistTubsHypeSide::GetAreaCode(const G4ThreeVector &xx, |
---|
650 | G4bool withTol) |
---|
651 | { |
---|
652 | static const G4double ctol = 0.5 * kCarTolerance; |
---|
653 | G4int areacode = sInside; |
---|
654 | |
---|
655 | if ((fAxis[0] == kPhi && fAxis[1] == kZAxis)) { |
---|
656 | //G4int phiaxis = 0; |
---|
657 | G4int zaxis = 1; |
---|
658 | |
---|
659 | if (withTol) { |
---|
660 | |
---|
661 | G4bool isoutside = false; |
---|
662 | G4int phiareacode = GetAreaCodeInPhi(xx); |
---|
663 | G4bool isoutsideinphi = IsOutside(phiareacode); |
---|
664 | |
---|
665 | // test boundary of phiaxis |
---|
666 | |
---|
667 | if ((phiareacode & sAxisMin) == sAxisMin) { |
---|
668 | |
---|
669 | areacode |= (sAxis0 & (sAxisPhi | sAxisMin)) | sBoundary; |
---|
670 | if (isoutsideinphi) isoutside = true; |
---|
671 | |
---|
672 | } else if ((phiareacode & sAxisMax) == sAxisMax) { |
---|
673 | |
---|
674 | areacode |= (sAxis0 & (sAxisPhi | sAxisMax)) | sBoundary; |
---|
675 | if (isoutsideinphi) isoutside = true; |
---|
676 | |
---|
677 | } |
---|
678 | |
---|
679 | // test boundary of zaxis |
---|
680 | |
---|
681 | if (xx.z() < fAxisMin[zaxis] + ctol) { |
---|
682 | |
---|
683 | areacode |= (sAxis1 & (sAxisZ | sAxisMin)); |
---|
684 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
685 | else areacode |= sBoundary; |
---|
686 | |
---|
687 | if (xx.z() <= fAxisMin[zaxis] - ctol) isoutside = true; |
---|
688 | |
---|
689 | } else if (xx.z() > fAxisMax[zaxis] - ctol) { |
---|
690 | |
---|
691 | areacode |= (sAxis1 & (sAxisZ | sAxisMax)); |
---|
692 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
693 | else areacode |= sBoundary; |
---|
694 | |
---|
695 | if (xx.z() >= fAxisMax[zaxis] + ctol) isoutside = true; |
---|
696 | } |
---|
697 | |
---|
698 | // if isoutside = true, clear sInside bit. |
---|
699 | // if not on boundary, add boundary information. |
---|
700 | |
---|
701 | if (isoutside) { |
---|
702 | G4int tmpareacode = areacode & (~sInside); |
---|
703 | areacode = tmpareacode; |
---|
704 | } else if ((areacode & sBoundary) != sBoundary) { |
---|
705 | areacode |= (sAxis0 & sAxisPhi) | (sAxis1 & sAxisZ); |
---|
706 | } |
---|
707 | |
---|
708 | return areacode; |
---|
709 | |
---|
710 | } else { |
---|
711 | |
---|
712 | G4int phiareacode = GetAreaCodeInPhi(xx, false); |
---|
713 | |
---|
714 | // test boundary of z-axis |
---|
715 | |
---|
716 | if (xx.z() < fAxisMin[zaxis]) { |
---|
717 | |
---|
718 | areacode |= (sAxis1 & (sAxisZ | sAxisMin)) | sBoundary; |
---|
719 | |
---|
720 | } else if (xx.z() > fAxisMax[zaxis]) { |
---|
721 | |
---|
722 | areacode |= (sAxis1 & (sAxisZ | sAxisMax)) | sBoundary; |
---|
723 | |
---|
724 | } |
---|
725 | |
---|
726 | // boundary of phi-axis |
---|
727 | |
---|
728 | if (phiareacode == sAxisMin) { |
---|
729 | |
---|
730 | areacode |= (sAxis0 & (sAxisPhi | sAxisMin)); |
---|
731 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
732 | else areacode |= sBoundary; |
---|
733 | |
---|
734 | } else if (phiareacode == sAxisMax) { |
---|
735 | |
---|
736 | areacode |= (sAxis0 & (sAxisPhi | sAxisMax)); |
---|
737 | if (areacode & sBoundary) areacode |= sCorner; // xx is on the corner. |
---|
738 | else areacode |= sBoundary; |
---|
739 | |
---|
740 | } |
---|
741 | |
---|
742 | // if not on boundary, add boundary information. |
---|
743 | |
---|
744 | if ((areacode & sBoundary) != sBoundary) { |
---|
745 | areacode |= (sAxis0 & sAxisPhi) | (sAxis1 & sAxisZ); |
---|
746 | } |
---|
747 | return areacode; |
---|
748 | } |
---|
749 | } else { |
---|
750 | G4cerr << "ERROR - G4TwistTubsHypeSide::GetAreaCode()" << G4endl |
---|
751 | << " fAxis[0] = " << fAxis[0] << G4endl |
---|
752 | << " fAxis[1] = " << fAxis[1] << G4endl; |
---|
753 | G4Exception("G4TwistTubsHypeSide::GetAreaCode()", |
---|
754 | "NotImplemented", FatalException, |
---|
755 | "Feature NOT implemented !"); |
---|
756 | } |
---|
757 | return areacode; |
---|
758 | } |
---|
759 | |
---|
760 | //===================================================================== |
---|
761 | //* GetAreaCodeInPhi -------------------------------------------------- |
---|
762 | |
---|
763 | G4int G4TwistTubsHypeSide::GetAreaCodeInPhi(const G4ThreeVector &xx, |
---|
764 | G4bool withTol) |
---|
765 | { |
---|
766 | |
---|
767 | G4ThreeVector lowerlimit; // lower phi-boundary limit at z = xx.z() |
---|
768 | G4ThreeVector upperlimit; // upper phi-boundary limit at z = xx.z() |
---|
769 | lowerlimit = GetBoundaryAtPZ(sAxis0 & sAxisMin, xx); |
---|
770 | upperlimit = GetBoundaryAtPZ(sAxis0 & sAxisMax, xx); |
---|
771 | |
---|
772 | G4int areacode = sInside; |
---|
773 | G4bool isoutside = false; |
---|
774 | |
---|
775 | if (withTol) { |
---|
776 | |
---|
777 | if (AmIOnLeftSide(xx, lowerlimit) >= 0) { // xx is on lowerlimit |
---|
778 | areacode |= (sAxisMin | sBoundary); |
---|
779 | if (AmIOnLeftSide(xx, lowerlimit) > 0) isoutside = true; |
---|
780 | |
---|
781 | } else if (AmIOnLeftSide(xx, upperlimit) <= 0) { // xx is on upperlimit |
---|
782 | areacode |= (sAxisMax | sBoundary); |
---|
783 | if (AmIOnLeftSide(xx, upperlimit) < 0) isoutside = true; |
---|
784 | } |
---|
785 | |
---|
786 | // if isoutside = true, clear inside bit. |
---|
787 | |
---|
788 | if (isoutside) { |
---|
789 | G4int tmpareacode = areacode & (~sInside); |
---|
790 | areacode = tmpareacode; |
---|
791 | } |
---|
792 | |
---|
793 | |
---|
794 | } else { |
---|
795 | |
---|
796 | if (AmIOnLeftSide(xx, lowerlimit, false) >= 0) { |
---|
797 | areacode |= (sAxisMin | sBoundary); |
---|
798 | } else if (AmIOnLeftSide(xx, upperlimit, false) <= 0) { |
---|
799 | areacode |= (sAxisMax | sBoundary); |
---|
800 | } |
---|
801 | } |
---|
802 | |
---|
803 | return areacode; |
---|
804 | |
---|
805 | } |
---|
806 | |
---|
807 | //===================================================================== |
---|
808 | //* SetCorners(EndInnerRadius, EndOuterRadius,DPhi,EndPhi,EndZ) ------- |
---|
809 | |
---|
810 | void G4TwistTubsHypeSide::SetCorners( |
---|
811 | G4double EndInnerRadius[2], |
---|
812 | G4double EndOuterRadius[2], |
---|
813 | G4double DPhi, |
---|
814 | G4double endPhi[2], |
---|
815 | G4double endZ[2] |
---|
816 | ) |
---|
817 | { |
---|
818 | // Set Corner points in local coodinate. |
---|
819 | |
---|
820 | if (fAxis[0] == kPhi && fAxis[1] == kZAxis) { |
---|
821 | |
---|
822 | G4int i; |
---|
823 | G4double endRad[2]; |
---|
824 | G4double halfdphi = 0.5*DPhi; |
---|
825 | |
---|
826 | for (i=0; i<2; i++) { // i=0,1 : -ve z, +ve z |
---|
827 | endRad[i] = (fHandedness == 1 ? EndOuterRadius[i] |
---|
828 | : EndInnerRadius[i]); |
---|
829 | } |
---|
830 | |
---|
831 | G4int zmin = 0 ; // at -ve z |
---|
832 | G4int zmax = 1 ; // at +ve z |
---|
833 | |
---|
834 | G4double x, y, z; |
---|
835 | |
---|
836 | // corner of Axis0min and Axis1min |
---|
837 | x = endRad[zmin]*std::cos(endPhi[zmin] - halfdphi); |
---|
838 | y = endRad[zmin]*std::sin(endPhi[zmin] - halfdphi); |
---|
839 | z = endZ[zmin]; |
---|
840 | SetCorner(sC0Min1Min, x, y, z); |
---|
841 | |
---|
842 | // corner of Axis0max and Axis1min |
---|
843 | x = endRad[zmin]*std::cos(endPhi[zmin] + halfdphi); |
---|
844 | y = endRad[zmin]*std::sin(endPhi[zmin] + halfdphi); |
---|
845 | z = endZ[zmin]; |
---|
846 | SetCorner(sC0Max1Min, x, y, z); |
---|
847 | |
---|
848 | // corner of Axis0max and Axis1max |
---|
849 | x = endRad[zmax]*std::cos(endPhi[zmax] + halfdphi); |
---|
850 | y = endRad[zmax]*std::sin(endPhi[zmax] + halfdphi); |
---|
851 | z = endZ[zmax]; |
---|
852 | SetCorner(sC0Max1Max, x, y, z); |
---|
853 | |
---|
854 | // corner of Axis0min and Axis1max |
---|
855 | x = endRad[zmax]*std::cos(endPhi[zmax] - halfdphi); |
---|
856 | y = endRad[zmax]*std::sin(endPhi[zmax] - halfdphi); |
---|
857 | z = endZ[zmax]; |
---|
858 | SetCorner(sC0Min1Max, x, y, z); |
---|
859 | |
---|
860 | } else { |
---|
861 | G4cerr << "ERROR - G4TwistTubsFlatSide::SetCorners()" << G4endl |
---|
862 | << " fAxis[0] = " << fAxis[0] << G4endl |
---|
863 | << " fAxis[1] = " << fAxis[1] << G4endl; |
---|
864 | G4Exception("G4TwistTubsHypeSide::SetCorners()", |
---|
865 | "NotImplemented", FatalException, |
---|
866 | "Feature NOT implemented !"); |
---|
867 | } |
---|
868 | } |
---|
869 | |
---|
870 | |
---|
871 | //===================================================================== |
---|
872 | //* SetCorners() ------------------------------------------------------ |
---|
873 | |
---|
874 | void G4TwistTubsHypeSide::SetCorners() |
---|
875 | { |
---|
876 | G4Exception("G4TwistTubsHypeSide::SetCorners()", |
---|
877 | "NotImplemented", FatalException, |
---|
878 | "Method NOT implemented !"); |
---|
879 | } |
---|
880 | |
---|
881 | //===================================================================== |
---|
882 | //* SetBoundaries() --------------------------------------------------- |
---|
883 | |
---|
884 | void G4TwistTubsHypeSide::SetBoundaries() |
---|
885 | { |
---|
886 | // Set direction-unit vector of phi-boundary-lines in local coodinate. |
---|
887 | // sAxis0 must be kPhi. |
---|
888 | // This fanction set lower phi-boundary and upper phi-boundary. |
---|
889 | |
---|
890 | if (fAxis[0] == kPhi && fAxis[1] == kZAxis) { |
---|
891 | |
---|
892 | G4ThreeVector direction; |
---|
893 | // sAxis0 & sAxisMin |
---|
894 | direction = GetCorner(sC0Min1Max) - GetCorner(sC0Min1Min); |
---|
895 | direction = direction.unit(); |
---|
896 | SetBoundary(sAxis0 & (sAxisPhi | sAxisMin), direction, |
---|
897 | GetCorner(sC0Min1Min), sAxisZ); |
---|
898 | |
---|
899 | // sAxis0 & sAxisMax |
---|
900 | direction = GetCorner(sC0Max1Max) - GetCorner(sC0Max1Min); |
---|
901 | direction = direction.unit(); |
---|
902 | SetBoundary(sAxis0 & (sAxisPhi | sAxisMax), direction, |
---|
903 | GetCorner(sC0Max1Min), sAxisZ); |
---|
904 | |
---|
905 | // sAxis1 & sAxisMin |
---|
906 | direction = GetCorner(sC0Max1Min) - GetCorner(sC0Min1Min); |
---|
907 | direction = direction.unit(); |
---|
908 | SetBoundary(sAxis1 & (sAxisZ | sAxisMin), direction, |
---|
909 | GetCorner(sC0Min1Min), sAxisPhi); |
---|
910 | |
---|
911 | // sAxis1 & sAxisMax |
---|
912 | direction = GetCorner(sC0Max1Max) - GetCorner(sC0Min1Max); |
---|
913 | direction = direction.unit(); |
---|
914 | SetBoundary(sAxis1 & (sAxisZ | sAxisMax), direction, |
---|
915 | GetCorner(sC0Min1Max), sAxisPhi); |
---|
916 | } else { |
---|
917 | G4cerr << "ERROR - G4TwistTubsHypeSide::SetBoundaries()" << G4endl |
---|
918 | << " fAxis[0] = " << fAxis[0] << G4endl |
---|
919 | << " fAxis[1] = " << fAxis[1] << G4endl; |
---|
920 | G4Exception("G4TwistTubsHypeSide::SetBoundaries()", |
---|
921 | "NotImplemented", FatalException, |
---|
922 | "Feature NOT implemented !"); |
---|
923 | } |
---|
924 | } |
---|
925 | |
---|
926 | //===================================================================== |
---|
927 | //* GetFacets() ------------------------------------------------------- |
---|
928 | |
---|
929 | void G4TwistTubsHypeSide::GetFacets( G4int m, G4int n, G4double xyz[][3], |
---|
930 | G4int faces[][4], G4int iside ) |
---|
931 | { |
---|
932 | |
---|
933 | G4double z ; // the two parameters for the surface equation |
---|
934 | G4double x,xmin,xmax ; |
---|
935 | |
---|
936 | G4ThreeVector p ; // a point on the surface, given by (z,u) |
---|
937 | |
---|
938 | G4int nnode ; |
---|
939 | G4int nface ; |
---|
940 | |
---|
941 | // calculate the (n-1)*(m-1) vertices |
---|
942 | |
---|
943 | G4int i,j ; |
---|
944 | |
---|
945 | for ( i = 0 ; i<n ; i++ ) { |
---|
946 | |
---|
947 | z = fAxisMin[1] + i*(fAxisMax[1]-fAxisMin[1])/(n-1) ; |
---|
948 | |
---|
949 | for ( j = 0 ; j<m ; j++ ) |
---|
950 | { |
---|
951 | nnode = GetNode(i,j,m,n,iside) ; |
---|
952 | |
---|
953 | xmin = GetBoundaryMin(z) ; |
---|
954 | xmax = GetBoundaryMax(z) ; |
---|
955 | |
---|
956 | if (fHandedness < 0) { // inner hyperbolic surface |
---|
957 | x = xmin + j*(xmax-xmin)/(m-1) ; |
---|
958 | } else { // outer hyperbolic surface |
---|
959 | x = xmax - j*(xmax-xmin)/(m-1) ; |
---|
960 | } |
---|
961 | |
---|
962 | p = SurfacePoint(x,z,true) ; // surface point in global coord.system |
---|
963 | |
---|
964 | xyz[nnode][0] = p.x() ; |
---|
965 | xyz[nnode][1] = p.y() ; |
---|
966 | xyz[nnode][2] = p.z() ; |
---|
967 | |
---|
968 | if ( i<n-1 && j<m-1 ) { // clock wise filling |
---|
969 | |
---|
970 | nface = GetFace(i,j,m,n,iside) ; |
---|
971 | |
---|
972 | faces[nface][0] = GetEdgeVisibility(i,j,m,n,0,1) * ( GetNode(i ,j ,m,n,iside)+1) ; |
---|
973 | faces[nface][1] = GetEdgeVisibility(i,j,m,n,1,1) * ( GetNode(i+1,j ,m,n,iside)+1) ; |
---|
974 | faces[nface][2] = GetEdgeVisibility(i,j,m,n,2,1) * ( GetNode(i+1,j+1,m,n,iside)+1) ; |
---|
975 | faces[nface][3] = GetEdgeVisibility(i,j,m,n,3,1) * ( GetNode(i ,j+1,m,n,iside)+1) ; |
---|
976 | |
---|
977 | } |
---|
978 | } |
---|
979 | } |
---|
980 | } |
---|