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: G4Ellipse.cc,v 1.12 2007/05/18 07:33:31 gcosmo Exp $ |
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28 | // GEANT4 tag $Name: geant4-09-03 $ |
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29 | // |
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30 | // ---------------------------------------------------------------------- |
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31 | // GEANT 4 class source file |
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32 | // |
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33 | // G4Ellipse.cc |
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34 | // |
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35 | // ---------------------------------------------------------------------- |
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36 | |
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37 | #include "G4Ellipse.hh" |
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38 | |
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39 | #include "G4GeometryTolerance.hh" |
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40 | |
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41 | G4Ellipse::G4Ellipse() |
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42 | { |
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43 | } |
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44 | |
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45 | G4Ellipse::~G4Ellipse() |
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46 | { |
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47 | } |
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48 | |
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49 | G4Ellipse::G4Ellipse(const G4Ellipse& right) |
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50 | : G4Conic(), semiAxis1(right.semiAxis1), semiAxis2(right.semiAxis2), |
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51 | ratioAxis2Axis1(right.ratioAxis2Axis1), toUnitCircle(right.toUnitCircle), |
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52 | forTangent(right.forTangent) |
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53 | { |
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54 | pShift = right.pShift; |
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55 | position = right.position; |
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56 | bBox = right.bBox; |
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57 | start = right.start; |
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58 | end = right.end; |
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59 | pStart = right.pStart; |
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60 | pEnd = right.pEnd; |
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61 | pRange = right.pRange; |
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62 | bounded = right.bounded; |
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63 | sameSense = right.sameSense; |
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64 | } |
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65 | |
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66 | G4Ellipse& G4Ellipse::operator=(const G4Ellipse& right) |
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67 | { |
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68 | if (&right == this) return *this; |
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69 | |
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70 | semiAxis1 = right.semiAxis1; |
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71 | semiAxis2 = right.semiAxis2; |
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72 | ratioAxis2Axis1 = right.ratioAxis2Axis1; |
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73 | toUnitCircle = right.toUnitCircle; |
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74 | forTangent = right.forTangent; |
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75 | pShift = right.pShift; |
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76 | position = right.position; |
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77 | bBox = right.bBox; |
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78 | start = right.start; |
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79 | end = right.end; |
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80 | pStart = right.pStart; |
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81 | pEnd = right.pEnd; |
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82 | pRange = right.pRange; |
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83 | bounded = right.bounded; |
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84 | sameSense = right.sameSense; |
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85 | |
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86 | return *this; |
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87 | } |
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88 | |
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89 | G4Curve* G4Ellipse::Project(const G4Transform3D& tr) |
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90 | { |
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91 | G4Point3D newLocation = tr*position.GetLocation(); |
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92 | newLocation.setZ(0); |
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93 | G4double axisZ = ( tr*position.GetPZ() ).unit().z(); |
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94 | |
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95 | if (std::abs(axisZ)<G4GeometryTolerance::GetInstance()->GetAngularTolerance()) |
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96 | { return 0; } |
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97 | |
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98 | G4Vector3D newAxis(0, 0, axisZ>0? +1: -1); |
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99 | |
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100 | // get the parameter of an endpoint of an axis |
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101 | // (this is a point the distance of which from the center is extreme) |
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102 | G4Vector3D xPrime= tr*position.GetPX(); |
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103 | xPrime.setZ(0); |
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104 | G4Vector3D yPrime= tr*position.GetPY(); |
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105 | yPrime.setZ(0); |
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106 | |
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107 | G4Vector3D a = G4Vector3D( semiAxis1*xPrime ); |
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108 | G4Vector3D b = G4Vector3D( semiAxis2*yPrime ); |
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109 | |
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110 | G4double u; |
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111 | G4double abmag = a.mag2()-b.mag2(); |
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112 | G4double prod = 2*a*b; |
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113 | |
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114 | if ((abmag > FLT_MAX) && (prod < -FLT_MAX)) |
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115 | u = -pi/8; |
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116 | else if ((abmag < -FLT_MAX) && (prod > FLT_MAX)) |
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117 | u = 3*pi/8; |
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118 | else if ((abmag < -FLT_MAX) && (prod < -FLT_MAX)) |
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119 | u = -3*pi/8; |
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120 | else if ((std::abs(abmag) < perMillion) && (std::abs(prod) < perMillion)) |
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121 | u = 0.; |
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122 | else |
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123 | u = std::atan2(prod,abmag) / 2; |
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124 | |
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125 | // get the coordinate axis directions and the semiaxis lengths |
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126 | G4Vector3D sAxis1 = G4Vector3D( a*std::cos(u)+b*std::sin(u) ); |
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127 | G4Vector3D sAxis2 = G4Vector3D( a*std::cos(u+pi/2)+b*std::sin(u+pi/2) ); |
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128 | G4double newSemiAxis1 = sAxis1.mag(); |
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129 | G4double newSemiAxis2 = sAxis2.mag(); |
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130 | G4Vector3D newRefDirection = sAxis1; |
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131 | |
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132 | // create the new ellipse |
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133 | G4Axis2Placement3D newPosition; |
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134 | newPosition.Init(newRefDirection, newAxis, newLocation); |
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135 | G4Ellipse* r= new G4Ellipse; |
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136 | r->Init(newPosition, newSemiAxis1, newSemiAxis2); |
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137 | |
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138 | // introduce the shift in the parametrization |
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139 | // maybe the Sign must be changed? |
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140 | r->SetPShift(u); |
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141 | |
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142 | // set the bounds when necessary |
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143 | if (IsBounded()) |
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144 | r->SetBounds(GetPStart(), GetPEnd()); |
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145 | |
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146 | // L. Broglia |
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147 | // copy sense of the curve |
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148 | r->SetSameSense(GetSameSense()); |
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149 | |
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150 | return r; |
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151 | } |
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152 | |
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153 | void G4Ellipse::InitBounded() |
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154 | { |
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155 | // original implementation |
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156 | // const G4Point3D& center = position.GetLocation(); |
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157 | // G4double maxEntent = std::max(semiAxis1, semiAxis2); |
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158 | // G4Vector3D halfExtent(maxEntent, maxEntent, maxEntent); |
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159 | // bBox.Init(center+halfExtent, center-halfExtent); |
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160 | |
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161 | // the bbox must include the start and endpoints as well as the |
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162 | // extreme points if they lie on the curve |
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163 | bBox.Init(GetStart(), GetEnd()); |
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164 | |
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165 | // the parameter values |
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166 | // belonging to the points with an extreme x, y and z coordinate |
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167 | for (G4int i=0; i<3; i++) |
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168 | { |
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169 | G4double u= std::atan2(position.GetPY()(i)*semiAxis2, |
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170 | position.GetPX()(i)*semiAxis1); |
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171 | if (IsPOn(u)) |
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172 | bBox.Extend(GetPoint(u)); |
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173 | |
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174 | if (IsPOn(u+pi)) |
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175 | bBox.Extend(GetPoint(u+pi)); |
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176 | } |
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177 | } |
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178 | |
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179 | |
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180 | G4bool G4Ellipse::Tangent(G4CurvePoint& cp, G4Vector3D& v) |
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181 | { |
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182 | // The tangent is computed from the 3D point representation |
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183 | // for all conics. An alternaive implementation (based on |
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184 | // the parametric point) might be worthwhile adding |
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185 | // for efficiency. |
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186 | |
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187 | const G4Axis2Placement3D& pos = *(GetPosition()); |
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188 | G4Point3D p= pos.GetToPlacementCoordinates() * cp.GetPoint(); |
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189 | |
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190 | v=forTangent*p.y()*pos.GetPX() + p.x()*pos.GetPY(); |
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191 | if(GetSameSense()) |
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192 | v = -v; |
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193 | |
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194 | return true; |
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195 | } |
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196 | |
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