[831] | 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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[1228] | 26 | // $Id: G4Ellipsoid.cc,v 1.24 2009/09/24 15:51:02 gcosmo Exp $ |
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| 27 | // GEANT4 tag $Name: geant4-09-03 $ |
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[831] | 28 | // |
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| 29 | // class G4Ellipsoid |
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| 30 | // |
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| 31 | // Implementation for G4Ellipsoid class |
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| 32 | // |
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| 33 | // History: |
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| 34 | // |
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| 35 | // 10.11.99 G.Horton-Smith -- first writing, based on G4Sphere class |
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| 36 | // 25.02.05 G.Guerrieri -- Modified for future Geant4 release |
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| 37 | // |
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| 38 | // -------------------------------------------------------------------- |
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| 39 | |
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| 40 | #include "globals.hh" |
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| 41 | |
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| 42 | #include "G4Ellipsoid.hh" |
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| 43 | |
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| 44 | #include "G4VoxelLimits.hh" |
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| 45 | #include "G4AffineTransform.hh" |
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| 46 | #include "G4GeometryTolerance.hh" |
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| 47 | |
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| 48 | #include "meshdefs.hh" |
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| 49 | |
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| 50 | #include "Randomize.hh" |
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| 51 | |
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| 52 | #include "G4VGraphicsScene.hh" |
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| 53 | #include "G4Polyhedron.hh" |
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| 54 | #include "G4NURBS.hh" |
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| 55 | #include "G4NURBSbox.hh" |
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| 56 | #include "G4VisExtent.hh" |
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| 57 | |
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| 58 | using namespace CLHEP; |
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| 59 | |
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| 60 | /////////////////////////////////////////////////////////////////////////////// |
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| 61 | // |
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| 62 | // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI |
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| 63 | // - note if pDPhi>2PI then reset to 2PI |
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| 64 | |
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| 65 | G4Ellipsoid::G4Ellipsoid(const G4String& pName, |
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| 66 | G4double pxSemiAxis, |
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| 67 | G4double pySemiAxis, |
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| 68 | G4double pzSemiAxis, |
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| 69 | G4double pzBottomCut, |
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| 70 | G4double pzTopCut) |
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| 71 | : G4VSolid(pName), fpPolyhedron(0), fCubicVolume(0.), fSurfaceArea(0.), |
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| 72 | zBottomCut(0.), zTopCut(0.) |
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| 73 | { |
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| 74 | // note: for users that want to use the full ellipsoid it is useful |
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| 75 | // to include a default for the cuts |
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| 76 | |
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| 77 | kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance(); |
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| 78 | |
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| 79 | // Check Semi-Axis |
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| 80 | if ( (pxSemiAxis>0.) && (pySemiAxis>0.) && (pzSemiAxis>0.) ) |
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| 81 | { |
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| 82 | SetSemiAxis(pxSemiAxis, pySemiAxis, pzSemiAxis); |
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| 83 | } |
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| 84 | else |
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| 85 | { |
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| 86 | G4cerr << "ERROR - G4Ellipsoid::G4Ellipsoid(): " << GetName() << G4endl |
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| 87 | << " Invalid semi-axis !" |
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| 88 | << G4endl; |
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| 89 | G4Exception("G4Ellipsoid::G4Ellipsoid()", "InvalidSetup", |
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| 90 | FatalException, "Invalid semi-axis."); |
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| 91 | } |
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| 92 | |
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| 93 | if ( pzBottomCut == 0 && pzTopCut == 0 ) |
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| 94 | { |
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| 95 | SetZCuts(-pzSemiAxis, pzSemiAxis); |
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| 96 | } |
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| 97 | else if ( (pzBottomCut < pzSemiAxis) && (pzTopCut > -pzSemiAxis) |
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| 98 | && (pzBottomCut < pzTopCut) ) |
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| 99 | { |
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| 100 | SetZCuts(pzBottomCut, pzTopCut); |
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| 101 | } |
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| 102 | else |
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| 103 | { |
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| 104 | G4cerr << "ERROR - G4Ellipsoid::G4Ellipsoid(): " << GetName() << G4endl |
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| 105 | << " Invalid z-coordinate for cutting plane !" |
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| 106 | << G4endl; |
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| 107 | G4Exception("G4Ellipsoid::G4Ellipsoid()", "InvalidSetup", |
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| 108 | FatalException, "Invalid z-coordinate for cutting plane."); |
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| 109 | } |
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| 110 | } |
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| 111 | |
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| 112 | /////////////////////////////////////////////////////////////////////////////// |
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| 113 | // |
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| 114 | // Fake default constructor - sets only member data and allocates memory |
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| 115 | // for usage restricted to object persistency. |
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| 116 | // |
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| 117 | G4Ellipsoid::G4Ellipsoid( __void__& a ) |
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| 118 | : G4VSolid(a), fpPolyhedron(0), fCubicVolume(0.), fSurfaceArea(0.) |
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| 119 | { |
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| 120 | } |
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| 121 | |
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| 122 | /////////////////////////////////////////////////////////////////////////////// |
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| 123 | // |
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| 124 | // Destructor |
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| 125 | |
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| 126 | G4Ellipsoid::~G4Ellipsoid() |
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| 127 | { |
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| 128 | } |
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| 129 | |
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| 130 | /////////////////////////////////////////////////////////////////////////////// |
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| 131 | // |
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| 132 | // Calculate extent under transform and specified limit |
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| 133 | |
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| 134 | G4bool |
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| 135 | G4Ellipsoid::CalculateExtent(const EAxis pAxis, |
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| 136 | const G4VoxelLimits& pVoxelLimit, |
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| 137 | const G4AffineTransform& pTransform, |
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| 138 | G4double& pMin, G4double& pMax) const |
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| 139 | { |
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| 140 | if (!pTransform.IsRotated()) |
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| 141 | { |
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| 142 | // Special case handling for unrotated solid ellipsoid |
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| 143 | // Compute x/y/z mins and maxs for bounding box respecting limits, |
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| 144 | // with early returns if outside limits. Then switch() on pAxis, |
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| 145 | // and compute exact x and y limit for x/y case |
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| 146 | |
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| 147 | G4double xoffset,xMin,xMax; |
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| 148 | G4double yoffset,yMin,yMax; |
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| 149 | G4double zoffset,zMin,zMax; |
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| 150 | |
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| 151 | G4double maxDiff,newMin,newMax; |
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| 152 | G4double xoff,yoff; |
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| 153 | |
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| 154 | xoffset=pTransform.NetTranslation().x(); |
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| 155 | xMin=xoffset - xSemiAxis; |
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| 156 | xMax=xoffset + xSemiAxis; |
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| 157 | if (pVoxelLimit.IsXLimited()) |
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| 158 | { |
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| 159 | if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance) |
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| 160 | || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) ) |
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| 161 | { |
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| 162 | return false; |
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| 163 | } |
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| 164 | else |
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| 165 | { |
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| 166 | if (xMin<pVoxelLimit.GetMinXExtent()) |
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| 167 | { |
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| 168 | xMin=pVoxelLimit.GetMinXExtent(); |
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| 169 | } |
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| 170 | if (xMax>pVoxelLimit.GetMaxXExtent()) |
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| 171 | { |
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| 172 | xMax=pVoxelLimit.GetMaxXExtent(); |
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| 173 | } |
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| 174 | } |
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| 175 | } |
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| 176 | |
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| 177 | yoffset=pTransform.NetTranslation().y(); |
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| 178 | yMin=yoffset - ySemiAxis; |
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| 179 | yMax=yoffset + ySemiAxis; |
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| 180 | if (pVoxelLimit.IsYLimited()) |
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| 181 | { |
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| 182 | if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance) |
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| 183 | || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) ) |
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| 184 | { |
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| 185 | return false; |
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| 186 | } |
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| 187 | else |
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| 188 | { |
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| 189 | if (yMin<pVoxelLimit.GetMinYExtent()) |
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| 190 | { |
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| 191 | yMin=pVoxelLimit.GetMinYExtent(); |
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| 192 | } |
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| 193 | if (yMax>pVoxelLimit.GetMaxYExtent()) |
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| 194 | { |
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| 195 | yMax=pVoxelLimit.GetMaxYExtent(); |
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| 196 | } |
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| 197 | } |
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| 198 | } |
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| 199 | |
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| 200 | zoffset=pTransform.NetTranslation().z(); |
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| 201 | zMin=zoffset + (-zSemiAxis > zBottomCut ? -zSemiAxis : zBottomCut); |
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| 202 | zMax=zoffset + ( zSemiAxis < zTopCut ? zSemiAxis : zTopCut); |
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| 203 | if (pVoxelLimit.IsZLimited()) |
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| 204 | { |
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| 205 | if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance) |
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| 206 | || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) ) |
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| 207 | { |
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| 208 | return false; |
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| 209 | } |
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| 210 | else |
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| 211 | { |
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| 212 | if (zMin<pVoxelLimit.GetMinZExtent()) |
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| 213 | { |
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| 214 | zMin=pVoxelLimit.GetMinZExtent(); |
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| 215 | } |
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| 216 | if (zMax>pVoxelLimit.GetMaxZExtent()) |
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| 217 | { |
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| 218 | zMax=pVoxelLimit.GetMaxZExtent(); |
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| 219 | } |
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| 220 | } |
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| 221 | } |
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| 222 | |
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| 223 | // if here, then known to cut bounding box around ellipsoid |
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| 224 | // |
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| 225 | xoff = (xoffset < xMin) ? (xMin-xoffset) |
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| 226 | : (xoffset > xMax) ? (xoffset-xMax) : 0.0; |
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| 227 | yoff = (yoffset < yMin) ? (yMin-yoffset) |
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| 228 | : (yoffset > yMax) ? (yoffset-yMax) : 0.0; |
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| 229 | |
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| 230 | // detailed calculations |
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| 231 | // NOTE: does not use X or Y offsets to adjust Z range, |
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| 232 | // and does not use Z offset to adjust X or Y range, |
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| 233 | // which is consistent with G4Sphere::CalculateExtent behavior |
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| 234 | // |
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| 235 | switch (pAxis) |
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| 236 | { |
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| 237 | case kXAxis: |
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| 238 | if (yoff==0.) |
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| 239 | { |
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| 240 | // YZ limits cross max/min x => no change |
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| 241 | // |
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| 242 | pMin=xMin; |
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| 243 | pMax=xMax; |
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| 244 | } |
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| 245 | else |
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| 246 | { |
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| 247 | // YZ limits don't cross max/min x => compute max delta x, |
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| 248 | // hence new mins/maxs |
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| 249 | // |
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| 250 | maxDiff= 1.0-sqr(yoff/ySemiAxis); |
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| 251 | if (maxDiff < 0.0) { return false; } |
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| 252 | maxDiff= xSemiAxis * std::sqrt(maxDiff); |
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| 253 | newMin=xoffset-maxDiff; |
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| 254 | newMax=xoffset+maxDiff; |
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| 255 | pMin=(newMin<xMin) ? xMin : newMin; |
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| 256 | pMax=(newMax>xMax) ? xMax : newMax; |
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| 257 | } |
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| 258 | break; |
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| 259 | case kYAxis: |
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| 260 | if (xoff==0.) |
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| 261 | { |
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| 262 | // XZ limits cross max/min y => no change |
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| 263 | // |
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| 264 | pMin=yMin; |
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| 265 | pMax=yMax; |
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| 266 | } |
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| 267 | else |
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| 268 | { |
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| 269 | // XZ limits don't cross max/min y => compute max delta y, |
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| 270 | // hence new mins/maxs |
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| 271 | // |
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| 272 | maxDiff= 1.0-sqr(xoff/xSemiAxis); |
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| 273 | if (maxDiff < 0.0) { return false; } |
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| 274 | maxDiff= ySemiAxis * std::sqrt(maxDiff); |
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| 275 | newMin=yoffset-maxDiff; |
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| 276 | newMax=yoffset+maxDiff; |
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| 277 | pMin=(newMin<yMin) ? yMin : newMin; |
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| 278 | pMax=(newMax>yMax) ? yMax : newMax; |
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| 279 | } |
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| 280 | break; |
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| 281 | case kZAxis: |
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| 282 | pMin=zMin; |
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| 283 | pMax=zMax; |
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| 284 | break; |
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| 285 | default: |
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| 286 | break; |
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| 287 | } |
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| 288 | |
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| 289 | pMin-=kCarTolerance; |
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| 290 | pMax+=kCarTolerance; |
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| 291 | return true; |
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| 292 | } |
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| 293 | else // not rotated |
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| 294 | { |
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| 295 | G4int i,j,noEntries,noBetweenSections; |
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| 296 | G4bool existsAfterClip=false; |
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| 297 | |
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| 298 | // Calculate rotated vertex coordinates |
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| 299 | |
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| 300 | G4int noPolygonVertices=0; |
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| 301 | G4ThreeVectorList* vertices = |
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| 302 | CreateRotatedVertices(pTransform,noPolygonVertices); |
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| 303 | |
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| 304 | pMin=+kInfinity; |
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| 305 | pMax=-kInfinity; |
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| 306 | |
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| 307 | noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections |
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| 308 | noBetweenSections=noEntries-noPolygonVertices; |
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| 309 | |
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| 310 | G4ThreeVectorList ThetaPolygon; |
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| 311 | for (i=0;i<noEntries;i+=noPolygonVertices) |
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| 312 | { |
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| 313 | for(j=0;j<(noPolygonVertices/2)-1;j++) |
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| 314 | { |
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| 315 | ThetaPolygon.push_back((*vertices)[i+j]); |
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| 316 | ThetaPolygon.push_back((*vertices)[i+j+1]); |
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| 317 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]); |
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| 318 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]); |
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| 319 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 320 | ThetaPolygon.clear(); |
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| 321 | } |
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| 322 | } |
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| 323 | for (i=0;i<noBetweenSections;i+=noPolygonVertices) |
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| 324 | { |
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| 325 | for(j=0;j<noPolygonVertices-1;j++) |
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| 326 | { |
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| 327 | ThetaPolygon.push_back((*vertices)[i+j]); |
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| 328 | ThetaPolygon.push_back((*vertices)[i+j+1]); |
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| 329 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]); |
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| 330 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]); |
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| 331 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 332 | ThetaPolygon.clear(); |
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| 333 | } |
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| 334 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]); |
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| 335 | ThetaPolygon.push_back((*vertices)[i]); |
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| 336 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]); |
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| 337 | ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]); |
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| 338 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 339 | ThetaPolygon.clear(); |
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| 340 | } |
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| 341 | if ( (pMin!=kInfinity) || (pMax!=-kInfinity) ) |
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| 342 | { |
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| 343 | existsAfterClip=true; |
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| 344 | |
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| 345 | // Add 2*tolerance to avoid precision troubles |
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| 346 | // |
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| 347 | pMin-=kCarTolerance; |
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| 348 | pMax+=kCarTolerance; |
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| 349 | |
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| 350 | } |
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| 351 | else |
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| 352 | { |
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| 353 | // Check for case where completely enveloping clipping volume |
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| 354 | // If point inside then we are confident that the solid completely |
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| 355 | // envelopes the clipping volume. Hence set min/max extents according |
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| 356 | // to clipping volume extents along the specified axis. |
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| 357 | // |
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| 358 | G4ThreeVector |
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| 359 | clipCentre((pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5, |
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| 360 | (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5, |
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| 361 | (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5); |
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| 362 | |
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| 363 | if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside) |
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| 364 | { |
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| 365 | existsAfterClip=true; |
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| 366 | pMin=pVoxelLimit.GetMinExtent(pAxis); |
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| 367 | pMax=pVoxelLimit.GetMaxExtent(pAxis); |
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| 368 | } |
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| 369 | } |
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| 370 | delete vertices; |
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| 371 | return existsAfterClip; |
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| 372 | } |
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| 373 | } |
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| 374 | |
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| 375 | /////////////////////////////////////////////////////////////////////////////// |
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| 376 | // |
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| 377 | // Return whether point inside/outside/on surface |
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| 378 | // Split into radius, phi, theta checks |
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| 379 | // Each check modifies `in', or returns as approprate |
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| 380 | |
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| 381 | EInside G4Ellipsoid::Inside(const G4ThreeVector& p) const |
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| 382 | { |
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| 383 | G4double rad2oo, // outside surface outer tolerance |
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| 384 | rad2oi; // outside surface inner tolerance |
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| 385 | EInside in; |
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| 386 | |
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[1228] | 387 | static const G4double halfRadTolerance=kRadTolerance*0.5; |
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| 388 | |
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[831] | 389 | // check this side of z cut first, because that's fast |
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| 390 | // |
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[1228] | 391 | if (p.z() < zBottomCut-halfRadTolerance) { return in=kOutside; } |
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| 392 | if (p.z() > zTopCut+halfRadTolerance) { return in=kOutside; } |
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[831] | 393 | |
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[1228] | 394 | rad2oo= sqr(p.x()/(xSemiAxis+halfRadTolerance)) |
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| 395 | + sqr(p.y()/(ySemiAxis+halfRadTolerance)) |
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| 396 | + sqr(p.z()/(zSemiAxis+halfRadTolerance)); |
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[831] | 397 | |
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[1228] | 398 | if (rad2oo > 1.0) { return in=kOutside; } |
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[831] | 399 | |
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[1228] | 400 | rad2oi= sqr(p.x()*(1.0+halfRadTolerance/xSemiAxis)/xSemiAxis) |
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| 401 | + sqr(p.y()*(1.0+halfRadTolerance/ySemiAxis)/ySemiAxis) |
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| 402 | + sqr(p.z()*(1.0+halfRadTolerance/zSemiAxis)/zSemiAxis); |
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[831] | 403 | |
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| 404 | // Check radial surfaces |
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| 405 | // sets `in' (already checked for rad2oo > 1.0) |
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| 406 | // |
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| 407 | if (rad2oi < 1.0) |
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| 408 | { |
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[1228] | 409 | in = ( (p.z() < zBottomCut+halfRadTolerance) |
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| 410 | || (p.z() > zTopCut-halfRadTolerance) ) ? kSurface : kInside; |
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| 411 | if ( rad2oi > 1.0-halfRadTolerance ) { in=kSurface; } |
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[831] | 412 | } |
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| 413 | else |
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| 414 | { |
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| 415 | in = kSurface; |
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| 416 | } |
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[1228] | 417 | return in; |
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[831] | 418 | |
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| 419 | } |
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| 420 | |
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| 421 | /////////////////////////////////////////////////////////////////////////////// |
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| 422 | // |
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| 423 | // Return unit normal of surface closest to p not protected against p=0 |
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| 424 | |
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| 425 | G4ThreeVector G4Ellipsoid::SurfaceNormal( const G4ThreeVector& p) const |
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| 426 | { |
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| 427 | G4double distR, distZBottom, distZTop; |
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| 428 | |
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| 429 | // normal vector with special magnitude: parallel to normal, units 1/length |
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| 430 | // norm*p == 1.0 if on surface, >1.0 if outside, <1.0 if inside |
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| 431 | // |
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| 432 | G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis), |
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| 433 | p.y()/(ySemiAxis*ySemiAxis), |
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| 434 | p.z()/(zSemiAxis*zSemiAxis)); |
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| 435 | G4double radius = 1.0/norm.mag(); |
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| 436 | |
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| 437 | // approximate distance to curved surface |
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| 438 | // |
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| 439 | distR = std::fabs( (p*norm - 1.0) * radius ) / 2.0; |
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| 440 | |
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| 441 | // Distance to z-cut plane |
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| 442 | // |
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| 443 | distZBottom = std::fabs( p.z() - zBottomCut ); |
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| 444 | distZTop = std::fabs( p.z() - zTopCut ); |
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| 445 | |
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| 446 | if ( (distZBottom < distR) || (distZTop < distR) ) |
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| 447 | { |
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| 448 | return G4ThreeVector(0.,0.,(distZBottom < distZTop) ? -1.0 : 1.0); |
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| 449 | } |
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| 450 | return ( norm *= radius ); |
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| 451 | } |
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| 452 | |
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| 453 | /////////////////////////////////////////////////////////////////////////////// |
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| 454 | // |
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| 455 | // Calculate distance to shape from outside, along normalised vector |
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| 456 | // - return kInfinity if no intersection, or intersection distance <= tolerance |
---|
| 457 | // |
---|
| 458 | |
---|
| 459 | G4double G4Ellipsoid::DistanceToIn( const G4ThreeVector& p, |
---|
| 460 | const G4ThreeVector& v ) const |
---|
| 461 | { |
---|
[1228] | 462 | static const G4double halfCarTolerance=kCarTolerance*0.5; |
---|
| 463 | static const G4double halfRadTolerance=kRadTolerance*0.5; |
---|
| 464 | |
---|
| 465 | G4double distMin = std::min(xSemiAxis,ySemiAxis); |
---|
| 466 | const G4double dRmax = 100.*std::min(distMin,zSemiAxis); |
---|
[831] | 467 | distMin= kInfinity; |
---|
| 468 | |
---|
| 469 | // check to see if Z plane is relevant |
---|
[1228] | 470 | if (p.z() <= zBottomCut+halfCarTolerance) |
---|
| 471 | { |
---|
| 472 | if (v.z() <= 0.0) { return distMin; } |
---|
[831] | 473 | G4double distZ = (zBottomCut - p.z()) / v.z(); |
---|
[1228] | 474 | |
---|
| 475 | if ( (distZ > -halfRadTolerance) && (Inside(p+distZ*v) != kOutside) ) |
---|
| 476 | { |
---|
| 477 | // early exit since can't intercept curved surface if we reach here |
---|
| 478 | if ( std::abs(distZ) < halfRadTolerance ) { distZ=0.; } |
---|
| 479 | return distMin= distZ; |
---|
| 480 | } |
---|
[831] | 481 | } |
---|
[1228] | 482 | if (p.z() >= zTopCut-halfCarTolerance) |
---|
| 483 | { |
---|
| 484 | if (v.z() >= 0.0) { return distMin;} |
---|
[831] | 485 | G4double distZ = (zTopCut - p.z()) / v.z(); |
---|
[1228] | 486 | if ( (distZ > -halfRadTolerance) && (Inside(p+distZ*v) != kOutside) ) |
---|
| 487 | { |
---|
| 488 | // early exit since can't intercept curved surface if we reach here |
---|
| 489 | if ( std::abs(distZ) < halfRadTolerance ) { distZ=0.; } |
---|
| 490 | return distMin= distZ; |
---|
| 491 | } |
---|
[831] | 492 | } |
---|
| 493 | // if fZCut1 <= p.z() <= fZCut2, then must hit curved surface |
---|
| 494 | |
---|
| 495 | // now check curved surface intercept |
---|
| 496 | G4double A,B,C; |
---|
| 497 | |
---|
| 498 | A= sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) + sqr(v.z()/zSemiAxis); |
---|
| 499 | C= sqr(p.x()/xSemiAxis) + sqr(p.y()/ySemiAxis) + sqr(p.z()/zSemiAxis) - 1.0; |
---|
[1228] | 500 | B= 2.0 * ( p.x()*v.x()/(xSemiAxis*xSemiAxis) |
---|
| 501 | + p.y()*v.y()/(ySemiAxis*ySemiAxis) |
---|
| 502 | + p.z()*v.z()/(zSemiAxis*zSemiAxis) ); |
---|
[831] | 503 | |
---|
| 504 | C= B*B - 4.0*A*C; |
---|
| 505 | if (C > 0.0) |
---|
[1228] | 506 | { |
---|
| 507 | G4double distR= (-B - std::sqrt(C)) / (2.0*A); |
---|
| 508 | G4double intZ = p.z()+distR*v.z(); |
---|
| 509 | if ( (distR > halfRadTolerance) |
---|
| 510 | && (intZ >= zBottomCut-halfRadTolerance) |
---|
| 511 | && (intZ <= zTopCut+halfRadTolerance) ) |
---|
| 512 | { |
---|
| 513 | distMin = distR; |
---|
| 514 | } |
---|
| 515 | else if( (distR >- halfRadTolerance) |
---|
| 516 | && (intZ >= zBottomCut-halfRadTolerance) |
---|
| 517 | && (intZ <= zTopCut+halfRadTolerance) ) |
---|
[831] | 518 | { |
---|
[1228] | 519 | // p is on the curved surface, DistanceToIn returns 0 or kInfinity: |
---|
| 520 | // DistanceToIn returns 0, if second root is positive (means going inside) |
---|
| 521 | // If second root is negative, DistanceToIn returns kInfinity (outside) |
---|
| 522 | // |
---|
| 523 | distR = (-B + std::sqrt(C) ) / (2.0*A); |
---|
| 524 | if(distR>0.) { distMin=0.; } |
---|
[831] | 525 | } |
---|
[1228] | 526 | else |
---|
| 527 | { |
---|
| 528 | distR= (-B + std::sqrt(C)) / (2.0*A); |
---|
| 529 | intZ = p.z()+distR*v.z(); |
---|
| 530 | if ( (distR > halfRadTolerance) |
---|
| 531 | && (intZ >= zBottomCut-halfRadTolerance) |
---|
| 532 | && (intZ <= zTopCut+halfRadTolerance) ) |
---|
| 533 | { |
---|
| 534 | G4ThreeVector norm=SurfaceNormal(p); |
---|
| 535 | if (norm.dot(v)<0.) { distMin = distR; } |
---|
| 536 | } |
---|
| 537 | } |
---|
| 538 | if ( (distMin!=kInfinity) && (distMin>dRmax) ) |
---|
| 539 | { // Avoid rounding errors due to precision issues on |
---|
| 540 | // 64 bits systems. Split long distances and recompute |
---|
| 541 | G4double fTerm = distMin-std::fmod(distMin,dRmax); |
---|
| 542 | distMin = fTerm + DistanceToIn(p+fTerm*v,v); |
---|
| 543 | } |
---|
| 544 | } |
---|
| 545 | |
---|
| 546 | if (std::abs(distMin)<halfRadTolerance) { distMin=0.; } |
---|
[831] | 547 | return distMin; |
---|
| 548 | } |
---|
| 549 | |
---|
| 550 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 551 | // |
---|
| 552 | // Calculate distance (<= actual) to closest surface of shape from outside |
---|
| 553 | // - Return 0 if point inside |
---|
| 554 | |
---|
| 555 | G4double G4Ellipsoid::DistanceToIn(const G4ThreeVector& p) const |
---|
| 556 | { |
---|
| 557 | G4double distR, distZ; |
---|
| 558 | |
---|
| 559 | // normal vector: parallel to normal, magnitude 1/(characteristic radius) |
---|
| 560 | // |
---|
| 561 | G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis), |
---|
| 562 | p.y()/(ySemiAxis*ySemiAxis), |
---|
| 563 | p.z()/(zSemiAxis*zSemiAxis)); |
---|
| 564 | G4double radius= 1.0/norm.mag(); |
---|
| 565 | |
---|
| 566 | // approximate distance to curved surface ( <= actual distance ) |
---|
| 567 | // |
---|
| 568 | distR= (p*norm - 1.0) * radius / 2.0; |
---|
| 569 | |
---|
| 570 | // Distance to z-cut plane |
---|
| 571 | // |
---|
| 572 | distZ= zBottomCut - p.z(); |
---|
| 573 | if (distZ < 0.0) |
---|
| 574 | { |
---|
| 575 | distZ = p.z() - zTopCut; |
---|
| 576 | } |
---|
| 577 | |
---|
| 578 | // Distance to closest surface from outside |
---|
| 579 | // |
---|
| 580 | if (distZ < 0.0) |
---|
| 581 | { |
---|
| 582 | return (distR < 0.0) ? 0.0 : distR; |
---|
| 583 | } |
---|
| 584 | else if (distR < 0.0) |
---|
| 585 | { |
---|
| 586 | return distZ; |
---|
| 587 | } |
---|
| 588 | else |
---|
| 589 | { |
---|
| 590 | return (distZ < distR) ? distZ : distR; |
---|
| 591 | } |
---|
| 592 | } |
---|
| 593 | |
---|
| 594 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 595 | // |
---|
| 596 | // Calculate distance to surface of shape from `inside', allowing for tolerance |
---|
| 597 | |
---|
| 598 | G4double G4Ellipsoid::DistanceToOut(const G4ThreeVector& p, |
---|
| 599 | const G4ThreeVector& v, |
---|
| 600 | const G4bool calcNorm, |
---|
| 601 | G4bool *validNorm, |
---|
| 602 | G4ThreeVector *n ) const |
---|
| 603 | { |
---|
| 604 | G4double distMin; |
---|
| 605 | enum surface_e {kPlaneSurf, kCurvedSurf, kNoSurf} surface; |
---|
| 606 | |
---|
| 607 | distMin= kInfinity; |
---|
| 608 | surface= kNoSurf; |
---|
| 609 | |
---|
| 610 | // check to see if Z plane is relevant |
---|
| 611 | // |
---|
| 612 | if (v.z() < 0.0) |
---|
| 613 | { |
---|
| 614 | G4double distZ = (zBottomCut - p.z()) / v.z(); |
---|
| 615 | if (distZ < 0.0) |
---|
| 616 | { |
---|
| 617 | distZ= 0.0; |
---|
| 618 | if (!calcNorm) {return 0.0;} |
---|
| 619 | } |
---|
| 620 | distMin= distZ; |
---|
| 621 | surface= kPlaneSurf; |
---|
| 622 | } |
---|
| 623 | if (v.z() > 0.0) |
---|
| 624 | { |
---|
| 625 | G4double distZ = (zTopCut - p.z()) / v.z(); |
---|
| 626 | if (distZ < 0.0) |
---|
| 627 | { |
---|
| 628 | distZ= 0.0; |
---|
| 629 | if (!calcNorm) {return 0.0;} |
---|
| 630 | } |
---|
| 631 | distMin= distZ; |
---|
| 632 | surface= kPlaneSurf; |
---|
| 633 | } |
---|
| 634 | |
---|
| 635 | // normal vector: parallel to normal, magnitude 1/(characteristic radius) |
---|
| 636 | // |
---|
| 637 | G4ThreeVector nearnorm(p.x()/(xSemiAxis*xSemiAxis), |
---|
| 638 | p.y()/(ySemiAxis*ySemiAxis), |
---|
| 639 | p.z()/(zSemiAxis*zSemiAxis)); |
---|
| 640 | |
---|
| 641 | // now check curved surface intercept |
---|
| 642 | // |
---|
| 643 | G4double A,B,C; |
---|
| 644 | |
---|
| 645 | A= sqr(v.x()/xSemiAxis) + sqr(v.y()/ySemiAxis) + sqr(v.z()/zSemiAxis); |
---|
| 646 | C= (p * nearnorm) - 1.0; |
---|
| 647 | B= 2.0 * (v * nearnorm); |
---|
| 648 | |
---|
| 649 | C= B*B - 4.0*A*C; |
---|
| 650 | if (C > 0.0) |
---|
| 651 | { |
---|
| 652 | G4double distR= (-B + std::sqrt(C) ) / (2.0*A); |
---|
| 653 | if (distR < 0.0) |
---|
| 654 | { |
---|
| 655 | distR= 0.0; |
---|
| 656 | if (!calcNorm) {return 0.0;} |
---|
| 657 | } |
---|
| 658 | if (distR < distMin) |
---|
| 659 | { |
---|
| 660 | distMin= distR; |
---|
| 661 | surface= kCurvedSurf; |
---|
| 662 | } |
---|
| 663 | } |
---|
| 664 | |
---|
| 665 | // set normal if requested |
---|
| 666 | // |
---|
| 667 | if (calcNorm) |
---|
| 668 | { |
---|
| 669 | if (surface == kNoSurf) |
---|
| 670 | { |
---|
| 671 | *validNorm = false; |
---|
| 672 | } |
---|
| 673 | else |
---|
| 674 | { |
---|
| 675 | *validNorm = true; |
---|
| 676 | switch (surface) |
---|
| 677 | { |
---|
| 678 | case kPlaneSurf: |
---|
[1228] | 679 | *n= G4ThreeVector(0.,0.,(v.z() > 0.0 ? 1. : -1.)); |
---|
[831] | 680 | break; |
---|
| 681 | case kCurvedSurf: |
---|
| 682 | { |
---|
| 683 | G4ThreeVector pexit= p + distMin*v; |
---|
| 684 | G4ThreeVector truenorm(pexit.x()/(xSemiAxis*xSemiAxis), |
---|
| 685 | pexit.y()/(ySemiAxis*ySemiAxis), |
---|
| 686 | pexit.z()/(zSemiAxis*zSemiAxis)); |
---|
| 687 | truenorm *= 1.0/truenorm.mag(); |
---|
| 688 | *n= truenorm; |
---|
| 689 | } break; |
---|
| 690 | default: |
---|
| 691 | G4cout.precision(16); |
---|
| 692 | G4cout << G4endl; |
---|
| 693 | DumpInfo(); |
---|
| 694 | G4cout << "Position:" << G4endl << G4endl; |
---|
| 695 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
| 696 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
| 697 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
| 698 | G4cout << "Direction:" << G4endl << G4endl; |
---|
| 699 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
| 700 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
| 701 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
| 702 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
| 703 | G4cout << "distMin = " << distMin/mm << " mm" << G4endl << G4endl; |
---|
| 704 | G4Exception("G4Ellipsoid::DistanceToOut(p,v,..)", |
---|
| 705 | "Notification", JustWarning, |
---|
| 706 | "Undefined side for valid surface normal to solid."); |
---|
| 707 | break; |
---|
| 708 | } |
---|
| 709 | } |
---|
| 710 | } |
---|
[1228] | 711 | |
---|
[831] | 712 | return distMin; |
---|
| 713 | } |
---|
| 714 | |
---|
| 715 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 716 | // |
---|
| 717 | // Calculate distance (<=actual) to closest surface of shape from inside |
---|
| 718 | |
---|
| 719 | G4double G4Ellipsoid::DistanceToOut(const G4ThreeVector& p) const |
---|
| 720 | { |
---|
| 721 | G4double distR, distZ; |
---|
| 722 | |
---|
| 723 | #ifdef G4SPECSDEBUG |
---|
| 724 | if( Inside(p) == kOutside ) |
---|
| 725 | { |
---|
| 726 | G4cout.precision(16) ; |
---|
| 727 | G4cout << G4endl ; |
---|
| 728 | DumpInfo(); |
---|
| 729 | G4cout << "Position:" << G4endl << G4endl ; |
---|
| 730 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ; |
---|
| 731 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ; |
---|
| 732 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ; |
---|
| 733 | G4Exception("G4Ellipsoid::DistanceToOut(p)", "Notification", JustWarning, |
---|
| 734 | "Point p is outside !?" ); |
---|
| 735 | } |
---|
| 736 | #endif |
---|
| 737 | |
---|
| 738 | // Normal vector: parallel to normal, magnitude 1/(characteristic radius) |
---|
| 739 | // |
---|
| 740 | G4ThreeVector norm(p.x()/(xSemiAxis*xSemiAxis), |
---|
| 741 | p.y()/(ySemiAxis*ySemiAxis), |
---|
| 742 | p.z()/(zSemiAxis*zSemiAxis)); |
---|
| 743 | |
---|
| 744 | // the following is a safe inlined "radius= min(1.0/norm.mag(),p.mag()) |
---|
| 745 | // |
---|
| 746 | G4double radius= p.mag(); |
---|
| 747 | G4double tmp= norm.mag(); |
---|
| 748 | if ( (tmp > 0.0) && (1.0 < radius*tmp) ) {radius = 1.0/tmp;} |
---|
| 749 | |
---|
| 750 | // Approximate distance to curved surface ( <= actual distance ) |
---|
| 751 | // |
---|
| 752 | distR = (1.0 - p*norm) * radius / 2.0; |
---|
| 753 | |
---|
| 754 | // Distance to z-cut plane |
---|
| 755 | // |
---|
| 756 | distZ = p.z() - zBottomCut; |
---|
| 757 | if (distZ < 0.0) {distZ= zTopCut - p.z();} |
---|
| 758 | |
---|
| 759 | // Distance to closest surface from inside |
---|
| 760 | // |
---|
| 761 | if ( (distZ < 0.0) || (distR < 0.0) ) |
---|
| 762 | { |
---|
| 763 | return 0.0; |
---|
| 764 | } |
---|
| 765 | else |
---|
| 766 | { |
---|
| 767 | return (distZ < distR) ? distZ : distR; |
---|
| 768 | } |
---|
| 769 | } |
---|
| 770 | |
---|
| 771 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 772 | // |
---|
| 773 | // Create a List containing the transformed vertices |
---|
| 774 | // Ordering [0-3] -fDz cross section |
---|
| 775 | // [4-7] +fDz cross section such that [0] is below [4], |
---|
| 776 | // [1] below [5] etc. |
---|
| 777 | // Note: |
---|
| 778 | // Caller has deletion resposibility |
---|
| 779 | // Potential improvement: For last slice, use actual ending angle |
---|
| 780 | // to avoid rounding error problems. |
---|
| 781 | |
---|
| 782 | G4ThreeVectorList* |
---|
| 783 | G4Ellipsoid::CreateRotatedVertices(const G4AffineTransform& pTransform, |
---|
| 784 | G4int& noPolygonVertices) const |
---|
| 785 | { |
---|
| 786 | G4ThreeVectorList *vertices; |
---|
| 787 | G4ThreeVector vertex; |
---|
| 788 | G4double meshAnglePhi, meshRMaxFactor, |
---|
| 789 | crossAnglePhi, coscrossAnglePhi, sincrossAnglePhi, sAnglePhi; |
---|
| 790 | G4double meshTheta, crossTheta, startTheta; |
---|
| 791 | G4double rMaxX, rMaxY, rMaxZ, rMaxMax, rx, ry, rz; |
---|
| 792 | G4int crossSectionPhi, noPhiCrossSections, crossSectionTheta, noThetaSections; |
---|
| 793 | |
---|
| 794 | // Phi cross sections |
---|
| 795 | // |
---|
| 796 | noPhiCrossSections=G4int (twopi/kMeshAngleDefault)+1; |
---|
| 797 | |
---|
| 798 | if (noPhiCrossSections<kMinMeshSections) |
---|
| 799 | { |
---|
| 800 | noPhiCrossSections=kMinMeshSections; |
---|
| 801 | } |
---|
| 802 | else if (noPhiCrossSections>kMaxMeshSections) |
---|
| 803 | { |
---|
| 804 | noPhiCrossSections=kMaxMeshSections; |
---|
| 805 | } |
---|
| 806 | meshAnglePhi=twopi/(noPhiCrossSections-1); |
---|
| 807 | |
---|
| 808 | // Set start angle such that mesh will be at fRMax |
---|
| 809 | // on the x axis. Will give better extent calculations when not rotated. |
---|
| 810 | |
---|
| 811 | sAnglePhi = -meshAnglePhi*0.5; |
---|
| 812 | |
---|
| 813 | // Theta cross sections |
---|
| 814 | |
---|
| 815 | noThetaSections = G4int(pi/kMeshAngleDefault)+3; |
---|
| 816 | |
---|
| 817 | if (noThetaSections<kMinMeshSections) |
---|
| 818 | { |
---|
| 819 | noThetaSections=kMinMeshSections; |
---|
| 820 | } |
---|
| 821 | else if (noThetaSections>kMaxMeshSections) |
---|
| 822 | { |
---|
| 823 | noThetaSections=kMaxMeshSections; |
---|
| 824 | } |
---|
| 825 | meshTheta= pi/(noThetaSections-2); |
---|
| 826 | |
---|
| 827 | // Set start angle such that mesh will be at fRMax |
---|
| 828 | // on the z axis. Will give better extent calculations when not rotated. |
---|
| 829 | |
---|
| 830 | startTheta = -meshTheta*0.5; |
---|
| 831 | |
---|
| 832 | meshRMaxFactor = 1.0/std::cos(0.5* |
---|
| 833 | std::sqrt(meshAnglePhi*meshAnglePhi+meshTheta*meshTheta)); |
---|
| 834 | rMaxMax= (xSemiAxis > ySemiAxis ? xSemiAxis : ySemiAxis); |
---|
| 835 | if (zSemiAxis > rMaxMax) rMaxMax= zSemiAxis; |
---|
| 836 | rMaxX= xSemiAxis + rMaxMax*(meshRMaxFactor-1.0); |
---|
| 837 | rMaxY= ySemiAxis + rMaxMax*(meshRMaxFactor-1.0); |
---|
| 838 | rMaxZ= zSemiAxis + rMaxMax*(meshRMaxFactor-1.0); |
---|
| 839 | G4double* cosCrossTheta = new G4double[noThetaSections]; |
---|
| 840 | G4double* sinCrossTheta = new G4double[noThetaSections]; |
---|
| 841 | vertices=new G4ThreeVectorList(noPhiCrossSections*noThetaSections); |
---|
| 842 | if (vertices && cosCrossTheta && sinCrossTheta) |
---|
| 843 | { |
---|
| 844 | for (crossSectionTheta=0; crossSectionTheta<noThetaSections; |
---|
| 845 | crossSectionTheta++) |
---|
| 846 | { |
---|
| 847 | // Compute sine and cosine table (for historical reasons) |
---|
| 848 | // |
---|
| 849 | crossTheta=startTheta+crossSectionTheta*meshTheta; |
---|
| 850 | cosCrossTheta[crossSectionTheta]=std::cos(crossTheta); |
---|
| 851 | sinCrossTheta[crossSectionTheta]=std::sin(crossTheta); |
---|
| 852 | } |
---|
| 853 | for (crossSectionPhi=0; crossSectionPhi<noPhiCrossSections; |
---|
| 854 | crossSectionPhi++) |
---|
| 855 | { |
---|
| 856 | crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi; |
---|
| 857 | coscrossAnglePhi=std::cos(crossAnglePhi); |
---|
| 858 | sincrossAnglePhi=std::sin(crossAnglePhi); |
---|
| 859 | for (crossSectionTheta=0; crossSectionTheta<noThetaSections; |
---|
| 860 | crossSectionTheta++) |
---|
| 861 | { |
---|
| 862 | // Compute coordinates of cross section at section crossSectionPhi |
---|
| 863 | // |
---|
| 864 | rx= sinCrossTheta[crossSectionTheta]*coscrossAnglePhi*rMaxX; |
---|
| 865 | ry= sinCrossTheta[crossSectionTheta]*sincrossAnglePhi*rMaxY; |
---|
| 866 | rz= cosCrossTheta[crossSectionTheta]*rMaxZ; |
---|
| 867 | if (rz < zBottomCut) |
---|
| 868 | { rz= zBottomCut; } |
---|
| 869 | if (rz > zTopCut) |
---|
| 870 | { rz= zTopCut; } |
---|
| 871 | vertex= G4ThreeVector(rx,ry,rz); |
---|
| 872 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
| 873 | } // Theta forward |
---|
| 874 | } // Phi |
---|
| 875 | noPolygonVertices = noThetaSections ; |
---|
| 876 | } |
---|
| 877 | else |
---|
| 878 | { |
---|
| 879 | DumpInfo(); |
---|
| 880 | G4Exception("G4Ellipsoid::CreateRotatedVertices()", |
---|
| 881 | "FatalError", FatalException, |
---|
| 882 | "Error in allocation of vertices. Out of memory !"); |
---|
| 883 | } |
---|
| 884 | |
---|
| 885 | delete[] cosCrossTheta; |
---|
| 886 | delete[] sinCrossTheta; |
---|
| 887 | |
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| 888 | return vertices; |
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| 889 | } |
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| 890 | |
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| 891 | ////////////////////////////////////////////////////////////////////////// |
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| 892 | // |
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| 893 | // G4EntityType |
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| 894 | |
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| 895 | G4GeometryType G4Ellipsoid::GetEntityType() const |
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| 896 | { |
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| 897 | return G4String("G4Ellipsoid"); |
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| 898 | } |
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| 899 | |
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| 900 | ////////////////////////////////////////////////////////////////////////// |
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| 901 | // |
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| 902 | // Stream object contents to an output stream |
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| 903 | |
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| 904 | std::ostream& G4Ellipsoid::StreamInfo( std::ostream& os ) const |
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| 905 | { |
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| 906 | os << "-----------------------------------------------------------\n" |
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| 907 | << " *** Dump for solid - " << GetName() << " ***\n" |
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| 908 | << " ===================================================\n" |
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| 909 | << " Solid type: G4Ellipsoid\n" |
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| 910 | << " Parameters: \n" |
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| 911 | |
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| 912 | << " semi-axis x: " << xSemiAxis/mm << " mm \n" |
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| 913 | << " semi-axis y: " << ySemiAxis/mm << " mm \n" |
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| 914 | << " semi-axis z: " << zSemiAxis/mm << " mm \n" |
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| 915 | << " max semi-axis: " << semiAxisMax/mm << " mm \n" |
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| 916 | << " lower cut plane level z: " << zBottomCut/mm << " mm \n" |
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| 917 | << " upper cut plane level z: " << zTopCut/mm << " mm \n" |
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| 918 | << "-----------------------------------------------------------\n"; |
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| 919 | |
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| 920 | return os; |
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| 921 | } |
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| 922 | |
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| 923 | //////////////////////////////////////////////////////////////////// |
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| 924 | // |
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| 925 | // GetPointOnSurface |
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| 926 | |
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| 927 | G4ThreeVector G4Ellipsoid::GetPointOnSurface() const |
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| 928 | { |
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| 929 | G4double aTop, aBottom, aCurved, chose, xRand, yRand, zRand, phi, theta; |
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| 930 | G4double cosphi, sinphi, costheta, sintheta, alpha, beta, max1, max2, max3; |
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| 931 | |
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| 932 | max1 = xSemiAxis > ySemiAxis ? xSemiAxis : ySemiAxis; |
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| 933 | max1 = max1 > zSemiAxis ? max1 : zSemiAxis; |
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[1228] | 934 | if (max1 == xSemiAxis) { max2 = ySemiAxis; max3 = zSemiAxis; } |
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| 935 | else if (max1 == ySemiAxis) { max2 = xSemiAxis; max3 = zSemiAxis; } |
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| 936 | else { max2 = xSemiAxis; max3 = ySemiAxis; } |
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[831] | 937 | |
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[1228] | 938 | phi = RandFlat::shoot(0.,twopi); |
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[831] | 939 | theta = RandFlat::shoot(0.,pi); |
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| 940 | |
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| 941 | cosphi = std::cos(phi); sinphi = std::sin(phi); |
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| 942 | costheta = RandFlat::shoot(zBottomCut,zTopCut)/zSemiAxis; |
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| 943 | sintheta = std::sqrt(1.-sqr(costheta)); |
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| 944 | |
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| 945 | alpha = 1.-sqr(max2/max1); beta = 1.-sqr(max3/max1); |
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| 946 | |
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| 947 | aTop = pi*xSemiAxis*ySemiAxis*(1 - sqr(zTopCut/zSemiAxis)); |
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| 948 | aBottom = pi*xSemiAxis*ySemiAxis*(1 - sqr(zBottomCut/zSemiAxis)); |
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| 949 | |
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| 950 | // approximation |
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| 951 | // from:" http://www.citr.auckland.ac.nz/techreports/2004/CITR-TR-139.pdf" |
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| 952 | aCurved = 4.*pi*max1*max2*(1.-1./6.*(alpha+beta)- |
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| 953 | 1./120.*(3.*sqr(alpha)+2.*alpha*beta+3.*sqr(beta))); |
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| 954 | |
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| 955 | aCurved *= 0.5*(1.2*zTopCut/zSemiAxis - 1.2*zBottomCut/zSemiAxis); |
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| 956 | |
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| 957 | if( ( zTopCut >= zSemiAxis && zBottomCut <= -1.*zSemiAxis ) |
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| 958 | || ( zTopCut == 0 && zBottomCut ==0 ) ) |
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| 959 | { |
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| 960 | aTop = 0; aBottom = 0; |
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| 961 | } |
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| 962 | |
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| 963 | chose = RandFlat::shoot(0.,aTop + aBottom + aCurved); |
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| 964 | |
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| 965 | if(chose < aCurved) |
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| 966 | { |
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| 967 | xRand = xSemiAxis*sintheta*cosphi; |
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| 968 | yRand = ySemiAxis*sintheta*sinphi; |
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| 969 | zRand = zSemiAxis*costheta; |
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| 970 | return G4ThreeVector (xRand,yRand,zRand); |
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| 971 | } |
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| 972 | else if(chose >= aCurved && chose < aCurved + aTop) |
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| 973 | { |
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| 974 | xRand = RandFlat::shoot(-1.,1.)*xSemiAxis |
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| 975 | * std::sqrt(1-sqr(zTopCut/zSemiAxis)); |
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| 976 | yRand = RandFlat::shoot(-1.,1.)*ySemiAxis |
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| 977 | * std::sqrt(1.-sqr(zTopCut/zSemiAxis)-sqr(xRand/xSemiAxis)); |
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| 978 | zRand = zTopCut; |
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| 979 | return G4ThreeVector (xRand,yRand,zRand); |
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| 980 | } |
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| 981 | else |
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| 982 | { |
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| 983 | xRand = RandFlat::shoot(-1.,1.)*xSemiAxis |
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| 984 | * std::sqrt(1-sqr(zBottomCut/zSemiAxis)); |
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| 985 | yRand = RandFlat::shoot(-1.,1.)*ySemiAxis |
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| 986 | * std::sqrt(1.-sqr(zBottomCut/zSemiAxis)-sqr(xRand/xSemiAxis)); |
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| 987 | zRand = zBottomCut; |
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| 988 | return G4ThreeVector (xRand,yRand,zRand); |
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| 989 | } |
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| 990 | } |
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| 991 | |
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| 992 | ///////////////////////////////////////////////////////////////////////////// |
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| 993 | // |
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| 994 | // Methods for visualisation |
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| 995 | |
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| 996 | void G4Ellipsoid::DescribeYourselfTo (G4VGraphicsScene& scene) const |
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| 997 | { |
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| 998 | scene.AddSolid(*this); |
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| 999 | } |
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| 1000 | |
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| 1001 | G4VisExtent G4Ellipsoid::GetExtent() const |
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| 1002 | { |
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| 1003 | // Define the sides of the box into which the G4Ellipsoid instance would fit. |
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| 1004 | // |
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| 1005 | return G4VisExtent (-semiAxisMax, semiAxisMax, |
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| 1006 | -semiAxisMax, semiAxisMax, |
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| 1007 | -semiAxisMax, semiAxisMax); |
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| 1008 | } |
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| 1009 | |
---|
| 1010 | G4NURBS* G4Ellipsoid::CreateNURBS () const |
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| 1011 | { |
---|
| 1012 | // Box for now!!! |
---|
| 1013 | // |
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| 1014 | return new G4NURBSbox(semiAxisMax, semiAxisMax, semiAxisMax); |
---|
| 1015 | } |
---|
| 1016 | |
---|
| 1017 | G4Polyhedron* G4Ellipsoid::CreatePolyhedron () const |
---|
| 1018 | { |
---|
| 1019 | return new G4PolyhedronEllipsoid(xSemiAxis, ySemiAxis, zSemiAxis, |
---|
| 1020 | zBottomCut, zTopCut); |
---|
| 1021 | } |
---|
| 1022 | |
---|
| 1023 | G4Polyhedron* G4Ellipsoid::GetPolyhedron () const |
---|
| 1024 | { |
---|
| 1025 | if (!fpPolyhedron || |
---|
| 1026 | fpPolyhedron->GetNumberOfRotationStepsAtTimeOfCreation() != |
---|
| 1027 | fpPolyhedron->GetNumberOfRotationSteps()) |
---|
| 1028 | { |
---|
| 1029 | delete fpPolyhedron; |
---|
| 1030 | fpPolyhedron = CreatePolyhedron(); |
---|
| 1031 | } |
---|
| 1032 | return fpPolyhedron; |
---|
| 1033 | } |
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