[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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| 26 | // |
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[1228] | 27 | // $Id: G4Sphere.cc,v 1.84 2009/08/07 15:56:23 gcosmo Exp $ |
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| 28 | // GEANT4 tag $Name: geant4-09-03 $ |
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[831] | 29 | // |
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| 30 | // class G4Sphere |
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| 31 | // |
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| 32 | // Implementation for G4Sphere class |
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| 33 | // |
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| 34 | // History: |
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| 35 | // |
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[1228] | 36 | // 14.09.09 T.Nikitina: fix for phi section in DistanceToOut(p,v,..),as for G4Tubs,G4Cons |
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| 37 | // 26.03.09 G.Cosmo : optimisations and uniform use of local radial tolerance |
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[850] | 38 | // 12.06.08 V.Grichine: fix for theta intersections in DistanceToOut(p,v,...) |
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[831] | 39 | // 22.07.05 O.Link : Added check for intersection with double cone |
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| 40 | // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal |
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| 41 | // 16.09.04 V.Grichine: bug fixed in SurfaceNormal(p), theta normals |
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| 42 | // 16.07.04 V.Grichine: bug fixed in DistanceToOut(p,v), Rmin go outside |
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| 43 | // 02.06.04 V.Grichine: bug fixed in DistanceToIn(p,v), on Rmax,Rmin go inside |
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| 44 | // 30.10.03 J.Apostolakis: new algorithm in Inside for SPhi-sections |
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[1228] | 45 | // 29.10.03 J.Apostolakis: fix in Inside for SPhi-0.5*kAngTol < phi<SPhi, SPhi<0 |
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[831] | 46 | // 19.06.02 V.Grichine: bug fixed in Inside(p), && -> && fDTheta - kAngTolerance |
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| 47 | // 30.01.02 V.Grichine: bug fixed in Inside(p), && -> || at l.451 |
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| 48 | // 06.03.00 V.Grichine: modifications in Distance ToOut(p,v,...) |
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| 49 | // 18.11.99 V.Grichine: side = kNull in Distance ToOut(p,v,...) |
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| 50 | // 25.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), phi intersections |
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| 51 | // 12.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), theta intersections |
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[850] | 52 | // 09.10.98 V.Grichine: modifications in DistanceToOut(p,v,...) |
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[831] | 53 | // 17.09.96 V.Grichine: final modifications to commit |
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| 54 | // 28.03.94 P.Kent: old C++ code converted to tolerant geometry |
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| 55 | // -------------------------------------------------------------------- |
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| 56 | |
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| 57 | #include "G4Sphere.hh" |
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| 58 | |
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| 59 | #include "G4VoxelLimits.hh" |
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| 60 | #include "G4AffineTransform.hh" |
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| 61 | #include "G4GeometryTolerance.hh" |
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| 62 | |
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| 63 | #include "G4VPVParameterisation.hh" |
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| 64 | |
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| 65 | #include "Randomize.hh" |
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| 66 | |
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| 67 | #include "meshdefs.hh" |
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| 68 | |
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| 69 | #include "G4VGraphicsScene.hh" |
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| 70 | #include "G4VisExtent.hh" |
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| 71 | #include "G4Polyhedron.hh" |
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| 72 | #include "G4NURBS.hh" |
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| 73 | #include "G4NURBSbox.hh" |
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| 74 | |
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| 75 | using namespace CLHEP; |
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| 76 | |
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| 77 | // Private enum: Not for external use - used by distanceToOut |
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| 78 | |
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| 79 | enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kSTheta,kETheta}; |
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| 80 | |
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| 81 | // used by normal |
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| 82 | |
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| 83 | enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNSTheta,kNETheta}; |
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| 84 | |
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| 85 | //////////////////////////////////////////////////////////////////////// |
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| 86 | // |
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| 87 | // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI |
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| 88 | // - note if pDPhi>2PI then reset to 2PI |
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| 89 | |
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| 90 | G4Sphere::G4Sphere( const G4String& pName, |
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| 91 | G4double pRmin, G4double pRmax, |
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| 92 | G4double pSPhi, G4double pDPhi, |
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| 93 | G4double pSTheta, G4double pDTheta ) |
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[1228] | 94 | : G4CSGSolid(pName), fFullPhiSphere(true), fFullThetaSphere(true) |
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[831] | 95 | { |
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[1228] | 96 | fEpsilon = 2.0e-11; // relative radial tolerance constant |
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[831] | 97 | |
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| 98 | kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance(); |
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| 99 | |
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[1228] | 100 | // Check radii and set radial tolerances |
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[831] | 101 | |
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[1228] | 102 | G4double kRadTolerance = G4GeometryTolerance::GetInstance() |
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| 103 | ->GetRadialTolerance(); |
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| 104 | if ( (pRmin < pRmax) && (pRmax >= 10*kRadTolerance) && (pRmin >= 0) ) |
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[831] | 105 | { |
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| 106 | fRmin=pRmin; fRmax=pRmax; |
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[1228] | 107 | fRminTolerance = (pRmin) ? std::max( kRadTolerance, fEpsilon*fRmin ) : 0; |
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| 108 | fRmaxTolerance = std::max( kRadTolerance, fEpsilon*fRmax ); |
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[831] | 109 | } |
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| 110 | else |
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| 111 | { |
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| 112 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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| 113 | << " Invalide values for radii ! - " |
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| 114 | << " pRmin = " << pRmin << ", pRmax = " << pRmax << G4endl; |
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| 115 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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| 116 | "Invalid radii"); |
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| 117 | } |
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| 118 | |
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| 119 | // Check angles |
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| 120 | |
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[1228] | 121 | CheckPhiAngles(pSPhi, pDPhi); |
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| 122 | CheckThetaAngles(pSTheta, pDTheta); |
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[831] | 123 | } |
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| 124 | |
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| 125 | /////////////////////////////////////////////////////////////////////// |
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| 126 | // |
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| 127 | // Fake default constructor - sets only member data and allocates memory |
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| 128 | // for usage restricted to object persistency. |
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| 129 | // |
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| 130 | G4Sphere::G4Sphere( __void__& a ) |
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| 131 | : G4CSGSolid(a) |
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| 132 | { |
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| 133 | } |
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| 134 | |
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| 135 | ///////////////////////////////////////////////////////////////////// |
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| 136 | // |
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| 137 | // Destructor |
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| 138 | |
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| 139 | G4Sphere::~G4Sphere() |
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| 140 | { |
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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 | // Dispatch to parameterisation for replication mechanism dimension |
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| 146 | // computation & modification. |
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| 147 | |
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| 148 | void G4Sphere::ComputeDimensions( G4VPVParameterisation* p, |
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| 149 | const G4int n, |
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| 150 | const G4VPhysicalVolume* pRep) |
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| 151 | { |
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| 152 | p->ComputeDimensions(*this,n,pRep); |
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| 153 | } |
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| 154 | |
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| 155 | //////////////////////////////////////////////////////////////////////////// |
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| 156 | // |
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| 157 | // Calculate extent under transform and specified limit |
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| 158 | |
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| 159 | G4bool G4Sphere::CalculateExtent( const EAxis pAxis, |
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| 160 | const G4VoxelLimits& pVoxelLimit, |
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| 161 | const G4AffineTransform& pTransform, |
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| 162 | G4double& pMin, G4double& pMax ) const |
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| 163 | { |
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[1228] | 164 | if ( fFullSphere ) |
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[831] | 165 | { |
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| 166 | // Special case handling for solid spheres-shells |
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| 167 | // (rotation doesn't influence). |
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| 168 | // Compute x/y/z mins and maxs for bounding box respecting limits, |
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| 169 | // with early returns if outside limits. Then switch() on pAxis, |
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| 170 | // and compute exact x and y limit for x/y case |
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| 171 | |
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| 172 | G4double xoffset,xMin,xMax; |
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| 173 | G4double yoffset,yMin,yMax; |
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| 174 | G4double zoffset,zMin,zMax; |
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| 175 | |
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| 176 | G4double diff1,diff2,maxDiff,newMin,newMax; |
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| 177 | G4double xoff1,xoff2,yoff1,yoff2; |
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| 178 | |
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| 179 | xoffset=pTransform.NetTranslation().x(); |
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| 180 | xMin=xoffset-fRmax; |
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| 181 | xMax=xoffset+fRmax; |
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| 182 | if (pVoxelLimit.IsXLimited()) |
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| 183 | { |
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| 184 | if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance) |
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| 185 | || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) ) |
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| 186 | { |
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| 187 | return false; |
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| 188 | } |
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| 189 | else |
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| 190 | { |
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| 191 | if (xMin<pVoxelLimit.GetMinXExtent()) |
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| 192 | { |
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| 193 | xMin=pVoxelLimit.GetMinXExtent(); |
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| 194 | } |
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| 195 | if (xMax>pVoxelLimit.GetMaxXExtent()) |
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| 196 | { |
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| 197 | xMax=pVoxelLimit.GetMaxXExtent(); |
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| 198 | } |
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| 199 | } |
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| 200 | } |
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| 201 | |
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| 202 | yoffset=pTransform.NetTranslation().y(); |
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| 203 | yMin=yoffset-fRmax; |
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| 204 | yMax=yoffset+fRmax; |
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| 205 | if (pVoxelLimit.IsYLimited()) |
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| 206 | { |
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| 207 | if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance) |
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| 208 | || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) ) |
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| 209 | { |
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| 210 | return false; |
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| 211 | } |
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| 212 | else |
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| 213 | { |
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| 214 | if (yMin<pVoxelLimit.GetMinYExtent()) |
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| 215 | { |
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| 216 | yMin=pVoxelLimit.GetMinYExtent(); |
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| 217 | } |
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| 218 | if (yMax>pVoxelLimit.GetMaxYExtent()) |
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| 219 | { |
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| 220 | yMax=pVoxelLimit.GetMaxYExtent(); |
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| 221 | } |
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| 222 | } |
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| 223 | } |
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| 224 | |
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| 225 | zoffset=pTransform.NetTranslation().z(); |
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| 226 | zMin=zoffset-fRmax; |
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| 227 | zMax=zoffset+fRmax; |
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| 228 | if (pVoxelLimit.IsZLimited()) |
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| 229 | { |
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| 230 | if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance) |
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| 231 | || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) ) |
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| 232 | { |
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| 233 | return false; |
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| 234 | } |
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| 235 | else |
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| 236 | { |
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| 237 | if (zMin<pVoxelLimit.GetMinZExtent()) |
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| 238 | { |
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| 239 | zMin=pVoxelLimit.GetMinZExtent(); |
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| 240 | } |
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| 241 | if (zMax>pVoxelLimit.GetMaxZExtent()) |
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| 242 | { |
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| 243 | zMax=pVoxelLimit.GetMaxZExtent(); |
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| 244 | } |
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| 245 | } |
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| 246 | } |
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| 247 | |
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| 248 | // Known to cut sphere |
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| 249 | |
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| 250 | switch (pAxis) |
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| 251 | { |
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| 252 | case kXAxis: |
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| 253 | yoff1=yoffset-yMin; |
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| 254 | yoff2=yMax-yoffset; |
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[1228] | 255 | if ((yoff1>=0) && (yoff2>=0)) |
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[831] | 256 | { |
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| 257 | // Y limits cross max/min x => no change |
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| 258 | // |
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| 259 | pMin=xMin; |
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| 260 | pMax=xMax; |
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| 261 | } |
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| 262 | else |
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| 263 | { |
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| 264 | // Y limits don't cross max/min x => compute max delta x, |
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| 265 | // hence new mins/maxs |
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| 266 | // |
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| 267 | diff1=std::sqrt(fRmax*fRmax-yoff1*yoff1); |
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| 268 | diff2=std::sqrt(fRmax*fRmax-yoff2*yoff2); |
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| 269 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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| 270 | newMin=xoffset-maxDiff; |
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| 271 | newMax=xoffset+maxDiff; |
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| 272 | pMin=(newMin<xMin) ? xMin : newMin; |
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| 273 | pMax=(newMax>xMax) ? xMax : newMax; |
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| 274 | } |
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| 275 | break; |
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| 276 | case kYAxis: |
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| 277 | xoff1=xoffset-xMin; |
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| 278 | xoff2=xMax-xoffset; |
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[1228] | 279 | if ((xoff1>=0) && (xoff2>=0)) |
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[831] | 280 | { |
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| 281 | // X limits cross max/min y => no change |
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| 282 | // |
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| 283 | pMin=yMin; |
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| 284 | pMax=yMax; |
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| 285 | } |
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| 286 | else |
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| 287 | { |
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| 288 | // X limits don't cross max/min y => compute max delta y, |
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| 289 | // hence new mins/maxs |
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| 290 | // |
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| 291 | diff1=std::sqrt(fRmax*fRmax-xoff1*xoff1); |
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| 292 | diff2=std::sqrt(fRmax*fRmax-xoff2*xoff2); |
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| 293 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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| 294 | newMin=yoffset-maxDiff; |
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| 295 | newMax=yoffset+maxDiff; |
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| 296 | pMin=(newMin<yMin) ? yMin : newMin; |
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| 297 | pMax=(newMax>yMax) ? yMax : newMax; |
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| 298 | } |
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| 299 | break; |
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| 300 | case kZAxis: |
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| 301 | pMin=zMin; |
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| 302 | pMax=zMax; |
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| 303 | break; |
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| 304 | default: |
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| 305 | break; |
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| 306 | } |
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| 307 | pMin-=kCarTolerance; |
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| 308 | pMax+=kCarTolerance; |
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| 309 | |
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| 310 | return true; |
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| 311 | } |
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| 312 | else // Transformed cutted sphere |
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| 313 | { |
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| 314 | G4int i,j,noEntries,noBetweenSections; |
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| 315 | G4bool existsAfterClip=false; |
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| 316 | |
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| 317 | // Calculate rotated vertex coordinates |
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| 318 | |
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| 319 | G4ThreeVectorList* vertices; |
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| 320 | G4int noPolygonVertices ; |
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| 321 | vertices=CreateRotatedVertices(pTransform,noPolygonVertices); |
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| 322 | |
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| 323 | pMin=+kInfinity; |
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| 324 | pMax=-kInfinity; |
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| 325 | |
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| 326 | noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections |
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| 327 | noBetweenSections=noEntries-noPolygonVertices; |
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| 328 | |
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| 329 | G4ThreeVectorList ThetaPolygon ; |
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| 330 | for (i=0;i<noEntries;i+=noPolygonVertices) |
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| 331 | { |
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| 332 | for(j=0;j<(noPolygonVertices/2)-1;j++) |
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| 333 | { |
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| 334 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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| 335 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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| 336 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]) ; |
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| 337 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]) ; |
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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 | } |
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| 342 | for (i=0;i<noBetweenSections;i+=noPolygonVertices) |
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| 343 | { |
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| 344 | for(j=0;j<noPolygonVertices-1;j++) |
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| 345 | { |
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| 346 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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| 347 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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| 348 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]) ; |
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| 349 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]) ; |
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| 350 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 351 | ThetaPolygon.clear() ; |
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| 352 | } |
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| 353 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]) ; |
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| 354 | ThetaPolygon.push_back((*vertices)[i]) ; |
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| 355 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]) ; |
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| 356 | ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]) ; |
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| 357 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 358 | ThetaPolygon.clear() ; |
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| 359 | } |
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| 360 | |
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[1228] | 361 | if ((pMin!=kInfinity) || (pMax!=-kInfinity)) |
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[831] | 362 | { |
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| 363 | existsAfterClip=true; |
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| 364 | |
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| 365 | // Add 2*tolerance to avoid precision troubles |
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| 366 | // |
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| 367 | pMin-=kCarTolerance; |
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| 368 | pMax+=kCarTolerance; |
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| 369 | } |
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| 370 | else |
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| 371 | { |
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| 372 | // Check for case where completely enveloping clipping volume |
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| 373 | // If point inside then we are confident that the solid completely |
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| 374 | // envelopes the clipping volume. Hence set min/max extents according |
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| 375 | // to clipping volume extents along the specified axis. |
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| 376 | |
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| 377 | G4ThreeVector clipCentre( |
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| 378 | (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5, |
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| 379 | (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5, |
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| 380 | (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5); |
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| 381 | |
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| 382 | if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside) |
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| 383 | { |
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| 384 | existsAfterClip=true; |
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| 385 | pMin=pVoxelLimit.GetMinExtent(pAxis); |
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| 386 | pMax=pVoxelLimit.GetMaxExtent(pAxis); |
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| 387 | } |
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| 388 | } |
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| 389 | delete vertices; |
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| 390 | return existsAfterClip; |
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| 391 | } |
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| 392 | } |
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| 393 | |
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| 394 | /////////////////////////////////////////////////////////////////////////// |
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| 395 | // |
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| 396 | // Return whether point inside/outside/on surface |
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| 397 | // Split into radius, phi, theta checks |
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[1228] | 398 | // Each check modifies 'in', or returns as approprate |
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[831] | 399 | |
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| 400 | EInside G4Sphere::Inside( const G4ThreeVector& p ) const |
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| 401 | { |
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| 402 | G4double rho,rho2,rad2,tolRMin,tolRMax; |
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| 403 | G4double pPhi,pTheta; |
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[1228] | 404 | EInside in = kOutside; |
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| 405 | static const G4double halfAngTolerance = kAngTolerance*0.5; |
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| 406 | const G4double halfRmaxTolerance = fRmaxTolerance*0.5; |
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| 407 | const G4double halfRminTolerance = fRminTolerance*0.5; |
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| 408 | const G4double Rmax_minus = fRmax - halfRmaxTolerance; |
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| 409 | const G4double Rmin_plus = (fRmin > 0) ? fRmin+halfRminTolerance : 0; |
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[831] | 410 | |
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| 411 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
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| 412 | rad2 = rho2 + p.z()*p.z() ; |
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| 413 | |
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[1228] | 414 | // Check radial surfaces. Sets 'in' |
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[831] | 415 | |
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[1228] | 416 | tolRMin = Rmin_plus; |
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| 417 | tolRMax = Rmax_minus; |
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[831] | 418 | |
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[1228] | 419 | if ( (rad2 <= Rmax_minus*Rmax_minus) && (rad2 >= Rmin_plus*Rmin_plus) ) |
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| 420 | { |
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| 421 | in = kInside; |
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| 422 | } |
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[831] | 423 | else |
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| 424 | { |
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[1228] | 425 | tolRMax = fRmax + halfRmaxTolerance; // outside case |
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| 426 | tolRMin = std::max(fRmin-halfRminTolerance, 0.); // outside case |
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| 427 | if ( (rad2 <= tolRMax*tolRMax) && (rad2 >= tolRMin*tolRMin) ) |
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| 428 | { |
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| 429 | in = kSurface; |
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| 430 | } |
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| 431 | else |
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| 432 | { |
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| 433 | return in = kOutside; |
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| 434 | } |
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[831] | 435 | } |
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| 436 | |
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| 437 | // Phi boundaries : Do not check if it has no phi boundary! |
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| 438 | |
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[1228] | 439 | if ( !fFullPhiSphere && rho2 ) // [fDPhi < twopi] and [p.x or p.y] |
---|
[831] | 440 | { |
---|
| 441 | pPhi = std::atan2(p.y(),p.x()) ; |
---|
| 442 | |
---|
[1228] | 443 | if ( pPhi < fSPhi - halfAngTolerance ) { pPhi += twopi; } |
---|
| 444 | else if ( pPhi > ePhi + halfAngTolerance ) { pPhi -= twopi; } |
---|
[831] | 445 | |
---|
[1228] | 446 | if ( (pPhi < fSPhi - halfAngTolerance) |
---|
| 447 | || (pPhi > ePhi + halfAngTolerance) ) { return in = kOutside; } |
---|
[831] | 448 | |
---|
| 449 | else if (in == kInside) // else it's kSurface anyway already |
---|
| 450 | { |
---|
[1228] | 451 | if ( (pPhi < fSPhi + halfAngTolerance) |
---|
| 452 | || (pPhi > ePhi - halfAngTolerance) ) { in = kSurface; } |
---|
[831] | 453 | } |
---|
| 454 | } |
---|
| 455 | |
---|
| 456 | // Theta bondaries |
---|
| 457 | |
---|
[1228] | 458 | if ( (rho2 || p.z()) && (!fFullThetaSphere) ) |
---|
[831] | 459 | { |
---|
| 460 | rho = std::sqrt(rho2); |
---|
| 461 | pTheta = std::atan2(rho,p.z()); |
---|
| 462 | |
---|
| 463 | if ( in == kInside ) |
---|
| 464 | { |
---|
[1228] | 465 | if ( (pTheta < fSTheta + halfAngTolerance) |
---|
| 466 | || (pTheta > eTheta - halfAngTolerance) ) |
---|
[831] | 467 | { |
---|
[1228] | 468 | if ( (pTheta >= fSTheta - halfAngTolerance) |
---|
| 469 | && (pTheta <= eTheta + halfAngTolerance) ) |
---|
[831] | 470 | { |
---|
[1228] | 471 | in = kSurface; |
---|
[831] | 472 | } |
---|
| 473 | else |
---|
| 474 | { |
---|
[1228] | 475 | in = kOutside; |
---|
[831] | 476 | } |
---|
| 477 | } |
---|
| 478 | } |
---|
| 479 | else |
---|
| 480 | { |
---|
[1228] | 481 | if ( (pTheta < fSTheta - halfAngTolerance) |
---|
| 482 | || (pTheta > eTheta + halfAngTolerance) ) |
---|
[831] | 483 | { |
---|
[1228] | 484 | in = kOutside; |
---|
[831] | 485 | } |
---|
| 486 | } |
---|
| 487 | } |
---|
| 488 | return in; |
---|
| 489 | } |
---|
| 490 | |
---|
| 491 | ///////////////////////////////////////////////////////////////////// |
---|
| 492 | // |
---|
| 493 | // Return unit normal of surface closest to p |
---|
| 494 | // - note if point on z axis, ignore phi divided sides |
---|
| 495 | // - unsafe if point close to z axis a rmin=0 - no explicit checks |
---|
| 496 | |
---|
| 497 | G4ThreeVector G4Sphere::SurfaceNormal( const G4ThreeVector& p ) const |
---|
| 498 | { |
---|
| 499 | G4int noSurfaces = 0; |
---|
| 500 | G4double rho, rho2, rad, pTheta, pPhi=0.; |
---|
| 501 | G4double distRMin = kInfinity; |
---|
| 502 | G4double distSPhi = kInfinity, distEPhi = kInfinity; |
---|
| 503 | G4double distSTheta = kInfinity, distETheta = kInfinity; |
---|
| 504 | G4ThreeVector nR, nPs, nPe, nTs, nTe, nZ(0.,0.,1.); |
---|
| 505 | G4ThreeVector norm, sumnorm(0.,0.,0.); |
---|
| 506 | |
---|
[1228] | 507 | static const G4double halfCarTolerance = 0.5*kCarTolerance; |
---|
| 508 | static const G4double halfAngTolerance = 0.5*kAngTolerance; |
---|
| 509 | |
---|
[831] | 510 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
| 511 | rad = std::sqrt(rho2+p.z()*p.z()); |
---|
| 512 | rho = std::sqrt(rho2); |
---|
| 513 | |
---|
| 514 | G4double distRMax = std::fabs(rad-fRmax); |
---|
| 515 | if (fRmin) distRMin = std::fabs(rad-fRmin); |
---|
| 516 | |
---|
[1228] | 517 | if ( rho && !fFullSphere ) |
---|
[831] | 518 | { |
---|
| 519 | pPhi = std::atan2(p.y(),p.x()); |
---|
| 520 | |
---|
[1228] | 521 | if (pPhi < fSPhi-halfAngTolerance) { pPhi += twopi; } |
---|
| 522 | else if (pPhi > ePhi+halfAngTolerance) { pPhi -= twopi; } |
---|
[831] | 523 | } |
---|
[1228] | 524 | if ( !fFullPhiSphere ) |
---|
[831] | 525 | { |
---|
| 526 | if ( rho ) |
---|
| 527 | { |
---|
[1228] | 528 | distSPhi = std::fabs( pPhi-fSPhi ); |
---|
| 529 | distEPhi = std::fabs( pPhi-ePhi ); |
---|
[831] | 530 | } |
---|
| 531 | else if( !fRmin ) |
---|
| 532 | { |
---|
| 533 | distSPhi = 0.; |
---|
| 534 | distEPhi = 0.; |
---|
| 535 | } |
---|
[1228] | 536 | nPs = G4ThreeVector(sinSPhi,-cosSPhi,0); |
---|
| 537 | nPe = G4ThreeVector(-sinEPhi,cosEPhi,0); |
---|
[831] | 538 | } |
---|
[1228] | 539 | if ( !fFullThetaSphere ) |
---|
[831] | 540 | { |
---|
| 541 | if ( rho ) |
---|
| 542 | { |
---|
| 543 | pTheta = std::atan2(rho,p.z()); |
---|
| 544 | distSTheta = std::fabs(pTheta-fSTheta); |
---|
[1228] | 545 | distETheta = std::fabs(pTheta-eTheta); |
---|
[831] | 546 | |
---|
[1228] | 547 | nTs = G4ThreeVector(-cosSTheta*p.x()/rho, |
---|
| 548 | -cosSTheta*p.y()/rho, |
---|
| 549 | sinSTheta ); |
---|
[850] | 550 | |
---|
[1228] | 551 | nTe = G4ThreeVector( cosETheta*p.x()/rho, |
---|
| 552 | cosETheta*p.y()/rho, |
---|
| 553 | -sinETheta ); |
---|
[831] | 554 | } |
---|
| 555 | else if( !fRmin ) |
---|
| 556 | { |
---|
[850] | 557 | if ( fSTheta ) |
---|
| 558 | { |
---|
| 559 | distSTheta = 0.; |
---|
[1228] | 560 | nTs = G4ThreeVector(0.,0.,-1.); |
---|
[850] | 561 | } |
---|
[1228] | 562 | if ( eTheta < pi ) |
---|
[850] | 563 | { |
---|
| 564 | distETheta = 0.; |
---|
[1228] | 565 | nTe = G4ThreeVector(0.,0.,1.); |
---|
[850] | 566 | } |
---|
[831] | 567 | } |
---|
| 568 | } |
---|
[1228] | 569 | if( rad ) { nR = G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); } |
---|
[831] | 570 | |
---|
[1228] | 571 | if( distRMax <= halfCarTolerance ) |
---|
[831] | 572 | { |
---|
| 573 | noSurfaces ++; |
---|
| 574 | sumnorm += nR; |
---|
| 575 | } |
---|
[1228] | 576 | if( fRmin && (distRMin <= halfCarTolerance) ) |
---|
[831] | 577 | { |
---|
| 578 | noSurfaces ++; |
---|
| 579 | sumnorm -= nR; |
---|
| 580 | } |
---|
[1228] | 581 | if( !fFullPhiSphere ) |
---|
[831] | 582 | { |
---|
[1228] | 583 | if (distSPhi <= halfAngTolerance) |
---|
[831] | 584 | { |
---|
| 585 | noSurfaces ++; |
---|
| 586 | sumnorm += nPs; |
---|
| 587 | } |
---|
[1228] | 588 | if (distEPhi <= halfAngTolerance) |
---|
[831] | 589 | { |
---|
| 590 | noSurfaces ++; |
---|
| 591 | sumnorm += nPe; |
---|
| 592 | } |
---|
| 593 | } |
---|
[1228] | 594 | if ( !fFullThetaSphere ) |
---|
[831] | 595 | { |
---|
[1228] | 596 | if ((distSTheta <= halfAngTolerance) && (fSTheta > 0.)) |
---|
[831] | 597 | { |
---|
| 598 | noSurfaces ++; |
---|
[1228] | 599 | if ((rad <= halfCarTolerance) && fFullPhiSphere) { sumnorm += nZ; } |
---|
| 600 | else { sumnorm += nTs; } |
---|
[831] | 601 | } |
---|
[1228] | 602 | if ((distETheta <= halfAngTolerance) && (eTheta < pi)) |
---|
[831] | 603 | { |
---|
| 604 | noSurfaces ++; |
---|
[1228] | 605 | if ((rad <= halfCarTolerance) && fFullPhiSphere) { sumnorm -= nZ; } |
---|
| 606 | else { sumnorm += nTe; } |
---|
| 607 | if(sumnorm.z() == 0.) { sumnorm += nZ; } |
---|
[831] | 608 | } |
---|
| 609 | } |
---|
| 610 | if ( noSurfaces == 0 ) |
---|
| 611 | { |
---|
| 612 | #ifdef G4CSGDEBUG |
---|
| 613 | G4Exception("G4Sphere::SurfaceNormal(p)", "Notification", JustWarning, |
---|
| 614 | "Point p is not on surface !?" ); |
---|
| 615 | #endif |
---|
| 616 | norm = ApproxSurfaceNormal(p); |
---|
| 617 | } |
---|
[1228] | 618 | else if ( noSurfaces == 1 ) { norm = sumnorm; } |
---|
| 619 | else { norm = sumnorm.unit(); } |
---|
[831] | 620 | return norm; |
---|
| 621 | } |
---|
| 622 | |
---|
| 623 | |
---|
| 624 | ///////////////////////////////////////////////////////////////////////////////////////////// |
---|
| 625 | // |
---|
| 626 | // Algorithm for SurfaceNormal() following the original specification |
---|
| 627 | // for points not on the surface |
---|
| 628 | |
---|
| 629 | G4ThreeVector G4Sphere::ApproxSurfaceNormal( const G4ThreeVector& p ) const |
---|
| 630 | { |
---|
| 631 | ENorm side; |
---|
| 632 | G4ThreeVector norm; |
---|
| 633 | G4double rho,rho2,rad,pPhi,pTheta; |
---|
| 634 | G4double distRMin,distRMax,distSPhi,distEPhi, |
---|
| 635 | distSTheta,distETheta,distMin; |
---|
| 636 | |
---|
| 637 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
| 638 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
| 639 | rho=std::sqrt(rho2); |
---|
| 640 | |
---|
| 641 | // |
---|
| 642 | // Distance to r shells |
---|
| 643 | // |
---|
| 644 | |
---|
| 645 | distRMax=std::fabs(rad-fRmax); |
---|
| 646 | if (fRmin) |
---|
| 647 | { |
---|
| 648 | distRMin=std::fabs(rad-fRmin); |
---|
| 649 | |
---|
| 650 | if (distRMin<distRMax) |
---|
| 651 | { |
---|
| 652 | distMin=distRMin; |
---|
| 653 | side=kNRMin; |
---|
| 654 | } |
---|
| 655 | else |
---|
| 656 | { |
---|
| 657 | distMin=distRMax; |
---|
| 658 | side=kNRMax; |
---|
| 659 | } |
---|
| 660 | } |
---|
| 661 | else |
---|
| 662 | { |
---|
| 663 | distMin=distRMax; |
---|
| 664 | side=kNRMax; |
---|
| 665 | } |
---|
| 666 | |
---|
| 667 | // |
---|
| 668 | // Distance to phi planes |
---|
| 669 | // |
---|
| 670 | // Protected against (0,0,z) |
---|
| 671 | |
---|
| 672 | pPhi = std::atan2(p.y(),p.x()); |
---|
[1228] | 673 | if (pPhi<0) { pPhi += twopi; } |
---|
[831] | 674 | |
---|
[1228] | 675 | if (!fFullPhiSphere && rho) |
---|
[831] | 676 | { |
---|
| 677 | if (fSPhi<0) |
---|
| 678 | { |
---|
| 679 | distSPhi=std::fabs(pPhi-(fSPhi+twopi))*rho; |
---|
| 680 | } |
---|
| 681 | else |
---|
| 682 | { |
---|
| 683 | distSPhi=std::fabs(pPhi-fSPhi)*rho; |
---|
| 684 | } |
---|
| 685 | |
---|
| 686 | distEPhi=std::fabs(pPhi-fSPhi-fDPhi)*rho; |
---|
| 687 | |
---|
| 688 | // Find new minimum |
---|
| 689 | // |
---|
| 690 | if (distSPhi<distEPhi) |
---|
| 691 | { |
---|
| 692 | if (distSPhi<distMin) |
---|
| 693 | { |
---|
| 694 | distMin=distSPhi; |
---|
| 695 | side=kNSPhi; |
---|
| 696 | } |
---|
| 697 | } |
---|
| 698 | else |
---|
| 699 | { |
---|
| 700 | if (distEPhi<distMin) |
---|
| 701 | { |
---|
| 702 | distMin=distEPhi; |
---|
| 703 | side=kNEPhi; |
---|
| 704 | } |
---|
| 705 | } |
---|
| 706 | } |
---|
| 707 | |
---|
| 708 | // |
---|
| 709 | // Distance to theta planes |
---|
| 710 | // |
---|
| 711 | |
---|
[1228] | 712 | if (!fFullThetaSphere && rad) |
---|
[831] | 713 | { |
---|
| 714 | pTheta=std::atan2(rho,p.z()); |
---|
| 715 | distSTheta=std::fabs(pTheta-fSTheta)*rad; |
---|
| 716 | distETheta=std::fabs(pTheta-fSTheta-fDTheta)*rad; |
---|
| 717 | |
---|
| 718 | // Find new minimum |
---|
| 719 | // |
---|
| 720 | if (distSTheta<distETheta) |
---|
| 721 | { |
---|
| 722 | if (distSTheta<distMin) |
---|
| 723 | { |
---|
| 724 | distMin = distSTheta ; |
---|
| 725 | side = kNSTheta ; |
---|
| 726 | } |
---|
| 727 | } |
---|
| 728 | else |
---|
| 729 | { |
---|
| 730 | if (distETheta<distMin) |
---|
| 731 | { |
---|
| 732 | distMin = distETheta ; |
---|
| 733 | side = kNETheta ; |
---|
| 734 | } |
---|
| 735 | } |
---|
| 736 | } |
---|
| 737 | |
---|
| 738 | switch (side) |
---|
| 739 | { |
---|
| 740 | case kNRMin: // Inner radius |
---|
| 741 | norm=G4ThreeVector(-p.x()/rad,-p.y()/rad,-p.z()/rad); |
---|
| 742 | break; |
---|
| 743 | case kNRMax: // Outer radius |
---|
| 744 | norm=G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); |
---|
| 745 | break; |
---|
| 746 | case kNSPhi: |
---|
[1228] | 747 | norm=G4ThreeVector(sinSPhi,-cosSPhi,0); |
---|
[831] | 748 | break; |
---|
| 749 | case kNEPhi: |
---|
[1228] | 750 | norm=G4ThreeVector(-sinEPhi,cosEPhi,0); |
---|
[831] | 751 | break; |
---|
| 752 | case kNSTheta: |
---|
[1228] | 753 | norm=G4ThreeVector(-cosSTheta*std::cos(pPhi), |
---|
| 754 | -cosSTheta*std::sin(pPhi), |
---|
| 755 | sinSTheta ); |
---|
[831] | 756 | break; |
---|
| 757 | case kNETheta: |
---|
[1228] | 758 | norm=G4ThreeVector( cosETheta*std::cos(pPhi), |
---|
| 759 | cosETheta*std::sin(pPhi), |
---|
| 760 | -sinETheta ); |
---|
[831] | 761 | break; |
---|
| 762 | default: |
---|
| 763 | DumpInfo(); |
---|
[1228] | 764 | G4Exception("G4Sphere::ApproxSurfaceNormal()","Notification",JustWarning, |
---|
[831] | 765 | "Undefined side for valid surface normal to solid."); |
---|
| 766 | break; |
---|
[1228] | 767 | } |
---|
[831] | 768 | |
---|
| 769 | return norm; |
---|
| 770 | } |
---|
| 771 | |
---|
| 772 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 773 | // |
---|
| 774 | // Calculate distance to shape from outside, along normalised vector |
---|
| 775 | // - return kInfinity if no intersection, or intersection distance <= tolerance |
---|
| 776 | // |
---|
| 777 | // -> If point is outside outer radius, compute intersection with rmax |
---|
| 778 | // - if no intersection return |
---|
| 779 | // - if valid phi,theta return intersection Dist |
---|
| 780 | // |
---|
| 781 | // -> If shell, compute intersection with inner radius, taking largest +ve root |
---|
| 782 | // - if valid phi,theta, save intersection |
---|
| 783 | // |
---|
| 784 | // -> If phi segmented, compute intersection with phi half planes |
---|
| 785 | // - if valid intersection(r,theta), return smallest intersection of |
---|
| 786 | // inner shell & phi intersection |
---|
| 787 | // |
---|
| 788 | // -> If theta segmented, compute intersection with theta cones |
---|
| 789 | // - if valid intersection(r,phi), return smallest intersection of |
---|
| 790 | // inner shell & theta intersection |
---|
| 791 | // |
---|
| 792 | // |
---|
| 793 | // NOTE: |
---|
| 794 | // - `if valid' (above) implies tolerant checking of intersection points |
---|
| 795 | // |
---|
| 796 | // OPT: |
---|
| 797 | // Move tolIO/ORmin/RMax2 precalcs to where they are needed - |
---|
| 798 | // not required for most cases. |
---|
| 799 | // Avoid atan2 for non theta cut G4Sphere. |
---|
| 800 | |
---|
| 801 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p, |
---|
| 802 | const G4ThreeVector& v ) const |
---|
| 803 | { |
---|
| 804 | G4double snxt = kInfinity ; // snxt = default return value |
---|
| 805 | G4double rho2, rad2, pDotV2d, pDotV3d, pTheta ; |
---|
| 806 | G4double tolSTheta=0., tolETheta=0. ; |
---|
[1228] | 807 | const G4double dRmax = 100.*fRmax; |
---|
[831] | 808 | |
---|
[1228] | 809 | static const G4double halfCarTolerance = kCarTolerance*0.5; |
---|
| 810 | static const G4double halfAngTolerance = kAngTolerance*0.5; |
---|
| 811 | const G4double halfRmaxTolerance = fRmaxTolerance*0.5; |
---|
| 812 | const G4double halfRminTolerance = fRminTolerance*0.5; |
---|
| 813 | const G4double tolORMin2 = (fRmin>halfRminTolerance) |
---|
| 814 | ? (fRmin-halfRminTolerance)*(fRmin-halfRminTolerance) : 0; |
---|
| 815 | const G4double tolIRMin2 = |
---|
| 816 | (fRmin+halfRminTolerance)*(fRmin+halfRminTolerance); |
---|
| 817 | const G4double tolORMax2 = |
---|
| 818 | (fRmax+halfRmaxTolerance)*(fRmax+halfRmaxTolerance); |
---|
| 819 | const G4double tolIRMax2 = |
---|
| 820 | (fRmax-halfRmaxTolerance)*(fRmax-halfRmaxTolerance); |
---|
| 821 | |
---|
[831] | 822 | // Intersection point |
---|
[1228] | 823 | // |
---|
[831] | 824 | G4double xi, yi, zi, rhoi, rhoi2, radi2, iTheta ; |
---|
| 825 | |
---|
| 826 | // Phi intersection |
---|
[1228] | 827 | // |
---|
| 828 | G4double Comp ; |
---|
[831] | 829 | |
---|
[1228] | 830 | // Phi precalcs |
---|
| 831 | // |
---|
[831] | 832 | G4double Dist, cosPsi ; |
---|
| 833 | |
---|
[1228] | 834 | // Theta precalcs |
---|
| 835 | // |
---|
[831] | 836 | G4double dist2STheta, dist2ETheta ; |
---|
| 837 | G4double t1, t2, b, c, d2, d, s = kInfinity ; |
---|
| 838 | |
---|
| 839 | // General Precalcs |
---|
[1228] | 840 | // |
---|
[831] | 841 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
---|
| 842 | rad2 = rho2 + p.z()*p.z() ; |
---|
| 843 | pTheta = std::atan2(std::sqrt(rho2),p.z()) ; |
---|
| 844 | |
---|
| 845 | pDotV2d = p.x()*v.x() + p.y()*v.y() ; |
---|
| 846 | pDotV3d = pDotV2d + p.z()*v.z() ; |
---|
| 847 | |
---|
| 848 | // Theta precalcs |
---|
[1228] | 849 | // |
---|
| 850 | if (!fFullThetaSphere) |
---|
[831] | 851 | { |
---|
[1228] | 852 | tolSTheta = fSTheta - halfAngTolerance ; |
---|
| 853 | tolETheta = eTheta + halfAngTolerance ; |
---|
[831] | 854 | } |
---|
| 855 | |
---|
| 856 | // Outer spherical shell intersection |
---|
| 857 | // - Only if outside tolerant fRmax |
---|
| 858 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
| 859 | // - No intersect -> no intersection with G4Sphere |
---|
| 860 | // |
---|
| 861 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
| 862 | // |
---|
| 863 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
| 864 | // |
---|
| 865 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
| 866 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
| 867 | // |
---|
| 868 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
| 869 | |
---|
| 870 | c = rad2 - fRmax*fRmax ; |
---|
| 871 | |
---|
[1228] | 872 | if (c > fRmaxTolerance*fRmax) |
---|
[831] | 873 | { |
---|
[1228] | 874 | // If outside tolerant boundary of outer G4Sphere |
---|
| 875 | // [should be std::sqrt(rad2)-fRmax > halfRmaxTolerance] |
---|
[831] | 876 | |
---|
| 877 | d2 = pDotV3d*pDotV3d - c ; |
---|
| 878 | |
---|
| 879 | if ( d2 >= 0 ) |
---|
| 880 | { |
---|
| 881 | s = -pDotV3d - std::sqrt(d2) ; |
---|
| 882 | |
---|
| 883 | if (s >= 0 ) |
---|
| 884 | { |
---|
[1228] | 885 | if ( s>dRmax ) // Avoid rounding errors due to precision issues seen on |
---|
| 886 | { // 64 bits systems. Split long distances and recompute |
---|
| 887 | G4double fTerm = s-std::fmod(s,dRmax); |
---|
| 888 | s = fTerm + DistanceToIn(p+fTerm*v,v); |
---|
| 889 | } |
---|
[831] | 890 | xi = p.x() + s*v.x() ; |
---|
| 891 | yi = p.y() + s*v.y() ; |
---|
| 892 | rhoi = std::sqrt(xi*xi + yi*yi) ; |
---|
| 893 | |
---|
[1228] | 894 | if (!fFullPhiSphere && rhoi) // Check phi intersection |
---|
[831] | 895 | { |
---|
| 896 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
| 897 | |
---|
| 898 | if (cosPsi >= cosHDPhiOT) |
---|
| 899 | { |
---|
[1228] | 900 | if (!fFullThetaSphere) // Check theta intersection |
---|
[831] | 901 | { |
---|
| 902 | zi = p.z() + s*v.z() ; |
---|
| 903 | |
---|
| 904 | // rhoi & zi can never both be 0 |
---|
| 905 | // (=>intersect at origin =>fRmax=0) |
---|
| 906 | // |
---|
| 907 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 908 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 909 | { |
---|
| 910 | return snxt = s ; |
---|
| 911 | } |
---|
| 912 | } |
---|
| 913 | else |
---|
| 914 | { |
---|
| 915 | return snxt=s; |
---|
| 916 | } |
---|
| 917 | } |
---|
| 918 | } |
---|
| 919 | else |
---|
| 920 | { |
---|
[1228] | 921 | if (!fFullThetaSphere) // Check theta intersection |
---|
[831] | 922 | { |
---|
| 923 | zi = p.z() + s*v.z() ; |
---|
| 924 | |
---|
| 925 | // rhoi & zi can never both be 0 |
---|
| 926 | // (=>intersect at origin => fRmax=0 !) |
---|
| 927 | // |
---|
| 928 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 929 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 930 | { |
---|
| 931 | return snxt=s; |
---|
| 932 | } |
---|
| 933 | } |
---|
| 934 | else |
---|
| 935 | { |
---|
| 936 | return snxt = s ; |
---|
| 937 | } |
---|
| 938 | } |
---|
| 939 | } |
---|
| 940 | } |
---|
| 941 | else // No intersection with G4Sphere |
---|
| 942 | { |
---|
| 943 | return snxt=kInfinity; |
---|
| 944 | } |
---|
| 945 | } |
---|
| 946 | else |
---|
| 947 | { |
---|
| 948 | // Inside outer radius |
---|
| 949 | // check not inside, and heading through G4Sphere (-> 0 to in) |
---|
| 950 | |
---|
| 951 | d2 = pDotV3d*pDotV3d - c ; |
---|
| 952 | |
---|
[1228] | 953 | if ( (rad2 > tolIRMax2) |
---|
| 954 | && ( (d2 >= fRmaxTolerance*fRmax) && (pDotV3d < 0) ) ) |
---|
[831] | 955 | { |
---|
[1228] | 956 | if (!fFullPhiSphere) |
---|
[831] | 957 | { |
---|
| 958 | // Use inner phi tolerant boundary -> if on tolerant |
---|
| 959 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
| 960 | |
---|
| 961 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 962 | |
---|
| 963 | if (cosPsi>=cosHDPhiIT) |
---|
| 964 | { |
---|
| 965 | // inside radii, delta r -ve, inside phi |
---|
| 966 | |
---|
[1228] | 967 | if ( !fFullThetaSphere ) |
---|
[831] | 968 | { |
---|
| 969 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 970 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 971 | { |
---|
| 972 | return snxt=0; |
---|
| 973 | } |
---|
| 974 | } |
---|
| 975 | else // strictly inside Theta in both cases |
---|
| 976 | { |
---|
| 977 | return snxt=0; |
---|
| 978 | } |
---|
| 979 | } |
---|
| 980 | } |
---|
| 981 | else |
---|
| 982 | { |
---|
[1228] | 983 | if ( !fFullThetaSphere ) |
---|
[831] | 984 | { |
---|
| 985 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 986 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 987 | { |
---|
| 988 | return snxt=0; |
---|
| 989 | } |
---|
| 990 | } |
---|
| 991 | else // strictly inside Theta in both cases |
---|
| 992 | { |
---|
| 993 | return snxt=0; |
---|
| 994 | } |
---|
| 995 | } |
---|
| 996 | } |
---|
| 997 | } |
---|
| 998 | |
---|
| 999 | // Inner spherical shell intersection |
---|
| 1000 | // - Always farthest root, because would have passed through outer |
---|
| 1001 | // surface first. |
---|
[1228] | 1002 | // - Tolerant check if travelling through solid |
---|
[831] | 1003 | |
---|
| 1004 | if (fRmin) |
---|
| 1005 | { |
---|
| 1006 | c = rad2 - fRmin*fRmin ; |
---|
| 1007 | d2 = pDotV3d*pDotV3d - c ; |
---|
| 1008 | |
---|
| 1009 | // Within tolerance inner radius of inner G4Sphere |
---|
| 1010 | // Check for immediate entry/already inside and travelling outwards |
---|
| 1011 | |
---|
[1228] | 1012 | if ( (c > -halfRminTolerance) && (rad2 < tolIRMin2) |
---|
| 1013 | && ( (d2 < fRmin*kCarTolerance) || (pDotV3d >= 0) ) ) |
---|
[831] | 1014 | { |
---|
[1228] | 1015 | if ( !fFullPhiSphere ) |
---|
[831] | 1016 | { |
---|
| 1017 | // Use inner phi tolerant boundary -> if on tolerant |
---|
| 1018 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
| 1019 | |
---|
| 1020 | cosPsi = (p.x()*cosCPhi+p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1021 | if (cosPsi >= cosHDPhiIT) |
---|
| 1022 | { |
---|
| 1023 | // inside radii, delta r -ve, inside phi |
---|
| 1024 | // |
---|
[1228] | 1025 | if ( !fFullThetaSphere ) |
---|
[831] | 1026 | { |
---|
| 1027 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 1028 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 1029 | { |
---|
| 1030 | return snxt=0; |
---|
| 1031 | } |
---|
| 1032 | } |
---|
| 1033 | else |
---|
| 1034 | { |
---|
| 1035 | return snxt = 0 ; |
---|
| 1036 | } |
---|
| 1037 | } |
---|
| 1038 | } |
---|
| 1039 | else |
---|
| 1040 | { |
---|
[1228] | 1041 | if ( !fFullThetaSphere ) |
---|
[831] | 1042 | { |
---|
| 1043 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 1044 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 1045 | { |
---|
| 1046 | return snxt = 0 ; |
---|
| 1047 | } |
---|
| 1048 | } |
---|
| 1049 | else |
---|
| 1050 | { |
---|
| 1051 | return snxt=0; |
---|
| 1052 | } |
---|
| 1053 | } |
---|
| 1054 | } |
---|
| 1055 | else // Not special tolerant case |
---|
| 1056 | { |
---|
| 1057 | if (d2 >= 0) |
---|
| 1058 | { |
---|
| 1059 | s = -pDotV3d + std::sqrt(d2) ; |
---|
[1228] | 1060 | if ( s >= halfRminTolerance ) // It was >= 0 ?? |
---|
[831] | 1061 | { |
---|
| 1062 | xi = p.x() + s*v.x() ; |
---|
| 1063 | yi = p.y() + s*v.y() ; |
---|
| 1064 | rhoi = std::sqrt(xi*xi+yi*yi) ; |
---|
| 1065 | |
---|
[1228] | 1066 | if ( !fFullPhiSphere && rhoi ) // Check phi intersection |
---|
[831] | 1067 | { |
---|
| 1068 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
| 1069 | |
---|
| 1070 | if (cosPsi >= cosHDPhiOT) |
---|
| 1071 | { |
---|
[1228] | 1072 | if ( !fFullThetaSphere ) // Check theta intersection |
---|
[831] | 1073 | { |
---|
| 1074 | zi = p.z() + s*v.z() ; |
---|
| 1075 | |
---|
| 1076 | // rhoi & zi can never both be 0 |
---|
| 1077 | // (=>intersect at origin =>fRmax=0) |
---|
| 1078 | // |
---|
| 1079 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 1080 | if ( (iTheta >= tolSTheta) && (iTheta<=tolETheta) ) |
---|
| 1081 | { |
---|
| 1082 | snxt = s ; |
---|
| 1083 | } |
---|
| 1084 | } |
---|
| 1085 | else |
---|
| 1086 | { |
---|
| 1087 | snxt=s; |
---|
| 1088 | } |
---|
| 1089 | } |
---|
| 1090 | } |
---|
| 1091 | else |
---|
| 1092 | { |
---|
[1228] | 1093 | if ( !fFullThetaSphere ) // Check theta intersection |
---|
[831] | 1094 | { |
---|
| 1095 | zi = p.z() + s*v.z() ; |
---|
| 1096 | |
---|
| 1097 | // rhoi & zi can never both be 0 |
---|
| 1098 | // (=>intersect at origin => fRmax=0 !) |
---|
| 1099 | // |
---|
| 1100 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 1101 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1102 | { |
---|
[1228] | 1103 | snxt = s; |
---|
[831] | 1104 | } |
---|
| 1105 | } |
---|
| 1106 | else |
---|
| 1107 | { |
---|
[1228] | 1108 | snxt = s; |
---|
[831] | 1109 | } |
---|
| 1110 | } |
---|
| 1111 | } |
---|
| 1112 | } |
---|
| 1113 | } |
---|
| 1114 | } |
---|
| 1115 | |
---|
| 1116 | // Phi segment intersection |
---|
| 1117 | // |
---|
| 1118 | // o Tolerant of points inside phi planes by up to kCarTolerance*0.5 |
---|
| 1119 | // |
---|
| 1120 | // o NOTE: Large duplication of code between sphi & ephi checks |
---|
| 1121 | // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane |
---|
| 1122 | // intersection check <=0 -> >=0 |
---|
| 1123 | // -> Should use some form of loop Construct |
---|
| 1124 | // |
---|
[1228] | 1125 | if ( !fFullPhiSphere ) |
---|
[831] | 1126 | { |
---|
[1228] | 1127 | // First phi surface ('S'tarting phi) |
---|
[831] | 1128 | // Comp = Component in outwards normal dirn |
---|
| 1129 | // |
---|
[1228] | 1130 | Comp = v.x()*sinSPhi - v.y()*cosSPhi ; |
---|
[831] | 1131 | |
---|
| 1132 | if ( Comp < 0 ) |
---|
| 1133 | { |
---|
| 1134 | Dist = p.y()*cosSPhi - p.x()*sinSPhi ; |
---|
| 1135 | |
---|
[1228] | 1136 | if (Dist < halfCarTolerance) |
---|
[831] | 1137 | { |
---|
| 1138 | s = Dist/Comp ; |
---|
| 1139 | |
---|
| 1140 | if (s < snxt) |
---|
| 1141 | { |
---|
| 1142 | if ( s > 0 ) |
---|
| 1143 | { |
---|
| 1144 | xi = p.x() + s*v.x() ; |
---|
| 1145 | yi = p.y() + s*v.y() ; |
---|
| 1146 | zi = p.z() + s*v.z() ; |
---|
| 1147 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1148 | radi2 = rhoi2 + zi*zi ; |
---|
| 1149 | } |
---|
| 1150 | else |
---|
| 1151 | { |
---|
| 1152 | s = 0 ; |
---|
| 1153 | xi = p.x() ; |
---|
| 1154 | yi = p.y() ; |
---|
| 1155 | zi = p.z() ; |
---|
| 1156 | rhoi2 = rho2 ; |
---|
| 1157 | radi2 = rad2 ; |
---|
| 1158 | } |
---|
| 1159 | if ( (radi2 <= tolORMax2) |
---|
| 1160 | && (radi2 >= tolORMin2) |
---|
| 1161 | && ((yi*cosCPhi-xi*sinCPhi) <= 0) ) |
---|
| 1162 | { |
---|
| 1163 | // Check theta intersection |
---|
| 1164 | // rhoi & zi can never both be 0 |
---|
| 1165 | // (=>intersect at origin =>fRmax=0) |
---|
| 1166 | // |
---|
[1228] | 1167 | if ( !fFullThetaSphere ) |
---|
[831] | 1168 | { |
---|
| 1169 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
| 1170 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1171 | { |
---|
| 1172 | // r and theta intersections good |
---|
| 1173 | // - check intersecting with correct half-plane |
---|
| 1174 | |
---|
| 1175 | if ((yi*cosCPhi-xi*sinCPhi) <= 0) |
---|
| 1176 | { |
---|
| 1177 | snxt = s ; |
---|
| 1178 | } |
---|
| 1179 | } |
---|
| 1180 | } |
---|
| 1181 | else |
---|
| 1182 | { |
---|
| 1183 | snxt = s ; |
---|
| 1184 | } |
---|
| 1185 | } |
---|
| 1186 | } |
---|
| 1187 | } |
---|
| 1188 | } |
---|
| 1189 | |
---|
[1228] | 1190 | // Second phi surface ('E'nding phi) |
---|
| 1191 | // Component in outwards normal dirn |
---|
[831] | 1192 | |
---|
[1228] | 1193 | Comp = -( v.x()*sinEPhi-v.y()*cosEPhi ) ; |
---|
[831] | 1194 | |
---|
| 1195 | if (Comp < 0) |
---|
| 1196 | { |
---|
| 1197 | Dist = -(p.y()*cosEPhi-p.x()*sinEPhi) ; |
---|
[1228] | 1198 | if ( Dist < halfCarTolerance ) |
---|
[831] | 1199 | { |
---|
| 1200 | s = Dist/Comp ; |
---|
| 1201 | |
---|
| 1202 | if ( s < snxt ) |
---|
| 1203 | { |
---|
| 1204 | if (s > 0) |
---|
| 1205 | { |
---|
| 1206 | xi = p.x() + s*v.x() ; |
---|
| 1207 | yi = p.y() + s*v.y() ; |
---|
| 1208 | zi = p.z() + s*v.z() ; |
---|
| 1209 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1210 | radi2 = rhoi2 + zi*zi ; |
---|
| 1211 | } |
---|
| 1212 | else |
---|
| 1213 | { |
---|
| 1214 | s = 0 ; |
---|
| 1215 | xi = p.x() ; |
---|
| 1216 | yi = p.y() ; |
---|
| 1217 | zi = p.z() ; |
---|
| 1218 | rhoi2 = rho2 ; |
---|
| 1219 | radi2 = rad2 ; |
---|
[1228] | 1220 | } |
---|
| 1221 | if ( (radi2 <= tolORMax2) |
---|
[831] | 1222 | && (radi2 >= tolORMin2) |
---|
| 1223 | && ((yi*cosCPhi-xi*sinCPhi) >= 0) ) |
---|
| 1224 | { |
---|
| 1225 | // Check theta intersection |
---|
| 1226 | // rhoi & zi can never both be 0 |
---|
| 1227 | // (=>intersect at origin =>fRmax=0) |
---|
| 1228 | // |
---|
[1228] | 1229 | if ( !fFullThetaSphere ) |
---|
[831] | 1230 | { |
---|
| 1231 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
| 1232 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1233 | { |
---|
| 1234 | // r and theta intersections good |
---|
| 1235 | // - check intersecting with correct half-plane |
---|
| 1236 | |
---|
| 1237 | if ((yi*cosCPhi-xi*sinCPhi) >= 0) |
---|
| 1238 | { |
---|
| 1239 | snxt = s ; |
---|
| 1240 | } |
---|
| 1241 | } |
---|
| 1242 | } |
---|
| 1243 | else |
---|
| 1244 | { |
---|
| 1245 | snxt = s ; |
---|
| 1246 | } |
---|
| 1247 | } |
---|
| 1248 | } |
---|
| 1249 | } |
---|
| 1250 | } |
---|
| 1251 | } |
---|
| 1252 | |
---|
| 1253 | // Theta segment intersection |
---|
| 1254 | |
---|
[1228] | 1255 | if ( !fFullThetaSphere ) |
---|
[831] | 1256 | { |
---|
| 1257 | |
---|
| 1258 | // Intersection with theta surfaces |
---|
| 1259 | // Known failure cases: |
---|
| 1260 | // o Inside tolerance of stheta surface, skim |
---|
| 1261 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
| 1262 | // |
---|
| 1263 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
| 1264 | // |
---|
| 1265 | // o start/end theta is exactly pi/2 |
---|
| 1266 | // Intersections with cones |
---|
| 1267 | // |
---|
| 1268 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
| 1269 | // |
---|
| 1270 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
| 1271 | // |
---|
| 1272 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
| 1273 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
| 1274 | // |
---|
| 1275 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
| 1276 | |
---|
| 1277 | if (fSTheta) |
---|
| 1278 | { |
---|
| 1279 | dist2STheta = rho2 - p.z()*p.z()*tanSTheta2 ; |
---|
| 1280 | } |
---|
| 1281 | else |
---|
| 1282 | { |
---|
| 1283 | dist2STheta = kInfinity ; |
---|
| 1284 | } |
---|
[1228] | 1285 | if ( eTheta < pi ) |
---|
[831] | 1286 | { |
---|
| 1287 | dist2ETheta=rho2-p.z()*p.z()*tanETheta2; |
---|
| 1288 | } |
---|
[1228] | 1289 | else |
---|
[831] | 1290 | { |
---|
| 1291 | dist2ETheta=kInfinity; |
---|
| 1292 | } |
---|
[1228] | 1293 | if ( pTheta < tolSTheta ) |
---|
[831] | 1294 | { |
---|
| 1295 | // Inside (theta<stheta-tol) s theta cone |
---|
| 1296 | // First root of stheta cone, second if first root -ve |
---|
| 1297 | |
---|
| 1298 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1299 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
[1228] | 1300 | if (t1) |
---|
| 1301 | { |
---|
| 1302 | b = t2/t1 ; |
---|
| 1303 | c = dist2STheta/t1 ; |
---|
| 1304 | d2 = b*b - c ; |
---|
[831] | 1305 | |
---|
[1228] | 1306 | if ( d2 >= 0 ) |
---|
[831] | 1307 | { |
---|
[1228] | 1308 | d = std::sqrt(d2) ; |
---|
| 1309 | s = -b - d ; // First root |
---|
[850] | 1310 | zi = p.z() + s*v.z(); |
---|
[1228] | 1311 | |
---|
| 1312 | if ( (s < 0) || (zi*(fSTheta - halfpi) > 0) ) |
---|
[831] | 1313 | { |
---|
[1228] | 1314 | s = -b+d; // Second root |
---|
| 1315 | } |
---|
| 1316 | if ((s >= 0) && (s < snxt)) |
---|
| 1317 | { |
---|
| 1318 | xi = p.x() + s*v.x(); |
---|
| 1319 | yi = p.y() + s*v.y(); |
---|
| 1320 | zi = p.z() + s*v.z(); |
---|
| 1321 | rhoi2 = xi*xi + yi*yi; |
---|
| 1322 | radi2 = rhoi2 + zi*zi; |
---|
| 1323 | if ( (radi2 <= tolORMax2) |
---|
| 1324 | && (radi2 >= tolORMin2) |
---|
| 1325 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
[831] | 1326 | { |
---|
[1228] | 1327 | if ( !fFullPhiSphere && rhoi2 ) // Check phi intersection |
---|
[831] | 1328 | { |
---|
[1228] | 1329 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1330 | if (cosPsi >= cosHDPhiOT) |
---|
| 1331 | { |
---|
| 1332 | snxt = s ; |
---|
| 1333 | } |
---|
| 1334 | } |
---|
| 1335 | else |
---|
| 1336 | { |
---|
[831] | 1337 | snxt = s ; |
---|
| 1338 | } |
---|
| 1339 | } |
---|
| 1340 | } |
---|
| 1341 | } |
---|
| 1342 | } |
---|
| 1343 | |
---|
| 1344 | // Possible intersection with ETheta cone. |
---|
| 1345 | // Second >= 0 root should be considered |
---|
| 1346 | |
---|
[1228] | 1347 | if ( eTheta < pi ) |
---|
[831] | 1348 | { |
---|
| 1349 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1350 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
[1228] | 1351 | if (t1) |
---|
| 1352 | { |
---|
| 1353 | b = t2/t1 ; |
---|
| 1354 | c = dist2ETheta/t1 ; |
---|
| 1355 | d2 = b*b - c ; |
---|
[831] | 1356 | |
---|
[1228] | 1357 | if (d2 >= 0) |
---|
[831] | 1358 | { |
---|
[1228] | 1359 | d = std::sqrt(d2) ; |
---|
| 1360 | s = -b + d ; // Second root |
---|
[831] | 1361 | |
---|
[1228] | 1362 | if ( (s >= 0) && (s < snxt) ) |
---|
[831] | 1363 | { |
---|
[1228] | 1364 | xi = p.x() + s*v.x() ; |
---|
| 1365 | yi = p.y() + s*v.y() ; |
---|
| 1366 | zi = p.z() + s*v.z() ; |
---|
| 1367 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1368 | radi2 = rhoi2 + zi*zi ; |
---|
| 1369 | |
---|
| 1370 | if ( (radi2 <= tolORMax2) |
---|
| 1371 | && (radi2 >= tolORMin2) |
---|
| 1372 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
[831] | 1373 | { |
---|
[1228] | 1374 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
[831] | 1375 | { |
---|
[1228] | 1376 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1377 | if (cosPsi >= cosHDPhiOT) |
---|
| 1378 | { |
---|
| 1379 | snxt = s ; |
---|
| 1380 | } |
---|
| 1381 | } |
---|
| 1382 | else |
---|
| 1383 | { |
---|
[831] | 1384 | snxt = s ; |
---|
| 1385 | } |
---|
| 1386 | } |
---|
| 1387 | } |
---|
| 1388 | } |
---|
| 1389 | } |
---|
| 1390 | } |
---|
| 1391 | } |
---|
[850] | 1392 | else if ( pTheta > tolETheta ) |
---|
| 1393 | { |
---|
| 1394 | // dist2ETheta<-kRadTolerance*0.5 && dist2STheta>0) |
---|
| 1395 | // Inside (theta > etheta+tol) e-theta cone |
---|
[1228] | 1396 | // First root of etheta cone, second if first root 'imaginary' |
---|
[831] | 1397 | |
---|
| 1398 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1399 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
[1228] | 1400 | if (t1) |
---|
| 1401 | { |
---|
| 1402 | b = t2/t1 ; |
---|
| 1403 | c = dist2ETheta/t1 ; |
---|
| 1404 | d2 = b*b - c ; |
---|
[831] | 1405 | |
---|
[1228] | 1406 | if (d2 >= 0) |
---|
[831] | 1407 | { |
---|
[1228] | 1408 | d = std::sqrt(d2) ; |
---|
| 1409 | s = -b - d ; // First root |
---|
| 1410 | zi = p.z() + s*v.z(); |
---|
[831] | 1411 | |
---|
[1228] | 1412 | if ( (s < 0) || (zi*(eTheta - halfpi) > 0) ) |
---|
[831] | 1413 | { |
---|
[1228] | 1414 | s = -b + d ; // second root |
---|
| 1415 | } |
---|
| 1416 | if ( (s >= 0) && (s < snxt) ) |
---|
| 1417 | { |
---|
| 1418 | xi = p.x() + s*v.x() ; |
---|
| 1419 | yi = p.y() + s*v.y() ; |
---|
| 1420 | zi = p.z() + s*v.z() ; |
---|
| 1421 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1422 | radi2 = rhoi2 + zi*zi ; |
---|
| 1423 | |
---|
| 1424 | if ( (radi2 <= tolORMax2) |
---|
| 1425 | && (radi2 >= tolORMin2) |
---|
| 1426 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
[831] | 1427 | { |
---|
[1228] | 1428 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
[831] | 1429 | { |
---|
[1228] | 1430 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1431 | if (cosPsi >= cosHDPhiOT) |
---|
| 1432 | { |
---|
| 1433 | snxt = s ; |
---|
| 1434 | } |
---|
| 1435 | } |
---|
| 1436 | else |
---|
| 1437 | { |
---|
[831] | 1438 | snxt = s ; |
---|
| 1439 | } |
---|
| 1440 | } |
---|
| 1441 | } |
---|
| 1442 | } |
---|
| 1443 | } |
---|
| 1444 | |
---|
| 1445 | // Possible intersection with STheta cone. |
---|
| 1446 | // Second >= 0 root should be considered |
---|
| 1447 | |
---|
| 1448 | if ( fSTheta ) |
---|
| 1449 | { |
---|
| 1450 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1451 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
[1228] | 1452 | if (t1) |
---|
| 1453 | { |
---|
| 1454 | b = t2/t1 ; |
---|
| 1455 | c = dist2STheta/t1 ; |
---|
| 1456 | d2 = b*b - c ; |
---|
[831] | 1457 | |
---|
[1228] | 1458 | if (d2 >= 0) |
---|
[831] | 1459 | { |
---|
[1228] | 1460 | d = std::sqrt(d2) ; |
---|
| 1461 | s = -b + d ; // Second root |
---|
[831] | 1462 | |
---|
[1228] | 1463 | if ( (s >= 0) && (s < snxt) ) |
---|
[831] | 1464 | { |
---|
[1228] | 1465 | xi = p.x() + s*v.x() ; |
---|
| 1466 | yi = p.y() + s*v.y() ; |
---|
| 1467 | zi = p.z() + s*v.z() ; |
---|
| 1468 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1469 | radi2 = rhoi2 + zi*zi ; |
---|
| 1470 | |
---|
| 1471 | if ( (radi2 <= tolORMax2) |
---|
| 1472 | && (radi2 >= tolORMin2) |
---|
| 1473 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
[831] | 1474 | { |
---|
[1228] | 1475 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
[831] | 1476 | { |
---|
[1228] | 1477 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1478 | if (cosPsi >= cosHDPhiOT) |
---|
| 1479 | { |
---|
| 1480 | snxt = s ; |
---|
| 1481 | } |
---|
| 1482 | } |
---|
| 1483 | else |
---|
| 1484 | { |
---|
[831] | 1485 | snxt = s ; |
---|
| 1486 | } |
---|
| 1487 | } |
---|
| 1488 | } |
---|
| 1489 | } |
---|
| 1490 | } |
---|
| 1491 | } |
---|
| 1492 | } |
---|
[1228] | 1493 | else if ( (pTheta < tolSTheta + kAngTolerance) |
---|
| 1494 | && (fSTheta > halfAngTolerance) ) |
---|
[831] | 1495 | { |
---|
| 1496 | // In tolerance of stheta |
---|
| 1497 | // If entering through solid [r,phi] => 0 to in |
---|
| 1498 | // else try 2nd root |
---|
| 1499 | |
---|
| 1500 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
[1228] | 1501 | if ( (t2>=0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta<halfpi) |
---|
| 1502 | || (t2<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta>halfpi) |
---|
| 1503 | || (v.z()<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta==halfpi) ) |
---|
[831] | 1504 | { |
---|
[1228] | 1505 | if (!fFullPhiSphere && rho2) // Check phi intersection |
---|
[831] | 1506 | { |
---|
| 1507 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1508 | if (cosPsi >= cosHDPhiIT) |
---|
| 1509 | { |
---|
| 1510 | return 0 ; |
---|
| 1511 | } |
---|
| 1512 | } |
---|
| 1513 | else |
---|
| 1514 | { |
---|
| 1515 | return 0 ; |
---|
| 1516 | } |
---|
| 1517 | } |
---|
| 1518 | |
---|
| 1519 | // Not entering immediately/travelling through |
---|
| 1520 | |
---|
| 1521 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
[1228] | 1522 | if (t1) |
---|
| 1523 | { |
---|
| 1524 | b = t2/t1 ; |
---|
| 1525 | c = dist2STheta/t1 ; |
---|
| 1526 | d2 = b*b - c ; |
---|
[831] | 1527 | |
---|
[1228] | 1528 | if (d2 >= 0) |
---|
[831] | 1529 | { |
---|
[1228] | 1530 | d = std::sqrt(d2) ; |
---|
| 1531 | s = -b + d ; |
---|
| 1532 | if ( (s >= halfCarTolerance) && (s < snxt) && (fSTheta < halfpi) ) |
---|
| 1533 | { // ^^^^^^^^^^^^^^^^^^^^^ shouldn't it be >=0 instead ? |
---|
| 1534 | xi = p.x() + s*v.x() ; |
---|
| 1535 | yi = p.y() + s*v.y() ; |
---|
| 1536 | zi = p.z() + s*v.z() ; |
---|
| 1537 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1538 | radi2 = rhoi2 + zi*zi ; |
---|
[831] | 1539 | |
---|
[1228] | 1540 | if ( (radi2 <= tolORMax2) |
---|
| 1541 | && (radi2 >= tolORMin2) |
---|
| 1542 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
[831] | 1543 | { |
---|
[1228] | 1544 | if ( !fFullPhiSphere && rhoi2 ) // Check phi intersection |
---|
[831] | 1545 | { |
---|
[1228] | 1546 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1547 | if ( cosPsi >= cosHDPhiOT ) |
---|
| 1548 | { |
---|
| 1549 | snxt = s ; |
---|
| 1550 | } |
---|
| 1551 | } |
---|
| 1552 | else |
---|
| 1553 | { |
---|
[831] | 1554 | snxt = s ; |
---|
| 1555 | } |
---|
| 1556 | } |
---|
| 1557 | } |
---|
| 1558 | } |
---|
| 1559 | } |
---|
| 1560 | } |
---|
[1228] | 1561 | else if ((pTheta > tolETheta-kAngTolerance) && (eTheta < pi-kAngTolerance)) |
---|
[831] | 1562 | { |
---|
| 1563 | |
---|
| 1564 | // In tolerance of etheta |
---|
| 1565 | // If entering through solid [r,phi] => 0 to in |
---|
| 1566 | // else try 2nd root |
---|
| 1567 | |
---|
| 1568 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
| 1569 | |
---|
[1228] | 1570 | if ( ((t2<0) && (eTheta < halfpi) |
---|
| 1571 | && (tolIRMin2 < rad2) && (rad2 < tolIRMax2)) |
---|
| 1572 | || ((t2>=0) && (eTheta > halfpi) |
---|
| 1573 | && (tolIRMin2 < rad2) && (rad2 < tolIRMax2)) |
---|
| 1574 | || ((v.z()>0) && (eTheta == halfpi) |
---|
| 1575 | && (tolIRMin2 < rad2) && (rad2 < tolIRMax2)) ) |
---|
[831] | 1576 | { |
---|
[1228] | 1577 | if (!fFullPhiSphere && rho2) // Check phi intersection |
---|
[831] | 1578 | { |
---|
| 1579 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1580 | if (cosPsi >= cosHDPhiIT) |
---|
| 1581 | { |
---|
| 1582 | return 0 ; |
---|
| 1583 | } |
---|
| 1584 | } |
---|
| 1585 | else |
---|
| 1586 | { |
---|
| 1587 | return 0 ; |
---|
| 1588 | } |
---|
| 1589 | } |
---|
| 1590 | |
---|
| 1591 | // Not entering immediately/travelling through |
---|
| 1592 | |
---|
| 1593 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
[1228] | 1594 | if (t1) |
---|
| 1595 | { |
---|
| 1596 | b = t2/t1 ; |
---|
| 1597 | c = dist2ETheta/t1 ; |
---|
| 1598 | d2 = b*b - c ; |
---|
[831] | 1599 | |
---|
[1228] | 1600 | if (d2 >= 0) |
---|
| 1601 | { |
---|
| 1602 | d = std::sqrt(d2) ; |
---|
| 1603 | s = -b + d ; |
---|
[831] | 1604 | |
---|
[1228] | 1605 | if ( (s >= halfCarTolerance) |
---|
| 1606 | && (s < snxt) && (eTheta > halfpi) ) |
---|
| 1607 | { |
---|
| 1608 | xi = p.x() + s*v.x() ; |
---|
| 1609 | yi = p.y() + s*v.y() ; |
---|
| 1610 | zi = p.z() + s*v.z() ; |
---|
| 1611 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1612 | radi2 = rhoi2 + zi*zi ; |
---|
[831] | 1613 | |
---|
[1228] | 1614 | if ( (radi2 <= tolORMax2) |
---|
| 1615 | && (radi2 >= tolORMin2) |
---|
| 1616 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
[831] | 1617 | { |
---|
[1228] | 1618 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
[831] | 1619 | { |
---|
[1228] | 1620 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1621 | if (cosPsi >= cosHDPhiOT) |
---|
| 1622 | { |
---|
| 1623 | snxt = s ; |
---|
| 1624 | } |
---|
| 1625 | } |
---|
| 1626 | else |
---|
| 1627 | { |
---|
[831] | 1628 | snxt = s ; |
---|
| 1629 | } |
---|
| 1630 | } |
---|
| 1631 | } |
---|
[1228] | 1632 | } |
---|
| 1633 | } |
---|
[831] | 1634 | } |
---|
| 1635 | else |
---|
| 1636 | { |
---|
| 1637 | // stheta+tol<theta<etheta-tol |
---|
| 1638 | // For BOTH stheta & etheta check 2nd root for validity [r,phi] |
---|
| 1639 | |
---|
| 1640 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1641 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
[1228] | 1642 | if (t1) |
---|
| 1643 | { |
---|
| 1644 | b = t2/t1; |
---|
| 1645 | c = dist2STheta/t1 ; |
---|
| 1646 | d2 = b*b - c ; |
---|
[831] | 1647 | |
---|
[1228] | 1648 | if (d2 >= 0) |
---|
[831] | 1649 | { |
---|
[1228] | 1650 | d = std::sqrt(d2) ; |
---|
| 1651 | s = -b + d ; // second root |
---|
[831] | 1652 | |
---|
[1228] | 1653 | if ((s >= 0) && (s < snxt)) |
---|
[831] | 1654 | { |
---|
[1228] | 1655 | xi = p.x() + s*v.x() ; |
---|
| 1656 | yi = p.y() + s*v.y() ; |
---|
| 1657 | zi = p.z() + s*v.z() ; |
---|
| 1658 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1659 | radi2 = rhoi2 + zi*zi ; |
---|
| 1660 | |
---|
| 1661 | if ( (radi2 <= tolORMax2) |
---|
| 1662 | && (radi2 >= tolORMin2) |
---|
| 1663 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
[831] | 1664 | { |
---|
[1228] | 1665 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
[831] | 1666 | { |
---|
[1228] | 1667 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1668 | if (cosPsi >= cosHDPhiOT) |
---|
| 1669 | { |
---|
| 1670 | snxt = s ; |
---|
| 1671 | } |
---|
| 1672 | } |
---|
| 1673 | else |
---|
| 1674 | { |
---|
[831] | 1675 | snxt = s ; |
---|
| 1676 | } |
---|
| 1677 | } |
---|
| 1678 | } |
---|
| 1679 | } |
---|
| 1680 | } |
---|
| 1681 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1682 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
[1228] | 1683 | if (t1) |
---|
| 1684 | { |
---|
| 1685 | b = t2/t1 ; |
---|
| 1686 | c = dist2ETheta/t1 ; |
---|
| 1687 | d2 = b*b - c ; |
---|
[831] | 1688 | |
---|
[1228] | 1689 | if (d2 >= 0) |
---|
[831] | 1690 | { |
---|
[1228] | 1691 | d = std::sqrt(d2) ; |
---|
| 1692 | s = -b + d; // second root |
---|
[831] | 1693 | |
---|
[1228] | 1694 | if ((s >= 0) && (s < snxt)) |
---|
[831] | 1695 | { |
---|
[1228] | 1696 | xi = p.x() + s*v.x() ; |
---|
| 1697 | yi = p.y() + s*v.y() ; |
---|
| 1698 | zi = p.z() + s*v.z() ; |
---|
| 1699 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1700 | radi2 = rhoi2 + zi*zi ; |
---|
| 1701 | |
---|
| 1702 | if ( (radi2 <= tolORMax2) |
---|
| 1703 | && (radi2 >= tolORMin2) |
---|
| 1704 | && (zi*(eTheta - halfpi) <= 0) ) |
---|
[831] | 1705 | { |
---|
[1228] | 1706 | if (!fFullPhiSphere && rhoi2) // Check phi intersection |
---|
[831] | 1707 | { |
---|
[1228] | 1708 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1709 | if ( cosPsi >= cosHDPhiOT ) |
---|
| 1710 | { |
---|
| 1711 | snxt=s; |
---|
| 1712 | } |
---|
[831] | 1713 | } |
---|
[1228] | 1714 | else |
---|
| 1715 | { |
---|
| 1716 | snxt = s ; |
---|
| 1717 | } |
---|
[831] | 1718 | } |
---|
| 1719 | } |
---|
| 1720 | } |
---|
| 1721 | } |
---|
| 1722 | } |
---|
| 1723 | } |
---|
| 1724 | return snxt; |
---|
| 1725 | } |
---|
| 1726 | |
---|
| 1727 | ////////////////////////////////////////////////////////////////////// |
---|
| 1728 | // |
---|
| 1729 | // Calculate distance (<= actual) to closest surface of shape from outside |
---|
| 1730 | // - Calculate distance to radial planes |
---|
| 1731 | // - Only to phi planes if outside phi extent |
---|
| 1732 | // - Only to theta planes if outside theta extent |
---|
| 1733 | // - Return 0 if point inside |
---|
| 1734 | |
---|
| 1735 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p ) const |
---|
| 1736 | { |
---|
| 1737 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
[1228] | 1738 | G4double rho2,rds,rho; |
---|
| 1739 | G4double cosPsi; |
---|
[831] | 1740 | G4double pTheta,dTheta1,dTheta2; |
---|
| 1741 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
[1228] | 1742 | rds=std::sqrt(rho2+p.z()*p.z()); |
---|
[831] | 1743 | rho=std::sqrt(rho2); |
---|
| 1744 | |
---|
| 1745 | // |
---|
| 1746 | // Distance to r shells |
---|
| 1747 | // |
---|
| 1748 | if (fRmin) |
---|
| 1749 | { |
---|
[1228] | 1750 | safeRMin=fRmin-rds; |
---|
| 1751 | safeRMax=rds-fRmax; |
---|
[831] | 1752 | if (safeRMin>safeRMax) |
---|
| 1753 | { |
---|
| 1754 | safe=safeRMin; |
---|
| 1755 | } |
---|
| 1756 | else |
---|
| 1757 | { |
---|
| 1758 | safe=safeRMax; |
---|
| 1759 | } |
---|
| 1760 | } |
---|
| 1761 | else |
---|
| 1762 | { |
---|
[1228] | 1763 | safe=rds-fRmax; |
---|
[831] | 1764 | } |
---|
| 1765 | |
---|
| 1766 | // |
---|
| 1767 | // Distance to phi extent |
---|
| 1768 | // |
---|
[1228] | 1769 | if (!fFullPhiSphere && rho) |
---|
[831] | 1770 | { |
---|
| 1771 | // Psi=angle from central phi to point |
---|
| 1772 | // |
---|
[1228] | 1773 | cosPsi=(p.x()*cosCPhi+p.y()*sinCPhi)/rho; |
---|
| 1774 | if (cosPsi<std::cos(hDPhi)) |
---|
[831] | 1775 | { |
---|
| 1776 | // Point lies outside phi range |
---|
| 1777 | // |
---|
[1228] | 1778 | if ((p.y()*cosCPhi-p.x()*sinCPhi)<=0) |
---|
[831] | 1779 | { |
---|
[1228] | 1780 | safePhi=std::fabs(p.x()*sinSPhi-p.y()*cosSPhi); |
---|
[831] | 1781 | } |
---|
| 1782 | else |
---|
| 1783 | { |
---|
[1228] | 1784 | safePhi=std::fabs(p.x()*sinEPhi-p.y()*cosEPhi); |
---|
[831] | 1785 | } |
---|
[1228] | 1786 | if (safePhi>safe) { safe=safePhi; } |
---|
[831] | 1787 | } |
---|
| 1788 | } |
---|
| 1789 | // |
---|
| 1790 | // Distance to Theta extent |
---|
| 1791 | // |
---|
[1228] | 1792 | if ((rds!=0.0) && (!fFullThetaSphere)) |
---|
[831] | 1793 | { |
---|
[1228] | 1794 | pTheta=std::acos(p.z()/rds); |
---|
| 1795 | if (pTheta<0) { pTheta+=pi; } |
---|
[831] | 1796 | dTheta1=fSTheta-pTheta; |
---|
[1228] | 1797 | dTheta2=pTheta-eTheta; |
---|
[831] | 1798 | if (dTheta1>dTheta2) |
---|
| 1799 | { |
---|
| 1800 | if (dTheta1>=0) // WHY ??????????? |
---|
| 1801 | { |
---|
[1228] | 1802 | safeTheta=rds*std::sin(dTheta1); |
---|
[831] | 1803 | if (safe<=safeTheta) |
---|
| 1804 | { |
---|
| 1805 | safe=safeTheta; |
---|
| 1806 | } |
---|
| 1807 | } |
---|
| 1808 | } |
---|
| 1809 | else |
---|
| 1810 | { |
---|
| 1811 | if (dTheta2>=0) |
---|
| 1812 | { |
---|
[1228] | 1813 | safeTheta=rds*std::sin(dTheta2); |
---|
[831] | 1814 | if (safe<=safeTheta) |
---|
| 1815 | { |
---|
| 1816 | safe=safeTheta; |
---|
| 1817 | } |
---|
| 1818 | } |
---|
| 1819 | } |
---|
| 1820 | } |
---|
| 1821 | |
---|
[1228] | 1822 | if (safe<0) { safe=0; } |
---|
[831] | 1823 | return safe; |
---|
| 1824 | } |
---|
| 1825 | |
---|
| 1826 | ///////////////////////////////////////////////////////////////////// |
---|
| 1827 | // |
---|
[1228] | 1828 | // Calculate distance to surface of shape from 'inside', allowing for tolerance |
---|
[831] | 1829 | // - Only Calc rmax intersection if no valid rmin intersection |
---|
| 1830 | |
---|
| 1831 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p, |
---|
| 1832 | const G4ThreeVector& v, |
---|
| 1833 | const G4bool calcNorm, |
---|
| 1834 | G4bool *validNorm, |
---|
| 1835 | G4ThreeVector *n ) const |
---|
| 1836 | { |
---|
| 1837 | G4double snxt = kInfinity; // snxt is default return value |
---|
| 1838 | G4double sphi= kInfinity,stheta= kInfinity; |
---|
| 1839 | ESide side=kNull,sidephi=kNull,sidetheta=kNull; |
---|
| 1840 | |
---|
[1228] | 1841 | static const G4double halfCarTolerance = kCarTolerance*0.5; |
---|
| 1842 | static const G4double halfAngTolerance = kAngTolerance*0.5; |
---|
| 1843 | const G4double halfRmaxTolerance = fRmaxTolerance*0.5; |
---|
| 1844 | const G4double halfRminTolerance = fRminTolerance*0.5; |
---|
| 1845 | const G4double Rmax_plus = fRmax + halfRmaxTolerance; |
---|
| 1846 | const G4double Rmin_minus = (fRmin) ? fRmin-halfRminTolerance : 0; |
---|
[831] | 1847 | G4double t1,t2; |
---|
| 1848 | G4double b,c,d; |
---|
| 1849 | |
---|
| 1850 | // Variables for phi intersection: |
---|
| 1851 | |
---|
| 1852 | G4double pDistS,compS,pDistE,compE,sphi2,vphi; |
---|
| 1853 | |
---|
| 1854 | G4double rho2,rad2,pDotV2d,pDotV3d,pTheta; |
---|
| 1855 | |
---|
| 1856 | G4double tolSTheta=0.,tolETheta=0.; |
---|
| 1857 | G4double xi,yi,zi; // Intersection point |
---|
| 1858 | |
---|
[1228] | 1859 | // Theta precals |
---|
| 1860 | // |
---|
| 1861 | G4double rhoSecTheta; |
---|
[850] | 1862 | G4double dist2STheta, dist2ETheta, distTheta; |
---|
[831] | 1863 | G4double d2,s; |
---|
| 1864 | |
---|
| 1865 | // General Precalcs |
---|
[1228] | 1866 | // |
---|
[850] | 1867 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
| 1868 | rad2 = rho2+p.z()*p.z(); |
---|
[831] | 1869 | |
---|
[850] | 1870 | pTheta = std::atan2(std::sqrt(rho2),p.z()); |
---|
[831] | 1871 | |
---|
[850] | 1872 | pDotV2d = p.x()*v.x()+p.y()*v.y(); |
---|
| 1873 | pDotV3d = pDotV2d+p.z()*v.z(); |
---|
[831] | 1874 | |
---|
| 1875 | // Theta precalcs |
---|
| 1876 | |
---|
[1228] | 1877 | if ( !fFullThetaSphere ) |
---|
[831] | 1878 | { |
---|
[1228] | 1879 | tolSTheta = fSTheta - halfAngTolerance; |
---|
| 1880 | tolETheta = eTheta + halfAngTolerance; |
---|
[831] | 1881 | } |
---|
| 1882 | |
---|
| 1883 | // Radial Intersections from G4Sphere::DistanceToIn |
---|
| 1884 | // |
---|
| 1885 | // Outer spherical shell intersection |
---|
| 1886 | // - Only if outside tolerant fRmax |
---|
| 1887 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
| 1888 | // - No intersect -> no intersection with G4Sphere |
---|
| 1889 | // |
---|
| 1890 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
| 1891 | // |
---|
| 1892 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
| 1893 | // |
---|
| 1894 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
| 1895 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
| 1896 | // |
---|
| 1897 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
[850] | 1898 | |
---|
[1228] | 1899 | if( (rad2 <= Rmax_plus*Rmax_plus) && (rad2 >= Rmin_minus*Rmin_minus) ) |
---|
[831] | 1900 | { |
---|
| 1901 | c = rad2 - fRmax*fRmax; |
---|
| 1902 | |
---|
[1228] | 1903 | if (c < fRmaxTolerance*fRmax) |
---|
[831] | 1904 | { |
---|
| 1905 | // Within tolerant Outer radius |
---|
| 1906 | // |
---|
| 1907 | // The test is |
---|
| 1908 | // rad - fRmax < 0.5*kRadTolerance |
---|
| 1909 | // => rad < fRmax + 0.5*kRadTol |
---|
| 1910 | // => rad2 < (fRmax + 0.5*kRadTol)^2 |
---|
| 1911 | // => rad2 < fRmax^2 + 2.*0.5*fRmax*kRadTol + 0.25*kRadTol*kRadTol |
---|
| 1912 | // => rad2 - fRmax^2 <~ fRmax*kRadTol |
---|
| 1913 | |
---|
| 1914 | d2 = pDotV3d*pDotV3d - c; |
---|
| 1915 | |
---|
[1228] | 1916 | if( (c >- fRmaxTolerance*fRmax) // on tolerant surface |
---|
| 1917 | && ((pDotV3d >=0) || (d2 < 0)) ) // leaving outside from Rmax |
---|
| 1918 | // not re-entering |
---|
[831] | 1919 | { |
---|
| 1920 | if(calcNorm) |
---|
| 1921 | { |
---|
| 1922 | *validNorm = true ; |
---|
| 1923 | *n = G4ThreeVector(p.x()/fRmax,p.y()/fRmax,p.z()/fRmax) ; |
---|
| 1924 | } |
---|
| 1925 | return snxt = 0; |
---|
| 1926 | } |
---|
| 1927 | else |
---|
| 1928 | { |
---|
[850] | 1929 | snxt = -pDotV3d+std::sqrt(d2); // second root since inside Rmax |
---|
| 1930 | side = kRMax ; |
---|
[831] | 1931 | } |
---|
| 1932 | } |
---|
| 1933 | |
---|
| 1934 | // Inner spherical shell intersection: |
---|
| 1935 | // Always first >=0 root, because would have passed |
---|
| 1936 | // from outside of Rmin surface . |
---|
| 1937 | |
---|
| 1938 | if (fRmin) |
---|
| 1939 | { |
---|
| 1940 | c = rad2 - fRmin*fRmin; |
---|
| 1941 | d2 = pDotV3d*pDotV3d - c; |
---|
| 1942 | |
---|
[1228] | 1943 | if (c >- fRminTolerance*fRmin) // 2.0 * (0.5*kRadTolerance) * fRmin |
---|
[831] | 1944 | { |
---|
[1228] | 1945 | if ( (c < fRminTolerance*fRmin) // leaving from Rmin |
---|
| 1946 | && (d2 >= fRminTolerance*fRmin) && (pDotV3d < 0) ) |
---|
[831] | 1947 | { |
---|
[1228] | 1948 | if(calcNorm) { *validNorm = false; } // Rmin surface is concave |
---|
| 1949 | return snxt = 0 ; |
---|
[831] | 1950 | } |
---|
| 1951 | else |
---|
| 1952 | { |
---|
[850] | 1953 | if ( d2 >= 0. ) |
---|
[831] | 1954 | { |
---|
[850] | 1955 | s = -pDotV3d-std::sqrt(d2); |
---|
| 1956 | |
---|
| 1957 | if ( s >= 0. ) // Always intersect Rmin first |
---|
[831] | 1958 | { |
---|
| 1959 | snxt = s ; |
---|
| 1960 | side = kRMin ; |
---|
| 1961 | } |
---|
| 1962 | } |
---|
| 1963 | } |
---|
| 1964 | } |
---|
| 1965 | } |
---|
| 1966 | } |
---|
| 1967 | |
---|
| 1968 | // Theta segment intersection |
---|
| 1969 | |
---|
[1228] | 1970 | if ( !fFullThetaSphere ) |
---|
[831] | 1971 | { |
---|
| 1972 | // Intersection with theta surfaces |
---|
| 1973 | // |
---|
| 1974 | // Known failure cases: |
---|
| 1975 | // o Inside tolerance of stheta surface, skim |
---|
| 1976 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
| 1977 | // |
---|
| 1978 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
| 1979 | // |
---|
| 1980 | // o start/end theta is exactly pi/2 |
---|
| 1981 | // |
---|
| 1982 | // Intersections with cones |
---|
| 1983 | // |
---|
| 1984 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
| 1985 | // |
---|
| 1986 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
| 1987 | // |
---|
| 1988 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
| 1989 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
| 1990 | // |
---|
| 1991 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
| 1992 | // |
---|
[850] | 1993 | |
---|
| 1994 | if(fSTheta) // intersection with first cons |
---|
| 1995 | { |
---|
| 1996 | if( std::fabs(tanSTheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
| 1997 | { |
---|
| 1998 | if( v.z() > 0. ) |
---|
| 1999 | { |
---|
[1228] | 2000 | if ( std::fabs( p.z() ) <= halfRmaxTolerance ) |
---|
[850] | 2001 | { |
---|
| 2002 | if(calcNorm) |
---|
[831] | 2003 | { |
---|
[850] | 2004 | *validNorm = true; |
---|
| 2005 | *n = G4ThreeVector(0.,0.,1.); |
---|
[831] | 2006 | } |
---|
[850] | 2007 | return snxt = 0 ; |
---|
| 2008 | } |
---|
| 2009 | stheta = -p.z()/v.z(); |
---|
| 2010 | sidetheta = kSTheta; |
---|
| 2011 | } |
---|
| 2012 | } |
---|
| 2013 | else // kons is not plane |
---|
| 2014 | { |
---|
| 2015 | t1 = 1-v.z()*v.z()*(1+tanSTheta2); |
---|
| 2016 | t2 = pDotV2d-p.z()*v.z()*tanSTheta2; // ~vDotN if p on cons |
---|
[1228] | 2017 | dist2STheta = rho2-p.z()*p.z()*tanSTheta2; // t3 |
---|
[850] | 2018 | |
---|
| 2019 | distTheta = std::sqrt(rho2)-p.z()*tanSTheta; |
---|
| 2020 | |
---|
[1228] | 2021 | if( std::fabs(t1) < halfAngTolerance ) // 1st order equation, |
---|
| 2022 | { // v parallel to kons |
---|
[850] | 2023 | if( v.z() > 0. ) |
---|
| 2024 | { |
---|
[1228] | 2025 | if(std::fabs(distTheta) < halfRmaxTolerance) // p on surface |
---|
[850] | 2026 | { |
---|
[1228] | 2027 | if( (fSTheta < halfpi) && (p.z() > 0.) ) |
---|
[850] | 2028 | { |
---|
[1228] | 2029 | if( calcNorm ) { *validNorm = false; } |
---|
| 2030 | return snxt = 0.; |
---|
[850] | 2031 | } |
---|
[1228] | 2032 | else if( (fSTheta > halfpi) && (p.z() <= 0) ) |
---|
[850] | 2033 | { |
---|
| 2034 | if( calcNorm ) |
---|
| 2035 | { |
---|
| 2036 | *validNorm = true; |
---|
| 2037 | if (rho2) |
---|
| 2038 | { |
---|
| 2039 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
| 2040 | |
---|
| 2041 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2042 | p.y()/rhoSecTheta, |
---|
| 2043 | std::sin(fSTheta) ); |
---|
| 2044 | } |
---|
| 2045 | else *n = G4ThreeVector(0.,0.,1.); |
---|
| 2046 | } |
---|
| 2047 | return snxt = 0.; |
---|
| 2048 | } |
---|
| 2049 | } |
---|
| 2050 | stheta = -0.5*dist2STheta/t2; |
---|
| 2051 | sidetheta = kSTheta; |
---|
| 2052 | } |
---|
[1228] | 2053 | } // 2nd order equation, 1st root of fSTheta cone, |
---|
| 2054 | else // 2nd if 1st root -ve |
---|
[850] | 2055 | { |
---|
[1228] | 2056 | if( std::fabs(distTheta) < halfRmaxTolerance ) |
---|
[850] | 2057 | { |
---|
[1228] | 2058 | if( (fSTheta > halfpi) && (t2 >= 0.) ) // leave |
---|
[850] | 2059 | { |
---|
| 2060 | if( calcNorm ) |
---|
| 2061 | { |
---|
| 2062 | *validNorm = true; |
---|
| 2063 | if (rho2) |
---|
| 2064 | { |
---|
[1228] | 2065 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
[850] | 2066 | |
---|
[1228] | 2067 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2068 | p.y()/rhoSecTheta, |
---|
| 2069 | std::sin(fSTheta) ); |
---|
[850] | 2070 | } |
---|
[1228] | 2071 | else { *n = G4ThreeVector(0.,0.,1.); } |
---|
| 2072 | } |
---|
[850] | 2073 | return snxt = 0.; |
---|
| 2074 | } |
---|
[1228] | 2075 | else if( (fSTheta < halfpi) && (t2 < 0.) && (p.z() >=0.) ) // leave |
---|
[850] | 2076 | { |
---|
[1228] | 2077 | if( calcNorm ) { *validNorm = false; } |
---|
| 2078 | return snxt = 0.; |
---|
[850] | 2079 | } |
---|
[831] | 2080 | } |
---|
[850] | 2081 | b = t2/t1; |
---|
| 2082 | c = dist2STheta/t1; |
---|
| 2083 | d2 = b*b - c ; |
---|
| 2084 | |
---|
| 2085 | if ( d2 >= 0. ) |
---|
| 2086 | { |
---|
| 2087 | d = std::sqrt(d2); |
---|
| 2088 | |
---|
| 2089 | if( fSTheta > halfpi ) |
---|
| 2090 | { |
---|
| 2091 | s = -b - d; // First root |
---|
| 2092 | |
---|
[1228] | 2093 | if ( ((std::fabs(s) < halfRmaxTolerance) && (t2 < 0.)) |
---|
| 2094 | || (s < 0.) || ( (s > 0.) && (p.z() + s*v.z() > 0.) ) ) |
---|
[850] | 2095 | { |
---|
| 2096 | s = -b + d ; // 2nd root |
---|
| 2097 | } |
---|
[1228] | 2098 | if( (s > halfRmaxTolerance) && (p.z() + s*v.z() <= 0.) ) |
---|
[850] | 2099 | { |
---|
| 2100 | stheta = s; |
---|
| 2101 | sidetheta = kSTheta; |
---|
| 2102 | } |
---|
| 2103 | } |
---|
| 2104 | else // sTheta < pi/2, concave surface, no normal |
---|
| 2105 | { |
---|
| 2106 | s = -b - d; // First root |
---|
| 2107 | |
---|
[1228] | 2108 | if ( ( (std::fabs(s) < halfRmaxTolerance) && (t2 >= 0.) ) |
---|
| 2109 | || (s < 0.) || ( (s > 0.) && (p.z() + s*v.z() < 0.) ) ) |
---|
[850] | 2110 | { |
---|
| 2111 | s = -b + d ; // 2nd root |
---|
| 2112 | } |
---|
[1228] | 2113 | if( (s > halfRmaxTolerance) && (p.z() + s*v.z() >= 0.) ) |
---|
[850] | 2114 | { |
---|
| 2115 | stheta = s; |
---|
| 2116 | sidetheta = kSTheta; |
---|
| 2117 | } |
---|
| 2118 | } |
---|
| 2119 | } |
---|
[831] | 2120 | } |
---|
| 2121 | } |
---|
[850] | 2122 | } |
---|
[1228] | 2123 | if (eTheta < pi) // intersection with second cons |
---|
[850] | 2124 | { |
---|
| 2125 | if( std::fabs(tanETheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
| 2126 | { |
---|
| 2127 | if( v.z() < 0. ) |
---|
| 2128 | { |
---|
[1228] | 2129 | if ( std::fabs( p.z() ) <= halfRmaxTolerance ) |
---|
[850] | 2130 | { |
---|
| 2131 | if(calcNorm) |
---|
| 2132 | { |
---|
| 2133 | *validNorm = true; |
---|
| 2134 | *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2135 | } |
---|
| 2136 | return snxt = 0 ; |
---|
| 2137 | } |
---|
| 2138 | s = -p.z()/v.z(); |
---|
| 2139 | |
---|
[1228] | 2140 | if( s < stheta ) |
---|
[850] | 2141 | { |
---|
| 2142 | stheta = s; |
---|
| 2143 | sidetheta = kETheta; |
---|
| 2144 | } |
---|
| 2145 | } |
---|
| 2146 | } |
---|
| 2147 | else // kons is not plane |
---|
| 2148 | { |
---|
| 2149 | t1 = 1-v.z()*v.z()*(1+tanETheta2); |
---|
| 2150 | t2 = pDotV2d-p.z()*v.z()*tanETheta2; // ~vDotN if p on cons |
---|
[1228] | 2151 | dist2ETheta = rho2-p.z()*p.z()*tanETheta2; // t3 |
---|
[850] | 2152 | |
---|
| 2153 | distTheta = std::sqrt(rho2)-p.z()*tanETheta; |
---|
| 2154 | |
---|
[1228] | 2155 | if( std::fabs(t1) < halfAngTolerance ) // 1st order equation, |
---|
| 2156 | { // v parallel to kons |
---|
[850] | 2157 | if( v.z() < 0. ) |
---|
| 2158 | { |
---|
[1228] | 2159 | if(std::fabs(distTheta) < halfRmaxTolerance) // p on surface |
---|
[850] | 2160 | { |
---|
[1228] | 2161 | if( (eTheta > halfpi) && (p.z() < 0.) ) |
---|
[850] | 2162 | { |
---|
[1228] | 2163 | if( calcNorm ) { *validNorm = false; } |
---|
| 2164 | return snxt = 0.; |
---|
[850] | 2165 | } |
---|
[1228] | 2166 | else if ( (eTheta < halfpi) && (p.z() >= 0) ) |
---|
[850] | 2167 | { |
---|
| 2168 | if( calcNorm ) |
---|
| 2169 | { |
---|
| 2170 | *validNorm = true; |
---|
| 2171 | if (rho2) |
---|
| 2172 | { |
---|
| 2173 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
| 2174 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2175 | p.y()/rhoSecTheta, |
---|
[1228] | 2176 | -sinETheta ); |
---|
[850] | 2177 | } |
---|
[1228] | 2178 | else { *n = G4ThreeVector(0.,0.,-1.); } |
---|
[850] | 2179 | } |
---|
| 2180 | return snxt = 0.; |
---|
| 2181 | } |
---|
| 2182 | } |
---|
| 2183 | s = -0.5*dist2ETheta/t2; |
---|
| 2184 | |
---|
[1228] | 2185 | if( s < stheta ) |
---|
[850] | 2186 | { |
---|
| 2187 | stheta = s; |
---|
| 2188 | sidetheta = kETheta; |
---|
| 2189 | } |
---|
| 2190 | } |
---|
[1228] | 2191 | } // 2nd order equation, 1st root of fSTheta cone |
---|
| 2192 | else // 2nd if 1st root -ve |
---|
[850] | 2193 | { |
---|
[1228] | 2194 | if ( std::fabs(distTheta) < halfRmaxTolerance ) |
---|
[850] | 2195 | { |
---|
[1228] | 2196 | if( (eTheta < halfpi) && (t2 >= 0.) ) // leave |
---|
[850] | 2197 | { |
---|
| 2198 | if( calcNorm ) |
---|
| 2199 | { |
---|
| 2200 | *validNorm = true; |
---|
| 2201 | if (rho2) |
---|
| 2202 | { |
---|
| 2203 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
| 2204 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2205 | p.y()/rhoSecTheta, |
---|
[1228] | 2206 | -sinETheta ); |
---|
[850] | 2207 | } |
---|
| 2208 | else *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2209 | } |
---|
| 2210 | return snxt = 0.; |
---|
| 2211 | } |
---|
[1228] | 2212 | else if ( (eTheta > halfpi) |
---|
| 2213 | && (t2 < 0.) && (p.z() <=0.) ) // leave |
---|
[850] | 2214 | { |
---|
[1228] | 2215 | if( calcNorm ) { *validNorm = false; } |
---|
| 2216 | return snxt = 0.; |
---|
[850] | 2217 | } |
---|
| 2218 | } |
---|
| 2219 | b = t2/t1; |
---|
| 2220 | c = dist2ETheta/t1; |
---|
| 2221 | d2 = b*b - c ; |
---|
| 2222 | |
---|
| 2223 | if ( d2 >= 0. ) |
---|
| 2224 | { |
---|
| 2225 | d = std::sqrt(d2); |
---|
| 2226 | |
---|
[1228] | 2227 | if( eTheta < halfpi ) |
---|
[850] | 2228 | { |
---|
| 2229 | s = -b - d; // First root |
---|
| 2230 | |
---|
[1228] | 2231 | if( ((std::fabs(s) < halfRmaxTolerance) && (t2 < 0.)) |
---|
| 2232 | || (s < 0.) ) |
---|
[850] | 2233 | { |
---|
| 2234 | s = -b + d ; // 2nd root |
---|
| 2235 | } |
---|
[1228] | 2236 | if( s > halfRmaxTolerance ) |
---|
[850] | 2237 | { |
---|
| 2238 | if( s < stheta ) |
---|
| 2239 | { |
---|
| 2240 | stheta = s; |
---|
| 2241 | sidetheta = kETheta; |
---|
| 2242 | } |
---|
| 2243 | } |
---|
| 2244 | } |
---|
| 2245 | else // sTheta+fDTheta > pi/2, concave surface, no normal |
---|
| 2246 | { |
---|
| 2247 | s = -b - d; // First root |
---|
| 2248 | |
---|
[1228] | 2249 | if ( ((std::fabs(s) < halfRmaxTolerance) && (t2 >= 0.)) |
---|
| 2250 | || (s < 0.) || ( (s > 0.) && (p.z() + s*v.z() > 0.) ) ) |
---|
[850] | 2251 | { |
---|
| 2252 | s = -b + d ; // 2nd root |
---|
| 2253 | } |
---|
[1228] | 2254 | if( (s > halfRmaxTolerance) && (p.z() + s*v.z() <= 0.) ) |
---|
[850] | 2255 | { |
---|
| 2256 | if( s < stheta ) |
---|
| 2257 | { |
---|
| 2258 | stheta = s; |
---|
| 2259 | sidetheta = kETheta; |
---|
| 2260 | } |
---|
| 2261 | } |
---|
| 2262 | } |
---|
| 2263 | } |
---|
| 2264 | } |
---|
| 2265 | } |
---|
| 2266 | } |
---|
| 2267 | |
---|
| 2268 | } // end theta intersections |
---|
| 2269 | |
---|
[831] | 2270 | // Phi Intersection |
---|
| 2271 | |
---|
[1228] | 2272 | if ( !fFullPhiSphere ) |
---|
[831] | 2273 | { |
---|
[1228] | 2274 | if ( p.x() || p.y() ) // Check if on z axis (rho not needed later) |
---|
[831] | 2275 | { |
---|
| 2276 | // pDist -ve when inside |
---|
| 2277 | |
---|
| 2278 | pDistS=p.x()*sinSPhi-p.y()*cosSPhi; |
---|
| 2279 | pDistE=-p.x()*sinEPhi+p.y()*cosEPhi; |
---|
| 2280 | |
---|
| 2281 | // Comp -ve when in direction of outwards normal |
---|
| 2282 | |
---|
| 2283 | compS = -sinSPhi*v.x()+cosSPhi*v.y() ; |
---|
| 2284 | compE = sinEPhi*v.x()-cosEPhi*v.y() ; |
---|
| 2285 | sidephi = kNull ; |
---|
| 2286 | |
---|
[1228] | 2287 | if ( (pDistS <= 0) && (pDistE <= 0) ) |
---|
[831] | 2288 | { |
---|
| 2289 | // Inside both phi *full* planes |
---|
| 2290 | |
---|
| 2291 | if ( compS < 0 ) |
---|
| 2292 | { |
---|
| 2293 | sphi = pDistS/compS ; |
---|
| 2294 | xi = p.x()+sphi*v.x() ; |
---|
| 2295 | yi = p.y()+sphi*v.y() ; |
---|
| 2296 | |
---|
[1228] | 2297 | // Check intersection with correct half-plane (if not -> no intersect) |
---|
| 2298 | // |
---|
| 2299 | if( (std::abs(xi)<=kCarTolerance) && (std::abs(yi)<=kCarTolerance) ) |
---|
[831] | 2300 | { |
---|
[1228] | 2301 | vphi = std::atan2(v.y(),v.x()); |
---|
| 2302 | sidephi = kSPhi; |
---|
| 2303 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
| 2304 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
| 2305 | { |
---|
| 2306 | sphi = kInfinity; |
---|
| 2307 | } |
---|
| 2308 | } |
---|
| 2309 | else if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
| 2310 | { |
---|
[831] | 2311 | sphi=kInfinity; |
---|
| 2312 | } |
---|
| 2313 | else |
---|
| 2314 | { |
---|
| 2315 | sidephi = kSPhi ; |
---|
[1228] | 2316 | if ( pDistS > -halfCarTolerance) { sphi = 0; } // Leave by sphi |
---|
[831] | 2317 | } |
---|
| 2318 | } |
---|
[1228] | 2319 | else { sphi = kInfinity; } |
---|
[831] | 2320 | |
---|
| 2321 | if ( compE < 0 ) |
---|
| 2322 | { |
---|
| 2323 | sphi2=pDistE/compE ; |
---|
| 2324 | if (sphi2 < sphi) // Only check further if < starting phi intersection |
---|
| 2325 | { |
---|
| 2326 | xi = p.x()+sphi2*v.x() ; |
---|
| 2327 | yi = p.y()+sphi2*v.y() ; |
---|
| 2328 | |
---|
[1228] | 2329 | // Check intersection with correct half-plane |
---|
| 2330 | // |
---|
| 2331 | if ((std::abs(xi)<=kCarTolerance) && (std::abs(yi)<=kCarTolerance)) |
---|
[831] | 2332 | { |
---|
[1228] | 2333 | // Leaving via ending phi |
---|
| 2334 | // |
---|
| 2335 | vphi = std::atan2(v.y(),v.x()) ; |
---|
| 2336 | |
---|
| 2337 | if( !((fSPhi-halfAngTolerance <= vphi) |
---|
| 2338 | &&(fSPhi+fDPhi+halfAngTolerance >= vphi)) ) |
---|
| 2339 | { |
---|
| 2340 | sidephi = kEPhi; |
---|
| 2341 | if ( pDistE <= -halfCarTolerance ) { sphi = sphi2; } |
---|
| 2342 | else { sphi = 0.0; } |
---|
| 2343 | } |
---|
| 2344 | } |
---|
| 2345 | else if ((yi*cosCPhi-xi*sinCPhi)>=0) // Leaving via ending phi |
---|
| 2346 | { |
---|
[831] | 2347 | sidephi = kEPhi ; |
---|
[1228] | 2348 | if ( pDistE <= -halfCarTolerance ) |
---|
[831] | 2349 | { |
---|
| 2350 | sphi=sphi2; |
---|
| 2351 | } |
---|
| 2352 | else |
---|
| 2353 | { |
---|
| 2354 | sphi = 0 ; |
---|
| 2355 | } |
---|
| 2356 | } |
---|
| 2357 | } |
---|
| 2358 | } |
---|
| 2359 | } |
---|
[1228] | 2360 | else if ((pDistS >= 0) && (pDistE >= 0)) // Outside both *full* phi planes |
---|
[831] | 2361 | { |
---|
| 2362 | if ( pDistS <= pDistE ) |
---|
| 2363 | { |
---|
| 2364 | sidephi = kSPhi ; |
---|
| 2365 | } |
---|
| 2366 | else |
---|
| 2367 | { |
---|
| 2368 | sidephi = kEPhi ; |
---|
| 2369 | } |
---|
| 2370 | if ( fDPhi > pi ) |
---|
| 2371 | { |
---|
[1228] | 2372 | if ( (compS < 0) && (compE < 0) ) { sphi = 0; } |
---|
| 2373 | else { sphi = kInfinity; } |
---|
[831] | 2374 | } |
---|
| 2375 | else |
---|
| 2376 | { |
---|
| 2377 | // if towards both >=0 then once inside (after error) |
---|
| 2378 | // will remain inside |
---|
| 2379 | |
---|
[1228] | 2380 | if ( (compS >= 0) && (compE >= 0) ) { sphi = kInfinity; } |
---|
| 2381 | else { sphi = 0; } |
---|
[831] | 2382 | } |
---|
| 2383 | } |
---|
[1228] | 2384 | else if ( (pDistS > 0) && (pDistE < 0) ) |
---|
[831] | 2385 | { |
---|
| 2386 | // Outside full starting plane, inside full ending plane |
---|
| 2387 | |
---|
| 2388 | if ( fDPhi > pi ) |
---|
| 2389 | { |
---|
| 2390 | if ( compE < 0 ) |
---|
| 2391 | { |
---|
| 2392 | sphi = pDistE/compE ; |
---|
| 2393 | xi = p.x() + sphi*v.x() ; |
---|
| 2394 | yi = p.y() + sphi*v.y() ; |
---|
| 2395 | |
---|
| 2396 | // Check intersection in correct half-plane |
---|
| 2397 | // (if not -> not leaving phi extent) |
---|
| 2398 | // |
---|
[1228] | 2399 | if( (std::abs(xi)<=kCarTolerance)&&(std::abs(yi)<=kCarTolerance) ) |
---|
[831] | 2400 | { |
---|
[1228] | 2401 | vphi = std::atan2(v.y(),v.x()); |
---|
| 2402 | sidephi = kSPhi; |
---|
| 2403 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
| 2404 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
| 2405 | { |
---|
| 2406 | sphi = kInfinity; |
---|
| 2407 | } |
---|
| 2408 | } |
---|
| 2409 | else if ( ( yi*cosCPhi - xi*sinCPhi ) <= 0 ) |
---|
| 2410 | { |
---|
[831] | 2411 | sphi = kInfinity ; |
---|
| 2412 | } |
---|
| 2413 | else // Leaving via Ending phi |
---|
| 2414 | { |
---|
| 2415 | sidephi = kEPhi ; |
---|
[1228] | 2416 | if ( pDistE > -halfCarTolerance ) { sphi = 0.; } |
---|
[831] | 2417 | } |
---|
| 2418 | } |
---|
| 2419 | else |
---|
| 2420 | { |
---|
| 2421 | sphi = kInfinity ; |
---|
| 2422 | } |
---|
| 2423 | } |
---|
| 2424 | else |
---|
| 2425 | { |
---|
| 2426 | if ( compS >= 0 ) |
---|
| 2427 | { |
---|
| 2428 | if ( compE < 0 ) |
---|
| 2429 | { |
---|
| 2430 | sphi = pDistE/compE ; |
---|
| 2431 | xi = p.x() + sphi*v.x() ; |
---|
| 2432 | yi = p.y() + sphi*v.y() ; |
---|
| 2433 | |
---|
| 2434 | // Check intersection in correct half-plane |
---|
| 2435 | // (if not -> remain in extent) |
---|
| 2436 | // |
---|
[1228] | 2437 | if( (std::abs(xi)<=kCarTolerance)&&(std::abs(yi)<=kCarTolerance) ) |
---|
[831] | 2438 | { |
---|
[1228] | 2439 | vphi = std::atan2(v.y(),v.x()); |
---|
| 2440 | sidephi = kSPhi; |
---|
| 2441 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
| 2442 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
| 2443 | { |
---|
| 2444 | sphi = kInfinity; |
---|
| 2445 | } |
---|
| 2446 | } |
---|
| 2447 | else if ( ( yi*cosCPhi - xi*sinCPhi) <= 0 ) |
---|
| 2448 | { |
---|
[831] | 2449 | sphi=kInfinity; |
---|
| 2450 | } |
---|
| 2451 | else // otherwise leaving via Ending phi |
---|
| 2452 | { |
---|
| 2453 | sidephi = kEPhi ; |
---|
| 2454 | } |
---|
| 2455 | } |
---|
| 2456 | else sphi=kInfinity; |
---|
| 2457 | } |
---|
| 2458 | else // leaving immediately by starting phi |
---|
| 2459 | { |
---|
| 2460 | sidephi = kSPhi ; |
---|
| 2461 | sphi = 0 ; |
---|
| 2462 | } |
---|
| 2463 | } |
---|
| 2464 | } |
---|
| 2465 | else |
---|
| 2466 | { |
---|
| 2467 | // Must be pDistS < 0 && pDistE > 0 |
---|
| 2468 | // Inside full starting plane, outside full ending plane |
---|
| 2469 | |
---|
| 2470 | if ( fDPhi > pi ) |
---|
| 2471 | { |
---|
| 2472 | if ( compS < 0 ) |
---|
| 2473 | { |
---|
| 2474 | sphi=pDistS/compS; |
---|
| 2475 | xi=p.x()+sphi*v.x(); |
---|
| 2476 | yi=p.y()+sphi*v.y(); |
---|
[1228] | 2477 | |
---|
[831] | 2478 | // Check intersection in correct half-plane |
---|
| 2479 | // (if not -> not leaving phi extent) |
---|
| 2480 | // |
---|
[1228] | 2481 | if( (std::abs(xi)<=kCarTolerance)&&(std::abs(yi)<=kCarTolerance) ) |
---|
[831] | 2482 | { |
---|
[1228] | 2483 | vphi = std::atan2(v.y(),v.x()) ; |
---|
| 2484 | sidephi = kSPhi; |
---|
| 2485 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
| 2486 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
| 2487 | { |
---|
| 2488 | sphi = kInfinity; |
---|
| 2489 | } |
---|
| 2490 | } |
---|
| 2491 | else if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
| 2492 | { |
---|
[831] | 2493 | sphi = kInfinity ; |
---|
| 2494 | } |
---|
[1228] | 2495 | else // Leaving via Starting phi |
---|
| 2496 | { |
---|
[831] | 2497 | sidephi = kSPhi ; |
---|
[1228] | 2498 | if ( pDistS > -halfCarTolerance ) { sphi = 0; } |
---|
[831] | 2499 | } |
---|
| 2500 | } |
---|
| 2501 | else |
---|
| 2502 | { |
---|
| 2503 | sphi = kInfinity ; |
---|
| 2504 | } |
---|
| 2505 | } |
---|
| 2506 | else |
---|
| 2507 | { |
---|
| 2508 | if ( compE >= 0 ) |
---|
| 2509 | { |
---|
| 2510 | if ( compS < 0 ) |
---|
| 2511 | { |
---|
| 2512 | sphi = pDistS/compS ; |
---|
| 2513 | xi = p.x()+sphi*v.x() ; |
---|
| 2514 | yi = p.y()+sphi*v.y() ; |
---|
[1228] | 2515 | |
---|
[831] | 2516 | // Check intersection in correct half-plane |
---|
| 2517 | // (if not -> remain in extent) |
---|
| 2518 | // |
---|
[1228] | 2519 | if((std::abs(xi)<=kCarTolerance) && (std::abs(yi)<=kCarTolerance)) |
---|
[831] | 2520 | { |
---|
[1228] | 2521 | vphi = std::atan2(v.y(),v.x()) ; |
---|
| 2522 | sidephi = kSPhi; |
---|
| 2523 | if ( ( (fSPhi-halfAngTolerance) <= vphi) |
---|
| 2524 | && ( (ePhi+halfAngTolerance) >= vphi) ) |
---|
| 2525 | { |
---|
| 2526 | sphi = kInfinity; |
---|
| 2527 | } |
---|
| 2528 | } |
---|
| 2529 | else if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
| 2530 | { |
---|
[831] | 2531 | sphi = kInfinity ; |
---|
| 2532 | } |
---|
| 2533 | else // otherwise leaving via Starting phi |
---|
| 2534 | { |
---|
| 2535 | sidephi = kSPhi ; |
---|
| 2536 | } |
---|
| 2537 | } |
---|
| 2538 | else |
---|
| 2539 | { |
---|
| 2540 | sphi = kInfinity ; |
---|
| 2541 | } |
---|
| 2542 | } |
---|
| 2543 | else // leaving immediately by ending |
---|
| 2544 | { |
---|
| 2545 | sidephi = kEPhi ; |
---|
| 2546 | sphi = 0 ; |
---|
| 2547 | } |
---|
| 2548 | } |
---|
| 2549 | } |
---|
| 2550 | } |
---|
| 2551 | else |
---|
| 2552 | { |
---|
| 2553 | // On z axis + travel not || to z axis -> if phi of vector direction |
---|
| 2554 | // within phi of shape, Step limited by rmax, else Step =0 |
---|
| 2555 | |
---|
| 2556 | if ( v.x() || v.y() ) |
---|
| 2557 | { |
---|
| 2558 | vphi = std::atan2(v.y(),v.x()) ; |
---|
[1228] | 2559 | if ((fSPhi-halfAngTolerance < vphi) && (vphi < ePhi+halfAngTolerance)) |
---|
[831] | 2560 | { |
---|
[1228] | 2561 | sphi = kInfinity; |
---|
[831] | 2562 | } |
---|
| 2563 | else |
---|
| 2564 | { |
---|
| 2565 | sidephi = kSPhi ; // arbitrary |
---|
| 2566 | sphi = 0 ; |
---|
| 2567 | } |
---|
| 2568 | } |
---|
[1228] | 2569 | else // travel along z - no phi intersection |
---|
[831] | 2570 | { |
---|
| 2571 | sphi = kInfinity ; |
---|
| 2572 | } |
---|
| 2573 | } |
---|
| 2574 | if ( sphi < snxt ) // Order intersecttions |
---|
| 2575 | { |
---|
| 2576 | snxt = sphi ; |
---|
| 2577 | side = sidephi ; |
---|
| 2578 | } |
---|
| 2579 | } |
---|
| 2580 | if (stheta < snxt ) // Order intersections |
---|
| 2581 | { |
---|
| 2582 | snxt = stheta ; |
---|
| 2583 | side = sidetheta ; |
---|
| 2584 | } |
---|
| 2585 | |
---|
| 2586 | if (calcNorm) // Output switch operator |
---|
| 2587 | { |
---|
| 2588 | switch( side ) |
---|
| 2589 | { |
---|
| 2590 | case kRMax: |
---|
| 2591 | xi=p.x()+snxt*v.x(); |
---|
| 2592 | yi=p.y()+snxt*v.y(); |
---|
| 2593 | zi=p.z()+snxt*v.z(); |
---|
| 2594 | *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi/fRmax); |
---|
| 2595 | *validNorm=true; |
---|
| 2596 | break; |
---|
[850] | 2597 | |
---|
[831] | 2598 | case kRMin: |
---|
| 2599 | *validNorm=false; // Rmin is concave |
---|
| 2600 | break; |
---|
[850] | 2601 | |
---|
[831] | 2602 | case kSPhi: |
---|
[850] | 2603 | if ( fDPhi <= pi ) // Normal to Phi- |
---|
[831] | 2604 | { |
---|
[1228] | 2605 | *n=G4ThreeVector(sinSPhi,-cosSPhi,0); |
---|
[831] | 2606 | *validNorm=true; |
---|
| 2607 | } |
---|
[1228] | 2608 | else { *validNorm=false; } |
---|
[831] | 2609 | break ; |
---|
[850] | 2610 | |
---|
[831] | 2611 | case kEPhi: |
---|
[850] | 2612 | if ( fDPhi <= pi ) // Normal to Phi+ |
---|
[831] | 2613 | { |
---|
[1228] | 2614 | *n=G4ThreeVector(-sinEPhi,cosEPhi,0); |
---|
[831] | 2615 | *validNorm=true; |
---|
| 2616 | } |
---|
[1228] | 2617 | else { *validNorm=false; } |
---|
[831] | 2618 | break; |
---|
[850] | 2619 | |
---|
[831] | 2620 | case kSTheta: |
---|
[850] | 2621 | if( fSTheta == halfpi ) |
---|
[831] | 2622 | { |
---|
[850] | 2623 | *n=G4ThreeVector(0.,0.,1.); |
---|
[831] | 2624 | *validNorm=true; |
---|
| 2625 | } |
---|
[850] | 2626 | else if ( fSTheta > halfpi ) |
---|
[831] | 2627 | { |
---|
[850] | 2628 | xi = p.x() + snxt*v.x(); |
---|
| 2629 | yi = p.y() + snxt*v.y(); |
---|
[1228] | 2630 | rho2=xi*xi+yi*yi; |
---|
| 2631 | if (rho2) |
---|
| 2632 | { |
---|
| 2633 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
| 2634 | *n = G4ThreeVector( xi/rhoSecTheta, yi/rhoSecTheta, |
---|
| 2635 | -tanSTheta/std::sqrt(1+tanSTheta2)); |
---|
| 2636 | } |
---|
| 2637 | else |
---|
| 2638 | { |
---|
| 2639 | *n = G4ThreeVector(0.,0.,1.); |
---|
| 2640 | } |
---|
[831] | 2641 | *validNorm=true; |
---|
| 2642 | } |
---|
[1228] | 2643 | else { *validNorm=false; } // Concave STheta cone |
---|
[831] | 2644 | break; |
---|
[850] | 2645 | |
---|
[831] | 2646 | case kETheta: |
---|
[1228] | 2647 | if( eTheta == halfpi ) |
---|
[831] | 2648 | { |
---|
[850] | 2649 | *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2650 | *validNorm = true; |
---|
[831] | 2651 | } |
---|
[1228] | 2652 | else if ( eTheta < halfpi ) |
---|
[831] | 2653 | { |
---|
| 2654 | xi=p.x()+snxt*v.x(); |
---|
| 2655 | yi=p.y()+snxt*v.y(); |
---|
[1228] | 2656 | rho2=xi*xi+yi*yi; |
---|
| 2657 | if (rho2) |
---|
| 2658 | { |
---|
| 2659 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
| 2660 | *n = G4ThreeVector( xi/rhoSecTheta, yi/rhoSecTheta, |
---|
| 2661 | -tanETheta/std::sqrt(1+tanETheta2) ); |
---|
| 2662 | } |
---|
| 2663 | else |
---|
| 2664 | { |
---|
| 2665 | *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2666 | } |
---|
[831] | 2667 | *validNorm=true; |
---|
| 2668 | } |
---|
[1228] | 2669 | else { *validNorm=false; } // Concave ETheta cone |
---|
[831] | 2670 | break; |
---|
[850] | 2671 | |
---|
[831] | 2672 | default: |
---|
| 2673 | G4cout.precision(16); |
---|
| 2674 | G4cout << G4endl; |
---|
| 2675 | DumpInfo(); |
---|
| 2676 | G4cout << "Position:" << G4endl << G4endl; |
---|
| 2677 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
| 2678 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
| 2679 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
| 2680 | G4cout << "Direction:" << G4endl << G4endl; |
---|
| 2681 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
| 2682 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
| 2683 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
| 2684 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
| 2685 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
| 2686 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
| 2687 | "Notification", JustWarning, |
---|
| 2688 | "Undefined side for valid surface normal to solid."); |
---|
| 2689 | break; |
---|
| 2690 | } |
---|
| 2691 | } |
---|
| 2692 | if (snxt == kInfinity) |
---|
| 2693 | { |
---|
| 2694 | G4cout.precision(24); |
---|
| 2695 | G4cout << G4endl; |
---|
| 2696 | DumpInfo(); |
---|
| 2697 | G4cout << "Position:" << G4endl << G4endl; |
---|
| 2698 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
| 2699 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
| 2700 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
| 2701 | G4cout << "Rp = "<< std::sqrt( p.x()*p.x()+p.y()*p.y()+p.z()*p.z() )/mm << " mm" |
---|
| 2702 | << G4endl << G4endl; |
---|
| 2703 | G4cout << "Direction:" << G4endl << G4endl; |
---|
| 2704 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
| 2705 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
| 2706 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
| 2707 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
| 2708 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
| 2709 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
| 2710 | "Notification", JustWarning, |
---|
| 2711 | "Logic error: snxt = kInfinity ???"); |
---|
| 2712 | } |
---|
| 2713 | |
---|
| 2714 | return snxt; |
---|
| 2715 | } |
---|
| 2716 | |
---|
| 2717 | ///////////////////////////////////////////////////////////////////////// |
---|
| 2718 | // |
---|
[1228] | 2719 | // Calculate distance (<=actual) to closest surface of shape from inside |
---|
[831] | 2720 | |
---|
| 2721 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p ) const |
---|
| 2722 | { |
---|
| 2723 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
[1228] | 2724 | G4double rho2,rds,rho; |
---|
[831] | 2725 | G4double pTheta,dTheta1,dTheta2; |
---|
| 2726 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
[1228] | 2727 | rds=std::sqrt(rho2+p.z()*p.z()); |
---|
[831] | 2728 | rho=std::sqrt(rho2); |
---|
| 2729 | |
---|
| 2730 | #ifdef G4CSGDEBUG |
---|
| 2731 | if( Inside(p) == kOutside ) |
---|
| 2732 | { |
---|
| 2733 | G4cout.precision(16) ; |
---|
| 2734 | G4cout << G4endl ; |
---|
| 2735 | DumpInfo(); |
---|
| 2736 | G4cout << "Position:" << G4endl << G4endl ; |
---|
| 2737 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ; |
---|
| 2738 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ; |
---|
| 2739 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ; |
---|
| 2740 | G4Exception("G4Sphere::DistanceToOut(p)", |
---|
| 2741 | "Notification", JustWarning, "Point p is outside !?" ); |
---|
| 2742 | } |
---|
| 2743 | #endif |
---|
| 2744 | |
---|
| 2745 | // |
---|
| 2746 | // Distance to r shells |
---|
| 2747 | // |
---|
| 2748 | if (fRmin) |
---|
| 2749 | { |
---|
[1228] | 2750 | safeRMin=rds-fRmin; |
---|
| 2751 | safeRMax=fRmax-rds; |
---|
[831] | 2752 | if (safeRMin<safeRMax) |
---|
| 2753 | { |
---|
| 2754 | safe=safeRMin; |
---|
| 2755 | } |
---|
| 2756 | else |
---|
| 2757 | { |
---|
| 2758 | safe=safeRMax; |
---|
| 2759 | } |
---|
| 2760 | } |
---|
| 2761 | else |
---|
| 2762 | { |
---|
[1228] | 2763 | safe=fRmax-rds; |
---|
[831] | 2764 | } |
---|
| 2765 | |
---|
| 2766 | // |
---|
| 2767 | // Distance to phi extent |
---|
| 2768 | // |
---|
[1228] | 2769 | if (!fFullPhiSphere && rho) |
---|
[831] | 2770 | { |
---|
[1228] | 2771 | if ((p.y()*cosCPhi-p.x()*sinCPhi)<=0) |
---|
[831] | 2772 | { |
---|
[1228] | 2773 | safePhi=-(p.x()*sinSPhi-p.y()*cosSPhi); |
---|
[831] | 2774 | } |
---|
| 2775 | else |
---|
| 2776 | { |
---|
[1228] | 2777 | safePhi=(p.x()*sinEPhi-p.y()*cosEPhi); |
---|
[831] | 2778 | } |
---|
[1228] | 2779 | if (safePhi<safe) { safe=safePhi; } |
---|
[831] | 2780 | } |
---|
| 2781 | |
---|
| 2782 | // |
---|
| 2783 | // Distance to Theta extent |
---|
| 2784 | // |
---|
[1228] | 2785 | if (rds) |
---|
[831] | 2786 | { |
---|
[1228] | 2787 | pTheta=std::acos(p.z()/rds); |
---|
| 2788 | if (pTheta<0) { pTheta+=pi; } |
---|
[831] | 2789 | dTheta1=pTheta-fSTheta; |
---|
[1228] | 2790 | dTheta2=eTheta-pTheta; |
---|
| 2791 | if (dTheta1<dTheta2) { safeTheta=rds*std::sin(dTheta1); } |
---|
| 2792 | else { safeTheta=rds*std::sin(dTheta2); } |
---|
| 2793 | if (safe>safeTheta) { safe=safeTheta; } |
---|
[831] | 2794 | } |
---|
| 2795 | |
---|
[1228] | 2796 | if (safe<0) { safe=0; } |
---|
| 2797 | return safe; |
---|
[831] | 2798 | } |
---|
| 2799 | |
---|
| 2800 | ////////////////////////////////////////////////////////////////////////// |
---|
| 2801 | // |
---|
| 2802 | // Create a List containing the transformed vertices |
---|
| 2803 | // Ordering [0-3] -fDz cross section |
---|
| 2804 | // [4-7] +fDz cross section such that [0] is below [4], |
---|
| 2805 | // [1] below [5] etc. |
---|
| 2806 | // Note: |
---|
| 2807 | // Caller has deletion resposibility |
---|
| 2808 | // Potential improvement: For last slice, use actual ending angle |
---|
| 2809 | // to avoid rounding error problems. |
---|
| 2810 | |
---|
| 2811 | G4ThreeVectorList* |
---|
| 2812 | G4Sphere::CreateRotatedVertices( const G4AffineTransform& pTransform, |
---|
| 2813 | G4int& noPolygonVertices ) const |
---|
| 2814 | { |
---|
| 2815 | G4ThreeVectorList *vertices; |
---|
| 2816 | G4ThreeVector vertex; |
---|
| 2817 | G4double meshAnglePhi,meshRMax,crossAnglePhi, |
---|
| 2818 | coscrossAnglePhi,sincrossAnglePhi,sAnglePhi; |
---|
| 2819 | G4double meshTheta,crossTheta,startTheta; |
---|
| 2820 | G4double rMaxX,rMaxY,rMinX,rMinY,rMinZ,rMaxZ; |
---|
| 2821 | G4int crossSectionPhi,noPhiCrossSections,crossSectionTheta,noThetaSections; |
---|
| 2822 | |
---|
| 2823 | // Phi cross sections |
---|
| 2824 | |
---|
[1228] | 2825 | noPhiCrossSections = G4int(fDPhi/kMeshAngleDefault)+1; |
---|
[831] | 2826 | |
---|
| 2827 | if (noPhiCrossSections<kMinMeshSections) |
---|
| 2828 | { |
---|
| 2829 | noPhiCrossSections=kMinMeshSections; |
---|
| 2830 | } |
---|
| 2831 | else if (noPhiCrossSections>kMaxMeshSections) |
---|
| 2832 | { |
---|
| 2833 | noPhiCrossSections=kMaxMeshSections; |
---|
| 2834 | } |
---|
| 2835 | meshAnglePhi=fDPhi/(noPhiCrossSections-1); |
---|
| 2836 | |
---|
| 2837 | // If complete in phi, set start angle such that mesh will be at fRMax |
---|
| 2838 | // on the x axis. Will give better extent calculations when not rotated. |
---|
| 2839 | |
---|
[1228] | 2840 | if (fFullPhiSphere) |
---|
[831] | 2841 | { |
---|
| 2842 | sAnglePhi = -meshAnglePhi*0.5; |
---|
| 2843 | } |
---|
| 2844 | else |
---|
| 2845 | { |
---|
| 2846 | sAnglePhi=fSPhi; |
---|
| 2847 | } |
---|
| 2848 | |
---|
| 2849 | // Theta cross sections |
---|
| 2850 | |
---|
| 2851 | noThetaSections = G4int(fDTheta/kMeshAngleDefault)+1; |
---|
| 2852 | |
---|
| 2853 | if (noThetaSections<kMinMeshSections) |
---|
| 2854 | { |
---|
| 2855 | noThetaSections=kMinMeshSections; |
---|
| 2856 | } |
---|
| 2857 | else if (noThetaSections>kMaxMeshSections) |
---|
| 2858 | { |
---|
| 2859 | noThetaSections=kMaxMeshSections; |
---|
| 2860 | } |
---|
| 2861 | meshTheta=fDTheta/(noThetaSections-1); |
---|
| 2862 | |
---|
| 2863 | // If complete in Theta, set start angle such that mesh will be at fRMax |
---|
| 2864 | // on the z axis. Will give better extent calculations when not rotated. |
---|
| 2865 | |
---|
[1228] | 2866 | if (fFullThetaSphere) |
---|
[831] | 2867 | { |
---|
| 2868 | startTheta = -meshTheta*0.5; |
---|
| 2869 | } |
---|
| 2870 | else |
---|
| 2871 | { |
---|
| 2872 | startTheta=fSTheta; |
---|
| 2873 | } |
---|
| 2874 | |
---|
| 2875 | meshRMax = (meshAnglePhi >= meshTheta) ? |
---|
| 2876 | fRmax/std::cos(meshAnglePhi*0.5) : fRmax/std::cos(meshTheta*0.5); |
---|
| 2877 | G4double* cosCrossTheta = new G4double[noThetaSections]; |
---|
| 2878 | G4double* sinCrossTheta = new G4double[noThetaSections]; |
---|
| 2879 | vertices=new G4ThreeVectorList(); |
---|
| 2880 | vertices->reserve(noPhiCrossSections*(noThetaSections*2)); |
---|
| 2881 | if (vertices && cosCrossTheta && sinCrossTheta) |
---|
| 2882 | { |
---|
| 2883 | for (crossSectionPhi=0; |
---|
| 2884 | crossSectionPhi<noPhiCrossSections; crossSectionPhi++) |
---|
| 2885 | { |
---|
| 2886 | crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi; |
---|
| 2887 | coscrossAnglePhi=std::cos(crossAnglePhi); |
---|
| 2888 | sincrossAnglePhi=std::sin(crossAnglePhi); |
---|
| 2889 | for (crossSectionTheta=0; |
---|
| 2890 | crossSectionTheta<noThetaSections;crossSectionTheta++) |
---|
| 2891 | { |
---|
| 2892 | // Compute coordinates of cross section at section crossSectionPhi |
---|
| 2893 | // |
---|
| 2894 | crossTheta=startTheta+crossSectionTheta*meshTheta; |
---|
| 2895 | cosCrossTheta[crossSectionTheta]=std::cos(crossTheta); |
---|
| 2896 | sinCrossTheta[crossSectionTheta]=std::sin(crossTheta); |
---|
| 2897 | |
---|
| 2898 | rMinX=fRmin*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
| 2899 | rMinY=fRmin*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
| 2900 | rMinZ=fRmin*cosCrossTheta[crossSectionTheta]; |
---|
| 2901 | |
---|
| 2902 | vertex=G4ThreeVector(rMinX,rMinY,rMinZ); |
---|
| 2903 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
| 2904 | |
---|
| 2905 | } // Theta forward |
---|
| 2906 | |
---|
| 2907 | for (crossSectionTheta=noThetaSections-1; |
---|
| 2908 | crossSectionTheta>=0; crossSectionTheta--) |
---|
| 2909 | { |
---|
| 2910 | rMaxX=meshRMax*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
| 2911 | rMaxY=meshRMax*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
| 2912 | rMaxZ=meshRMax*cosCrossTheta[crossSectionTheta]; |
---|
| 2913 | |
---|
| 2914 | vertex=G4ThreeVector(rMaxX,rMaxY,rMaxZ); |
---|
| 2915 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
| 2916 | |
---|
| 2917 | } // Theta back |
---|
| 2918 | } // Phi |
---|
| 2919 | noPolygonVertices = noThetaSections*2 ; |
---|
| 2920 | } |
---|
| 2921 | else |
---|
| 2922 | { |
---|
| 2923 | DumpInfo(); |
---|
| 2924 | G4Exception("G4Sphere::CreateRotatedVertices()", |
---|
| 2925 | "FatalError", FatalException, |
---|
| 2926 | "Error in allocation of vertices. Out of memory !"); |
---|
| 2927 | } |
---|
| 2928 | |
---|
[1228] | 2929 | delete [] cosCrossTheta; |
---|
| 2930 | delete [] sinCrossTheta; |
---|
[831] | 2931 | |
---|
| 2932 | return vertices; |
---|
| 2933 | } |
---|
| 2934 | |
---|
| 2935 | ////////////////////////////////////////////////////////////////////////// |
---|
| 2936 | // |
---|
| 2937 | // G4EntityType |
---|
| 2938 | |
---|
| 2939 | G4GeometryType G4Sphere::GetEntityType() const |
---|
| 2940 | { |
---|
| 2941 | return G4String("G4Sphere"); |
---|
| 2942 | } |
---|
| 2943 | |
---|
| 2944 | ////////////////////////////////////////////////////////////////////////// |
---|
| 2945 | // |
---|
| 2946 | // Stream object contents to an output stream |
---|
| 2947 | |
---|
| 2948 | std::ostream& G4Sphere::StreamInfo( std::ostream& os ) const |
---|
| 2949 | { |
---|
| 2950 | os << "-----------------------------------------------------------\n" |
---|
| 2951 | << " *** Dump for solid - " << GetName() << " ***\n" |
---|
| 2952 | << " ===================================================\n" |
---|
| 2953 | << " Solid type: G4Sphere\n" |
---|
| 2954 | << " Parameters: \n" |
---|
| 2955 | << " inner radius: " << fRmin/mm << " mm \n" |
---|
| 2956 | << " outer radius: " << fRmax/mm << " mm \n" |
---|
| 2957 | << " starting phi of segment : " << fSPhi/degree << " degrees \n" |
---|
| 2958 | << " delta phi of segment : " << fDPhi/degree << " degrees \n" |
---|
| 2959 | << " starting theta of segment: " << fSTheta/degree << " degrees \n" |
---|
| 2960 | << " delta theta of segment : " << fDTheta/degree << " degrees \n" |
---|
| 2961 | << "-----------------------------------------------------------\n"; |
---|
| 2962 | |
---|
| 2963 | return os; |
---|
| 2964 | } |
---|
| 2965 | |
---|
| 2966 | //////////////////////////////////////////////////////////////////////////////// |
---|
| 2967 | // |
---|
| 2968 | // GetPointOnSurface |
---|
| 2969 | |
---|
| 2970 | G4ThreeVector G4Sphere::GetPointOnSurface() const |
---|
| 2971 | { |
---|
| 2972 | G4double zRand, aOne, aTwo, aThr, aFou, aFiv, chose, phi, sinphi, cosphi; |
---|
| 2973 | G4double height1, height2, slant1, slant2, costheta, sintheta,theta,rRand; |
---|
| 2974 | |
---|
[1228] | 2975 | height1 = (fRmax-fRmin)*cosSTheta; |
---|
| 2976 | height2 = (fRmax-fRmin)*cosETheta; |
---|
| 2977 | slant1 = std::sqrt(sqr((fRmax - fRmin)*sinSTheta) + height1*height1); |
---|
| 2978 | slant2 = std::sqrt(sqr((fRmax - fRmin)*sinETheta) + height2*height2); |
---|
[831] | 2979 | rRand = RandFlat::shoot(fRmin,fRmax); |
---|
| 2980 | |
---|
[1228] | 2981 | aOne = fRmax*fRmax*fDPhi*(cosSTheta-cosETheta); |
---|
| 2982 | aTwo = fRmin*fRmin*fDPhi*(cosSTheta-cosETheta); |
---|
| 2983 | aThr = fDPhi*((fRmax + fRmin)*sinSTheta)*slant1; |
---|
| 2984 | aFou = fDPhi*((fRmax + fRmin)*sinETheta)*slant2; |
---|
[831] | 2985 | aFiv = 0.5*fDTheta*(fRmax*fRmax-fRmin*fRmin); |
---|
| 2986 | |
---|
[1228] | 2987 | phi = RandFlat::shoot(fSPhi, ePhi); |
---|
[831] | 2988 | cosphi = std::cos(phi); |
---|
| 2989 | sinphi = std::sin(phi); |
---|
[1228] | 2990 | theta = RandFlat::shoot(fSTheta,eTheta); |
---|
[831] | 2991 | costheta = std::cos(theta); |
---|
| 2992 | sintheta = std::sqrt(1.-sqr(costheta)); |
---|
| 2993 | |
---|
[1228] | 2994 | if(fFullPhiSphere) { aFiv = 0; } |
---|
| 2995 | if(fSTheta == 0) { aThr=0; } |
---|
| 2996 | if(eTheta == pi) { aFou = 0; } |
---|
| 2997 | if(fSTheta == halfpi) { aThr = pi*(fRmax*fRmax-fRmin*fRmin); } |
---|
| 2998 | if(eTheta == halfpi) { aFou = pi*(fRmax*fRmax-fRmin*fRmin); } |
---|
[831] | 2999 | |
---|
| 3000 | chose = RandFlat::shoot(0.,aOne+aTwo+aThr+aFou+2.*aFiv); |
---|
| 3001 | if( (chose>=0.) && (chose<aOne) ) |
---|
| 3002 | { |
---|
| 3003 | return G4ThreeVector(fRmax*sintheta*cosphi, |
---|
| 3004 | fRmax*sintheta*sinphi, fRmax*costheta); |
---|
| 3005 | } |
---|
| 3006 | else if( (chose>=aOne) && (chose<aOne+aTwo) ) |
---|
| 3007 | { |
---|
| 3008 | return G4ThreeVector(fRmin*sintheta*cosphi, |
---|
| 3009 | fRmin*sintheta*sinphi, fRmin*costheta); |
---|
| 3010 | } |
---|
| 3011 | else if( (chose>=aOne+aTwo) && (chose<aOne+aTwo+aThr) ) |
---|
| 3012 | { |
---|
[1228] | 3013 | if (fSTheta != halfpi) |
---|
[831] | 3014 | { |
---|
[1228] | 3015 | zRand = RandFlat::shoot(fRmin*cosSTheta,fRmax*cosSTheta); |
---|
| 3016 | return G4ThreeVector(tanSTheta*zRand*cosphi, |
---|
| 3017 | tanSTheta*zRand*sinphi,zRand); |
---|
[831] | 3018 | } |
---|
| 3019 | else |
---|
| 3020 | { |
---|
| 3021 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
| 3022 | } |
---|
| 3023 | } |
---|
| 3024 | else if( (chose>=aOne+aTwo+aThr) && (chose<aOne+aTwo+aThr+aFou) ) |
---|
| 3025 | { |
---|
[1228] | 3026 | if(eTheta != halfpi) |
---|
[831] | 3027 | { |
---|
[1228] | 3028 | zRand = RandFlat::shoot(fRmin*cosETheta, fRmax*cosETheta); |
---|
| 3029 | return G4ThreeVector (tanETheta*zRand*cosphi, |
---|
| 3030 | tanETheta*zRand*sinphi,zRand); |
---|
[831] | 3031 | } |
---|
| 3032 | else |
---|
| 3033 | { |
---|
| 3034 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
| 3035 | } |
---|
| 3036 | } |
---|
| 3037 | else if( (chose>=aOne+aTwo+aThr+aFou) && (chose<aOne+aTwo+aThr+aFou+aFiv) ) |
---|
| 3038 | { |
---|
[1228] | 3039 | return G4ThreeVector(rRand*sintheta*cosSPhi, |
---|
| 3040 | rRand*sintheta*sinSPhi,rRand*costheta); |
---|
[831] | 3041 | } |
---|
| 3042 | else |
---|
| 3043 | { |
---|
[1228] | 3044 | return G4ThreeVector(rRand*sintheta*cosEPhi, |
---|
| 3045 | rRand*sintheta*sinEPhi,rRand*costheta); |
---|
[831] | 3046 | } |
---|
| 3047 | } |
---|
| 3048 | |
---|
[1228] | 3049 | //////////////////////////////////////////////////////////////////////////////// |
---|
| 3050 | // |
---|
| 3051 | // GetSurfaceArea |
---|
| 3052 | |
---|
| 3053 | G4double G4Sphere::GetSurfaceArea() |
---|
| 3054 | { |
---|
| 3055 | if(fSurfaceArea != 0.) {;} |
---|
| 3056 | else |
---|
| 3057 | { |
---|
| 3058 | G4double Rsq=fRmax*fRmax; |
---|
| 3059 | G4double rsq=fRmin*fRmin; |
---|
| 3060 | |
---|
| 3061 | fSurfaceArea = fDPhi*(rsq+Rsq)*(cosSTheta - cosETheta); |
---|
| 3062 | if(!fFullPhiSphere) |
---|
| 3063 | { |
---|
| 3064 | fSurfaceArea = fSurfaceArea + fDTheta*(Rsq-rsq); |
---|
| 3065 | } |
---|
| 3066 | if(fSTheta >0) |
---|
| 3067 | { |
---|
| 3068 | G4double acos1=std::acos( std::pow(sinSTheta,2) * std::cos(fDPhi) |
---|
| 3069 | + std::pow(cosSTheta,2)); |
---|
| 3070 | if(fDPhi>pi) |
---|
| 3071 | { |
---|
| 3072 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*(twopi-acos1); |
---|
| 3073 | } |
---|
| 3074 | else |
---|
| 3075 | { |
---|
| 3076 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*acos1; |
---|
| 3077 | } |
---|
| 3078 | } |
---|
| 3079 | if(eTheta < pi) |
---|
| 3080 | { |
---|
| 3081 | G4double acos2=std::acos( std::pow(sinETheta,2) * std::cos(fDPhi) |
---|
| 3082 | + std::pow(cosETheta,2)); |
---|
| 3083 | if(fDPhi>pi) |
---|
| 3084 | { |
---|
| 3085 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*(twopi-acos2); |
---|
| 3086 | } |
---|
| 3087 | else |
---|
| 3088 | { |
---|
| 3089 | fSurfaceArea = fSurfaceArea + 0.5*(Rsq-rsq)*acos2; |
---|
| 3090 | } |
---|
| 3091 | } |
---|
| 3092 | } |
---|
| 3093 | return fSurfaceArea; |
---|
| 3094 | } |
---|
| 3095 | |
---|
[831] | 3096 | ///////////////////////////////////////////////////////////////////////////// |
---|
| 3097 | // |
---|
| 3098 | // Methods for visualisation |
---|
| 3099 | |
---|
| 3100 | G4VisExtent G4Sphere::GetExtent() const |
---|
| 3101 | { |
---|
| 3102 | return G4VisExtent(-fRmax, fRmax,-fRmax, fRmax,-fRmax, fRmax ); |
---|
| 3103 | } |
---|
| 3104 | |
---|
| 3105 | |
---|
| 3106 | void G4Sphere::DescribeYourselfTo ( G4VGraphicsScene& scene ) const |
---|
| 3107 | { |
---|
| 3108 | scene.AddSolid (*this); |
---|
| 3109 | } |
---|
| 3110 | |
---|
| 3111 | G4Polyhedron* G4Sphere::CreatePolyhedron () const |
---|
| 3112 | { |
---|
| 3113 | return new G4PolyhedronSphere (fRmin, fRmax, fSPhi, fDPhi, fSTheta, fDTheta); |
---|
| 3114 | } |
---|
| 3115 | |
---|
| 3116 | G4NURBS* G4Sphere::CreateNURBS () const |
---|
| 3117 | { |
---|
| 3118 | return new G4NURBSbox (fRmax, fRmax, fRmax); // Box for now!!! |
---|
| 3119 | } |
---|