[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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| 27 | // $Id: G4TwistTrapAlphaSide.cc,v 1.8 2007/05/23 13:26:06 gcosmo Exp $ |
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[1058] | 28 | // GEANT4 tag $Name: geant4-09-02-ref-02 $ |
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[831] | 29 | // |
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| 30 | // |
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| 31 | // -------------------------------------------------------------------- |
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| 32 | // GEANT 4 class source file |
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| 33 | // |
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| 34 | // |
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| 35 | // G4TwistTrapAlphaSide.cc |
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| 36 | // |
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| 37 | // Author: |
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| 38 | // |
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| 39 | // 18/03/2005 - O.Link (Oliver.Link@cern.ch) |
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| 40 | // |
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| 41 | // -------------------------------------------------------------------- |
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| 42 | |
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| 43 | #include <cmath> |
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| 44 | |
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| 45 | #include "G4TwistTrapAlphaSide.hh" |
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| 46 | #include "G4JTPolynomialSolver.hh" |
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| 47 | |
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| 48 | //===================================================================== |
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| 49 | //* constructors ------------------------------------------------------ |
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| 50 | |
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| 51 | G4TwistTrapAlphaSide:: |
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| 52 | G4TwistTrapAlphaSide(const G4String &name, |
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| 53 | G4double PhiTwist, // twist angle |
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| 54 | G4double pDz, // half z lenght |
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| 55 | G4double pTheta, // direction between end planes |
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| 56 | G4double pPhi, // by polar and azimutal angles |
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| 57 | G4double pDy1, // half y length at -pDz |
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| 58 | G4double pDx1, // half x length at -pDz,-pDy |
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| 59 | G4double pDx2, // half x length at -pDz,+pDy |
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| 60 | G4double pDy2, // half y length at +pDz |
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| 61 | G4double pDx3, // half x length at +pDz,-pDy |
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| 62 | G4double pDx4, // half x length at +pDz,+pDy |
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| 63 | G4double pAlph, // tilt angle at +pDz |
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| 64 | G4double AngleSide // parity |
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| 65 | ) |
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| 66 | : G4VTwistSurface(name) |
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| 67 | { |
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| 68 | fAxis[0] = kYAxis; // in local coordinate system |
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| 69 | fAxis[1] = kZAxis; |
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| 70 | fAxisMin[0] = -kInfinity ; // Y Axis boundary |
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| 71 | fAxisMax[0] = kInfinity ; // depends on z !! |
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| 72 | fAxisMin[1] = -pDz ; // Z Axis boundary |
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| 73 | fAxisMax[1] = pDz ; |
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| 74 | |
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| 75 | fDx1 = pDx1 ; |
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| 76 | fDx2 = pDx2 ; |
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| 77 | fDx3 = pDx3 ; |
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| 78 | fDx4 = pDx4 ; |
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| 79 | |
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| 80 | fDy1 = pDy1 ; |
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| 81 | fDy2 = pDy2 ; |
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| 82 | |
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| 83 | fDz = pDz ; |
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| 84 | |
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| 85 | fAlph = pAlph ; |
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| 86 | fTAlph = std::tan(fAlph) ; |
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| 87 | |
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| 88 | fTheta = pTheta ; |
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| 89 | fPhi = pPhi ; |
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| 90 | |
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| 91 | // precalculate frequently used parameters |
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| 92 | fDx4plus2 = fDx4 + fDx2 ; |
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| 93 | fDx4minus2 = fDx4 - fDx2 ; |
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| 94 | fDx3plus1 = fDx3 + fDx1 ; |
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| 95 | fDx3minus1 = fDx3 - fDx1 ; |
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| 96 | fDy2plus1 = fDy2 + fDy1 ; |
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| 97 | fDy2minus1 = fDy2 - fDy1 ; |
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| 98 | |
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| 99 | fa1md1 = 2*fDx2 - 2*fDx1 ; |
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| 100 | fa2md2 = 2*fDx4 - 2*fDx3 ; |
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| 101 | |
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| 102 | fPhiTwist = PhiTwist ; // dphi |
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| 103 | fAngleSide = AngleSide ; // 0,90,180,270 deg |
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| 104 | |
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| 105 | fdeltaX = 2 * fDz * std::tan(fTheta) * std::cos(fPhi); |
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| 106 | // dx in surface equation |
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| 107 | fdeltaY = 2 * fDz * std::tan(fTheta) * std::sin(fPhi); |
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| 108 | // dy in surface equation |
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| 109 | |
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| 110 | fRot.rotateZ( AngleSide ) ; |
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| 111 | |
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| 112 | fTrans.set(0, 0, 0); // No Translation |
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| 113 | fIsValidNorm = false; |
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| 114 | |
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| 115 | SetCorners() ; |
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| 116 | SetBoundaries() ; |
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| 117 | |
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| 118 | } |
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| 119 | |
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| 120 | |
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| 121 | //===================================================================== |
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| 122 | //* Fake default constructor ------------------------------------------ |
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| 123 | |
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| 124 | G4TwistTrapAlphaSide::G4TwistTrapAlphaSide( __void__& a ) |
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| 125 | : G4VTwistSurface(a) |
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| 126 | { |
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| 127 | } |
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| 128 | |
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| 129 | |
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| 130 | //===================================================================== |
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| 131 | //* destructor -------------------------------------------------------- |
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| 132 | |
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| 133 | G4TwistTrapAlphaSide::~G4TwistTrapAlphaSide() |
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| 134 | { |
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| 135 | } |
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| 136 | |
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| 137 | |
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| 138 | //===================================================================== |
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| 139 | //* GetNormal --------------------------------------------------------- |
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| 140 | |
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| 141 | G4ThreeVector |
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| 142 | G4TwistTrapAlphaSide::GetNormal(const G4ThreeVector &tmpxx, |
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| 143 | G4bool isGlobal) |
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| 144 | { |
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| 145 | // GetNormal returns a normal vector at a surface (or very close |
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| 146 | // to surface) point at tmpxx. |
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| 147 | // If isGlobal=true, it returns the normal in global coordinate. |
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| 148 | // |
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| 149 | |
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| 150 | G4ThreeVector xx; |
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| 151 | if (isGlobal) |
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| 152 | { |
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| 153 | xx = ComputeLocalPoint(tmpxx); |
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| 154 | if ((xx - fCurrentNormal.p).mag() < 0.5 * kCarTolerance) |
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| 155 | { |
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| 156 | return ComputeGlobalDirection(fCurrentNormal.normal); |
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| 157 | } |
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| 158 | } |
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| 159 | else |
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| 160 | { |
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| 161 | xx = tmpxx; |
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| 162 | if (xx == fCurrentNormal.p) |
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| 163 | { |
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| 164 | return fCurrentNormal.normal; |
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| 165 | } |
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| 166 | } |
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| 167 | |
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| 168 | G4double phi ; |
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| 169 | G4double u ; |
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| 170 | |
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| 171 | GetPhiUAtX(xx,phi,u) ; // phi,u for point xx close to surface |
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| 172 | |
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| 173 | G4ThreeVector normal = NormAng(phi,u) ; // the normal vector at phi,u |
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| 174 | |
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| 175 | #ifdef G4TWISTDEBUG |
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| 176 | G4cout << "normal vector = " << normal << G4endl ; |
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| 177 | G4cout << "phi = " << phi << " , u = " << u << G4endl ; |
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| 178 | #endif |
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| 179 | |
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| 180 | if (isGlobal) |
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| 181 | { |
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| 182 | fCurrentNormal.normal = ComputeGlobalDirection(normal.unit()); |
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| 183 | } |
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| 184 | else |
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| 185 | { |
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| 186 | fCurrentNormal.normal = normal.unit(); |
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| 187 | } |
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| 188 | |
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| 189 | return fCurrentNormal.normal; |
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| 190 | } |
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| 191 | |
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| 192 | //===================================================================== |
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| 193 | //* DistanceToSurface ------------------------------------------------- |
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| 194 | |
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| 195 | G4int |
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| 196 | G4TwistTrapAlphaSide::DistanceToSurface(const G4ThreeVector &gp, |
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| 197 | const G4ThreeVector &gv, |
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| 198 | G4ThreeVector gxx[], |
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| 199 | G4double distance[], |
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| 200 | G4int areacode[], |
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| 201 | G4bool isvalid[], |
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| 202 | EValidate validate) |
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| 203 | { |
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| 204 | static const G4double ctol = 0.5 * kCarTolerance; |
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| 205 | static const G4double pihalf = pi/2 ; |
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| 206 | |
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| 207 | G4bool IsParallel = false ; |
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| 208 | G4bool IsConverged = false ; |
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| 209 | |
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| 210 | G4int nxx = 0 ; // number of physical solutions |
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| 211 | |
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| 212 | fCurStatWithV.ResetfDone(validate, &gp, &gv); |
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| 213 | |
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| 214 | if (fCurStatWithV.IsDone()) |
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| 215 | { |
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| 216 | for (register int i=0; i<fCurStatWithV.GetNXX(); i++) |
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| 217 | { |
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| 218 | gxx[i] = fCurStatWithV.GetXX(i); |
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| 219 | distance[i] = fCurStatWithV.GetDistance(i); |
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| 220 | areacode[i] = fCurStatWithV.GetAreacode(i); |
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| 221 | isvalid[i] = fCurStatWithV.IsValid(i); |
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| 222 | } |
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| 223 | return fCurStatWithV.GetNXX(); |
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| 224 | } |
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| 225 | else // initialise |
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| 226 | { |
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| 227 | for (register int j=0; j<G4VSURFACENXX ; j++) |
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| 228 | { |
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| 229 | distance[j] = kInfinity; |
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| 230 | areacode[j] = sOutside; |
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| 231 | isvalid[j] = false; |
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| 232 | gxx[j].set(kInfinity, kInfinity, kInfinity); |
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| 233 | } |
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| 234 | } |
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| 235 | |
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| 236 | G4ThreeVector p = ComputeLocalPoint(gp); |
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| 237 | G4ThreeVector v = ComputeLocalDirection(gv); |
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| 238 | |
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| 239 | #ifdef G4TWISTDEBUG |
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| 240 | G4cout << "Local point p = " << p << G4endl ; |
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| 241 | G4cout << "Local direction v = " << v << G4endl ; |
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| 242 | #endif |
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| 243 | |
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| 244 | G4double phi,u ; // parameters |
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| 245 | |
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| 246 | // temporary variables |
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| 247 | |
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| 248 | G4double tmpdist = kInfinity ; |
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| 249 | G4ThreeVector tmpxx; |
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| 250 | G4int tmpareacode = sOutside ; |
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| 251 | G4bool tmpisvalid = false ; |
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| 252 | |
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| 253 | std::vector<Intersection> xbuf ; |
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| 254 | Intersection xbuftmp ; |
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| 255 | |
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| 256 | // prepare some variables for the intersection finder |
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| 257 | |
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| 258 | G4double L = 2*fDz ; |
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| 259 | |
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| 260 | G4double phixz = fPhiTwist * ( p.x() * v.z() - p.z() * v.x() ) ; |
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| 261 | G4double phiyz = fPhiTwist * ( p.y() * v.z() - p.z() * v.y() ) ; |
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| 262 | |
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| 263 | |
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| 264 | // special case vz = 0 |
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| 265 | |
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| 266 | if ( v.z() == 0. ) |
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| 267 | { |
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| 268 | if ( std::fabs(p.z()) <= L ) // intersection possible in z |
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| 269 | { |
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| 270 | phi = p.z() * fPhiTwist / L ; // phi is determined by the z-position |
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| 271 | u = (fDy1*(4*(-(fdeltaY*phi*v.x()) + fPhiTwist*p.y()*v.x() |
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| 272 | + fdeltaX*phi*v.y() - fPhiTwist*p.x()*v.y()) |
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| 273 | + ((fDx3plus1 + fDx4plus2)*fPhiTwist |
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| 274 | + 2*(fDx3minus1 + fDx4minus2)*phi) |
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| 275 | *(v.y()*std::cos(phi) - v.x()*std::sin(phi)))) |
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| 276 | /(fPhiTwist*(4*fDy1* v.x() - (fa1md1 + 4*fDy1*fTAlph)*v.y()) |
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| 277 | *std::cos(phi) + fPhiTwist*(fa1md1*v.x() |
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| 278 | + 4*fDy1*(fTAlph*v.x() + v.y()))*std::sin(phi)); |
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| 279 | xbuftmp.phi = phi ; |
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| 280 | xbuftmp.u = u ; |
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| 281 | xbuftmp.areacode = sOutside ; |
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| 282 | xbuftmp.distance = kInfinity ; |
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| 283 | xbuftmp.isvalid = false ; |
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| 284 | |
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| 285 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
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| 286 | } |
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| 287 | else // no intersection possible |
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| 288 | { |
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| 289 | distance[0] = kInfinity; |
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| 290 | gxx[0].set(kInfinity,kInfinity,kInfinity); |
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| 291 | isvalid[0] = false ; |
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| 292 | areacode[0] = sOutside ; |
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| 293 | fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0], |
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| 294 | areacode[0], isvalid[0], |
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| 295 | 0, validate, &gp, &gv); |
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| 296 | return 0; |
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| 297 | } // end std::fabs(p.z() <= L |
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| 298 | } // end v.z() == 0 |
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| 299 | else // general solution for non-zero vz |
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| 300 | { |
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| 301 | |
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| 302 | G4double c[8],sr[7],si[7] ; |
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| 303 | |
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| 304 | c[7] = 57600* |
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| 305 | fDy1*(fa1md1*phiyz + |
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| 306 | fDy1*(-4*phixz + 4*fTAlph*phiyz |
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| 307 | + (fDx3plus1 + fDx4plus2)*fPhiTwist*v.z())) ; |
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| 308 | c[6] = -57600* |
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| 309 | fDy1*(4*fDy1*(phiyz + 2*fDz*v.x() + fTAlph*(phixz - 2*fDz*v.y())) |
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| 310 | - 2*fDy1*(2*fdeltaX + fDx3minus1 + fDx4minus2 |
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| 311 | - 2*fdeltaY*fTAlph)*v.z() |
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| 312 | + fa1md1*(phixz - 2*fDz*v.y() + fdeltaY*v.z())); |
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| 313 | c[5] = 4800* |
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| 314 | fDy1*(fa1md1*(-5*phiyz - 24*fDz*v.x() + 12*fdeltaX*v.z()) + |
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| 315 | fDy1*(20*phixz - 4*(5*fTAlph*phiyz + 24*fDz*fTAlph*v.x() |
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| 316 | + 24*fDz*v.y()) + (48*fdeltaY + (fDx3plus1 + fDx4plus2) |
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| 317 | *fPhiTwist + 48*fdeltaX*fTAlph)*v.z())); |
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| 318 | c[4] = 4800* |
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| 319 | fDy1*(fa1md1*(phixz - 10*fDz*v.y() + 5*fdeltaY*v.z()) |
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| 320 | + 2*fDy1*(2*phiyz + 20*fDz*v.x() |
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| 321 | + (-10*fdeltaX + fDx3minus1 + fDx4minus2)*v.z() |
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| 322 | + 2*fTAlph*(phixz - 10*fDz*v.y() + 5*fdeltaY*v.z()))); |
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| 323 | c[3] = -96* |
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| 324 | fDy1*(-(fa1md1*(phiyz + 100*fDz*v.x() - 50*fdeltaX*v.z())) |
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| 325 | + fDy1*(4*phixz - 400*fDz*v.y() |
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| 326 | + (200*fdeltaY - (fDx3plus1 + fDx4plus2)*fPhiTwist)*v.z() |
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| 327 | - 4*fTAlph*(phiyz + 100*fDz*v.x() - 50*fdeltaX*v.z()))); |
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| 328 | c[2] = 32* |
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| 329 | fDy1*(4*fDy1*(7*fTAlph*phixz + 7*phiyz - 6*fDz*v.x() + 6*fDz*fTAlph*v.y()) |
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| 330 | + 6*fDy1*(2*fdeltaX+fDx3minus1+fDx4minus2-2*fdeltaY*fTAlph)*v.z() |
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| 331 | + fa1md1*(7*phixz + 6*fDz*v.y() - 3*fdeltaY*v.z())); |
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| 332 | c[1] = -8* |
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| 333 | fDy1*(fa1md1*(-9*phiyz - 56*fDz*v.x() + 28*fdeltaX*v.z()) |
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| 334 | + 4*fDy1*(9*phixz - 9*fTAlph*phiyz - 56*fDz*fTAlph*v.x() |
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| 335 | - 56*fDz*v.y() + 28*(fdeltaY + fdeltaX*fTAlph)*v.z())); |
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| 336 | c[0] = 72* |
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| 337 | fDy1*(fa1md1*(2*fDz*v.y() - fdeltaY*v.z()) |
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| 338 | + fDy1*(-8*fDz*v.x() + 8*fDz*fTAlph*v.y() |
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| 339 | + 4*fdeltaX*v.z() - 4*fdeltaY*fTAlph*v.z())); |
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| 340 | |
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| 341 | #ifdef G4TWISTDEBUG |
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| 342 | G4cout << "coef = " << c[0] << " " |
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| 343 | << c[1] << " " |
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| 344 | << c[2] << " " |
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| 345 | << c[3] << " " |
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| 346 | << c[4] << " " |
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| 347 | << c[5] << " " |
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| 348 | << c[6] << " " |
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| 349 | << c[7] << G4endl ; |
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| 350 | #endif |
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| 351 | |
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| 352 | G4JTPolynomialSolver trapEq ; |
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| 353 | G4int num = trapEq.FindRoots(c,7,sr,si); |
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| 354 | |
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| 355 | for (register int i = 0 ; i<num ; i++ ) // loop over all math solutions |
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| 356 | { |
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| 357 | if ( si[i]==0.0 ) // only real solutions |
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| 358 | { |
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| 359 | #ifdef G4TWISTDEBUG |
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| 360 | G4cout << "Solution " << i << " : " << sr[i] << G4endl ; |
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| 361 | #endif |
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| 362 | phi = std::fmod(sr[i] , pihalf) ; |
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| 363 | u = (fDy1*(4*(phiyz + 2*fDz*phi*v.y() - fdeltaY*phi*v.z()) |
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| 364 | - ((fDx3plus1 + fDx4plus2)*fPhiTwist |
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| 365 | + 2*(fDx3minus1 + fDx4minus2)*phi)*v.z()*std::sin(phi))) |
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| 366 | /(fPhiTwist*v.z()*(4*fDy1*std::cos(phi) |
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| 367 | + (fa1md1 + 4*fDy1*fTAlph)*std::sin(phi))); |
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| 368 | xbuftmp.phi = phi ; |
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| 369 | xbuftmp.u = u ; |
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| 370 | xbuftmp.areacode = sOutside ; |
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| 371 | xbuftmp.distance = kInfinity ; |
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| 372 | xbuftmp.isvalid = false ; |
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| 373 | |
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| 374 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
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| 375 | |
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| 376 | #ifdef G4TWISTDEBUG |
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| 377 | G4cout << "solution " << i << " = " << phi << " , " << u << G4endl ; |
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| 378 | #endif |
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| 379 | } // end if real solution |
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| 380 | } // end loop i |
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| 381 | } // end general case |
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| 382 | |
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| 383 | nxx = xbuf.size() ; // save the number of solutions |
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| 384 | |
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| 385 | G4ThreeVector xxonsurface ; // point on surface |
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| 386 | G4ThreeVector surfacenormal ; // normal vector |
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| 387 | G4double deltaX; // distance between intersection point and point on surface |
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| 388 | G4double theta; // angle between track and surfacenormal |
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| 389 | G4double factor; // a scaling factor |
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| 390 | G4int maxint=30; // number of iterations |
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| 391 | |
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| 392 | for ( register size_t k = 0 ; k<xbuf.size() ; k++ ) |
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| 393 | { |
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| 394 | #ifdef G4TWISTDEBUG |
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| 395 | G4cout << "Solution " << k << " : " |
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| 396 | << "reconstructed phiR = " << xbuf[k].phi |
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| 397 | << ", uR = " << xbuf[k].u << G4endl ; |
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| 398 | #endif |
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| 399 | |
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| 400 | phi = xbuf[k].phi ; // get the stored values for phi and u |
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| 401 | u = xbuf[k].u ; |
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| 402 | |
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| 403 | IsConverged = false ; // no convergence at the beginning |
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| 404 | |
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| 405 | for ( register int i = 1 ; i<maxint ; i++ ) |
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| 406 | { |
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| 407 | xxonsurface = SurfacePoint(phi,u) ; |
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| 408 | surfacenormal = NormAng(phi,u) ; |
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| 409 | |
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| 410 | tmpdist = DistanceToPlaneWithV(p, v, xxonsurface, surfacenormal, tmpxx); |
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| 411 | deltaX = ( tmpxx - xxonsurface ).mag() ; |
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| 412 | theta = std::fabs(std::acos(v*surfacenormal) - pihalf) ; |
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| 413 | if ( theta < 0.001 ) |
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| 414 | { |
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| 415 | factor = 50 ; |
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| 416 | IsParallel = true ; |
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| 417 | } |
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| 418 | else |
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| 419 | { |
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| 420 | factor = 1 ; |
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| 421 | } |
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| 422 | |
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| 423 | #ifdef G4TWISTDEBUG |
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| 424 | G4cout << "Step i = " << i << ", distance = " << tmpdist |
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| 425 | << ", " << deltaX << G4endl ; |
---|
| 426 | G4cout << "X = " << tmpxx << G4endl ; |
---|
| 427 | #endif |
---|
| 428 | |
---|
| 429 | GetPhiUAtX(tmpxx, phi, u) ; |
---|
| 430 | // the new point xx is accepted and phi/u replaced |
---|
| 431 | |
---|
| 432 | #ifdef G4TWISTDEBUG |
---|
| 433 | G4cout << "approximated phi = " << phi << ", u = " << u << G4endl ; |
---|
| 434 | #endif |
---|
| 435 | |
---|
| 436 | if ( deltaX <= factor*ctol ) { IsConverged = true ; break ; } |
---|
| 437 | |
---|
| 438 | } // end iterative loop (i) |
---|
| 439 | |
---|
| 440 | if ( std::fabs(tmpdist)<ctol ) { tmpdist = 0 ; } |
---|
| 441 | |
---|
| 442 | #ifdef G4TWISTDEBUG |
---|
| 443 | G4cout << "refined solution " << phi << " , " << u << G4endl ; |
---|
| 444 | G4cout << "distance = " << tmpdist << G4endl ; |
---|
| 445 | G4cout << "local X = " << tmpxx << G4endl ; |
---|
| 446 | #endif |
---|
| 447 | |
---|
| 448 | tmpisvalid = false ; // init |
---|
| 449 | |
---|
| 450 | if ( IsConverged ) |
---|
| 451 | { |
---|
| 452 | if (validate == kValidateWithTol) |
---|
| 453 | { |
---|
| 454 | tmpareacode = GetAreaCode(tmpxx); |
---|
| 455 | if (!IsOutside(tmpareacode)) |
---|
| 456 | { |
---|
| 457 | if (tmpdist >= 0) tmpisvalid = true; |
---|
| 458 | } |
---|
| 459 | } |
---|
| 460 | else if (validate == kValidateWithoutTol) |
---|
| 461 | { |
---|
| 462 | tmpareacode = GetAreaCode(tmpxx, false); |
---|
| 463 | if (IsInside(tmpareacode)) |
---|
| 464 | { |
---|
| 465 | if (tmpdist >= 0) { tmpisvalid = true; } |
---|
| 466 | } |
---|
| 467 | } |
---|
| 468 | else // kDontValidate |
---|
| 469 | { |
---|
| 470 | G4Exception("G4TwistTrapAlphaSide::DistanceToSurface()", |
---|
| 471 | "NotImplemented kDontValidate", FatalException, |
---|
| 472 | "Feature NOT implemented !"); |
---|
| 473 | } |
---|
| 474 | } |
---|
| 475 | else |
---|
| 476 | { |
---|
| 477 | tmpdist = kInfinity; // no convergence after 10 steps |
---|
| 478 | tmpisvalid = false ; // solution is not vaild |
---|
| 479 | } |
---|
| 480 | |
---|
| 481 | // store the found values |
---|
| 482 | // |
---|
| 483 | xbuf[k].xx = tmpxx ; |
---|
| 484 | xbuf[k].distance = tmpdist ; |
---|
| 485 | xbuf[k].areacode = tmpareacode ; |
---|
| 486 | xbuf[k].isvalid = tmpisvalid ; |
---|
| 487 | |
---|
| 488 | } // end loop over physical solutions (variable k) |
---|
| 489 | |
---|
| 490 | std::sort(xbuf.begin() , xbuf.end(), DistanceSort ) ; // sorting |
---|
| 491 | |
---|
| 492 | #ifdef G4TWISTDEBUG |
---|
| 493 | G4cout << G4endl << "list xbuf after sorting : " << G4endl ; |
---|
| 494 | G4cout << G4endl << G4endl ; |
---|
| 495 | #endif |
---|
| 496 | |
---|
| 497 | // erase identical intersection (within kCarTolerance) |
---|
| 498 | // |
---|
| 499 | xbuf.erase( std::unique(xbuf.begin(), xbuf.end() , EqualIntersection ), |
---|
| 500 | xbuf.end() ); |
---|
| 501 | |
---|
| 502 | |
---|
| 503 | // add guesses |
---|
| 504 | // |
---|
| 505 | G4int nxxtmp = xbuf.size() ; |
---|
| 506 | |
---|
| 507 | if ( nxxtmp<2 || IsParallel ) // positive end |
---|
| 508 | { |
---|
| 509 | |
---|
| 510 | #ifdef G4TWISTDEBUG |
---|
| 511 | G4cout << "add guess at +z/2 .. " << G4endl ; |
---|
| 512 | #endif |
---|
| 513 | |
---|
| 514 | phi = fPhiTwist/2 ; |
---|
| 515 | u = 0 ; |
---|
| 516 | |
---|
| 517 | xbuftmp.phi = phi ; |
---|
| 518 | xbuftmp.u = u ; |
---|
| 519 | xbuftmp.areacode = sOutside ; |
---|
| 520 | xbuftmp.distance = kInfinity ; |
---|
| 521 | xbuftmp.isvalid = false ; |
---|
| 522 | |
---|
| 523 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
---|
| 524 | |
---|
| 525 | #ifdef G4TWISTDEBUG |
---|
| 526 | G4cout << "add guess at -z/2 .. " << G4endl ; |
---|
| 527 | #endif |
---|
| 528 | |
---|
| 529 | phi = -fPhiTwist/2 ; |
---|
| 530 | u = 0 ; |
---|
| 531 | |
---|
| 532 | xbuftmp.phi = phi ; |
---|
| 533 | xbuftmp.u = u ; |
---|
| 534 | xbuftmp.areacode = sOutside ; |
---|
| 535 | xbuftmp.distance = kInfinity ; |
---|
| 536 | xbuftmp.isvalid = false ; |
---|
| 537 | |
---|
| 538 | xbuf.push_back(xbuftmp) ; // store it to xbuf |
---|
| 539 | |
---|
| 540 | for ( register size_t k = nxxtmp ; k<xbuf.size() ; k++ ) |
---|
| 541 | { |
---|
| 542 | |
---|
| 543 | #ifdef G4TWISTDEBUG |
---|
| 544 | G4cout << "Solution " << k << " : " |
---|
| 545 | << "reconstructed phiR = " << xbuf[k].phi |
---|
| 546 | << ", uR = " << xbuf[k].u << G4endl ; |
---|
| 547 | #endif |
---|
| 548 | |
---|
| 549 | phi = xbuf[k].phi ; // get the stored values for phi and u |
---|
| 550 | u = xbuf[k].u ; |
---|
| 551 | |
---|
| 552 | IsConverged = false ; // no convergence at the beginning |
---|
| 553 | |
---|
| 554 | for ( register int i = 1 ; i<maxint ; i++ ) |
---|
| 555 | { |
---|
| 556 | xxonsurface = SurfacePoint(phi,u) ; |
---|
| 557 | surfacenormal = NormAng(phi,u) ; |
---|
| 558 | tmpdist = DistanceToPlaneWithV(p, v, xxonsurface, surfacenormal, tmpxx); |
---|
| 559 | deltaX = ( tmpxx - xxonsurface ).mag(); |
---|
| 560 | theta = std::fabs(std::acos(v*surfacenormal) - pihalf); |
---|
| 561 | if ( theta < 0.001 ) |
---|
| 562 | { |
---|
| 563 | factor = 50 ; |
---|
| 564 | } |
---|
| 565 | else |
---|
| 566 | { |
---|
| 567 | factor = 1 ; |
---|
| 568 | } |
---|
| 569 | |
---|
| 570 | #ifdef G4TWISTDEBUG |
---|
| 571 | G4cout << "Step i = " << i << ", distance = " << tmpdist |
---|
| 572 | << ", " << deltaX << G4endl |
---|
| 573 | << "X = " << tmpxx << G4endl ; |
---|
| 574 | #endif |
---|
| 575 | |
---|
| 576 | GetPhiUAtX(tmpxx, phi, u) ; |
---|
| 577 | // the new point xx is accepted and phi/u replaced |
---|
| 578 | |
---|
| 579 | #ifdef G4TWISTDEBUG |
---|
| 580 | G4cout << "approximated phi = " << phi << ", u = " << u << G4endl ; |
---|
| 581 | #endif |
---|
| 582 | |
---|
| 583 | if ( deltaX <= factor*ctol ) { IsConverged = true ; break ; } |
---|
| 584 | |
---|
| 585 | } // end iterative loop (i) |
---|
| 586 | |
---|
| 587 | if ( std::fabs(tmpdist)<ctol ) { tmpdist = 0; } |
---|
| 588 | |
---|
| 589 | #ifdef G4TWISTDEBUG |
---|
| 590 | G4cout << "refined solution " << phi << " , " << u << G4endl ; |
---|
| 591 | G4cout << "distance = " << tmpdist << G4endl ; |
---|
| 592 | G4cout << "local X = " << tmpxx << G4endl ; |
---|
| 593 | #endif |
---|
| 594 | |
---|
| 595 | tmpisvalid = false ; // init |
---|
| 596 | |
---|
| 597 | if ( IsConverged ) |
---|
| 598 | { |
---|
| 599 | if (validate == kValidateWithTol) |
---|
| 600 | { |
---|
| 601 | tmpareacode = GetAreaCode(tmpxx); |
---|
| 602 | if (!IsOutside(tmpareacode)) |
---|
| 603 | { |
---|
| 604 | if (tmpdist >= 0) { tmpisvalid = true; } |
---|
| 605 | } |
---|
| 606 | } |
---|
| 607 | else if (validate == kValidateWithoutTol) |
---|
| 608 | { |
---|
| 609 | tmpareacode = GetAreaCode(tmpxx, false); |
---|
| 610 | if (IsInside(tmpareacode)) |
---|
| 611 | { |
---|
| 612 | if (tmpdist >= 0) { tmpisvalid = true; } |
---|
| 613 | } |
---|
| 614 | } |
---|
| 615 | else // kDontValidate |
---|
| 616 | { |
---|
| 617 | G4Exception("G4TwistedBoxSide::DistanceToSurface()", |
---|
| 618 | "NotImplemented kDontValidate", FatalException, |
---|
| 619 | "Feature NOT implemented !"); |
---|
| 620 | } |
---|
| 621 | } |
---|
| 622 | else |
---|
| 623 | { |
---|
| 624 | tmpdist = kInfinity; // no convergence after 10 steps |
---|
| 625 | tmpisvalid = false ; // solution is not vaild |
---|
| 626 | } |
---|
| 627 | |
---|
| 628 | // store the found values |
---|
| 629 | // |
---|
| 630 | xbuf[k].xx = tmpxx ; |
---|
| 631 | xbuf[k].distance = tmpdist ; |
---|
| 632 | xbuf[k].areacode = tmpareacode ; |
---|
| 633 | xbuf[k].isvalid = tmpisvalid ; |
---|
| 634 | |
---|
| 635 | } // end loop over physical solutions |
---|
| 636 | } // end less than 2 solutions |
---|
| 637 | |
---|
| 638 | // sort again |
---|
| 639 | std::sort(xbuf.begin() , xbuf.end(), DistanceSort ) ; // sorting |
---|
| 640 | |
---|
| 641 | // erase identical intersection (within kCarTolerance) |
---|
| 642 | xbuf.erase( std::unique(xbuf.begin(), xbuf.end() , EqualIntersection ) , |
---|
| 643 | xbuf.end() ); |
---|
| 644 | |
---|
| 645 | #ifdef G4TWISTDEBUG |
---|
| 646 | G4cout << G4endl << "list xbuf after sorting : " << G4endl ; |
---|
| 647 | G4cout << G4endl << G4endl ; |
---|
| 648 | #endif |
---|
| 649 | |
---|
| 650 | nxx = xbuf.size() ; // determine number of solutions again. |
---|
| 651 | |
---|
| 652 | for ( register size_t i = 0 ; i<xbuf.size() ; i++ ) |
---|
| 653 | { |
---|
| 654 | distance[i] = xbuf[i].distance; |
---|
| 655 | gxx[i] = ComputeGlobalPoint(xbuf[i].xx); |
---|
| 656 | areacode[i] = xbuf[i].areacode ; |
---|
| 657 | isvalid[i] = xbuf[i].isvalid ; |
---|
| 658 | |
---|
| 659 | fCurStatWithV.SetCurrentStatus(i, gxx[i], distance[i], areacode[i], |
---|
| 660 | isvalid[i], nxx, validate, &gp, &gv); |
---|
| 661 | #ifdef G4TWISTDEBUG |
---|
| 662 | G4cout << "element Nr. " << i |
---|
| 663 | << ", local Intersection = " << xbuf[i].xx |
---|
| 664 | << ", distance = " << xbuf[i].distance |
---|
| 665 | << ", u = " << xbuf[i].u |
---|
| 666 | << ", phi = " << xbuf[i].phi |
---|
| 667 | << ", isvalid = " << xbuf[i].isvalid |
---|
| 668 | << G4endl ; |
---|
| 669 | #endif |
---|
| 670 | |
---|
| 671 | } // end for( i ) loop |
---|
| 672 | |
---|
| 673 | #ifdef G4TWISTDEBUG |
---|
| 674 | G4cout << "G4TwistTrapAlphaSide finished " << G4endl ; |
---|
| 675 | G4cout << nxx << " possible physical solutions found" << G4endl ; |
---|
| 676 | for ( G4int k= 0 ; k< nxx ; k++ ) |
---|
| 677 | { |
---|
| 678 | G4cout << "global intersection Point found: " << gxx[k] << G4endl ; |
---|
| 679 | G4cout << "distance = " << distance[k] << G4endl ; |
---|
| 680 | G4cout << "isvalid = " << isvalid[k] << G4endl ; |
---|
| 681 | } |
---|
| 682 | #endif |
---|
| 683 | |
---|
| 684 | return nxx ; |
---|
| 685 | } |
---|
| 686 | |
---|
| 687 | |
---|
| 688 | //===================================================================== |
---|
| 689 | //* DistanceToSurface ------------------------------------------------- |
---|
| 690 | |
---|
| 691 | G4int |
---|
| 692 | G4TwistTrapAlphaSide::DistanceToSurface(const G4ThreeVector &gp, |
---|
| 693 | G4ThreeVector gxx[], |
---|
| 694 | G4double distance[], |
---|
| 695 | G4int areacode[]) |
---|
| 696 | { |
---|
| 697 | static const G4double ctol = 0.5 * kCarTolerance; |
---|
| 698 | |
---|
| 699 | fCurStat.ResetfDone(kDontValidate, &gp); |
---|
| 700 | |
---|
| 701 | if (fCurStat.IsDone()) |
---|
| 702 | { |
---|
| 703 | for (register int i=0; i<fCurStat.GetNXX(); i++) |
---|
| 704 | { |
---|
| 705 | gxx[i] = fCurStat.GetXX(i); |
---|
| 706 | distance[i] = fCurStat.GetDistance(i); |
---|
| 707 | areacode[i] = fCurStat.GetAreacode(i); |
---|
| 708 | } |
---|
| 709 | return fCurStat.GetNXX(); |
---|
| 710 | } |
---|
| 711 | else // initialize |
---|
| 712 | { |
---|
| 713 | for (register int i=0; i<G4VSURFACENXX; i++) |
---|
| 714 | { |
---|
| 715 | distance[i] = kInfinity; |
---|
| 716 | areacode[i] = sOutside; |
---|
| 717 | gxx[i].set(kInfinity, kInfinity, kInfinity); |
---|
| 718 | } |
---|
| 719 | } |
---|
| 720 | |
---|
| 721 | G4ThreeVector p = ComputeLocalPoint(gp); |
---|
| 722 | G4ThreeVector xx; // intersection point |
---|
| 723 | G4ThreeVector xxonsurface ; // interpolated intersection point |
---|
| 724 | |
---|
| 725 | // the surfacenormal at that surface point |
---|
| 726 | // |
---|
| 727 | G4double phiR = 0 ; |
---|
| 728 | G4double uR = 0 ; |
---|
| 729 | |
---|
| 730 | G4ThreeVector surfacenormal ; |
---|
| 731 | G4double deltaX, uMax ; |
---|
| 732 | G4double halfphi = 0.5*fPhiTwist ; |
---|
| 733 | |
---|
| 734 | for ( register int i = 1 ; i<20 ; i++ ) |
---|
| 735 | { |
---|
| 736 | xxonsurface = SurfacePoint(phiR,uR) ; |
---|
| 737 | surfacenormal = NormAng(phiR,uR) ; |
---|
| 738 | distance[0] = DistanceToPlane(p,xxonsurface,surfacenormal,xx); // new XX |
---|
| 739 | deltaX = ( xx - xxonsurface ).mag() ; |
---|
| 740 | |
---|
| 741 | #ifdef G4TWISTDEBUG |
---|
| 742 | G4cout << "i = " << i << ", distance = " << distance[0] |
---|
| 743 | << ", " << deltaX << G4endl |
---|
| 744 | << "X = " << xx << G4endl ; |
---|
| 745 | #endif |
---|
| 746 | |
---|
| 747 | // the new point xx is accepted and phi/psi replaced |
---|
| 748 | // |
---|
| 749 | GetPhiUAtX(xx, phiR, uR) ; |
---|
| 750 | |
---|
| 751 | if ( deltaX <= ctol ) { break ; } |
---|
| 752 | } |
---|
| 753 | |
---|
| 754 | // check validity of solution ( valid phi,psi ) |
---|
| 755 | |
---|
| 756 | uMax = GetBoundaryMax(phiR) ; |
---|
| 757 | |
---|
| 758 | if ( phiR > halfphi ) { phiR = halfphi ; } |
---|
| 759 | if ( phiR < -halfphi ) { phiR = -halfphi ; } |
---|
| 760 | if ( uR > uMax ) { uR = uMax ; } |
---|
| 761 | if ( uR < -uMax ) { uR = -uMax ; } |
---|
| 762 | |
---|
| 763 | xxonsurface = SurfacePoint(phiR,uR) ; |
---|
| 764 | distance[0] = ( p - xx ).mag() ; |
---|
| 765 | if ( distance[0] <= ctol ) { distance[0] = 0 ; } |
---|
| 766 | |
---|
| 767 | // end of validity |
---|
| 768 | |
---|
| 769 | #ifdef G4TWISTDEBUG |
---|
| 770 | G4cout << "refined solution " << phiR << " , " << uR << " , " << G4endl ; |
---|
| 771 | G4cout << "distance = " << distance[0] << G4endl ; |
---|
| 772 | G4cout << "X = " << xx << G4endl ; |
---|
| 773 | #endif |
---|
| 774 | |
---|
| 775 | G4bool isvalid = true; |
---|
| 776 | gxx[0] = ComputeGlobalPoint(xx); |
---|
| 777 | |
---|
| 778 | #ifdef G4TWISTDEBUG |
---|
| 779 | G4cout << "intersection Point found: " << gxx[0] << G4endl ; |
---|
| 780 | G4cout << "distance = " << distance[0] << G4endl ; |
---|
| 781 | #endif |
---|
| 782 | |
---|
| 783 | fCurStat.SetCurrentStatus(0, gxx[0], distance[0], areacode[0], |
---|
| 784 | isvalid, 1, kDontValidate, &gp); |
---|
| 785 | return 1; |
---|
| 786 | } |
---|
| 787 | |
---|
| 788 | |
---|
| 789 | //===================================================================== |
---|
| 790 | //* GetAreaCode ------------------------------------------------------- |
---|
| 791 | |
---|
| 792 | G4int |
---|
| 793 | G4TwistTrapAlphaSide::GetAreaCode(const G4ThreeVector &xx, G4bool withTol) |
---|
| 794 | { |
---|
| 795 | // We must use the function in local coordinate system. |
---|
| 796 | // See the description of DistanceToSurface(p,v). |
---|
| 797 | |
---|
| 798 | static const G4double ctol = 0.5 * kCarTolerance; |
---|
| 799 | |
---|
| 800 | G4double phi ; |
---|
| 801 | G4double yprime ; |
---|
| 802 | GetPhiUAtX(xx, phi,yprime ) ; |
---|
| 803 | |
---|
| 804 | G4double fYAxisMax = GetBoundaryMax(phi) ; |
---|
| 805 | G4double fYAxisMin = GetBoundaryMin(phi) ; |
---|
| 806 | |
---|
| 807 | #ifdef G4TWISTDEBUG |
---|
| 808 | G4cout << "GetAreaCode: phi = " << phi << G4endl ; |
---|
| 809 | G4cout << "GetAreaCode: yprime = " << yprime << G4endl ; |
---|
| 810 | G4cout << "Intervall is " << fYAxisMin << " to " << fYAxisMax << G4endl ; |
---|
| 811 | #endif |
---|
| 812 | |
---|
| 813 | G4int areacode = sInside; |
---|
| 814 | |
---|
| 815 | if (fAxis[0] == kYAxis && fAxis[1] == kZAxis) |
---|
| 816 | { |
---|
| 817 | G4int zaxis = 1; |
---|
| 818 | |
---|
| 819 | if (withTol) |
---|
| 820 | { |
---|
| 821 | G4bool isoutside = false; |
---|
| 822 | |
---|
| 823 | // test boundary of yaxis |
---|
| 824 | |
---|
| 825 | if (yprime < fYAxisMin + ctol) |
---|
| 826 | { |
---|
| 827 | areacode |= (sAxis0 & (sAxisY | sAxisMin)) | sBoundary; |
---|
| 828 | if (yprime <= fYAxisMin - ctol) { isoutside = true; } |
---|
| 829 | |
---|
| 830 | } |
---|
| 831 | else if (yprime > fYAxisMax - ctol) |
---|
| 832 | { |
---|
| 833 | areacode |= (sAxis0 & (sAxisY | sAxisMax)) | sBoundary; |
---|
| 834 | if (yprime >= fYAxisMax + ctol) { isoutside = true; } |
---|
| 835 | } |
---|
| 836 | |
---|
| 837 | // test boundary of z-axis |
---|
| 838 | |
---|
| 839 | if (xx.z() < fAxisMin[zaxis] + ctol) |
---|
| 840 | { |
---|
| 841 | areacode |= (sAxis1 & (sAxisZ | sAxisMin)); |
---|
| 842 | |
---|
| 843 | if (areacode & sBoundary) // xx is on the corner |
---|
| 844 | { areacode |= sCorner; } |
---|
| 845 | |
---|
| 846 | else |
---|
| 847 | { areacode |= sBoundary; } |
---|
| 848 | if (xx.z() <= fAxisMin[zaxis] - ctol) { isoutside = true; } |
---|
| 849 | } |
---|
| 850 | else if (xx.z() > fAxisMax[zaxis] - ctol) |
---|
| 851 | { |
---|
| 852 | areacode |= (sAxis1 & (sAxisZ | sAxisMax)); |
---|
| 853 | |
---|
| 854 | if (areacode & sBoundary) // xx is on the corner |
---|
| 855 | { areacode |= sCorner; } |
---|
| 856 | else |
---|
| 857 | { areacode |= sBoundary; } |
---|
| 858 | if (xx.z() >= fAxisMax[zaxis] + ctol) { isoutside = true; } |
---|
| 859 | } |
---|
| 860 | |
---|
| 861 | // if isoutside = true, clear inside bit. |
---|
| 862 | // if not on boundary, add axis information. |
---|
| 863 | |
---|
| 864 | if (isoutside) |
---|
| 865 | { |
---|
| 866 | G4int tmpareacode = areacode & (~sInside); |
---|
| 867 | areacode = tmpareacode; |
---|
| 868 | } |
---|
| 869 | else if ((areacode & sBoundary) != sBoundary) |
---|
| 870 | { |
---|
| 871 | areacode |= (sAxis0 & sAxisY) | (sAxis1 & sAxisZ); |
---|
| 872 | } |
---|
| 873 | |
---|
| 874 | } |
---|
| 875 | else |
---|
| 876 | { |
---|
| 877 | // boundary of y-axis |
---|
| 878 | |
---|
| 879 | if (yprime < fYAxisMin ) |
---|
| 880 | { |
---|
| 881 | areacode |= (sAxis0 & (sAxisY | sAxisMin)) | sBoundary; |
---|
| 882 | } |
---|
| 883 | else if (yprime > fYAxisMax) |
---|
| 884 | { |
---|
| 885 | areacode |= (sAxis0 & (sAxisY | sAxisMax)) | sBoundary; |
---|
| 886 | } |
---|
| 887 | |
---|
| 888 | // boundary of z-axis |
---|
| 889 | |
---|
| 890 | if (xx.z() < fAxisMin[zaxis]) |
---|
| 891 | { |
---|
| 892 | areacode |= (sAxis1 & (sAxisZ | sAxisMin)); |
---|
| 893 | if (areacode & sBoundary) // xx is on the corner |
---|
| 894 | { areacode |= sCorner; } |
---|
| 895 | else |
---|
| 896 | { areacode |= sBoundary; } |
---|
| 897 | } |
---|
| 898 | else if (xx.z() > fAxisMax[zaxis]) |
---|
| 899 | { |
---|
| 900 | areacode |= (sAxis1 & (sAxisZ | sAxisMax)) ; |
---|
| 901 | if (areacode & sBoundary) // xx is on the corner |
---|
| 902 | { areacode |= sCorner; } |
---|
| 903 | else |
---|
| 904 | { areacode |= sBoundary; } |
---|
| 905 | } |
---|
| 906 | |
---|
| 907 | if ((areacode & sBoundary) != sBoundary) |
---|
| 908 | { |
---|
| 909 | areacode |= (sAxis0 & sAxisY) | (sAxis1 & sAxisZ); |
---|
| 910 | } |
---|
| 911 | } |
---|
| 912 | return areacode; |
---|
| 913 | } |
---|
| 914 | else |
---|
| 915 | { |
---|
| 916 | G4Exception("G4TwistTrapAlphaSide::GetAreaCode()", |
---|
| 917 | "NotImplemented", FatalException, |
---|
| 918 | "Feature NOT implemented !"); |
---|
| 919 | } |
---|
| 920 | return areacode; |
---|
| 921 | } |
---|
| 922 | |
---|
| 923 | //===================================================================== |
---|
| 924 | //* SetCorners() ------------------------------------------------------ |
---|
| 925 | |
---|
| 926 | void G4TwistTrapAlphaSide::SetCorners() |
---|
| 927 | { |
---|
| 928 | |
---|
| 929 | // Set Corner points in local coodinate. |
---|
| 930 | |
---|
| 931 | if (fAxis[0] == kYAxis && fAxis[1] == kZAxis) |
---|
| 932 | { |
---|
| 933 | |
---|
| 934 | G4double x, y, z; |
---|
| 935 | |
---|
| 936 | // corner of Axis0min and Axis1min |
---|
| 937 | // |
---|
| 938 | x = -fdeltaX/2. + (fDx1 - fDy1*fTAlph)*std::cos(fPhiTwist/2.) |
---|
| 939 | - fDy1*std::sin(fPhiTwist/2.); |
---|
| 940 | y = -fdeltaY/2. - fDy1*std::cos(fPhiTwist/2.) |
---|
| 941 | + (-fDx1 + fDy1*fTAlph)*std::sin(fPhiTwist/2.); |
---|
| 942 | z = -fDz ; |
---|
| 943 | |
---|
| 944 | // G4cout << "SetCorners: " << x << ", " << y << ", " << z << G4endl ; |
---|
| 945 | |
---|
| 946 | SetCorner(sC0Min1Min, x, y, z); |
---|
| 947 | |
---|
| 948 | // corner of Axis0max and Axis1min |
---|
| 949 | // |
---|
| 950 | x = -fdeltaX/2. + (fDx2 + fDy1*fTAlph)*std::cos(fPhiTwist/2.) |
---|
| 951 | + fDy1*std::sin(fPhiTwist/2.); |
---|
| 952 | y = -fdeltaY/2. + fDy1*std::cos(fPhiTwist/2.) |
---|
| 953 | - (fDx2 + fDy1*fTAlph)*std::sin(fPhiTwist/2.); |
---|
| 954 | z = -fDz ; |
---|
| 955 | |
---|
| 956 | // G4cout << "SetCorners: " << x << ", " << y << ", " << z << G4endl ; |
---|
| 957 | |
---|
| 958 | SetCorner(sC0Max1Min, x, y, z); |
---|
| 959 | |
---|
| 960 | // corner of Axis0max and Axis1max |
---|
| 961 | // |
---|
| 962 | x = fdeltaX/2. + (fDx4 + fDy2*fTAlph)*std::cos(fPhiTwist/2.) |
---|
| 963 | - fDy2*std::sin(fPhiTwist/2.); |
---|
| 964 | y = fdeltaY/2. + fDy2*std::cos(fPhiTwist/2.) |
---|
| 965 | + (fDx4 + fDy2*fTAlph)*std::sin(fPhiTwist/2.); |
---|
| 966 | z = fDz ; |
---|
| 967 | |
---|
| 968 | // G4cout << "SetCorners: " << x << ", " << y << ", " << z << G4endl ; |
---|
| 969 | |
---|
| 970 | SetCorner(sC0Max1Max, x, y, z); |
---|
| 971 | |
---|
| 972 | // corner of Axis0min and Axis1max |
---|
| 973 | x = fdeltaX/2. + (fDx3 - fDy2*fTAlph)*std::cos(fPhiTwist/2.) |
---|
| 974 | + fDy2*std::sin(fPhiTwist/2.) ; |
---|
| 975 | y = fdeltaY/2. - fDy2*std::cos(fPhiTwist/2.) |
---|
| 976 | + (fDx3 - fDy2*fTAlph)*std::sin(fPhiTwist/2.) ; |
---|
| 977 | z = fDz ; |
---|
| 978 | |
---|
| 979 | // G4cout << "SetCorners: " << x << ", " << y << ", " << z << G4endl ; |
---|
| 980 | |
---|
| 981 | SetCorner(sC0Min1Max, x, y, z); |
---|
| 982 | |
---|
| 983 | } |
---|
| 984 | else |
---|
| 985 | { |
---|
| 986 | G4Exception("G4TwistTrapAlphaSide::SetCorners()", |
---|
| 987 | "NotImplemented", FatalException, |
---|
| 988 | "Method NOT implemented !"); |
---|
| 989 | } |
---|
| 990 | } |
---|
| 991 | |
---|
| 992 | //===================================================================== |
---|
| 993 | //* SetBoundaries() --------------------------------------------------- |
---|
| 994 | |
---|
| 995 | void G4TwistTrapAlphaSide::SetBoundaries() |
---|
| 996 | { |
---|
| 997 | // Set direction-unit vector of boundary-lines in local coodinate. |
---|
| 998 | // |
---|
| 999 | |
---|
| 1000 | G4ThreeVector direction; |
---|
| 1001 | |
---|
| 1002 | if (fAxis[0] == kYAxis && fAxis[1] == kZAxis) |
---|
| 1003 | { |
---|
| 1004 | // sAxis0 & sAxisMin |
---|
| 1005 | direction = GetCorner(sC0Min1Max) - GetCorner(sC0Min1Min); |
---|
| 1006 | direction = direction.unit(); |
---|
| 1007 | SetBoundary(sAxis0 & (sAxisY | sAxisMin), direction, |
---|
| 1008 | GetCorner(sC0Min1Min), sAxisZ) ; |
---|
| 1009 | |
---|
| 1010 | // sAxis0 & sAxisMax |
---|
| 1011 | direction = GetCorner(sC0Max1Max) - GetCorner(sC0Max1Min); |
---|
| 1012 | direction = direction.unit(); |
---|
| 1013 | SetBoundary(sAxis0 & (sAxisY | sAxisMax), direction, |
---|
| 1014 | GetCorner(sC0Max1Min), sAxisZ); |
---|
| 1015 | |
---|
| 1016 | // sAxis1 & sAxisMin |
---|
| 1017 | direction = GetCorner(sC0Max1Min) - GetCorner(sC0Min1Min); |
---|
| 1018 | direction = direction.unit(); |
---|
| 1019 | SetBoundary(sAxis1 & (sAxisZ | sAxisMin), direction, |
---|
| 1020 | GetCorner(sC0Min1Min), sAxisY); |
---|
| 1021 | |
---|
| 1022 | // sAxis1 & sAxisMax |
---|
| 1023 | direction = GetCorner(sC0Max1Max) - GetCorner(sC0Min1Max); |
---|
| 1024 | direction = direction.unit(); |
---|
| 1025 | SetBoundary(sAxis1 & (sAxisZ | sAxisMax), direction, |
---|
| 1026 | GetCorner(sC0Min1Max), sAxisY); |
---|
| 1027 | |
---|
| 1028 | } |
---|
| 1029 | else |
---|
| 1030 | { |
---|
| 1031 | G4Exception("G4TwistTrapAlphaSide::SetCorners()", |
---|
| 1032 | "NotImplemented", FatalException, |
---|
| 1033 | "Feature NOT implemented !"); |
---|
| 1034 | } |
---|
| 1035 | } |
---|
| 1036 | |
---|
| 1037 | //===================================================================== |
---|
| 1038 | //* GetPhiUAtX -------------------------------------------------------- |
---|
| 1039 | |
---|
| 1040 | void |
---|
| 1041 | G4TwistTrapAlphaSide::GetPhiUAtX( G4ThreeVector p, G4double &phi, G4double &u ) |
---|
| 1042 | { |
---|
| 1043 | // find closest point XX on surface for a given point p |
---|
| 1044 | // X0 is a point on the surface, d is the direction |
---|
| 1045 | // ( both for a fixed z = pz) |
---|
| 1046 | |
---|
| 1047 | // phi is given by the z coordinate of p |
---|
| 1048 | |
---|
| 1049 | phi = p.z()/(2*fDz)*fPhiTwist ; |
---|
| 1050 | u = (fPhiTwist*(2*fDx1*fDx1 - 2*fDx2*fDx2 - fa1md1*(fDx3 + fDx4) |
---|
| 1051 | - 4*(fDx3plus1 + fDx4plus2)*fDy1*fTAlph) |
---|
| 1052 | - 2*(2*fDx1*fDx1 - 2*fDx2*fDx2 + fa1md1*(fDx3 + fDx4) |
---|
| 1053 | + 4*(fDx3minus1 + fDx4minus2)*fDy1*fTAlph)*phi |
---|
| 1054 | - 4*(fa1md1*(fdeltaX*phi - fPhiTwist*p.x()) |
---|
| 1055 | + 4*fDy1*(fdeltaY*phi + fdeltaX*fTAlph*phi |
---|
| 1056 | - fPhiTwist*(fTAlph*p.x() + p.y())))*std::cos(phi) |
---|
| 1057 | - 4*(fa1md1*fdeltaY*phi - 4*fdeltaX*fDy1*phi |
---|
| 1058 | + 4*fdeltaY*fDy1*fTAlph*phi + 4*fDy1*fPhiTwist*p.x() |
---|
| 1059 | - fPhiTwist*(fa1md1 + 4*fDy1*fTAlph)*p.y())*std::sin(phi)) |
---|
| 1060 | /(fDy1* fPhiTwist*((std::fabs(((fa1md1 + 4*fDy1*fTAlph)*std::cos(phi)) |
---|
| 1061 | /fDy1 - 4*std::sin(phi))) |
---|
| 1062 | *(std::fabs(((fa1md1 + 4*fDy1*fTAlph)*std::cos(phi)) |
---|
| 1063 | /fDy1 - 4*std::sin(phi))) |
---|
| 1064 | + (std::fabs(4*std::cos(phi) |
---|
| 1065 | + ((fa1md1 + 4*fDy1*fTAlph)*std::sin(phi))/fDy1)) |
---|
| 1066 | * (std::fabs(4*std::cos(phi) |
---|
| 1067 | + ((fa1md1 + 4*fDy1*fTAlph)*std::sin(phi))/fDy1)))) ; |
---|
| 1068 | } |
---|
| 1069 | |
---|
| 1070 | //===================================================================== |
---|
| 1071 | //* ProjectPoint ------------------------------------------------------ |
---|
| 1072 | |
---|
| 1073 | G4ThreeVector |
---|
| 1074 | G4TwistTrapAlphaSide::ProjectPoint(const G4ThreeVector &p, G4bool isglobal) |
---|
| 1075 | { |
---|
| 1076 | // Get Rho at p.z() on Hyperbolic Surface. |
---|
| 1077 | |
---|
| 1078 | G4ThreeVector tmpp; |
---|
| 1079 | if (isglobal) |
---|
| 1080 | { |
---|
| 1081 | tmpp = fRot.inverse()*p - fTrans; |
---|
| 1082 | } |
---|
| 1083 | else |
---|
| 1084 | { |
---|
| 1085 | tmpp = p; |
---|
| 1086 | } |
---|
| 1087 | |
---|
| 1088 | G4double phi ; |
---|
| 1089 | G4double u ; |
---|
| 1090 | |
---|
| 1091 | GetPhiUAtX( tmpp, phi, u ) ; |
---|
| 1092 | // calculate (phi, u) for a point p close the surface |
---|
| 1093 | |
---|
| 1094 | G4ThreeVector xx = SurfacePoint(phi,u) ; |
---|
| 1095 | // transform back to cartesian coordinates |
---|
| 1096 | |
---|
| 1097 | if (isglobal) |
---|
| 1098 | { |
---|
| 1099 | return (fRot * xx + fTrans); |
---|
| 1100 | } |
---|
| 1101 | else |
---|
| 1102 | { |
---|
| 1103 | return xx; |
---|
| 1104 | } |
---|
| 1105 | } |
---|
| 1106 | |
---|
| 1107 | //===================================================================== |
---|
| 1108 | //* GetFacets --------------------------------------------------------- |
---|
| 1109 | |
---|
| 1110 | void |
---|
| 1111 | G4TwistTrapAlphaSide::GetFacets( G4int m, G4int n, G4double xyz[][3], |
---|
| 1112 | G4int faces[][4], G4int iside ) |
---|
| 1113 | { |
---|
| 1114 | |
---|
| 1115 | G4double phi ; |
---|
| 1116 | G4double b ; |
---|
| 1117 | |
---|
| 1118 | G4double z, u ; // the two parameters for the surface equation |
---|
| 1119 | G4ThreeVector p ; // a point on the surface, given by (z,u) |
---|
| 1120 | |
---|
| 1121 | G4int nnode ; |
---|
| 1122 | G4int nface ; |
---|
| 1123 | |
---|
| 1124 | // calculate the (n-1)*(m-1) vertices |
---|
| 1125 | |
---|
| 1126 | for ( register int i = 0 ; i<n ; i++ ) |
---|
| 1127 | { |
---|
| 1128 | z = -fDz+i*(2.*fDz)/(n-1) ; |
---|
| 1129 | phi = z*fPhiTwist/(2*fDz) ; |
---|
| 1130 | b = GetValueB(phi) ; |
---|
| 1131 | |
---|
| 1132 | for ( register int j = 0 ; j<m ; j++ ) |
---|
| 1133 | { |
---|
| 1134 | nnode = GetNode(i,j,m,n,iside) ; |
---|
| 1135 | u = -b/2 +j*b/(m-1) ; |
---|
| 1136 | p = SurfacePoint(phi,u,true) ; // surface point in global coordinates |
---|
| 1137 | |
---|
| 1138 | xyz[nnode][0] = p.x() ; |
---|
| 1139 | xyz[nnode][1] = p.y() ; |
---|
| 1140 | xyz[nnode][2] = p.z() ; |
---|
| 1141 | |
---|
| 1142 | if ( i<n-1 && j<m-1 ) // conterclock wise filling |
---|
| 1143 | { |
---|
| 1144 | nface = GetFace(i,j,m,n,iside) ; |
---|
| 1145 | faces[nface][0] = GetEdgeVisibility(i,j,m,n,0,-1) |
---|
| 1146 | * (GetNode(i ,j ,m,n,iside)+1) ; // f77 numbering |
---|
| 1147 | faces[nface][1] = GetEdgeVisibility(i,j,m,n,1,-1) |
---|
| 1148 | * (GetNode(i ,j+1,m,n,iside)+1) ; |
---|
| 1149 | faces[nface][2] = GetEdgeVisibility(i,j,m,n,2,-1) |
---|
| 1150 | * (GetNode(i+1,j+1,m,n,iside)+1) ; |
---|
| 1151 | faces[nface][3] = GetEdgeVisibility(i,j,m,n,3,-1) |
---|
| 1152 | * (GetNode(i+1,j ,m,n,iside)+1) ; |
---|
| 1153 | } |
---|
| 1154 | } |
---|
| 1155 | } |
---|
| 1156 | } |
---|