| 1 | /* ======================================================================== *\ | 
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| 2 | ! | 
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| 3 | ! * | 
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| 4 | ! * This file is part of CheObs, the Modular Analysis and Reconstruction | 
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| 5 | ! * Software. It is distributed to you in the hope that it can be a useful | 
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| 6 | ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes. | 
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| 7 | ! * It is distributed WITHOUT ANY WARRANTY. | 
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| 8 | ! * | 
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| 9 | ! * Permission to use, copy, modify and distribute this software and its | 
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| 10 | ! * documentation for any purpose is hereby granted without fee, | 
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| 11 | ! * provided that the above copyright notice appears in all copies and | 
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| 12 | ! * that both that copyright notice and this permission notice appear | 
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| 13 | ! * in supporting documentation. It is provided "as is" without express | 
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| 14 | ! * or implied warranty. | 
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| 15 | ! * | 
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| 16 | ! | 
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| 17 | ! | 
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| 18 | !   Author(s): Thomas Bretz, 12/2000 <mailto:tbretz@astro.uni-wuerzburg.de> | 
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| 19 | ! | 
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| 20 | !   Copyright: MAGIC Software Development, 2000-2009 | 
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| 21 | ! | 
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| 22 | ! | 
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| 23 | \* ======================================================================== */ | 
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| 24 |  | 
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| 25 | ////////////////////////////////////////////////////////////////////////////// | 
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| 26 | // | 
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| 27 | // MGeomPix | 
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| 28 | // | 
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| 29 | // This container stores the geometry (position) information of | 
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| 30 | // a single pixel together with the information about next neighbors. | 
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| 31 | // | 
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| 32 | // | 
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| 33 | // Version 1: | 
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| 34 | // ---------- | 
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| 35 | //  - first implementation | 
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| 36 | // | 
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| 37 | // Version 2: | 
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| 38 | // ---------- | 
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| 39 | //  - added fA | 
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| 40 | // | 
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| 41 | // Version 3: | 
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| 42 | // ---------- | 
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| 43 | //  - added fAidx | 
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| 44 | // | 
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| 45 | // Version 4: | 
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| 46 | // ---------- | 
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| 47 | //  - added fUserBits | 
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| 48 | // | 
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| 49 | // Version 5: | 
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| 50 | // ---------- | 
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| 51 | //  - now derives from MGeom to which some data members have been moved | 
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| 52 | // | 
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| 53 | //////////////////////////////////////////////////////////////////////////// | 
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| 54 | #include "MGeomPix.h" | 
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| 55 |  | 
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| 56 | #include <TMath.h> | 
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| 57 | #include <TVector2.h> | 
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| 58 | #include <TVirtualPad.h> | 
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| 59 |  | 
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| 60 | #include "MLog.h" | 
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| 61 | #include "MLogManip.h" | 
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| 62 |  | 
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| 63 | #include "MGeomCam.h" | 
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| 64 | #include "MHexagon.h" | 
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| 65 |  | 
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| 66 | ClassImp(MGeomPix); | 
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| 67 |  | 
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| 68 | using namespace std; | 
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| 69 |  | 
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| 70 | const Float_t MGeomPix::gsTan30 = TMath::Sqrt(3)/3;  //TMath::Tan(TMath::DegToRad()*30); | 
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| 71 | const Float_t MGeomPix::gsTan60 = TMath::Sqrt(3);    //TMath::Tan(TMath::DegToRad()*60); | 
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| 72 |  | 
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| 73 | const Float_t MGeomPix::gsCos60 = 0.5;               //TMath::Cos(TMath::DegToRad()*60); | 
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| 74 | const Float_t MGeomPix::gsSin60 = TMath::Sqrt(3)/2;  //TMath::Sin(TMath::DegToRad()*60); | 
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| 75 |  | 
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| 76 | // -------------------------------------------------------------------------- | 
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| 77 | // | 
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| 78 | // Initializes one pixel | 
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| 79 | // | 
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| 80 | MGeomPix::MGeomPix(Float_t x, Float_t y, Float_t r, UInt_t s, UInt_t a) | 
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| 81 | : MGeom(x, y, s, a), fCosPhi(1), fSinPhi(0) | 
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| 82 | { | 
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| 83 | SetD(r); | 
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| 84 | SetNeighbors(); | 
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| 85 | } | 
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| 86 |  | 
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| 87 | void MGeomPix::SetPhi(Double_t phi) | 
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| 88 | { | 
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| 89 | fCosPhi = TMath::Cos(phi); | 
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| 90 | fSinPhi = TMath::Sin(phi); | 
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| 91 | } | 
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| 92 |  | 
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| 93 | // -------------------------------------------------------------------------- | 
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| 94 | // | 
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| 95 | // Print the geometry information of one pixel. | 
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| 96 | // | 
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| 97 | void MGeomPix::Print(Option_t *opt) const | 
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| 98 | { | 
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| 99 | MGeom::Print(opt); | 
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| 100 | gLog << " d=" << fD << "mm" << endl; | 
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| 101 | } | 
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| 102 |  | 
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| 103 | // ------------------------------------------------------------------------ | 
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| 104 | // | 
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| 105 | // Implementation of PaintPrimitive drwaing a hexagonal pixel | 
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| 106 | // | 
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| 107 | void MGeomPix::PaintPrimitive(const TAttLine &line, const TAttFill &fill, Double_t scalexy, Double_t scaled) const | 
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| 108 | { | 
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| 109 | const_cast<TAttLine&>(line).Modify();  //Change line attributes only if necessary | 
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| 110 | const_cast<TAttFill&>(fill).Modify();  //Change fill area attributes only if necessary | 
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| 111 |  | 
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| 112 | const Double_t fx       = fX*scalexy; | 
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| 113 | const Double_t fy       = fY*scalexy; | 
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| 114 | const Double_t fd       = fD*scaled; | 
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| 115 |  | 
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| 116 | const Double_t c        = fd*fCosPhi; | 
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| 117 | const Double_t s        = fd*fSinPhi; | 
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| 118 |  | 
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| 119 | const Double_t gsCos60c = gsCos60*c; | 
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| 120 | const Double_t gsCos60s = gsCos60*s; | 
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| 121 |  | 
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| 122 | const Double_t gsSin60c = gsSin60*c/3; | 
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| 123 | const Double_t gsSin60s = gsSin60*s/3; | 
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| 124 |  | 
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| 125 | const Double_t gsTan30c = gsTan30*c; | 
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| 126 | const Double_t gsTan30s = gsTan30*s; | 
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| 127 |  | 
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| 128 |  | 
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| 129 | Double_t x[7] = { | 
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| 130 | gsCos60c-gsSin60s,  -gsTan30s,  -gsCos60c-gsSin60s, | 
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| 131 | -gsCos60c+gsSin60s,   gsTan30s,   gsCos60c+gsSin60s | 
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| 132 | }; | 
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| 133 |  | 
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| 134 | Double_t y[7] = { | 
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| 135 | gsCos60s+gsSin60c,   gsTan30c,  -gsCos60s+gsSin60c, | 
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| 136 | -gsCos60s-gsSin60c,  -gsTan30c,   gsCos60s-gsSin60c, | 
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| 137 | }; | 
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| 138 |  | 
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| 139 | for (Int_t i=0; i<6; i++) | 
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| 140 | { | 
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| 141 | // FIXME: Do not rotate fX/fY. | 
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| 142 | //        Instead implement MGeomCam::Rotate or similar. | 
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| 143 | x[i] += fx; | 
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| 144 | y[i] += fy; | 
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| 145 | } | 
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| 146 |  | 
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| 147 | x[6] = x[0]; | 
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| 148 | y[6] = y[0]; | 
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| 149 |  | 
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| 150 | // | 
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| 151 | //   paint the pixel | 
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| 152 | // | 
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| 153 | if (fill.GetFillColor()) | 
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| 154 | gPad->PaintFillArea(6, x, y); | 
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| 155 |  | 
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| 156 | if (line.GetLineStyle()) | 
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| 157 | gPad->PaintPolyLine(7, x, y); | 
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| 158 | } | 
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| 159 |  | 
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| 160 | // ------------------------------------------------------------------------ | 
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| 161 | // | 
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| 162 | // compute the distance of a point (px,py) to the Hexagon center in | 
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| 163 | // MGeomPix coordinates. Return kTRUE if inside. | 
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| 164 | // | 
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| 165 | Bool_t MGeomPix::IsInside(Float_t px, Float_t py) const | 
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| 166 | { | 
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| 167 |  | 
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| 168 | //const Double_t disthex = 999999;//TMath::Sqrt(dx*dx + dy*dy); | 
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| 169 |  | 
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| 170 | const Double_t dh = fD/2; | 
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| 171 |  | 
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| 172 | // | 
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| 173 | //  compute the distance of the Point to the center of the Hexagon | 
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| 174 | // | 
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| 175 | const Double_t dx = px-fX; | 
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| 176 | const Double_t dy = py-fY; | 
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| 177 |  | 
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| 178 | // FIXME: Derotate | 
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| 179 |  | 
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| 180 | // DX = dx*cos(-phi) - dy*sin(-phi) | 
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| 181 | // DY = dx*sin(-phi) + dy*cos(-phi) | 
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| 182 |  | 
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| 183 | const Double_t x =  dx*fCosPhi + dy*fSinPhi; | 
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| 184 |  | 
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| 185 | if (TMath::Abs(x) > dh) | 
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| 186 | return kFALSE; // return disthex | 
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| 187 |  | 
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| 188 | const Double_t y = -dx*fSinPhi + dy*fCosPhi; | 
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| 189 |  | 
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| 190 | const Double_t xc = x*gsCos60;  // 1/2 | 
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| 191 | const Double_t ys = y*gsSin60;  // sqrt(3)/2 | 
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| 192 |  | 
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| 193 | // | 
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| 194 | // Now check if point is outside of hexagon; just check x coordinate | 
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| 195 | // in three coordinate systems: the default one, in which two sides of | 
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| 196 | // the hexagon are paralel to the y axis (see camera displays) and two | 
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| 197 | // more, rotated with respect to that one by +- 60 degrees. | 
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| 198 | // | 
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| 199 |  | 
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| 200 | if  (TMath::Abs(xc + ys) > dh) | 
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| 201 | return kFALSE; // return disthex | 
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| 202 |  | 
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| 203 | if  (TMath::Abs(xc - ys) > dh) | 
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| 204 | return kFALSE; // return disthex | 
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| 205 |  | 
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| 206 | return kTRUE; // return -1 | 
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| 207 |  | 
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| 208 |  | 
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| 209 | } | 
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| 210 |  | 
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| 211 | // -------------------------------------------------------------------------- | 
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| 212 | // | 
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| 213 | // Calculate in the direction 0-5 (kind of sector) in the ring-th ring | 
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| 214 | // the x and y coordinate of the i-th pixel. The unitx are unity, | 
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| 215 | // distance to (0,0) is retruned. | 
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| 216 | // | 
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| 217 | Double_t MGeomPix::CalcXY(Int_t dir, Int_t ring, Int_t i, Double_t &x, Double_t &y) | 
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| 218 | { | 
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| 219 | switch (dir) | 
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| 220 | { | 
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| 221 | case kDirCenter: // Center | 
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| 222 | x = 0; | 
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| 223 | y = 0; | 
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| 224 | break; | 
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| 225 |  | 
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| 226 | case kDirNE: // Direction North East | 
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| 227 | x = ring-i*0.5; | 
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| 228 | y = i*gsSin60; | 
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| 229 | break; | 
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| 230 |  | 
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| 231 | case kDirN: // Direction North | 
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| 232 | x = ring*0.5-i; | 
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| 233 | y = ring*gsSin60; | 
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| 234 | break; | 
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| 235 |  | 
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| 236 | case kDirNW: // Direction North West | 
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| 237 | x = -(ring+i)*0.5; | 
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| 238 | y = (ring-i)*gsSin60; | 
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| 239 | break; | 
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| 240 |  | 
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| 241 | case kDirSW: // Direction South West | 
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| 242 | x = 0.5*i-ring; | 
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| 243 | y = -i*gsSin60; | 
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| 244 | break; | 
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| 245 |  | 
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| 246 | case kDirS: // Direction South | 
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| 247 | x = i-ring*0.5; | 
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| 248 | y = -ring*gsSin60; | 
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| 249 | break; | 
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| 250 |  | 
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| 251 | case kDirSE: // Direction South East | 
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| 252 | x = (ring+i)*0.5; | 
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| 253 | y = (-ring+i)*gsSin60; | 
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| 254 | break; | 
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| 255 | } | 
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| 256 | return x*x + y*y; | 
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| 257 | } | 
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| 258 |  | 
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| 259 | // ============================================================================== | 
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| 260 | /* | 
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| 261 | #include <TOrdCollection.h> | 
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| 262 | #include "MMath.h" | 
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| 263 | #include "../mgui/MHexagon.h" // MHexagon::fgDx | 
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| 264 |  | 
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| 265 | // ------------------------------------------------------------------------ | 
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| 266 | // | 
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| 267 | // Small helper class to allow fast sorting of TVector2 by angle | 
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| 268 | // | 
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| 269 | class HVector2 : public TVector2 | 
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| 270 | { | 
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| 271 | Double_t fAngle; | 
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| 272 | public: | 
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| 273 | HVector2() : TVector2()  { } | 
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| 274 | HVector2(const TVector2 &v) : TVector2(v)  { } | 
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| 275 | HVector2(Double_t x, Double_t y) : TVector2 (x, y) { } | 
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| 276 | void CalcAngle() { fAngle = Phi(); } | 
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| 277 | Bool_t IsSortable() const { return kTRUE; } | 
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| 278 | Int_t Compare(const TObject *obj) const { return ((HVector2*)obj)->fAngle>fAngle ? 1 : -1; } | 
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| 279 | Double_t GetAngle() const { return fAngle; } | 
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| 280 | }; | 
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| 281 |  | 
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| 282 | // ------------------------------------------------------------------------ | 
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| 283 | // | 
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| 284 | // Calculate the edge points of the intersection area of two hexagons. | 
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| 285 | // The points are added as TVector2 to the TOrdCollection. | 
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| 286 | // The user is responsible of delete the objects. | 
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| 287 | // | 
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| 288 | void MGeomPix::GetIntersectionBorder(TOrdCollection &col, const MGeomPix &hex) const | 
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| 289 | { | 
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| 290 | //    if (fPhi!=0) | 
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| 291 | //    { | 
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| 292 | //        gLog << warn << "MGeomPix::GetIntersectionBorder: Only phi=0 supported yet." << endl; | 
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| 293 | //        return; | 
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| 294 | //    } | 
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| 295 |  | 
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| 296 | Bool_t inside0[6], inside1[6]; | 
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| 297 |  | 
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| 298 | HVector2 v0[6]; | 
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| 299 | HVector2 v1[6]; | 
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| 300 |  | 
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| 301 | Int_t cnt0=0; | 
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| 302 | Int_t cnt1=0; | 
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| 303 |  | 
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| 304 | // Calculate teh edges of each hexagon and whether this edge | 
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| 305 | // is inside the other hexgon or not | 
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| 306 | for (int i=0; i<6; i++) | 
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| 307 | { | 
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| 308 | const Double_t x0 = fX+MHexagon::fgDx[i]*fD; | 
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| 309 | const Double_t y0 = fY+MHexagon::fgDy[i]*fD; | 
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| 310 |  | 
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| 311 | const Double_t x1 = hex.fX+MHexagon::fgDx[i]*hex.fD; | 
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| 312 | const Double_t y1 = hex.fY+MHexagon::fgDy[i]*hex.fD; | 
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| 313 |  | 
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| 314 | v0[i].Set(x0, y0); | 
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| 315 | v1[i].Set(x1, y1); | 
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| 316 |  | 
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| 317 | inside0[i] = hex.DistanceToPrimitive(x0, y0) < 0; | 
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| 318 | inside1[i] = DistanceToPrimitive(x1, y1)     < 0; | 
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| 319 |  | 
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| 320 | if (inside0[i]) | 
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| 321 | { | 
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| 322 | col.Add(new HVector2(v0[i])); | 
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| 323 | cnt0++; | 
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| 324 | } | 
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| 325 | if (inside1[i]) | 
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| 326 | { | 
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| 327 | col.Add(new HVector2(v1[i])); | 
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| 328 | cnt1++; | 
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| 329 | } | 
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| 330 | } | 
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| 331 |  | 
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| 332 | if (cnt0==0 || cnt1==0) | 
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| 333 | return; | 
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| 334 |  | 
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| 335 | // No calculate which vorder lines intersect | 
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| 336 | Bool_t iscross0[6], iscross1[6]; | 
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| 337 | for (int i=0; i<6; i++) | 
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| 338 | { | 
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| 339 | iscross0[i] = (inside0[i] && !inside0[(i+1)%6]) || (!inside0[i] && inside0[(i+1)%6]); | 
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| 340 | iscross1[i] = (inside1[i] && !inside1[(i+1)%6]) || (!inside1[i] && inside1[(i+1)%6]); | 
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| 341 | } | 
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| 342 |  | 
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| 343 | // Calculate the border points of our intersection area | 
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| 344 | for (int i=0; i<6; i++) | 
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| 345 | { | 
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| 346 | // Skip non intersecting lines | 
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| 347 | if (!iscross0[i]) | 
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| 348 | continue; | 
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| 349 |  | 
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| 350 | for (int j=0; j<6; j++) | 
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| 351 | { | 
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| 352 | // Skip non intersecting lines | 
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| 353 | if (!iscross1[j]) | 
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| 354 | continue; | 
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| 355 |  | 
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| 356 | const TVector2 p = MMath::GetIntersectionPoint(v0[i], v0[(i+1)%6], v1[j], v1[(j+1)%6]); | 
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| 357 | if (hex.DistanceToPrimitive(p.X(), p.Y())<1e-9) | 
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| 358 | col.Add(new HVector2(p)); | 
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| 359 | } | 
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| 360 | } | 
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| 361 | } | 
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| 362 |  | 
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| 363 | // ------------------------------------------------------------------------ | 
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| 364 | // | 
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| 365 | // Calculate the overlapping area of the two hexagons. | 
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| 366 | // | 
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| 367 | Double_t MGeomPix::CalcOverlapArea(const MGeomPix &cam) const | 
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| 368 | { | 
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| 369 | //    if (fPhi!=0) | 
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| 370 | //    { | 
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| 371 | //        gLog << warn << "MGeomPix::CalcOverlapArea: Only phi=0 supported yet." << endl; | 
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| 372 | //        return -1; | 
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| 373 | //    } | 
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| 374 |  | 
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| 375 | TOrdCollection col; | 
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| 376 | col.SetOwner(); | 
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| 377 |  | 
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| 378 | GetIntersectionBorder(col, cam); | 
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| 379 |  | 
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| 380 | // Check if there is an intersection to proceed with | 
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| 381 | const Int_t n = col.GetEntries(); | 
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| 382 | if (n==0) | 
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| 383 | return 0; | 
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| 384 |  | 
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| 385 | // Calculate the center of gravity | 
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| 386 | TVector2 cog; | 
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| 387 |  | 
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| 388 | TIter Next(&col); | 
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| 389 | HVector2 *v=0; | 
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| 390 | while ((v=(HVector2*)Next())) | 
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| 391 | cog += *v; | 
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| 392 | cog /= n; | 
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| 393 |  | 
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| 394 | // Shift the figure to its center-og-gravity and | 
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| 395 | // calculate the angle of the connection line between the | 
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| 396 | // border points of our intersesction area and its cog | 
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| 397 | Next.Reset(); | 
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| 398 | while ((v=(HVector2*)Next())) | 
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| 399 | { | 
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| 400 | *v -= cog; | 
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| 401 | v->CalcAngle(); | 
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| 402 | } | 
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| 403 |  | 
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| 404 | // Sort these points by this angle | 
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| 405 | col.Sort(); | 
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| 406 |  | 
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| 407 | // Now sum up the area of all the triangles between two | 
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| 408 | // following points and the cog. | 
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| 409 | Double_t A = 0; | 
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| 410 | for (int i=0; i<n; i++) | 
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| 411 | { | 
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| 412 | // Vectors from cog to two nearby border points | 
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| 413 | const HVector2 *v1 = (HVector2*)col.At(i); | 
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| 414 | const HVector2 *v2 = (HVector2*)col.At((i+1)%n); | 
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| 415 |  | 
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| 416 | // Angle between both vectors | 
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| 417 | const Double_t a = fmod(v1->GetAngle()-v2->GetAngle()+TMath::TwoPi(), TMath::TwoPi()); | 
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| 418 |  | 
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| 419 | // Length of both vectors | 
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| 420 | const Double_t d1 = v1->Mod(); | 
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| 421 | const Double_t d2 = v2->Mod(); | 
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| 422 |  | 
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| 423 | A += d1*d2/2*sin(a); | 
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| 424 | } | 
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| 425 | return A; | 
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| 426 | } | 
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| 427 | */ | 
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