| 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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