1 | /* ======================================================================== *\
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2 | !
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3 | ! *
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4 | ! * This file is part of MARS, the MAGIC 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 appear 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 | ! Author(s): Harald Kornmayer 1/2001
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20 | !
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21 | ! Copyright: MAGIC Software Development, 2000-2008
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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 | //
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28 | // MGeomPix
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29 | //
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30 | // This container stores the geometry (position) information of
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31 | // a single pixel together with the information about next neighbors.
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32 | //
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33 | //
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34 | // Version 1:
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35 | // ----------
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36 | // - first implementation
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37 | //
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38 | // Version 2:
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39 | // ----------
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40 | // - added fA
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41 | //
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42 | // Version 3:
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43 | // ----------
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44 | // - added fAidx
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45 | //
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46 | // Version 4:
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47 | // ----------
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48 | // - added fUserBits
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49 | //
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50 | //
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51 | // FIXME: According to an agreement we have to change the name 'Id' to 'idx'
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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 |
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59 | #include "MLog.h"
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60 | #include "MLogManip.h"
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61 |
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62 | #include "MGeomCam.h"
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63 |
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64 | ClassImp(MGeomPix);
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65 |
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66 | using namespace std;
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67 |
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68 | const Float_t MGeomPix::gsTan30 = TMath::Tan(30/kRad2Deg); // sqrt(3)/3
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69 | const Float_t MGeomPix::gsTan60 = TMath::Tan(60/kRad2Deg); // sqrt(3)
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70 |
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71 | // --------------------------------------------------------------------------
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72 | //
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73 | // Initializes one pixel
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74 | //
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75 | MGeomPix::MGeomPix(Float_t x, Float_t y, Float_t r, UInt_t s, UInt_t a) : fUserBits(0)
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76 | {
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77 | // default constructor
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78 | Set(x, y, r, s, a);
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79 | SetNeighbors();
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80 | }
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81 |
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82 | // --------------------------------------------------------------------------
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83 | //
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84 | // Return position as TVector2(fX, fY)
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85 | //
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86 | TVector2 MGeomPix::GetP() const
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87 | {
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88 | return TVector2(fX, fY);
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89 | }
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90 |
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91 | // --------------------------------------------------------------------------
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92 | //
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93 | // Initializes Next Neighbors.
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94 | //
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95 | // WARNING: This function is public, but it is not meant for user access.
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96 | // It should only be used from geometry classes (like MGeomCam)
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97 | //
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98 | void MGeomPix::SetNeighbors(Short_t i0, Short_t i1, Short_t i2,
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99 | Short_t i3, Short_t i4, Short_t i5)
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100 | {
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101 | fNeighbors[0] = i0;
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102 | fNeighbors[1] = i1;
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103 | fNeighbors[2] = i2;
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104 | fNeighbors[3] = i3;
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105 | fNeighbors[4] = i4;
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106 | fNeighbors[5] = i5;
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107 |
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108 | int i;
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109 | for (i=0; i<6; i++)
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110 | if (fNeighbors[i]<0)
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111 | break;
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112 |
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113 | fNumNeighbors = i;
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114 |
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115 | fNumNeighbors<5 ? SETBIT(fUserBits, kIsInOutermostRing) : CLRBIT(fUserBits, kIsInOutermostRing);
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116 | }
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117 |
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118 | // --------------------------------------------------------------------------
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119 | //
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120 | // Set the kIsOuterRing flag if this pixel has a outermost pixel
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121 | // as Next Neighbor and don't have the kIsOutermostRing flag itself.
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122 | //
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123 | void MGeomPix::CheckOuterRing(const MGeomCam &cam)
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124 | {
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125 | if (IsInOutermostRing())
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126 | return;
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127 |
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128 | CLRBIT(fUserBits, kIsInOuterRing);
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129 |
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130 | for (int i=0; i<fNumNeighbors; i++)
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131 | if (cam[fNeighbors[i]].IsInOutermostRing())
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132 | {
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133 | SETBIT(fUserBits, kIsInOuterRing);
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134 | return;
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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 | //
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140 | // Print the geometry information of one pixel.
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141 | //
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142 | void MGeomPix::Print(Option_t *opt) const
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143 | {
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144 | // information about a pixel
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145 | *fLog << all << "MPixGeom: x/y=" << fX << "/" << fY << "mm ";
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146 | *fLog << "d= " << fD << "mm A= " << fA << "mm² (";
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147 | for (int i=0; i<fNumNeighbors; i++)
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148 | *fLog << fNeighbors[i] << (i<fNumNeighbors-1?",":"");
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149 | *fLog << ")" << endl;
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150 | }
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151 |
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152 | // ------------------------------------------------------------------------
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153 | //
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154 | // Return distance of center to coordinate origin: hypot(fX,fY)
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155 | //
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156 | Float_t MGeomPix::GetDist() const
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157 | {
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158 | return TMath::Hypot(fX, fY);
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159 | }
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160 |
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161 | // ------------------------------------------------------------------------
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162 | //
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163 | // Return distance of center to center of pix: hypot(fX-pix.fX,fY-pix.fY)
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164 | //
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165 | Float_t MGeomPix::GetDist(const MGeomPix &pix) const
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166 | {
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167 | return TMath::Hypot(fX-pix.fX, fY-pix.fY);
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168 | }
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169 |
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170 | // ------------------------------------------------------------------------
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171 | //
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172 | // Return angle defined by the center and the center of pix:
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173 | // atan2(fX-pix.fX,fY-pix.fY)
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174 | //
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175 | Float_t MGeomPix::GetAngle(const MGeomPix &pix) const
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176 | {
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177 | return TMath::ATan2(fX - pix.GetX(), fY - pix.GetY());
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178 | }
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179 |
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180 | // ------------------------------------------------------------------------
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181 | //
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182 | // compute the distance of a point (px,py) to the Hexagon center in
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183 | // MGeomPix coordinates. Return kTRUE if inside.
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184 | //
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185 | Bool_t MGeomPix::IsInside(Float_t px, Float_t py) const
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186 | {
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187 | //
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188 | // compute the distance of the Point to the center of the Hexagon
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189 | //
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190 | const Double_t dx = px-fX;
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191 |
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192 | //
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193 | // Now check if point is outside of hexagon; just check x coordinate
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194 | // in three coordinate systems: the default one, in which two sides of
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195 | // the hexagon are paralel to the y axis (see camera displays) and two
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196 | // more, rotated with respect to that one by +- 60 degrees.
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197 | //
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198 | if (TMath::Abs(dx)>fD/2)
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199 | return kFALSE;
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200 |
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201 | const Double_t dy = py-fY;
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202 |
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203 | const static Double_t cos60 = TMath::Cos(60/kRad2Deg);
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204 | const static Double_t sin60 = TMath::Sin(60/kRad2Deg);
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205 |
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206 | const Double_t dxc = dx*cos60;
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207 | const Double_t dys = dy*sin60;
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208 |
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209 | if (TMath::Abs(dxc + dys)>fD/2)
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210 | return kFALSE;
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211 |
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212 | if (TMath::Abs(dxc - dys)>fD/2)
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213 | return kFALSE;
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214 |
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215 | return kTRUE;
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216 | }
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217 |
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218 | // ------------------------------------------------------------------------
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219 | //
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220 | // Return the direction of the pixel pix w.r.t. this pixel.
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221 | // Remark: This function assumes a simple geometry.
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222 | //
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223 | Int_t MGeomPix::GetDirection(const MGeomPix &pix) const
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224 | {
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225 | const Double_t x1 = GetX();
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226 | const Double_t y1 = GetY();
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227 |
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228 | const Double_t x2 = pix.GetX();
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229 | const Double_t y2 = pix.GetY();
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230 |
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231 | if (x1<=x2 && y1<y2) return kRightTop;
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232 | if (x1<=x2 && y1>y2) return kRightBottom;
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233 | if (x1>=x2 && y1<y2) return kLeftTop;
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234 | if (x1>=x2 && y1>y2) return kLeftBottom;
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235 | if (x1<x2) return kRight;
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236 | if (x1>x2) return kLeft;
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237 |
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238 | cout << -1 << endl;
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239 |
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240 | return -1;
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241 | }
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242 |
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243 | // ------------------------------------------------------------------------
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244 | //
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245 | // compute the distance of a point (px,py) to the Hexagon center in world
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246 | // coordinates. Return -1 if inside.
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247 | //
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248 | Float_t MGeomPix::DistanceToPrimitive(Float_t px, Float_t py) const
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249 | {
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250 | //FIXME: Rotation phi missing!
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251 |
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252 | static Double_t fgCos60 = 0.5; //TMath::Cos(TMath::DegToRad()*60);
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253 | static Double_t fgSin60 = TMath::Sqrt(3.)/2; //TMath::Sin(TMath::DegToRad()*60);
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254 |
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255 | //
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256 | // compute the distance of the Point to the center of the Hexagon
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257 | //
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258 | //const Double_t dx = px-fX;
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259 | //const Double_t dy = py-fY;
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260 |
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261 | TVector2 v(px-fX, py-fY);
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262 | // FIXME: fPhi or -fPhi?
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263 | // v = v.Rotate(-fPhi); // FIXME: Replace with a precalculates sin/cos vector
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264 |
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265 | const Double_t dx = v.X();
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266 | const Double_t dy = v.Y();
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267 |
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268 | const Double_t disthex = TMath::Sqrt(dx*dx + dy*dy);
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269 |
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270 | //
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271 | // Now check if point is outside of hexagon; just check x coordinate
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272 | // in three coordinate systems: the default one, in which two sides of
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273 | // the hexagon are paralel to the y axis (see camera displays) and two
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274 | // more, rotated with respect to that one by +- 60 degrees.
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275 | //
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276 |
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277 | if (TMath::Abs(dx) > fD/2.)
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278 | return disthex;
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279 |
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280 | const Double_t dx2 = dx*fgCos60 + dy*fgSin60;
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281 |
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282 | if (TMath::Abs(dx2) > fD/2.)
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283 | return disthex;
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284 |
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285 | const Double_t dx3 = dx*fgCos60 - dy*fgSin60;
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286 |
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287 | if (TMath::Abs(dx3) > fD/2.)
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288 | return disthex;
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289 |
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290 | return -1;
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291 | }
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292 |
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293 | // ==============================================================================
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294 | /*
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295 | #include <TOrdCollection.h>
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296 | #include "MMath.h"
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297 | #include "../mgui/MHexagon.h" // MHexagon::fgDx
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298 |
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299 | // ------------------------------------------------------------------------
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300 | //
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301 | // Small helper class to allow fast sorting of TVector2 by angle
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302 | //
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303 | class HVector2 : public TVector2
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304 | {
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305 | Double_t fAngle;
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306 | public:
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307 | HVector2() : TVector2() { }
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308 | HVector2(const TVector2 &v) : TVector2(v) { }
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309 | HVector2(Double_t x, Double_t y) : TVector2 (x, y) { }
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310 | void CalcAngle() { fAngle = Phi(); }
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311 | Bool_t IsSortable() const { return kTRUE; }
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312 | Int_t Compare(const TObject *obj) const { return ((HVector2*)obj)->fAngle>fAngle ? 1 : -1; }
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313 | Double_t GetAngle() const { return fAngle; }
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314 | };
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315 |
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316 | // ------------------------------------------------------------------------
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317 | //
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318 | // Calculate the edge points of the intersection area of two hexagons.
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319 | // The points are added as TVector2 to the TOrdCollection.
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320 | // The user is responsible of delete the objects.
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321 | //
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322 | void MGeomPix::GetIntersectionBorder(TOrdCollection &col, const MGeomPix &hex) const
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323 | {
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324 | // if (fPhi!=0)
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325 | // {
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326 | // gLog << warn << "MGeomPix::GetIntersectionBorder: Only phi=0 supported yet." << endl;
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327 | // return;
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328 | // }
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329 |
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330 | Bool_t inside0[6], inside1[6];
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331 |
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332 | HVector2 v0[6];
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333 | HVector2 v1[6];
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334 |
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335 | Int_t cnt0=0;
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336 | Int_t cnt1=0;
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337 |
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338 | // Calculate teh edges of each hexagon and whether this edge
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339 | // is inside the other hexgon or not
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340 | for (int i=0; i<6; i++)
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341 | {
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342 | const Double_t x0 = fX+MHexagon::fgDx[i]*fD;
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343 | const Double_t y0 = fY+MHexagon::fgDy[i]*fD;
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344 |
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345 | const Double_t x1 = hex.fX+MHexagon::fgDx[i]*hex.fD;
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346 | const Double_t y1 = hex.fY+MHexagon::fgDy[i]*hex.fD;
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347 |
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348 | v0[i].Set(x0, y0);
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349 | v1[i].Set(x1, y1);
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350 |
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351 | inside0[i] = hex.DistanceToPrimitive(x0, y0) < 0;
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352 | inside1[i] = DistanceToPrimitive(x1, y1) < 0;
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353 |
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354 | if (inside0[i])
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355 | {
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356 | col.Add(new HVector2(v0[i]));
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357 | cnt0++;
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358 | }
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359 | if (inside1[i])
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360 | {
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361 | col.Add(new HVector2(v1[i]));
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362 | cnt1++;
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363 | }
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364 | }
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365 |
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366 | if (cnt0==0 || cnt1==0)
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367 | return;
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368 |
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369 | // No calculate which vorder lines intersect
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370 | Bool_t iscross0[6], iscross1[6];
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371 | for (int i=0; i<6; i++)
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372 | {
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373 | iscross0[i] = (inside0[i] && !inside0[(i+1)%6]) || (!inside0[i] && inside0[(i+1)%6]);
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374 | iscross1[i] = (inside1[i] && !inside1[(i+1)%6]) || (!inside1[i] && inside1[(i+1)%6]);
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375 | }
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376 |
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377 | // Calculate the border points of our intersection area
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378 | for (int i=0; i<6; i++)
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379 | {
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380 | // Skip non intersecting lines
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381 | if (!iscross0[i])
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382 | continue;
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383 |
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384 | for (int j=0; j<6; j++)
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385 | {
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386 | // Skip non intersecting lines
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387 | if (!iscross1[j])
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388 | continue;
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389 |
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390 | const TVector2 p = MMath::GetIntersectionPoint(v0[i], v0[(i+1)%6], v1[j], v1[(j+1)%6]);
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391 | if (hex.DistanceToPrimitive(p.X(), p.Y())<1e-9)
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392 | col.Add(new HVector2(p));
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393 | }
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394 | }
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395 | }
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396 |
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397 | // ------------------------------------------------------------------------
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398 | //
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399 | // Calculate the overlapping area of the two hexagons.
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400 | //
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401 | Double_t MGeomPix::CalcOverlapArea(const MGeomPix &cam) const
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402 | {
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403 | // if (fPhi!=0)
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404 | // {
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405 | // gLog << warn << "MGeomPix::CalcOverlapArea: Only phi=0 supported yet." << endl;
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406 | // return -1;
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407 | // }
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408 |
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409 | TOrdCollection col;
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410 | col.SetOwner();
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411 |
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412 | GetIntersectionBorder(col, cam);
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413 |
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414 | // Check if there is an intersection to proceed with
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415 | const Int_t n = col.GetEntries();
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416 | if (n==0)
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417 | return 0;
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418 |
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419 | // Calculate the center of gravity
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420 | TVector2 cog;
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421 |
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422 | TIter Next(&col);
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423 | HVector2 *v=0;
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424 | while ((v=(HVector2*)Next()))
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425 | cog += *v;
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426 | cog /= n;
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427 |
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428 | // Shift the figure to its center-og-gravity and
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429 | // calculate the angle of the connection line between the
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430 | // border points of our intersesction area and its cog
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431 | Next.Reset();
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432 | while ((v=(HVector2*)Next()))
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433 | {
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434 | *v -= cog;
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435 | v->CalcAngle();
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436 | }
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437 |
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438 | // Sort these points by this angle
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439 | col.Sort();
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440 |
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441 | // Now sum up the area of all the triangles between two
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442 | // following points and the cog.
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443 | Double_t A = 0;
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444 | for (int i=0; i<n; i++)
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445 | {
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446 | // Vectors from cog to two nearby border points
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447 | const HVector2 *v1 = (HVector2*)col.At(i);
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448 | const HVector2 *v2 = (HVector2*)col.At((i+1)%n);
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449 |
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450 | // Angle between both vectors
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451 | const Double_t a = fmod(v1->GetAngle()-v2->GetAngle()+TMath::TwoPi(), TMath::TwoPi());
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452 |
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453 | // Length of both vectors
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454 | const Double_t d1 = v1->Mod();
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455 | const Double_t d2 = v2->Mod();
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456 |
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457 | A += d1*d2/2*sin(a);
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458 | }
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459 | return A;
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460 | }
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461 | */
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462 |
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