1 | // ESAF : Euso Simulation and Analysis Framework |
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2 | // $Id: EsafSpectrum.cc 2927 2011-06-16 18:02:41Z mabl $ |
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3 | // R.Pesce created Oct, 31 2003 |
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4 | |
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5 | #include "EsafSpectrum.hh" |
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6 | #include "EsafRandom.hh" |
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7 | #include <stdexcept> |
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8 | #include <TMath.h> |
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9 | using namespace TMath; |
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10 | using namespace sou; |
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11 | |
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12 | |
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13 | ClassImp(EsafSpectrum) |
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14 | |
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15 | //______________________________________________________________________________ |
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16 | EsafSpectrum::EsafSpectrum() : fGraph(0), fName("Empty") { |
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17 | // |
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18 | // Empty spectrum constructor |
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19 | // |
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20 | SetArraysSize(0); |
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21 | } |
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22 | |
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23 | //______________________________________________________________________________ |
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24 | EsafSpectrum::EsafSpectrum(Float_t wl) : fGraph(0), fName("") { |
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25 | // |
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26 | // constructor |
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27 | // call with monochromatic wavelength |
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28 | // |
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29 | |
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30 | BuildMono(wl); |
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31 | } |
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32 | |
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33 | //______________________________________________________________________________ |
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34 | EsafSpectrum::EsafSpectrum(Float_t wlmin, Float_t wlmax) : fGraph(0), fName("") { |
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35 | // |
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36 | // constructor |
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37 | // call with monochromatic wavelength |
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38 | // |
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39 | |
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40 | BuildFlat(wlmin,wlmax); |
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41 | } |
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42 | |
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43 | //______________________________________________________________________________ |
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44 | EsafSpectrum::EsafSpectrum(const char* name) : fGraph(0), fName(""){ |
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45 | // call with string |
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46 | |
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47 | fName = ""; |
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48 | |
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49 | if (strncmp(name,"test",4)==0) BuildTest(); |
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50 | else if (strncmp(name,"nitro10km",9)==0) { |
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51 | TFormula nitro("nitrogen - 10km","gaus(0)+gaus(3)+gaus(6)"); |
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52 | nitro.SetParameter(0, 49); |
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53 | nitro.SetParameter(1, 337*nm); |
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54 | nitro.SetParameter(2, 0.05*nm); |
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55 | nitro.SetParameter(3, 36); |
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56 | nitro.SetParameter(4, 357*nm); |
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57 | nitro.SetParameter(5, 0.05*nm); |
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58 | nitro.SetParameter(6, 15); |
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59 | nitro.SetParameter(7, 391*nm); |
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60 | nitro.SetParameter(8, 0.05*nm); |
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61 | BuildFormula(&nitro, 100, 300*nm, 400*nm); |
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62 | } |
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63 | else |
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64 | MsgForm(EsafMsg::Panic,"EsafSpectrum: Cannot build myself "); |
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65 | } |
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66 | |
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67 | //______________________________________________________________________________ |
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68 | EsafSpectrum::EsafSpectrum(const TH1F* histo) : fGraph(0), fName(""){ |
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69 | // call with histogram |
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70 | |
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71 | BuildHisto(histo); |
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72 | } |
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73 | |
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74 | //______________________________________________________________________________ |
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75 | EsafSpectrum::EsafSpectrum(const TF1* func) : fGraph(0), fName(""){ |
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76 | // |
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77 | // call with function |
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78 | // |
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79 | |
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80 | BuildFunction(func); |
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81 | } |
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82 | |
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83 | |
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84 | //______________________________________________________________________________ |
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85 | EsafSpectrum::EsafSpectrum(TFormula* formula, Int_t nbins, Float_t xmin, Float_t xmax) : fGraph(0), fName(""){ |
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86 | // |
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87 | // Call with formula |
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88 | // |
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89 | |
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90 | BuildFormula(formula, nbins, xmin, xmax); |
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91 | } |
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92 | |
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93 | //______________________________________________________________________________ |
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94 | EsafSpectrum::EsafSpectrum(const EsafSpectrum& o) : fGraph(0), fName(""){ |
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95 | // |
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96 | // copy ctor |
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97 | // |
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98 | |
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99 | o.Copy(*this); |
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100 | |
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101 | } |
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102 | |
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103 | //______________________________________________________________________________ |
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104 | void EsafSpectrum::Copy(EsafSpectrum& o) const{ |
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105 | // |
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106 | // copy ctor |
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107 | // |
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108 | fSpectrum.Copy(o.fSpectrum); |
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109 | fIntegral.Copy(o.fIntegral); |
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110 | fAxis.Copy(o.fAxis); |
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111 | |
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112 | SafeDelete(o.fGraph); |
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113 | if (fGraph) o.fGraph = (TGraph*)fGraph->Clone(); |
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114 | |
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115 | o.fName = fName; |
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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 | void EsafSpectrum::Reset(Float_t wl) { |
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121 | // |
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122 | // reset monochromatic |
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123 | // |
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124 | |
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125 | BuildMono(wl); |
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126 | } |
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127 | |
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128 | //______________________________________________________________________________ |
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129 | void EsafSpectrum::Reset(Float_t wlmin, Float_t wlmax) { |
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130 | // |
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131 | // reset flat |
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132 | // |
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133 | |
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134 | BuildFlat(wlmin, wlmax); |
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135 | } |
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136 | |
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137 | //______________________________________________________________________________ |
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138 | void EsafSpectrum::Reset(const TH1F* histo) { |
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139 | // |
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140 | // reset histogram |
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141 | // |
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142 | |
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143 | BuildHisto(histo); |
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144 | } |
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145 | |
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146 | //______________________________________________________________________________ |
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147 | void EsafSpectrum::Reset(const TF1* func) { |
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148 | // |
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149 | // reset function |
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150 | // |
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151 | |
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152 | BuildFunction(func); |
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153 | } |
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154 | |
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155 | //______________________________________________________________________________ |
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156 | void EsafSpectrum::Reset(TFormula* formula, Int_t nbins, Float_t xmin, Float_t xmax) { |
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157 | // |
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158 | // reset formula |
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159 | // |
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160 | |
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161 | BuildFormula(formula, nbins, xmin, xmax); |
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162 | } |
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163 | |
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164 | //______________________________________________________________________________ |
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165 | void EsafSpectrum::BuildMono( Float_t wl) { |
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166 | // |
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167 | // monochromatic |
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168 | // |
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169 | |
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170 | fAxis.Set(1, wl - 0.1*nm, wl + 0.1*nm); |
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171 | |
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172 | SetArraysSize(1); |
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173 | |
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174 | fSpectrum[0] = 1.0 / fAxis.GetBinWidth(1); |
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175 | fIntegral[0] = 0.0; |
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176 | fIntegral[1] = 1.0; |
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177 | fIntegral[2] = 1.0; |
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178 | |
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179 | fName = Form("Monochromatic %.1f nm",wl/nm); |
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180 | } |
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181 | |
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182 | |
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183 | //______________________________________________________________________________ |
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184 | void EsafSpectrum::BuildFlat( Float_t wlmin, Float_t wlmax ) { |
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185 | // |
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186 | // monochromatic |
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187 | // |
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188 | |
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189 | if ( wlmax < wlmin) { |
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190 | Float_t x = wlmin; |
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191 | wlmin = wlmax; |
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192 | wlmax = x; |
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193 | MsgForm(EsafMsg::Debug,"Wlmin > Wlmax, values switched."); |
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194 | } |
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195 | |
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196 | Int_t nbins = 2; // must be > 1 |
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197 | fAxis.Set(nbins, wlmin, wlmax); |
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198 | |
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199 | SetArraysSize(nbins); |
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200 | |
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201 | fIntegral[0] = 0. ; |
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202 | |
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203 | for ( Int_t i(0); i<nbins; i++ ) { |
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204 | fSpectrum[i] = 1.0 / (fAxis.GetBinWidth(i+1)*nbins); |
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205 | fIntegral[i+1] = (i+1) / (Float_t)nbins ; |
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206 | } |
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207 | |
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208 | fIntegral[nbins+1] = 1. ; |
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209 | |
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210 | fName = Form("Flat %.1f-%.1f nm",wlmin/nm,wlmax/nm); |
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211 | } |
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212 | |
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213 | //______________________________________________________________________________ |
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214 | void EsafSpectrum::BuildHisto(const TH1F* histo) { |
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215 | // |
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216 | // histogram |
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217 | // |
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218 | |
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219 | (*histo->GetXaxis()).Copy(fAxis); |
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220 | Int_t nbins = fAxis.GetNbins(); |
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221 | Float_t integral = histo->Integral(1, nbins, "width"); |
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222 | SetArraysSize(nbins); |
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223 | |
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224 | fIntegral[0] = 0. ; |
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225 | |
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226 | for (Int_t i(0); i<nbins; i++) { |
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227 | fSpectrum[i] = histo->GetBinContent(i+1)/integral; |
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228 | fIntegral[i+1] = histo->Integral(1,i+1,"width")/integral; |
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229 | } |
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230 | |
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231 | fIntegral[nbins+1] = 1. ; |
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232 | |
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233 | fName = "Histogram "; |
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234 | fName += histo->GetName(); |
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235 | } |
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236 | |
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237 | //______________________________________________________________________________ |
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238 | void EsafSpectrum::BuildFunction(const TF1* func) { |
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239 | // |
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240 | // function |
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241 | // |
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242 | |
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243 | TH1* HistoFunc = func->GetHistogram(); |
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244 | (*HistoFunc->GetXaxis()).Copy(fAxis); |
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245 | Int_t nbins = fAxis.GetNbins(); |
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246 | Float_t integral = HistoFunc->Integral(1, nbins, "width"); |
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247 | SetArraysSize(nbins); |
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248 | |
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249 | fIntegral[0] = 0. ; |
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250 | |
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251 | for (Int_t i(0); i<nbins; i++) { |
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252 | fSpectrum[i] = HistoFunc->GetBinContent(i+1)/integral; |
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253 | fIntegral[i+1] = HistoFunc->Integral(1,i+1,"width")/integral; |
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254 | } |
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255 | |
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256 | fIntegral[nbins+1] = 1. ; |
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257 | |
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258 | fName = "Function "; |
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259 | fName += func->GetName(); |
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260 | } |
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261 | |
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262 | //______________________________________________________________________________ |
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263 | void EsafSpectrum::BuildFormula(TFormula* formula, Int_t nbins, Float_t xmin, Float_t xmax) { |
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264 | // |
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265 | // formula |
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266 | // |
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267 | |
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268 | Float_t integral=0; |
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269 | fAxis.Set(nbins, xmin, xmax); |
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270 | SetArraysSize(nbins); |
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271 | |
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272 | for (Int_t i=0; i<nbins; i++) integral+=formula->Eval(fAxis.GetBinCenter(i+1))*fAxis.GetBinWidth(i+1); |
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273 | |
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274 | fIntegral[0] = 0. ; |
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275 | |
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276 | for (Int_t i(0); i<nbins; i++) { |
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277 | fSpectrum[i] = formula->Eval(fAxis.GetBinCenter(i+1))/integral; |
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278 | fIntegral[i+1] = fIntegral[i] + fSpectrum[i]*fAxis.GetBinWidth(i+1); |
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279 | } |
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280 | |
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281 | fIntegral[nbins+1] = 1. ; |
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282 | |
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283 | fName = "Formula "; |
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284 | fName += formula->GetName(); |
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285 | } |
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286 | |
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287 | |
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288 | |
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289 | //______________________________________________________________________________ |
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290 | EsafSpectrum::~EsafSpectrum() { |
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291 | // |
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292 | // destructor |
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293 | // |
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294 | } |
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295 | |
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296 | //______________________________________________________________________________ |
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297 | Float_t EsafSpectrum::GetLambda() const { |
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298 | // |
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299 | // generate a random number from fIntegral |
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300 | // |
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301 | Int_t nbins = fAxis.GetNbins(); |
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302 | |
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303 | if (nbins == 1) return fAxis.GetBinCenter(1); |
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304 | else { |
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305 | TRandom *rndm = EsafRandom::Get(); |
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306 | Float_t r1 = rndm->Rndm(); |
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307 | |
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308 | // +1 added because fIntegral's size is nbins, not nbins+2 like in TH1 |
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309 | Int_t ibin = BinarySearch(nbins,fIntegral.GetArray(),r1); |
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310 | Float_t a = fAxis.GetBinLowEdge(ibin+1); |
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311 | Stat_t bw = fAxis.GetBinWidth(ibin+1); |
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312 | Stat_t i0 = fIntegral[ibin]; |
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313 | Stat_t i1 = fIntegral[ibin+1]; |
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314 | |
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315 | Stat_t d = 0; |
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316 | |
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317 | if ( ibin == -1 ) { |
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318 | // FIXME should not happen |
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319 | // this may happen when fIntegral[0] > 0 |
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320 | // it is somehow equivalent to state that fIntegral[-1]=0 |
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321 | for(Int_t i(0); i<fIntegral.GetSize(); i++) |
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322 | d = bw*r1/i0; |
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323 | } else { |
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324 | // standard case |
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325 | if ( (i1-i0) < kTolerance ) |
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326 | d = 0; |
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327 | else |
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328 | d = bw*(r1-i0)/(i1-i0); |
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329 | // d = fAxis.GetBinWidth(ibin+1)*(r1-fIntegral[ibin])/(fIntegral[ibin+1]-fIntegral[ibin]); |
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330 | } |
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331 | if ( IsNaN(a) || IsNaN(d) ) { |
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332 | FatalError("EsafSpectrum::GetLambda() does not converge?!"); |
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333 | } |
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334 | |
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335 | return a+d; |
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336 | } |
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337 | } |
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338 | |
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339 | //______________________________________________________________________________ |
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340 | Float_t EsafSpectrum::GetLambda(Int_t i) const { |
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341 | // |
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342 | // return a random wavelength within the considered bin (i = number of the bin - 1 !!... tables convention) |
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343 | // |
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344 | if(i < 0 || i > fAxis.GetNbins()-1) |
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345 | FatalError("Index out of range in EsafSpectrum::GetLambda(Int_t)"); |
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346 | TRandom* rndm = EsafRandom::Get(); |
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347 | return GetLambdaEntry(i) + (2*rndm->Rndm() - 1)/2*fAxis.GetBinWidth(i+1); |
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348 | } |
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349 | |
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350 | |
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351 | //______________________________________________________________________________ |
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352 | void EsafSpectrum::BuildTest() { |
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353 | // |
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354 | // Build a test spectrum |
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355 | // |
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356 | Float_t xmin=300.0; |
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357 | Float_t xmax=400.0; |
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358 | Int_t nbins=100; |
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359 | Float_t integral=0; |
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360 | |
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361 | fAxis.Set(nbins, xmin, xmax); |
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362 | |
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363 | SetArraysSize(nbins); |
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364 | |
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365 | for (Int_t i=0; i<nbins; i++) |
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366 | integral+=TMath::Abs(TMath::Sin((GetLambdaEntry(i)-xmin)*(TMath::TwoPi()/(xmax-xmin))))*fAxis.GetBinWidth(i); |
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367 | |
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368 | fIntegral[0] = 0. ; |
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369 | |
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370 | for (Int_t i=0; i<nbins; i++) { |
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371 | fSpectrum[i] = TMath::Abs(TMath::Sin((GetLambdaEntry(i)-xmin)*(TMath::TwoPi()/(xmax-xmin))))/integral; |
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372 | fIntegral[i+1] = fIntegral[i] + fSpectrum[i+1]*fAxis.GetBinWidth(i); |
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373 | } |
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374 | |
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375 | fIntegral[nbins+1] = 1. ; |
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376 | |
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377 | fName = "Test Spectrum"; |
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378 | } |
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379 | |
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380 | //______________________________________________________________________________ |
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381 | void EsafSpectrum::Clear(Float_t val) { |
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382 | // |
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383 | // fill all the bins with the given value |
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384 | // |
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385 | for(Int_t i=0; i<fAxis.GetNbins(); i++) { |
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386 | fSpectrum[i] = val / fAxis.GetBinWidth(i+1); |
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387 | // if (i == 0) |
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388 | // fIntegral[i+1] = fSpectrum[i]*fAxis.GetBinWidth(i+1); |
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389 | // else |
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390 | fIntegral[i+1] = fIntegral[i] + fSpectrum[i]*fAxis.GetBinWidth(i+1); |
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391 | } |
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392 | } |
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393 | |
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394 | //______________________________________________________________________________ |
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395 | void EsafSpectrum::Draw() { |
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396 | // |
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397 | // draw fSpectrum |
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398 | // |
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399 | Int_t nbins = fAxis.GetNbins(); |
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400 | |
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401 | // empty spectrum, quit |
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402 | if (!nbins) return; |
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403 | |
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404 | SafeDelete(fGraph); |
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405 | fGraph = new TGraph; |
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406 | |
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407 | fGraph->Set(nbins); |
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408 | |
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409 | for(Int_t i=0; i<nbins; i++) |
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410 | fGraph->SetPoint(i, GetLambdaEntry(i), fSpectrum[i]); |
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411 | |
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412 | fGraph->Draw("ALP"); |
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413 | } |
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414 | |
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415 | |
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416 | //______________________________________________________________________________ |
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417 | Float_t EsafSpectrum::ConvoluteAndNormalize(const Double_t* coeff) { |
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418 | // |
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419 | // Convolute the spectrum with an array of numbers. Returns the normalization coeff |
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420 | // |
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421 | Int_t i; |
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422 | Int_t nb = fAxis.GetNbins(); |
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423 | Float_t integral = 0; |
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424 | // Float_t prev = 0; |
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425 | for(i=0; i<nb; i++) integral += fSpectrum[i]*Float_t(coeff[i])*fAxis.GetBinWidth(i+1); |
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426 | for(i=0; i<nb; i++) { |
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427 | if(integral == 0) FatalError("EsafSpectrum::Convolute() impossible if weights are equal to zero"); |
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428 | fSpectrum[i] *= Float_t(coeff[i])/integral; |
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429 | // if(i) prev = fIntegral[i-1]; |
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430 | // prev = fIntegral[i-1]; |
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431 | fIntegral[i+1] = fIntegral[i] + fSpectrum[i]*fAxis.GetBinWidth(i+1); |
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432 | } |
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433 | return integral; |
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434 | } |
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435 | |
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436 | //______________________________________________________________________________ |
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437 | void EsafSpectrum::Convolute(const Double_t* coeff) { |
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438 | // |
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439 | // convolute without renormalization |
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440 | // |
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441 | for(Int_t i=0; i<fAxis.GetNbins(); i++) |
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442 | fSpectrum[i] *= Float_t(coeff[i]); |
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443 | } |
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