1 | #include <iostream>
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2 | #include <fstream>
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3 | #include <stdlib.h>
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4 |
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5 | #include "pulse.h"
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6 |
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7 | using namespace std;
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8 | using namespace TMath;
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9 |
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10 | Pulse::Pulse()
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11 | {
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12 | InitMembers();
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13 | }
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14 |
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15 | Pulse::Pulse(TString name)
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16 | {
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17 | InitMembers();
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18 | mName = name;
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19 | }
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20 |
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21 | Pulse::Pulse(TString name, TH1* histo)
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22 | {
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23 | InitMembers();
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24 | mName = name;
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25 | mHisto = histo;
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26 | Fit(mName, mOptions, mType);
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27 | }
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28 |
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29 | Pulse::Pulse(TString name, TH1* histo, int type)
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30 | {
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31 | InitMembers();
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32 | mName = name;
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33 | mHisto = histo;
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34 | mType = type;
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35 | Fit(mName, mOptions, mType);
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36 | }
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37 |
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38 | Pulse::Pulse(TString name, TH1* histo, TString options)
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39 | {
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40 | InitMembers();
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41 | mName = name;
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42 | mHisto = histo;
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43 | mOptions += options;
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44 | Fit(mName, mOptions, mType);
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45 | }
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46 |
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47 | Pulse::Pulse(TString name, TH1* histo, TString options, int type)
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48 | {
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49 | InitMembers();
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50 | mName = name;
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51 | mHisto = histo;
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52 | mOptions += options;
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53 | mType = type;
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54 | Fit(mName, mOptions, mType);
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55 | }
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56 |
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57 | Pulse::Pulse(TString name, TH1* histo, TString options, int type, int order)
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58 | {
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59 | InitMembers();
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60 | mName = name;
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61 | mHisto = histo;
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62 | mOptions += options;
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63 | mType = type;
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64 | mOrder = order;
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65 | Fit(mName, mOptions, mType);
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66 | }
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67 |
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68 |
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69 | Pulse::~Pulse()
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70 | {
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71 | delete mModel;
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72 | }
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73 |
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74 | // ===========================================================================
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75 | // PUBLIC OPERATIONS
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76 | // ===========================================================================
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77 |
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78 | void
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79 | Pulse::Fit()
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80 | {
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81 | Fit(mName, mOptions, mType);
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82 | }
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83 |
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84 | void
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85 | Pulse::Fit(
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86 | TString fitOptions,
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87 | int type
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88 | )
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89 | {
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90 | Fit(mName, fitOptions, type);
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91 | }
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92 |
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93 | void
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94 | Pulse::Fit(
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95 | TString fitName,
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96 | TString fitOptions,
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97 | int type
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98 | )
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99 | {
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100 | int fitMin = mHisto->GetXaxis()->GetBinLowEdge( mHisto->GetXaxis()->GetFirst() );
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101 | int fitMax = mHisto->GetXaxis()->GetBinUpEdge( mHisto->GetXaxis()->GetLast() );
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102 |
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103 | Fit(
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104 | fitName,
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105 | fitOptions,
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106 | type,
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107 | fitMin,
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108 | fitMax
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109 | );
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110 | }
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111 |
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112 | void
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113 | Pulse::Fit(
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114 | TString fitName,
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115 | TString fitOptions,
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116 | int type,
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117 | int fitMin,
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118 | int fitMax
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119 | )
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120 | {
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121 | // mHisto->Sumw2();
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122 |
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123 | fitOptions += "R";
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124 | if (type == 0) //use sectionwise function
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125 | FitSectionWise(
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126 | fitName,
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127 | fitOptions,
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128 | fitMin,
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129 | fitMax
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130 | );
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131 | else if (type == 1) //use continous function
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132 | FitContious(
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133 | fitName,
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134 | fitOptions,
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135 | fitMin,
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136 | fitMax
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137 | );
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138 | else{
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139 | cout << "not a correct type number --> fitting skipped!" << endl;
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140 | return;
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141 | }
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142 |
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143 | CalculateParameters();
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144 | return;
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145 | }
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146 |
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147 | // ===========================================================================
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148 | // PRIVATE OPERATIONS
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149 | // ===========================================================================
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150 |
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151 | void
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152 | Pulse::InitMembers()
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153 | {
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154 | mName = "pulse";
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155 | mHisto = NULL;
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156 | mModel = NULL;
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157 | mOptions = "ERS";
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158 | mBsl.first = 0;
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159 | mHeight.first = 0;
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160 | mT0.first = 0;
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161 | mT1.first = 0;
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162 | mTau1.first = 0;
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163 | mTau2.first = 0;
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164 | mIntegral.first = 0;
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165 | mAmplitude.first = 0;
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166 | mPhE.first = 0;
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167 | mBsl.second = 0;
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168 | mHeight.second = 0;
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169 | mT0.second = 0;
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170 | mT1.second = 0;
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171 | mTau1.second = 0;
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172 | mTau2.second = 0;
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173 | mIntegral.second = 0;
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174 | mAmplitude.second = 0;
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175 | mPhE.second = 0;
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176 | mRisetime.first = 0;
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177 | mRisetime.second = 0;
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178 | mOrder = 0;
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179 | mType = 0;
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180 | mFitProb = 0;
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181 | mFitNCalls = 0;
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182 | mFitNdf = 0;
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183 | mChi2 = 0;
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184 | mTimeResolution = 0.5;
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185 | mVerbosityLvl = 6;
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186 | }
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187 |
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188 | // Fit pulseshape with a section wise defined funciton
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189 | // expressed by a sum of section wise defined exp-functions
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190 | //controled by heaviside function
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191 | void
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192 | Pulse::FitSectionWise(
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193 | TString fitName,
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194 | TString fitOptions,
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195 | int fitMin,
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196 | int fitMax
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197 | )
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198 | {
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199 | int numPara = 7;
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200 | mFitMin = fitMin;
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201 | mFitMax = fitMax;
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202 | mModel = new TF1(fitName, shapeFunc, fitMin, fitMax, numPara );
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203 | mModel->SetNpx( mHisto->GetNbinsX());
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204 | // ======================================================================
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205 | // Calculate startvaues for fit
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206 | double tau = 30.0;
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207 | double bsl = 0.8; //shall be around 0
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208 | double gain = 10; //startvalue for gain
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209 |
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210 | int first_bin = mHisto->GetXaxis()->GetFirst();
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211 |
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212 | for (int i = 0; i < 30; i++){
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213 | bsl += mHisto->GetBinContent(first_bin+0);
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214 | }
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215 | bsl = bsl/30;
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216 |
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217 | double stop = mHisto->GetMaximumBin(); //pos of max
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218 | double amplitude = mHisto->GetBinContent(stop);
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219 | double start = stop-10; //pos 10 slices before maximum
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220 | int phe = 0;
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221 | if (mOrder < 0)
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222 | {
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223 | phe = (amplitude-bsl)/gain;
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224 | }
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225 | else
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226 | {
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227 | phe = mOrder+1;
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228 | }
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229 | // ======================================================================
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230 |
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231 | double para[] = {bsl, amplitude, start, stop, tau, tau, phe};
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232 |
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233 |
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234 | // cout startvalues
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235 | if (mVerbosityLvl > 3)
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236 | {
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237 | for (unsigned int i = 0; i < numPara; i++)
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238 | {
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239 | cout << "para[ " << i << "]: " << para[i] << endl;
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240 | }
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241 | }
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242 |
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243 |
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244 | mModel->SetParameters(para);
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245 | mModel->SetParNames("BSL", "A0", "t0", "t1", "Tau1", "Tau2", "PhE");
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246 | mModel->SetLineColor(kRed);
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247 | mModel->FixParameter(0, bsl);
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248 |
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249 | mFitResultPtr = mHisto->Fit(mModel, fitOptions);
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250 | mBsl.first = mModel->GetParameter(0);
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251 | mBsl.second = mModel->GetParError(0);
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252 | mHeight.first = mModel->GetParameter(1);
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253 | mHeight.second = mModel->GetParError(1);
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254 | mT0.first = mModel->GetParameter(2);
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255 | mT0.second = mModel->GetParError(2);
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256 | mT1.first = mModel->GetParameter(3);
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257 | mT1.second = mModel->GetParameter(3);
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258 | mTau1.first = mModel->GetParameter(4);
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259 | mTau1.second = mModel->GetParError(4);
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260 | mTau2.first = mModel->GetParameter(5);
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261 | mTau2.second = mModel->GetParError(5);
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262 | mPhE.first = mModel->GetParameter(6);
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263 | mPhE.second = mModel->GetParError(6);
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264 | }
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265 |
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266 | // Fit pulseshape with a continous funciton expressed by a product of two exp-functions
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267 | void
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268 | Pulse::FitContious(
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269 | TString fitName,
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270 | TString fitOptions,
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271 | int fitMin,
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272 | int fitMax
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273 | )
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274 | {
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275 | int numPara = 6;
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276 | mFitMin = fitMin;
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277 | mFitMax = fitMax;
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278 | mModel = new TF1(fitName, shapeFunc2, fitMin, fitMax, numPara );
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279 | mModel->SetNpx( mHisto->GetNbinsX());
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280 | // ======================================================================
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281 | // Calculate startvaues for fit
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282 | double tau = 30.0;
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283 | double bsl = 0; //MW der ersten zehn slices
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284 | // double bsl2 = 0; //MW der ersten zehn slices
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285 | double gain = 10; //startvalue for gain
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286 | int counter = 0;
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287 |
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288 | double stop = mHisto->GetMaximumBin(); //pos of max
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289 | double amplitude=0;
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290 |
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291 | for (int i = (stop - 3) ; i < (stop + 3) && i <= fitMax && i >= fitMin ; i++)
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292 | {
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293 | counter++;
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294 | amplitude= mHisto->GetBinContent(i);
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295 | }
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296 | amplitude=amplitude/counter;
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297 |
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298 | counter = 0;
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299 | for (int i = (stop - 15) ; i > fitMin+2 && i <= fitMax ; i--)
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300 | {
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301 | if (mHisto->GetBinContent(i) > 0)
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302 | {
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303 | break;
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304 | }
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305 | counter++;
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306 | bsl += mHisto->GetBinContent(i);
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307 | }
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308 | if (counter <= 0)
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309 | {
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310 | counter = 1;
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311 | }
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312 | bsl = bsl/counter;
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313 |
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314 | // counter = 0;
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315 | // for (int i = stop + 100; i < stop + 200 && i <= fitMax && i >= fitMin ; i++)
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316 | // {
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317 | // if (mHisto->GetBinContent(i) > 0.5*amplitude )
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318 | // {
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319 | // break;
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320 | // }
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321 | // counter++;
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322 | // bsl2 += mHisto->GetBinContent(i);
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323 | // }
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324 | // if (counter <= 0)
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325 | // {
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326 | // counter = 1;
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327 | // }
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328 | // bsl2 = bsl2/counter;
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329 |
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330 | double start = mHisto->GetBinCenter(stop-10); //pos 10 slices before maximum
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331 | int phe = 0;
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332 | if (mOrder < 0)
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333 | {
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334 | phe = (amplitude-bsl)/gain;
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335 | }
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336 | else
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337 | {
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338 | phe = mOrder+1;
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339 | }
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340 | // ======================================================================
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341 |
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342 |
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343 | double para[] = {bsl, 2*amplitude+gain, start, tau*0.5, tau, phe};
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344 | mModel->SetParameters(para);
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345 | mModel->SetParNames("BSL", "A0", "t0", "Tau1", "Tau2", "PhE");
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346 | mModel->SetLineColor(kBlue);
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347 | mModel->FixParameter(0, bsl);
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348 | mModel->FixParameter(1, 2*amplitude+gain);
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349 |
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350 | // cout startvalues
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351 | if (mVerbosityLvl > 3)
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352 | {
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353 | cout << endl;
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354 | for (unsigned int i = 0; i < numPara; i++)
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355 | {
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356 | cout << "para[ " << i << "]: " << para[i] << endl;
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357 | }
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358 | }
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359 | mFitResultPtr = mHisto->Fit(mModel, fitOptions);
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360 | mBsl.first = mModel->GetParameter(0);
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361 | mBsl.second = mModel->GetParError(0);
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362 | mHeight.first = mModel->GetParameter(1);
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363 | mHeight.second = mModel->GetParError(1);
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364 | mT0.first = mModel->GetParameter(2);
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365 | mT0.second = mModel->GetParError(2);
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366 | mTau1.first = mModel->GetParameter(3);
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367 | mTau1.second = mModel->GetParError(3);
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368 | mTau2.first = mModel->GetParameter(4);
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369 | mTau2.second = mModel->GetParError(4);
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370 | mPhE.first = mModel->GetParameter(5);
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371 | mPhE.second = mModel->GetParError(5);
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372 |
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373 | // cout << "test" << mBsl.first << "\t +/-" << mBsl.second << endl;
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374 | }
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375 |
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376 | void
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377 | Pulse::CalculateParameters()
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378 | {
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379 | mIntegral.first = mModel->Integral(mFitMin, mFitMax);
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380 | //TODO setze konstantes glied auf 0 dann integrieren und fehler bestimmen
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381 | mIntegral.second = mModel->IntegralError(mFitMin, mFitMax);
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382 | mAmplitude.first = mModel->GetMaximum() - mBsl.first;
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383 | // mAmplitude.second = mModel->GetMaximum() - mBsl.first;
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384 | mRisetime.first = mTimeResolution*CalculateHistEdgeRisetime();
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385 | mFitProb = mFitResultPtr->Prob();
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386 | mFitNCalls = mFitResultPtr->NCalls();
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387 | mFitNdf = mFitResultPtr->Ndf();
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388 | mChi2 = mFitResultPtr->Chi2();
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389 | }
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390 |
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391 | double
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392 | Pulse::CalculateHistEdgeRisetime() // in bins
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393 | {
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394 | //rise-tim for pulse for pulse height from 10% to 90%
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395 | double riseTime = 0;
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396 |
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397 | // Get Pulse Maximum value and bin
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398 | int maxBin = mHisto->GetMaximumBin();
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399 | double max = mHisto->GetBinContent(maxBin);
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400 |
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401 | // values of bin with 10% and 90%
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402 | int tenPctBin = 0;
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403 | int ninetyPctBin = 0;
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404 |
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405 | // flag points
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406 | bool finishedLow = false;
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407 | bool finishedHigh = false;
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408 |
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409 | //2nd runvariable
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410 | int j = maxBin;
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411 |
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412 | //loop over from 20 bins bevore max to maximum
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413 | for (int i = maxBin - 20; i<maxBin; i++){
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414 | j--;
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415 | if (j<0) break;
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416 |
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417 | if (mHisto->GetBinContent(i) >= 0.1*max && !finishedLow)
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418 | {
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419 | tenPctBin = i;
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420 | finishedLow = true;
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421 | }
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422 |
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423 |
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424 | if (mHisto->GetBinContent(j) <= 0.9*max && !finishedHigh)
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425 | {
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426 | ninetyPctBin = j;
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427 | finishedHigh = true;
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428 | }
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429 |
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430 | if (finishedLow && finishedHigh)
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431 | {
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432 | break;
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433 | }
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434 | }
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435 |
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436 | riseTime = mHisto->GetBinLowEdge(ninetyPctBin) - mHisto->GetBinLowEdge(tenPctBin);
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437 | return riseTime;
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438 | }
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439 |
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440 |
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441 |
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442 |
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443 | // ===========================================================================
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444 | // ACCESS
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445 | // ===========================================================================
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446 |
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447 | TString Pulse::GetName(){ return mName;}
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448 | double Pulse::GetBsl(){ return mBsl.first;}
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449 | double Pulse::GetBslErr(){ return mBsl.second;}
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450 | double Pulse::GetHeight(){ return mHeight.first;}
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451 | double Pulse::GetHeightErr(){ return mHeight.second;}
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452 | double Pulse::GetT0(){ return mT0.first;}
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453 | double Pulse::GetT0Err(){ return mT0.second;}
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454 | double Pulse::GetT1(){ return mT1.first;}
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455 | double Pulse::GetT1Err(){ return mT1.second;}
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456 | double Pulse::GetTau1(){ return mTau1.first;}
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457 | double Pulse::GetTau1Err(){ return mTau1.second;}
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458 | double Pulse::GetTau2(){ return mTau2.first;}
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459 | double Pulse::GetTau2Err(){ return mTau2.second;}
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460 | double Pulse::GetIntegral(){ return mIntegral.first;}
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461 | double Pulse::GetIntegralErr(){ return mIntegral.second;}
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462 | double Pulse::GetAmplitude(){ return mAmplitude.first;}
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463 | double Pulse::GetAmplitudeErr(){ return mAmplitude.second;}
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464 | int Pulse::GetPhE(){ return mPhE.first;}
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465 | int Pulse::GetPhEErr(){ return mPhE.second;}
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466 | double Pulse::GetRiseTime(){ return mRisetime.first; }
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467 | double Pulse::GetRiseTimeErr(){ return mRisetime.second;}
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468 | int Pulse::GetOrder(){ return mOrder;}
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469 | int Pulse::GetType(){return mType;}
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470 | int Pulse::GetFitMin(){return mFitMin;}
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471 | int Pulse::GetFitMax(){return mFitMax;}
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472 | double Pulse::GetFitProb(){return mFitProb;}
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473 | double Pulse::GetFitNCalls(){return mFitNCalls;}
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474 | double Pulse::GetFitNdf(){return mFitNdf;}
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475 | double Pulse::GetChi2(){return mChi2;}
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476 | double Pulse::GetTimeResolution(){return mTimeResolution;}
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477 | void Pulse::SetTimeResolution(double timeResolution){mTimeResolution = timeResolution;}
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478 | void Pulse::SetVerbosity(int verbLvl){mVerbosityLvl = verbLvl;}
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479 |
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480 |
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481 | // ===========================================================================
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482 | // NON CLASS MATH FUNCTIONS
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483 | // ===========================================================================
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484 |
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485 | //double
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486 | int Heaviside(double val)
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487 | {
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488 | if( val >= 0) return 1;
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489 | else return 0;
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490 | }
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491 |
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492 | //Pulse::
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493 | double shapeFunc(
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494 | double* t,
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495 | double* par
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496 | )
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497 | {
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498 | double returnval= 0.0;
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499 |
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500 | // name parameters
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501 | double bsl = par[0];
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502 | double height = par[1];
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503 | double start = par[2];
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504 | // double rising = par[3];
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505 | double stop = par[3];
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506 | double tau1 = par[4];
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507 | double tau2 = par[5];
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508 | int phe = par[6];
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509 |
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510 | // helper variables
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511 | // double max = start + rising * tau1;
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512 | double e1 = (1 - Exp(-(t[0]-start)/tau1 ) );
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513 | // double e2 = (-1) * height * (1 - Exp(-(x[0]-max)/tau2 ) );
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514 | double e2 = (-1) * (1 - Exp(-(t[0]-stop)/tau2 ) );
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515 | // calculate return value
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516 | returnval += Heaviside(t[0]-start)*e1;
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517 | returnval += Heaviside(t[0]-stop)*e2;
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518 | returnval *= phe*height;
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519 | returnval += bsl;
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520 | // if (t[0] > start)
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521 | // returnval += e1;
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522 | // if (t[0] > stop)
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523 | // returnval += e2;
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524 |
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525 | return returnval;
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526 |
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527 |
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528 | }
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529 |
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530 |
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531 |
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532 | /*
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533 | [18:42:13] Dominik: können wir nachher skypen? haste n headset?
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534 | [18:47:34] Dominik: hallo?
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535 | [18:53:38] Dominik: so also ich hab das file glaubich gefunden
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536 | [18:54:04] Dominik: height ist schonmal nicht die amplitude des pulses.
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537 | [18:54:52] Dominik: der puls ist ja sozusagen aus 2 funkionen zusammen gesetzt
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538 | [18:55:08] Dominik: die erste funktion, in meinem skript damals e1 genannt
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539 | [18:55:22] Dominik: ist ja ne umgekehrte nach obenverschobene e-fkt
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540 | [18:55:54] Dominik: und so wie sich ne normale abfallende e-fkt der null annähert, so nähert sich meine e1 dem wert 'height' an
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541 | [18:56:11] Dominik: allerdings kommt nun noch die abfallende e-fkt e2 dazu,
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542 | [18:57:20] Dominik: im Allgemeinen legt e2 schon los, bevor e1 auch nur in die Nähe von 'height' kommt und beginnt die Kurve nach unten zu drücken.
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543 | [18:57:37] Dominik: height ist also ein Skalenparameter, der nicht anschaulich ist
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544 | [18:59:27] Dominik: aber ich vermute, wenn man die Funktion nimmt und wie inder 9ten klasse die ableitung macht um die Position und Höhe des Maximums zu bestimmen, dann geht 'height' als linearer Faktor in die Höhe ein und spielt für die Position des Maximums keine Rolle.
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545 | Wenn das so ist, dann ist 'height' eine gute Schraube für den Fit-Algorithmus.... aber anschaulich wie gesagt nicht.
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546 |
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547 | p0 = [-1., 10., 50., 70, 30., 30.] # Initial guess for the parameters
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548 |
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549 | bsl = p[0] # just the baseline
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550 | height = p[1] # this is not the pulse height, but the maximum of the discharging edge
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551 | # it *would* be the pulse height only in case the
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552 | # recharging process would set in later...
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553 |
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554 | start = p[2] # start of avalanche aka start of discharge of diode capacitance
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555 | stop = p[3] # stop of avalanche, or start of recharging of diode
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556 | tau1 = p[4] # time constant of discharging process
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557 | tau2 = p[5] # time constant of recharging process
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558 |
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559 | */
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560 |
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561 |
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562 | double shapeFunc2(
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563 | double* t,
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564 | double* par
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565 | )
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566 | {
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567 | double returnval= 0.0;
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568 |
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569 | // name parameters
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570 | double bsl = par[0];
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571 | double gain = par[1];
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572 | double t_0 = par[2];
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573 | double tau1 = par[3];
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574 | double tau2 = par[4];
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575 | int phe = par[5];
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576 | // double bsl2 = par[6];
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577 |
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578 | // helper variables
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579 | double e1 = 1 - Exp(-(t[0]-t_0)/tau1 ) ;
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580 | double e2 = Exp(-(t[0]-t_0)/tau2 ) ;
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581 |
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582 | // calculate return value
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583 | returnval += bsl;
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584 | returnval += phe*gain*e1*e2*Heaviside(t[0]-t_0);
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585 |
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586 | return returnval;
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587 | }
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