1 | /* * * * * * * * * * * * * * * * * * * * * * * * * * * *
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2 | * *
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3 | * --<--<-- A fast simulator --<--<-- *
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4 | * / --<--<-- of particle --<--<-- *
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5 | * ----HECTOR----< *
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6 | * \ -->-->-- transport through -->-->-- *
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7 | * -->-->-- generic beamlines -->-->-- *
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8 | * *
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9 | * JINST 2:P09005 (2007) *
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10 | * X Rouby, J de Favereau, K Piotrzkowski (CP3) *
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11 | * http://www.fynu.ucl.ac.be/hector.html *
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12 | * *
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13 | * Center for Cosmology, Particle Physics and Phenomenology *
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14 | * Universite catholique de Louvain *
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15 | * Louvain-la-Neuve, Belgium *
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16 | * *
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17 | * * * * * * * * * * * * * * * * * * * * * * * * * * * */
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18 |
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19 | /// \file H_OpticalElement.cc
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20 | /// \brief Class aiming at describing any beam optical element.
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21 |
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22 | // c++ #includes
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23 | #include <iostream>
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24 | #include <string>
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25 |
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26 | // ROOT #includes
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27 | #include "TPaveLabel.h"
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28 |
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29 | // local #includes
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30 | #include "H_Parameters.h"
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31 | #include "H_TransportMatrices.h"
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32 | #include "H_Aperture.h"
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33 | #include "H_OpticalElement.h"
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34 | using namespace std;
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35 |
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36 | /// called by the constructors
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37 | void H_OpticalElement::init(const string& nameE, const int typeE, const double s, const double k, const double l) {
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38 | // this is called by the constructors
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39 | // must be in public section !
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40 | // xpos and ypos are vectors with n point. They define the aperture shape of the optical element.
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41 | name = nameE;
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42 | fs = s;
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43 | fk = k;
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44 | xpos = 0;
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45 | ypos = 0;
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46 | txpos = 0;
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47 | typos = 0;
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48 | element_length = l;
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49 | type = typeE;
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50 | element_mat.ResizeTo(MDIM,MDIM);
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51 | element_mat = driftmat(l);
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52 |
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53 | // do NOT use setAperture for the initialisation ! there are protections there
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54 |
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55 | if(element_length<0) { if(VERBOSE) cout<<"<H_OpticalElement> ERROR : Interpenetration of elements !"<<endl; }
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56 | if(element_length==0) { if(VERBOSE) cout<<"<H_OpticalElement> WARNING : 0-length element ! (" << name << ") " << " at " << fs << endl; }
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57 | betax =0;
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58 | betay =0;
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59 | }
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60 |
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61 | H_OpticalElement::H_OpticalElement() : element_aperture(new H_Aperture()) {
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62 | init("",DRIFT,0.,0.,0.1);
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63 | }
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64 |
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65 | H_OpticalElement::H_OpticalElement(const string& nameE, const int typeE, const double s, const double k, const double l) : element_aperture(new H_Aperture()) {
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66 | init(nameE,typeE,s,k,l);
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67 | }
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68 |
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69 | H_OpticalElement::H_OpticalElement(const string& nameE, const int typeE, const double s, const double k, const double l, H_Aperture* the_app) : element_aperture(the_app->clone()) {
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70 | init(nameE,typeE,s,k,l);
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71 | }
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72 |
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73 | H_OpticalElement::H_OpticalElement(const int typeE, const double s, const double k, const double l, H_Aperture* the_app) : element_aperture(the_app->clone()) {
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74 | init("",typeE,s,k,l);
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75 | }
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76 |
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77 | H_OpticalElement::H_OpticalElement(const int typeE, const double s, const double k, const double l) : element_aperture(new H_Aperture()) {
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78 | init("",typeE,s,k,l);
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79 | }
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80 |
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81 | H_OpticalElement::H_OpticalElement(const H_OpticalElement& el) {
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82 | fs = el.fs;
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83 | element_length = el.element_length;
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84 | fk = el.fk;
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85 | xpos = el.xpos;
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86 | ypos = el.ypos;
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87 | txpos = el.txpos;
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88 | typos = el.typos;
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89 | betax = el.betax;
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90 | betay = el.betay;
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91 | type = el.type;
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92 | name = el.name;
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93 | typestring = el.typestring;
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94 | element_mat.ResizeTo(MDIM,MDIM);
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95 | element_mat = el.element_mat;
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96 | element_aperture = el.element_aperture->clone();
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97 | }
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98 |
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99 | H_OpticalElement& H_OpticalElement::operator=(const H_OpticalElement& el) {
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100 | if(this==&el) return *this;
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101 | fs = el.fs;
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102 | element_length = el.element_length;
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103 | fk = el.fk;
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104 | xpos = el.xpos;
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105 | ypos = el.ypos;
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106 | txpos = el.txpos;
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107 | typos = el.typos;
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108 | betax = el.betax;
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109 | betay = el.betay;
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110 | type = el.type;
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111 | name = el.name;
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112 | typestring = el.typestring;
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113 | element_mat.ResizeTo(MDIM,MDIM);
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114 | element_mat = el.element_mat;
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115 | element_aperture = el.element_aperture->clone();
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116 | return *this;
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117 | }
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118 |
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119 | void H_OpticalElement::setAperture(const H_Aperture* ap) {
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120 | // do NOT use setAperture in your constructor, as element_aperture is not initialized
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121 | // this function do not take into account ap if ap=0
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122 | // do nothing if element_mat = ap
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123 | if (!ap) {cout << "<H_OpticalElement> Trying to set an empty pointer for the aperture ! Nothing done.\n"; return;}
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124 | if (element_aperture != ap) {
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125 | delete element_aperture;
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126 | element_aperture = ap->clone();
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127 | }
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128 | return;
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129 | }
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130 | /*
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131 | void H_OpticalElement::setAperture(H_Aperture* ap) {
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132 | // do NOT use setAperture in your constructor, as element_aperture is not initialized
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133 | // this function do not take into account ap if ap=0
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134 | // do nothing if element_mat = ap
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135 | if (!ap) {cout << "<H_OpticalElement> Trying to set an empty pointer for the aperture ! Nothing done.\n"; return;}
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136 | if (element_aperture != ap) {
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137 | delete element_aperture;
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138 | element_aperture = ap; //->clone();
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139 | }
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140 | return;
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141 | }
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142 | */
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143 |
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144 | std::ostream& operator<< (std::ostream& os, const H_OpticalElement& el) {
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145 | os << el.typestring << el.name << "\t at s = " << el.fs << "\t length = "<< el.element_length;
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146 | if(el.fk!=0) os <<"\t strength = " << el.fk;
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147 | if(el.element_aperture->getType()!=NONE) {
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148 | os << *(el.element_aperture) << endl;
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149 | }
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150 | os<<endl;
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151 | if(el.element_length<0 && VERBOSE)
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152 | os <<"<H_OpticalElement> ERROR : Interpenetration of elements !"<<endl;
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153 | else if(el.element_length==0 && VERBOSE)
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154 | os <<"<H_OpticalElement> WARNING : 0-length "<< el.typestring << " !" << endl;
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155 | return os;
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156 | }
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157 |
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158 | void H_OpticalElement::showMatrix() const {
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159 | printMatrix(element_mat);
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160 | return;
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161 | }
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162 |
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163 | void H_OpticalElement::drawAperture() const {
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164 | element_aperture->draw();
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165 | return;
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166 | }
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167 |
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168 | TMatrix H_OpticalElement::getMatrix() {
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169 | setMatrix(0,MP,1);
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170 | return element_mat;
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171 | }
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172 |
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173 | TMatrix H_OpticalElement::getMatrix(const float eloss, const float p_mass, const float p_charge) {
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174 | setMatrix(eloss,p_mass,p_charge);
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175 | return element_mat;
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176 | }
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177 |
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178 | void H_OpticalElement::draw(const float meight, const float height) const{
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179 | /// @param meight is the minimal extend of the graph
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180 | /// @param height is the maximal extend of the graph
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181 | float x1 = getS();
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182 | float x2 = getS() + getLength();
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183 | float y1 = meight;
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184 | float y2 = height;
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185 | TPaveLabel* cur_box = new TPaveLabel(x1,y1,x2,y2,"");
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186 | cur_box->SetBorderSize(1);
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187 | cur_box->SetFillStyle(1001);
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188 | cur_box->SetFillColor((int)getType());
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189 | cur_box->Draw();
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190 | }
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191 |
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192 | TVectorD H_OpticalElement::getHitPosition(const TVectorD& init_pos, const double energy_loss, const double mp, const double qp) {
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193 | if(!element_length) {
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194 | // cout<<"O-length element ("<<getName()<<"), should not appear here !"<<endl;
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195 | return init_pos;
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196 | }
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197 | // some declarations
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198 | bool inside = false;
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199 | double vec[MDIM] = {init_pos[INDEX_X]/URAD, tan(init_pos[INDEX_TX]/URAD),
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200 | init_pos[INDEX_Y]/URAD, tan(init_pos[INDEX_TY]/URAD),
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201 | -energy_loss, 1};
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202 | TMatrixD mat_init(1,MDIM,vec);
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203 | TMatrixD mat_min(1,MDIM,vec);
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204 | TMatrixD mat_max(1,MDIM,vec);
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205 | TMatrixD mat_stop(1,MDIM,vec);
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206 | H_OpticalElement* temp_el = clone();
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207 | // initialasing boundaries
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208 | double min_pos = 0;
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209 | double max_pos = element_length/2.;
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210 | double max_old = element_length/2.;
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211 | // number of iterations
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212 | // (idea : fix precision instead of number of iterations + add security)
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213 | // (idea : interpolate between max and min and give the error)
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214 | const int N = 10;
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215 | // starting search loop
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216 | for(int i = 0; i < N; i++) {
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217 | // fixing position to be investigated
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218 | temp_el->setLength(max_pos);
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219 | // initialising the vector at the initial vector + possible shift/tilt
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220 | mat_max[0][0] = mat_init[0][0] - temp_el->getX();
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221 | mat_max[0][1] = mat_init[0][1] - tan(temp_el->getTX());
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222 | mat_max[0][2] = mat_init[0][2] - temp_el->getY();
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223 | mat_max[0][3] = mat_init[0][3] - tan(temp_el->getTY());
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224 | // propagating
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225 | mat_max *= temp_el->getMatrix(energy_loss,mp,qp);
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226 | // compensating for the previously stated shifts/tilts
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227 | mat_max[0][0] = mat_max[0][0] + temp_el->getX();
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228 | mat_max[0][1] = mat_max[0][1] + tan(temp_el->getTX());
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229 | mat_max[0][2] = mat_max[0][2] + temp_el->getY();
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230 | mat_max[0][3] = mat_max[0][3] + tan(temp_el->getTY());
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231 | // fixing new boundaries
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232 | if(temp_el->isInside(mat_max.GetMatrixArray()[0]*URAD,mat_max.GetMatrixArray()[2]*URAD)) {
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233 | max_old = max_pos;
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234 | max_pos = max_pos + (max_pos - min_pos)/2.;
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235 | min_pos = max_old;
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236 | inside = true;
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237 | } else {
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238 | max_pos = min_pos + (max_pos - min_pos)/2.;
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239 | inside = false;
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240 | }
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241 | // end of loop
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242 | }
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243 | // if it passes at the last iteration, choosing the other range²
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244 | if(inside) min_pos = max_old;
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245 | // here the interpolation method : now we are sure that the intercept is between min_pos and max_pos
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246 | // getting vector at min_pos (for first boundary) :
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247 | bool precision_estimate = false;
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248 | if(precision_estimate) {
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249 | temp_el->setLength(min_pos);
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250 | mat_min[0][0] = mat_init[0][0] - temp_el->getX();
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251 | mat_min[0][1] = mat_init[0][1] - tan(temp_el->getTX());
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252 | mat_min[0][2] = mat_init[0][2] - temp_el->getY();
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253 | mat_min[0][3] = mat_init[0][3] - tan(temp_el->getTY());
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254 | mat_min *= temp_el->getMatrix(energy_loss,mp,qp);
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255 | mat_min[0][0] = mat_min[0][0] + temp_el->getX();
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256 | mat_min[0][1] = mat_min[0][1] + tan(temp_el->getTX());
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257 | mat_min[0][2] = mat_min[0][2] + temp_el->getY();
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258 | mat_min[0][3] = mat_min[0][3] + tan(temp_el->getTY());
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259 | mat_min[0][4] = min_pos + init_pos[4];
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260 | // getting vector at max_pos (for second boundary) :
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261 | temp_el->setLength(max_pos);
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262 | mat_max[0][0] = mat_init[0][0] - temp_el->getX();
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263 | mat_max[0][1] = mat_init[0][1] - tan(temp_el->getTX());
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264 | mat_max[0][2] = mat_init[0][2] - temp_el->getY();
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265 | mat_max[0][3] = mat_init[0][3] - tan(temp_el->getTY());
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266 | mat_max *= temp_el->getMatrix(energy_loss,mp,qp);
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267 | mat_max[0][0] = mat_max[0][0] + temp_el->getX();
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268 | mat_max[0][1] = mat_max[0][1] + tan(temp_el->getTX());
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269 | mat_max[0][2] = mat_max[0][2] + temp_el->getY();
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270 | mat_max[0][3] = mat_max[0][3] + tan(temp_el->getTY());
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271 | mat_max[0][4] = max_pos + init_pos[4];
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272 | }
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273 | // getting vector in the middle (for estimate) :
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274 | temp_el->setLength((max_pos+min_pos)/2.);
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275 | mat_stop[0][0] = mat_init[0][0] - temp_el->getX();
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276 | mat_stop[0][1] = mat_init[0][1] - tan(temp_el->getTX());
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277 | mat_stop[0][2] = mat_init[0][2] - temp_el->getY();
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278 | mat_stop[0][3] = mat_init[0][3] - tan(temp_el->getTY());
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279 | mat_stop *= temp_el->getMatrix(energy_loss,mp,qp);
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280 | mat_stop[0][0] = mat_stop[0][0] + temp_el->getX();
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281 | mat_stop[0][1] = mat_stop[0][1] + tan(temp_el->getTX());
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282 | mat_stop[0][2] = mat_stop[0][2] + temp_el->getY();
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283 | mat_stop[0][3] = mat_stop[0][3] + tan(temp_el->getTY());
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284 | mat_stop[0][4] = (max_pos+min_pos)/2. + init_pos[4];
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285 |
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286 | double xys[LENGTH_VEC];
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287 | xys[INDEX_X]= mat_stop[0][0]*URAD;
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288 | xys[INDEX_TX]= atan(mat_stop[0][1])*URAD;
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289 | xys[INDEX_Y]= mat_stop[0][2]*URAD;
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290 | xys[INDEX_TY]= atan(mat_stop[0][3])*URAD;
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291 | xys[INDEX_S]= mat_stop[0][4] ;
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292 | TVectorD temp_vec(LENGTH_VEC,xys);
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293 |
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294 | if(precision_estimate) {
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295 | cout<<"--- Results and precision estimates ---"<<endl;
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296 | cout<<"\t Stopping element : "<<getName()<<endl;
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297 | cout<<"\t hit point s : "<<mat_stop[0][4]<<" m +- "<<(mat_max[0][4]-mat_stop[0][4])*1000.<<" mm"<<endl;
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298 | cout<<"\t hit point x : "<<mat_stop[0][0]*URAD;
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299 | cout<<" + "<<fabs(((mat_min[0][0]<mat_max[0][0])?(mat_max[0][0]-mat_stop[0][0])*URAD:(mat_min[0][0]-mat_stop[0][0])*URAD));
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300 | cout<<" - "<<fabs(((mat_min[0][0]<mat_max[0][0])?(mat_stop[0][0]-mat_min[0][0])*URAD:(mat_stop[0][0]-mat_max[0][0])*URAD))<<" µm"<<endl;
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301 | cout<<"\t hit point y : "<<mat_stop[0][2]*URAD;
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302 | cout<<" + "<<fabs(((mat_min[0][0]<mat_max[0][2])?(mat_max[0][2]-mat_stop[0][2])*URAD:(mat_min[0][2]-mat_stop[0][2])*URAD));
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303 | cout<<" - "<<fabs(((mat_min[0][0]<mat_max[0][2])?(mat_stop[0][2]-mat_min[0][2])*URAD:(mat_stop[0][2]-mat_max[0][2])*URAD))<<" µm"<<endl;
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304 | cout<<"\t hit point tx : "<<mat_stop[0][1]*URAD;
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305 | cout<<" + "<<fabs(((mat_min[0][0]<mat_max[0][1])?(mat_max[0][1]-mat_stop[0][1])*URAD:(mat_min[0][1]-mat_stop[0][1])*URAD));
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306 | cout<<" - "<<fabs(((mat_min[0][0]<mat_max[0][1])?(mat_stop[0][1]-mat_min[0][1])*URAD:(mat_stop[0][1]-mat_max[0][1])*URAD))<<" µrad"<<endl;
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307 | cout<<"\t hit point ty : "<<mat_stop[0][3]*URAD;
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308 | cout<<" + "<<fabs(((mat_min[0][0]<mat_max[0][3])?(mat_max[0][3]-mat_stop[0][3])*URAD:(mat_min[0][3]-mat_stop[0][3])*URAD));
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309 | cout<<" - "<<fabs(((mat_min[0][0]<mat_max[0][3])?(mat_stop[0][3]-mat_min[0][3])*URAD:(mat_stop[0][3]-mat_max[0][3])*URAD))<<" µrad"<<endl;
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310 |
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311 | }
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312 |
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313 | delete temp_el;
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314 | return temp_vec;
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315 | }
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