1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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7 | // * conditions of the Geant4 Software License, included in the file * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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16 | // * for the full disclaimer and the limitation of liability. * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // |
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27 | // $Id: G4RandGlobalTest.cc,v 1.6 2006/06/29 19:00:55 gunter Exp $ |
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28 | // GEANT4 tag $Name: geant4-09-04-beta-cand-01 $ |
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29 | // |
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30 | // |
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31 | // ---------------------------------------------------------------------- |
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32 | #include "Randomize.hh" |
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33 | #include "G4ios.hh" |
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34 | |
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35 | RandEngine theRandEngine; |
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36 | DRand48Engine theDRand48Engine; |
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37 | RanluxEngine theRanluxEngine(19780503,4); |
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38 | RanecuEngine theRanecuEngine; |
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39 | |
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40 | //======================== CHI-SQUARED TEST ============================ |
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41 | |
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42 | int box[10], chi[8], more=1; |
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43 | int prob[8] = { 1, 5, 25, 50, 75, 95, 99, 100 }; |
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44 | float perc[8] = { 2.09, 3.33, 5.90, 8.34, 11.39, 16.92, 21.67, 100.0 }; |
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45 | |
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46 | void even_test(int seq) |
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47 | { |
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48 | int i,j; |
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49 | char Pause; |
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50 | |
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51 | for (i=0; i<8; ++i) |
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52 | chi[i]=0; |
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53 | |
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54 | G4cout << "\t\t\t --- CHI-SQUARED TEST ---" << G4endl; |
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55 | int fac = int(seq/100); |
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56 | |
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57 | G4cout << G4endl; |
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58 | |
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59 | for (int k=0; k<seq; ++k) { |
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60 | for (i=0; i<10; ++i) |
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61 | box[i]=0; |
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62 | for (i=0; i<1000; ++i) { |
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63 | int h = int(100*G4UniformRand()); |
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64 | for (j=0; j<10; ++j) |
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65 | if ((10*j <= h) && (h < 10*(j+1))) ++box[j]; |
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66 | } |
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67 | float X=0; |
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68 | for (i=0; i<10; ++i) { |
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69 | float t=float(box[i]-100); |
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70 | X += t*t; |
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71 | } |
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72 | X /= 100; |
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73 | if (k == (seq%100)) { |
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74 | G4cout << "\tDistribution of a single run (rand_valuex100) ..." |
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75 | << G4endl << G4endl; |
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76 | G4cout << "\t\t 1 10 20 30 40 50 60 70 80 90 100" << G4endl; |
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77 | G4cout << "\t\t"; |
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78 | for (j=0; j<10; ++j) |
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79 | G4cout << box[j] << " "; |
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80 | G4cout << G4endl; |
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81 | G4cout << "\t\t\t Chi-squared = " << X << G4endl << G4endl; |
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82 | } |
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83 | for (i=0; i<8; ++i) |
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84 | if (X <= perc[i]) ++chi[i]; |
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85 | } |
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86 | G4cout << "\tDistribution of Chi-squared for " << seq << " sequences ..." |
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87 | << G4endl << G4endl; |
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88 | G4cout << "\t\t\t %" << "\tChi-sq " << "\tExpected" << G4endl; |
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89 | for (j=0; j<8; ++j) |
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90 | G4cout << "\t\t\tX <= " << perc[j] << ":\t" << chi[j]/fac |
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91 | << "\t" << prob[j] << G4endl; |
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92 | G4cout << G4endl; |
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93 | G4cout << G4endl; |
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94 | G4cout << " ----- Press <ENTER> to continue -----"; |
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95 | if ( (Pause = G4cin.get()) != '\n') exit(0); |
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96 | if (more == 1) |
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97 | if ( (Pause = G4cin.get()) != '\n') exit(0); |
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98 | G4cout << G4endl; |
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99 | } // end even_test() |
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100 | |
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101 | //====================== SERIAL CORRELATION TEST ======================= |
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102 | |
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103 | void corr_test(int seq) |
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104 | { |
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105 | int i,j; |
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106 | char Pause; |
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107 | double U; |
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108 | double UU; |
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109 | double UV; |
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110 | double corr = 0.; |
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111 | double stde = 0.; |
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112 | double mv = -1./999; |
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113 | double std = (-mv)*std::sqrt(double(1000*(997)/(1001))); |
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114 | double next, uni, w, mve, temp[10000]; |
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115 | |
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116 | G4cout << "\t\t\t--- SERIAL CORRELATION TEST ---" << G4endl << G4endl; |
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117 | |
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118 | for (j=0; j<seq; ++j) { |
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119 | U = 0.; UU = 0.; UV = 0.; |
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120 | uni = G4UniformRand(); |
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121 | w = uni; |
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122 | for (i=1; i<1000; ++i) { |
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123 | next = G4UniformRand(); |
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124 | U += next; |
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125 | UU += next*next; |
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126 | UV += uni*next; |
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127 | uni = next; |
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128 | } |
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129 | U += w; |
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130 | UU += w*w; |
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131 | UV += uni*w; |
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132 | temp[j] = (1000*UV-U*U)/(1000*UU-U*U); |
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133 | corr += temp[j]; |
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134 | } |
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135 | |
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136 | mve = corr/seq; |
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137 | for (j=0; j<seq; ++j) { |
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138 | temp[j] -= mve; |
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139 | stde += temp[j]*temp[j]; |
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140 | } |
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141 | stde = std::sqrt((1./(seq-1))*stde); |
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142 | |
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143 | G4cout << "Mean value predicted : " << mv << "\t" |
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144 | << "Standard deviation predicted: " << std << G4endl |
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145 | << "Mean value effective : " << mve << "\t" |
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146 | << "Standard deviation effective: " << stde << G4endl << G4endl; |
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147 | G4cout << " ----- Press <ENTER> to continue -----"; |
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148 | if ( (Pause = G4cin.get()) != '\n') exit(0); |
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149 | G4cout << G4endl; |
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150 | |
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151 | } // end corr_test |
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152 | |
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153 | //=========================== SPATIAL TEST ============================= |
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154 | |
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155 | #define PI 3.1415926 |
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156 | |
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157 | static unsigned long twotoj[16] = { 0x1L,0x2L,0x4L,0x8L,0x10L,0x20L,0x40L, |
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158 | 0x80L,0x100L,0x200L,0x400L,0x800L, |
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159 | 0x1000L,0x2000L,0x4000L,0x8000L }; |
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160 | |
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161 | float fnc(float x1, float x2, float x3, float x4) |
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162 | { |
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163 | return (float) std::sqrt(x1*x1+x2*x2+x3*x3+x4*x4); |
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164 | } |
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165 | |
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166 | void spat_test () |
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167 | { |
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168 | char Pause; |
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169 | long iy[4],jpower,k; |
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170 | int i,j; |
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171 | float x1,x2,x3,x4,yprob[4]; |
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172 | |
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173 | G4cout << "\t\t\t --- SPATIAL TEST ---" << G4endl |
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174 | << "\tCalculates PI statistically using volume of unit n-sphere " |
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175 | << "n = 2,3,4" |
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176 | << G4endl << G4endl; |
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177 | for (i=1; i<=3; i++) iy[i]=0; |
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178 | G4cout << "\t\t\t# pts\tPI\t(4/3)PI\t(1/2)PI^2" << G4endl << G4endl; |
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179 | for (j=1; j<=15; j++) { |
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180 | for (k=twotoj[j-1]; k>=0; k--) { |
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181 | x1 = (float) G4UniformRand(); |
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182 | x2 = (float) G4UniformRand(); |
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183 | x3 = (float) G4UniformRand(); |
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184 | x4 = (float) G4UniformRand(); |
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185 | if (fnc(x1,x2,0.,0.) < 1.) ++iy[1]; |
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186 | if (fnc(x1,x2,x3,0.) < 1.) ++iy[2]; |
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187 | if (fnc(x1,x2,x3,x4) < 1.) ++iy[3]; |
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188 | } |
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189 | jpower = twotoj[j]; |
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190 | for (i=1; i<=3; i++) |
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191 | yprob[i] = (float) twotoj[i+1]*iy[i]/jpower; |
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192 | if ((jpower <= 32768) && (jpower != 0)) |
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193 | G4cout << "\t\t\t" << jpower << "\t" << yprob[1] << "\t" |
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194 | << yprob[2] << "\t" << yprob[3] << G4endl; |
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195 | } |
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196 | G4cout << G4endl; |
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197 | G4cout << "\t\t\tactual" << "\t" << PI << "\t" |
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198 | << 4.*PI/3. << "\t" << .5*PI*PI << G4endl << G4endl; |
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199 | |
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200 | if (more != 99) { |
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201 | G4cout << " ----- Press <ENTER> to continue -----"; |
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202 | if ( (Pause = G4cin.get()) != '\n') exit(0); |
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203 | G4cout << G4endl; |
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204 | } |
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205 | } // end spat_test() |
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206 | |
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207 | //============================= GLOBAL ================================= |
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208 | |
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209 | void init() |
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210 | { |
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211 | G4cout << G4endl << G4endl; |
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212 | G4cout << "-------------------------- Random distribution test ---------------------------" << G4endl; |
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213 | G4cout << " ------------------------ " << G4endl; |
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214 | G4cout << " >>> Random Engines available <<< " << G4endl << G4endl; |
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215 | G4cout << " > HepJamesRandom (default)" << G4endl; |
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216 | G4cout << " > Rand" << G4endl; |
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217 | G4cout << " > DRand48" << G4endl; |
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218 | G4cout << " > Ranlux" << G4endl; |
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219 | G4cout << " > Ranecu" << G4endl << G4endl; |
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220 | G4cout << " >>> Tests performed <<< " << G4endl << G4endl; |
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221 | G4cout << " > Even distribution test" << G4endl; |
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222 | G4cout << " > Serial correlation test" << G4endl; |
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223 | G4cout << " > Spatial test" << G4endl; |
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224 | G4cout << G4endl << G4endl; |
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225 | |
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226 | } // end init() |
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227 | |
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228 | |
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229 | void layout(int seq) |
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230 | { |
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231 | even_test(seq); |
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232 | corr_test(seq); |
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233 | spat_test(); |
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234 | } // end layout() |
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235 | |
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236 | |
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237 | void start_test() |
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238 | { |
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239 | char sel; |
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240 | int seq; |
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241 | |
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242 | G4cout << " Select the number of random values sequences:" << G4endl; |
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243 | G4cout << "\t a - 100 sequences of 1000 random values" << G4endl; |
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244 | G4cout << "\t b - 1000 sequences of 1000 random values" << G4endl; |
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245 | G4cout << "\t c - 10000 sequences of 1000 random values" << G4endl; |
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246 | G4cout << " > "; |
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247 | G4cin >> sel; |
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248 | if ((sel!='a')&&(sel!='b')&&(sel!='c')) |
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249 | exit(0); |
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250 | switch (sel) { |
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251 | case 'a': |
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252 | seq = 100; |
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253 | break; |
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254 | case 'b': |
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255 | seq = 1000; |
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256 | break; |
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257 | case 'c': |
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258 | seq = 10000; |
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259 | break; |
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260 | default: |
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261 | seq = 100; |
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262 | break; |
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263 | } |
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264 | |
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265 | G4cout << G4endl << G4endl; |
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266 | G4cout << "------------------------- Test on HepJamesRandom ----------------------------" << G4endl; |
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267 | G4cout << G4endl; |
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268 | layout(seq); |
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269 | G4cout << G4endl << G4endl; |
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270 | more = 0; |
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271 | G4cout << "--------------------------- Test on RandEngine ------------------------------" << G4endl; |
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272 | G4cout << G4endl; |
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273 | HepRandom::setTheEngine(&theRandEngine); |
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274 | layout(seq); |
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275 | G4cout << G4endl << G4endl; |
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276 | G4cout << "------------------------- Test on DRand48Engine -----------------------------" << G4endl; |
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277 | G4cout << G4endl; |
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278 | HepRandom::setTheEngine(&theDRand48Engine); |
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279 | layout(seq); |
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280 | G4cout << G4endl << G4endl; |
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281 | G4cout << "--------------------- Test on RanluxEngine (luxury 4) ------------------------" << G4endl; |
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282 | G4cout << G4endl; |
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283 | HepRandom::setTheEngine(&theRanluxEngine); |
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284 | layout(seq); |
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285 | G4cout << G4endl << G4endl; |
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286 | more = 99; |
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287 | G4cout << "-------------------------- Test on RanecuEngine ------------------------------" << G4endl; |
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288 | G4cout << G4endl; |
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289 | HepRandom::setTheEngine(&theRanecuEngine); |
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290 | layout(seq); |
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291 | } // end start_test() |
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292 | |
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293 | |
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294 | int main() { |
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295 | |
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296 | init(); |
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297 | start_test(); |
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298 | |
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299 | return 0; |
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300 | } |
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301 | |
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