1 | // $Id: averager_test.cc 1291 2008-05-09 19:42:31Z jari $ |
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2 | |
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3 | /* |
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4 | Copyright (C) 2005 Peter Johansson |
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5 | Copyright (C) 2006 Jari Häkkinen, Peter Johansson, Markus Ringnér |
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6 | Copyright (C) 2007, 2008 Jari Häkkinen, Peter Johansson |
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7 | |
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8 | This file is part of the yat library, http://trac.thep.lu.se/yat |
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9 | |
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10 | The yat library is free software; you can redistribute it and/or |
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11 | modify it under the terms of the GNU General Public License as |
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12 | published by the Free Software Foundation; either version 2 of the |
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13 | License, or (at your option) any later version. |
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14 | |
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15 | The yat library is distributed in the hope that it will be useful, |
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16 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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18 | General Public License for more details. |
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19 | |
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20 | You should have received a copy of the GNU General Public License |
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21 | along with this program; if not, write to the Free Software |
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22 | Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA |
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23 | 02111-1307, USA. |
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24 | */ |
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25 | |
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26 | #include "Suite.h" |
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27 | |
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28 | #include "yat/statistics/Averager.h" |
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29 | #include "yat/statistics/AveragerPair.h" |
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30 | #include "yat/statistics/AveragerPairWeighted.h" |
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31 | #include "yat/statistics/AveragerWeighted.h" |
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32 | #include "yat/utility/Vector.h" |
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33 | |
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34 | #include <cmath> |
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35 | #include <fstream> |
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36 | #include <limits> |
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37 | #include <iostream> |
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38 | #include <set> |
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39 | |
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40 | using namespace theplu::yat; |
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41 | using namespace theplu::yat::statistics; |
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42 | |
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43 | using theplu::yat::test::Suite; |
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44 | |
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45 | //Forward declarations |
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46 | bool equal(const Averager&, const Averager&, unsigned int, Suite&); |
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47 | bool equal(const AveragerWeighted&, const AveragerWeighted&, unsigned int, |
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48 | Suite& suite); |
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49 | bool equal(const Averager&, const AveragerWeighted&, unsigned int, Suite& suite); |
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50 | bool equal(const AveragerPair&, const AveragerPair&, unsigned int, Suite& suite); |
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51 | bool equal(const AveragerPair&, const AveragerPairWeighted&, unsigned int, |
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52 | Suite& suite); |
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53 | bool equal(const AveragerPairWeighted&, const AveragerPairWeighted&, |
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54 | unsigned int, Suite& suite); |
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55 | |
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56 | |
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57 | int main(int argc, char* argv[]) |
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58 | { |
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59 | |
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60 | Suite suite(argc, argv); |
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61 | |
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62 | // Testing Averager |
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63 | suite.out() << "testing Averager" << std::endl; |
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64 | Averager a; |
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65 | a.add(1); |
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66 | a.add(3); |
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67 | a.add(5); |
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68 | if (a.n()!=3 || a.mean()!=3 || a.sum_xx()!=35){ |
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69 | suite.add(false); |
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70 | suite.err() << "error: add\n"; |
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71 | } |
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72 | Averager b(a); |
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73 | b.add(5,-1); |
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74 | if (b.n()!=2 || b.mean()!=2 || b.sum_xx()!=10){ |
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75 | suite.add(false); |
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76 | suite.err() << "error: add with negative n\n"; |
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77 | } |
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78 | b.add(5,-4); |
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79 | if (b.n()!=-2 || b.mean()!=8 || b.sum_xx()!=-90){ |
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80 | suite.add(false); |
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81 | suite.err() << "error: add with negatibe n\n"; |
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82 | } |
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83 | |
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84 | |
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85 | Averager* a1 = new Averager(1.0+3+5,1.0+9+25,3); |
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86 | unsigned int tol = 10; |
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87 | if (!equal(a,*a1, tol, suite)){ |
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88 | suite.add(false); |
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89 | suite.err().precision(25); |
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90 | suite.err() << a.sum_x() << '\t' << a1->sum_x() << std::endl; |
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91 | suite.err() << a.sum_xx() << '\t' << a1->sum_xx() << std::endl; |
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92 | suite.err() << a.n() << '\t' << a1->n() << std::endl; |
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93 | suite.err() << a.variance() << '\t' << a1->variance() << std::endl; |
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94 | suite.err() << a.mean() << '\t' << a1->mean() << std::endl; |
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95 | suite.err() << a.mean() - a1->mean() << std::endl; |
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96 | suite.err() << a.variance() - a1->variance() << std::endl; |
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97 | suite.err() << "error: Averager(double x, double xx, unsigned long n)\n"; |
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98 | } |
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99 | delete a1; |
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100 | |
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101 | a1 = new Averager(a); |
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102 | if (!equal(a,*a1, tol, suite)){ |
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103 | suite.add(false); |
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104 | suite.err() << "error: Copy constructor\n"; |
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105 | } |
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106 | delete a1; |
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107 | |
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108 | a.add(3,5); |
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109 | if (std::abs(a.standard_error()-sqrt(a.variance()/a.n()))> |
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110 | std::numeric_limits<double>().round_error() ){ |
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111 | suite.add(false); |
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112 | suite.err() << "error: standard_error\n"; |
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113 | } |
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114 | |
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115 | |
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116 | if ( std::abs(a.variance() - a.std()*a.std())> |
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117 | std::numeric_limits<double>().round_error() ){ |
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118 | suite.add(false); |
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119 | suite.err() << "error: std squared should be variance" << std::endl; |
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120 | suite.err() << "std2: " << a.std()*a.std() << std::endl; |
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121 | suite.err() << "variance: " << a.variance() << std::endl; |
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122 | suite.err() << "difference is: " << a.std()*a.std()-a.variance() << std::endl; |
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123 | } |
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124 | |
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125 | if ( a.variance() != a.variance(a.mean()) ){ |
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126 | suite.add(false); |
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127 | suite.err() << "error: variance incorrect\n" << std::endl; |
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128 | suite.err() << "variance: " << a.variance() << std::endl; |
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129 | suite.err() << "mean: " << a.mean() << std::endl; |
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130 | suite.err() << "variance(mean) " << a.variance(a.mean()) << std::endl; |
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131 | } |
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132 | theplu::yat::utility::Vector* tmp_vec = new theplu::yat::utility::Vector(10); |
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133 | add(a, tmp_vec->begin(), tmp_vec->end()); |
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134 | delete tmp_vec; |
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135 | std::set<double>* tmp_set = new std::set<double>; |
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136 | tmp_set->insert(1.0); |
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137 | tmp_set->insert(2.0); |
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138 | add(a, tmp_set->begin(), tmp_set->end()); |
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139 | delete tmp_set; |
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140 | |
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141 | |
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142 | // Testing AveragerWeighted |
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143 | suite.err() << "testing AveragerWeighted" << std::endl; |
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144 | theplu::yat::utility::Vector x(3,0); |
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145 | x(0)=0; |
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146 | x(1)=1; |
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147 | x(2)=2; |
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148 | theplu::yat::utility::Vector w(3,1); |
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149 | theplu::yat::statistics::AveragerWeighted aw; |
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150 | add(aw, x.begin(), x.end(), w.begin()); |
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151 | a.reset(); |
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152 | add(a, x.begin(), x.end()); |
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153 | if (!equal(a,aw,tol,suite)){ |
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154 | suite.err() << "error: AveragerWeighted with unitary weights should " |
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155 | << "be equal to Averager" << std::endl; |
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156 | suite.add(false); |
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157 | } |
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158 | |
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159 | AveragerWeighted* aw2 = new AveragerWeighted(aw); |
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160 | if (!equal(aw,*aw2,tol,suite)){ |
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161 | suite.err() << "error: AveragerWeighted copy constructor " << std::endl; |
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162 | suite.add(false); |
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163 | } |
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164 | |
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165 | aw2->add(12,0); |
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166 | if (!equal(aw,*aw2,tol,suite)){ |
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167 | suite.err() << "error: AveragerWeighted adding a data point with weight=0 " |
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168 | << "should make no change " << std::endl; |
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169 | suite.add(false); |
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170 | } |
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171 | |
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172 | aw2->reset(); |
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173 | w*=17; |
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174 | add(*aw2, x.begin(), x.end(), w.begin()); |
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175 | if (!equal(aw,*aw2,tol,suite)){ |
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176 | suite.err() << "error: AveragerWeighted rescaling weights " |
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177 | << "should make no change " << std::endl; |
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178 | suite.add(false); |
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179 | } |
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180 | delete aw2; |
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181 | { |
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182 | theplu::yat::utility::Vector tmp(10); |
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183 | add(aw, tmp.begin(), tmp.end()); |
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184 | } |
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185 | { |
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186 | std::set<double> tmp; |
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187 | tmp.insert(1.0); |
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188 | tmp.insert(2.0); |
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189 | add(aw, tmp.begin(), tmp.end()); |
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190 | } |
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191 | |
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192 | |
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193 | suite.out() << "testing AveragerPair" << std::endl; |
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194 | AveragerPair ap; |
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195 | for (int i=0; i<10; i++) |
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196 | ap.add(static_cast<double>(i),i); |
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197 | if (std::abs(ap.correlation()-1)>tol){ |
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198 | suite.add(false); |
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199 | suite.err() << "correlation: " << ap.correlation() << std::endl; |
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200 | suite.err() << "error: correlation between identical vectors should be unity" |
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201 | << std::endl; |
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202 | } |
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203 | if (ap.x_averager().variance()!=ap.covariance()){ |
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204 | suite.add(false); |
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205 | suite.err() << "error: covariance of identical vectors should equal to variance" |
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206 | << std::endl; |
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207 | } |
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208 | AveragerPair* ap2 = new AveragerPair(ap); |
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209 | delete ap2; |
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210 | |
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211 | for (int i=0; i<8; i++) |
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212 | ap.add(static_cast<double>(i),i,-1); |
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213 | if (std::abs(ap.correlation()-1)>tol) { |
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214 | suite.add(false); |
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215 | suite.err() << "correlation after removal of data: " << ap.correlation() |
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216 | << std::endl; |
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217 | suite.err() << "error: correlation between identical vectors is unity" |
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218 | << std::endl; |
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219 | } |
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220 | ap.add(static_cast<double>(1),1,-4); |
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221 | if (std::abs(ap.correlation()+1)>tol || ap.n()!=-2) { |
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222 | suite.add(false); |
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223 | suite.err() << "AveragerPair error: add with negatibe n\n"; |
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224 | } |
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225 | |
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226 | |
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227 | suite.out() << "testing AveragerPairWeighted" << std::endl; |
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228 | AveragerPairWeighted apw; |
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229 | x(0)=0; x(1)=1; x(2)=2; |
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230 | theplu::yat::utility::Vector y(3,0); |
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231 | y(0)=0; y(1)=0; y(2)=2; |
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232 | add(apw, x.begin(), x.end(), y.begin(), w.begin(), w.begin()); |
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233 | ap.reset(); |
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234 | add(ap, x.begin(), x.end(), y.begin()); |
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235 | if (!equal(ap,apw,tol,suite)){ |
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236 | suite.err() << "error: AveragerPairWeighted with unitary weights should " |
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237 | << "be equal to AveragerPair" << std::endl; |
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238 | suite.add(false); |
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239 | } |
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240 | |
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241 | AveragerPairWeighted* apw2 = new AveragerPairWeighted(apw); |
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242 | if (!equal(apw,*apw2,tol,suite)){ |
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243 | suite.err() << "error: AveragerPairWeighted copy constructor " << std::endl; |
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244 | suite.add(false); |
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245 | } |
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246 | |
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247 | apw2->add(12,23222.03,32.3,0); |
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248 | if (!equal(apw,*apw2,tol,suite)){ |
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249 | suite.err() << "error: AveragerWeighted adding a data point with weight=0 " |
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250 | << "should make no change " << std::endl; |
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251 | suite.add(false); |
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252 | } |
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253 | |
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254 | apw2->reset(); |
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255 | w*=17; |
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256 | add(*apw2, x.begin(), x.end(), y.begin(), w.begin(), w.begin()); |
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257 | if (!equal(apw,*apw2,tol,suite)){ |
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258 | suite.err() << "error: AveragerWeighted rescaling weights " |
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259 | << "should make no change " << std::endl; |
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260 | suite.add(false); |
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261 | } |
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262 | delete apw2; |
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263 | |
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264 | return suite.return_value(); |
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265 | } |
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266 | |
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267 | bool equal(const Averager& a, const Averager& b, unsigned int tol, |
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268 | Suite& suite) |
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269 | { |
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270 | // std::cout << (a.n()==b.n()) << std::endl; |
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271 | // std::cout << (a.mean()==b.mean()) << std::endl; |
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272 | // std::cout << (std::abs(a.variance()-b.variance()<1e-15)) << std::endl; |
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273 | return (a.n()==b.n() && suite.equal(a.mean(),b.mean(),tol) && |
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274 | suite.equal(a.variance(),b.variance(),tol)); |
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275 | } |
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276 | |
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277 | bool equal(const AveragerWeighted& a, const AveragerWeighted& b, |
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278 | const unsigned int tol, Suite& suite) |
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279 | { |
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280 | bool equal = true; |
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281 | if ( !suite.equal(a.mean(),b.mean(),tol)){ |
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282 | equal=false; |
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283 | suite.err() << "mean:\t" << a.mean() << "\t" << b.mean() << std::endl; |
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284 | suite.err() << "difference:\t" << a.mean()-b.mean() << std::endl; |
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285 | } |
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286 | if ( !suite.equal(a.variance(),b.variance(),tol) ) { |
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287 | equal=false; |
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288 | suite.err() << "error for variance:\t" << a.variance() << " " |
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289 | << b.variance() << std::endl; |
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290 | } |
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291 | if ( !suite.equal(a.standard_error(),b.standard_error(),tol) ) { |
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292 | equal =false; |
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293 | suite.err() << "error for standard error:\t" << std::endl; |
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294 | } |
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295 | return equal; |
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296 | } |
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297 | |
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298 | bool equal(const Averager& a, const AveragerWeighted& b, const unsigned int tol, |
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299 | Suite& suite) |
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300 | { |
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301 | bool equal = true; |
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302 | if ( !suite.equal(a.mean(),b.mean(),tol)){ |
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303 | equal=false; |
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304 | suite.err() << "mean:\t" << a.mean() << "\t" << b.mean() << std::endl; |
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305 | } |
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306 | if ( !suite.equal(a.variance(),b.variance(),tol) ) { |
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307 | equal=false; |
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308 | suite.err() << "error for variance:\t" << a.variance() << " " |
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309 | << b.variance() << std::endl; |
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310 | } |
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311 | if ( !suite.equal(a.standard_error(), b.standard_error(),tol) ) { |
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312 | equal =false; |
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313 | suite.err() << "error for standard error:\t" << std::endl; |
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314 | } |
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315 | return equal; |
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316 | } |
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317 | |
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318 | bool equal(const AveragerPair& a, const AveragerPair& b, |
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319 | const unsigned int tol, Suite& suite) |
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320 | { |
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321 | bool ok = true; |
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322 | if ( std::abs(a.covariance()-b.covariance())>tol){ |
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323 | suite.add(false); |
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324 | suite.err() << "error covariance: " << a.covariance() << "\t" |
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325 | << b.covariance() << std::endl; |
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326 | } |
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327 | if ( std::abs(a.correlation()-b.correlation())>tol ) { |
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328 | suite.add(false); |
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329 | suite.err() << "error correlation" << std::endl; |
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330 | } |
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331 | return ok; |
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332 | } |
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333 | |
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334 | bool equal(const AveragerPair& a, const AveragerPairWeighted& b, |
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335 | const unsigned int tol, Suite& suite) |
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336 | { |
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337 | bool ok = true; |
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338 | if ( std::abs(a.covariance()-b.covariance())>tol){ |
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339 | suite.add(false); |
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340 | suite.err() << "error covariance: " << a.covariance() << "\t" |
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341 | << b.covariance() << std::endl; |
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342 | } |
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343 | if ( std::abs(a.correlation()-b.correlation())>tol ) { |
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344 | suite.add(false); |
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345 | suite.err() << "error correlation" << std::endl; |
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346 | suite.err() << "unweighted:" << a.correlation() << std::endl; |
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347 | suite.err() << "weighted:" << b.correlation() << std::endl; |
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348 | suite.err() << "difference:" << a.correlation()-b.correlation() |
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349 | << std::endl; |
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350 | } |
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351 | if ( !equal(a.x_averager(),b.x_averager(),tol,suite)) { |
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352 | ok =false; |
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353 | suite.err() << "error for x_averager():\t" << std::endl; |
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354 | } |
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355 | return ok; |
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356 | } |
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357 | bool equal(const AveragerPairWeighted& a, const AveragerPairWeighted& b, |
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358 | const unsigned int tol, Suite& suite) |
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359 | { |
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360 | bool ok = true; |
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361 | if ( !suite.equal(a.covariance(),b.covariance(),tol) ){ |
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362 | suite.add(false); |
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363 | suite.err() << "error covariance: " << a.covariance() << "\t" |
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364 | << b.covariance() << std::endl; |
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365 | } |
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366 | if ( !suite.equal(a.correlation(), b.correlation(), tol) ) { |
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367 | suite.add(false); |
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368 | suite.err() << "error correlation" << std::endl; |
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369 | suite.err() << "a:" << a.correlation() << std::endl; |
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370 | suite.err() << "b:" << b.correlation() << std::endl; |
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371 | suite.err() << "difference:" << a.correlation()-b.correlation() |
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372 | << std::endl; |
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373 | suite.err() << "tol:" << tol << std::endl; |
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374 | } |
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375 | if ( !equal(a.x_averager(),b.x_averager(),tol,suite)) { |
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376 | ok =false; |
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377 | suite.err() << "error for x_averager():\t" << std::endl; |
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378 | } |
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379 | return ok; |
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380 | } |
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381 | |
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382 | |
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383 | |
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