1 | #ifndef _theplu_yat_utility_vector_ |
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2 | #define _theplu_yat_utility_vector_ |
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3 | |
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4 | // $Id: vector.h 810 2007-03-15 23:31:22Z jari $ |
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5 | |
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6 | /* |
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7 | Copyright (C) 2003 Daniel Dalevi, Peter Johansson |
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8 | Copyright (C) 2004 Jari HÃ¤kkinen, Peter Johansson |
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9 | Copyright (C) 2005 Jari HÃ¤kkinen, Peter Johansson, Markus Ringnér |
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10 | Copyright (C) 2006 Jari HÃ¤kkinen |
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11 | Copyright (C) 2007 Jari HÃ¤kkinen, Peter Johansson |
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12 | |
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13 | This file is part of the yat library, http://lev.thep.lu.se/trac/yat |
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14 | |
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15 | The yat library is free software; you can redistribute it and/or |
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16 | modify it under the terms of the GNU General Public License as |
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17 | published by the Free Software Foundation; either version 2 of the |
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18 | License, or (at your option) any later version. |
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19 | |
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20 | The yat library is distributed in the hope that it will be useful, |
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21 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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22 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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23 | General Public License for more details. |
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24 | |
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25 | You should have received a copy of the GNU General Public License |
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26 | along with this program; if not, write to the Free Software |
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27 | Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA |
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28 | 02111-1307, USA. |
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29 | */ |
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30 | |
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31 | #include "Exception.h" |
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32 | |
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33 | #include <iostream> |
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34 | #include <vector> |
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35 | #include <utility> |
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36 | |
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37 | #include <gsl/gsl_vector.h> |
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38 | #include <gsl/gsl_sort_vector.h> |
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39 | |
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40 | namespace theplu { |
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41 | namespace yat { |
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42 | namespace utility { |
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43 | |
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44 | class matrix; |
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45 | |
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46 | /** |
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47 | @brief This is the yat interface to GSL vector. |
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48 | |
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49 | For time being 'double' is the only type supported. |
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50 | |
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51 | \par File streams: |
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52 | Reading and writing vectors to file streams are of course |
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53 | supported. These are implemented without using GSL functionality, |
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54 | and thus binary read and write to streams are not supported. |
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55 | |
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56 | \par Vector views: |
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57 | GSL vector views are supported and these are disguised as |
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58 | ordinary utility::vectors. A support function is added, |
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59 | utility::vector::isview(), that can be used to check if a vector |
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60 | object is a view. Note that view vectors do not own the |
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61 | underlying data, and a view is not valid if the vector/matrix |
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62 | owing the data is deallocated. |
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63 | |
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64 | \par |
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65 | Currently there is no restriction on how a vector is used when |
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66 | the vector is a const view into another vector or matrix. To |
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67 | avoid unexpected runtime errors, the programmer must declare |
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68 | const view vectors as 'const' in order to get compile time |
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69 | diagnostics about improper use of a const view vector object. If |
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70 | 'const' is not used and the const view vector is used erroneously |
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71 | (such as on the left hand side in assignments), the compiler will |
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72 | not catch the error and runtime error will occur. assert(3) is |
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73 | used to catch the runtime error during development. Example on |
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74 | bad and proper use of const view vectors: |
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75 | @code |
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76 | const vector vm(13,1.0); |
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77 | vector v1(vm,2,4); // bad code! not const! |
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78 | v1(0)=-123; // accepted by compiler, runtime abort will occur |
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79 | // or catched by assert depending on compiler flags |
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80 | const vector v2(vm,2,4); // proper code |
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81 | v2(0)=-123; // not acceptable for the compiler |
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82 | @endcode |
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83 | */ |
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84 | |
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85 | class vector |
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86 | { |
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87 | public: |
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88 | |
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89 | /** |
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90 | \brief The default constructor. |
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91 | */ |
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92 | vector(void); |
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93 | |
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94 | /** |
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95 | \brief Allocates memory space for \a n elements, and sets all |
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96 | elements to \a init_value. |
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97 | |
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98 | \throw GSL_error if memory allocation fails. |
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99 | */ |
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100 | vector(size_t n, double init_value=0); |
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101 | |
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102 | /** |
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103 | \brief The copy constructor. |
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104 | |
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105 | \note If the object to be copied is a vector view, the values |
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106 | of the view will be copied, i.e. the view is not copied. |
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107 | |
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108 | \throw A GSL_error is indirectly thrown if memory allocation |
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109 | fails. |
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110 | */ |
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111 | vector(const vector& other); |
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112 | |
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113 | /** |
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114 | \brief Vector view constructor. |
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115 | |
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116 | Create a view of vector \a v, with starting index \a offset, |
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117 | size \a n, and an optional \a stride. |
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118 | |
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119 | A vector view can be used as any vector with the difference |
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120 | that changes made to the view will also change the object that |
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121 | is viewed. Also, using the copy constructor will create a new |
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122 | vector object that is a copy of whatever is viewed. If a copy |
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123 | of the view is needed then you should use this constructor to |
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124 | obtain a copy. |
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125 | |
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126 | \note If the object viewed by the view goes out of scope or is |
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127 | deleted, the view becomes invalid and the result of further use |
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128 | is undefined. |
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129 | |
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130 | \throw GSL_error if a view cannot be set up. |
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131 | */ |
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132 | vector(vector& v, size_t offset, size_t n, size_t stride=1); |
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133 | |
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134 | /** |
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135 | \brief Vector const view constructor. |
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136 | |
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137 | Create a view of vector \a v, with starting index \a offset, |
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138 | size \a n, and an optional \a stride. |
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139 | |
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140 | A vector view can be used as any const vector. Using the copy |
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141 | constructor will create a new vector object that is a copy of |
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142 | whatever is viewed. If a copy of the view is needed then you |
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143 | should use this constructor to obtain a copy. |
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144 | |
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145 | \note If the object viewed by the view goes out of scope or is |
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146 | deleted, the view becomes invalid and the result of further use |
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147 | is undefined. |
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148 | |
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149 | \throw GSL_error if a view cannot be set up. |
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150 | */ |
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151 | vector(const vector& v, size_t offset, size_t n, size_t stride=1); |
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152 | |
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153 | /// |
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154 | /// Matrix row/column view constructor. |
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155 | /// |
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156 | /// Create a row/column vector view of matrix \a m, pointing at |
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157 | /// row/column \a i. The parameter \a row is used to set whether |
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158 | /// the view should be a row or column view. If \a row is set to |
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159 | /// true, the view will be a row view (default behaviour), and, |
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160 | /// naturally, a column view otherwise. |
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161 | /// |
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162 | /// A vector view can be used as any vector with the difference |
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163 | /// that changes made to the view will also change the object that |
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164 | /// is viewed. Also, using the copy constructor will create a new |
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165 | /// vector object that is a copy of whatever is viewed. If a copy |
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166 | /// of the view is needed then you should use the vector view |
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167 | /// constructor to obtain a copy. |
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168 | /// |
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169 | /// @note If the object viewed by the view goes out of scope or is |
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170 | /// deleted, the view becomes invalid and the result of further |
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171 | /// use is undefined. |
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172 | /// |
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173 | vector(matrix& m, size_t i, bool row=true); |
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174 | |
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175 | /// |
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176 | /// Matrix row/column const view constructor. |
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177 | /// |
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178 | /// Create a row/column vector view of matrix \a m, pointing at |
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179 | /// row/column \a i. The parameter \a row is used to set whether |
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180 | /// the view should be a row or column view. If \a row is set to |
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181 | /// true, the view will be a row view (default behaviour), and, |
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182 | /// naturally, a column view otherwise. |
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183 | /// |
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184 | /// A const vector view can be used as any const vector. Using the |
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185 | /// copy constructor will create a new vector object that is a |
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186 | /// copy of whatever is viewed. If a copy of the view is needed |
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187 | /// then you should use the vector view constructor to obtain a |
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188 | /// copy. |
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189 | /// |
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190 | /// @note If the object viewed by the view goes out of scope or is |
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191 | /// deleted, the view becomes invalid and the result of further |
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192 | /// use is undefined. |
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193 | /// |
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194 | vector(const matrix& m, size_t i, bool row=true); |
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195 | |
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196 | /** |
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197 | \brief The istream constructor. |
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198 | |
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199 | Either elements should be separated with white space characters |
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200 | (default), or elements should be separated by the delimiter \a |
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201 | sep. When delimiter \a sep is used empty elements are stored as |
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202 | NaN's (except that empty lines are ignored). The end of input |
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203 | to the vector is at end of file marker. |
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204 | |
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205 | \throw GSL_error if memory allocation fails, IO_error if |
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206 | unexpected input is found in the input stream. |
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207 | */ |
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208 | explicit vector(std::istream &, char sep='\0') |
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209 | throw(utility::IO_error, std::exception); |
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210 | |
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211 | /// |
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212 | /// The destructor. |
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213 | /// |
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214 | ~vector(void); |
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215 | |
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216 | /** |
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217 | \brief Make a copy of \a other. |
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218 | |
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219 | This function will make a deep copy of \a other. Memory is |
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220 | resized and view state is changed if needed. |
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221 | */ |
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222 | const vector& clone(const vector& other); |
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223 | |
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224 | /** |
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225 | \brief This function performs element-wise division, \f$ this_i = |
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226 | this_i/other_i \; \forall i \f$. |
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227 | |
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228 | \throw GSL_error if dimensions mis-match. |
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229 | */ |
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230 | void div(const vector& other); |
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231 | |
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232 | /** |
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233 | \brief Check whether vectors are equal within a user defined |
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234 | precision, set by \a precision. |
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235 | |
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236 | \return True if each element deviates less or equal than \a |
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237 | d. If any vector contain a NaN, false is always returned. |
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238 | |
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239 | \see operator== and operator!= |
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240 | */ |
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241 | bool equal(const vector&, const double precision=0) const; |
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242 | |
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243 | /// |
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244 | /// @return A const pointer to the internal GSL vector, |
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245 | /// |
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246 | const gsl_vector* gsl_vector_p(void) const; |
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247 | |
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248 | /// |
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249 | /// @return A pointer to the internal GSL vector, |
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250 | /// |
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251 | gsl_vector* gsl_vector_p(void); |
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252 | |
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253 | /// |
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254 | /// Check if the vector object is a view (sub-vector) to another |
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255 | /// vector. |
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256 | /// |
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257 | /// @return True if the object is a view, false othwerwise. |
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258 | /// |
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259 | bool isview(void) const; |
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260 | |
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261 | /** |
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262 | \brief This function performs element-wise multiplication, \f$ |
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263 | this_i = this_i * other_i \; \forall i \f$. |
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264 | |
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265 | \throw GSL_error if dimensions mis-match. |
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266 | */ |
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267 | void mul(const vector& other); |
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268 | |
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269 | /// |
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270 | /// @brief Resize vector |
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271 | /// |
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272 | /// All elements are set to @a init_value. |
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273 | /// |
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274 | void resize(size_t, double init_value=0); |
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275 | |
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276 | /** |
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277 | \brief Reverse the order of elements in the vector. |
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278 | */ |
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279 | void reverse(void); |
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280 | |
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281 | /** |
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282 | \brief Set element values to values in \a vec. |
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283 | |
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284 | This function is needed for assignment of viewed elements. |
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285 | |
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286 | \see const vector& operator=(const vector&) |
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287 | |
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288 | \throw GSL_error if dimensions mis-match. |
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289 | */ |
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290 | void set(const vector& vec); |
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291 | |
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292 | /// |
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293 | /// Set all elements to \a value. |
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294 | /// |
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295 | void set_all(const double& value); |
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296 | |
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297 | /// |
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298 | /// @return the number of elements in the vector. |
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299 | /// |
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300 | size_t size(void) const; |
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301 | |
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302 | /** |
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303 | \brief Exchange elements \a i and \a j. |
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304 | |
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305 | \throw GSL_error if vector lengths differs. |
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306 | */ |
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307 | void swap(size_t i, size_t j); |
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308 | |
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309 | /** |
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310 | \brief Element access operator. |
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311 | |
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312 | \return Reference to element \a i. |
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313 | |
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314 | \throw If GSL range checks are enabled in the underlying GSL |
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315 | library a GSL_error exception is thrown if either index is out |
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316 | of range. |
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317 | */ |
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318 | double& operator()(size_t i); |
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319 | |
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320 | /** |
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321 | \brief Element access operator. |
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322 | |
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323 | \return Const reference to element \a i. |
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324 | |
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325 | \throw If GSL range checks are enabled in the underlying GSL |
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326 | library a GSL_error exception is thrown if either index is out |
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327 | of range. |
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328 | */ |
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329 | const double& operator()(size_t i) const; |
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330 | |
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331 | /// |
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332 | /// Element access operator. |
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333 | /// |
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334 | /// @return Reference to element \a i. |
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335 | /// |
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336 | double& operator[](size_t i); |
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337 | |
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338 | /// |
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339 | /// Const element access operator. |
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340 | /// |
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341 | /// @return The value of element \a i. |
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342 | /// |
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343 | const double& operator[](size_t i) const; |
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344 | |
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345 | /** |
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346 | \brief Comparison operator. Takes linear time. |
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347 | |
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348 | Checks are performed with exact matching, i.e., rounding off |
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349 | effects may destroy comparison. Use the equal function for |
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350 | comparing elements within a user defined precision. |
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351 | |
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352 | \return True if all elements are equal otherwise false. |
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353 | |
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354 | \see equal(const vector&, const double precision=0) |
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355 | */ |
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356 | bool operator==(const vector&) const; |
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357 | |
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358 | /** |
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359 | \brief Comparison operator. Takes linear time. |
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360 | |
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361 | Checks are performed with exact matching, i.e., rounding off |
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362 | effects may destroy comparison. Use the equal function for |
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363 | comparing elements within a user defined precision. |
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364 | |
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365 | \return False if all elements are equal otherwise true. |
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366 | |
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367 | \see equal(const vector&, const double precision=0) |
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368 | */ |
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369 | bool operator!=(const vector&) const; |
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370 | |
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371 | /// |
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372 | /// @return The dot product. |
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373 | /// |
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374 | double operator*(const vector&) const; |
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375 | |
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376 | /** |
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377 | \brief The assignment operator. |
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378 | |
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379 | Dimensions of the vectors must match. If the LHS vector is a |
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380 | view, the underlying data will be changed. |
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381 | |
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382 | \return A const reference to the resulting vector. |
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383 | |
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384 | \see void set(const vector&). |
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385 | |
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386 | \throw GSL_error if dimensions mis-match. |
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387 | */ |
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388 | const vector& operator=(const vector&); |
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389 | |
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390 | /** |
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391 | \brief Addition and assign operator. Vector addition, \f$ |
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392 | this_i = this_i + other_i \; \forall i \f$. |
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393 | |
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394 | \return A const reference to the resulting vector. |
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395 | |
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396 | \throw GSL_error if dimensions mis-match. |
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397 | */ |
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398 | const vector& operator+=(const vector&); |
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399 | |
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400 | /** |
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401 | \brief Add a constant to a vector, \f$ this_i = this_i + d \; |
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402 | \forall i \f$. |
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403 | |
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404 | \return A const reference to the resulting vector. |
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405 | */ |
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406 | const vector& operator+=(double d); |
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407 | |
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408 | /** |
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409 | \brief Subtract and assign operator. Vector subtraction, \f$ |
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410 | this_i = this_i - other_i \; \forall i \f$. |
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411 | |
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412 | \return A const reference to the resulting vector. |
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413 | |
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414 | \throw GSL_error if dimensions mis-match. |
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415 | */ |
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416 | const vector& operator-=(const vector&); |
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417 | |
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418 | /** |
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419 | \brief Subtract a constant to a vector, \f$ this_i = this_i - d |
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420 | \; \forall i \f$. |
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421 | |
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422 | \return A const reference to the resulting vector. |
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423 | */ |
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424 | const vector& operator-=(double d); |
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425 | |
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426 | /** |
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427 | \brief Multiply with scalar and assign operator, \f$ this_i = |
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428 | this_i * d \; \forall i \f$. |
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429 | |
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430 | \return A const reference to the resulting vector. |
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431 | */ |
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432 | const vector& operator*=(double d); |
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433 | |
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434 | |
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435 | private: |
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436 | |
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437 | /** |
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438 | \brief Create a new copy of the internal GSL vector. |
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439 | |
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440 | Necessary memory for the new GSL vector is allocated and the |
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441 | caller is responsible for freeing the allocated memory. |
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442 | |
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443 | \return A pointer to a copy of the internal GSL vector. |
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444 | |
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445 | \throw GSL_error if memory cannot be allocated for the new |
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446 | copy, or if dimensions mis-match. |
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447 | */ |
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448 | gsl_vector* create_gsl_vector_copy(void) const; |
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449 | |
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450 | /** |
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451 | \brief Clear all dynamically allocated memory. |
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452 | |
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453 | Internal utility function. |
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454 | */ |
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455 | void delete_allocated_memory(void); |
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456 | |
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457 | gsl_vector* v_; |
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458 | gsl_vector_view* view_; |
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459 | const gsl_vector_const_view* view_const_; |
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460 | // proxy_v_ is used to access the proper underlying gsl_vector |
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461 | // in all const member functions. It is not used by design for |
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462 | // non-const vector functions and operators. This is to make sure |
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463 | // that runtime errors occur if a const vector is used in an |
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464 | // inappropriate manner such as on left hand side in assignment |
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465 | // (remember, v_ is null for const vector views). |
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466 | const gsl_vector* proxy_v_; |
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467 | }; |
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468 | |
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469 | /** |
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470 | \brief Check if all elements of the vector are zero. |
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471 | |
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472 | \return True if all elements in the vector is zero, false |
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473 | othwerwise. |
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474 | */ |
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475 | bool isnull(const vector&); |
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476 | |
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477 | /** |
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478 | \brief Get the maximum value of the vector. |
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479 | |
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480 | \return The maximum value of the vector. |
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481 | */ |
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482 | double max(const vector&); |
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483 | |
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484 | /** |
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485 | \brief Locate the maximum value in the vector. |
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486 | |
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487 | \return The index to the maximum value of the vector. |
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488 | |
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489 | \note Lower index has precedence. |
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490 | */ |
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491 | size_t max_index(const vector&); |
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492 | |
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493 | /** |
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494 | \brief Get the minimum value of the vector. |
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495 | |
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496 | \return The minimum value of the vector. |
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497 | */ |
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498 | double min(const vector&); |
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499 | |
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500 | /** |
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501 | \brief Locate the minimum value in the vector. |
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502 | |
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503 | \return The index to the minimum value of the vector. |
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504 | |
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505 | \note Lower index has precedence. |
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506 | */ |
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507 | size_t min_index(const vector&); |
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508 | |
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509 | /** |
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510 | \brief Get the minimum and maximim values of the vector. |
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511 | |
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512 | \return The minimum and maximum values of the vector, |
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513 | respectively. |
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514 | */ |
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515 | std::pair<double,double> minmax(const vector&); |
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516 | |
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517 | /** |
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518 | \brief Locate the maximum and minumum element in the vector. |
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519 | |
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520 | \return The indecies to the element with the minimum and maximum |
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521 | values of the vector, respectively. |
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522 | |
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523 | \note Lower index has precedence. |
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524 | */ |
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525 | std::pair<size_t,size_t> minmax_index(const vector&); |
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526 | |
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527 | /** |
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528 | \brief Create a vector \a flag indicating NaN's in another vector |
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529 | \a templat. |
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530 | |
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531 | The \a flag vector is changed to contain 1's and 0's only. A 1 |
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532 | means that the corresponding element in the \a templat vector is |
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533 | valid and a zero means that the corresponding element is a NaN. |
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534 | |
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535 | \note Space for vector \a flag is reallocated to fit the size of |
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536 | vector \a templat if sizes mismatch. |
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537 | |
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538 | \return True if the \a templat vector contains at least one NaN. |
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539 | */ |
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540 | bool nan(const matrix& templat, matrix& flag); |
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541 | |
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542 | /** |
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543 | \brief Transforms a vector to a basis vector. |
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544 | |
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545 | All elements are set to zero except the \a i-th element which is |
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546 | set to one. |
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547 | */ |
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548 | void set_basis(vector&, size_t i); |
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549 | |
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550 | /** |
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551 | Sort the elements in the vector. |
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552 | |
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553 | \note Bug in GSL: if the vector contains one ore more NaNs the |
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554 | call never returns. |
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555 | */ |
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556 | void sort(vector&); |
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557 | |
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558 | /** |
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559 | \brief Calculate the sum of all vector elements. |
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560 | |
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561 | \return The sum. |
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562 | */ |
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563 | double sum(const vector&); |
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564 | |
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565 | /** |
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566 | \brief Swap vector elements by copying. |
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567 | |
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568 | The two vectors must have the same length. |
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569 | |
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570 | \throw GSL_error if vector lengths differs. |
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571 | */ |
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572 | void swap(vector&, vector&); |
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573 | |
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574 | /** |
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575 | \brief The output operator for the vector class. |
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576 | */ |
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577 | std::ostream& operator<<(std::ostream&, const vector&); |
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578 | |
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579 | }}} // of namespace utility, yat, and theplu |
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580 | |
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581 | #endif |
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