1 | #ifndef _theplu_yat_random_ |
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2 | #define _theplu_yat_random_ |
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3 | |
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4 | // $Id: random.h 1616 2008-11-05 21:36:48Z peter $ |
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5 | |
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6 | /* |
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7 | Copyright (C) 2005, 2006, 2007 Jari Häkkinen, Peter Johansson |
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8 | Copyright (C) 2008 Peter Johansson |
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9 | |
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10 | This file is part of the yat library, http://dev.thep.lu.se/yat |
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11 | |
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12 | The yat library is free software; you can redistribute it and/or |
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13 | modify it under the terms of the GNU General Public License as |
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14 | published by the Free Software Foundation; either version 3 of the |
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15 | License, or (at your option) any later version. |
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16 | |
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17 | The yat library is distributed in the hope that it will be useful, |
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18 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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19 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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20 | General Public License for more details. |
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21 | |
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22 | You should have received a copy of the GNU General Public License |
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23 | along with yat. If not, see <http://www.gnu.org/licenses/>. |
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24 | */ |
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25 | |
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26 | #include "yat/statistics/Histogram.h" |
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27 | |
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28 | #include <gsl/gsl_rng.h> |
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29 | #include <gsl/gsl_randist.h> |
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30 | |
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31 | #include <algorithm> |
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32 | #include <string> |
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33 | #include <vector> |
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34 | |
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35 | namespace theplu { |
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36 | namespace yat { |
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37 | namespace random { |
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38 | |
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39 | //forward declarion |
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40 | class RNG_state; |
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41 | |
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42 | /// |
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43 | /// @brief Random Number Generator |
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44 | /// |
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45 | /// The RNG class is wrapper to the GSL random number generator |
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46 | /// (rng). This class provides a single global instance of the rng, |
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47 | /// and makes sure there is only one point of access to the |
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48 | /// generator. |
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49 | /// |
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50 | /// There is information about how to change seeding and generators |
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51 | /// at run time without recompilation using environment variables in |
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52 | /// the GSL manual (Chapter on random number generators). RNG of |
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53 | /// course support seeding at compile time if you don't want to |
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54 | /// bother about environment variables and GSL. |
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55 | /// |
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56 | /// There are many different rng's available in GSL. Currently only |
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57 | /// the default generator is implemented and no other one is |
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58 | /// choosable through the class interface. This means that you have |
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59 | /// to fall back to the use of environment variables as described in |
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60 | /// the GSL documentation, or be bold and request support for other |
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61 | /// rng's through the class interface. |
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62 | /// |
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63 | /// Not all GSL functionality is implemented, we'll add |
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64 | /// functionality when needed and may do it when requested. Better |
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65 | /// yet, supply us with code and we will probably add it to the code |
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66 | /// (BUT remember to implement reasonable tests for your code and |
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67 | /// follow the coding style.) |
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68 | /// |
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69 | /// The current implementation is NOT thread safe since the RNG is |
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70 | /// implemented as a singleton. However, the underlying GSL rng's |
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71 | /// support thread safety since each instance of GSL rng's keep |
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72 | /// track of their own state accordning to GSL documentation. |
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73 | /// |
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74 | /// @see Design Patterns (the singleton and adapter pattern). GSL |
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75 | /// documentation. |
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76 | /// |
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77 | class RNG |
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78 | { |
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79 | public: |
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80 | |
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81 | /// |
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82 | /// @brief Get an instance of the random number generator. |
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83 | /// |
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84 | /// Get an instance of the random number generator. If the random |
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85 | /// number generator is not already created, the call will create |
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86 | /// a new generator and use the default seed. The seed must be |
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87 | /// changed with the seed or seed_from_devurandom member |
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88 | /// functions. |
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89 | /// |
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90 | /// @return A pointer to the random number generator. |
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91 | /// |
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92 | /// @see seed and seed_from_devurandom |
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93 | /// |
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94 | static RNG* instance(void); |
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95 | |
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96 | /// |
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97 | /// @brief Returns the largest number that the random number |
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98 | /// generator can return. |
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99 | /// |
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100 | unsigned long max(void) const; |
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101 | |
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102 | /// |
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103 | /// @brief Returns the smallest number that the random number |
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104 | /// generator can return. |
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105 | /// |
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106 | unsigned long min(void) const; |
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107 | |
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108 | /// |
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109 | /// @brief Returns the name of the random number generator |
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110 | /// |
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111 | std::string name(void) const; |
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112 | |
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113 | /// |
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114 | /// @return const pointer to underlying GSL random generator. |
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115 | /// |
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116 | const gsl_rng* rng(void) const; |
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117 | |
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118 | /// |
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119 | /// @brief Set the seed \a s for the rng. |
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120 | /// |
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121 | /// Set the seed \a s for the rng. If \a s is zero, a default |
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122 | /// value from the rng's original implementation is used (cf. GSL |
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123 | /// documentation). |
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124 | /// |
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125 | /// @see seed_from_devurandom |
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126 | /// |
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127 | void seed(unsigned long s) const; |
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128 | |
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129 | /// |
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130 | /// @brief Seed the rng using the /dev/urandom device. |
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131 | /// |
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132 | /// @return The seed acquired from /dev/urandom. |
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133 | /// |
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134 | unsigned long seed_from_devurandom(void); |
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135 | |
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136 | /** |
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137 | \brief Set the state to \a state. |
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138 | |
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139 | \return 0 on success, non-zero otherwise. |
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140 | |
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141 | \see gsl_rng_memcpy |
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142 | */ |
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143 | int set_state(const RNG_state&); |
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144 | |
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145 | private: |
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146 | RNG(void); |
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147 | |
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148 | /** |
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149 | \brief Not implemented. |
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150 | |
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151 | This copy contructor is not implemented. The constructor is |
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152 | declared in order to avoid compiler generated default copy |
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153 | constructor. |
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154 | */ |
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155 | RNG(const RNG&); |
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156 | |
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157 | /** |
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158 | There can be only one RNG so assignment is always |
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159 | self-assignment and we do not allow it |
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160 | */ |
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161 | RNG& operator=(const RNG&); |
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162 | |
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163 | virtual ~RNG(void); |
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164 | |
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165 | static RNG* instance_; |
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166 | gsl_rng* rng_; |
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167 | }; |
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168 | |
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169 | |
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170 | /// |
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171 | /// @brief Class holding state of a random generator |
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172 | /// |
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173 | class RNG_state |
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174 | { |
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175 | public: |
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176 | /// |
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177 | /// @brief Constructor |
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178 | /// |
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179 | RNG_state(const RNG*); |
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180 | |
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181 | /** |
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182 | Copy Constructor |
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183 | |
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184 | \since Explicitely declared since yat 0.5 |
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185 | */ |
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186 | RNG_state(const RNG_state&); |
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187 | |
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188 | /// |
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189 | /// @brief Destructor |
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190 | /// |
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191 | ~RNG_state(void); |
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192 | |
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193 | /// |
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194 | /// @return const pointer to underlying GSL random generator. |
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195 | /// |
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196 | const gsl_rng* rng(void) const; |
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197 | |
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198 | /** |
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199 | Assignment operator |
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200 | |
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201 | \since Explicitely declared since yat 0.5 |
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202 | */ |
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203 | RNG_state& operator=(const RNG_state&); |
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204 | |
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205 | private: |
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206 | gsl_rng* rng_; |
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207 | |
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208 | void clone(const gsl_rng&); |
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209 | }; |
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210 | |
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211 | |
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212 | // --------------------- Discrete distribtuions --------------------- |
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213 | |
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214 | /// |
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215 | /// @brief Discrete random number distributions. |
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216 | /// |
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217 | /// Abstract base class for discrete random number |
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218 | /// distributions. Given K discrete events with different |
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219 | /// probabilities \f$ P[k] \f$, produce a random value k consistent |
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220 | /// with its probability. |
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221 | /// |
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222 | class Discrete |
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223 | { |
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224 | public: |
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225 | /// |
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226 | /// @brief Constructor |
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227 | /// |
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228 | Discrete(void); |
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229 | |
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230 | /// |
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231 | /// @brief The destructor |
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232 | /// |
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233 | virtual ~Discrete(void); |
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234 | |
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235 | /// |
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236 | /// @brief Set the seed to \a s. |
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237 | /// |
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238 | /// Set the seed to \a s in the underlying rng. If \a s is zero, a |
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239 | /// default value from the rng's original implementation is used |
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240 | /// (cf. GSL documentation). |
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241 | /// |
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242 | /// @see seed_from_devurandom, RNG::seed_from_devurandom, RNG::seed |
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243 | /// |
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244 | void seed(unsigned long s) const; |
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245 | |
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246 | /// |
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247 | /// @brief Set the seed using the /dev/urandom device. |
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248 | /// |
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249 | /// @return The seed acquired from /dev/urandom. |
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250 | /// |
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251 | /// @see seed, RNG::seed_from_devurandom, RNG::seed |
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252 | /// |
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253 | unsigned long seed_from_devurandom(void); |
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254 | |
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255 | /// |
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256 | /// @return A random number. |
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257 | /// |
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258 | virtual unsigned long operator()(void) const = 0; |
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259 | |
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260 | protected: |
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261 | /// GSL random gererator |
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262 | RNG* rng_; |
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263 | }; |
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264 | |
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265 | /// |
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266 | /// @brief General |
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267 | /// |
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268 | class DiscreteGeneral : public Discrete |
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269 | { |
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270 | public: |
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271 | /// |
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272 | /// @brief Constructor |
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273 | /// |
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274 | /// @param hist is a Histogram defining the probability distribution |
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275 | /// |
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276 | DiscreteGeneral(const statistics::Histogram& hist); |
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277 | |
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278 | /** |
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279 | \brief Copy constructor |
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280 | |
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281 | \since Explicitely implemented in yat 0.5 |
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282 | */ |
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283 | DiscreteGeneral(const DiscreteGeneral&); |
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284 | |
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285 | /// |
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286 | /// @brief Destructor |
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287 | /// |
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288 | ~DiscreteGeneral(void); |
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289 | |
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290 | /// |
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291 | /// The generated number is an integer and proportinal to the |
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292 | /// frequency in the corresponding histogram bin. In other words, |
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293 | /// the probability that 0 is returned is proportinal to the size |
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294 | /// of the first bin. |
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295 | /// |
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296 | /// @return A random number. |
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297 | /// |
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298 | unsigned long operator()(void) const; |
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299 | |
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300 | /** |
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301 | \brief Assignment operator |
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302 | |
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303 | \since Explicitely implemented in yat 0.5 |
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304 | */ |
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305 | DiscreteGeneral& operator=(const DiscreteGeneral&); |
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306 | |
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307 | private: |
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308 | void free(void); |
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309 | void preproc(void); |
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310 | |
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311 | gsl_ran_discrete_t* gen_; |
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312 | std::vector<double> p_; |
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313 | }; |
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314 | |
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315 | /** |
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316 | @brief Discrete uniform distribution |
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317 | |
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318 | Discrete uniform distribution also known as the "equally likely |
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319 | outcomes" distribution. Each outcome, in this case an integer |
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320 | from [0,n-1] , have equal probability to occur. |
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321 | |
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322 | Distribution function \f$ p(k) = \frac{1}{n+1} \f$ for \f$ 0 \le |
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323 | k < n \f$ \n |
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324 | Expectation value: \f$ \frac{n-1}{2} \f$ \n |
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325 | Variance: \f$ \frac{1}{12}(n-1)(n+1) \f$ |
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326 | */ |
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327 | class DiscreteUniform : public Discrete |
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328 | { |
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329 | public: |
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330 | /** |
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331 | \brief Constructor. |
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332 | |
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333 | The generator will generate integers within the range \f$ |
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334 | [0,n-1] \f$. If \a n is zero, then the whole range of the |
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335 | underlying RNG will be used \f$ [min,max] \f$. Setting \a n to |
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336 | zero is the preferred way to sample the whole range of the |
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337 | underlying RNG, i.e. not setting \n to RNG.max. |
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338 | |
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339 | \throw If \a n is larger than the maximum number the underlying |
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340 | random number generator can return, then a GSL_error exception |
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341 | is thrown. |
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342 | */ |
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343 | DiscreteUniform(unsigned long n=0); |
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344 | |
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345 | /** |
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346 | \brief Get a random number |
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347 | |
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348 | The returned integer is either in the range [RNG.min,RNG.max] |
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349 | or [0,n-1] depending on how the random number generator was |
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350 | created. |
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351 | |
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352 | \see DiscreteUniform(const unsigned long n=0) |
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353 | */ |
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354 | unsigned long operator()(void) const; |
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355 | |
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356 | /** |
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357 | \brief Get a random integer in the range \f$ [0,n-1] \f$. |
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358 | |
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359 | All integers in the range [0,n-1] are equally likely. This |
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360 | function should be avoided for sampling the whole range of the |
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361 | underlying RNG. |
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362 | |
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363 | \throw GSL_error if \a n is larger than the range of the |
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364 | underlying generator. |
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365 | */ |
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366 | unsigned long operator()(unsigned long n) const; |
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367 | |
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368 | private: |
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369 | unsigned long range_; |
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370 | }; |
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371 | |
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372 | /** |
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373 | @brief Poisson Distribution |
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374 | |
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375 | Having a Poisson process (i.e. no memory), number of occurences |
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376 | within a given time window is Poisson distributed. This |
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377 | distribution is the limit of a Binomial distribution when number |
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378 | of attempts is large, and the probability for one attempt to be |
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379 | succesful is small (in such a way that the expected number of |
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380 | succesful attempts is \f$ m \f$. |
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381 | |
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382 | Probability function \f$ p(k) = e^{-m}\frac{m^k}{k!} \f$ for \f$ 0 \le |
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383 | k \f$ \n |
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384 | Expectation value: \f$ m \f$ \n |
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385 | Variance: \f$ m \f$ |
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386 | */ |
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387 | class Poisson : public Discrete |
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388 | { |
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389 | public: |
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390 | /// |
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391 | /// @brief Constructor |
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392 | /// |
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393 | /// @param m is expectation value |
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394 | /// |
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395 | Poisson(const double m=1); |
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396 | |
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397 | /// |
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398 | /// @return A Poisson distributed number. |
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399 | /// |
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400 | unsigned long operator()(void) const; |
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401 | |
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402 | /// |
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403 | /// @return A Poisson distributed number with expectation value |
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404 | /// \a m |
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405 | /// |
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406 | /// @note this operator ignores parameters set in Constructor |
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407 | /// |
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408 | unsigned long operator()(const double m) const; |
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409 | |
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410 | private: |
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411 | double m_; |
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412 | }; |
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413 | |
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414 | // --------------------- Continuous distribtuions --------------------- |
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415 | |
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416 | /// |
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417 | /// @brief Continuous random number distributions. |
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418 | /// |
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419 | /// Abstract base class for continuous random number distributions. |
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420 | /// |
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421 | class Continuous |
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422 | { |
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423 | public: |
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424 | |
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425 | /// |
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426 | /// @brief Constructor |
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427 | /// |
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428 | Continuous(void); |
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429 | |
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430 | /// |
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431 | /// @brief The destructor |
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432 | /// |
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433 | virtual ~Continuous(void); |
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434 | |
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435 | /// |
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436 | /// @brief Set the seed to \a s. |
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437 | /// |
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438 | /// Set the seed to \a s in the underlying rng. If \a s is zero, a |
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439 | /// default value from the rng's original implementation is used |
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440 | /// (cf. GSL documentation). |
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441 | /// |
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442 | /// @see seed_from_devurandom, RNG::seed_from_devurandom, RNG::seed |
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443 | /// |
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444 | void seed(unsigned long s) const; |
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445 | |
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446 | /// |
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447 | /// @brief Set the seed using the /dev/urandom device. |
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448 | /// |
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449 | /// @return The seed acquired from /dev/urandom. |
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450 | /// |
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451 | /// @see seed, RNG::seed_from_devurandom, RNG::seed |
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452 | /// |
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453 | unsigned long seed_from_devurandom(void) |
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454 | { return rng_->seed_from_devurandom(); } |
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455 | |
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456 | /// |
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457 | /// @return A random number |
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458 | /// |
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459 | virtual double operator()(void) const = 0; |
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460 | |
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461 | protected: |
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462 | /// pointer to GSL random generator |
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463 | RNG* rng_; |
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464 | }; |
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465 | |
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466 | // ContinuousUniform is declared before ContinuousGeneral to avoid |
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467 | // forward declaration |
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468 | /// |
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469 | /// @brief Uniform distribution |
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470 | /// |
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471 | /// Class for generating a random number from a uniform distribution |
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472 | /// in the range [0,1), i.e. zero is included but not 1. |
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473 | /// |
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474 | /// Distribution function \f$ f(x) = 1 \f$ for \f$ 0 \le x < 1 \f$ \n |
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475 | /// Expectation value: 0.5 \n |
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476 | /// Variance: \f$ \frac{1}{12} \f$ |
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477 | /// |
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478 | class ContinuousUniform : public Continuous |
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479 | { |
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480 | public: |
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481 | double operator()(void) const; |
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482 | }; |
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483 | |
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484 | /// |
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485 | /// @brief Generates numbers from a histogram in a continuous manner. |
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486 | /// |
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487 | class ContinuousGeneral : public Continuous |
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488 | { |
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489 | public: |
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490 | /// |
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491 | /// @brief Constructor |
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492 | /// |
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493 | /// @param hist is a Histogram defining the probability distribution |
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494 | /// |
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495 | ContinuousGeneral(const statistics::Histogram& hist); |
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496 | |
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497 | /// |
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498 | /// The number is generated in a two step process. First the bin |
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499 | /// in the histogram is randomly selected (see |
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500 | /// DiscreteGeneral). Then a number is generated uniformly from |
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501 | /// the interval defined by the bin. |
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502 | /// |
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503 | /// @return A random number. |
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504 | /// |
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505 | double operator()(void) const; |
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506 | |
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507 | private: |
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508 | const DiscreteGeneral discrete_; |
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509 | const statistics::Histogram hist_; |
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510 | ContinuousUniform u_; |
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511 | }; |
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512 | |
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513 | /** |
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514 | \brief Generator of random numbers from an exponential |
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515 | distribution. |
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516 | |
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517 | The distribution function is \f$ f(x) = \frac{1}{m}\exp(-x/a) |
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518 | \f$ for \f$ x \f$ with the expectation value \f$ m \f$ and |
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519 | variance \f$ m^2 \f$ |
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520 | */ |
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521 | class Exponential : public Continuous |
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522 | { |
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523 | public: |
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524 | /// |
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525 | /// @brief Constructor |
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526 | /// |
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527 | /// @param m is the expectation value of the distribution. |
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528 | /// |
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529 | Exponential(const double m=1); |
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530 | |
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531 | /// |
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532 | /// @return A random number from exponential distribution. |
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533 | /// |
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534 | double operator()(void) const; |
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535 | |
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536 | /// |
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537 | /// @return A random number from exponential distribution, with |
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538 | /// expectation value \a m |
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539 | /// |
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540 | /// @note This operator ignores parameters given in constructor. |
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541 | /// |
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542 | double operator()(const double m) const; |
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543 | |
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544 | private: |
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545 | double m_; |
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546 | }; |
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547 | |
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548 | /** |
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549 | @brief Gaussian distribution |
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550 | |
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551 | Class for generating a random number from a Gaussian distribution |
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552 | between zero and unity. Utilizes the Box-Muller algorithm, which |
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553 | needs two calls to random generator. |
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554 | |
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555 | Distribution function \f$ f(x) = |
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556 | \frac{1}{\sqrt{2\pi\sigma^2}}\exp(-\frac{(x-\mu)^2}{2\sigma^2}) |
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557 | \f$ \n |
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558 | Expectation value: \f$ \mu \f$ \n |
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559 | Variance: \f$ \sigma^2 \f$ |
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560 | */ |
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561 | class Gaussian : public Continuous |
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562 | { |
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563 | public: |
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564 | /// |
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565 | /// @brief Constructor |
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566 | /// |
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567 | /// @param s is the standard deviation \f$ \sigma \f$ of distribution |
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568 | /// @param m is the expectation value \f$ \mu \f$ of the distribution |
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569 | /// |
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570 | Gaussian(const double s=1, const double m=0); |
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571 | |
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572 | /// |
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573 | /// @return A random Gaussian number |
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574 | /// |
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575 | double operator()(void) const; |
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576 | |
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577 | /// |
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578 | /// @return A random Gaussian number with standard deviation \a s |
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579 | /// and expectation value 0. |
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580 | /// |
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581 | /// @note this operator ignores parameters given in Constructor |
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582 | /// |
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583 | double operator()(const double s) const; |
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584 | |
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585 | /// |
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586 | /// @return A random Gaussian number with standard deviation \a s |
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587 | /// and expectation value \a m. |
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588 | /// |
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589 | /// @note this operator ignores parameters given in Constructor |
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590 | /// |
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591 | double operator()(const double s, const double m) const; |
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592 | |
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593 | private: |
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594 | double m_; |
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595 | double s_; |
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596 | }; |
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597 | |
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598 | /** |
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599 | \brief Convenience function to shuffle a range with singleton RNG. |
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600 | |
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601 | Wrapper around std::random_shuffle using DiscreteUniform as |
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602 | random generator and thereby using the underlying RNG class, |
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603 | which is singleton. |
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604 | */ |
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605 | template<typename T> |
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606 | void random_shuffle(T first, T last) |
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607 | { |
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608 | DiscreteUniform rnd; |
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609 | std::random_shuffle(first, last, rnd); |
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610 | } |
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611 | |
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612 | }}} // of namespace random, yat, and theplu |
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613 | |
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614 | #endif |
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