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 831 2007-03-27 13:22:09Z 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 | |
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9 | This file is part of the yat library, http://lev.thep.lu.se/trac/yat |
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10 | |
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11 | The yat library is free software; you can redistribute it and/or |
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12 | modify it under the terms of the GNU General Public License as |
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13 | published by the Free Software Foundation; either version 2 of the |
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14 | License, or (at your option) any later version. |
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15 | |
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16 | The yat library is distributed in the hope that it will be useful, |
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17 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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18 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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19 | General Public License for more details. |
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20 | |
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21 | You should have received a copy of the GNU General Public License |
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22 | along with this program; if not, write to the Free Software |
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23 | Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA |
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24 | 02111-1307, USA. |
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25 | */ |
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26 | |
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27 | #include "yat/statistics/Histogram.h" |
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28 | |
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29 | #include <gsl/gsl_rng.h> |
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30 | #include <gsl/gsl_randist.h> |
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31 | |
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32 | #include <string> |
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33 | |
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34 | namespace theplu { |
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35 | namespace yat { |
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36 | namespace random { |
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37 | |
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38 | //forward declarion |
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39 | class RNG_state; |
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40 | |
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41 | /// |
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42 | /// @brief Random Number Generator |
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43 | /// |
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44 | /// The RNG class is wrapper to the GSL random number generator |
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45 | /// (rng). This class provides a single global instance of the rng, |
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46 | /// and makes sure there is only one point of access to the |
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47 | /// generator. |
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48 | /// |
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49 | /// There is information about how to change seeding and generators |
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50 | /// at run time without recompilation using environment variables in |
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51 | /// the GSL manual (Chapter on random number generators). RNG of |
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52 | /// course support seeding at compile time if you don't want to |
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53 | /// bother about environment variables and GSL. |
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54 | /// |
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55 | /// There are many different rng's available in GSL. Currently only |
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56 | /// the default generator is implemented and no other one is |
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57 | /// choosable through the class interface. This means that you have |
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58 | /// to fall back to the use of environment variables as described in |
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59 | /// the GSL documentation, or be bold and request support for other |
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60 | /// rng's through the class interface. |
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61 | /// |
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62 | /// Not all GSL functionality is implemented, we'll add |
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63 | /// functionality when needed and may do it when requested. Better |
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64 | /// yet, supply us with code and we will probably add it to the code |
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65 | /// (BUT remember to implement reasonable tests for your code and |
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66 | /// follow the coding style.) |
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67 | /// |
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68 | /// The current implementation is NOT thread safe since the RNG is |
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69 | /// implemented as a singleton. However, the underlying GSL rng's |
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70 | /// support thread safety since each instance of GSL rng's keep |
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71 | /// track of their own state accordning to GSL documentation. |
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72 | /// |
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73 | /// @see Design Patterns (the singleton and adapter pattern). GSL |
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74 | /// documentation. |
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75 | /// |
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76 | class RNG |
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77 | { |
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78 | public: |
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79 | |
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80 | virtual ~RNG(void); |
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81 | |
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82 | /// |
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83 | /// @brief Get an instance of the random number generator. |
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84 | /// |
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85 | /// Get an instance of the random number generator. If the random |
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86 | /// number generator is not already created, the call will create |
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87 | /// a new generator and use the default seed. The seed must be |
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88 | /// changed with the seed or seed_from_devurandom member |
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89 | /// functions. |
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90 | /// |
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91 | /// @return A pointer to the random number generator. |
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92 | /// |
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93 | /// @see seed and seed_from_devurandom |
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94 | /// |
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95 | static RNG* instance(void); |
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96 | |
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97 | /// |
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98 | /// @brief Returns the largest number that the random number |
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99 | /// generator can return. |
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100 | /// |
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101 | u_long max(void) const; |
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102 | |
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103 | /// |
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104 | /// @brief Returns the smallest number that the random number |
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105 | /// generator can return. |
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106 | /// |
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107 | u_long min(void) const; |
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108 | |
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109 | /// |
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110 | /// @brief Returns the name of the random number generator |
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111 | /// |
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112 | std::string name(void) const; |
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113 | |
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114 | /// |
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115 | /// @return const pointer to underlying GSL random generator. |
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116 | /// |
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117 | const gsl_rng* rng(void) const; |
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118 | |
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119 | /// |
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120 | /// @brief Set the seed \a s for the rng. |
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121 | /// |
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122 | /// Set the seed \a s for the rng. If \a s is zero, a default |
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123 | /// value from the rng's original implementation is used (cf. GSL |
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124 | /// documentation). |
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125 | /// |
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126 | /// @see seed_from_devurandom |
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127 | /// |
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128 | void seed(u_long s) const; |
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129 | |
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130 | /// |
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131 | /// @brief Seed the rng using the /dev/urandom device. |
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132 | /// |
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133 | /// @return The seed acquired from /dev/urandom. |
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134 | /// |
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135 | u_long seed_from_devurandom(void); |
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136 | |
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137 | /** |
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138 | \brief Set the state to \a state. |
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139 | |
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140 | \return 0 on success, non-zero otherwise. |
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141 | |
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142 | \see gsl_rng_memcpy |
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143 | */ |
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144 | int set_state(const RNG_state&); |
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145 | |
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146 | private: |
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147 | RNG(void); |
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148 | |
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149 | static RNG* instance_; |
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150 | gsl_rng* rng_; |
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151 | }; |
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152 | |
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153 | |
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154 | /// |
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155 | /// @brief Class holding state of a random generator |
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156 | /// |
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157 | class RNG_state |
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158 | { |
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159 | public: |
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160 | /// |
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161 | /// @brief Constructor |
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162 | /// |
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163 | RNG_state(const RNG*); |
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164 | |
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165 | /// |
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166 | /// @brief Destructor |
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167 | /// |
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168 | ~RNG_state(void); |
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169 | |
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170 | /// |
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171 | /// @return const pointer to underlying GSL random generator. |
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172 | /// |
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173 | const gsl_rng* rng(void) const; |
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174 | |
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175 | private: |
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176 | gsl_rng* rng_; |
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177 | |
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178 | }; |
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179 | |
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180 | |
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181 | // --------------------- Discrete distribtuions --------------------- |
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182 | |
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183 | /// |
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184 | /// @brief Discrete random number distributions. |
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185 | /// |
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186 | /// Abstract base class for discrete random number |
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187 | /// distributions. Given K discrete events with different |
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188 | /// probabilities \f$ P[k] \f$, produce a random value k consistent |
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189 | /// with its probability. |
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190 | /// |
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191 | class Discrete |
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192 | { |
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193 | public: |
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194 | /// |
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195 | /// @brief Constructor |
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196 | /// |
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197 | Discrete(void); |
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198 | |
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199 | /// |
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200 | /// @brief The destructor |
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201 | /// |
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202 | virtual ~Discrete(void); |
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203 | |
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204 | /// |
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205 | /// @brief Set the seed to \a s. |
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206 | /// |
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207 | /// Set the seed to \a s in the underlying rng. If \a s is zero, a |
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208 | /// default value from the rng's original implementation is used |
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209 | /// (cf. GSL documentation). |
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210 | /// |
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211 | /// @see seed_from_devurandom, RNG::seed_from_devurandom, RNG::seed |
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212 | /// |
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213 | void seed(u_long s) const; |
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214 | |
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215 | /// |
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216 | /// @brief Set the seed using the /dev/urandom device. |
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217 | /// |
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218 | /// @return The seed acquired from /dev/urandom. |
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219 | /// |
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220 | /// @see seed, RNG::seed_from_devurandom, RNG::seed |
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221 | /// |
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222 | u_long seed_from_devurandom(void) { return rng_->seed_from_devurandom(); } |
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223 | |
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224 | /// |
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225 | /// @return A random number. |
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226 | /// |
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227 | virtual u_long operator()(void) const = 0; |
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228 | |
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229 | protected: |
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230 | /// GSL random gererator |
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231 | RNG* rng_; |
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232 | }; |
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233 | |
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234 | /// |
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235 | /// @brief General |
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236 | /// |
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237 | class DiscreteGeneral : public Discrete |
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238 | { |
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239 | public: |
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240 | /// |
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241 | /// @brief Constructor |
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242 | /// |
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243 | /// @param hist is a Histogram defining the probability distribution |
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244 | /// |
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245 | DiscreteGeneral(const statistics::Histogram& hist); |
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246 | |
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247 | /// |
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248 | /// @brief Destructor |
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249 | /// |
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250 | ~DiscreteGeneral(void); |
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251 | |
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252 | /// |
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253 | /// The generated number is an integer and proportinal to the |
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254 | /// frequency in the corresponding histogram bin. In other words, |
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255 | /// the probability that 0 is returned is proportinal to the size |
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256 | /// of the first bin. |
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257 | /// |
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258 | /// @return A random number. |
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259 | /// |
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260 | u_long operator()(void) const; |
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261 | |
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262 | private: |
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263 | gsl_ran_discrete_t* gen_; |
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264 | }; |
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265 | |
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266 | /// |
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267 | /// @brief Discrete uniform distribution |
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268 | /// |
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269 | /// Discrete uniform distribution also known as the "equally likely |
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270 | /// outcomes" distribution. Each outcome, in this case an integer |
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271 | /// from [0,n-1] , have equal probability to occur. |
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272 | /// |
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273 | /// Distribution function \f$ p(k) = \frac{1}{n+1} \f$ for \f$ 0 \le |
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274 | /// k < n \f$ \n |
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275 | /// Expectation value: \f$ \frac{n-1}{2} \f$ \n |
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276 | /// Variance: \f$ \frac{1}{12}(n-1)(n+1) \f$ |
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277 | /// |
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278 | class DiscreteUniform : public Discrete |
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279 | { |
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280 | public: |
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281 | /** |
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282 | \brief Constructor. |
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283 | |
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284 | The generator will generate integers within the range \f$ |
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285 | [0,n-1] \f$. If \a n is zero, then the whole range of the |
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286 | underlying RNG will be used \f$ [min,max] \f$. Setting \a n to |
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287 | zero is the preferred way to sample the whole range of the |
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288 | underlying RNG, i.e. not setting \n to RNG.max. |
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289 | |
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290 | \throw If \a n is larger than the maximum number the underlying |
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291 | random number generator can return, then a GSL_error exception |
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292 | is thrown. |
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293 | */ |
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294 | DiscreteUniform(u_long n=0); |
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295 | |
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296 | /** |
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297 | \brief Get a random number |
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298 | |
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299 | The returned integer is either in the range [RNG.min,RNG.max] |
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300 | or [0,n-1] depending on how the random number generator was |
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301 | created. |
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302 | |
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303 | \see DiscreteUniform(const u_long n=0) |
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304 | */ |
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305 | u_long operator()(void) const; |
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306 | |
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307 | /** |
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308 | \brief Get a random integer in the range \f$ [0,n-1] \f$. |
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309 | |
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310 | All integers in the range [0,n-1] are equally likely. This |
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311 | function should be avoided for sampling the whole range of the |
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312 | underlying RNG. |
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313 | |
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314 | \throw GSL_error if \an is larger than the range of the |
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315 | underlying generator. |
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316 | */ |
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317 | u_long operator()(u_long n) const; |
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318 | |
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319 | private: |
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320 | u_long range_; |
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321 | }; |
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322 | |
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323 | /// |
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324 | /// @brief Poisson Distribution |
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325 | /// |
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326 | /// Having a Poisson process (i.e. no memory), number of occurences |
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327 | /// within a given time window is Poisson distributed. This |
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328 | /// distribution is the limit of a Binomial distribution when number |
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329 | /// of attempts is large, and the probability for one attempt to be |
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330 | /// succesful is small (in such a way that the expected number of |
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331 | /// succesful attempts is \f$ m \f$. |
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332 | /// |
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333 | /// Probability function \f$ p(k) = e^{-m}\frac{m^k}{k!} \f$ for \f$ 0 \le |
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334 | /// k \f$ \n |
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335 | /// Expectation value: \f$ m \f$ \n |
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336 | /// Variance: \f$ m \f$ |
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337 | /// |
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338 | class Poisson : public Discrete |
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339 | { |
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340 | public: |
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341 | /// |
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342 | /// @brief Constructor |
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343 | /// |
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344 | /// @param m is expectation value |
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345 | /// |
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346 | Poisson(const double m=1); |
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347 | |
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348 | /// |
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349 | /// @return A Poisson distributed number. |
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350 | /// |
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351 | u_long operator()(void) const; |
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352 | |
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353 | /// |
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354 | /// @return A Poisson distributed number with expectation value |
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355 | /// \a m |
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356 | /// |
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357 | /// @note this operator ignores parameters set in Constructor |
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358 | /// |
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359 | u_long operator()(const double m) const; |
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360 | |
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361 | private: |
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362 | double m_; |
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363 | }; |
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364 | |
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365 | // --------------------- Continuous distribtuions --------------------- |
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366 | |
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367 | /// |
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368 | /// @brief Continuous random number distributions. |
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369 | /// |
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370 | /// Abstract base class for continuous random number distributions. |
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371 | /// |
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372 | class Continuous |
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373 | { |
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374 | public: |
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375 | |
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376 | /// |
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377 | /// @brief Constructor |
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378 | /// |
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379 | Continuous(void); |
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380 | |
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381 | /// |
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382 | /// @brief The destructor |
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383 | /// |
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384 | virtual ~Continuous(void); |
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385 | |
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386 | /// |
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387 | /// @brief Set the seed to \a s. |
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388 | /// |
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389 | /// Set the seed to \a s in the underlying rng. If \a s is zero, a |
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390 | /// default value from the rng's original implementation is used |
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391 | /// (cf. GSL documentation). |
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392 | /// |
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393 | /// @see seed_from_devurandom, RNG::seed_from_devurandom, RNG::seed |
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394 | /// |
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395 | void seed(u_long s) const; |
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396 | |
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397 | /// |
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398 | /// @brief Set the seed using the /dev/urandom device. |
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399 | /// |
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400 | /// @return The seed acquired from /dev/urandom. |
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401 | /// |
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402 | /// @see seed, RNG::seed_from_devurandom, RNG::seed |
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403 | /// |
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404 | u_long seed_from_devurandom(void) { return rng_->seed_from_devurandom(); } |
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405 | |
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406 | /// |
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407 | /// @return A random number |
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408 | /// |
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409 | virtual double operator()(void) const = 0; |
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410 | |
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411 | protected: |
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412 | /// pointer to GSL random generator |
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413 | RNG* rng_; |
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414 | }; |
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415 | |
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416 | // ContinuousUniform is declared before ContinuousGeneral to avoid |
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417 | // forward declaration |
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418 | /// |
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419 | /// @brief Uniform distribution |
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420 | /// |
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421 | /// Class for generating a random number from a uniform distribution |
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422 | /// in the range [0,1), i.e. zero is included but not 1. |
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423 | /// |
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424 | /// Distribution function \f$ f(x) = 1 \f$ for \f$ 0 \le x < 1 \f$ \n |
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425 | /// Expectation value: 0.5 \n |
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426 | /// Variance: \f$ \frac{1}{12} \f$ |
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427 | /// |
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428 | class ContinuousUniform : public Continuous |
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429 | { |
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430 | public: |
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431 | double operator()(void) const; |
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432 | }; |
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433 | |
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434 | /// |
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435 | /// @brief Generates numbers from a histogram in a continuous manner. |
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436 | /// |
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437 | class ContinuousGeneral : public Continuous |
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438 | { |
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439 | public: |
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440 | /// |
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441 | /// @brief Constructor |
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442 | /// |
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443 | /// @param hist is a Histogram defining the probability distribution |
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444 | /// |
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445 | ContinuousGeneral(const statistics::Histogram& hist); |
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446 | |
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447 | /// |
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448 | /// The number is generated in a two step process. First the bin |
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449 | /// in the histogram is randomly selected (see |
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450 | /// DiscreteGeneral). Then a number is generated uniformly from |
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451 | /// the interval defined by the bin. |
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452 | /// |
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453 | /// @return A random number. |
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454 | /// |
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455 | double operator()(void) const; |
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456 | |
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457 | private: |
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458 | const DiscreteGeneral discrete_; |
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459 | const statistics::Histogram hist_; |
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460 | ContinuousUniform u_; |
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461 | }; |
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462 | |
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463 | /// |
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464 | /// @brief Generator of random numbers from an exponential |
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465 | /// distribution. |
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466 | /// |
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467 | /// The distribution function is \f$ f(x) = \frac{1}{m}\exp(-x/a) |
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468 | /// \f$ for \f$ x \f$ with the expectation value \f$ m \f$ and |
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469 | /// variance \f$ m^2 \f$ |
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470 | /// |
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471 | class Exponential : public Continuous |
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472 | { |
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473 | public: |
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474 | /// |
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475 | /// @brief Constructor |
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476 | /// |
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477 | /// @param m is the expectation value of the distribution. |
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478 | /// |
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479 | Exponential(const double m=1); |
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480 | |
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481 | /// |
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482 | /// @return A random number from exponential distribution. |
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483 | /// |
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484 | double operator()(void) const; |
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485 | |
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486 | /// |
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487 | /// @return A random number from exponential distribution, with |
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488 | /// expectation value \a m |
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489 | /// |
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490 | /// @note This operator ignores parameters given in constructor. |
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491 | /// |
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492 | double operator()(const double m) const; |
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493 | |
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494 | private: |
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495 | double m_; |
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496 | }; |
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497 | |
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498 | /// |
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499 | /// @brief Gaussian distribution |
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500 | /// |
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501 | /// Class for generating a random number from a Gaussian |
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502 | /// distribution between zero and unity. Utilizes the Box-Muller |
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503 | /// algorithm, which needs two calls to random generator. |
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504 | /// |
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505 | /// Distribution function \f$ f(x) = |
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506 | /// \frac{1}{\sqrt{2\pi\sigma^2}}\exp(-\frac{(x-\mu)^2}{2\sigma^2}) |
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507 | /// \f$ \n |
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508 | /// Expectation value: \f$ \mu \f$ \n |
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509 | /// Variance: \f$ \sigma^2 \f$ |
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510 | /// |
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511 | class Gaussian : public Continuous |
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512 | { |
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513 | public: |
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514 | /// |
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515 | /// @brief Constructor |
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516 | /// |
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517 | /// @param s is the standard deviation \f$ \sigma \f$ of distribution |
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518 | /// @param m is the expectation value \f$ \mu \f$ of the distribution |
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519 | /// |
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520 | Gaussian(const double s=1, const double m=0); |
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521 | |
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522 | /// |
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523 | /// @return A random Gaussian number |
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524 | /// |
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525 | double operator()(void) const; |
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526 | |
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527 | /// |
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528 | /// @return A random Gaussian number with standard deviation \a s |
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529 | /// and expectation value 0. |
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530 | /// |
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531 | /// @note this operator ignores parameters given in Constructor |
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532 | /// |
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533 | double operator()(const double s) const; |
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534 | |
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535 | /// |
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536 | /// @return A random Gaussian number with standard deviation \a s |
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537 | /// and expectation value \a m. |
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538 | /// |
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539 | /// @note this operator ignores parameters given in Constructor |
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540 | /// |
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541 | double operator()(const double s, const double m) const; |
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542 | |
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543 | private: |
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544 | double m_; |
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545 | double s_; |
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546 | }; |
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547 | |
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548 | }}} // of namespace random, yat, and theplu |
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549 | |
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550 | #endif |
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