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comparison DEPENDENCIES/generic/include/boost/random/beta_distribution.hpp @ 102:f46d142149f5
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author | Chris Cannam |
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date | Mon, 07 Sep 2015 11:13:41 +0100 |
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1 /* boost random/beta_distribution.hpp header file | |
2 * | |
3 * Copyright Steven Watanabe 2014 | |
4 * Distributed under the Boost Software License, Version 1.0. (See | |
5 * accompanying file LICENSE_1_0.txt or copy at | |
6 * http://www.boost.org/LICENSE_1_0.txt) | |
7 * | |
8 * See http://www.boost.org for most recent version including documentation. | |
9 * | |
10 * $Id$ | |
11 */ | |
12 | |
13 #ifndef BOOST_RANDOM_BETA_DISTRIBUTION_HPP | |
14 #define BOOST_RANDOM_BETA_DISTRIBUTION_HPP | |
15 | |
16 #include <cassert> | |
17 #include <istream> | |
18 #include <iosfwd> | |
19 #include <boost/random/detail/operators.hpp> | |
20 #include <boost/random/gamma_distribution.hpp> | |
21 | |
22 namespace boost { | |
23 namespace random { | |
24 | |
25 /** | |
26 * The beta distribution is a real-valued distribution which produces | |
27 * values in the range [0, 1]. It has two parameters, alpha and beta. | |
28 * | |
29 * It has \f$\displaystyle p(x) = \frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha, \beta)}\f$. | |
30 */ | |
31 template<class RealType = double> | |
32 class beta_distribution { | |
33 public: | |
34 typedef RealType result_type; | |
35 typedef RealType input_type; | |
36 | |
37 class param_type { | |
38 public: | |
39 typedef beta_distribution distribution_type; | |
40 | |
41 /** | |
42 * Constructs a @c param_type from the "alpha" and "beta" parameters | |
43 * of the distribution. | |
44 * | |
45 * Requires: alpha > 0, beta > 0 | |
46 */ | |
47 explicit param_type(RealType alpha_arg = RealType(1.0), | |
48 RealType beta_arg = RealType(1.0)) | |
49 : _alpha(alpha_arg), _beta(beta_arg) | |
50 { | |
51 assert(alpha_arg > 0); | |
52 assert(beta_arg > 0); | |
53 } | |
54 | |
55 /** Returns the "alpha" parameter of the distribtuion. */ | |
56 RealType alpha() const { return _alpha; } | |
57 /** Returns the "beta" parameter of the distribution. */ | |
58 RealType beta() const { return _beta; } | |
59 | |
60 /** Writes a @c param_type to a @c std::ostream. */ | |
61 BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, param_type, parm) | |
62 { os << parm._alpha << ' ' << parm._beta; return os; } | |
63 | |
64 /** Reads a @c param_type from a @c std::istream. */ | |
65 BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, param_type, parm) | |
66 { is >> parm._alpha >> std::ws >> parm._beta; return is; } | |
67 | |
68 /** Returns true if the two sets of parameters are the same. */ | |
69 BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(param_type, lhs, rhs) | |
70 { return lhs._alpha == rhs._alpha && lhs._beta == rhs._beta; } | |
71 | |
72 /** Returns true if the two sets of parameters are the different. */ | |
73 BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type) | |
74 | |
75 private: | |
76 RealType _alpha; | |
77 RealType _beta; | |
78 }; | |
79 | |
80 /** | |
81 * Constructs an @c beta_distribution from its "alpha" and "beta" parameters. | |
82 * | |
83 * Requires: alpha > 0, beta > 0 | |
84 */ | |
85 explicit beta_distribution(RealType alpha_arg = RealType(1.0), | |
86 RealType beta_arg = RealType(1.0)) | |
87 : _alpha(alpha_arg), _beta(beta_arg) | |
88 { | |
89 assert(alpha_arg > 0); | |
90 assert(beta_arg > 0); | |
91 } | |
92 /** Constructs an @c beta_distribution from its parameters. */ | |
93 explicit beta_distribution(const param_type& parm) | |
94 : _alpha(parm.alpha()), _beta(parm.beta()) | |
95 {} | |
96 | |
97 /** | |
98 * Returns a random variate distributed according to the | |
99 * beta distribution. | |
100 */ | |
101 template<class URNG> | |
102 RealType operator()(URNG& urng) const | |
103 { | |
104 RealType a = gamma_distribution<RealType>(_alpha, RealType(1.0))(urng); | |
105 RealType b = gamma_distribution<RealType>(_beta, RealType(1.0))(urng); | |
106 return a / (a + b); | |
107 } | |
108 | |
109 /** | |
110 * Returns a random variate distributed accordint to the beta | |
111 * distribution with parameters specified by @c param. | |
112 */ | |
113 template<class URNG> | |
114 RealType operator()(URNG& urng, const param_type& parm) const | |
115 { | |
116 return beta_distribution(parm)(urng); | |
117 } | |
118 | |
119 /** Returns the "alpha" parameter of the distribution. */ | |
120 RealType alpha() const { return _alpha; } | |
121 /** Returns the "beta" parameter of the distribution. */ | |
122 RealType beta() const { return _beta; } | |
123 | |
124 /** Returns the smallest value that the distribution can produce. */ | |
125 RealType min BOOST_PREVENT_MACRO_SUBSTITUTION () const | |
126 { return RealType(0.0); } | |
127 /** Returns the largest value that the distribution can produce. */ | |
128 RealType max BOOST_PREVENT_MACRO_SUBSTITUTION () const | |
129 { return RealType(1.0); } | |
130 | |
131 /** Returns the parameters of the distribution. */ | |
132 param_type param() const { return param_type(_alpha, _beta); } | |
133 /** Sets the parameters of the distribution. */ | |
134 void param(const param_type& parm) | |
135 { | |
136 _alpha = parm.alpha(); | |
137 _beta = parm.beta(); | |
138 } | |
139 | |
140 /** | |
141 * Effects: Subsequent uses of the distribution do not depend | |
142 * on values produced by any engine prior to invoking reset. | |
143 */ | |
144 void reset() { } | |
145 | |
146 /** Writes an @c beta_distribution to a @c std::ostream. */ | |
147 BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, beta_distribution, wd) | |
148 { | |
149 os << wd.param(); | |
150 return os; | |
151 } | |
152 | |
153 /** Reads an @c beta_distribution from a @c std::istream. */ | |
154 BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, beta_distribution, wd) | |
155 { | |
156 param_type parm; | |
157 if(is >> parm) { | |
158 wd.param(parm); | |
159 } | |
160 return is; | |
161 } | |
162 | |
163 /** | |
164 * Returns true if the two instances of @c beta_distribution will | |
165 * return identical sequences of values given equal generators. | |
166 */ | |
167 BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(beta_distribution, lhs, rhs) | |
168 { return lhs._alpha == rhs._alpha && lhs._beta == rhs._beta; } | |
169 | |
170 /** | |
171 * Returns true if the two instances of @c beta_distribution will | |
172 * return different sequences of values given equal generators. | |
173 */ | |
174 BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(beta_distribution) | |
175 | |
176 private: | |
177 RealType _alpha; | |
178 RealType _beta; | |
179 }; | |
180 | |
181 } // namespace random | |
182 } // namespace boost | |
183 | |
184 #endif // BOOST_RANDOM_BETA_DISTRIBUTION_HPP |