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comparison DEPENDENCIES/generic/include/boost/random/cauchy_distribution.hpp @ 16:2665513ce2d3
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author | Chris Cannam |
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date | Tue, 05 Aug 2014 11:11:38 +0100 |
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children | c530137014c0 |
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1 /* boost random/cauchy_distribution.hpp header file | |
2 * | |
3 * Copyright Jens Maurer 2000-2001 | |
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: cauchy_distribution.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $ | |
11 * | |
12 * Revision history | |
13 * 2001-02-18 moved to individual header files | |
14 */ | |
15 | |
16 #ifndef BOOST_RANDOM_CAUCHY_DISTRIBUTION_HPP | |
17 #define BOOST_RANDOM_CAUCHY_DISTRIBUTION_HPP | |
18 | |
19 #include <boost/config/no_tr1/cmath.hpp> | |
20 #include <iosfwd> | |
21 #include <istream> | |
22 #include <boost/limits.hpp> | |
23 #include <boost/random/detail/config.hpp> | |
24 #include <boost/random/detail/operators.hpp> | |
25 #include <boost/random/uniform_01.hpp> | |
26 | |
27 namespace boost { | |
28 namespace random { | |
29 | |
30 // Cauchy distribution: | |
31 | |
32 /** | |
33 * The cauchy distribution is a continuous distribution with two | |
34 * parameters, median and sigma. | |
35 * | |
36 * It has \f$\displaystyle p(x) = \frac{\sigma}{\pi(\sigma^2 + (x-m)^2)}\f$ | |
37 */ | |
38 template<class RealType = double> | |
39 class cauchy_distribution | |
40 { | |
41 public: | |
42 typedef RealType input_type; | |
43 typedef RealType result_type; | |
44 | |
45 class param_type | |
46 { | |
47 public: | |
48 | |
49 typedef cauchy_distribution distribution_type; | |
50 | |
51 /** Constructs the parameters of the cauchy distribution. */ | |
52 explicit param_type(RealType median_arg = RealType(0.0), | |
53 RealType sigma_arg = RealType(1.0)) | |
54 : _median(median_arg), _sigma(sigma_arg) {} | |
55 | |
56 // backwards compatibility for Boost.Random | |
57 | |
58 /** Returns the median of the distribution. */ | |
59 RealType median() const { return _median; } | |
60 /** Returns the sigma parameter of the distribution. */ | |
61 RealType sigma() const { return _sigma; } | |
62 | |
63 // The new names in C++0x. | |
64 | |
65 /** Returns the median of the distribution. */ | |
66 RealType a() const { return _median; } | |
67 /** Returns the sigma parameter of the distribution. */ | |
68 RealType b() const { return _sigma; } | |
69 | |
70 /** Writes the parameters to a std::ostream. */ | |
71 BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, param_type, parm) | |
72 { | |
73 os << parm._median << " " << parm._sigma; | |
74 return os; | |
75 } | |
76 | |
77 /** Reads the parameters from a std::istream. */ | |
78 BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, param_type, parm) | |
79 { | |
80 is >> parm._median >> std::ws >> parm._sigma; | |
81 return is; | |
82 } | |
83 | |
84 /** Returns true if the two sets of parameters are equal. */ | |
85 BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(param_type, lhs, rhs) | |
86 { return lhs._median == rhs._median && lhs._sigma == rhs._sigma; } | |
87 | |
88 /** Returns true if the two sets of parameters are different. */ | |
89 BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type) | |
90 | |
91 private: | |
92 RealType _median; | |
93 RealType _sigma; | |
94 }; | |
95 | |
96 /** | |
97 * Constructs a \cauchy_distribution with the paramters @c median | |
98 * and @c sigma. | |
99 */ | |
100 explicit cauchy_distribution(RealType median_arg = RealType(0.0), | |
101 RealType sigma_arg = RealType(1.0)) | |
102 : _median(median_arg), _sigma(sigma_arg) { } | |
103 | |
104 /** | |
105 * Constructs a \cauchy_distribution from it's parameters. | |
106 */ | |
107 explicit cauchy_distribution(const param_type& parm) | |
108 : _median(parm.median()), _sigma(parm.sigma()) { } | |
109 | |
110 // compiler-generated copy ctor and assignment operator are fine | |
111 | |
112 // backwards compatibility for Boost.Random | |
113 | |
114 /** Returns: the "median" parameter of the distribution */ | |
115 RealType median() const { return _median; } | |
116 /** Returns: the "sigma" parameter of the distribution */ | |
117 RealType sigma() const { return _sigma; } | |
118 | |
119 // The new names in C++0x | |
120 | |
121 /** Returns: the "median" parameter of the distribution */ | |
122 RealType a() const { return _median; } | |
123 /** Returns: the "sigma" parameter of the distribution */ | |
124 RealType b() const { return _sigma; } | |
125 | |
126 /** Returns the smallest value that the distribution can produce. */ | |
127 RealType min BOOST_PREVENT_MACRO_SUBSTITUTION () const | |
128 { return -(std::numeric_limits<RealType>::infinity)(); } | |
129 | |
130 /** Returns the largest value that the distribution can produce. */ | |
131 RealType max BOOST_PREVENT_MACRO_SUBSTITUTION () const | |
132 { return (std::numeric_limits<RealType>::infinity)(); } | |
133 | |
134 param_type param() const { return param_type(_median, _sigma); } | |
135 | |
136 void param(const param_type& parm) | |
137 { | |
138 _median = parm.median(); | |
139 _sigma = parm.sigma(); | |
140 } | |
141 | |
142 /** | |
143 * Effects: Subsequent uses of the distribution do not depend | |
144 * on values produced by any engine prior to invoking reset. | |
145 */ | |
146 void reset() { } | |
147 | |
148 /** | |
149 * Returns: A random variate distributed according to the | |
150 * cauchy distribution. | |
151 */ | |
152 template<class Engine> | |
153 result_type operator()(Engine& eng) | |
154 { | |
155 // Can we have a boost::mathconst please? | |
156 const result_type pi = result_type(3.14159265358979323846); | |
157 using std::tan; | |
158 RealType val = uniform_01<RealType>()(eng)-result_type(0.5); | |
159 return _median + _sigma * tan(pi*val); | |
160 } | |
161 | |
162 /** | |
163 * Returns: A random variate distributed according to the | |
164 * cauchy distribution with parameters specified by param. | |
165 */ | |
166 template<class Engine> | |
167 result_type operator()(Engine& eng, const param_type& parm) | |
168 { | |
169 return cauchy_distribution(parm)(eng); | |
170 } | |
171 | |
172 /** | |
173 * Writes the distribution to a @c std::ostream. | |
174 */ | |
175 BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, cauchy_distribution, cd) | |
176 { | |
177 os << cd._median << " " << cd._sigma; | |
178 return os; | |
179 } | |
180 | |
181 /** | |
182 * Reads the distribution from a @c std::istream. | |
183 */ | |
184 BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, cauchy_distribution, cd) | |
185 { | |
186 is >> cd._median >> std::ws >> cd._sigma; | |
187 return is; | |
188 } | |
189 | |
190 /** | |
191 * Returns true if the two distributions will produce | |
192 * identical sequences of values, given equal generators. | |
193 */ | |
194 BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(cauchy_distribution, lhs, rhs) | |
195 { return lhs._median == rhs._median && lhs._sigma == rhs._sigma; } | |
196 | |
197 /** | |
198 * Returns true if the two distributions may produce | |
199 * different sequences of values, given equal generators. | |
200 */ | |
201 BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(cauchy_distribution) | |
202 | |
203 private: | |
204 RealType _median; | |
205 RealType _sigma; | |
206 }; | |
207 | |
208 } // namespace random | |
209 | |
210 using random::cauchy_distribution; | |
211 | |
212 } // namespace boost | |
213 | |
214 #endif // BOOST_RANDOM_CAUCHY_DISTRIBUTION_HPP |