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1 ///////////////////////////////////////////////////////////////////////////////
2 // moment.hpp
3 //
4 // Copyright 2005 Eric Niebler. Distributed under the Boost
5 // Software License, Version 1.0. (See accompanying file
6 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
7
8 #ifndef BOOST_ACCUMULATORS_STATISTICS_MOMENT_HPP_EAN_15_11_2005
9 #define BOOST_ACCUMULATORS_STATISTICS_MOMENT_HPP_EAN_15_11_2005
10
11 #include <boost/config/no_tr1/cmath.hpp>
12 #include <boost/mpl/int.hpp>
13 #include <boost/mpl/assert.hpp>
14 #include <boost/mpl/placeholders.hpp>
15 #include <boost/accumulators/framework/accumulator_base.hpp>
16 #include <boost/accumulators/framework/extractor.hpp>
17 #include <boost/accumulators/numeric/functional.hpp>
18 #include <boost/accumulators/framework/parameters/sample.hpp>
19 #include <boost/accumulators/framework/depends_on.hpp>
20 #include <boost/accumulators/statistics_fwd.hpp>
21 #include <boost/accumulators/statistics/count.hpp>
22
23 namespace boost { namespace numeric
24 {
25 /// INTERNAL ONLY
26 ///
27 template<typename T>
28 T const &pow(T const &x, mpl::int_<1>)
29 {
30 return x;
31 }
32
33 /// INTERNAL ONLY
34 ///
35 template<typename T, int N>
36 T pow(T const &x, mpl::int_<N>)
37 {
38 using namespace operators;
39 T y = numeric::pow(x, mpl::int_<N/2>());
40 T z = y * y;
41 return (N % 2) ? (z * x) : z;
42 }
43 }}
44
45 namespace boost { namespace accumulators
46 {
47
48 namespace impl
49 {
50 ///////////////////////////////////////////////////////////////////////////////
51 // moment_impl
52 template<typename N, typename Sample>
53 struct moment_impl
54 : accumulator_base // TODO: also depends_on sum of powers
55 {
56 BOOST_MPL_ASSERT_RELATION(N::value, >, 0);
57 // for boost::result_of
58 typedef typename numeric::functional::fdiv<Sample, std::size_t>::result_type result_type;
59
60 template<typename Args>
61 moment_impl(Args const &args)
62 : sum(args[sample | Sample()])
63 {
64 }
65
66 template<typename Args>
67 void operator ()(Args const &args)
68 {
69 this->sum += numeric::pow(args[sample], N());
70 }
71
72 template<typename Args>
73 result_type result(Args const &args) const
74 {
75 return numeric::fdiv(this->sum, count(args));
76 }
77
78 // make this accumulator serializeable
79 template<class Archive>
80 void serialize(Archive & ar, const unsigned int file_version)
81 {
82 ar & sum;
83 }
84
85 private:
86 Sample sum;
87 };
88
89 } // namespace impl
90
91 ///////////////////////////////////////////////////////////////////////////////
92 // tag::moment
93 //
94 namespace tag
95 {
96 template<int N>
97 struct moment
98 : depends_on<count>
99 {
100 /// INTERNAL ONLY
101 ///
102 typedef accumulators::impl::moment_impl<mpl::int_<N>, mpl::_1> impl;
103 };
104 }
105
106 ///////////////////////////////////////////////////////////////////////////////
107 // extract::moment
108 //
109 namespace extract
110 {
111 BOOST_ACCUMULATORS_DEFINE_EXTRACTOR(tag, moment, (int))
112 }
113
114 using extract::moment;
115
116 // So that moment<N> can be automatically substituted with
117 // weighted_moment<N> when the weight parameter is non-void
118 template<int N>
119 struct as_weighted_feature<tag::moment<N> >
120 {
121 typedef tag::weighted_moment<N> type;
122 };
123
124 template<int N>
125 struct feature_of<tag::weighted_moment<N> >
126 : feature_of<tag::moment<N> >
127 {
128 };
129
130 }} // namespace boost::accumulators
131
132 #endif