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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>
pow(T const & x,mpl::int_<1>)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>
pow(T const & x,mpl::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>
moment_implboost::accumulators::impl::moment_impl61         moment_impl(Args const &args)
62           : sum(args[sample | Sample()])
63         {
64         }
65 
66         template<typename Args>
operator ()boost::accumulators::impl::moment_impl67         void operator ()(Args const &args)
68         {
69             this->sum += numeric::pow(args[sample], N());
70         }
71 
72         template<typename Args>
resultboost::accumulators::impl::moment_impl73         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>
serializeboost::accumulators::impl::moment_impl80         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
133