FM / statistics

/usr/include/boost/accumulators/statistics/

/usr/include/boost/accumulators/statistics

Name	Size	Mode	Actions
parameters/	-	0755	rm
variates/	-	0755	rm
count.hpp	2013	0644	edit dl rm
covariance.hpp	7137	0644	edit dl rm
density.hpp	10007	0644	edit dl rm
error_of.hpp	2588	0644	edit dl rm
error_of_mean.hpp	2193	0644	edit dl rm
extended_p_square.hpp	11633	0644	edit dl rm
extended_p_square_quantile.hpp	12522	0644	edit dl rm
kurtosis.hpp	3864	0644	edit dl rm
max.hpp	2294	0644	edit dl rm
mean.hpp	9334	0644	edit dl rm
median.hpp	10242	0644	edit dl rm
min.hpp	2294	0644	edit dl rm
moment.hpp	3436	0644	edit dl rm
peaks_over_threshold.hpp	17525	0644	edit dl rm
pot_quantile.hpp	7336	0644	edit dl rm
pot_tail_mean.hpp	7802	0644	edit dl rm
p_square_cumulative_distribution.hpp	955	0644	edit dl rm
p_square_cumul_dist.hpp	10365	0644	edit dl rm
p_square_quantile.hpp	10086	0644	edit dl rm
rolling_count.hpp	2574	0644	edit dl rm
rolling_mean.hpp	6753	0644	edit dl rm
rolling_moment.hpp	3741	0644	edit dl rm
rolling_sum.hpp	2871	0644	edit dl rm
rolling_variance.hpp	9486	0644	edit dl rm
rolling_window.hpp	7254	0644	edit dl rm
skewness.hpp	3691	0644	edit dl rm
stats.hpp	972	0644	edit dl rm
sum.hpp	3884	0644	edit dl rm
sum_kahan.hpp	5104	0644	edit dl rm
tail.hpp	11012	0644	edit dl rm
tail_mean.hpp	9158	0644	edit dl rm
tail_quantile.hpp	5535	0644	edit dl rm
tail_variate.hpp	4504	0644	edit dl rm
tail_variate_means.hpp	10463	0644	edit dl rm
times2_iterator.hpp	1965	0644	edit dl rm
variance.hpp	7522	0644	edit dl rm
weighted_covariance.hpp	5244	0644	edit dl rm
weighted_density.hpp	9518	0644	edit dl rm
weighted_extended_p_square.hpp	12842	0644	edit dl rm
weighted_kurtosis.hpp	4147	0644	edit dl rm
weighted_mean.hpp	6637	0644	edit dl rm
weighted_median.hpp	8667	0644	edit dl rm
weighted_moment.hpp	3384	0644	edit dl rm
weighted_peaks_over_threshold.hpp	12352	0644	edit dl rm
weighted_p_square_cumulative_distribution.hpp	1009	0644	edit dl rm
weighted_p_square_cumul_dist.hpp	11058	0644	edit dl rm
weighted_p_square_quantile.hpp	11110	0644	edit dl rm
weighted_skewness.hpp	3844	0644	edit dl rm
weighted_sum.hpp	3639	0644	edit dl rm
weighted_sum_kahan.hpp	4559	0644	edit dl rm
weighted_tail_mean.hpp	5788	0644	edit dl rm
weighted_tail_quantile.hpp	5135	0644	edit dl rm
weighted_tail_variate_means.hpp	10052	0644	edit dl rm
weighted_variance.hpp	6774	0644	edit dl rm
with_error.hpp	1277	0644	edit dl rm

Edit: /usr/include/boost/accumulators/statistics/median.hpp (10242B)

///////////////////////////////////////////////////////////////////////////////
// median.hpp
//
//  Copyright 2006 Eric Niebler, Olivier Gygi. Distributed under the Boost
//  Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

#ifndef BOOST_ACCUMULATORS_STATISTICS_MEDIAN_HPP_EAN_28_10_2005
#define BOOST_ACCUMULATORS_STATISTICS_MEDIAN_HPP_EAN_28_10_2005

#include <boost/mpl/placeholders.hpp>
#include <boost/range/iterator_range.hpp>
#include <boost/accumulators/framework/accumulator_base.hpp>
#include <boost/accumulators/framework/extractor.hpp>
#include <boost/accumulators/numeric/functional.hpp>
#include <boost/accumulators/framework/parameters/sample.hpp>
#include <boost/accumulators/framework/depends_on.hpp>
#include <boost/accumulators/statistics_fwd.hpp>
#include <boost/accumulators/statistics/count.hpp>
#include <boost/accumulators/statistics/p_square_quantile.hpp>
#include <boost/accumulators/statistics/density.hpp>
#include <boost/accumulators/statistics/p_square_cumul_dist.hpp>

namespace boost { namespace accumulators
{

namespace impl
{
    ///////////////////////////////////////////////////////////////////////////////
    // median_impl
    //
    /**
        @brief Median estimation based on the \f$P^2\f$ quantile estimator

The \f$P^2\f$ algorithm is invoked with a quantile probability of 0.5.
    */
    template<typename Sample>
    struct median_impl
      : accumulator_base
    {
        // for boost::result_of
        typedef typename numeric::functional::fdiv<Sample, std::size_t>::result_type result_type;

median_impl(dont_care) {}

template<typename Args>
        result_type result(Args const &args) const
        {
            return p_square_quantile_for_median(args);
        }
        
        // serialization is done by accumulators it depends on
        template<class Archive>
        void serialize(Archive & ar, const unsigned int file_version) {}
    };
    ///////////////////////////////////////////////////////////////////////////////
    // with_density_median_impl
    //
    /**
        @brief Median estimation based on the density estimator

The algorithm determines the bin in which the \f$0.5*cnt\f$-th sample lies, \f$cnt\f$ being
        the total number of samples. It returns the approximate horizontal position of this sample,
        based on a linear interpolation inside the bin.
    */
    template<typename Sample>
    struct with_density_median_impl
      : accumulator_base
    {
        typedef typename numeric::functional::fdiv<Sample, std::size_t>::result_type float_type;
        typedef std::vector<std::pair<float_type, float_type> > histogram_type;
        typedef iterator_range<typename histogram_type::iterator> range_type;
        // for boost::result_of
        typedef float_type result_type;

template<typename Args>
        with_density_median_impl(Args const &args)
          : sum(numeric::fdiv(args[sample | Sample()], (std::size_t)1))
          , is_dirty(true)
        {
        }

void operator ()(dont_care)
        {
            this->is_dirty = true;
        }

template<typename Args>
        result_type result(Args const &args) const
        {
            if (this->is_dirty)
            {
                this->is_dirty = false;

std::size_t cnt = count(args);
                range_type histogram = density(args);
                typename range_type::iterator it = histogram.begin();
                while (this->sum < 0.5 * cnt)
                {
                    this->sum += it->second * cnt;
                    ++it;
                }
                --it;
                float_type over = numeric::fdiv(this->sum - 0.5 * cnt, it->second * cnt);
                this->median = it->first * over + (it + 1)->first * (1. - over);
            }

return this->median;
        }

// make this accumulator serializeable
        template<class Archive>
        void serialize(Archive & ar, const unsigned int file_version)
        { 
            ar & sum;
            ar & is_dirty;
            ar & median;
        }

private:
        mutable float_type sum;
        mutable bool is_dirty;
        mutable float_type median;
    };

///////////////////////////////////////////////////////////////////////////////
    // with_p_square_cumulative_distribution_median_impl
    //
    /**
        @brief Median estimation based on the \f$P^2\f$ cumulative distribution estimator

The algorithm determines the first (leftmost) bin with a height exceeding 0.5. It
        returns the approximate horizontal position of where the cumulative distribution
        equals 0.5, based on a linear interpolation inside the bin.
    */
    template<typename Sample>
    struct with_p_square_cumulative_distribution_median_impl
      : accumulator_base
    {
        typedef typename numeric::functional::fdiv<Sample, std::size_t>::result_type float_type;
        typedef std::vector<std::pair<float_type, float_type> > histogram_type;
        typedef iterator_range<typename histogram_type::iterator> range_type;
        // for boost::result_of
        typedef float_type result_type;

with_p_square_cumulative_distribution_median_impl(dont_care)
          : is_dirty(true)
        {
        }

void operator ()(dont_care)
        {
            this->is_dirty = true;
        }

template<typename Args>
        result_type result(Args const &args) const
        {
            if (this->is_dirty)
            {
                this->is_dirty = false;

range_type histogram = p_square_cumulative_distribution(args);
                typename range_type::iterator it = histogram.begin();
                while (it->second < 0.5)
                {
                    ++it;
                }
                float_type over = numeric::fdiv(it->second - 0.5, it->second - (it - 1)->second);
                this->median = it->first * over + (it + 1)->first * ( 1. - over );
            }

return this->median;
        }
        
        // make this accumulator serializeable
        template<class Archive>
        void serialize(Archive & ar, const unsigned int file_version)
        { 
            ar & is_dirty;
            ar & median;
        }

private:

mutable bool is_dirty;
        mutable float_type median;
    };

} // namespace impl

///////////////////////////////////////////////////////////////////////////////
// tag::median
// tag::with_densisty_median
// tag::with_p_square_cumulative_distribution_median
//
namespace tag
{
    struct median
      : depends_on<p_square_quantile_for_median>
    {
        /// INTERNAL ONLY
        ///
        typedef accumulators::impl::median_impl<mpl::_1> impl;
    };
    struct with_density_median
      : depends_on<count, density>
    {
        /// INTERNAL ONLY
        ///
        typedef accumulators::impl::with_density_median_impl<mpl::_1> impl;
    };
    struct with_p_square_cumulative_distribution_median
      : depends_on<p_square_cumulative_distribution>
    {
        /// INTERNAL ONLY
        ///
        typedef accumulators::impl::with_p_square_cumulative_distribution_median_impl<mpl::_1> impl;
    };
}

///////////////////////////////////////////////////////////////////////////////
// extract::median
// extract::with_density_median
// extract::with_p_square_cumulative_distribution_median
//
namespace extract
{
    extractor<tag::median> const median = {};
    extractor<tag::with_density_median> const with_density_median = {};
    extractor<tag::with_p_square_cumulative_distribution_median> const with_p_square_cumulative_distribution_median = {};

BOOST_ACCUMULATORS_IGNORE_GLOBAL(median)
    BOOST_ACCUMULATORS_IGNORE_GLOBAL(with_density_median)
    BOOST_ACCUMULATORS_IGNORE_GLOBAL(with_p_square_cumulative_distribution_median)
}

using extract::median;
using extract::with_density_median;
using extract::with_p_square_cumulative_distribution_median;

// median(with_p_square_quantile) -> median
template<>
struct as_feature<tag::median(with_p_square_quantile)>
{
    typedef tag::median type;
};

// median(with_density) -> with_density_median
template<>
struct as_feature<tag::median(with_density)>
{
    typedef tag::with_density_median type;
};

// median(with_p_square_cumulative_distribution) -> with_p_square_cumulative_distribution_median
template<>
struct as_feature<tag::median(with_p_square_cumulative_distribution)>
{
    typedef tag::with_p_square_cumulative_distribution_median type;
};

// for the purposes of feature-based dependency resolution,
// with_density_median and with_p_square_cumulative_distribution_median
// provide the same feature as median
template<>
struct feature_of<tag::with_density_median>
  : feature_of<tag::median>
{
};

template<>
struct feature_of<tag::with_p_square_cumulative_distribution_median>
  : feature_of<tag::median>
{
};

// So that median can be automatically substituted with
// weighted_median when the weight parameter is non-void.
template<>
struct as_weighted_feature<tag::median>
{
    typedef tag::weighted_median type;
};

template<>
struct feature_of<tag::weighted_median>
  : feature_of<tag::median>
{
};

// So that with_density_median can be automatically substituted with
// with_density_weighted_median when the weight parameter is non-void.
template<>
struct as_weighted_feature<tag::with_density_median>
{
    typedef tag::with_density_weighted_median type;
};

template<>
struct feature_of<tag::with_density_weighted_median>
  : feature_of<tag::with_density_median>
{
};

// So that with_p_square_cumulative_distribution_median can be automatically substituted with
// with_p_square_cumulative_distribution_weighted_median when the weight parameter is non-void.
template<>
struct as_weighted_feature<tag::with_p_square_cumulative_distribution_median>
{
    typedef tag::with_p_square_cumulative_distribution_weighted_median type;
};

template<>
struct feature_of<tag::with_p_square_cumulative_distribution_weighted_median>
  : feature_of<tag::with_p_square_cumulative_distribution_median>
{
};

}} // namespace boost::accumulators

#endif

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