CRNOutliers.h

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/* Copyright 2014-2015 INSA-Lyon, Université Paris Descartes
 * 
 * This file is part of libcrn.
 * 
 * libcrn is free software: you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 * 
 * libcrn is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU Lesser General Public License for more details.
 * 
 * You should have received a copy of the GNU Lesser General Public License
 * along with libcrn.  If not, see <http://www.gnu.org/licenses/>.
 * 
 * file: CRNOutliers.h
 * \author Yann LEYDIER
 */

#ifndef CRNOutliers_HEADER
#define CRNOutliers_HEADER

#include <CRNException.h>
#include <CRNMath/CRNMath.h>
#include <vector>
#include <map>
#include <set>
#include <limits>

namespace crn
{
    class SquareMatrixDouble;

    std::vector<double> ComputeLOF(const SquareMatrixDouble &distmat, size_t k);
    std::vector<double> ComputeLOF(const std::vector<std::vector<double>> &distmat, size_t k);

    std::vector<double> ComputeLoOP(const SquareMatrixDouble &distmat, size_t k, double lambda);
    std::vector<double> ComputeLoOP(const std::vector<std::vector<double>> &distmat, size_t k, double lambda);

    template<typename ITER> std::vector<double> AngularOutliersE(ITER beg, ITER en)
    {
        if (beg == en)
            throw ExceptionDomain("AngularOutliersE(): empty set of angles.");
        auto c = 0.0, s = 0.0;
        for (auto it = beg; it != en; ++it)
        {
            c += Cos(*it);
            s += Sin(*it);
        }
        auto e = std::vector<double>(std::distance(beg, en));
        const auto n = double(e.size());
        const auto cr = 1.0 - sqrt(Sqr(c / n) + Sqr(s / n));
        auto cnt = size_t(0);
        for (auto it = beg; it != en; ++it, ++cnt)
            e[cnt] = (1.0 - sqrt(Sqr((c - Cos(*it)) / (n - 1)) + Sqr((s - Sin(*it)) / (n - 1)))) / (cr);
        return e;
    }

    template<typename ITER> std::vector<double> AngularOutliersC(ITER beg, ITER en)
    {
        if (beg == en)
            throw ExceptionDomain("AngularOutliersC(): empty set of angles.");
        auto c = 0.0, s = 0.0;
        for (auto it = beg; it != en; ++it)
        {
            c += Cos(*it);
            s += Sin(*it);
        }
        auto C = std::vector<double>(std::distance(beg, en));
        const auto n = double(C.size());
        const auto r = sqrt(Sqr(c / n) + Sqr(s / n));
        auto cnt = size_t(0);
        for (auto it = beg; it != en; ++it, ++cnt)
            C[cnt] = sqrt(Sqr((c - Cos(*it)) / (n - 1)) + Sqr((s - Sin(*it)) / (n - 1))) / r;
        return C;
    }

}

#endif