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    /**
    
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     * \brief  Definition of the quicksort function.
     *
     * \copyright
    
     * Copyright (c) 2012-2017, OpenGeoSys Community (http://www.opengeosys.org)
    
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     *            Distributed under a Modified BSD License.
     *              See accompanying file LICENSE.txt or
    
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     *              http://www.opengeosys.org/project/license
    
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     *
    
     */
    
    #ifndef QUICKSORT_H_
    #define QUICKSORT_H_
    
    
    #include <algorithm>
    
    #include <iterator>
    
    /// @pre {end<=array.size() and perm.size()==array.size()}
    
    template <typename T1, typename T2 = std::size_t>
    
    void quicksort(T1* array, std::size_t beg, std::size_t end, T2* perm)
    
        assert (beg <= end);
    
        // Zip input arrays.
        std::vector<std::pair<T1, T2>> data;
        data.reserve(end-beg);
        std::transform(array+beg, array+end, perm+beg,
            std::back_inserter(data),
            [](T1 const& t1, T2 const& t2)
            {
                return std::make_pair(t1, t2);
            });
    
        // Sort data using first element of the pair.
        std::sort(data.begin(), data.end(),
            [](std::pair<T1, T2> const& a, std::pair<T1, T2> const& b)
            {
                return (a.first < b.first);
            });
    
        // Unzip sorted data.
        for (std::size_t i = 0; i < data.size(); i++)
        {
            array[beg+i] = data[i].first;
            perm[beg+i] = data[i].second;
        }
    
    
    template <typename T1, typename T2 = std::size_t>
    
    void quicksort(std::vector<T1>& array, std::size_t beg, std::size_t end, std::vector<T2>& perm)
    {
    
        assert (beg<=end);
        assert (end<=array.size());
        assert (perm.size()==array.size());
    
        quicksort(array.data(), beg, end, perm.data());
    
    }
    
    template <typename T1, typename T2 = std::size_t>
    void quicksort(std::vector<T1*>& array, std::size_t beg, std::size_t end, std::vector<T2>& perm)
    
        assert (beg<=end);
        assert (end<=array.size());
        assert (perm.size()==array.size());
    
        // Zip input arrays.
        std::vector<std::pair<T1*, T2>> data;
        data.reserve(end-beg);
        std::transform(array.begin()+beg, array.begin()+end, perm.begin()+beg,
            std::back_inserter(data),
            [](T1* const& t1, T2 const& t2)
            {
                return std::make_pair(t1, t2);
            });
    
        // Sort data using first element of the pair.
        std::sort(data.begin(), data.end(),
            [](std::pair<T1*, T2> const& a, std::pair<T1*, T2> const& b)
            {
                return (*a.first < *b.first);
            });
    
        // Unzip sorted data.
        for (std::size_t i = 0; i < data.size(); i++)
        {
            array[beg+i] = data[i].first;
            perm[beg+i] = data[i].second;
        }
    
    } // end namespace BaseLib
    
    
    #endif /* QUICKSORT_H_ */