heap_sort.h

// Copyright (c) 2013 Craig Henderson
// https://github.com/cdmh/sorting_algorithms

#pragma once

#include "sort.h"
#include <algorithm>    // make_heap

namespace cdmh {

// Heap Sort
//     Worst case performance       O(n log n)
//     Best case performance        Omega(n), O(n log n)
//     Average case performance	    O(n log n)
//     Worst case space complexity  O(n) total, O(1) auxiliary
// http://en.wikipedia.org/wiki/Heapsort

template<typename It, typename Pred=std::less<typename std::iterator_traits<It>::value_type>>
inline void heap_sort(It begin, It end, Pred pred=Pred())
{
    std::make_heap(begin, end, pred);
    std::sort_heap(begin, end, pred);
}

}   // namespace cdmh

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