BAN: Rewrite heap sort
Heap sort is now more close to gnulibc++ version. This is just more simplified version.
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2b927b9729
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@ -44,7 +44,7 @@ namespace BAN::sort
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template<typename It, typename Comp = less<typename It::value_type>>
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void quick_sort(It begin, It end, Comp comp = {})
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{
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if (begin == end || next(begin, 1) == end)
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if (distance(begin, end) <= 1)
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return;
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It mid = detail::partition(begin, end, comp);
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quick_sort(begin, mid, comp);
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@ -54,7 +54,7 @@ namespace BAN::sort
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template<typename It, typename Comp = less<typename It::value_type>>
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void insertion_sort(It begin, It end, Comp comp = {})
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{
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if (begin == end || next(begin, 1) == end)
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if (distance(begin, end) <= 1)
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return;
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for (It it1 = next(begin, 1); it1 != end; ++it1)
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{
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@ -66,39 +66,87 @@ namespace BAN::sort
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}
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}
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namespace detail
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{
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template<typename It, typename Comp>
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void push_heap(It begin, size_t hole_index, size_t top_index, typename It::value_type value, Comp comp)
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{
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size_t parent = (hole_index - 1) / 2;
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while (hole_index > top_index && comp(*next(begin, parent), value))
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{
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*next(begin, hole_index) = move(*next(begin, parent));
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hole_index = parent;
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parent = (hole_index - 1) / 2;
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}
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*next(begin, hole_index) = move(value);
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}
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template<typename It, typename Comp>
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void adjust_heap(It begin, size_t hole_index, size_t len, typename It::value_type value, Comp comp)
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{
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const size_t top_index = hole_index;
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size_t child = hole_index;
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while (child < (len - 1) / 2)
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{
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child = 2 * (child + 1);
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if (comp(*next(begin, child), *next(begin, child - 1)))
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child--;
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*next(begin, hole_index) = move(*next(begin, child));
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hole_index = child;
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}
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if (len % 2 == 0 && child == (len - 2) / 2)
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{
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child = 2 * (child + 1);
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*next(begin, hole_index) = move(*next(begin, child - 1));
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hole_index = child - 1;
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}
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push_heap(begin, hole_index, top_index, move(value), comp);
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}
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}
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template<typename It, typename Comp = less<typename It::value_type>>
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void make_heap(It begin, It end, Comp comp = {})
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{
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const size_t len = distance(begin, end);
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if (len <= 1)
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return;
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size_t parent = (len - 2) / 2;
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while (true)
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{
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detail::adjust_heap(begin, parent, len, move(*next(begin, parent)), comp);
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if (parent == 0)
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break;
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parent--;
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}
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}
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template<typename It, typename Comp = less<typename It::value_type>>
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void sort_heap(It begin, It end, Comp comp = {})
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{
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const size_t len = distance(begin, end);
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if (len <= 1)
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return;
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size_t last = len;
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while (last > 1)
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{
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last--;
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typename It::value_type x = move(*next(begin, last));
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*next(begin, last) = move(*begin);
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detail::adjust_heap(begin, 0, last, move(x), comp);
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}
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}
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template<typename It, typename Comp = less<typename It::value_type>>
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void heap_sort(It begin, It end, Comp comp = {})
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{
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if (begin == end || next(begin, 1) == end)
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return;
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It start = next(begin, distance(begin, end) / 2);
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while (prev(end, 1) != begin)
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{
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if (start != begin)
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--start;
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else
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swap(*(--end), *begin);
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It root = start;
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while (true)
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{
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size_t left_child = 2 * distance(begin, root) + 1;
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if (left_child >= distance(begin, end))
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break;
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It child = next(begin, left_child);
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if (next(child, 1) != end && comp(*child, *next(child, 1)))
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++child;
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if (!comp(*root, *child))
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break;
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swap(*root, *child);
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root = child;
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}
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}
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make_heap(begin, end, comp);
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sort_heap(begin, end, comp);
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}
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namespace detail
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@ -107,7 +155,7 @@ namespace BAN::sort
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template<typename It, typename Comp>
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void intro_sort_impl(It begin, It end, size_t max_depth, Comp comp)
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{
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if (distance(begin, end) < 16)
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if (distance(begin, end) <= 16)
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return insertion_sort(begin, end, comp);
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if (max_depth == 0)
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return heap_sort(begin, end, comp);
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@ -121,14 +169,16 @@ namespace BAN::sort
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template<typename It, typename Comp = less<typename It::value_type>>
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void intro_sort(It begin, It end, Comp comp = {})
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{
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size_t max_depth = Math::ilog2(distance(begin, end));
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detail::intro_sort_impl(begin, end, max_depth, comp);
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const size_t len = distance(begin, end);
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if (len <= 1)
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return;
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detail::intro_sort_impl(begin, end, 2 * Math::ilog2(len), comp);
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}
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template<typename It, typename Comp = less<typename It::value_type>>
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void sort(It begin, It end, Comp comp = {})
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{
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return sort::intro_sort(begin, end, comp);
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return intro_sort(begin, end, comp);
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}
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}
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