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@@ -1,7 +1,7 @@
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/*
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pdqsort.h - Pattern-defeating quicksort.
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- Copyright (c) 2015 Orson Peters
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+ Copyright (c) 2021 Orson Peters
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This software is provided 'as-is', without any express or implied warranty. In no event will the
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authors be held liable for any damages arising from the use of this software.
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@@ -174,18 +174,18 @@ namespace pdqsort_detail {
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template<class Iter>
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inline void swap_offsets(Iter first, Iter last,
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unsigned char* offsets_l, unsigned char* offsets_r,
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- int num, bool use_swaps) {
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+ size_t num, bool use_swaps) {
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typedef typename std::iterator_traits<Iter>::value_type T;
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if (use_swaps) {
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// This case is needed for the descending distribution, where we need
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// to have proper swapping for pdqsort to remain O(n).
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- for (int i = 0; i < num; ++i) {
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+ for (size_t i = 0; i < num; ++i) {
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std::iter_swap(first + offsets_l[i], last - offsets_r[i]);
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}
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} else if (num > 0) {
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Iter l = first + offsets_l[0]; Iter r = last - offsets_r[0];
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T tmp(PDQSORT_PREFER_MOVE(*l)); *l = PDQSORT_PREFER_MOVE(*r);
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- for (int i = 1; i < num; ++i) {
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+ for (size_t i = 1; i < num; ++i) {
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l = first + offsets_l[i]; *r = PDQSORT_PREFER_MOVE(*l);
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r = last - offsets_r[i]; *l = PDQSORT_PREFER_MOVE(*r);
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}
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@@ -222,108 +222,94 @@ namespace pdqsort_detail {
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if (!already_partitioned) {
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std::iter_swap(first, last);
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++first;
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- }
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- // The following branchless partitioning is derived from "BlockQuicksort: How Branch
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- // Mispredictions don’t affect Quicksort" by Stefan Edelkamp and Armin Weiss.
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- unsigned char offsets_l_storage[block_size + cacheline_size];
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- unsigned char offsets_r_storage[block_size + cacheline_size];
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- unsigned char* offsets_l = align_cacheline(offsets_l_storage);
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- unsigned char* offsets_r = align_cacheline(offsets_r_storage);
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- int num_l, num_r, start_l, start_r;
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- num_l = num_r = start_l = start_r = 0;
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-
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- while (last - first > 2 * block_size) {
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- // Fill up offset blocks with elements that are on the wrong side.
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- if (num_l == 0) {
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- start_l = 0;
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- Iter it = first;
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- for (unsigned char i = 0; i < block_size;) {
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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- }
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- }
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- if (num_r == 0) {
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- start_r = 0;
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- Iter it = last;
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- for (unsigned char i = 0; i < block_size;) {
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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+ // The following branchless partitioning is derived from "BlockQuicksort: How Branch
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+ // Mispredictions don’t affect Quicksort" by Stefan Edelkamp and Armin Weiss, but
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+ // heavily micro-optimized.
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+ unsigned char offsets_l_storage[block_size + cacheline_size];
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+ unsigned char offsets_r_storage[block_size + cacheline_size];
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+ unsigned char* offsets_l = align_cacheline(offsets_l_storage);
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+ unsigned char* offsets_r = align_cacheline(offsets_r_storage);
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+
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+ Iter offsets_l_base = first;
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+ Iter offsets_r_base = last;
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+ size_t num_l, num_r, start_l, start_r;
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+ num_l = num_r = start_l = start_r = 0;
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+
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+ while (first < last) {
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+ // Fill up offset blocks with elements that are on the wrong side.
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+ // First we determine how much elements are considered for each offset block.
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+ size_t num_unknown = last - first;
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+ size_t left_split = num_l == 0 ? (num_r == 0 ? num_unknown / 2 : num_unknown) : 0;
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+ size_t right_split = num_r == 0 ? (num_unknown - left_split) : 0;
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+
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+ // Fill the offset blocks.
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+ if (left_split >= block_size) {
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+ for (size_t i = 0; i < block_size;) {
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ }
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+ } else {
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+ for (size_t i = 0; i < left_split;) {
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+ offsets_l[num_l] = i++; num_l += !comp(*first, pivot); ++first;
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+ }
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}
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- }
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- // Swap elements and update block sizes and first/last boundaries.
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- int num = std::min(num_l, num_r);
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- swap_offsets(first, last, offsets_l + start_l, offsets_r + start_r,
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- num, num_l == num_r);
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- num_l -= num; num_r -= num;
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- start_l += num; start_r += num;
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- if (num_l == 0) first += block_size;
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- if (num_r == 0) last -= block_size;
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- }
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+ if (right_split >= block_size) {
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+ for (size_t i = 0; i < block_size;) {
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ }
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+ } else {
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+ for (size_t i = 0; i < right_split;) {
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+ offsets_r[num_r] = ++i; num_r += comp(*--last, pivot);
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+ }
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+ }
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- int l_size = 0, r_size = 0;
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- int unknown_left = (int)(last - first) - ((num_r || num_l) ? block_size : 0);
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- if (num_r) {
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- // Handle leftover block by assigning the unknown elements to the other block.
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- l_size = unknown_left;
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- r_size = block_size;
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- } else if (num_l) {
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- l_size = block_size;
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- r_size = unknown_left;
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- } else {
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- // No leftover block, split the unknown elements in two blocks.
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- l_size = unknown_left/2;
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- r_size = unknown_left - l_size;
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- }
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+ // Swap elements and update block sizes and first/last boundaries.
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+ size_t num = std::min(num_l, num_r);
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+ swap_offsets(offsets_l_base, offsets_r_base,
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+ offsets_l + start_l, offsets_r + start_r,
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+ num, num_l == num_r);
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+ num_l -= num; num_r -= num;
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+ start_l += num; start_r += num;
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+
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+ if (num_l == 0) {
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+ start_l = 0;
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+ offsets_l_base = first;
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+ }
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+
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+ if (num_r == 0) {
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+ start_r = 0;
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+ offsets_r_base = last;
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+ }
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+ }
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- // Fill offset buffers if needed.
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- if (unknown_left && !num_l) {
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- start_l = 0;
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- Iter it = first;
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- for (unsigned char i = 0; i < l_size;) {
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- offsets_l[num_l] = i++; num_l += !comp(*it, pivot); ++it;
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+ // We have now fully identified [first, last)'s proper position. Swap the last elements.
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+ if (num_l) {
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+ offsets_l += start_l;
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+ while (num_l--) std::iter_swap(offsets_l_base + offsets_l[num_l], --last);
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+ first = last;
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}
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- }
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- if (unknown_left && !num_r) {
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- start_r = 0;
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- Iter it = last;
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- for (unsigned char i = 0; i < r_size;) {
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- offsets_r[num_r] = ++i; num_r += comp(*--it, pivot);
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+ if (num_r) {
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+ offsets_r += start_r;
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+ while (num_r--) std::iter_swap(offsets_r_base - offsets_r[num_r], first), ++first;
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+ last = first;
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}
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}
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- int num = std::min(num_l, num_r);
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- swap_offsets(first, last, offsets_l + start_l, offsets_r + start_r, num, num_l == num_r);
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- num_l -= num; num_r -= num;
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- start_l += num; start_r += num;
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- if (num_l == 0) first += l_size;
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- if (num_r == 0) last -= r_size;
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-
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- // We have now fully identified [first, last)'s proper position. Swap the last elements.
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- if (num_l) {
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- offsets_l += start_l;
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- while (num_l--) std::iter_swap(first + offsets_l[num_l], --last);
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- first = last;
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- }
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- if (num_r) {
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- offsets_r += start_r;
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- while (num_r--) std::iter_swap(last - offsets_r[num_r], first), ++first;
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- last = first;
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- }
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-
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// Put the pivot in the right place.
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Iter pivot_pos = first - 1;
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*begin = PDQSORT_PREFER_MOVE(*pivot_pos);
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@@ -332,6 +318,8 @@ namespace pdqsort_detail {
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return std::make_pair(pivot_pos, already_partitioned);
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}
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+
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+
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// Partitions [begin, end) around pivot *begin using comparison function comp. Elements equal
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// to the pivot are put in the right-hand partition. Returns the position of the pivot after
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// partitioning and whether the passed sequence already was correctly partitioned. Assumes the
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