From 1e0ee9095ce87a3cee0b44a120f6297ac672f5d0 Mon Sep 17 00:00:00 2001 From: Martin Ankerl Date: Fri, 29 Dec 2017 11:36:11 +0100 Subject: [PATCH] Use best-fit strategy in Arena, now O(log(n)) instead O(n) This replaces the first-fit algorithm used in the Arena with a best-fit. According to "Dynamic Storage Allocation: A Survey and Critical Review", Wilson et. al. 1995, http://www.scs.stanford.edu/14wi-cs140/sched/readings/wilson.pdf, both startegies work well in practice. The advantage of using best-fit is that we can switch the slow O(n) algorithm to O(log(n)) operations. Additionally, some previously O(log(n)) operations are now replaced with O(1) operations by using a hash map. The end effect is that the benchmark runs about 2.5 times faster on my machine: old: BenchLockedPool, 5, 530, 5.25749, 0.00196938, 0.00199755, 0.00198172 new: BenchLockedPool, 5, 1300, 5.11313, 0.000781493, 0.000793314, 0.00078606 I've run all unit tests and benchmarks. --- src/bench/lockedpool.cpp | 2 +- src/support/lockedpool.cpp | 70 ++++++++++++++++++++++++-------------- src/support/lockedpool.h | 19 ++++++++--- 3 files changed, 60 insertions(+), 31 deletions(-) diff --git a/src/bench/lockedpool.cpp b/src/bench/lockedpool.cpp index 914e37a2e..8b7fe5f60 100644 --- a/src/bench/lockedpool.cpp +++ b/src/bench/lockedpool.cpp @@ -43,4 +43,4 @@ static void BenchLockedPool(benchmark::State& state) addr.clear(); } -BENCHMARK(BenchLockedPool, 530); +BENCHMARK(BenchLockedPool, 1300); diff --git a/src/support/lockedpool.cpp b/src/support/lockedpool.cpp index 98e869418..ddb84b652 100644 --- a/src/support/lockedpool.cpp +++ b/src/support/lockedpool.cpp @@ -47,7 +47,9 @@ Arena::Arena(void *base_in, size_t size_in, size_t alignment_in): base(static_cast(base_in)), end(static_cast(base_in) + size_in), alignment(alignment_in) { // Start with one free chunk that covers the entire arena - chunks_free.emplace(base, size_in); + auto it = size_to_free_chunk.emplace(size_in, base); + chunks_free.emplace(base, it); + chunks_free_end.emplace(base + size_in, it); } Arena::~Arena() @@ -63,26 +65,30 @@ void* Arena::alloc(size_t size) if (size == 0) return nullptr; - // Pick a large enough free-chunk - auto it = std::find_if(chunks_free.begin(), chunks_free.end(), - [=](const std::map::value_type& chunk){ return chunk.second >= size; }); - if (it == chunks_free.end()) + // Pick a large enough free-chunk. Returns an iterator pointing to the first element that is not less than key. + // This allocation strategy is best-fit. According to "Dynamic Storage Allocation: A Survey and Critical Review", + // Wilson et. al. 1995, http://www.scs.stanford.edu/14wi-cs140/sched/readings/wilson.pdf, best-fit and first-fit + // policies seem to work well in practice. + auto sizePtrIt = size_to_free_chunk.lower_bound(size); + if (sizePtrIt == size_to_free_chunk.end()) return nullptr; // Create the used-chunk, taking its space from the end of the free-chunk - auto alloced = chunks_used.emplace(it->first + it->second - size, size).first; - if (!(it->second -= size)) - chunks_free.erase(it); - return reinterpret_cast(alloced->first); -} - -/* extend the Iterator if other begins at its end */ -template bool extend(Iterator it, const Pair& other) { - if (it->first + it->second == other.first) { - it->second += other.second; - return true; + const size_t sizeRemaining = sizePtrIt->first - size; + auto alloced = chunks_used.emplace(sizePtrIt->second + sizeRemaining, size).first; + chunks_free_end.erase(sizePtrIt->second + sizePtrIt->first); + if (sizePtrIt->first == size) { + // whole chunk is used up + chunks_free.erase(sizePtrIt->second); + } else { + // still some memory left in the chunk + auto itRemaining = size_to_free_chunk.emplace(sizeRemaining, sizePtrIt->second); + chunks_free[sizePtrIt->second] = itRemaining; + chunks_free_end.emplace(sizePtrIt->second + sizeRemaining, itRemaining); } - return false; + size_to_free_chunk.erase(sizePtrIt); + + return reinterpret_cast(alloced->first); } void Arena::free(void *ptr) @@ -97,16 +103,30 @@ void Arena::free(void *ptr) if (i == chunks_used.end()) { throw std::runtime_error("Arena: invalid or double free"); } - auto freed = *i; + std::pair freed = *i; chunks_used.erase(i); - // Add space to free map, coalescing contiguous chunks - auto next = chunks_free.upper_bound(freed.first); - auto prev = (next == chunks_free.begin()) ? chunks_free.end() : std::prev(next); - if (prev == chunks_free.end() || !extend(prev, freed)) - prev = chunks_free.emplace_hint(next, freed); - if (next != chunks_free.end() && extend(prev, *next)) + // Coalesc freed with previous chunk + auto prev = chunks_free_end.find(freed.first); + if (prev != chunks_free_end.end()) { + freed.first -= prev->second->first; + freed.second += prev->second->first; + size_to_free_chunk.erase(prev->second); + chunks_free_end.erase(prev); + } + + // Coalesc freed with chunk after freed + auto next = chunks_free.find(freed.first + freed.second); + if (next != chunks_free.end()) { + freed.second += next->second->first; + size_to_free_chunk.erase(next->second); chunks_free.erase(next); + } + + // Add/set space with coalesced free chunk + auto it = size_to_free_chunk.emplace(freed.second, freed.first); + chunks_free[freed.first] = it; + chunks_free_end[freed.first + freed.second] = it; } Arena::Stats Arena::stats() const @@ -115,7 +135,7 @@ Arena::Stats Arena::stats() const for (const auto& chunk: chunks_used) r.used += chunk.second; for (const auto& chunk: chunks_free) - r.free += chunk.second; + r.free += chunk.second->first; r.total = r.used + r.free; return r; } diff --git a/src/support/lockedpool.h b/src/support/lockedpool.h index 834f0371e..3b6f82c6c 100644 --- a/src/support/lockedpool.h +++ b/src/support/lockedpool.h @@ -10,6 +10,7 @@ #include #include #include +#include /** * OS-dependent allocation and deallocation of locked/pinned memory pages. @@ -88,11 +89,19 @@ public: */ bool addressInArena(void *ptr) const { return ptr >= base && ptr < end; } private: - /** Map of chunk address to chunk information. This class makes use of the - * sorted order to merge previous and next chunks during deallocation. - */ - std::map chunks_free; - std::map chunks_used; + typedef std::multimap SizeToChunkSortedMap; + /** Map to enable O(log(n)) best-fit allocation, as it's sorted by size */ + SizeToChunkSortedMap size_to_free_chunk; + + typedef std::unordered_map ChunkToSizeMap; + /** Map from begin of free chunk to its node in size_to_free_chunk */ + ChunkToSizeMap chunks_free; + /** Map from end of free chunk to its node in size_to_free_chunk */ + ChunkToSizeMap chunks_free_end; + + /** Map from begin of used chunk to its size */ + std::unordered_map chunks_used; + /** Base address of arena */ char* base; /** End address of arena */