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wtinylfu.hpp
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wtinylfu.hpp
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/* Copyright 2017 https://github.com/mandreyel
*
* Permission is hereby granted, free of charge, to any person obtaining a copy of this
* software and associated documentation files (the "Software"), to deal in the Software
* without restriction, including without limitation the rights to use, copy, modify,
* merge, publish, distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to the following
* conditions:
*
* The above copyright notice and this permission notice shall be included in all copies
* or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
* INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
* PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
* HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF
* CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE
* OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
#ifndef WTINYLFU_HEADER
#define WTINYLFU_HEADER
#include "frequency_sketch.hpp"
#include "detail.hpp"
#include <map>
#include <list>
#include <memory>
#include <cmath>
#include <cassert>
/**
* Window-TinyLFU Cache as per: https://arxiv.org/pdf/1512.00727.pdf
*
*
* Window Cache Victim .---------. Main Cache Victim
* .------------------->| TinyLFU |<-----------------.
* | `---------' |
* .-------------------. | .------------------.
* | Window Cache (1%) | | | Main Cache (99%) |
* | (LRU) | | | (SLRU) |
* `-------------------' | `------------------'
* ^ | ^
* | `---------------'
* new item Winner
*
*
* New entries are first placed in the window cache where they remain as long as they
* have high temporal locality. An entry that's pushed out of the window cache gets a
* chance to be admitted in the front of the main cache. If the main cache is full,
* the TinyLFU admission policy determines whether this entry is to replace the main
* cache's next victim based on TinyLFU's implementation defined historic frequency
* filter. Currently a 4 bit frequency sketch is employed.
*
* TinyLFU's periodic reset operation ensures that lingering entries that are no longer
* accessed are evicted.
*
* Values are stored in shared_ptr<V> instances in order to ensure memory safety when
* a cache entry is evicted while it is still being used by user.
*
* It is advised that trivially copiable, small keys be used as there persist two
* copies of each within the cache.
*
* NOTE: it is NOT thread-safe!
*/
template<
typename K,
typename V
> class wtinylfu_cache
{
enum class cache_slot
{
window,
probationary,
eden
};
struct page
{
K key;
enum cache_slot cache_slot;
std::shared_ptr<V> data;
page(K key_, enum cache_slot cache_slot_, std::shared_ptr<V> data_)
: key(std::move(key_))
, cache_slot(cache_slot_)
, data(data_)
{}
};
class lru
{
std::list<page> lru_;
int capacity_;
public:
using page_position = typename std::list<page>::iterator;
using const_page_position = typename std::list<page>::const_iterator;
explicit lru(int capacity) : capacity_(capacity) {}
int size() const noexcept { return lru_.size(); }
int capacity() const noexcept { return capacity_; }
bool is_full() const noexcept { return size() >= capacity(); }
/**
* NOTE: doesn't actually remove any pages, it only sets the capacity.
*
* This is because otherwise there'd be no way to delete the corresponding
* entries from the page map outside of this LRU instance, so this is handled
* externally.
*/
void set_capacity(const int n) noexcept { capacity_ = n; }
/** Returns the position of the hottest (most recently used) page. */
page_position mru_pos() noexcept { return lru_.begin(); }
const_page_position mru_pos() const noexcept { return lru_.begin(); }
/** Returns the position of the coldest (least recently used) page. */
page_position lru_pos() noexcept { return --lru_.end(); }
const_page_position lru_pos() const noexcept { return --lru_.end(); }
const K& victim_key() const noexcept
{
return lru_pos()->key;
}
void evict()
{
erase(lru_pos());
}
void erase(page_position page)
{
lru_.erase(page);
}
/** Inserts new page at the MRU position of the cache. */
template<typename... Args>
page_position insert(Args&&... args)
{
return lru_.emplace(mru_pos(), std::forward<Args>(args)...);
}
/** Moves page to the MRU position. */
void handle_hit(page_position page)
{
transfer_page_from(page, *this);
}
/** Moves page from $source to the MRU position of this cache. */
void transfer_page_from(page_position page, lru& source)
{
lru_.splice(mru_pos(), source.lru_, page);
}
};
/**
* A cache which is divided into two segments, a probationary and an eden
* segment. Both are LRU caches.
*
* Pages that are cache hits are promoted to the top (MRU position) of the eden
* segment, regardless of the segment in which they currently reside. Thus, pages
* within the eden segment have been accessed at least twice.
*
* Pages that are cache misses are added to the cache at the MRU position of the
* probationary segment.
*
* Each segment is finite in size, so the migration of a page from the probationary
* segment may force the LRU page of the eden segment into the MRU position of
* the probationary segment, giving it another chance. Likewise, if both segments
* reach their capacity, a new entry is replaced with the LRU victim of the
* probationary segment.
*
* In this implementation 80% of the capacity is allocated to the eden (or "hot")
* pages and 20% for pages under probation (the "cold" pages).
*/
class slru
{
lru eden_;
lru probationary_;
public:
using page_position = typename lru::page_position;
using const_page_position = typename lru::const_page_position;
explicit slru(int capacity) : slru(0.8f * capacity, capacity - 0.8f * capacity)
{
// correct truncation error
if(this->capacity() < capacity)
{
eden_.set_capacity(eden_.capacity() + 1);
}
}
slru(int eden_capacity, int probationary_capacity)
: eden_(eden_capacity)
, probationary_(probationary_capacity)
{}
const int size() const noexcept
{
return eden_.size() + probationary_.size();
}
const int capacity() const noexcept
{
return eden_.capacity() + probationary_.capacity();
}
const bool is_full() const noexcept
{
return size() >= capacity();
}
void set_capacity(const int n)
{
eden_.set_capacity(0.8f * n);
probationary_.set_capacity(n - eden_.capacity());
}
page_position victim_pos() noexcept
{
return probationary_.lru_pos();
}
const_page_position victim_pos() const noexcept
{
return probationary_.lru_pos();
}
const K& victim_key() const noexcept
{
return victim_pos()->key;
}
void evict()
{
probationary_.evict();
}
void erase(page_position page)
{
if(page->cache_slot == cache_slot::eden)
eden_.erase(page);
else
probationary_.erase(page);
}
/** Moves page to the MRU position of the probationary segment. */
void transfer_page_from(page_position page, lru& source)
{
probationary_.transfer_page_from(page, source);
page->cache_slot = cache_slot::probationary;
}
/**
* If page is in the probationary segment:
* promotes page to the MRU position of the eden segment, and if eden segment
* capacity is reached, moves the LRU page of the eden segment to the MRU
* position of the probationary segment.
*
* Otherwise, page is in eden:
* promotes page to the MRU position of eden.
*/
void handle_hit(page_position page)
{
if(page->cache_slot == cache_slot::probationary)
{
promote_to_eden(page);
if(eden_.is_full()) { demote_to_probationary(eden_.lru_pos()); }
}
else
{
assert(page->cache_slot == cache_slot::eden); // this shouldn't happen
eden_.handle_hit(page);
}
}
private:
void promote_to_eden(page_position page)
{
eden_.transfer_page_from(page, probationary_);
page->cache_slot = cache_slot::eden;
}
void demote_to_probationary(page_position page)
{
probationary_.transfer_page_from(page, eden_);
page->cache_slot = cache_slot::probationary;
}
};
std::mutex mutex_;
frequency_sketch<K> filter_;
// Maps keys to page positions of the LRU caches pointing to a page.
std::map<K, typename lru::page_position> page_map_;
// Allocated 1% of the total capacity. Window victims are granted the chance to
// reenter the cache (into $main_). This is to remediate the problem where sparse
// bursts cause repeated misses in the regular TinyLfu architecture.
lru window_;
// Allocated 99% of the total capacity.
slru main_;
// Statistics.
int num_cache_hits_ = 0;
int num_cache_misses_ = 0;
public:
explicit wtinylfu_cache(int capacity)
: filter_(capacity)
, window_(window_capacity(capacity))
, main_(capacity - window_.capacity())
{}
int size() const noexcept
{
std::unique_lock ul{mutex_};
return window_.size() + main_.size();
}
int capacity() const noexcept
{
std::unique_lock ul{mutex_};
return window_.capacity() + main_.capacity();
}
int num_cache_hits() const noexcept { return num_cache_hits_; }
int num_cache_misses() const noexcept { return num_cache_misses_; }
bool contains(const K& key) const noexcept
{
std::unique_lock ul{mutex_};
return page_map_.find(key) != page_map_.cend();
}
/**
* NOTE: after this operation the accuracy of the cache will suffer until enough
* historic data is gathered (because the frequency sketch is cleared).
*/
void change_capacity(const int n)
{
if(n <= 0)
{
throw std::invalid_argument("cache capacity must be greater than zero");
}
std::unique_lock ul{mutex_};
filter_.change_capacity(n);
window_.set_capacity(window_capacity(n));
main_.set_capacity(n - window_.capacity());
while(window_.is_full()) { evict_from_window(); }
while(main_.is_full()) { evict_from_main(); }
}
std::shared_ptr<V> get(const K& key)
{
std::unique_lock ul{mutex_};
return get_nolock(key);
}
std::shared_ptr<V> operator[](const K& key)
{
std::unique_lock ul{mutex_};
return get_nolock(key);
}
template<typename ValueMaker>
std::shared_ptr<V> get_and_make_if_missing(const K& key, ValueMaker value_loader)
{
std::unique_lock ul{mutex_};
std::shared_ptr<V> value = get_nolock(key);
if(value == nullptr)
{
value = std::make_shared<V>(value_loader(key));
insert_nolock(key, value);
}
return value;
}
template<typename ValueLoader>
std::shared_ptr<V> get_and_insert_if_missing(const K& key, ValueLoader value_loader)
{
std::unique_lock ul{mutex_};
std::shared_ptr<V> value = get_nolock(key);
if(value == nullptr)
{
value = value_loader(key);
insert_nolock(key, value);
}
return value;
}
void insert(K key, V value)
{
std::unique_lock ul{mutex_};
insert_nolock(std::move(key), std::make_shared<V>(std::move(value)));
}
void erase(const K& key)
{
std::unique_lock ul{mutex_};
auto it = page_map_.find(key);
if(it != page_map_.end())
{
auto& page = it->second;
if(page->cache_slot == cache_slot::window)
window_.erase(page);
else
main_.erase(page);
page_map_.erase(it);
}
}
private:
int size_nolock() const noexcept
{
return window_.size() + main_.size();
}
int capacity_nolock() const noexcept
{
return window_.capacity() + main_.capacity();
}
std::shared_ptr<V> get_nolock(const K& key)
{
filter_.record_access(key);
auto it = page_map_.find(key);
if(it != page_map_.end())
{
auto& page = it->second;
handle_hit(page);
return page->data;
}
++num_cache_misses_;
return nullptr;
}
static int window_capacity(const int total_capacity) noexcept
{
return std::max(1, int(std::ceil(0.01f * total_capacity)));
}
void insert_nolock(const K& key, std::shared_ptr<V> data)
{
if(window_.is_full()) { evict(); }
auto it = page_map_.find(key);
if(it != page_map_.end())
it->second->data = data;
else
page_map_.emplace(key, window_.insert(key, cache_slot::window, data));
}
void handle_hit(typename lru::page_position page)
{
if(page->cache_slot == cache_slot::window)
window_.handle_hit(page);
else
main_.handle_hit(page);
++num_cache_hits_;
}
/**
* Evicts from the window cache to the main cache's probationary space.
* Called when the window cache is full.
* If the cache's total size exceeds its capacity, the window cache's victim and
* the main cache's eviction candidate are evaluated and the one with the worse
* (estimated) access frequency is evicted. Otherwise, the window cache's victim is
* just transferred to the main cache.
*/
void evict()
{
if(size_nolock() >= capacity_nolock())
evict_from_window_or_main();
else
main_.transfer_page_from(window_.lru_pos(), window_);
}
void evict_from_window_or_main()
{
const int window_victim_freq = filter_.frequency(window_.victim_key());
const int main_victim_freq = filter_.frequency(main_.victim_key());
if(window_victim_freq > main_victim_freq)
{
evict_from_main();
main_.transfer_page_from(window_.lru_pos(), window_);
}
else
{
evict_from_window();
}
}
void evict_from_main()
{
page_map_.erase(main_.victim_key());
main_.evict();
}
void evict_from_window()
{
page_map_.erase(window_.victim_key());
window_.evict();
}
};
#endif