From e4f2ccdbece78d44d3f4bd908c828408b1c0c791 Mon Sep 17 00:00:00 2001 From: Oleksii Trekhleb Date: Mon, 23 Jan 2023 18:03:40 +0100 Subject: [PATCH] Add an example of the LRU (Least Recently Used) Cache implementation (#980) * Add an example of the LRU Cache implementation. * Promote the node on set() as well. * Add LRU Cache images. --- README.md | 1 + src/data-structures/lru-cache/LRUCache.js | 134 ++++++++++++++++ .../lru-cache/LinkedListNode.js | 17 ++ src/data-structures/lru-cache/README.md | 37 +++++ .../lru-cache/__test__/LRUCache.test.js | 150 ++++++++++++++++++ .../lru-cache/images/lru-cache.jpg | Bin 0 -> 677600 bytes 6 files changed, 339 insertions(+) create mode 100644 src/data-structures/lru-cache/LRUCache.js create mode 100644 src/data-structures/lru-cache/LinkedListNode.js create mode 100644 src/data-structures/lru-cache/README.md create mode 100644 src/data-structures/lru-cache/__test__/LRUCache.test.js create mode 100644 src/data-structures/lru-cache/images/lru-cache.jpg diff --git a/README.md b/README.md index 88369406..2c83a70b 100644 --- a/README.md +++ b/README.md @@ -64,6 +64,7 @@ the data. * `A` [Graph](src/data-structures/graph) (both directed and undirected) * `A` [Disjoint Set](src/data-structures/disjoint-set) * `A` [Bloom Filter](src/data-structures/bloom-filter) +* `A` [LRU Cache](src/data-structures/lru-cache/) - Least Recently Used (LRU) cache ## Algorithms diff --git a/src/data-structures/lru-cache/LRUCache.js b/src/data-structures/lru-cache/LRUCache.js new file mode 100644 index 00000000..dc27d1b4 --- /dev/null +++ b/src/data-structures/lru-cache/LRUCache.js @@ -0,0 +1,134 @@ +/* eslint-disable no-param-reassign */ +import LinkedListNode from './LinkedListNode'; + +/** + * Implementation of the LRU (Least Recently Used) Cache + * based on the HashMap and Doubly Linked List data-structures. + * + * Current implementation allows to have fast (O(1)) read and write operations. + * + * At any moment in time the LRU Cache holds not more that "capacity" number of items in it. + */ +class LRUCache { + /** + * Creates a cache instance of a specific capacity. + * @param {number} capacity + */ + constructor(capacity) { + this.capacity = capacity; // How many items to store in cache at max. + this.nodesMap = {}; // The quick links to each linked list node in cache. + this.size = 0; // The number of items that is currently stored in the cache. + this.head = new LinkedListNode(); // The Head (first) linked list node. + this.tail = new LinkedListNode(); // The Tail (last) linked list node. + } + + /** + * Returns the cached value by its key. + * Time complexity: O(1). + * @param {string} key + * @returns {any} + */ + get(key) { + if (this.nodesMap[key] === undefined) return undefined; + const node = this.nodesMap[key]; + this.promote(node); + return node.val; + } + + /** + * Sets the value to cache by its key. + * Time complexity: O(1). + * @param {string} key + * @param {any} val + */ + set(key, val) { + if (this.nodesMap[key]) { + const node = this.nodesMap[key]; + node.val = val; + this.promote(node); + } else { + const node = new LinkedListNode(key, val); + this.append(node); + } + } + + /** + * Promotes the node to the end of the linked list. + * It means that the node is most frequently used. + * It also reduces the chance for such node to get evicted from cache. + * @param {LinkedListNode} node + */ + promote(node) { + this.evict(node); + this.append(node); + } + + /** + * Appends a new node to the end of the cache linked list. + * @param {LinkedListNode} node + */ + append(node) { + this.nodesMap[node.key] = node; + + if (!this.head.next) { + // First node to append. + this.head.next = node; + this.tail.prev = node; + node.prev = this.head; + node.next = this.tail; + } else { + // Append to an existing tail. + const oldTail = this.tail.prev; + oldTail.next = node; + node.prev = oldTail; + node.next = this.tail; + this.tail.prev = node; + } + + this.size += 1; + + if (this.size > this.capacity) { + this.evict(this.head.next); + } + } + + /** + * Evicts (removes) the node from cache linked list. + * @param {LinkedListNode} node + */ + evict(node) { + delete this.nodesMap[node.key]; + this.size -= 1; + + const prevNode = node.prev; + const nextNode = node.next; + + // If one and only node. + if (prevNode === this.head && nextNode === this.tail) { + this.head.next = null; + this.tail.prev = null; + this.size = 0; + return; + } + + // If this is a Head node. + if (prevNode === this.head) { + nextNode.prev = this.head; + this.head.next = nextNode; + return; + } + + // If this is a Tail node. + if (nextNode === this.tail) { + prevNode.next = this.tail; + this.tail.prev = prevNode; + return; + } + + // If the node is in the middle. + prevNode.next = nextNode; + nextNode.prev = prevNode; + } +} + +export default LRUCache; diff --git a/src/data-structures/lru-cache/LinkedListNode.js b/src/data-structures/lru-cache/LinkedListNode.js new file mode 100644 index 00000000..6c2b3cd6 --- /dev/null +++ b/src/data-structures/lru-cache/LinkedListNode.js @@ -0,0 +1,17 @@ +class LinkedListNode { + /** + * Creates a doubly-linked list node. + * @param {string} key + * @param {any} val + * @param {LinkedListNode} prev + * @param {LinkedListNode} next + */ + constructor(key, val, prev = null, next = null) { + this.key = key; + this.val = val; + this.prev = prev; + this.next = next; + } +} + +export default LinkedListNode; diff --git a/src/data-structures/lru-cache/README.md b/src/data-structures/lru-cache/README.md new file mode 100644 index 00000000..b9175ba3 --- /dev/null +++ b/src/data-structures/lru-cache/README.md @@ -0,0 +1,37 @@ +# Least Recently Used (LRU) Cache + +A **Least Recently Used (LRU) Cache** organizes items in order of use, allowing you to quickly identify which item hasn't been used for the longest amount of time. + +Picture a clothes rack, where clothes are always hung up on one side. To find the least-recently used item, look at the item on the other end of the rack. + +## The problem statement + +Implement the LRUCache class: + +- `LRUCache(int capacity)` Initialize the LRU cache with **positive** size `capacity`. +- `int get(int key)` Return the value of the `key` if the `key` exists, otherwise return `undefined`. +- `void set(int key, int value)` Update the value of the `key` if the `key` exists. Otherwise, add the `key-value` pair to the cache. If the number of keys exceeds the `capacity` from this operation, **evict** the least recently used key. + +The functions `get()` and `set()` must each run in `O(1)` average time complexity. + +## Implementation + +See the `LRUCache` implementation example in [LRUCache.js](./LRUCache.js). The solution uses a `HashMap` for fast `O(1)` cache items access, and a `DoublyLinkedList` for fast `O(1)` cache items promotions and eviction (to keep the maximum allowed cache capacity). + +![Linked List](./images/lru-cache.jpg) + +*Made with [okso.app](https://okso.app)* + +## Costs + +| | Worst Case | +|---|---| +| Space |`O(n)`| +| Get item | `O(1)` | +| Set item | `O(1)` | + +## References + +- [LRU Cache on LeetCode](https://leetcode.com/problems/lru-cache/solutions/244744/lru-cache/) +- [LRU Cache on InterviewCake](https://www.interviewcake.com/concept/java/lru-cache) +- [LRU Cache on Wiki](https://en.wikipedia.org/wiki/Cache_replacement_policies) diff --git a/src/data-structures/lru-cache/__test__/LRUCache.test.js b/src/data-structures/lru-cache/__test__/LRUCache.test.js new file mode 100644 index 00000000..438fd503 --- /dev/null +++ b/src/data-structures/lru-cache/__test__/LRUCache.test.js @@ -0,0 +1,150 @@ +import LRUCache from '../LRUCache'; + +describe('LRUCache', () => { + it('should set and get values to and from the cache', () => { + const cache = new LRUCache(100); + expect(cache.get('key-1')).toBeUndefined(); + + cache.set('key-1', 15); + cache.set('key-2', 16); + cache.set('key-3', 17); + expect(cache.get('key-1')).toBe(15); + expect(cache.get('key-2')).toBe(16); + expect(cache.get('key-3')).toBe(17); + expect(cache.get('key-3')).toBe(17); + expect(cache.get('key-2')).toBe(16); + expect(cache.get('key-1')).toBe(15); + + cache.set('key-1', 5); + cache.set('key-2', 6); + cache.set('key-3', 7); + expect(cache.get('key-1')).toBe(5); + expect(cache.get('key-2')).toBe(6); + expect(cache.get('key-3')).toBe(7); + }); + + it('should evict least recently used items from cache with cache size of 1', () => { + const cache = new LRUCache(1); + expect(cache.get('key-1')).toBeUndefined(); + + cache.set('key-1', 15); + expect(cache.get('key-1')).toBe(15); + + cache.set('key-2', 16); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(16); + + cache.set('key-2', 17); + expect(cache.get('key-2')).toBe(17); + + cache.set('key-3', 18); + cache.set('key-4', 19); + expect(cache.get('key-2')).toBeUndefined(); + expect(cache.get('key-3')).toBeUndefined(); + expect(cache.get('key-4')).toBe(19); + }); + + it('should evict least recently used items from cache with cache size of 2', () => { + const cache = new LRUCache(2); + expect(cache.get('key-21')).toBeUndefined(); + + cache.set('key-21', 15); + expect(cache.get('key-21')).toBe(15); + + cache.set('key-22', 16); + expect(cache.get('key-21')).toBe(15); + expect(cache.get('key-22')).toBe(16); + + cache.set('key-22', 17); + expect(cache.get('key-22')).toBe(17); + + cache.set('key-23', 18); + expect(cache.size).toBe(2); + expect(cache.get('key-21')).toBeUndefined(); + expect(cache.get('key-22')).toBe(17); + expect(cache.get('key-23')).toBe(18); + + cache.set('key-24', 19); + expect(cache.size).toBe(2); + expect(cache.get('key-21')).toBeUndefined(); + expect(cache.get('key-22')).toBeUndefined(); + expect(cache.get('key-23')).toBe(18); + expect(cache.get('key-24')).toBe(19); + }); + + it('should evict least recently used items from cache with cache size of 3', () => { + const cache = new LRUCache(3); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + + cache.set('key-3', 4); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(4); + + cache.set('key-4', 5); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(4); + expect(cache.get('key-4')).toBe(5); + }); + + it('should promote the node while calling set() method', () => { + const cache = new LRUCache(2); + + cache.set('2', 1); + cache.set('1', 1); + cache.set('2', 3); + cache.set('4', 1); + expect(cache.get('1')).toBeUndefined(); + expect(cache.get('2')).toBe(3); + }); + + it('should promote the recently accessed item with cache size of 3', () => { + const cache = new LRUCache(3); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + expect(cache.get('key-1')).toBe(1); + + cache.set('key-4', 4); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBe(4); + expect(cache.get('key-2')).toBeUndefined(); + }); + + it('should promote the recently accessed item with cache size of 4', () => { + const cache = new LRUCache(4); + + cache.set('key-1', 1); + cache.set('key-2', 2); + cache.set('key-3', 3); + cache.set('key-4', 4); + expect(cache.get('key-4')).toBe(4); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-1')).toBe(1); + + cache.set('key-5', 5); + expect(cache.get('key-1')).toBe(1); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBeUndefined(); + expect(cache.get('key-5')).toBe(5); + + cache.set('key-6', 6); + expect(cache.get('key-1')).toBeUndefined(); + expect(cache.get('key-2')).toBe(2); + expect(cache.get('key-3')).toBe(3); + expect(cache.get('key-4')).toBeUndefined(); + expect(cache.get('key-5')).toBe(5); + expect(cache.get('key-6')).toBe(6); + }); +}); diff --git a/src/data-structures/lru-cache/images/lru-cache.jpg b/src/data-structures/lru-cache/images/lru-cache.jpg new file mode 100644 index 0000000000000000000000000000000000000000..be851b2f1d468f3608529460a43dd808a85418c9 GIT binary patch literal 677600 zcmeFZ1yo#3yC&KMf=h6BXo9;-2u|bDID`O=yL&>A1eeAw1gG)FHNl~=;7&qtw_qWJ z>F@miKWApm+zn-(B_A-u3Rs#mDb}XCNh2B>)Nv0Dyx0 z03Ls!EUL=OztYy#Qc_h{{71$x02$Eu000+PZ%Mz;P+ua*k zM*A<>Q(speDcd0B=XU>%Z1vyB*6yBvm5)P~k#ceN`KztJ!e5ASA+BIOWQ>VCXaHUS zU4Sw`?%(_GRtNxyT>${7N&lW^l?4E_L;?U5%m1FnQUCxDL;wKIlmDLf@0_^5_I!=3 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