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| 1 | +/*--------------------------------------------------------------------------------------------- |
| 2 | + * Copyright (c) Microsoft Corporation. All rights reserved. |
| 3 | + * Licensed under the MIT License. See License.txt in the project root for license information. |
| 4 | + *--------------------------------------------------------------------------------------------*/ |
| 5 | + |
| 6 | + |
| 7 | +class Node<K, V> { |
| 8 | + readonly forward: Node<K, V>[]; |
| 9 | + constructor(readonly level: number, readonly key: K, public value: V) { |
| 10 | + this.forward = []; |
| 11 | + } |
| 12 | +} |
| 13 | + |
| 14 | +const NIL: undefined = undefined; |
| 15 | + |
| 16 | +interface Comparator<K> { |
| 17 | + (a: K, b: K): number; |
| 18 | +} |
| 19 | + |
| 20 | +export class SkipList<K, V> implements Map<K, V> { |
| 21 | + |
| 22 | + readonly [Symbol.toStringTag] = 'SkipList'; |
| 23 | + |
| 24 | + private _maxLevel: number; |
| 25 | + private _level: number = 1; |
| 26 | + private _header: Node<K, V>; |
| 27 | + private _size: number = 0; |
| 28 | + |
| 29 | + /** |
| 30 | + * |
| 31 | + * @param capacity Capacity at which the list performs best |
| 32 | + */ |
| 33 | + constructor( |
| 34 | + readonly comparator: (a: K, b: K) => number, |
| 35 | + capacity: number = 2 ** 16 |
| 36 | + ) { |
| 37 | + this._maxLevel = Math.max(1, Math.log2(capacity) | 0); |
| 38 | + this._header = <any>new Node(this._maxLevel, NIL, NIL); |
| 39 | + } |
| 40 | + |
| 41 | + get size(): number { |
| 42 | + return this._size; |
| 43 | + } |
| 44 | + |
| 45 | + clear(): void { |
| 46 | + this._header = <any>new Node(this._maxLevel, NIL, NIL); |
| 47 | + } |
| 48 | + |
| 49 | + has(key: K): boolean { |
| 50 | + return Boolean(SkipList._search(this, key, this.comparator)); |
| 51 | + } |
| 52 | + |
| 53 | + get(key: K): V | undefined { |
| 54 | + return SkipList._search(this, key, this.comparator)?.value; |
| 55 | + } |
| 56 | + |
| 57 | + set(key: K, value: V): this { |
| 58 | + if (SkipList._insert(this, key, value, this.comparator)) { |
| 59 | + this._size += 1; |
| 60 | + } |
| 61 | + return this; |
| 62 | + } |
| 63 | + |
| 64 | + delete(key: K): boolean { |
| 65 | + const didDelete = SkipList._delete(this, key, this.comparator); |
| 66 | + if (didDelete) { |
| 67 | + this._size -= 1; |
| 68 | + } |
| 69 | + return didDelete; |
| 70 | + } |
| 71 | + |
| 72 | + // --- iteration |
| 73 | + |
| 74 | + forEach(callbackfn: (value: V, key: K, map: Map<K, V>) => void, thisArg?: any): void { |
| 75 | + let node = this._header.forward[0]; |
| 76 | + while (node) { |
| 77 | + callbackfn.call(thisArg, node.value, node.key, this); |
| 78 | + node = node.forward[0]; |
| 79 | + } |
| 80 | + } |
| 81 | + |
| 82 | + [Symbol.iterator](): IterableIterator<[K, V]> { |
| 83 | + return this.entries(); |
| 84 | + } |
| 85 | + |
| 86 | + *entries(): IterableIterator<[K, V]> { |
| 87 | + let node = this._header.forward[0]; |
| 88 | + while (node) { |
| 89 | + yield [node.key, node.value]; |
| 90 | + node = node.forward[0]; |
| 91 | + } |
| 92 | + } |
| 93 | + |
| 94 | + *keys(): IterableIterator<K> { |
| 95 | + let node = this._header.forward[0]; |
| 96 | + while (node) { |
| 97 | + yield node.key; |
| 98 | + node = node.forward[0]; |
| 99 | + } |
| 100 | + } |
| 101 | + |
| 102 | + *values(): IterableIterator<V> { |
| 103 | + let node = this._header.forward[0]; |
| 104 | + while (node) { |
| 105 | + yield node.value; |
| 106 | + node = node.forward[0]; |
| 107 | + } |
| 108 | + } |
| 109 | + |
| 110 | + toString(): string { |
| 111 | + // debug string... |
| 112 | + let result = '[SkipList]:'; |
| 113 | + let node = this._header.forward[0]; |
| 114 | + while (node) { |
| 115 | + result += `node(${node.key}, ${node.value}, lvl:${node.level})`; |
| 116 | + node = node.forward[0]; |
| 117 | + } |
| 118 | + return result; |
| 119 | + } |
| 120 | + |
| 121 | + // from https://www.epaperpress.com/sortsearch/download/skiplist.pdf |
| 122 | + |
| 123 | + private static _search<K, V>(list: SkipList<K, V>, searchKey: K, comparator: Comparator<K>) { |
| 124 | + let x = list._header; |
| 125 | + for (let i = list._level; i >= 0; i--) { |
| 126 | + while (x.forward[i] && comparator(x.forward[i].key, searchKey) < 0) { |
| 127 | + x = x.forward[i]; |
| 128 | + } |
| 129 | + } |
| 130 | + x = x.forward[0]; |
| 131 | + if (x && comparator(x.key, searchKey) === 0) { |
| 132 | + return x; |
| 133 | + } |
| 134 | + return undefined; |
| 135 | + } |
| 136 | + |
| 137 | + private static _insert<K, V>(list: SkipList<K, V>, searchKey: K, value: V, comparator: Comparator<K>) { |
| 138 | + let update: Node<K, V>[] = []; |
| 139 | + let x = list._header; |
| 140 | + for (let i = list._level; i >= 0; i--) { |
| 141 | + while (x.forward[i] && comparator(x.forward[i].key, searchKey) < 0) { |
| 142 | + x = x.forward[i]; |
| 143 | + } |
| 144 | + update[i] = x; |
| 145 | + } |
| 146 | + x = x.forward[0]; |
| 147 | + if (x && comparator(x.key, searchKey) === 0) { |
| 148 | + // update |
| 149 | + x.value = value; |
| 150 | + return false; |
| 151 | + } else { |
| 152 | + // insert |
| 153 | + let lvl = SkipList._randomLevel(list); |
| 154 | + if (lvl > list._level) { |
| 155 | + for (let i = list._level + 1; i <= lvl; i++) { |
| 156 | + update[i] = list._header; |
| 157 | + } |
| 158 | + list._level = lvl; |
| 159 | + } |
| 160 | + x = new Node<K, V>(lvl, searchKey, value); |
| 161 | + for (let i = 0; i <= lvl; i++) { |
| 162 | + x.forward[i] = update[i].forward[i]; |
| 163 | + update[i].forward[i] = x; |
| 164 | + } |
| 165 | + return true; |
| 166 | + } |
| 167 | + } |
| 168 | + |
| 169 | + private static _randomLevel(list: SkipList<any, any>, p: number = 0.5): number { |
| 170 | + let lvl = 1; |
| 171 | + while (Math.random() < p && lvl < list._maxLevel) { |
| 172 | + lvl += 1; |
| 173 | + } |
| 174 | + return lvl; |
| 175 | + } |
| 176 | + |
| 177 | + private static _delete<K, V>(list: SkipList<K, V>, searchKey: K, comparator: Comparator<K>) { |
| 178 | + let update: Node<K, V>[] = []; |
| 179 | + let x = list._header; |
| 180 | + for (let i = list._level; i >= 0; i--) { |
| 181 | + while (x.forward[i] && comparator(x.forward[i].key, searchKey) < 0) { |
| 182 | + x = x.forward[i]; |
| 183 | + } |
| 184 | + update[i] = x; |
| 185 | + } |
| 186 | + x = x.forward[0]; |
| 187 | + if (!x || comparator(x.key, searchKey) !== 0) { |
| 188 | + // not found |
| 189 | + return false; |
| 190 | + } |
| 191 | + for (let i = 0; i < list._level; i++) { |
| 192 | + if (update[i].forward[i] !== x) { |
| 193 | + break; |
| 194 | + } |
| 195 | + update[i].forward[i] = x.forward[i]; |
| 196 | + } |
| 197 | + while (list._level >= 1 && list._header.forward[list._level] === NIL) { |
| 198 | + list._level -= 1; |
| 199 | + } |
| 200 | + return true; |
| 201 | + } |
| 202 | + |
| 203 | +} |
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