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| 1 | +// The MIT License (MIT) |
| 2 | + |
| 3 | +// Copyright (c) 2016 Mike Taghavi (mitghi[at]me.com) |
| 4 | + |
| 5 | +// Permission is hereby granted, free of charge, to any person obtaining a copy |
| 6 | +// of this software and associated documentation files (the "Software"), to deal |
| 7 | +// in the Software without restriction, including without limitation the rights |
| 8 | +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
| 9 | +// copies of the Software, and to permit persons to whom the Software is |
| 10 | +// furnished to do so, subject to the following conditions: |
| 11 | + |
| 12 | +// The above copyright notice and this permission notice shall be included in all |
| 13 | +// copies or substantial portions of the Software. |
| 14 | + |
| 15 | +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
| 16 | +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
| 17 | +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
| 18 | +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
| 19 | +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
| 20 | +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
| 21 | +// SOFTWARE. |
| 22 | + |
| 23 | +import Foundation |
| 24 | + |
| 25 | +// Stack from : https://github.com/raywenderlich/swift-algorithm-club/tree/master/Stack |
| 26 | +public struct Stack<T> { |
| 27 | + fileprivate var array: [T] = [] |
| 28 | + |
| 29 | + public var isEmpty: Bool { |
| 30 | + return array.isEmpty |
| 31 | + } |
| 32 | + |
| 33 | + public var count: Int { |
| 34 | + return array.count |
| 35 | + } |
| 36 | + |
| 37 | + public mutating func push(_ element: T) { |
| 38 | + array.append(element) |
| 39 | + } |
| 40 | + |
| 41 | + public mutating func pop() -> T? { |
| 42 | + return array.popLast() |
| 43 | + } |
| 44 | + |
| 45 | + public func peek() -> T? { |
| 46 | + return array.last |
| 47 | + } |
| 48 | +} |
| 49 | + |
| 50 | +extension Stack: Sequence { |
| 51 | + public func makeIterator() -> AnyIterator<T> { |
| 52 | + var curr = self |
| 53 | + return AnyIterator { curr.pop() } |
| 54 | + } |
| 55 | +} |
| 56 | + |
| 57 | +private func coinFlip() -> Bool { |
| 58 | + return arc4random_uniform(2) == 1 |
| 59 | +} |
| 60 | + |
| 61 | +public class DataNode<Key: Comparable, Payload> { |
| 62 | + public typealias Node = DataNode<Key, Payload> |
| 63 | + |
| 64 | + var data: Payload? |
| 65 | + fileprivate var key: Key? |
| 66 | + var next: Node? |
| 67 | + var down: Node? |
| 68 | + |
| 69 | + public init(key: Key, data: Payload) { |
| 70 | + self.key = key |
| 71 | + self.data = data |
| 72 | + } |
| 73 | + |
| 74 | + public init(asHead head: Bool) {} |
| 75 | + |
| 76 | +} |
| 77 | + |
| 78 | +open class SkipList<Key: Comparable, Payload> { |
| 79 | + public typealias Node = DataNode<Key, Payload> |
| 80 | + |
| 81 | + fileprivate(set) var head: Node? |
| 82 | + |
| 83 | + public init() {} |
| 84 | + |
| 85 | +} |
| 86 | + |
| 87 | +// MARK: - Search lanes for a node with a given key |
| 88 | + |
| 89 | +extension SkipList { |
| 90 | + |
| 91 | + func findNode(key: Key) -> Node? { |
| 92 | + var currentNode: Node? = head |
| 93 | + var isFound: Bool = false |
| 94 | + |
| 95 | + while !isFound { |
| 96 | + if let node = currentNode { |
| 97 | + |
| 98 | + switch node.next { |
| 99 | + case .none: |
| 100 | + |
| 101 | + currentNode = node.down |
| 102 | + case .some(let value) where value.key != nil: |
| 103 | + |
| 104 | + if value.key == key { |
| 105 | + isFound = true |
| 106 | + break |
| 107 | + } else { |
| 108 | + if key < value.key! { |
| 109 | + currentNode = node.down |
| 110 | + } else { |
| 111 | + currentNode = node.next |
| 112 | + } |
| 113 | + } |
| 114 | + |
| 115 | + default: |
| 116 | + continue |
| 117 | + } |
| 118 | + |
| 119 | + } else { |
| 120 | + break |
| 121 | + } |
| 122 | + } |
| 123 | + |
| 124 | + if isFound { |
| 125 | + return currentNode |
| 126 | + } else { |
| 127 | + return nil |
| 128 | + } |
| 129 | + |
| 130 | + } |
| 131 | + |
| 132 | + func search(key: Key) -> Payload? { |
| 133 | + guard let node = findNode(key: key) else { |
| 134 | + return nil |
| 135 | + } |
| 136 | + |
| 137 | + return node.next!.data |
| 138 | + } |
| 139 | + |
| 140 | +} |
| 141 | + |
| 142 | +// MARK: - Insert a node into lanes depending on skip list status ( bootstrap base-layer if head is empty / start insertion from current head ). |
| 143 | + |
| 144 | +extension SkipList { |
| 145 | + private func bootstrapBaseLayer(key: Key, data: Payload) { |
| 146 | + head = Node(asHead: true) |
| 147 | + var node = Node(key: key, data: data) |
| 148 | + |
| 149 | + head!.next = node |
| 150 | + |
| 151 | + var currentTopNode = node |
| 152 | + |
| 153 | + while coinFlip() { |
| 154 | + let newHead = Node(asHead: true) |
| 155 | + node = Node(key: key, data: data) |
| 156 | + node.down = currentTopNode |
| 157 | + newHead.next = node |
| 158 | + newHead.down = head |
| 159 | + head = newHead |
| 160 | + currentTopNode = node |
| 161 | + } |
| 162 | + |
| 163 | + } |
| 164 | + |
| 165 | + private func insertItem(key: Key, data: Payload) { |
| 166 | + var stack = Stack<Node>() |
| 167 | + var currentNode: Node? = head |
| 168 | + |
| 169 | + while currentNode != nil { |
| 170 | + |
| 171 | + if let nextNode = currentNode!.next { |
| 172 | + if nextNode.key! > key { |
| 173 | + stack.push(currentNode!) |
| 174 | + currentNode = currentNode!.down |
| 175 | + } else { |
| 176 | + currentNode = nextNode |
| 177 | + } |
| 178 | + |
| 179 | + } else { |
| 180 | + stack.push(currentNode!) |
| 181 | + currentNode = currentNode!.down |
| 182 | + } |
| 183 | + |
| 184 | + } |
| 185 | + |
| 186 | + let itemAtLayer = stack.pop() |
| 187 | + var node = Node(key: key, data: data) |
| 188 | + node.next = itemAtLayer!.next |
| 189 | + itemAtLayer!.next = node |
| 190 | + var currentTopNode = node |
| 191 | + |
| 192 | + while coinFlip() { |
| 193 | + if stack.isEmpty { |
| 194 | + let newHead = Node(asHead: true) |
| 195 | + |
| 196 | + node = Node(key: key, data: data) |
| 197 | + node.down = currentTopNode |
| 198 | + newHead.next = node |
| 199 | + newHead.down = head |
| 200 | + head = newHead |
| 201 | + currentTopNode = node |
| 202 | + |
| 203 | + } else { |
| 204 | + let nextNode = stack.pop() |
| 205 | + |
| 206 | + node = Node(key: key, data: data) |
| 207 | + node.down = currentTopNode |
| 208 | + node.next = nextNode!.next |
| 209 | + nextNode!.next = node |
| 210 | + currentTopNode = node |
| 211 | + } |
| 212 | + } |
| 213 | + } |
| 214 | + |
| 215 | + func insert(key: Key, data: Payload) { |
| 216 | + if head != nil { |
| 217 | + if let node = findNode(key: key) { |
| 218 | + // replace, in case of key already exists. |
| 219 | + var currentNode = node.next |
| 220 | + while currentNode != nil && currentNode!.key == key { |
| 221 | + currentNode!.data = data |
| 222 | + currentNode = currentNode!.down |
| 223 | + } |
| 224 | + } else { |
| 225 | + insertItem(key: key, data: data) |
| 226 | + } |
| 227 | + |
| 228 | + } else { |
| 229 | + bootstrapBaseLayer(key: key, data: data) |
| 230 | + } |
| 231 | + } |
| 232 | + |
| 233 | +} |
| 234 | + |
| 235 | +// MARK: - Remove a node with a given key. First, find its position in layers at the top, then remove it from each lane by traversing down to the base layer. |
| 236 | + |
| 237 | +extension SkipList { |
| 238 | + public func remove(key: Key) { |
| 239 | + guard let item = findNode(key: key) else { |
| 240 | + return |
| 241 | + } |
| 242 | + |
| 243 | + var currentNode = Optional(item) |
| 244 | + |
| 245 | + while currentNode != nil { |
| 246 | + let node = currentNode!.next |
| 247 | + |
| 248 | + if node!.key != key { |
| 249 | + currentNode = node |
| 250 | + continue |
| 251 | + } |
| 252 | + |
| 253 | + let nextNode = node!.next |
| 254 | + |
| 255 | + currentNode!.next = nextNode |
| 256 | + currentNode = currentNode!.down |
| 257 | + |
| 258 | + } |
| 259 | + |
| 260 | + } |
| 261 | +} |
| 262 | + |
| 263 | +// MARK: - Get associated payload from a node with a given key. |
| 264 | + |
| 265 | +extension SkipList { |
| 266 | + |
| 267 | + public func get(key: Key) -> Payload? { |
| 268 | + return search(key: key) |
| 269 | + } |
| 270 | +} |
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