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// | ||
// SwiftyLevenshtein.swift | ||
// Levenshtein distance algorithm written in Swift 2.2. Both a slow and highly optimized version are included. | ||
// | ||
// Created by Mark Hamilton on 3/31/16. | ||
// Copyright © 2016 dryverless. (http://www.dryverless.com) | ||
// | ||
// 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. | ||
// | ||
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import Foundation | ||
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// Minimize 3 | ||
public func min3(a: Int, b: Int, c: Int) -> Int { | ||
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return min( min(a, c), min(b, c)) | ||
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} | ||
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// In case they ever let subscripts throw | ||
//public extension String { | ||
// | ||
// internal enum SubscriptError: ErrorType { | ||
// | ||
// case InvalidFirstChar | ||
// | ||
// case InvalidLastChar | ||
// | ||
// } | ||
// | ||
// | ||
// subscript(range: Range<Int>) throws -> String { | ||
// | ||
// guard let firstChar = startIndex.advancedBy(range.startIndex) else { | ||
// | ||
// throw SubscriptError.InvalidFirstChar | ||
// } | ||
// | ||
// guard let lastChar = startIndex.advancedBy(range.endIndex) else { | ||
// | ||
// throw SubscriptError.InvalidLastChar | ||
// | ||
// } | ||
// | ||
// return self[firstChar...<lastChar] | ||
// | ||
// | ||
// } | ||
// | ||
//} | ||
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public extension String { | ||
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subscript(index: Int) -> Character { | ||
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return self[startIndex.advancedBy(index)] | ||
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} | ||
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subscript(range: Range<Int>) -> String { | ||
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let char0 = startIndex.advancedBy(range.startIndex) | ||
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let charN = startIndex.advancedBy(range.endIndex) | ||
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return self[char0..<charN] | ||
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} | ||
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} | ||
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public struct Array2D { | ||
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var columns: Int | ||
var rows: Int | ||
var matrix: [Int] | ||
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init(columns: Int, rows: Int) { | ||
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self.columns = columns | ||
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self.rows = rows | ||
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matrix = Array(count:columns*rows, repeatedValue:0) | ||
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} | ||
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subscript(column: Int, row: Int) -> Int { | ||
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get { | ||
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return matrix[columns * row + column] | ||
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} | ||
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set { | ||
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matrix[columns * row + column] = newValue | ||
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} | ||
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} | ||
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func columnCount() -> Int { | ||
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return self.columns | ||
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} | ||
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func rowCount() -> Int { | ||
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return self.rows | ||
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} | ||
} | ||
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/* Levenshtein Distance Algorithm | ||
* Calculates the minimum number of changes (distance) between two strings. | ||
*/ | ||
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public func slowlevenshtein(sourceString: String, target targetString: String) -> Int { | ||
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let source = Array(sourceString.unicodeScalars) | ||
let target = Array(targetString.unicodeScalars) | ||
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let (sourceLength, targetLength) = (source.count, target.count) | ||
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var matrix = Array(count: targetLength + 1, repeatedValue: Array(count: sourceLength + 1, repeatedValue: 0)) | ||
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for x in 1..<targetLength { | ||
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matrix[x][0] = matrix[x - 1][0] + 1 | ||
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} | ||
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for y in 1..<sourceLength { | ||
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matrix[0][y] = matrix[0][y - 1] + 1 | ||
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} | ||
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for x in 1..<(targetLength + 1) { | ||
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for y in 1..<(sourceLength + 1) { | ||
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let penalty = source[y - 1] == target[x - 1] ? 0 : 1 | ||
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let (deletions, insertions, substitutions) = (matrix[x - 1][y] + 1, matrix[x][y - 1] + 1, matrix[x - 1][y - 1]) | ||
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matrix[x][y] = min3(deletions, b: insertions, c: substitutions + penalty) | ||
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} | ||
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} | ||
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return matrix[targetLength][sourceLength] | ||
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} | ||
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public func levenshtein(sourceString: String, target targetString: String) -> Int { | ||
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let source = Array(sourceString.unicodeScalars) | ||
let target = Array(targetString.unicodeScalars) | ||
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let (sourceLength, targetLength) = (source.count, target.count) | ||
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var distance = Array2D(columns: sourceLength + 1, rows: targetLength + 1) | ||
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for x in 1...sourceLength { | ||
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distance[x, 0] = x | ||
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} | ||
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for y in 1...targetLength { | ||
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distance[0, y] = y | ||
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} | ||
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for x in 1...sourceLength { | ||
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for y in 1...targetLength { | ||
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if source[x - 1] == target[y - 1] { | ||
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// no difference | ||
distance[x, y] = distance[x - 1, y - 1] | ||
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} else { | ||
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distance[x, y] = min3( | ||
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// deletions | ||
distance[x - 1, y] + 1, | ||
// insertions | ||
b: distance[x, y - 1] + 1, | ||
// substitutions | ||
c: distance[x - 1, y - 1] + 1 | ||
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) | ||
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} | ||
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} | ||
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} | ||
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return distance[source.count, target.count] | ||
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} | ||
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public extension String { | ||
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func getSlowLevenshtein(target: String) -> Int { | ||
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return slowlevenshtein(self, target: target) | ||
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} | ||
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func getLevenshtein(target: String) -> Int { | ||
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return levenshtein(self, target: target) | ||
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} | ||
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} |