Created
January 15, 2015 17:40
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Levenshtein Edit Distance
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// Compute the edit distance between the two given strings | |
function getEditDistance(a, b) { | |
if(a.length === 0) return b.length; | |
if(b.length === 0) return a.length; | |
var matrix = []; | |
// increment along the first column of each row | |
var i; | |
for(i = 0; i <= b.length; i++){ | |
matrix[i] = [i]; | |
} | |
// increment each column in the first row | |
var j; | |
for(j = 0; j <= a.length; j++){ | |
matrix[0][j] = j; | |
} | |
// Fill in the rest of the matrix | |
for(i = 1; i <= b.length; i++){ | |
for(j = 1; j <= a.length; j++){ | |
if(b.charAt(i-1) == a.charAt(j-1)){ | |
matrix[i][j] = matrix[i-1][j-1]; | |
} else { | |
matrix[i][j] = Math.min(matrix[i-1][j-1] + 1, // substitution | |
Math.min(matrix[i][j-1] + 1, // insertion | |
matrix[i-1][j] + 1)); // deletion | |
} | |
} | |
} | |
return matrix[b.length][a.length]; | |
}; |
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