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Teddy Zugana
Teddy Zugana

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PHP DamerauLevenshtein ALGORITHM

/*

  • Naïve implementation of Damerau-Levenshtein distance
  • (Does not work when there are neighbouring transpositions)! */
  function DamerauLevenshtein($S1, $S2)
  {
    $L1 = strlen($S1);
    $L2 = strlen($S2);
    if ($L1==0 || $L2==0) {
        // Trivial case: one string is 0-length
        return max($L1, $L2);
    }
    else {
        // The cost of substituting the last character
        $substitutionCost = ($S1[$L1-1] != $S2[$L2-1])? 1 : 0;
        // {H1,H2} are {L1,L2} with the last character chopped off
        $H1 = substr($S1, 0, $L1-1);
        $H2 = substr($S2, 0, $L2-1);
        if ($L1>1 && $L2>1 && $S1[$L1-1]==$S2[$L2-2] && $S1[$L1-2]==$S2[$L2-1]) {
            return min (
                DamerauLevenshtein($H1, $S2) + 1,
                DamerauLevenshtein($S1, $H2) + 1,
                DamerauLevenshtein($H1, $H2) + $substitutionCost,
                DamerauLevenshtein(substr($S1, 0, $L1-2), substr($S2, 0, $L2-2)) + 1
            );
        }
        return min (
            DamerauLevenshtein($H1, $S2) + 1,
            DamerauLevenshtein($S1, $H2) + 1,
            DamerauLevenshtein($H1, $H2) + $substitutionCost
        );
    }
}
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