PHP 7.2.0 Release Candidate 4 Released

levenshtein

(PHP 4 >= 4.0.1, PHP 5, PHP 7)

levenshteinCalcule la distance Levenshtein entre deux chaînes

Description

int levenshtein ( string $str1 , string $str2 )
int levenshtein ( string $str1 , string $str2 , int $cost_ins , int $cost_rep , int $cost_del )

La distance Levenshtein est définie comme le nombre minimal de caractères qu'il faut remplacer, insérer ou supprimer pour transformer la chaîne str1 en str2. La complexité de l'algorithme est en O(m*n), où n et m sont les tailles respectives de str1 et str2 : c'est plutôt bien, en comparaison de similar_text(), qui est en O(max(n,m)**3), mais cela reste très coûteux.

Dans sa forme la plus simple, levenshtein() va prendre uniquement deux chaînes de caractères comme paramètres, et calculer simplement le nombre d'insertions, de remplacements et d'effacements nécessaires pour transformer str1 en str2.

La deuxième variante de la fonction prend trois paramètres supplémentaires qui représentent les coûts d'insertions, de remplacements et d'effacements. C'est une version plus générale de la première fonction, mais qui est un peu moins efficace.

Liste de paramètres

str1

Une des chaînes à évaluer.

str2

Une des chaînes à évaluer.

cost_ins

Définit le coût de l'insertion.

cost_rep

Définit le coût du remplacement.

cost_del

Définit le coût de l'effacement.

Valeurs de retour

Retourne la distance Levenshtein entre deux chaînes de caractères. Elle retournera -1 si l'un des deux arguments contient plus de 255 caractères.

Exemples

Exemple #1 Exemple avec levenshtein()

<?php
// mot mal orthographié
$input 'carrrot';

// tableau de mots à vérifier
$words  = array('apple','pineapple','banana','orange',
                
'radish','carrot','pea','bean','potato');

// aucune distance de trouvée pour le moment
$shortest = -1;

// boucle sur les mots pour trouver le plus près
foreach ($words as $word) {

    
// calcule la distance avec le mot mis en entrée,
    // et le mot courant
    
$lev levenshtein($input$word);

    
// cherche une correspondance exacte
    
if ($lev == 0) {

        
// le mot le plus près est celui-ci (correspondance exacte)
        
$closest $word;
        
$shortest 0;

        
// on sort de la boucle ; nous avons trouvé une correspondance exacte
        
break;
    }

    
// Si la distance est plus petite que la prochaine distance trouvée
    // OU, si le prochain mot le plus près n'a pas encore été trouvé
    
if ($lev <= $shortest || $shortest 0) {
        
// définition du mot le plus près ainsi que la distance
        
$closest  $word;
        
$shortest $lev;
    }
}

echo 
"Mot entré : $input\n";
if (
$shortest == 0) {
    echo 
"Correspondance exacte trouvée : $closest\n";
} else {
    echo 
"Vous voulez dire : $closest ?\n";
}

?>

L'exemple ci-dessus va afficher :

Mot entré : carrrot
Vous voulez dire : carrot ?

Voir aussi

add a note add a note

User Contributed Notes 28 notes

up
41
luciole75w at no dot spam dot gmail dot com
3 years ago
The levenshtein function processes each byte of the input string individually. Then for multibyte encodings, such as UTF-8, it may give misleading results.

Example with a french accented word :
- levenshtein('notre', 'votre') = 1
- levenshtein('notre', 'nôtre') = 2 (huh ?!)

You can easily find a multibyte compliant PHP implementation of the levenshtein function but it will be of course much slower than the C implementation.

Another option is to convert the strings to a single-byte (lossless) encoding so that they can feed the fast core levenshtein function.

Here is the conversion function I used with a search engine storing UTF-8 strings, and a quick benchmark. I hope it will help.

<?php
// Convert an UTF-8 encoded string to a single-byte string suitable for
// functions such as levenshtein.
//
// The function simply uses (and updates) a tailored dynamic encoding
// (in/out map parameter) where non-ascii characters are remapped to
// the range [128-255] in order of appearance.
//
// Thus it supports up to 128 different multibyte code points max over
// the whole set of strings sharing this encoding.
//
function utf8_to_extended_ascii($str, &$map)
{
   
// find all multibyte characters (cf. utf-8 encoding specs)
   
$matches = array();
    if (!
preg_match_all('/[\xC0-\xF7][\x80-\xBF]+/', $str, $matches))
        return
$str; // plain ascii string
   
    // update the encoding map with the characters not already met
   
foreach ($matches[0] as $mbc)
        if (!isset(
$map[$mbc]))
           
$map[$mbc] = chr(128 + count($map));
   
   
// finally remap non-ascii characters
   
return strtr($str, $map);
}

// Didactic example showing the usage of the previous conversion function but,
// for better performance, in a real application with a single input string
// matched against many strings from a database, you will probably want to
// pre-encode the input only once.
//
function levenshtein_utf8($s1, $s2)
{
   
$charMap = array();
   
$s1 = utf8_to_extended_ascii($s1, $charMap);
   
$s2 = utf8_to_extended_ascii($s2, $charMap);
   
    return
levenshtein($s1, $s2);
}
?>

Results (for about 6000 calls)
- reference time core C function (single-byte) : 30 ms
- utf8 to ext-ascii conversion + core function : 90 ms
- full php implementation : 3000 ms
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5
Johan Gennesson php at genjo dot fr
1 year ago
Please, be aware that:

<?php
// Levenshtein Apostrophe (U+0027 &#39;) and Right Single Quotation Mark (U+2019 &#8217;)
echo levenshtein("'", "’");
?>

will output 3!
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18
paulrowe at iname dot com
9 years ago
[EDITOR'S NOTE: original post and 2 corrections combined into 1 -- mgf]

Here is an implementation of the Levenshtein Distance calculation that only uses a one-dimensional array and doesn't have a limit to the string length. This implementation was inspired by maze generation algorithms that also use only one-dimensional arrays.

I have tested this function with two 532-character strings and it completed in 0.6-0.8 seconds.

<?php
/*
* This function starts out with several checks in an attempt to save time.
*   1.  The shorter string is always used as the "right-hand" string (as the size of the array is based on its length). 
*   2.  If the left string is empty, the length of the right is returned.
*   3.  If the right string is empty, the length of the left is returned.
*   4.  If the strings are equal, a zero-distance is returned.
*   5.  If the left string is contained within the right string, the difference in length is returned.
*   6.  If the right string is contained within the left string, the difference in length is returned.
* If none of the above conditions were met, the Levenshtein algorithm is used.
*/
function LevenshteinDistance($s1, $s2)
{
 
$sLeft = (strlen($s1) > strlen($s2)) ? $s1 : $s2;
 
$sRight = (strlen($s1) > strlen($s2)) ? $s2 : $s1;
 
$nLeftLength = strlen($sLeft);
 
$nRightLength = strlen($sRight);
  if (
$nLeftLength == 0)
    return
$nRightLength;
  else if (
$nRightLength == 0)
    return
$nLeftLength;
  else if (
$sLeft === $sRight)
    return
0;
  else if ((
$nLeftLength < $nRightLength) && (strpos($sRight, $sLeft) !== FALSE))
    return
$nRightLength - $nLeftLength;
  else if ((
$nRightLength < $nLeftLength) && (strpos($sLeft, $sRight) !== FALSE))
    return
$nLeftLength - $nRightLength;
  else {
   
$nsDistance = range(1, $nRightLength + 1);
    for (
$nLeftPos = 1; $nLeftPos <= $nLeftLength; ++$nLeftPos)
    {
     
$cLeft = $sLeft[$nLeftPos - 1];
     
$nDiagonal = $nLeftPos - 1;
     
$nsDistance[0] = $nLeftPos;
      for (
$nRightPos = 1; $nRightPos <= $nRightLength; ++$nRightPos)
      {
       
$cRight = $sRight[$nRightPos - 1];
       
$nCost = ($cRight == $cLeft) ? 0 : 1;
       
$nNewDiagonal = $nsDistance[$nRightPos];
       
$nsDistance[$nRightPos] =
         
min($nsDistance[$nRightPos] + 1,
             
$nsDistance[$nRightPos - 1] + 1,
             
$nDiagonal + $nCost);
       
$nDiagonal = $nNewDiagonal;
      }
    }
    return
$nsDistance[$nRightLength];
  }
}
?>
up
6
WiLDRAGoN
2 years ago
Some small changes allow you to calculate multiple words.

<?php

$input
= array();
$dictionary  = array();
foreach (
$input as $output) {
   
$shortest = -1;
    foreach (
$dictionary as $word) {
       
$lev = levenshtein($output, $word);
        if (
$lev == 0) {
           
$closest = $word;
           
$shortest = 0;
        }
        if (
$lev <= $shortest || $shortest < 0) {
           
$closest  = $word;
           
$shortest = $lev;
        }
    }
    echo
"Input word: $output\n";
    if (
$shortest == 0) {
        echo
"Exact match found: $closest\n";
    } else {
        echo
"Did you mean: $closest?\n";
    }
}

?>
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3
bisqwit at iki dot fi
15 years ago
At the time of this manual note the user defined thing 
in levenshtein() is not implemented yet. I wanted something
like that, so I wrote my own function. Note that this
doesn't return levenshtein() difference, but instead
an array of operations to transform a string to another.

Please note that the difference finding part (resync)
may be extremely slow on long strings.

<?php

/* matchlen(): returns the length of matching
* substrings at beginning of $a and $b
*/
function matchlen(&$a, &$b)
{
 
$c=0;
 
$alen = strlen($a);
 
$blen = strlen($b);
 
$d = min($alen, $blen);
  while(
$a[$c] == $b[$c] && $c < $d)
   
$c++;  
  return
$c;
}

/* Returns a table describing
* the differences of $a and $b */
function calcdiffer($a, $b)
{
 
$alen = strlen($a);
 
$blen = strlen($b);
 
$aptr = 0;
 
$bptr = 0;
 
 
$ops = array();
 
  while(
$aptr < $alen && $bptr < $blen)
  {
   
$matchlen = matchlen(substr($a, $aptr), substr($b, $bptr));
    if(
$matchlen)
    {
     
$ops[] = array('=', substr($a, $aptr, $matchlen));
     
$aptr += $matchlen;
     
$bptr += $matchlen;
      continue;
    }
   
/* Difference found */
    
   
$bestlen=0;
   
$bestpos=array(0,0);
    for(
$atmp = $aptr; $atmp < $alen; $atmp++)
    {
      for(
$btmp = $bptr; $btmp < $blen; $btmp++)
      {
       
$matchlen = matchlen(substr($a, $atmp), substr($b, $btmp));
        if(
$matchlen>$bestlen)
        {
         
$bestlen=$matchlen;
         
$bestpos=array($atmp,$btmp);
        }
        if(
$matchlen >= $blen-$btmp)break;
      }
    }
    if(!
$bestlen)break;
  
   
$adifflen = $bestpos[0] - $aptr;
   
$bdifflen = $bestpos[1] - $bptr;

    if(
$adifflen)
    {
     
$ops[] = array('-', substr($a, $aptr, $adifflen));
     
$aptr += $adifflen;
    }
    if(
$bdifflen)
    {
     
$ops[] = array('+', substr($b, $bptr, $bdifflen));
     
$bptr += $bdifflen;
    }
   
$ops[] = array('=', substr($a, $aptr, $bestlen));
   
$aptr += $bestlen;
   
$bptr += $bestlen;
  }
  if(
$aptr < $alen)
  {
   
/* b has too much stuff */
   
$ops[] = array('-', substr($a, $aptr));
  }
  if(
$bptr < $blen)
  {
   
/* a has too little stuff */
   
$ops[] = array('+', substr($b, $bptr));
  }
  return
$ops;
}


Example:

$tab = calcdiffer('Tm on jonkinlainen testi',
                 
'Tm ei ole minknlainen testi.'); 
$ops = array('='=>'Ok', '-'=>'Remove', '+'=>'Add');
foreach(
$tab as $k)
  echo
$ops[$k[0]], " '", $k[1], "'\n";

Example output:

Ok 'Tm '
Remove 'on jonki'
Add 'ei ole mink'
Ok 'nlainen testi'
Add '.'
up
8
dschultz at protonic dot com
17 years ago
It's also useful if you want to make some sort of registration page and you want to make sure that people who register don't pick usernames that are very similar to their passwords.
up
3
gzink at zinkconsulting dot com
13 years ago
Try combining this with metaphone() for a truly amazing fuzzy search function. Play with it a bit, the results can be plain scary (users thinking the computer is almost telepathic) when implemented properly. I wish spell checkers worked as well as the code I've written.

I would release my complete code if reasonable, but it's not, due to copyright issues. I just hope that somebody can learn from this little tip!
up
6
justin at visunet dot ie
12 years ago
<?php

   
/*********************************************************************
    * The below func, btlfsa, (better than levenstien for spelling apps)
    * produces better results when comparing words like haert against
    * haart and heart.
    *
    * For example here is the output of levenshtein compared to btlfsa
    * when comparing 'haert' to 'herat, haart, heart, harte'
    *
    * btlfsa('haert','herat'); output is.. 3
    * btlfsa('haert','haart'); output is.. 3
    * btlfsa('haert','harte'); output is.. 3
    * btlfsa('haert','heart'); output is.. 2
    *
    * levenshtein('haert','herat'); output is.. 2
    * levenshtein('haert','haart'); output is.. 1
    * levenshtein('haert','harte'); output is.. 2
    * levenshtein('haert','heart'); output is.. 2
    *
    * In other words, if you used levenshtein, 'haart' would be the
    * closest match to 'haert'. Where as, btlfsa sees that it should be
    * 'heart'
    */

   
function btlfsa($word1,$word2)
    {
       
$score = 0;

       
// For each char that is different add 2 to the score
        // as this is a BIG difference

       
$remaindsp; tg function LevenshteinDit">1], $remaindsp; tg function LevenshteinDit">1]], 'nlainen testi'
'Tan class="default">btlfsa(<).efault">$remaindsp; t">1]], 'nlainen testi'
'Tan class="default">btlfsa,$btmp

  &nbssp;   $remaindsp; tg function LevenshteinDit">1], $remaindsp; tg function LevenshteinDit">1]], 'nlainen testi'
'Tan class="default">btlfsa,$remaindsp; t">1]], 'nlainen testi'
'Tan class="default">btlfsa+ )
    {
  span class="keyword">)
   an class="default">$remaindsp; tg = strlen+ strlen,0;

&nbsTakeansform a stringrch ut ins
ing spanitclass="comment">// For each char that is differan class="default">btlfsa)
   an class="default">$remaindsp; tg = strlen+ )
    {
&nw2_)
   an class="default">$remaindsp; tg = strlen,$btmp

  span clpan class="keyword">,
$bptr )
    {
&nw2_$cLeft1w2_1w1_,
0;

&nbsCde>// For each char that is differentAng spanitclass="commen i.e like haert against// For each char that is differenth th bspt">// For each char that is different1n c3 4 5like haert against// For each char that is differenth a tbspthat is diffethat isa For each char that is differ=nbsp;   * levenshthat is different1n c3 4 5 diffethat is1n c3 4 5like haert against// t">// For each char that is differan class="default">btlfsa    $bdifflen )
    {
&nw2_$cLeft,)
    {
&nw2r />   
$bdifflen )
    {
&nw2_$cLeft<2r />   
= -ord">++)
    {
   
$score =   if($bptr an>= strlen+ ,$btmp$word2yword">yword">g">\ !issetspan class="default">strlen,<>$ops,<]) class="default">$shortest + $ops,<] ! class="default">$bdifflen ,<>$ops,<] pan class="default">$btmpbtmp$word2yword">yword">$btmp
  pan class="keyword">,
$word
);
  }an>pan>));
  pan class="keyword">,
$bdifflen< <?php/ r />    /*********************************p/ H
&a fualmoI'vend heartshowth it a re
        an class="keyword">));
&nmiss * Te="keyword">);
 
= -<?php/ Imagin to transfse sures heartsugglasstein(hrd yeback by sbsp;ex orpcode">));
&nbugglassteinkeyword">);
 
pan class="default">$ops
'T>= -= -,<?php/ Firstly ornbssan't retuba; &nowrote my own like haert against));
¬e my own _ornbse="keyword">);
 
pan class="default">$yword">ord">1));
&nbugglassteinkeyword">);
  $tab );
  $word2
)
    {
¬e my own _ornbse=pan class="keyword">,
<>$ops,<] $lev = levenshtein'Tan class="default">btlfsa,$yword">ifflen;
  &aclasass="keyword">=
levenshtein," '");
      if (1$closest" '"_pan class="keyword">, substr,$yword">p>    if (1],
<?php/ Secondly ornbssan't retuba; &nowrr example here is the outppan class="default">substr);
 
pan class="default">$yword">ord">1));
&nbugglassteinkeyword">);
  $tab );
  $word2
)
    {
&nr exam_ornbse=pan class="keyword">,
<>$ops,<] $lev function btlfsa'Tan class="default">btlfsa,$yword">ifflen;
  &aclasass="keyword">=
levenshtein," '");
      if (1$closest" '"_pan class="keyword">, substr,$yword">p>    if (1],
substr}

'.'
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dschultz at protoni0796odeie ¶0/a>
10796odus ago
itiv>&(sp;PHP 4.4.2 tramay be extremely slow on long $distan>function $score = leven />'Tan class="default"> />, pan class="default">substrfunction  pan class="default">], substr&nbssurerusers thhe be Try combining eatke some s to ssp; p; *
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gzink at zinkconsulti107114odeie
107114odus ago
"us up /
itivityiv claeafor sp.****re surecircumstan>felling if you witclaspan> benshtein, sp;nbspt retodHtrings="cne; *nbsp; />itivity: spell checker
may be extremely slow on br />    * 'heart'
    */

    = strlen)
  echo " '";

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&nbzinclas"keyword">);
 
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&n>= <"keyword">);
 
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&n>=     * cpan class="default">$ops
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  echo " '"tolow class="keyword">= calc>" '"," '",substr}

up

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gzink at zinkconsulti106381odeie
106381odus ago
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    * class="default">$bdifflen ,
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ubaass="ar dschultz at protoni486odeie ¶7/a>
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dschultz at proton6327400eie
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    $ops = -core     btlfsaan class="keyword">= <[span class="default">$blen= <][span class="default">$blen= $blen    btlfsa    btlfsaan class="keyword">= <[span class="default">$blen= <][span class="default">$blen= -$blen    $bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bdlt">$bda BIG difference

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&nbp />   
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'.'
5069900e>
50699 id="Vu7658"> up 50699 id="Vu7658"> down
6
dschultz at proton5069900eie
¶2/a>
5069900us ago
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'.' 12164400e>
121644 id="Vu7658"> up 121644 id="Vu7658"> 6 dschultz at proton12164400eie ¶ monih class="date" title="2000-08-10 09:01">12164400us ago
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'.' 12112100e>
121121 id="Vu7658"> up 121121 id="Vu7658"> 6 dschultz at proton12112100eie ¶4 monihiv class="date" title="2000-08-10 09:01">12112100us ago
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11776700us ago
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118694 id="Vu7658"> up 118694 id="Vu7658"> 6 dschultz at proton11869400eie ¶ a>11869400us ago
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8260500e>
82605 id="Vu7658"> up 82605 id="Vu7658"> 6 dschultz at proton8260500eie ¶9/a>
8260500us ago
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1264500e>
12645 id="Vu7658"> up 12645 id="Vu7658"> 6 dschultz at proton1264500eie ¶16/a>
1264500us ago
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'.' 5356200e>
53562 id="Vu7658"> up 53562 id="Vu7658"> 6 dschultz at proton5356200eie ¶12/a>
5356200us ago
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'.' 3690000e>
36900 id="Vu7658"> up 36900 id="Vu7658"> 6 dschultz at proton3690000eie ¶3/a>
3690000us ago
Fohav>&ass"intelligt;?p/evenaris betwesp cla Fobe written inta DBdydexistent cla. Ns="ony calculasth idisthul6srbushalsFobalhulth idisthul6srord1substrplass=pan class="default">"><?php*plass=Tdis;/"> calculas>&a balhuled perce;?ageidisthul6 betwesp a"$reevspa sndia/evenared san c "$evenared", balhuled through aweighes "$weighe". Tde threeaaan cs must/hav>&laeas"> indil6spart (rForiantunbalhuled disthul6, seshall weighes Fo1.plass=Td&ausedrordmula isss="defperce;?ageidisthul6 =asum(field_lehref="/ma_disthul6 *efield_weighe) /ssum(reevsp_field_le;gth *efield_weighe) *sn00fflen<*/class=pan class="keyword">,
   
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3687700e>
36877 id="Vu7658"> up 36877 id="Vu7658"> 6 dschultz at proton3687700eie ¶3/a>
3687700us ago
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8350100e>
83501 id="Vu7658"> up 83501 id="Vu7658"> 6 dschultz at proton8350100eie ¶9/a>
8350100us ago
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'.' 2067000e>
20670 id="Vu7658"> up 20670 id="Vu7658"> dschultz at proton2067000eie ¶5/a>
2067000us ago