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phppermutationcombinatorics

Get all permutations of a PHP array?


Given a PHP array of strings, e.g.:

['peter', 'paul', 'mary']

How to generate all possible permutations of elements of this array? i.e.:

peter-paul-mary
peter-mary-paul
paul-peter-mary
paul-mary-peter
mary-peter-paul
mary-paul-peter

Solution

  • function pc_permute($items, $perms = array()) {
        if (empty($items)) { 
            echo join(' ', $perms) . "<br />";
        } else {
            for ($i = count($items) - 1; $i >= 0; --$i) {
                 $newitems = $items;
                 $newperms = $perms;
                 list($foo) = array_splice($newitems, $i, 1);
                 array_unshift($newperms, $foo);
                 pc_permute($newitems, $newperms);
             }
        }
    }
    
    $arr = array('peter', 'paul', 'mary');
    
    pc_permute($arr);
    

    or

    function pc_next_permutation($p, $size) {
        // slide down the array looking for where we're smaller than the next guy
        for ($i = $size - 1; $p[$i] >= $p[$i+1]; --$i) { }
    
        // if this doesn't occur, we've finished our permutations
        // the array is reversed: (1, 2, 3, 4) => (4, 3, 2, 1)
        if ($i == -1) { return false; }
    
        // slide down the array looking for a bigger number than what we found before
        for ($j = $size; $p[$j] <= $p[$i]; --$j) { }
    
        // swap them
        $tmp = $p[$i]; $p[$i] = $p[$j]; $p[$j] = $tmp;
    
        // now reverse the elements in between by swapping the ends
        for (++$i, $j = $size; $i < $j; ++$i, --$j) {
             $tmp = $p[$i]; $p[$i] = $p[$j]; $p[$j] = $tmp;
        }
    
        return $p;
    }
    
    $set = split(' ', 'she sells seashells'); // like array('she', 'sells', 'seashells')
    $size = count($set) - 1;
    $perm = range(0, $size);
    $j = 0;
    
    do { 
         foreach ($perm as $i) { $perms[$j][] = $set[$i]; }
    } while ($perm = pc_next_permutation($perm, $size) and ++$j);
    
    foreach ($perms as $p) {
        print join(' ', $p) . "\n";
    }
    

    http://docstore.mik.ua/orelly/webprog/pcook/ch04_26.htm