查找字符串数组的公共前缀

bum*_*box 14 php string algorithm

我有这样一个数组:

$sports = array(
'Softball - Counties',
'Softball - Eastern',
'Softball - North Harbour',
'Softball - South',
'Softball - Western'
);
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我想找到字符串最长的公共前缀.在这种情况下,它会'Softball - '

我在想我会遵循这个过程

$i = 1;

// loop to the length of the first string
while ($i < strlen($sports[0]) {

  // grab the left most part up to i in length
  $match = substr($sports[0], 0, $i);

  // loop through all the values in array, and compare if they match
  foreach ($sports as $sport) {

     if ($match != substr($sport, 0, $i) {
         // didn't match, return the part that did match
         return substr($sport, 0, $i-1);
     }

  } // foreach

   // increase string length
   $i++;
} // while

// if you got to here, then all of them must be identical
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问题

  1. 是否有内置函数或更简单的方法?

  2. 对于我的5行阵列来说可能没什么问题,但是如果我要做几千行数组,会有很多开销,所以我必须用我的起始值计算移动$i,例如$i=字符串的中途,如果它失败,然后$i/2直到它工作,然后递增$i1直到我们成功.因此,我们正在进行最少数量的比较以获得结果.

是否有针对此类问题的公式/算法?

Gum*_*mbo 14

我会用这个:

$prefix = array_shift($array);  // take the first item as initial prefix
$length = strlen($prefix);
// compare the current prefix with the prefix of the same length of the other items
foreach ($array as $item) {
    // check if there is a match; if not, decrease the prefix by one character at a time
    while ($length && substr($item, 0, $length) !== $prefix) {
        $length--;
        $prefix = substr($prefix, 0, -1);
    }
    if (!$length) {
        break;
    }
}
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更新    这是另一种解决方案,迭代地比较字符串的每个第n个字符,直到找到不匹配:

$pl = 0; // common prefix length
$n = count($array);
$l = strlen($array[0]);
while ($pl < $l) {
    $c = $array[0][$pl];
    for ($i=1; $i<$n; $i++) {
        if ($array[$i][$pl] !== $c) break 2;
    }
    $pl++;
}
$prefix = substr($array[0], 0, $pl);
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因为只有在最这是更有效的numberOfStrings · commonPrefixLength原子比较.


Gus*_*ram 10

如果您可以对阵列进行排序,那么就有一个简单而快速的解决方案.

只需将第一项与最后一项进行比较即可.

如果字符串已排序,则所有字符串共有的任何前缀对于排序的第一个和最后一个字符串都是通用的.

sort($sport);

$s1 = $sport[0];               // First string
$s2 = $sport[count($sport)-1]; // Last string
$len = min(strlen($s1), strlen($s2));

// While we still have string to compare,
// if the indexed character is the same in both strings,
// increment the index. 
for ($i=0; $i<$len && $s1[$i]==$s2[$i]; $i++); 

$prefix = substr($s1, 0, $i);
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  • @ NathanJ.Brauer排序字符串对它们进行排序,因此所有字符串共有的任何前缀对于第一个和最后一个字符串也是通用的.因此,我们只需要比较第一个和最后一个字符串来确定公共前缀. (4认同)
  • 辉煌; 使用已经优化的排序算法,因此不需要花费精力优化这个特殊的代码. (2认同)

por*_*org 9

我在代码中实现了@diogoriba算法,结果如下:

  • 查找前两个字符串的公共前缀,然后将其与从第3个字符串开始的所有后续字符串进行比较,并在没有找到常见字符串的情况下修剪公共字符串,在前缀中有更多共同点而不是不同的情况下获胜.
  • 但是,bumperbox的原始算法(错误修正除外)赢得了字符串在其前缀中的共同点少于不同的地方.代码注释中的详细信息!

我实施的另一个想法:

首先检查数组中最短的字符串,并将其用于比较而不是简单的第一个字符串.在代码中,这是使用自定义编写函数arrayStrLenMin()实现的.

  • 可以显着降低迭代次数,但函数arrayStrLenMin()本身可能会导致(或多或少)迭代.
  • 简单地从数组中第一个字符串的长度开始看起来非常笨拙,但如果arrayStrLenMin()需要多次迭代,可能会变得有效.

使用尽可能少的迭代获取数组中字符串的最大公共前缀(PHP)

代码+广泛测试+备注:

function arrayStrLenMin ($arr, $strictMode = false, $forLoop = false) {
    $errArrZeroLength = -1; // Return value for error: Array is empty
    $errOtherType = -2;     // Return value for error: Found other type (than string in array)
    $errStrNone = -3;       // Return value for error: No strings found (in array)

    $arrLength = count($arr);
    if ($arrLength <= 0 ) { return $errArrZeroLength; }
    $cur = 0;

    foreach ($arr as $key => $val) {
        if (is_string($val)) {
            $min = strlen($val);
            $strFirstFound = $key;
            // echo("Key\tLength / Notification / Error\n");
            // echo("$key\tFound first string member at key with length: $min!\n");
            break;
        }
        else if ($strictMode) { return $errOtherType; } // At least 1 type other than string was found.
    }
    if (! isset($min)) { return $errStrNone; } // No string was found in array.

    // SpeedRatio of foreach/for is approximately 2/1 as dicussed at:
    // http://juliusbeckmann.de/blog/php-foreach-vs-while-vs-for-the-loop-battle.html

    // If $strFirstFound is found within the first 1/SpeedRatio (=0.5) of the array, "foreach" is faster!

    if (! $forLoop) {
        foreach ($arr as $key => $val) {
            if (is_string($val)) {
                $cur = strlen($val);
                // echo("$key\t$cur\n");
                if ($cur == 0) { return $cur; } // 0 is the shortest possible string, so we can abort here.
                if ($cur < $min) { $min = $cur; }
            }
        // else { echo("$key\tNo string!\n"); }
        }
    }

    // If $strFirstFound is found after the first 1/SpeedRatio (=0.5) of the array, "for" is faster!

    else {
        for ($i = $strFirstFound + 1; $i < $arrLength; $i++) {
            if (is_string($arr[$i])) {
                $cur = strlen($arr[$i]);
                // echo("$i\t$cur\n");
                if ($cur == 0) { return $cur; } // 0 is the shortest possible string, so we can abort here.
                if ($cur < $min) { $min = $cur; }
            }
            // else { echo("$i\tNo string!\n"); }
        }
    }

    return $min;
}

function strCommonPrefixByStr($arr, $strFindShortestFirst = false) {
    $arrLength = count($arr);
    if ($arrLength < 2) { return false; }

    // Determine loop length
    /// Find shortest string in array: Can bring down iterations dramatically, but the function arrayStrLenMin() itself can cause ( more or less) iterations.
    if ($strFindShortestFirst) { $end = arrayStrLenMin($arr, true); }
    /// Simply start with length of first string in array: Seems quite clumsy, but may turn out effective, if arrayStrLenMin() needs many iterations.
    else { $end = strlen($arr[0]); }

    for ($i = 1; $i <= $end + 1; $i++) {
        // Grab the part from 0 up to $i
        $commonStrMax = substr($arr[0], 0, $i);
        echo("Match: $i\t$commonStrMax\n");
        // Loop through all the values in array, and compare if they match
        foreach ($arr as $key => $str) {
            echo("  Str: $key\t$str\n");
            // Didn't match, return the part that did match
            if ($commonStrMax != substr($str, 0, $i)) {
                    return substr($commonStrMax, 0, $i-1);
            }
        }
    }
    // Special case: No mismatch (hence no return) happened until loop end!
    return $commonStrMax; // Thus entire first common string is the common prefix!
}

function strCommonPrefixByChar($arr, $strFindShortestFirst = false) {
    $arrLength = count($arr);
    if ($arrLength < 2) { return false; }

    // Determine loop length
    /// Find shortest string in array: Can bring down iterations dramatically, but the function arrayStrLenMin() itself can cause ( more or less) iterations.
    if ($strFindShortestFirst) { $end = arrayStrLenMin($arr, true); }
    /// Simply start with length of first string in array: Seems quite clumsy, but may turn out effective, if arrayStrLenMin() needs many iterations.
    else { $end = strlen($arr[0]); }

    for ($i = 0 ; $i <= $end + 1; $i++) {
        // Grab char $i
        $char = substr($arr[0], $i, 1);
        echo("Match: $i\t"); echo(str_pad($char, $i+1, " ", STR_PAD_LEFT)); echo("\n");
        // Loop through all the values in array, and compare if they match
        foreach ($arr as $key => $str) {
            echo("  Str: $key\t$str\n");
            // Didn't match, return the part that did match
            if ($char != $str[$i]) { // Same functionality as ($char != substr($str, $i, 1)). Same efficiency?
                    return substr($arr[0], 0, $i);
            }
        }
    }
    // Special case: No mismatch (hence no return) happened until loop end!
    return substr($arr[0], 0, $end); // Thus entire first common string is the common prefix!
}


function strCommonPrefixByNeighbour($arr) {
    $arrLength = count($arr);
    if ($arrLength < 2) { return false; }

    /// Get the common string prefix of the first 2 strings
    $strCommonMax = strCommonPrefixByChar(array($arr[0], $arr[1]));
    if ($strCommonMax === false) { return false; }
    if ($strCommonMax == "") { return ""; }
    $strCommonMaxLength = strlen($strCommonMax);

    /// Now start looping from the 3rd string
    echo("-----\n");
    for ($i = 2; ($i < $arrLength) && ($strCommonMaxLength >= 1); $i++ ) {
        echo("  STR: $i\t{$arr[$i]}\n");

        /// Compare the maximum common string with the next neighbour

        /*
        //// Compare by char: Method unsuitable!

        // Iterate from string end to string beginning
        for ($ii = $strCommonMaxLength - 1; $ii >= 0; $ii--) {
            echo("Match: $ii\t"); echo(str_pad($arr[$i][$ii], $ii+1, " ", STR_PAD_LEFT)); echo("\n");
            // If you find the first mismatch from the end, break.
            if ($arr[$i][$ii] != $strCommonMax[$ii]) {
                $strCommonMaxLength = $ii - 1; break;
                // BUT!!! We may falsely assume that the string from the first mismatch until the begining match! This new string neighbour string is completely "unexplored land", there might be differing chars closer to the beginning. This method is not suitable. Better use string comparison than char comparison.
            }
        }
        */

        //// Compare by string

        for ($ii = $strCommonMaxLength; $ii > 0; $ii--) {
            echo("MATCH: $ii\t$strCommonMax\n");
            if (substr($arr[$i],0,$ii) == $strCommonMax) {
                break;
            }
            else {
                $strCommonMax = substr($strCommonMax,0,$ii - 1);
                $strCommonMaxLength--;
            }
        }
    }
    return substr($arr[0], 0, $strCommonMaxLength);
}





// Tests for finding the common prefix

/// Scenarios

$filesLeastInCommon = array (
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/2",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/1",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/2",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/c/1",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
);

$filesLessInCommon = array (
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/2",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/1",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/2",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/c/1",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
);

$filesMoreInCommon = array (
"/Voluuuuuuuuuuuuuumes/1/a/a/1",
"/Voluuuuuuuuuuuuuumes/1/a/a/2",
"/Voluuuuuuuuuuuuuumes/1/a/b/1",
"/Voluuuuuuuuuuuuuumes/1/a/b/2",
"/Voluuuuuuuuuuuuuumes/2/a/b/c/1",
"/Voluuuuuuuuuuuuuumes/2/a/a/1",
);

$sameDir = array (
"/Volumes/1/a/a/",
"/Volumes/1/a/a/aaaaa/2",
);

$sameFile = array (
"/Volumes/1/a/a/1",
"/Volumes/1/a/a/1",
);

$noCommonPrefix = array (
"/Volumes/1/a/a/",
"/Volumes/1/a/a/aaaaa/2",
"Net/1/a/a/aaaaa/2",
);

$longestLast = array (
"/Volumes/1/a/a/1",
"/Volumes/1/a/a/aaaaa/2",
);

$longestFirst = array (
"/Volumes/1/a/a/aaaaa/1",
"/Volumes/1/a/a/2",
);

$one = array ("/Volumes/1/a/a/aaaaa/1");

$empty = array ( );


// Test Results for finding  the common prefix

/*

I tested my functions in many possible scenarios.
The results, the common prefixes, were always correct in all scenarios!
Just try a function call with your individual array!

Considering iteration efficiency, I also performed tests:

I put echo functions into the functions where iterations occur, and measured the number of CLI line output via:
php <script with strCommonPrefixByStr or strCommonPrefixByChar> | egrep "^  Str:" | wc -l   GIVES TOTAL ITERATION SUM.
php <Script with strCommonPrefixByNeighbour> | egrep "^  Str:" | wc -l   PLUS   | egrep "^MATCH:" | wc -l   GIVES TOTAL ITERATION SUM.

My hypothesis was proven:
strCommonPrefixByChar wins in situations where the strings have less in common in their beginning (=prefix).
strCommonPrefixByNeighbour wins where there is more in common in the prefixes.

*/

// Test Results Table
// Used Functions | Iteration amount | Remarks

// $result = (strCommonPrefixByStr($filesLessInCommon)); // 35
// $result = (strCommonPrefixByChar($filesLessInCommon)); // 35 // Same amount of iterations, but much fewer characters compared because ByChar instead of ByString!
// $result = (strCommonPrefixByNeighbour($filesLessInCommon)); // 88 + 42 = 130 // Loses in this category!

// $result = (strCommonPrefixByStr($filesMoreInCommon)); // 137
// $result = (strCommonPrefixByChar($filesMoreInCommon)); // 137 // Same amount of iterations, but much fewer characters compared because ByChar instead of ByString!
// $result = (strCommonPrefixByNeighbour($filesLeastInCommon)); // 12 + 4 = 16 // Far the winner in this category!

echo("Common prefix of all members:\n");
var_dump($result);





// Tests for finding the shortest string in array

/// Arrays

// $empty = array ();
// $noStrings = array (0,1,2,3.0001,4,false,true,77);
// $stringsOnly = array ("one","two","three","four");
// $mixed = array (0,1,2,3.0001,"four",false,true,"seven", 8888);

/// Scenarios

// I list them from fewest to most iterations, which is not necessarily equivalent to slowest to fastest!
// For speed consider the remarks in the code considering the Speed ratio of foreach/for!

//// Fewest iterations (immediate abort on "Found other type", use "for" loop)

// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
//  echo("NEW ANALYSIS:\n");
//  echo("Result: " . arrayStrLenMin($arr, true, true) . "\n\n");
// }

/* Results:

    NEW ANALYSIS:
    Result: Array is empty!

    NEW ANALYSIS:
    Result: Found other type!

    NEW ANALYSIS:
    Key Length / Notification / Error
    0   Found first string member at key with length: 3!
    1   3
    2   5
    3   4
    Result: 3

    NEW ANALYSIS:
    Result: Found other type!

*/

//// Fewer iterations (immediate abort on "Found other type", use "foreach" loop)

// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
//  echo("NEW ANALYSIS:\n");
//  echo("Result: " . arrayStrLenMin($arr, true, false) . "\n\n");
// }

/* Results:

    NEW ANALYSIS:
    Result: Array is empty!

    NEW ANALYSIS:
    Result: Found other type!

    NEW ANALYSIS:
    Key Length / Notification / Error
    0   Found first string member at key with length: 3!
    0   3
    1   3
    2   5
    3   4
    Result: 3

    NEW ANALYSIS:
    Result: Found other type!

*/

//// More iterations (No immediate abort on "Found other type", use "for" loop)

// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
//  echo("NEW ANALYSIS:\n");
//  echo("Result: " . arrayStrLenMin($arr, false, true) . "\n\n");
// }

/* Results:

    NEW ANALYSIS:
    Result: Array is empty!

    NEW ANALYSIS:
    Result: No strings found!

    NEW ANALYSIS:
    Key Length / Notification / Error
    0   Found first string member at key with length: 3!
    1   3
    2   5
    3   4
    Result: 3

    NEW ANALYSIS:
    Key Length / Notification / Error
    4   Found first string member at key with length: 4!
    5   No string!
    6   No string!
    7   5
    8   No string!
    Result: 4

*/


//// Most iterations (No immediate abort on "Found other type", use "foreach" loop)

// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
//  echo("NEW ANALYSIS:\n");
//  echo("Result: " . arrayStrLenMin($arr, false, false) . "\n\n");
// }

/* Results:

    NEW ANALYSIS:
    Result: Array is empty!

    NEW ANALYSIS:
    Result: No strings found!

    NEW ANALYSIS:
    Key Length / Notification / Error
    0   Found first string member at key with length: 3!
    0   3
    1   3
    2   5
    3   4
    Result: 3

    NEW ANALYSIS:
    Key Length / Notification / Error
    4   Found first string member at key with length: 4!
    0   No string!
    1   No string!
    2   No string!
    3   No string!
    4   4
    5   No string!
    6   No string!
    7   5
    8   No string!
    Result: 4

*/
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  • 请参阅Gustav Bertram的最新答案(目前远未见下),通过首先*排序*字符串列表来避免所有这些.这样做的好处是,您可以利用已经存在的优化排序方法.因此可以轻松实现简单的解决方案,而无需花费精力优化! (2认同)

cha*_*aos 7

可能会有一些非常受欢迎的算法,但是如果你知道你的共性会像你的例子一样在左侧,你可以做得比你发布的方法更好.通过首先找到前两个字符串的共性,然后迭代列表的其余部分,根据需要修剪公共字符串以实现通用性,或者如果一直修剪为无效则终止失败.


小智 7

我认为你的方式正确.但是,当所有字符串都通过时,您可以执行以下操作,而不是递增i:

1)比较数组中的前2个字符串,找出它们有多少常见字符.例如,将常用字符保存在名为maxCommon的单独字符串中.

2)比较第三个字符串w/maxCommon.如果常用字符数较小,请将maxCommon修剪为匹配的字符.

3)重复并冲洗阵列的其余部分.在该过程结束时,maxCommon将具有所有数组元素共有的字符串.

这会增加一些开销,因为你需要比较每个字符串w/maxCommon,但是会大大减少你获得结果所需的迭代次数.