我很惊讶没有人提到array_key_first()

对于您的测试用例:

$sequentialArray = array('apple', 'orange', 'tomato', 'carrot');
$isIndexedArray = is_int( array_key_first($sequentialArray) ); // true

而

$assocArray = array('fruit1' => 'apple', 
                'fruit2' => 'orange', 
                'veg1' => 'tomato', 
                'veg2' => 'carrot');

$isIndexedArray = is_int( array_key_first($assocArray) ); // false

在这里阅读更多关于这个函数的信息。

你问了两个不完全等价的问题:

首先，如何确定数组是否只有数字键 其次，如何确定数组是否具有从0开始的连续数字键

考虑一下哪些行为是你真正需要的。(也许对你来说，这两种方法都可以。)

第一个问题(简单地检查所有键是否都是数字)由kurO船长回答得很好。

对于第二个问题(检查数组是否为0索引和顺序)，您可以使用以下函数:

function isAssoc(array $arr)
{
    if (array() === $arr) return false;
    return array_keys($arr) !== range(0, count($arr) - 1);
}

var_dump(isAssoc(['a', 'b', 'c'])); // false
var_dump(isAssoc(["0" => 'a', "1" => 'b', "2" => 'c'])); // false
var_dump(isAssoc(["1" => 'a', "0" => 'b', "2" => 'c'])); // true
var_dump(isAssoc(["a" => 'a', "b" => 'b', "c" => 'c'])); // true

function is_associative($arr) {
  return (array_merge($arr) !== $arr || count(array_filter($arr, 'is_string', ARRAY_FILTER_USE_KEY)) > 0);
}

我认为标量数组的定义因应用程序而异。也就是说，一些应用程序将需要更严格的定义标量数组，而一些应用程序将需要更宽松的定义。

下面我将介绍3种不同严格程度的方法。

<?php
/**
 * Since PHP stores all arrays as associative internally, there is no proper
 * definition of a scalar array.
 * 
 * As such, developers are likely to have varying definitions of scalar array,
 * based on their application needs.
 * 
 * In this file, I present 3 increasingly strict methods of determining if an
 * array is scalar.
 * 
 * @author David Farrell <DavidPFarrell@gmail.com>
 */

/**
 * isArrayWithOnlyIntKeys defines a scalar array as containing
 * only integer keys.
 * 
 * If you are explicitly setting integer keys on an array, you
 * may need this function to determine scalar-ness.
 * 
 * @param array $a
 * @return boolean
 */ 
function isArrayWithOnlyIntKeys(array $a)
{
    if (!is_array($a))
        return false;
    foreach ($a as $k => $v)
        if (!is_int($k))
            return false;
    return true;
}

/**
 * isArrayWithOnlyAscendingIntKeys defines a scalar array as
 * containing only integer keys in ascending (but not necessarily
 * sequential) order.
 * 
 * If you are performing pushes, pops, and unsets on your array,
 * you may need this function to determine scalar-ness.
 * 
 * @param array $a
 * @return boolean
 */ 
function isArrayWithOnlyAscendingIntKeys(array $a)
{
    if (!is_array($a))
        return false;
    $prev = null;
    foreach ($a as $k => $v)
    {
        if (!is_int($k) || (null !== $prev && $k <= $prev))
            return false;
        $prev = $k;
    }
    return true;
}

/**
 * isArrayWithOnlyZeroBasedSequentialIntKeys defines a scalar array
 * as containing only integer keys in sequential, ascending order,
 * starting from 0.
 * 
 * If you are only performing operations on your array that are
 * guaranteed to either maintain consistent key values, or that
 * re-base the keys for consistency, then you can use this function.
 * 
 * @param array $a
 * @return boolean
 */
function isArrayWithOnlyZeroBasedSequentialIntKeys(array $a)
{
    if (!is_array($a))
        return false;
    $i = 0;
    foreach ($a as $k => $v)
        if ($i++ !== $k)
            return false;
    return true;
}

我知道在这个庞大的队列中添加答案有点毫无意义，但这里有一个可读的O(n)解决方案，不需要复制任何值:

function isNumericArray($array) {
    $count = count($array);
    for ($i = 0; $i < $count; $i++) {
        if (!isset($array[$i])) {
            return FALSE;
        }
    }
    return TRUE;
}

不是检查键是否都是数字，而是遍历数字数组的键并确保它们存在。

只是补充我的意见，我认为它应该是相当有效的基于@nonsensei的基准，以及清晰易读:

function is_associative(array $array): bool
{
    foreach ($array as $key => $value)
    {
        if (!is_string($key)) return false;
    }
    return true;
}