您可以为此使用递归,或者只是直接嵌套循环,但是在使用组合或排列时,可能性的总数可能会爆炸并变成一个巨大的数字,消耗大量内存,以至于您无法运行代码。使用迭代器是用 CPU 效率换取内存效率的好方法。这是我写的一个迭代器。
class CartesianProductIterator implements Iterator {
protected $iterators;
function __construct(array $iters) {
$this->iterators = $iters;
}
function rewind() {
foreach ($this->iterators as $it) {
$it->rewind();
}
}
function current() {
$values = array();
foreach ($this->iterators as $it) {
$values[] = $it->current();
}
return $values;
}
function key() {
return null;
}
function next() {
/*
loop them in reverse, but exclude first
why? example, odometer: 55199
you always check the rightmost digit first to see if incrementing it would roll it over and need to be "rewound" to 0,
which causes the digit to the left to increase as well, which may also cause it to roll over as well, and so on...
looping in reverse operates from right column to the left.
we dont rewind the first column because if the leftmost column is on its last element and needs to roll over
then this iterator has reached its end, and so rewind() needs to be explicitly called
*/
for ($i = count($this->iterators) - 1; $i > 0; --$i) {
$it = $this->iterators[$i];
$it->next();
if ($it->valid()) {
// were done advancing because we found a column that didnt roll over
return;
} else {
$it->rewind();
}
}
//if execution reached here, then all of the columns have rolled over, so we must attempt to roll over the left most column
$this->iterators[0]->next();
}
function valid() {
return $this->iterators[0]->valid();
}
}
然后将其用作
$iterators = array();
foreach ($a as $columnNumber => $values) {
$iterators[] = new ArrayIterator($values);
}
foreach (new CartesianProductIterator($iterators) as $combo) {
// combo has 1 value from each of the ArrayIterators we instantiated
printf("summing %s = %d\n", join('+', $combo), array_sum($combo));
}
这是一个演示http://codepad.org/UasdgvWf