Convert function from recursion to iteration
I have this function that I wrote that is abysmally slow since php does not handle recursion well. I am trying to convert it to a while loop, but am having trouble wrapping my head around how to do it.
Can anyone give me some tips?
public function findRoute($curLoc, $distanceSoFar, $expectedValue) {
$this->locationsVisited[$curLoc] = true;
$expectedValue += $this->locationsArray[$curLoc]*$distanceSoFar;
$at_end = true;
for($i = 1; $i < $this->numLocations; $i++) {
if($this->locationsVisited[$i] == false) {
$at_end = false;
if($expectedValue < $this->bestEV)
$this->findRoute($i, $distanceSoFar + $this->distanceArray[$curLoc][$i], $expectedValue);
}
}
$this->locationsVisited[$curLoc] = false;
if($at_end) {
if($expectedValue < $this->bestEV) {
$this->bestEV = $ex开发者_JS百科pectedValue;
}
}
}
I'm not going to convert your code, but you can convert a recusive function into an iterative one by creating a stack:
$stack= array();
And instead of invoking $this->findroute()
, push your parameters onto this stack:
$stack[] = array($i, $distanceSoFar + $this->distanceArray[$curLoc][$i], $expectedValue);
Now surround basically everything in your function into a while loop draining the stack after having primed it:
while ($stack) {
// Do stuff you already do in your function here
You can convert a recursive function into an iterative function by using a stack to store the current state. Look into array_push()
and array_pop()
.
At a glance I don't think recursion is your problem, yes it's slow in PHP, but It looks like your going over values more than you need to, putting the values in a stack, or several stacks and handling them, may be nice.
custom sort functions have always helped me with problems of this sort.
function sort_by_visited($x,$y)
{
return ($this->locationsVisited[$x] > $this->locationsVisited[$y]) ? -1 : 1;
}
uasort($locationsVisited,'sort_by_visited');
This will prioritize all not visited locations at the top of the stack.
This looks like your trying to find the optimal route for traversal of a series of nodes in a graph.
I'm guessing that you've not studied Computer Science as the "Travelling Salesman" problem is an archetype of Artificial Intelligence. Of course, as such, it has its own Wikipedia page:
http://en.wikipedia.org/wiki/Travelling_salesman_problem
Sorry - but just swapping from a recursive to an iterative function isn't going to make it go any faster ("php does not handle recursion well." - can you provide reference for this assertion). If you need a faster solution then you'll need to look at non-exhaustive/fuzzy methods.
C.
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