Creating 2-D matrix in php - php

Question

The thing is I have to create a 2D matrix in php where each row and column must have a key. I tried to do this but what happens is that a 2-D array is created which does not resemble a matrix. I used the following code:
$x=$row['start_id'];
$y=$row['dest_id'];
$d=$row['distance'];
$this->map[$x][$y]=$d;
Here map is the intended matrix. The intention of this code is to create an adjacency matrix and then fill the unset cells with maximum distance. $x, $y and $d in above code are derived from result of a mysql query.
Sample Output:
Array (
[10010012] => Array (
[10010013] => 2
[10010016] => 8
)
[10010016] => Array (
[10010015] => 5
)
[10010013] => Array (
[10010014] => 7
[10010016] => 3
)
[10010014] => Array (
[10010015] => 2
)
)
Now the problem is that I am not able to fill the empty cells
e.g. row key =>[10010012] and column key=>[10010015] (Not able to set value)
Any help is appreciated. If possible also mention how to traverse through such matrices.
I am a relative beginner and have tried my best to explain my problem. However if you find any shortcomings please point them out.
Edit: The matrix is not a square one.

Answer 1

That would be
$this->map[10010012][10010015]= MAX_DISTANCE;
On the other hand, why do you want to set all empty/non-existing cell to MAX_DISTANCE? You can leave the map incomplete and whenever a cell does not exist you assume MAX_DISTANCE as its value.
edit: simple example
define('MAX_DISTANCE', PHP_INT_MAX);
$map = array(
10010012 => array ( 10010013 => 2, 10010016 => 8),
10010016 => array ( 10010015 => 5 ),
10010013 => array ( 10010014 => 7, 10010016 => 3),
10010014 => array ( 10010015 => 2 )
);
function getValue(&$map, $x, $y) {
return isset($map[$x][$y]) ? $map[$x][$y] : MAX_DISTANCE;
}
function setValue(&$map, $x, $y, $value) {
if ( !isset($map[$x]) ) {
$map[$x] = array($y => $value);
}
else {
$map[$x][$y] = $value;
}
}
// get an "existing" value from $map
echo getValue($map, 10010012, 10010016), "\n";
// get a "non-existing" value from $map
echo getValue($map, 10010014, 10010016), "\n";
// set a "new" value
setValue($map, 10010014, 10010016, 5);
// $map has been altered
var_dump($map[10010014]);
prints
8
2147483647
array(2) {
[10010015]=>
int(2)
[10010016]=>
int(5)
}