Iteration across M x N matrix in pseudocode?

Question

Well, I can't post code because of some bug, so I'm going to pseudocode you guys. Please, respond with code and math. I am terrible at math, and trying to figure math out via code is an impossible task for me.

My psuedocode uses only numbers and letters, which will form a 2x2 matrix, but I want to be able to iterate across m by n matrices in this fashion. I just think that it's easier to go from specific (no variables) to general (variable-inclusive).

Letter a, letter b; number 1, number 2 ==>

Letter a id=1, letter b id=1 | 
number 1 id=1, number 2 id=2 |
Letter_by_Number 1by1, Letter_by_Number 1by2, Letter_by_Number 2by1, Letter_by_Number 2by2

Can anyone tell me how to do this in C++, Python, PHP's SimpleXML, or XSL? If I can get the math down in any of these languages, I think I can figure everything else out.

Answer 1

Something like this?

$m = 2; 
$n = 2; 

for($i = 1; $i <= $m; $i++) {
    for($j = 1; $j <= $n; $j++) {
         echo $i." x ".$j."\n"; 
    }
}

Results:

1 x 1
1 x 2
2 x 1
2 x 2

Answer 2

You just want to iterate through a 2-dimensional array. In pseudocode you'd do something like:

for ( i = 0; i < M; i++ ) {
  for ( j = 0; j < N; j++ ) {
    do stuff with array element i,j
  }
}