Shuffling arrays question

[Namir]

Does anyone know of an algorithm to shuffle an array of integers WITHOUT USING RANDOM NUMBER FUNCTIONS? I discovered a good (not the best) method for generating random numbers is that you start with an array of n elements (with values from 1 to n), shuffle the elements of that array and then divide each array element by n+1. You get a good set of random numbers. I can do the shuffling using random number functions, like randperm in Matlab. I am looking for a way to shuffle the array (initially in ascending or descending order) using clever swaps of elements. I am basically looking to transform perfect order into as perfect chaos as possible!

Namir