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The Cliff random number
generator(53)
is a very simple random number generator that "passes the noise sphere test
for randomness by showing no structure."
It is easily programmed, in less than 10 lines of awk code:
# cliff_rand.awk --- generate Cliff random numbers
BEGIN { _cliff_seed = 0.1 }
function cliff_rand()
{
    _cliff_seed = (100 * log(_cliff_seed)) % 1
    if (_cliff_seed < 0)
        _cliff_seed = - _cliff_seed
    return _cliff_seed
}
 | 
This algorithm requires an initial "seed" of 0.1.  Each new value
uses the current seed as input for the calculation.
If the built-in rand function
(see section 9.1.2 Numeric Functions)
isn't random enough, you might try using this function instead.