JavaScript pseudo-random sequence generator

Question

I need to generate a deterministic (i.e. repeatable) sequence of pseudo-random numbers given an initial seed and select the nth item from that sequence.

If JavaScript's random function was seedable, I could just do:

function randomNth(seed, seq)
{
    var r;
    Math.randomSeed(seed);
    for (var i = 0; i++ < seq; i++)
    {
        r = Math.random();
    }
    return r;
}

However, it's not, and alternative, seedable PRNGs look to be a little slow; asking for the 250th number would be expensive.

I think a hash is what I want here, perhaps something like md5(seed + seq) % max but JavaScript doesn't have md5() and if I'm doing it in code there's probably a better choice of hash.

I'd like a function where

x = randomNth(seed, seq, maxVal) // x is int && x >= 0 && x < maxVal

or, ideally

x = randomNth(seed, seq) // x >= 0 && x < 1, same as Math.random()

Other requirements:

• must run in node.js and in a browser
• numbers should be statistically random (or close enough as the period will be small)
• should be O(1) and reasonably performant

Answer 1

Use this Mersenne Twister implementation in javascript.

Answer 2

Donald Knuth may be of help : http://www-cs-faculty.stanford.edu/~uno/news02.html#rng

Answer 3

There are some good int -> int hashing functions on this page you can use one of them.

function hash(a)
{
    a = (a+0x7ed55d16) + (a<<12);
    a = (a^0xc761c23c) ^ (a>>19);
    a = (a+0x165667b1) + (a<<5);
    a = (a+0xd3a2646c) ^ (a<<9);
    a = (a+0xfd7046c5) + (a<<3);
    a = (a^0xb55a4f09) ^ (a>>16);
    if( a < 0 ) a = 0xffffffff + a;
    return a;
}
var seed = 26254;
var index = 250;
alert( hash( seed + index ) );

Answer 4

In the end I used a suggestion from a (non-SO) friend. I went with CRC32() as this is extremely fast and gives decently random values.

return crc32(seq + seed) % maxVal;

A run of eight million produced the following distribution for maxVal = 8:

0 999998

1 999998

2 1000007

3 1000003

4 1000001

5 1000003

6 999992

7 999998

I also ran "Marsaglia's famous "Die Hard" battery of tests" mentioned in the Donald Knuth page Hans mentioned, the results of which are here: CRC32() for random numbers Diehard results. The short version is that it fails miserably (for such a small amount of test data), but it's still good enough for my needs where it is generating numbers in a small range.