Mersenne Twister - Advantages

Advantages

The commonly used variant of Mersenne Twister, MT19937, which produces a sequence of 32-bit integers, has the following desirable properties:

  1. It has a very long period of 219937 − 1. While a long period is not a guarantee of quality in a random number generator, short periods (such as the 232 common in many software packages) can be problematic.
  2. It is k-distributed to 32-bit accuracy for every 1 ≤ k ≤ 623 (see definition below).
  3. It passes numerous tests for statistical randomness, including the Diehard tests. It passes most, but not all, of the even more stringent TestU01 Crush randomness tests.

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