Advantages
The commonly used variant of Mersenne Twister, MT19937, which produces a sequence of 32-bit integers, has the following desirable properties:
- 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.
- It is k-distributed to 32-bit accuracy for every 1 ≤ k ≤ 623 (see definition below).
- 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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