The available generator algorithms and their properties are given in
the following table.
| Keyword | Generator | Multiple Stream and Substream Support | Approximate Period In Full Precision |
|---|
| mt19937ar | Mersenne twister (used by default stream at MATLAB® startup) | No | 219937-1 |
| dsfmt19937 | SIMD-oriented fast Mersenne twister | No | 219937-1 |
| mcg16807 | Multiplicative congruential generator | No | 231-2 |
| mlfg6331_64 | Multiplicative lagged Fibonacci generator | Yes | 2124 (251 streams of
length 272) |
| mrg32k3a | Combined multiple recursive generator | Yes | 2191 (263 streams of
length 2127) |
| philox4x32_10 | Philox 4x32 generator with 10 rounds | Yes | 2193 (264 streams of
length 2129) |
| threefry4x64_20 | Threefry 4x64 generator with 20 rounds | Yes | 2514 (2256 streams of
length 2258) |
| shr3cong | Shift-register generator summed with linear congruential generator | No | 264 |
| swb2712 | Modified subtract with borrow generator | No | 21492 |
See Choosing a Random Number Generator for details
about these generator algorithms.