Xoroshiro128+¶

class randomgen.xoroshiro128.Xoroshiro128(seed=None, *, plusplus=False, mode='sequence')¶

Container for the xoroshiro128+/++ pseudo-random number generator.

Parameters:¶

seed=None¶

Entropy initializing the pseudo-random number generator. Can be an integer in [0, 2**64), array of integers in [0, 2**64), a SeedSequence, or None (the default). If seed is None, then data is read from /dev/urandom (or the Windows analog) if available. If unavailable, a hash of the time and process ID is used.

plusplus=False¶

Whether to use the ++ version (xoroshiro128++). The default is False which uses the xoroshiro128+ PRNG which

mode='sequence'¶

Deprecated parameter. Do not use.

lock¶

Lock instance that is shared so that the same bit git generator can be used in multiple Generators without corrupting the state. Code that generates values from a bit generator should hold the bit generator’s lock.

Type:¶

threading.Lock

seed_seq¶

The SeedSequence instance used to initialize the generator if mode is “sequence” or is seed is a SeedSequence.

Type:¶

{None, SeedSequence}

Notes

xoroshiro128+ is the successor to xorshift128+ written by David Blackman and Sebastiano Vigna. It is a 64-bit PRNG that uses a carefully handcrafted shift/rotate-based linear transformation. This change both improves speed and statistical quality of the PRNG [1]. xoroshiro128+ has a period of \(2^{128} - 1\) and supports jumping the sequence in increments of \(2^{64}\), which allows multiple non-overlapping sequences to be generated. xoroshiro128++ improves xoroshiro128+ to remove some low-frequency correlation.

Xoroshiro128 provides a capsule containing function pointers that produce doubles, and unsigned 32 and 64- bit integers. These are not directly consumable in Python and must be consumed by a Generator or similar object that supports low-level access.

See Xorshift1024 for a related PRNG with a larger period (\(2^{1024} - 1\)) and jump size (\(2^{512} - 1\)).

State and Seeding

The Xoroshiro128 state vector consists of a 2-element array of 64-bit unsigned integers.

Xoroshiro128 is seeded using either a single 64-bit unsigned integer or a vector of 64-bit unsigned integers. In either case, the seed is used as an input for another simple random number generator, SplitMix64, and the output of this PRNG function is used as the initial state. Using a single 64-bit value for the seed can only initialize a small range of the possible initial state values.

Parallel Features

Xoroshiro128 can be used in parallel applications by calling the method jump which advances the state as-if \(2^{64}\) random numbers have been generated. This allows the original sequence to be split so that distinct segments can be used in each worker process. All generators should be initialized with the same seed to ensure that the segments come from the same sequence.

>>> from numpy.random import Generator
>>> from randomgen import Xoroshiro128
>>> rg = [Generator(Xoroshiro128(1234)) for _ in range(10)]
# Advance each Xoroshiro128 instance by i jumps
>>> for i in range(10):
...     rg[i].bit_generator.jump(i)

Compatibility Guarantee

Xoroshiro128 makes a guarantee that a fixed seed will always produce the same random integer stream.

Examples

Using the preferred version Xoroshiro128++

>>> from numpy.random import Generator
>>> from randomgen import Xoroshiro128
>>> rg = Generator(Xoroshiro128(1234, plusplus=True))
>>> rg.standard_normal()
0.123  # random

References

Seeding and State¶

Parallel generation¶

Extending¶

Testing¶