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SFC64(seed=None)
BitGenerator for Chris Doty-Humphrey's Small Fast Chaotic PRNG.
Parameters
----------
seed : {None, int, array_like[ints], SeedSequence}, optional
A seed to initialize the `BitGenerator`. If None, then fresh,
unpredictable entropy will be pulled from the OS. If an ``int`` or
``array_like[ints]`` is passed, then it will be passed to
`SeedSequence` to derive the initial `BitGenerator` state. One may also
pass in a `SeedSequence` instance.
Notes
-----
``SFC64`` is a 256-bit implementation of Chris Doty-Humphrey's Small Fast
Chaotic PRNG ([1]_). ``SFC64`` has a few different cycles that one might be
on, depending on the seed; the expected period will be about
:math:`2^{255}` ([2]_). ``SFC64`` incorporates a 64-bit counter which means
that the absolute minimum cycle length is :math:`2^{64}` and that distinct
seeds will not run into each other for at least :math:`2^{64}` iterations.
``SFC64`` 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.
**State and Seeding**
The ``SFC64`` state vector consists of 4 unsigned 64-bit values. The last
is a 64-bit counter that increments by 1 each iteration.
The input seed is processed by `SeedSequence` to generate the first
3 values, then the ``SFC64`` algorithm is iterated a small number of times
to mix.
**Compatibility Guarantee**
``SFC64`` makes a guarantee that a fixed seed will always produce the same
random integer stream.
References
----------
.. [1] `"PractRand"
<http://pracrand.sourceforge.net/RNG_engines.txt>`_
.. [2] `"Random Invertible Mapping Statistics"
<http://www.pcg-random.org/posts/random-invertible-mapping-statistics.html>`_
Get or set the PRNG state
Returns
-------
state : dict
Dictionary containing the information required to describe the
state of the PRNG
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