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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"
<https://pracrand.sourceforge.net/RNG_engines.txt>`_
.. [2] `"Random Invertible Mapping Statistics"
<https://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
needs an argument%.200s() %stakes no keyword argumentstakes exactly one argument%.200s() %s (%zd given)takes no argumentsBad call flags for CyFunction_cython_3_1_4<cyfunction %U at %p>__pyx_capi____loader__loader__file__origin__package__parent__path__submodule_search_locationskeywords must be stringsan integer is required__setstate_cython__exactly<stringsource>name '%U' is not definednumpy/random/_sfc64.pyxat mostat least__init__Missing type object__reduce_cython__assignment__del__builtinscython_runtime__builtins__does not matchnumpy._core._multiarray_umathnumpy.core._multiarray_umath_ARRAY_API_ARRAY_API is NULL pointerBitGeneratornumpy.random.bit_generatornumpydtypeflatiterbroadcastndarraygenericnumberunsignedintegerinexactcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSequencedoubleLEGACY_POISSON_LAM_MAXuint64_tMAXSIZEinit numpy.random._sfc64numpy.random._common__reduce____module____dictoffset____vectorcalloffset____weaklistoffset__func_doc__doc__func_name__name____qualname__func_dict__dict__func_globals__globals__func_closure__closure__func_code__code__func_defaults__defaults____kwdefaults____annotations___is_coroutinenumpy.random._sfc64.SFC64statestate must be for a {self.__class__.__name__} RNGself._bitgen cannot be converted to a Python object for picklingnumpy._core.umath failed to importnumpy._core.multiarray failed to importSFC64.__setstate_cython__SFC64.__reduce_cython__state must be a dictnumpy.random._sfc64cline_in_tracebackasyncio.coroutines__setstate_cython__generate_state__reduce_cython__bit_generator<stringsource>_is_coroutine_initializingImportError__pyx_vtable__has_uint32ValueError__reduce_ex____pyx_stateisenabledTypeErroruinteger__setstate____set_name____qualname____getstate__disableuint64__reduce____module__enablestatenumpyemptydtype__class__SFC64__test____spec__selfseed__name____main____init____func__popget__all__npgc?ۯ
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