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HBI¤ÁLIƒÀHFLÀH6LÎH?L‰OL‰GH¹¤]Æí`#H¯ÈIºEöÌŸdß…CI÷âHÊI¯òHÖLÀLÎH‰H‰w]Ãf.fUH‰åHH@H‰HHH‰FHH@H‰FHH@H‰FGG ]ÃfDUH‰åLLFHL‰HL‰LFHvHL‰@H‰p‰W‰O ]Ãÿ%²+ÿ%´+ÿ%¶+ÿ%¸+ÿ%º+ÿ%¼+ÿ%¾+ÿ%À+ÿ%Â+ÿ%Ä+ÿ%Æ+ÿ%È+ÿ%Ê+ÿ%Ì+ÿ%Î+ÿ%Ð+ÿ%Ò+ÿ%Ô+ÿ%Ö+ÿ%Ø+ÿ%Ú+ÿ%Ü+ÿ%Þ+ÿ%à+ÿ%â+ÿ%ä+ÿ%æ+ÿ%è+ÿ%ê+ÿ%ì+ÿ%î+ÿ%ð+ÿ%ò+ÿ%ô+ÿ%ö+ÿ%ø+ÿ%ú+ÿ%ü+ÿ%þ+ÿ%,ÿ%,ÿ%,ÿ%,ÿ%,ÿ%
,ÿ% ,ÿ%,ÿ%,ÿ%,ÿ%,ÿ%,ÿ%,ÿ%,ÿ%,ÿ%,ÿ% ,ÿ%",ÿ%$,ÿ%&,ÿ%(,ÿ%*,ÿ%,,ÿ%.,ÿ%0,ÿ%2,ÿ%4,ÿ%6,ÿ%8,ÿ%:,ÿ%<,ÿ%>,ÿ%@,ÿ%B,ÿ%D,ÿ%F,ÿ%H,ÿ%J,ÿ%L,ÿ%N,ÿ%P,ÿ%R,ÿ%T,ÿ%V,ÿ%X,ÿ%Z,ÿ%\,héJh"é@h<é6hYé,hsé"h‰ééééúéðhéæhéÜh3éÒhPéÈhdé¾hxé´h—éªé é–éŒé‚héxhénh2édhKéZh_éPhzéFh™é<é2é(héhéh*é
hHéh`éöh{éìh•éâéØéÎéÄéºh é°h&é¦h;éœhXé’hnéˆé~étéjé`éVhéLh3éBhOé8hhé.h‡é$h ééééühéòh!éèh:éÞhYéÔhréÊéÀé¶é¬é¢é˜hÿéŽhé„h-ézhGéph`éfh}é\éRéHé>é4hé*h8é haéh~é h•éL%ASÿ%I&éæÿÿÿ <ImportErrorPCG64PCG64DXSMTypeErrorValueError__all__bit_generator__class__cline_in_tracebackemptyformatgenerate_stateget__getstate__has_uint32__import__incjumps__main____name__npnumpy.core.multiarray failed to importnumpy.core.umath failed to import__pyx_vtable____reduce____reduce_ex__seedself._bitgen,self.rng_state cannot be converted to a Python object for pickling__setstate__state must be a dictstate must be for a {0} RNG__test__uint64uintegeradvance__reduce_cython____setstate_cython__state__init__numpydtype_pcg64nameloader__loader__origin__file__parent__package__submodule_search_locations__path__Interpreter change detected - this module can only be loaded into one interpreter per process.Module '_pcg64' has already been imported. Re-initialisation is not supported.builtinscython_runtime__builtins__numpy.random._pcg64init numpy.random._pcg64%d.%dcompiletime version %s of module '%.100s' does not match runtime version %s_pcg64.pyxstringsource18446744073709551616210306068529402873165736369884012333109name '%U' is not definednumpy.random.bit_generatorBitGenerator%.200s.%.200s is not a type object%.200s.%.200s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd from PyObject%s.%s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd from PyObjectnumpy.random._pcg64.PCG64.jump_inplace while calling a Python objectNULL result without error in PyObject_Callnumpy.random._pcg64.PCG64
PCG64(seed=None)
BitGenerator for the PCG-64 pseudo-random number generator.
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
-----
PCG-64 is a 128-bit implementation of O'Neill's permutation congruential
generator ([1]_, [2]_). PCG-64 has a period of :math:`2^{128}` and supports
advancing an arbitrary number of steps as well as :math:`2^{127}` streams.
The specific member of the PCG family that we use is PCG XSL RR 128/64
as described in the paper ([2]_).
``PCG64`` 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.
Supports the method :meth:`advance` to advance the RNG an arbitrary number of
steps. The state of the PCG-64 RNG is represented by 2 128-bit unsigned
integers.
**State and Seeding**
The ``PCG64`` state vector consists of 2 unsigned 128-bit values,
which are represented externally as Python ints. One is the state of the
PRNG, which is advanced by a linear congruential generator (LCG). The
second is a fixed odd increment used in the LCG.
The input seed is processed by `SeedSequence` to generate both values. The
increment is not independently settable.
**Parallel Features**
The preferred way to use a BitGenerator in parallel applications is to use
the `SeedSequence.spawn` method to obtain entropy values, and to use these
to generate new BitGenerators:
>>> from numpy.random import Generator, PCG64, SeedSequence
>>> sg = SeedSequence(1234)
>>> rg = [Generator(PCG64(s)) for s in sg.spawn(10)]
**Compatibility Guarantee**
``PCG64`` makes a guarantee that a fixed seed will always produce
the same random integer stream.
References
----------
.. [1] `"PCG, A Family of Better Random Number Generators"
<http://www.pcg-random.org/>`_
.. [2] O'Neill, Melissa E. `"PCG: A Family of Simple Fast Space-Efficient
Statistically Good Algorithms for Random Number Generation"
<https://www.cs.hmc.edu/tr/hmc-cs-2014-0905.pdf>`_
jumpednumpy.random._pcg64.PCG64.jumped%.200s() keywords must be strings%s() got an unexpected keyword argument '%U'%s() got multiple values for keyword argument '%U'at leastat most%.200s() takes %.8s %zd positional argument%.1s (%zd given)sMissing type objectCannot convert %.200s to %.200snumpy.random._pcg64.PCG64.advancenumpy.random._pcg64.PCG64.__reduce_cython__calling %R should have returned an instance of BaseException, not %Rraise: exception class must be a subclass of BaseExceptionnumpy.random._pcg64.PCG64.__setstate_cython__
Get or set the PRNG state
Returns
-------
state : dict
Dictionary containing the information required to describe the
state of the PRNG
numpy.random._pcg64.PCG64.state.__get____del__numpy.random._pcg64.PCG64.state.__set__value too large to convert to intintan integer is required__int__ returned non-int (type %.200s). The ability to return an instance of a strict subclass of int is deprecated, and may be removed in a future version of Python.__%.4s__ returned non-%.4s (type %.200s)value too large to convert to uint32_tcan't convert negative value to uint32_tnumpy.random._pcg64.PCG64.__init__Unable to initialize pickling for %snumpy.random._pcg64.PCG64DXSM.jump_inplacenumpy.random._pcg64.PCG64DXSM
PCG64DXSM(seed=None)
BitGenerator for the PCG-64 DXSM pseudo-random number generator.
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
-----
PCG-64 DXSM is a 128-bit implementation of O'Neill's permutation congruential
generator ([1]_, [2]_). PCG-64 DXSM has a period of :math:`2^{128}` and supports
advancing an arbitrary number of steps as well as :math:`2^{127}` streams.
The specific member of the PCG family that we use is PCG CM DXSM 128/64. It
differs from ``PCG64`` in that it uses the stronger DXSM output function,
a 64-bit "cheap multiplier" in the LCG, and outputs from the state before
advancing it rather than advance-then-output.
``PCG64DXSM`` 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.
Supports the method :meth:`advance` to advance the RNG an arbitrary number of
steps. The state of the PCG-64 DXSM RNG is represented by 2 128-bit unsigned
integers.
**State and Seeding**