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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 intvalue too large to convert to uint32_tcan't convert negative value to uint32_t%.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 PyObject%.200s does not export expected C variable %.200sC variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)Cannot convert %.200s to %.200sInterpreter change detected - this module can only be loaded into one interpreter per process.%s() got multiple values for keyword argument '%U'%.200s() keywords must be strings%s() got an unexpected keyword argument '%U'calling %R should have returned an instance of BaseException, not %Rraise: exception class must be a subclass of BaseExceptionModule '_pcg64' has already been imported. Re-initialisation is not supported.compiletime version %s of module '%.100s' does not match runtime version %s210306068529402873165736369884012333109Unable to initialize pickling for %sinvalid vtable found for imported type%.200s does not export expected C function %.200sPyObject *(PyObject *, PyObject *)C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)numpy.random._pcg64.PCG64.state.__get__numpy.random._pcg64.PCG64.__setstate_cython__numpy.random._pcg64.PCG64.__reduce_cython__numpy.random._pcg64.PCG64.advancenumpy.random._pcg64.PCG64.jump_inplacenumpy.random._pcg64.PCG64.jumped%.200s() takes %.8s %zd positional argument%.1s (%zd given)numpy.random._pcg64.PCG64.__init__numpy.random._pcg64.PCG64.state.__set__ PCG64(seed_seq=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 and will always produce the same random integer stream. References ---------- .. [1] `"PCG, A Family of Better Random Number Generators" `_ .. [2] O'Neill, Melissa E. `"PCG: A Family of Simple Fast Space-Efficient Statistically Good Algorithms for Random Number Generation" `_ Get or set the PRNG state Returns ------- state : dict Dictionary containing the information required to describe the state of the PRNG an integer is required__pyx_capi__Missing type objectname '%U' is not definedname__loader__loader__file__origin__package__parent__path__submodule_search_locationsnumpy/random/_pcg64.c%s (%s:%d)%d.%d%s_pcg64.pyxbuiltinscython_runtime__builtins__18446744073709551616__init__.pxdstringsourceBitGeneratornumpy.random._bit_generatortype.pxdnumpydtypeflatiterbroadcastndarrayufunc_bit_generator.pxdSeedSequenceSeedlessSequencedoubleLEGACY_POISSON_LAM_MAXuint64_tMAXSIZEwrap_intinit numpy.random._pcg64numpy.random._commonat mostat leastjumped__init____del__numpy.random._pcg64.PCG64stateadvance__reduce_cython____setstate_cython__`Pp Format string allocated too short.self._bitgen,self.rng_state cannot be converted to a Python object for picklingnumpy.core.umath failed to importNon-native byte order not supportedFormat string allocated too short, see comment in numpy.pxdunknown dtype code in numpy.pxd (%d)numpy.core.multiarray failed to importstate must be for a {0} RNGstate must be a dictcline_in_traceback__setstate_cython__generate_state__reduce_cython__bit_generatorRuntimeErrorImportError__pyx_vtable__has_uint32ValueError__reduce_ex__TypeErroruinteger__setstate____getstate__advanceuint64__reduce____import__formatstatenumpyjumpsemptydtype__class__PCG64__test__seed__name____main____init__incget__all__np<;1TY ZZ[%\ *]h]]X^^^0C_X_$a(cz ||}} }8}P~h8~8(xhx8x(؆ (`Xhx8  ذ @ ( X (x zRx $PRFJ w?;*3$"D8zg\zt{xp{x{&Da{({T{BEE A(A0G@j 0A(A BBBI { 0A(A BBBE ,DVcBID D0K AABtVA<|3AD A AI G AH  AH ^ AI ,}AD  AK w AA }D6WBEH D(D0G0A(A BBB$dWGADA |ACDWBLE E(D0A8DP8A0A(B BBBXD$7Y?AGA pDA4NYZBGD ~ ABE CAB,LpYYBDG D0C AAB|Y;Ay$YWAGD0EDA4YBEG D(D@p(A ABB,8ZTBAA LAB,{wD` A L0|wDb A _ A $l|At B \ A GLZBEB B(A0E8G8A0A(B BBBT|BAA z ABG D ABI A OBN A DBE L<P}BBB E(D0A8Gp 8D0A(B BBBG <OBBA A(D@ (A ABBI L!BED A(G@ (D ABBG l (D ABBK d@BBB E(D0C8F 8A0A(B BBBF / 8A0A(B BBBG L[BBB B(A0A8J8A0A(B BBBL(BBB B(A0A8Dp- 8D0A(B BBBH <$BBA A(D0 (C ABBE <dBBA A(D0 (C ABBE LXeBBB E(A0A8JP  8D0A(B BBBC LxBBB B(A0A8G`* 8A0A(B BBBK dDBBE B(A0A8G` 8C0A(B BBBA  8D0A(B BBBH dp BBB B(D0A8G! 8A0A(B BBBA  8F0A(B BBBC L BBB B(A0D8D`o 8A0A(B BBBF d o D| BKB B(A0D8r 0A(B BBEA  xMAN |A zBw 5 0+0WV  P/ l  o   X& oooo v/////////00&060F0V0f0v00000000011&161F1V1f1v11111111122&262F2V2f2v22222222233&363F3V3f3v33333333344&464F4V4f4v444444444 advance(delta) Advance the underlying RNG as-if delta draws have occurred. Parameters ---------- delta : integer, positive Number of draws to advance the RNG. Must be less than the size state variable in the underlying RNG. Returns ------- self : PCG64 RNG advanced delta steps Notes ----- Advancing a RNG updates the underlying RNG state as-if a given number of calls to the underlying RNG have been made. In general there is not a one-to-one relationship between the number output random values from a particular distribution and the number of draws from the core RNG. This occurs for two reasons: * The random values are simulated using a rejection-based method and so, on average, more than one value from the underlying RNG is required to generate an single draw. * The number of bits required to generate a simulated value differs from the number of bits generated by the underlying RNG. For example, two 16-bit integer values can be simulated from a single draw of a 32-bit RNG. Advancing the RNG state resets any pre-computed random numbers. This is required to ensure exact reproducibility. jumped(jumps=1) Returns a new bit generator with the state jumped. Jumps the state as-if jumps * 210306068529402873165736369884012333109 random numbers have been generated. Parameters ---------- jumps : integer, positive Number of times to jump the state of the bit generator returned Returns ------- bit_generator : PCG64 New instance of generator jumped iter times Notes ----- The step size is phi-1 when multiplied by 2**128 where phi is the golden ratio. ! !!< !# !M  !$ !  !  !@  !  !s  !Op !h !D` !2P ! @ !0 ! ! ! ! !@ !  !h  !  !< !3  ! !*  !!  !Lp !` !`'P !`"@ !Y0 !  !  !~ ! !P !  ! ! ! ! ! ! p !` ! X ! %` !@!(;P?]Dp]\! !Y9k0` ? 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