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ImA n A=HHt$(IH1A] _H@`HHHLHHHpHgK HD$H9u_D HAHHtoHtUHHL$OHL$IH)HqHV0HH50OxHHHpH)HV0QAHH IH)DyL $NL $HHILHIFLMK L $ML%J L $H QA;$P  1L $HLAIML $H QP A$=H @9Mz H+HCL $HP0L $uLJ1 uH{Ht$( AH(H=LjJMH HH H5cH8KH - AH=胐.@Ht$(LL $~L $IH@`HHHLIHHpHH HD$H9u_DA I@HHtoHtULLD$MLD$II(IpLV0LH5-uIHHpI(LV0APA@HH II(EhI9 AHoHG H5H87JH=#L $"KL $E1XHyoKHk|LB1 uI~L $Ht$(H AL $IJ@$L $KL $HIxHF H5 H8xIL $H@`HoHH_LIHNHF HD$I9GIOIGHHH5-HcHEwAI/IGLP0AGAOHH HHcAH9tH4F H5eH8HI/IGLP0vEwAGAOHH HcAH9wI/ALQ0LH5+IsIHLIHcAH9HDjIH6GWIHtH'E H5y)H8GYHLLD$LD$HI#HD$I9AuuIAIAHHtuE1Ht%ALLD$LL$FLL$LD$II)IALD$LP0LD$LH5&nLD$HIkAQAAHH IEi1HLFL $I DHZH@ H5$H84C?H@ LD$H54 H8CLD$I(I@LP0H= L $CL $EE1L $9DL $HIuH? H5O H8BL $RHF`HkHH[HHL$HL$HI@HD$I9AuBLHL$LL${LL$HL$II)IAHL$LP0HL$LH5W%HL$mHL$HIu^CHH.? H5#H8AHF`HLHH<LLD$LD$HI!HD$I9AuBLLD$LL$zLL$LD$II)IALD$LP0LD$nLH5$LD$AlLD$HIu1ɺAH=LD$sBLD$HRH>> H5"H8@LD$2@BHH> H5b"H8@HA`HHHLIHHD$I9Gu#LlI/yIGLP0jLH5#QkIHuHA`HTHHDLHH3HD$H9Au.HHL$~lHL$AH)HAHP0HH5 #jHHu LL$H%= H5LD$H8I?LD$LL$@HH< H5 !H8Z?H@`HHHLHHHD$H9Au.HHL$HL$AH)HAHP0HH5,"iHHu7H3@H H.< H5H8>@HH; H5' H8v>LD$?LD$HJH; H5H8C>LD$*M ASHL$?HL$HHW; H5H8=HL$H: H5H8=>?H H; H5`H8=?HH: H57H8=1ɺAL $IH@`HHHLD$LLL$LL$LD$HIHD$I9BuVLLL$LD$LT$GvLT$LD$ILL$I*IBLL$LLD$P0LL$LD$LH5 LD$gLD$LL$HIuILL$LD$=LD$LL$HuH5H9 HH@HHxuH@H1E11HLLMLHL9DAAut@HcLAtHDt#HcLIE1LHH<AHH__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)%.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)%.200s does not export expected C function %.200sC function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)Interpreter change detected - this module can only be loaded into one interpreter per process.value too large to convert to int%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 BaseException while calling a Python objectcan't convert negative value to uint64_tcan't convert negative value to uint32_tvalue too large to convert to uint32_tNULL result without error in PyObject_Callnumpy.random._philox.Philox.__setstate_cython__numpy.random._philox.Philox.__reduce_cython__numpy.random._philox.Philox.advanceModule '_philox' has already been imported. Re-initialisation is not supported.compiletime version %s of module '%.100s' does not match runtime version %s340282366920938463463374607431768211456Unable to initialize pickling for %sinvalid vtable found for imported typePyObject *(PyObject *, PyObject *)PyArrayObject *(PyObject *, PyObject *, PyObject *, PyObject *)_ARRAY_API is not PyCapsule objectmodule compiled against ABI version 0x%x but this version of numpy is 0x%xmodule compiled against API version 0x%x but this version of numpy is 0x%xFATAL: module compiled as unknown endianFATAL: module compiled as little endian, but detected different endianness at runtimenumpy.random._philox.Philox.jumpedCannot convert %.200s to %.200s%.200s() takes %.8s %zd positional argument%.1s (%zd given)numpy.random._philox.Philox.jump_inplacenumpy.random._philox.Philox.state.__get__numpy.random._philox.Philox.__init__numpy.random._philox.Philox.state.__set__ Philox(seed=None, counter=None, key=None) Container for the Philox (4x64) 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. counter : {None, int, array_like}, optional Counter to use in the Philox state. Can be either a Python int (long in 2.x) in [0, 2**256) or a 4-element uint64 array. If not provided, the RNG is initialized at 0. key : {None, int, array_like}, optional Key to use in the Philox state. Unlike ``seed``, the value in key is directly set. Can be either a Python int in [0, 2**128) or a 2-element uint64 array. `key` and ``seed`` cannot both be used. Attributes ---------- lock: threading.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. Notes ----- Philox is a 64-bit PRNG that uses a counter-based design based on weaker (and faster) versions of cryptographic functions [1]_. Instances using different values of the key produce independent sequences. Philox has a period of :math:`2^{256} - 1` and supports arbitrary advancing and jumping the sequence in increments of :math:`2^{128}`. These features allow multiple non-overlapping sequences to be generated. ``Philox`` 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 ``Philox`` state vector consists of a 256-bit value encoded as a 4-element uint64 array and a 128-bit value encoded as a 2-element uint64 array. The former is a counter which is incremented by 1 for every 4 64-bit randoms produced. The second is a key which determined the sequence produced. Using different keys produces independent sequences. The input ``seed`` is processed by `SeedSequence` to generate the key. The counter is set to 0. Alternately, one can omit the ``seed`` parameter and set the ``key`` and ``counter`` directly. **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, Philox, SeedSequence >>> sg = SeedSequence(1234) >>> rg = [Generator(Philox(s)) for s in sg.spawn(10)] ``Philox`` can be used in parallel applications by calling the ``jumped`` method to advances the state as-if :math:`2^{128}` random numbers have been generated. Alternatively, ``advance`` can be used to advance the counter for any positive step in [0, 2**256). When using ``jumped``, all generators should be chained to ensure that the segments come from the same sequence. >>> from numpy.random import Generator, Philox >>> bit_generator = Philox(1234) >>> rg = [] >>> for _ in range(10): ... rg.append(Generator(bit_generator)) ... bit_generator = bit_generator.jumped() Alternatively, ``Philox`` can be used in parallel applications by using a sequence of distinct keys where each instance uses different key. >>> key = 2**96 + 2**33 + 2**17 + 2**9 >>> rg = [Generator(Philox(key=key+i)) for i in range(10)] **Compatibility Guarantee** ``Philox`` makes a guarantee that a fixed ``seed`` will always produce the same random integer stream. Examples -------- >>> from numpy.random import Generator, Philox >>> rg = Generator(Philox(1234)) >>> rg.standard_normal() 0.123 # random References ---------- .. [1] John K. Salmon, Mark A. Moraes, Ron O. Dror, and David E. Shaw, "Parallel Random Numbers: As Easy as 1, 2, 3," Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC11), New York, NY: ACM, 2011. Get or set the PRNG state Returns ------- state : dict Dictionary containing the information required to describe the state of the PRNG __pyx_capi__name__loader__loader__file__origin__package__parent__path__submodule_search_locationscannot import name %San integer is requiredname '%U' is not definednumpy/random/_philox.c%s (%s:%d)stringsource_philox.pyx%d.%d%sbuiltinscython_runtime__builtins__numpy.random.bit_generatorBitGeneratornumpydtypeflatiterbroadcastndarraygenericnumberunsignedintegerinexactcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSequencenumpy.random._commondoubleLEGACY_POISSON_LAM_MAXuint64_tMAXSIZEwrap_intint_to_arraynumpy.core._multiarray_umath_ARRAY_API_ARRAY_API not found_ARRAY_API is NULL pointer__init__.pxdnumpy.import_arrayinit numpy.random._philoxat leastat mostjumpedMissing type object__init____del__numpy.random._philox.Philoxstateadvance__reduce_cython____setstate_cython__HHPHH`HD|`0lLcDself._bitgen,self.rng_state cannot be converted to a Python object for picklingseed and key cannot be both usednumpy.core.umath failed to importnumpy.core.multiarray failed to importstate must be for a {0} PRNGstate must be a dictcline_in_traceback__setstate_cython__dummy_threadinggenerate_state__reduce_cython__bit_generatorImportError__pyx_vtable__has_uint32buffer_posValueErrorthreading__reduce_ex__TypeErroruinteger__setstate____getstate__counteradvanceuint64__reduce____import__formatbufferPhiloxstaterangenumpyjumpsemptydtype__class____test__stepseed__name____main____init__Lockkeyget__all__np<;20 v,DTGJ 9"\""8#P!$$D% m@ `AAA A4Bx CC DE@FF pG4IJ@L|O`PP4Rt@UX Z4 \ b0 dl e fD q u D ` 0 P zRx $`FJ w?;*3$"Dx?0X?&DapY?@?BEB D(D0G@p 0A(A BBBH @~A| C j F PBEH D(D0GxHfA\0D(A BBB8T~{BEE G(A0](C BBB$SADA JAADBEE L(D0A8B@8C0A(B BBBDBEE L(D0A8B@8C0A(B BBB8H^BHD D(GPm(A ABB8bBEA A(A0N(D ABB0xAAD0g AAB DAA>f$HADA AA(0>ADD U DAE <\ ?AD A AI  AH ^ AI G AH oyLJYDA A(A0IE0A(A ABBA8yBEB A(A0(D BBB@?yD` D \@@s$p@At K Z F Id4A[BEE B(A0D8H] 8A0A(B BBBF  8F0A(B BBBA D,CsCA e DBN AABDh \HChBBE B(D0A8G@WHJPGXC`AhBpI@o 8D0A(B BBBF 4zoIA A(A0(D ABBLDlPBB A(A0\(A MBEIP080GBHD D(D0s (D ABBF (lPHmADG e DAJ <H0AD h AJ F AA J AM G AH PI@QBB A(A0 (H BFBE pP0<,pL`EBB A(A0 (A OBBH (lOiAD z AH  AH LPjBED A(GP (D ABBC n (D ABBI R@BBB B(D0C8Fp 8A0A(B BBBL O 8A0A(B BBBG mxTAABAAAAAIp 8A0A(B BBBF 8XRBBA A(D0 (C ABBF 8YRBBA A(D0 (C ABBF L ZaBBA D(J0 (D ABBE @ (D ABBG H\ BBB B(D0A8G8A0A(B BBBT [% BBB E(A0A8D`ehHpYhF`^ 8D0A(B BBBH X |eBBB D(A0D@- 0A(A BBBD  0C(A BBBK H\ iBBB B(A0A8D` 8D0A(B BBBC \ 4#BBB B(D0A8DzL`Fa 8C0A(B BBBF H (BBB B(A0A8Dp 8D0A(B BBBF T u3 l  ,y[[-! 00 <-!-!o 8  0!8(h oooo -!V0f0v00000000011&161F1V1f1v11111111122&262F2V2f2v22222222233&363F3V3f3v33333333344&464F4V4f4v44444444455&565F5V5f5v555 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 : Philox 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 The state of the returned big generator is jumped as-if 2**(128 * jumps) random numbers have been generated. Parameters ---------- jumps : integer, positive Number of times to jump the state of the bit generator returned Returns ------- bit_generator : Philox New instance of generator jumped iter times H!XH!(I!H!I! I!II!I!xI!H pI! hI!c`I!XI!XPI!HI!@I! 8I! 0I!P(I! I!I!I!I!I!H!H!RH!x H! H! H!@ H!H!NH!NH!0 H!  H!`H!H!'H!"H!xH!pH! hH!`H!8XH!PH!`!HH!P@H!h 8H!p0H!(H! H!0H!H!H! H!( G!G!X @G!C!G;?(0aDh`0`E!E!\D X`@8!J2!R~d0}GCC: (GNU) 4.4.7 20120313 (Red Hat 4.4.7-23)GCC: (GNU) 8.3.1 20190311 (Red Hat 8.3.1-3)8 8( 00 @0 5 < `p-!-!-! -!/!0!2!F! Z*4 [0s \&I!J! 5Y 0\3 P\QJ!q ]~ 5 6{ a7SH! 7 8 9, G;b?2!Y8J!a <x~ ]f !=H ^ ^ i= > >7 0`ye `s 0a a[ @d @eh3 6?aC! fl j0J!(J! jm @k0 pl@? o`m si tj v@I! J!F!F!0I!+J!=J!O 0}RI!xG! ~RG! a1G!?I!hG!uH!I! ?:!G!G!G!G! G!G!KI!aI!{H!pI!I!xH!xI!PH! 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