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LT$8E1D$wL\$?L\$HHD$H:kH5K L\$8H8>>L\$8LT$L1LLL$=ALL$IL?HH0kH5"H8=HjH5 H8=H\$D$U E1E1D$H@`H6HH&HIHH9Xu)L=jI.LD$>> from numpy.random import Generator, MT19937, SeedSequence >>> sg = SeedSequence(1234) >>> rg = [Generator(MT19937(s)) for s in sg.spawn(10)] Another method is to use `MT19937.jumped` which advances the state as-if :math:`2^{128}` random numbers have been generated ([1]_, [2]_). This allows the original sequence to be split so that distinct segments can be used in each worker process. All generators should be chained to ensure that the segments come from the same sequence. >>> from numpy.random import Generator, MT19937, SeedSequence >>> sg = SeedSequence(1234) >>> bit_generator = MT19937(sg) >>> rg = [] >>> for _ in range(10): ... rg.append(Generator(bit_generator)) ... # Chain the BitGenerators ... bit_generator = bit_generator.jumped() **Compatibility Guarantee** ``MT19937`` makes a guarantee that a fixed seed will always produce the same random integer stream. References ---------- .. [1] Hiroshi Haramoto, Makoto Matsumoto, and Pierre L'Ecuyer, "A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space", Sequences and Their Applications - SETA, 290--298, 2008. .. [2] Hiroshi Haramoto, Makoto Matsumoto, Takuji Nishimura, François Panneton, Pierre L'Ecuyer, "Efficient Jump Ahead for F2-Linear Random Number Generators", INFORMS JOURNAL ON COMPUTING, Vol. 20, No. 3, Summer 2008, pp. 385-390. Get or set the PRNG state Returns ------- state : dict Dictionary containing the information required to describe the state of the PRNG intan integer is requiredname__loader__loader__file__origin__package__parent__path__submodule_search_locationsMissing type objectname '%U' is not definednumpy/random/_mt19937.c%s (%s:%d)%d.%dbuiltinscython_runtime__builtins__4294967295numpy.random.bit_generatorBitGeneratornumpydtypeflatiterbroadcastndarraygenericnumberunsignedintegerinexactcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSequencenumpy.core._multiarray_umath_ARRAY_API_ARRAY_API not found_ARRAY_API is NULL pointer__init__.pxdnumpy.import_array_mt19937.pyxinit numpy.random._mt19937stringsourceat leastat mostjumped__init____del__numpy.random._mt19937.MT19937state_legacy_seeding__reduce_cython____setstate_cython__(7P7666CDCCCHPPPO8PQ=Q%QdQHQ7RR R\RKR``B]``d eeGe,efffffsk):0( state is not a legacy MT19937 stateself._bitgen cannot be converted to a Python object for picklingnumpy.core.umath failed to importnumpy.core.multiarray failed to importSeed must be between 0 and 2**32 - 1state must be for a {0} PRNGSeed must be non-emptySeed array must be 1-dstate must be a dictcline_in_traceback__setstate_cython__generate_state__reduce_cython__bit_generatorImportError__pyx_vtable__ValueError__reduce_ex__TypeError__setstate__operator__getstate__squeezecastingasarrayMT19937unsafeuint32__reduce____import__formatastypezerosstaterangeordernumpyjumpsint64index__enter__dtype__class____test__sizeseedsafe__name____main____init____exit__poskeygetany__all__npCA<@߰߰߰߰߰c9rĞp'#Y>&Y"wRVH(IH >9m1a VT3{L|:gGQ}t M3XaU;p;\Ba [>_waAGBϩ]X`(,;}>YɁiޠsQHR;hwsVl;ޑ81jծBF\T<%\EC̵sԂD-FRlUp (=J&x{B€̫Qg0;^R>L,}j:^#2ØxwfJUB@ ϡLΒ(1'hA`m#ϾrQ6ȋ@XJ;Io)9hMaNa, Da.p;f|3(jC oIÍIEĤ g+\ۮdjmXS2Xrwt`; Or5(a}RN?i;JAugӷ; {gw\[vGn $Q_(y' A$3Kr xPrBκuT9‘xn5AmtĖõ-T26:[ u\c#X08&qTw^<ta[ RԄ\3]HkA )3,FP*:*`l#&1I5QI|˒G9[j< Fy&eC} $@i] }8Ulq/9w2_=l5Qy#EEhFa8MV, h_.p6FcU7r\/GL0yMpv 32% mw(GJn{bhBJbJ8TPW g& (,:ugt*s88B:>ZȽeB ROפplBLeB*<#EB|Է ˧h7s fޭx6 Å~Bd/ze !`rOlcb<<u Z% |Hw~ uq'Vo8(I@:kݪ0.t^.=od'G+0a&"V ՜f#%ǛgRf^icvNeGYb8NB,l^3s*3XАktE4O`Qt*=;2ӆL%l]"20ݴ;~_&y4a@XxlP;e 5d((⎅ͣe:DPA9Ueˇt/dU\<o߉®^ˌWaDJ6Fu!~YY>zngyp5d\j9 j =Nt+ޯ/r\#VׂDΑ WGNZ+J XzeQ68Fp}P@Fb>(z:v [5ik]YMD"~=NQoFa椊TSUaV`V^a<>9l$/,Դɂ+h%{@2@h"]k{~zk#0hO2!s 5PW&G8A%<3, T+\VV}٣HxۂV-_FLI9Y%*#~!\>-;PQ3gj1W>&H6\ȔA g?\(ٗ: 76c~dr;{zvIfQ<% pϖ7d}81u,`5h]d#}8q]S\&z2c%ի%CbA,0eY21 5*# ВrQS_ $,n2F%G^T8<0fH%Ws6sLO}n@=Yo< < l`e1x40pZc|m2sfc_b j>xHRyA/{j|K^-&$mpxػBm͈l>dJu} <\8r +4y3>U*#|\m&g{-oӳBjR" 9Ӈ_7ۮI%SZCA@vp)^YGZ:0-*•W3J^e֌`^ccM(%~ \wML-r2-ɰEу";`s) =( BsreRW#;2 p4\E$.\:K Pp  lP `!""##$$x'p''(D)p **+p-<.05P66:CH O _ D   p0 @D t zRx $`PFJ w?;*3$"D8&Da\P\p\BED D(D0| (D ABBH Q (D DBBC D (A ABBE A@ G h H <AD A AI G AH V AI G AC `4xGBBB B(D0D8G` 8C0A(B BBBC K 8F0A(B BBBF $4WBDA LAB8c~BEH A(A0b(D BBB8`BBE A(A0J(D BBB 8DE G \ D (\`BAG U DBK 4yBGB D(A0n(D BBBP BHE A(D0JHfA\0D(A BBBaoq0,D` D Lx$`At K ` H QPBBA s EBI A BBC D BBH H IBM d0`BBB B(D0D8Hh 8A0A(B BBBF  8F0A(B BBBA D(!^HW q `l!^HW q (|!ADD  AAJ ("ADD j lAH 0(#tBEG e EBF lEB8t#BEA G(G0s (D ABBF D#yD F AA 4h$|BAD B DBA @ AEJ \,&(BEI A(G0u (D ABBJ [ (D ABBD \ (D DBBH d&BBE E(D0A8F 8A0A(B BBBH d 8A0A(B BBBJ HhBBB B(A0D8G8A0A(B BBB,,BHH h CBA ,-BHH h CBA H8.BBB B(D0A8D@o 8A0A(B BBBF H`1BBE B(A0A8DP 8D0A(B BBBE T`: BBB E(A0A8DPXI`YXFP_ 8D0A(B BBBC TEiBBB E(A0A8DpexIYxFpb 8D0A(B BBBC H\U BBB B(A0A8Dp 8A0A(B BBBA LuCBEB B(A0A8G 8D0A(B BBBD   ; <BNBD 8X l  T 8, AM AH  AH 8 BJA I(I0| (D ABBL $ HbBND CDB_^ m @ dmmo`@  p` (+ ohooZo(m6@F@V@f@v@@@@@@@@@AA&A6AFAVAfAvAAAAAAAAABB&B6BFBVBfBvBBBBBBBBBCC&C6CFCVCfCvCCCCCCCCCDD&D6DFDVDfDvDDDDDDDDDEE&E6EFEVEfEvEEEEEEEEEFF&F6FFFVFfF jumped(jumps=1) Returns a new bit generator with the state jumped The state of the returned bit 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 : MT19937 New instance of generator jumped iter times Notes ----- The jump step is computed using a modified version of Matsumoto's implementation of Horner's method. The step polynomial is precomputed to perform 2**128 steps. The jumped state has been verified to match the state produced using Matsumoto's original code. References ---------- .. [1] Matsumoto, M, Generating multiple disjoint streams of pseudorandom number sequences. Accessed on: May 6, 2020. http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/JUMP/ .. [2] Hiroshi Haramoto, Makoto Matsumoto, Takuji Nishimura, François Panneton, Pierre L'Ecuyer, "Efficient Jump Ahead for F2-Linear Random Number Generators", INFORMS JOURNAL ON COMPUTING, Vol. 20, No. 3, Summer 2008, pp. 385-390. _legacy_seeding(seed) Seed the generator in a backward compatible way. 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