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€ƒë‰ÞH‰ïèS7ÿÿH…Àtî…Û*„ŒL‰ïL‰æèY4ÿÿHƒÄL‰ç[]A\A]é3ÿÿ€L‰îL‰çè54ÿÿDL‰çè¸6ÿÿƒët'‰ÞH‰ïèù6ÿÿH…ÀtäL‰çL‰îèy5ÿÿL‰çè‘6ÿÿƒëuÙ1öH‰ïèÒ6ÿÿH…Àt‰L‰îL‰çèR5ÿÿéyÿÿÿDL‰îL‰çèÍ3ÿÿédÿÿÿ„AT¾I‰ü¿pUHƒìè÷4ÿÿH�5`!¹pA�¼$À oH‰ÇH‰ÅóH¥~ AÇ„$À H‰ïL‰æè-6ÿÿHƒÄH‰ï]A\é.2ÿÿHƒìHƒÄà while calling a Python objectNULL result without error in PyObject_Call__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 intInterpreter change detected - this module can only be loaded into one interpreter per process.Cannot convert %.200s to %.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 PyObjectcalling %R should have returned an instance of BaseException, not %Rraise: exception class must be a subclass of BaseException%s() got multiple values for keyword argument '%U'%.200s() keywords must be strings%s() got an unexpected keyword argument '%U'can't convert negative value to uint32_tvalue too large to convert to uint32_tModule '_mt19937' has already been imported. Re-initialisation is not supported.compiletime version %s of module '%.100s' does not match runtime version %sUnable to initialize pickling for %sinvalid vtable found for imported type_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%x . Check the section C-API incompatibility at the Troubleshooting ImportError section at https://numpy.org/devdocs/user/troubleshooting-importerror.html#c-api-incompatibility for indications on how to solve this problem .FATAL: module compiled as unknown endianFATAL: module compiled as little endian, but detected different endianness at runtimenumpy.random._mt19937.MT19937.__setstate_cython__numpy.random._mt19937.MT19937.__reduce_cython__numpy.random._mt19937.MT19937.jump_inplacenumpy.random._mt19937.MT19937.state.__get__numpy.random._mt19937.MT19937.jumped%.200s() takes %.8s %zd positional argument%.1s (%zd given)numpy.random._mt19937.MT19937.__init__numpy.random._mt19937.MT19937.state.__set__hasattr(): attribute name must be stringnumpy.random._mt19937.MT19937._legacy_seeding MT19937(seed=None) Container for the Mersenne Twister 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. 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 ----- ``MT19937`` provides a capsule containing function pointers that produce doubles, and unsigned 32 and 64- bit integers [1]_. These are not directly consumable in Python and must be consumed by a ``Generator`` or similar object that supports low-level access. The Python stdlib module "random" also contains a Mersenne Twister pseudo-random number generator. **State and Seeding** The ``MT19937`` state vector consists of a 624-element array of 32-bit unsigned integers plus a single integer value between 0 and 624 that indexes the current position within the main array. The input seed is processed by `SeedSequence` to fill the whole state. The first element is reset such that only its most significant bit is set. **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, 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__(7ÿÿP7ÿÿÐ6ÿÿà6ÿÿð6ÿÿìCÿÿDÿÿÌCÿÿÔCÿÿÜCÿÿHPÿÿˆPÿÿPÿÿðOÿÿ8PÿÿQÿÿ=Qÿÿ%QÿÿdQÿÿHQÿÿ7RÿÿRÿÿ Rÿÿ\RÿÿKRÿÿÌ`ÿÿœ`ÿÿB]ÿÿŒ`ÿÿä`ÿÿ÷dÿÿ eÿÿeÿÿGeÿÿ,eÿÿ¢fÿÿfÿÿŠfÿÿËfÿÿ¸fÿÿs†ÿÿk†ÿÿ)‚ÿÿ†ÿÿ:†ÿÿ0”ÿÿ(”ÿÿ ”ÿÿñ“ÿÿƒ”ÿÿstate 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__npC�A <@€€€€ÿÿÿÿÿÿÿÿÿÿÿÿß°™ß°™ß°™ß°™ß°™c9ÞrÄžpµ¶›'ˆåø#¨Y>Ø&Y"»ýçwR‹VçµHÕ(¿¹­°äªIH ƒ‹’>Î9méÓ1a¯èòê V„T3{L�Áƒ|:‰¼½þg‚½¿ÜGQæ}¦âtõþš M3¸ÊÞÓðXýaU;p„Ø;€\ïB�›³a·ß ÓþÖ[>_ÏwaAGéB„Ž«Ï©ŽÀ]X�÷Ý`(…›,Ö÷ðü;»²}ã>ÊYæÉ�iÙ‡Þ s•QHRΔ;hwí¥Ís¼ü¼Vl•;ôÞ‘´¿�Ä8”1˜…¢àjÊÕ®—�BFž•\ç†T<%\ECÍØÌµsÔ‚‚DÍÊÈ™ß-F…¾Ö‰µˆR§lò´U˜ëp (=çÌJ&É¡x{ûð•—èîB€̫èQçg…Ì0š;‘^RøÓÒã>�¡‰ÛL,}¨j:š^›#2‹‡íؤxwŒ¤fÀJ—UðB‚ Èé€ÞÖ@ Ï¡LÎ’(Ç1'„®hA`mî#ݲøÏ¾‡r¬ßQ—6¤�È‹ºÙ@XJ‚…¥§íÛ;õ—IºÏ�¤ÃoÆÕ)Çò9­hΖŽM®µ©ò–óˆÅ»a�N�a,Ñ D³óaûë×.p;ò¦ÜËf�·|•3(¾jC¢–ÐÀ oª�á¸I¿Ã�×I¹E›ÈĤ ã�ëgð+ó±ê\”‚ÄÌÛ®d¶¯jmXSµ€2Xµršwúñt¯`;ý®’‰ò ¦Or”5(ñªça©Á}R‡€Nƒ?i­¼ö;ÊÉ–•JAŸugÓ·;Ï Ï{gw\[vôŸÖßGn Ù$×Qé_(–y­òù'Æâ ûüÎA$€3Kr xúP±r·¨·ýB«ÿκuT9‹Â‘xïn5ÃÉAm€Ü‘tÄ–Éõ-äT¢Ý2©6:–[î ÃÇu\c#ßX�08�ã&‰’•¶qØTw‰^ÞÝ<taÀ[ R­§€»¾Ô„Â\3]ÙH§kŒA )™»3¼ÿ,FŽP*ĆÆï:*`Ùl#ôùÆ&1ë¸I�5½Q¤çI|Ë’µG9»[jí<¥ ­ËF“y¥ŒÙŽ”&•eËÅìCý}ÈÝ $@i]¬ ˜}8Uëÿálq/ûφíø9ðw×—ë2_©Á‡î¤=‰lñ5ÂÔQ–º”yèâ#�ùEEŒ»¥h‰´FÏça8M�V, ŒhÊ_.p6µFc¸»ãU7¦r\Ü/ÑGËàL£0Œ¬þ•�è¢yMÇpv“•À´àõø À32�þ�% «mw�(»¶GJ–ná¸ø{¯bhB ŸJbö¶°ÔJ8TîÀP£W g�Á& (,:™øuµg–t¹*ü�s88…ªBÄ̤’:¥>Z¯Ï¢ÏȽeBˆ �îŸROø×¤žpl–B¼€LÔeBÑóçëõí*<²ñ#E€B|Ô·© ˧h7sÅ ÙŠf­Ç˜Œ‰£ÄÞ­�x�6Å ›Ã…~BÅødÈÀíº/zeÃ¿Ò !ê•û� œ`rOlŽÄcæ„b<¨ñÎ<—„í¸¸uðÉÅê Z% ð|HÍßÚàw~ uå‹—Ëqþ'Vo8Ä(ðI@¯Ö:k¿Ýª©Ñ0.t»µ^ù‰„.=¸oÃd�'„G+0‚¾æàa&"Vœµœ òäªìÕœÚâfø#%Ç›gÄRfˆ‹òÐ^ic–výN¯e�ßüG¼YbÊßœ8NB,l^3»¡¡s*Ý3¾ÄXÐ�æÂktE4´”�Ó³O…`äQ¸tÂ*=Ûõ�Ù;2Ó†L%l]"¬¿‚20Ý´;~²_&·y�þ4¿aó@XxžlPç;‡e îÆ5çd(ûüÔÅäÆ(„⎅ͣüåe:€Dö÷PøAôù9UëeÉóˇt€/¾d®U¹\<o‘þØß‰Â®^ˌѿ�ïòWaDJ6�Fu!˜Þ ~YÁY”Ð>í±zngyÁë•Äö½ƒ¢p5Œd\²j€‹9Œë íåj =NtÚ+Þ¯/r’Ë÷\‡#ÒVׂÞ‘ÉDΑ ´WGÒùN”ŠZ”…+ñøíÿJŒ™é ó æœXzeºÝQ¨6�ìæ”8¹Fíp¤­†}P›@¹ÇF¨bÈ>(¶ˆ¡ÄzŒ:v�¶Ü —§[™5ik¼´]ÓYMD"~=‰NÀéQoFa椊TÔ‰SU‘aV�`V�^a…<>¸Æ9l‘$¦Ô/ü,Ô´ù¼É‚Ï×+ìh%{@2@Ùh"]k{~zìkØç#0hº…O–2·£!Ãs˜Ý 5áP¢¥…ƒW&GÒ8ÇÊA%<‡3Í�Å,ÈÍÐ T+\¤ÌVVÑ}ˆ¸‡Ù£Hþçƒx„¢Û‚V”ø-_FáLI›¼ÿÈúÍ9�Y%È*±#™ú~!\>¢‹-;ºýPåQŽ3gj„”1W>&©Hî½6Í\È”ÃA –§òg›¡¦Ò?‹\(ŠÙ—: 76Êßc~d•rº;{zv޾IfêQ<“¡Ç% ÄpÏ–7d†}8úÙÌ1÷¹u,`5—þ‡°hÍøÖ]dï#³}8q]Sô\&z2�²Óìc%êÕ«%CbA,0“ëûÛ¼¦ß¢e†í‡Y±ñ–2„ì1 ²5*#� ´ÅÃÐ’ãrQSËü_ © $üŽ,“n2F%G^ÁÌTüº8¨ò<0fH¨%àW®´„�s6ÚsLì�³ˆñŸO€§î…¨}«n¾ýÙ@=Yéo< …< l`e1¢x°4Š0p½ùZc¾|šm2îsífc�Ý_•bé° j¶œ>ÍÂÓªˆûxH¾ý…Rœ…¢øøy•Aý/�{j|KŠ^‰-&Ž•$mpxØ»ëBm�ñû͈ŠÅl>«dJuýú}ª �é÷Ò<¶\ÈÈ8µÅr +¹4Úyä÷3>U*#†|øÈ\³m&Æíþçgʈö·{™-oÖÓ³BjŒR¹"¶ò 9Ó‡Ô_Î7Û®íôÂÞI%ÿSŽZCžçªA@vpî£)^½Y³G°¢ZÍ:0-*¸Â•W3·J¦Áª•†¢ß^ÿeèÖŒì`³^c°œcM§á(%Á~Ö \wßML¤-r2-ɰ¼Eуè";ä`Ús) =¡¹(– B�sÖreëÊRï ¤€Wäî#;œ2 ýþÿ¸pÿÿ4Çÿÿ\Eÿÿ˜¥ÿÿ$.ÿÿ\:ÿÿ°›ÿÿKÿÿ” ÿÿàPÿÿøpÿÿ  ÿÿl°ÿÿ�PÿÿР ÿÿÔ`!ÿÿø"ÿÿÌ€"ÿÿè#ÿÿüÀ#ÿÿ$°$ÿÿx'ÿÿàp'ÿÿüÐ'ÿÿÐ(ÿÿD )ÿÿp *ÿÿ¤Ð*ÿÿàð+ÿÿp-ÿÿ< .ÿÿœ05ÿÿP6ÿÿ€ð6ÿÿ°Ð:ÿÿü°CÿÿH €Oÿÿ  ð_ÿÿø €ÿÿD ÀÃÿÿ¨ Äÿÿ¼ Åÿÿà àÆÿÿô ðÆÿÿ Çÿÿ pÇÿÿ0 @ÈÿÿD Êÿÿt Ëÿÿ° zRx �$`ûþÿPFJ w€?;*3$"D8ÿÿ&Da\Pÿÿ\p\ÿÿ§B�EŒD †D(ƒD0| (D ABBH Q (D DBBC D (A ABBE Ьÿÿ„A†@ G h H <ôÿÿ�A†D A AI G AH V AI G AC `4xÿÿGB�BŽB �B(ŒD0†D8ƒG`š 8C0A(B BBBC K 8F0A(B BBBF $˜4ÿÿWBŒD†A LAB8Àcÿÿ~BŽE�H ŒA(†A0ƒb(D BBB8ü¥ÿÿ`BŽB�E ŒA(†A0J(D BBB 8Äÿÿ¼DE G \ D (\`ÿÿ’BŒA†G U DBK 4ˆyÿÿ‰BŽG�B ŒD(†A0n(D BBBPÀÊÿÿ BŽH�E ŒA(†D0ƒJ€—ˆH�fˆA€\0D(A BBB‚ÿÿaoŒq0,ÿÿD` D L�ÿÿx$`üÿÿ»A†t K ` H QPˆ”ÿÿíB�BŒA †s EBI A BBC D BBH H IBM dÜ0ÿÿ`B�BŽB �B(ŒD0†D8ƒH€h 8A0A(B BBBF ¨ 8F0A(B BBBA D(!ÿÿ^HƒW q `l!ÿÿ^HƒW q (|°!ÿÿûA†DƒD » AAJ (¨„"ÿÿÐA†DƒD j lAH 0Ô(#ÿÿtB�EŒG e EBF lEB8t#ÿÿ­B�EŒA †G(ƒG0s (D ABBF Dè#ÿÿy†D F AA 4hä$ÿÿ|BŒA†D B DBA @ AEJ \ ,&ÿÿ(B�EŒI †A(ƒG0u (D ABBJ [ (D ABBD \ (D DBBH dü&ÿÿ‚B�BŽE �E(ŒD0†A8ƒF€ 8A0A(B BBBH d 8A0A(B BBBJ Hh�ÿþÿ°B�BŽB �B(ŒA0†D8ƒGÀ‘8A0A(B BBB,´Ø,ÿÿÒBŒH†H ƒh CBA ,äˆ-ÿÿÒBŒH†H ƒh CBA H8.ÿÿÝB�BŽB �B(ŒD0†A8ƒD@o 8A0A(B BBBF H`Ì1ÿÿÙB�BŽE �B(ŒA0†A8ƒDPý 8D0A(B BBBE T¬`:ÿÿÊ B�BŽB �E(ŒA0†A8ƒDP¨XI`YXFP_ 8D0A(B BBBC TØEÿÿiB�BŽB �E(ŒA0†A8ƒDpexI€YxFpb 8D0A(B BBBC H\ðUÿÿ B�BŽB �B(ŒA0†A8ƒDpà 8A0A(B BBBA L¨Äuÿÿ§CB�EŽB �B(ŒA0†A8ƒGàë 8D0A(B BBBD ø¯ÿÿ  ¹ÿÿ; <¹ÿÿBŽNƒúBD 8ºÿÿ·X ä»ÿÿl à»ÿÿ€ ì»ÿÿT” 8¼ÿÿÍ,¨ ô¼ÿÿËA†MƒÑ AH ¿ AH 8Ø ”¾ÿÿèB�JŒA †I(ƒI0| (D ABBL $ H¿ÿÿbBŒN†D CDB_Ð^ méó @ dmmõþÿo`@È  p` (+ˆ  þÿÿohÿÿÿoðÿÿoZùÿÿo�(m6@F@V@f@v@†@–@¦@¶@Æ@Ö@æ@ö@AA&A6AFAVAfAvA†A–A¦A¶AÆAÖAæAöABB&B6BFBVBfBvB†B–B¦B¶BÆBÖBæBöBCC&C6CFCVCfCvC†C–C¦C¶CÆCÖCæCöCDD&D6DFDVDfDvD†D–D¦D¶DÆDÖDæDöDEE&E6EFEVEfEvE†E–E¦E¶EÆEÖEæEöEFF&F6FFFVFfFÿÿÿÿÿÿÿÿ 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. For modern applications, creating a new instance is preferable. Calling this overrides self._seed_seq Parameters ---------- seed : {None, int, array_like} Random seed initializing the pseudo-random number generator. Can be an integer in [0, 2**32-1], array of integers in [0, 2**32-1], a `SeedSequence, or ``None``. If `seed` is ``None``, then fresh, unpredictable entropy will be pulled from the OS. Raises ------ ValueError If seed values are out of range for the PRNG. 8‹°Š Œì.ŒH- Œà-Œà-Œ�,ø‹ ,%ð‹p,苈- à‹h- Ø‹ë.Ћà.È‹Õ.À‹Ø-¸‹.°‹8-¨‹Ð- ‹h. ˜‹Ð,�‹b.ˆ‹X. €‹À. x‹.p‹-h‹Ñ.`‹¸- X‹. P‹K.H‹°. @‹E.8‹?.0‹Í.(‹ .  ‹�. ‹è.‹9.‹à+'‹ +"øŠ¨- ðŠ3.èŠÉ.àŠX-ØŠ-.Њø- ÈŠ -ÀŠx-¸Š‹.°Š†.¨Š@+A Š˜- ˜Šð,�Š�.ˆŠÈ-€ŠÈ-xŠ'.pŠ'.hŠ+$`а,XŠP,PŠx. 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