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AL; ɂDu L; ڂEI)Em HD$1H5;HHH9E' 貁IM H5ߋHLI9G 膁IIHM IHIAH;H;ׁLxpMlIaHLL$ELL$H HD$HLAWLT$II*LL$h M I)EIGHIGHiHPHHAGAWHH I/IEhHH&H5ߋHXHH9EkVIMJH5H,LI9G_*IIHM7IH IAH;HH;{ LxpMHI=HLL$CLL$HZHD$HLAWLT$II*LL$+LLBLL$fL8BL(B"LLL$DLL$ASAI)H PDH=<fDAI,$_HHD[]A\A]A^A_DLHD$ALL$H@hH H@HLL$LHLL$I@H@hH H@H LL$LHLL$IMFA!H|$Hcu1HD$H H5>HHH9Eb ~IMAIGH;>H;q~HPpHVHzHT$FHAH5HT$HD$HLRLT$II*#MI/MIALAIAHHPHzHAQAAHH II)M݀HH;\$H5H}H9EMH|IM)IA5IAHPHH HLLL$}ALL$HcЉH9-I)$ AHY}HH5H9EP|IMIA=IAHHPHiHAAAQHH Љ‰H9I) AH|HH5H9E`{IM?IAIAHPHHH<LLL$H@LL$HcЉH9PI)] A]x/fI9Y.IALHAGAWHH I/IEpHHD$H@LX=LH=UH@hHH@HHLIfDI9_IGL II/LLL$LL$H I@L;5L1LK?IH?I9_FMLIQ1H3AW*@LP>HHk=H HfDI9YM|IH-L%bHEHH{H=.b:1HLH(=H1H~HmH gIAH=5跖f>IAE ;IHx;HHLHD$:LT$II*LLL$ :LL$fDE1I/uLT$9T$DH HH=4MA=IXAH =HAH=4荕Ab9IG.LLL$#9LL$Nf;HHvH5,T$H8n9T$DAcMH@`HT$HHHLIHH AjH@HT$H9HL$u`fD IAHHHHv\HuaAAAQHH I) LHT$+HT$LH5;/hIHH@HT$HtAQLLL$0.LL$HI)Y뗽$*Ap/+IH!iLL$H5-H8+LL$LL$,LL$HHhH539H8M+LL$HhLL$H5H8%+LL$I)L~*,H HThH58H8*[,LL$HjHgH5H8*LL$JH},LL$HjH@`HHHLL$ LLD$LD$LL$ HIqHD$I9BuoIB IBHHPHv{HARABHH II*oLLD$LL$N)LD$LL$NLH5W9LD$ LL$eLL$LD$ HIbv1HtARALLD$ LL$LT$+LT$LL$LD$ IcLT$ HfH5LD$LL$H8I4)LL$LD$LT$ &H@`HHHLL$LLL$HIHD$I9BulIB IJHHAHHu_ABARHH I*jLLL$HT$'LL$HT$ILH57dLL$HItLLL$LT$*LT$LL$H1HtABH)LL$Hu)HHEeH55H8'iH@`H3HH#LL$LLL$HHHBeHD$H9EuqHEHEHPHvwHHt}HLL$(LL$HcЉH9HmHLL$&LL$qHH56'cLL$HHoHH]u룋EUHH HcЉH9tHEdLL$H5H8&LL$HmMHLL$%LL$6EUHH HHcЉH9,HmHLL$1%LL$LT$HcH5LL$H8&LL$LT$HoArsAXcH@`H HHLL$LLL$HIH\cHD$I9GupIG IGHPHvvHHt}LLL$&LL$HcЉH9I/nLLL$$LL$WLH54BaLL$HIpHHA_uAGAWHH HcЉH9tH]bLL$H5H8$LL$I/LLL$$LL$AGAWHH HHcЉH9)I/&LLL$1#LL$AeH@`HHHLL$LLL$HIwHaHD$I9GukIGIGHHPHHu^AGAWHH Љ‰H9ukI/fLLL$ #LL$OLH53_LL$HIuLLL$%LL$‰H9tHH`LL$H5H8,#LL$I/LLL$"LL$Ht A_FI/LLL$1O"LL$H@`H/HHLLL$LL$HHHD$H9Gu?LL$H|$srH|$LL$HH/HD$!LL$HT${H51g^LL$HHuH_LL$H5H8"LL$LL$#LL$HXHQ_H5/H8!LL$8LD$LL$I#LL$LD$HH_H5/H8!LL$LD$lLL$#LL$H-H^H5I/H8c!LL$ H@`HtHHtsLL$HLL$HIt\HD$I9Gu0LLL$e^I/LL$Ll LL$LH5z0]LL$HIu-LL$G"LL$HH^H5.H8 LL$LL$"LL$HaH]H5Q.H8k LL$AH@`HHHtyLL$LLL$HHtbHD$H9Gu9LL$H|$wH|$LL$H/OLL$gLL$;H5x/\LL$HHuLL$E!LL$HH]H5-H8LL$pLL$ !LL$HH\H5O-H8iLL$ LL$H Hy LL$HfH@`HHHLLD$(LL$ LT$LT$LL$ HLD$(HHD$H9GubLT$(LD$ LL$H|$nH|$LL$LD$ LT$(IH/LT$ LD$LL$LT$ LD$LL$rH5-LT$ LD$LL$qZLL$LD$HLT$ HhI3LT$ LD$LL$LL$LD$HLT$ uH^[H5+H@`HHHLLL$ LT$LT$LL$ HHHD$H9GuNLT$ LL$H|$mH|$LL$LT$ HH/HD$LT$ LL$HT$H5,LT$LL$aYLL$LT$HHuHLT$LL$LL$LT$HuHaZH5*pLL$HA\LL$SLL$HHZH5*H8LL$HLL$HH@`HHHtyLL$LLL$HHtbHD$H9Gu9LL$H|$YH|$LL$H/LL$LL$H5+#XLL$HHu5LL$gLL$HH2YH5)H8LL$fHH@HHxuH@HHHHHHH9rYHPHOHHHHHHH;PvmHAHHOHPHHHHHHH;PvnHAHHWHPH@HHOHPHHHHHHH;PwHtHPHOHHHHHHH9PrHWHPHtHH__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 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%.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%s() got multiple values for keyword argument '%U'%.200s() keywords must be strings%s() got an unexpected keyword argument '%U'instance exception may not have a separate valuecalling %R should have returned an instance of BaseException, not %Rraise: exception class must be a subclass of BaseExceptioninvalid vtable found for imported type while calling a Python objectNULL result without error in PyObject_Call'%.200s' object has no attribute '%U'can't convert negative value to uint64_tcan't convert negative value to uint32_tvalue too large to convert to uint32_tnumpy/random/_philox.cpython-39-x86_64-linux-gnu.so.p/numpy/random/_philox.pyx.c%.200s() takes %.8s %zd positional argument%.1s (%zd given)numpy.random._philox.Philox.advancenumpy.random._philox.Philox.jumpedCannot convert %.200s to %.200snumpy.random._philox.Philox.jump_inplaceModule '_philox' has already been imported. Re-initialisation is not supported.compile time version %s of module '%.100s' does not match runtime version %s0x100000000000000000000000000000000base class '%.200s' is not a heap typeextension type '%.200s' has no __dict__ slot, but base type '%.200s' has: either add 'cdef dict __dict__' to the extension type or add '__slots__ = [...]' to the base typemultiple bases have vtable conflict: '%.200s' and '%.200s'Unable to initialize pickling for %.200sPyObject *(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%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._philox.Philox.__setstate_cython__numpy.random._philox.Philox.__reduce_cython__numpy.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_locationsan integer is requiredname '%U' is not defined%s (%s:%d)advanceexactly_philox.pyxat leastat mostjumpedMissing type objectbuiltinscython_runtime__builtins__%d.%dnumpy.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__.cython-30.pxdnumpy.import_arrayinit numpy.random._philox__setstate_cython____reduce_cython____init____del__numpy.random._philox.Philoxstate 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 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 : Philox New instance of generator jumped iter times self._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__generate_state__reduce_cython__bit_generator_initializingImportError__pyx_vtable__has_uint32buffer_posValueError__reduce_ex____pyx_stateisenabledTypeErroruinteger__setstate____getstate__disablecounteradvanceuint64__reduce____import__formatenablebufferPhiloxstaterangenumpyjumpsemptydtypedelta__class____test__step__spec__seed__name____main____init__keyget__all__?npgc*<@;l,P@=`:#@^l G< <  0 P  !L0##0$'|)--.0(1 4X`58;@0=x?I O [ P^ b @f@ P d zRx $FJ w?;*3$"DL]^\0&DatH TA@ G h H D BEL E(A0A8E@8D0A(B BBBDBEL E(A0A8E@8D0A(B BBB8<~BEH A(A0b(D BBB8x`BBE A(A0J(D BBB(BAG U DBK @,BAD G DBD ] AEE _ DBK P$ BHE A(D0JGfA\0D(A BBBxDD` D xd BEF E(A0A8G 8F0A(B BBBG # 8C0A(B BBBA hL#BBD  EBH T BBP F EBK f BBF Q EBH t BBH T|$4PBB B(A0A8Z0A(M BHBDP8(;HTpCA$cBDA XAB(d'<0(@P(!bBB A(A0D@S 0D(A BBBF $WBDA LAB\*BHD A(G0z (D ABBG L (D ABBA ^ (D DBBH P+1BGE D(G0 (D EBBF i (L BBBE s (D BBBC T (J BBBL ](I BBBH/BBB B(D0A8G` 8D0A(B BBB@,8BAD | DBG D ABI P AEJ X0- EBB B(A0A8q 0A(g BBBD w 0A(G EEBE D0 EBB B(A0A8 0A(O BBBB 4X3BAD I DBJ P AEJ @ 4BBE A(A0D@z 0D(A BBBD `P6 BBB E(D0D8Fp 8A0A(B BBBD N 8A0A(B BBBE \x@BIB B(D0A8G W_F_ 8D0A(B BBBD \FZ BIB E(D0A8DIYF_ 8D0A(B BBBH XtQMBBB E(A0D@3 0A(B BBBD e 0C(B BBBH HBBB B(A0A8Gv8A0A(B BBBX StBIB B(A0A8GzV_F\ 8C0A(B BBBK Xx WbBBA A(D@ (C ABBG 4HRP`HA@F (A ABBE H ZBBB B(A0A8Dp 8D0A(B BBBB \ ltvBIT G(E0A8GVRFb 8D0A(B BBBB L *BBB B(A0A8DW 8D0A(B BBBF    ( 4pm0mPmq 0 <@mHmo`P  p ooooXm60F0V0f0v00000000011&161F1V1f1v11111111122&262F2V2f2v22222222233&363F3V3f3v33333333344&464F4V4f4v44444444455&565F5V5f5v55555555567B`ws8PBD,qqvumBP>F@p H@pBbB?B GCC: (GNU) 10.2.1 20210130 (Red Hat 10.2.1-11) mL@zs m&w00{ n n) 6C 7^ 8~x 8` s8{ n Po 9  q" qxS r{ u w4 :; M M L M K 2 xL D 8L W Mc Mn My L M K M (L  @M  pK 3M L -M" 'M0 L? LN MY Kp M| L  L  L  M  K hL  !M M  pM  M M$ K'L J"u XL  L M L  K HL iM J! JP> L O Kg `M t PK 0K YM PM  L L  .Mc z, {U `|!v MW ~ 1 M/ 8 0 H P v p  vv { p( zQ z~  pZ  ШM  P z z. zH wt t { { {0 @{<  tz  b   0w (w  w1 wL wb w| w v v v v v  v< @wR 8wm  P* @sh `w s0 vuP/ Ha BM l l 0mvHm pm@mHZ+vW pfPmsXm|Mvp P8`P 0 0 6 < M@O@mHmPmXmop sv&8D]w  4Ga <2 l ATb~$;IZgz% 4@Xj~&:IYh0AM\q} /<Qa} " 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