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LD$IMf.+6LD$IH=LD$ݣLD$IMM9H LLLx~H@`H(HHLIHH5nH@Ht$ H9 IAHxmHPHv,Hu1EaAAII I)L0HtEaLLL$3LL$II)AH2nLL$H5VH81LL$I)L0|H@`HT$HHHLIHH mH@HT$H9HL$ uZIAHHHHvvHuOAQAAHH I)LHT$u/HT$pLcIHfH@HT$LLL$2LL$HI)2HtAQH mLL$H5-H8/LL$I)L.Ai1H:HlH5H8/@1HuH$lH5 H8u/I,$L.H@`HT$(HHH LHD$HH5alH@HT$(H9Ht$ uxHD$H@HGHHHHukHD$P@HH HL$HHD$ HHH|$HT$ -HT$ H|$__pyx_capi____loader__loader__file__origin__package__parent__path__submodule_search_locationsneeds an argumentkeywords must be stringsan integer is requirednumpy/random/_philox.pyx__setstate_cython__exactlyadvanceat leastat mostjumpedMissing type objectname '%U' is not defined__reduce_cython____del____init__builtinscython_runtime__builtins__does not match_cython_3_1_0numpy.random.bit_generatorBitGeneratornumpydtypeflatiterbroadcastndarraygenericnumberunsignedintegerinexactcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSequencenumpy.random._commondoubleLEGACY_POISSON_LAM_MAXuint64_tMAXSIZEwrap_intint_to_arraynumpy._core._multiarray_umathnumpy.core._multiarray_umath_ARRAY_API_ARRAY_API is NULL pointernumpy.import_arrayinit numpy.random._philox__reduce____module____dictoffset____vectorcalloffset____weaklistoffset__func_doc__doc__func_name__name____qualname__func_dict__dict__func_globals__globals__func_closure__closure__func_code__code__func_defaults__defaults____kwdefaults____annotations___is_coroutinenumpy.random._philox.Philoxstate__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.__int__ returned non-int (type %.200s)C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)%.200s does not export expected C variable %.200sC function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)%.200s does not export expected C function %.200sInterpreter change detected - this module can only be loaded into one interpreter per process.Shared Cython type %.200s is not a type objectShared Cython type %.200s has the wrong size, try recompilingunbound method %.200S() needs an argumentvalue too large to convert to int__annotations__ must be set to a dict object__kwdefaults__ must be set to a dict objectchanges to cyfunction.__kwdefaults__ will not currently affect the values used in function calls__defaults__ must be set to a tuple objectchanges to cyfunction.__defaults__ will not currently affect the values used in function callsfunction's dictionary may not be deletedsetting function's dictionary to a non-dict__qualname__ must be set to a string object__name__ must be set to a string object%.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() keywords must be strings%s() got multiple values for 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%s() got an unexpected keyword argument '%U'numpy.random._philox.Philox.jump_inplace%.200s() takes %.8s %zd positional argument%.1s (%zd given)numpy.random._philox.Philox.__setstate_cython__numpy.random._philox.Philox.advancecan't convert negative value to uint64_tcan't convert negative value to uint32_tvalue too large to convert to uint32_tnumpy.random._philox.Philox.jumpedCannot convert %.200s to %.200snumpy.random._philox.Philox.__reduce_cython__numpy.random._philox.Philox.state.__get__ while calling a Python objectNULL result without error in PyObject_Callnumpy.random._philox.Philox.state.__set__numpy.random._philox.Philox.__init__Module '_philox' has already been imported. Re-initialisation is not supported.compile time Python version %d.%d of module '%.100s' %s runtime version %d.%d0x100000000000000000000000000000000base 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 was compiled against NumPy C-API version 0x%x (NumPy 1.20) but the running NumPy has C-API version 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 runtime../numpy/__init__.cython-30.pxd_cython_3_1_0.cython_function_or_method 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 :meth:`jumped` method to advance the state as-if :math:`2^{128}` random numbers have been generated. Alternatively, :meth:`advance` can be used to advance the counter for any positive step in [0, 2**256). When using :meth:`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 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} PRNGnumpy/random/_philox.pyxPhilox.__setstate_cython__Philox.__reduce_cython__state must be a dictnumpy.random._philoxcline_in_tracebackasyncio.coroutines__setstate_cython__generate_statePhilox.advance__reduce_cython__bit_generatorPhilox.jumped_is_coroutine_initializingImportError__pyx_vtable__has_uint32buffer_posValueError__reduce_ex____pyx_stateisenabledTypeErroruinteger__setstate____set_name____qualname____getstate__disabledelta_acounteradvanceuint64__reduce____module__jumpedformatenablebufferPhiloxstaterangenumpyjumpsemptydtypedelta__class____test__step__spec__selfseed__name____main____init____func__popkeyget__all__npgc?@<;tMPtLh<K! 2P`p  8P`h! !@!!!!0p"P"@#%% &D'0+,@P-\-. //0< 0X 1l 02 4T `7 p7 8 8( @; @< < `= = >@ B PD D Hx J OTQ0TPW<Xt_p` cPPf0@ ,zRx $FJ w?;*3$"D@L]^\x pt p lx&Da@\ cA\ d@AGG0k GAF d DAG Z CAJ 8LLX`d7AU J V$MAU J \ D LzYF A |A@ G b F 4}BEE A(D0a(D BBB8<AdN PtjA C H H t )AcD'BEE L(A0A8E@8D0A(B BBBD'BEE L(A0A8E@8D0A(B BBB8 ~BEH A(A0b(D BBB8\aBBE A(A0K(D BBB4BDD  GBG AAB  Dq K K E BA@x (!BBE B(D0D8Dc 8G0A(B BBBF R 8D0A(B BBBA Q 8I0A(B BBBM @,$BAD G DBD ] AEE _ DBK %}DE G (%ADD U AAH (`&ADD U AAH @&Do E o I `D'hDo E o'hDo E ol BBB E(D0G8X`hApBxAAABAABL`T8D0A(B BBBGD`BH(BEE E(A0D8E@[8D0A(B BBBPt& BHE A(D0JGfA\0D(A BBB&D` D  'xx''BBB E(A0A8D@_ 8A0A(B BBBF _ 8A0A(B BBBG _ 8F0A(B BBBB ht@(BBD  EBH T BBP F EBK f BBF Q EBH t BBH T)4PBB B(A0A8Z0A(M BHBDP8$8mcBDA XAB`, (t,BAG U DBK ,`-GBBB B(D0D8G` 8A0A(B BBBG  8C0A(B BBBH H /BEE B(A0D8Gp 8A0A(B BBBA d `0x 0e|h T1dh 1Do E C E ` x2BBB B(D0D8FP 8A0A(B BBBC N 8A0A(B BBBH @0 $6zBED D0  ABBE C  CBBF t `7zYF A l 7BIE B(A0A8DW_A^ 8C0A(B BBBH W_A@ ;!bBB A(A0D@S 0D(A BBBF $H WBDA LABlp <BLE B(A0A8DCW_Ab 8D0A(B BBBD (W_A@ tA1BAD | DBG D ABI P AEJ X$ pB EBB B(A0A8q 0A(g BBBD w 0A(G EEBE D 4E EBB B(A0A8 0A(O BBBB 4 HBAD M DBF @ AEJ X tIBIB B(D0A8D|HYAi 8D0A(B BBBD 8\ 8O_BBA A(D0U (D ABBH @ \PBBE A(A0D@z 0D(A BBBD L RDBBA D@P  CBBH LHRP`HA@F  ABBF L,UBBB B(A0A8D 8D0A(B BBBH L|8n*BBB B(A0A8D. 8D0A(B BBBG \ȘBMT B(D0A8J 8D0A(B BBBA lVRA\,3W BBB B(A0A8GZiHHK8A0A(B BBB* q@qxxS xQ `R`0P`P`P`8Q`Q `Q `vS pR`hS`P`(Q`R`Q `R `P`hR`R``R`XR R`R`R R`PS `sS P`aS`HR `Q `@S `hQ`XQ`Q R`R`]S`0S `R ` S `pS`R`O( `O# pP`O YS`Q `Q`8R `R`R `Q`Q`S` O! 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