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AùÖPAùÖPAùÖPAùÖPAùÖPAùÖP"AùÖP&AùÖP*AùÖP.AùÖP2AùÖP6AùÖP:AùÖP>AùÖPBAùÖPFAùÖPJAùÖPNAùÖPRAùÖPVAùÖPZAùÖP^AùÖPbAùÖPfAùÖPjAùÖPnAùÖQ1‚‘ðG¿©0n@ùÖPùÿÿPöÿÿ!Póÿÿ:PðÿÿVPíÿÿoPêÿÿ„Pçÿÿ›Päÿÿ±PáÿÿÍPÞÿÿìPÛÿÿþPØÿÿPÕÿÿ'PÒÿÿCPÏÿÿVPÌÿÿiPÉÿÿ‡PÆÿÿœPÃÿÿÀPÀÿÿáP½ÿÿøPºÿÿP·ÿÿ(P´ÿÿ=P±ÿÿVP®ÿÿwP«ÿÿ˜P¨ÿÿ¬P¥ÿÿÁP¢ÿÿÕPŸÿÿðPœÿÿP™ÿÿ*P–ÿÿHP“ÿÿqPÿÿ’Pÿÿ¥PŠÿÿ»P‡ÿÿÙP„ÿÿñPÿÿP~ÿÿ&P{ÿÿFPxÿÿ[PuÿÿqPrÿÿŠPoÿÿ£Plÿÿ¼Piÿÿ×PfÿÿíPcÿÿP`ÿÿP]ÿÿ3PZÿÿLPWÿÿkPTÿÿ„PQÿÿšPNÿÿ¶PKÿÿÎPHÿÿãPEÿÿPBÿÿ!P?ÿÿ:P<ÿÿYP9ÿÿrP6ÿÿ’P3ÿÿ¬P0ÿÿÅP-ÿÿÙP*ÿÿîP'ÿÿP$ÿÿP!ÿÿ4PÿÿMPÿÿgPÿÿ€PÿÿPÿÿÁPÿÿäPÿÿP	ÿÿ Pÿÿ>Pÿÿ`Pÿÿ‰Pýþÿ¦PúþÿÊP÷þÿáPôþÿõPñþÿ	Pîþÿ	Pëþÿ)	Pèþÿ8	C_leImportErrorPhiloxTypeErrorValueError?*__all__bit_generatorbufferbuffer_pos__class__cline_in_tracebackcounterdeltadisableemptyenableformatgcgenerate_stateget__getstate__has_uint32__import___initializingisenabledjumpskey__main____name__npnumpy.core.multiarray failed to importnumpy.core.umath failed to import__pyx_state__pyx_vtable__range__reduce____reduce_ex__seedseed and key cannot be both usedself._bitgen,self.rng_state cannot be converted to a Python object for pickling__setstate____spec__state must be a dictstate must be for a {0} PRNGstep__test__uint64uinteger
        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
        advance
        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.
        __reduce_cython____setstate_cython__state__init__numpydtype_philoxnameloader__loader__origin__file__parent__package__submodule_search_locations__path__Interpreter change detected - this module can only be loaded into one interpreter per process.Module '_philox' has already been imported. Re-initialisation is not supported.builtinscython_runtime__builtins__numpy.random._philoxinit numpy.random._philox_philox.pyx__init__.cython-30.pxd<stringsource>compile time Python version %d.%d of module '%.100s' %s runtime version %d.%ddoes not match0x100000000000000000000000000000000name '%U' is not definednumpy.random.bit_generatorBitGenerator%.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 PyObjectnumpy.random._philox.Philox.jump_inplace while calling a Python objectNULL result without error in PyObject_Callnumpy.random._philox.Philox
    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.
    jumpednumpy.random._philox.Philox.jumped%.200s() keywords must be strings%s() got an unexpected keyword argument '%U'%s() got multiple values for keyword argument '%U'at leastat mostexactly%.200s() takes %.8s %zd positional argument%.1s (%zd given)sMissing type objectCannot convert %.200s to %.200snumpy.random._philox.Philox.advancenumpy.random._philox.Philox.__reduce_cython__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 BaseExceptionnumpy.random._philox.Philox.__setstate_cython__
        Get or set the PRNG state

        Returns
        -------
        state : dict
            Dictionary containing the information required to describe the
            state of the PRNG
        numpy.random._philox.Philox.state.__get____del__numpy.random._philox.Philox.state.__set__can't convert negative value to uint64_tintan integer is required__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 intvalue too large to convert to uint32_tcan't convert negative value to uint32_tnumpy.random._philox.Philox.__init__base 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'invalid vtable found for imported typeUnable to initialize pickling for %.200stypeflatiterbroadcastndarraygenericnumberintegersignedintegerunsignedintegerinexactfloatingcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSequencenumpy.random._commonPOISSON_LAM_MAXdoubleLEGACY_POISSON_LAM_MAXMAXSIZEuint64_t__pyx_capi__%.200s does not export expected C variable %.200sC variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)wrap_intPyObject *(PyObject *, PyObject *)int_to_arrayPyArrayObject *(PyObject *, PyObject *, PyObject *, PyObject *)%.200s does not export expected C function %.200sC function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)numpy.import_arraynumpy.core._multiarray_umath_ARRAY_API_ARRAY_API is not PyCapsule object_ARRAY_API is NULL pointermodule 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 runtime%s (%s:%d)numpy/random/_philox.cpython-312-iphonesimulator.so.p/numpy/random/_philox.pyx.c44ø0XXxÊX-À@Ìì@8%”',2<3˜3°4587°79”9`?„?À?M8MÄM°VlWìX¨^Œ_taD„ †ø†Ȉ\ŒøŒ˜œèŽ€‘“–엀˜àÎìÎøÎÏÏÏ(Ï4Ï@ÏLÏXÏdÏpÏ|ψϔϠϬϸÏÄÏÐÏÜÏèÏôÏÐÐÐ$Ð0Ð<ÐHÐTÐ`ÐlÐxЄАМШдÐÀÐÌÐØÐäÐðÐüÐÑÑ Ñ,Ñ8ÑDÑPÑ\ÑhÑtрьјѤѰѼÑÈÑÔÑàÑìÑøÑÒÒÒ(Ò4Ò@ÒLÒXÒdÒpÒ|҈ҔҠҬҸÒÄÒÐÒÜÒèÒôÒÓÓÓ$Ó!Ý FPC184ÿÿÿÿÿÿÿÿòàØDáXp|p(EÈE¸p~ûò¼~‚£Õ‹×ˆ„‚“×àܨ‡‚òÜdˆ‚Ýl’$§eõ"`\FpRDpp0pSDpp(pp`RASASBRFT>@_PyBaseObject_TypeQq@_PyCFunction_Type@_PyCapsule_Type@_PyDict_Type@_PyExc_AttributeError@_PyExc_DeprecationWarning@_PyExc_Exception@_PyExc_ImportError@_PyExc_KeyError@_PyExc_NameError@_PyExc_NotImplementedError@_PyExc_OverflowError@_PyExc_RuntimeError@_PyExc_SystemError@_PyExc_TypeError@_PyExc_ValueError@_PyList_Type@_PyLong_Type@_PyMethod_Type@_PyObject_GenericGetAttr@_PyTuple_Type@_PyUnicode_Type@_Py_Version@__Py_FalseStruct@__Py_NoneStruct@__Py_TrueStruct@___stack_chk_guard@dyld_stub_binderr>@_PyBytes_FromStringAndSizer>@_PyCapsule_GetNamer>@_PyCapsule_GetPointerr>@_PyCapsule_IsValidr >@_PyCapsule_Newr(>@_PyCode_NewEmptyr0>@_PyDict_DelItemr8>@_PyDict_GetItemStringr@>@_PyDict_GetItemWithErrorrH>@_PyDict_NewrP>@_PyDict_NextrX>@_PyDict_SetItemr`>@_PyDict_SetItemStringrh>@_PyDict_Sizerp>@_PyErr_Clearrx>@_PyErr_ExceptionMatchesr€>@_PyErr_Formatrˆ>@_PyErr_GivenExceptionMatchesr>@_PyErr_NormalizeExceptionr˜>@_PyErr_Occurredr >@_PyErr_SetObjectr¨>@_PyErr_SetStringr°>@_PyErr_WarnExr¸>@_PyErr_WarnFormatrÀ>@_PyException_GetTracebackrÈ>@_PyException_SetTracebackrÐ>@_PyFrame_NewrØ>@_PyGC_Disablerà>@_PyGC_Enablerè>@_PyImport_AddModulerð>@_PyImport_GetModulerø>@_PyImport_GetModuleDictr€>@_PyImport_ImportModulerˆ>@_PyImport_ImportModuleLevelObjectr>@_PyInterpreterState_GetIDr˜>@_PyList_Newr >@_PyLong_AsLongr¨>@_PyLong_AsUnsignedLongr°>@_PyLong_FromLongr¸>@_PyLong_FromSsize_trÀ>@_PyLong_FromStringrÈ>@_PyLong_FromUnsignedLongrÐ>@_PyMem_MallocrØ>@_PyMem_Reallocrà>@_PyModuleDef_Initrè>@_PyModule_GetDictrð>@_PyModule_GetNamerø>@_PyModule_NewObjectr€>@_PyNumber_Longrˆ>@_PyNumber_Multiplyr>@_PyOS_snprintfr˜>@_PyObject_Callr >@_PyObject_GetAttrr¨>@_PyObject_GetAttrStringr°>@_PyObject_GetItemr¸>@_PyObject_HashrÀ>@_PyObject_IsSubclassrÈ>@_PyObject_IsTruerÐ>@_PyObject_NotrØ>@_PyObject_RichComparerà>@_PyObject_RichCompareBoolrè>@_PyObject_SetAttrrð>@_PyObject_SetAttrStringrø>@_PyObject_SetItemr€>@_PyObject_VectorcallDictrˆ>@_PyThreadState_Getr>@_PyTraceBack_Herer˜>@_PyTuple_Newr >@_PyTuple_Packr¨>@_PyType_IsSubtyper°>@_PyType_Modifiedr¸>@_PyType_ReadyrÀ>@_PyUnicode_AsUTF8rÈ>@_PyUnicode_ComparerÐ>@_PyUnicode_DecoderØ>@_PyUnicode_FromFormatrà>@_PyUnicode_FromStringAndSizerè>@_PyUnicode_InternFromStringrð>@_PyVectorcall_Functionrø>@_Py_EnterRecursiveCallr€>@_Py_LeaveRecursiveCallrˆ>@__PyDict_GetItem_KnownHashr>@__PyObject_GenericGetAttrWithDictr˜>@__PyObject_GetDictPtrr >@__PyThreadState_UncheckedGetr¨>@__PyType_Lookupr°>@__Py_Deallocr¸@___stack_chk_failrÀ@_bzerorÈ@_freerÐ@_mallocrØ@_memcmp_PyInit__philoxøaøa´Œ% Ô”„àÜì
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