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+?'[[	xڥRMO1M$T…Šªʡj«��Ô´ˆqB­R@”Š@z€Jhäؓ`صۛf/U9æ¸Ç=räØc~Çù	ü„ÚÙ4N]ÉãgÏ̛õÌóö¶×?2®I#@ζ(×9b"£Ä*úaN”"‰×$Ü:=#=FR™ëaqHÌÑíóŠ&Ãyˆhk©âGIGcÐô¡ÁMÅÜð D´!=J„ÆkX$E•ÉùˆWK̑žl#5^S*/âô$࢕'†±¦qjn޹hâ-k£\¸ŒÅµ•õ¥ÊЬî׷ÆÀPÈbŠ@‡
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hƂŸ\ÌgÓBã®F?GDC̅Y|Ï],¶˜Ý4Œësƒ¡ÎÿÞY[:$¶¬ýBÉâ$´»ˆ†RÉ•ëÅÏõÉÀjFUl'S—}“ gwþéõø;®áȜ䆭U·ˆÙfZ¥_Ü2œ‘Ǡ¶‘îíKgmgT›1êZ²“ëóíë	œó&øMá»"‘m–a2¶(r0…͵õêÊ
Ôv6êõmجnÁVu¿ð÷ٮúƷµ‹©géÂU¥0ý4J¿ddPzÔ;HY6ëÀa6›-\–vOV¯>Óå^)-¦³âeéyú)mfլ~vï¬q^”¦»åî«n»÷5-Oõ´èˆv{¤gÒåìÇùa¶¿0(Í\̼Èìþ¿ÔOlN9}™gþ¯ýÝ>¹I]LÝï¾ëíþ³¾Øg0000000000004u6tsrivqafgav7760c1eeri1l
        jumped(jumps=1)

        Returns a new bit generator with the state jumped.

        Jumps the state as-if jumps * 210306068529402873165736369884012333109
        random numbers have been generated.

        Parameters
        ----------
        jumps : integer, positive
            Number of times to jump the state of the bit generator returned

        Returns
        -------
        bit_generator : PCG64
            New instance of generator jumped iter times

        Notes
        -----
        The step size is phi-1 when multiplied by 2**128 where phi is the
        golden ratio.
        
        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 : PCG64
            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 a 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.

        Jumps the state as-if jumps * 210306068529402873165736369884012333109
        random numbers have been generated.

        Parameters
        ----------
        jumps : integer, positive
            Number of times to jump the state of the bit generator returned

        Returns
        -------
        bit_generator : PCG64DXSM
            New instance of generator jumped iter times

        Notes
        -----
        The step size is phi-1 when multiplied by 2**128 where phi is the
        golden ratio.
        
        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 : PCG64
            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 a 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.
        _pcg64nameloader__loader__origin__file__parent__package__submodule_search_locations__path__Interpreter change detected - this module can only be loaded into one interpreter per process.Module '_pcg64' has already been imported. Re-initialisation is not supported.builtinscython_runtime__builtins__numpy.random._pcg64init numpy.random._pcg64numpy/random/_pcg64.pyx<stringsource>compile time Python version %d.%d of module '%.100s' %s runtime version %d.%ddoes not matchzlibdecompressFailed to import '%.20s.decompress' - cannot initialise module strings. String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.numpy.core.multiarray failed to import (auto-generated because you didn't call 'numpy.import_array()' after cimporting numpy; use '<void>numpy._import_array' to disable if you are certain you don't need it).numpy._core._multiarray_umathnumpy.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 was compiled against NumPy C-API version 0x%x (NumPy 1.23) 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_cython_3_2_5Shared Cython type %.200s is not a type objectShared Cython type %.200s has the wrong size, try recompiling_cython_3_2_5._common_types_metatype__module___cython_3_2_5.cython_function_or_method<cyfunction %U at %p>unbound method %.200S() needs an argumentkeywords must be stringstakes no argumentstakes exactly one argumentBad call flags for CyFunctiontakes no keyword arguments%.200s() %s (%zd given)%.200s() %s__reduce____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_coroutine__name__ must be set to a string object__qualname__ must be set to a string object__defaults__ must be set to a tuple objectchanges to cyfunction.__defaults__ will not currently affect the values used in function calls__kwdefaults__ must be set to a dict objectchanges to cyfunction.__kwdefaults__ will not currently affect the values used in function calls__annotations__ must be set to a dict objectnumpy.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 PyObjectnumpy.random._pcg64.PCG64.jump_inplacenumpy.random._pcg64.PCG64PCG64(seed=None)
--

    BitGenerator for the PCG-64 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.

    Notes
    -----
    PCG-64 is a 128-bit implementation of O'Neill's permutation congruential
    generator ([1]_, [2]_). PCG-64 has a period of :math:`2^{128}` and supports
    advancing an arbitrary number of steps as well as :math:`2^{127}` streams.
    The specific member of the PCG family that we use is PCG XSL RR 128/64
    as described in the paper ([2]_).

    `PCG64` 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.

    Supports the method :meth:`advance` to advance the RNG an arbitrary number of
    steps. The state of the PCG-64 RNG is represented by 2 128-bit unsigned
    integers.

    **State and Seeding**

    The `PCG64` state vector consists of 2 unsigned 128-bit values,
    which are represented externally as Python ints. One is the state of the
    PRNG, which is advanced by a linear congruential generator (LCG). The
    second is a fixed odd increment used in the LCG.

    The input seed is processed by `SeedSequence` to generate both values. The
    increment is not independently settable.

    **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, PCG64, SeedSequence
    >>> sg = SeedSequence(1234)
    >>> rg = [Generator(PCG64(s)) for s in sg.spawn(10)]

    **Compatibility Guarantee**

    `PCG64` makes a guarantee that a fixed seed will always produce
    the same random integer stream.

    References
    ----------
    .. [1] `"PCG, A Family of Better Random Number Generators"
           <https://www.pcg-random.org/>`_
    .. [2] O'Neill, Melissa E. `"PCG: A Family of Simple Fast Space-Efficient
           Statistically Good Algorithms for Random Number Generation"
           <https://www.cs.hmc.edu/tr/hmc-cs-2014-0905.pdf>`_
    jumpedadvance__reduce_cython____setstate_cython__numpy.random._pcg64.PCG64.jumped%s() got an unexpected keyword argument '%U'%s() got multiple values for keyword argument '%U'%.200s() keywords must be stringsat leastat mostexactly%.200s() takes %.8s %zd positional argument%.1s (%zd given)sMissing type objectCannot convert %.200s to %.200snumpy.random._pcg64.PCG64.advancename '%U' is not defined while calling a Python objectNULL result without error in PyObject_Callnumpy.random._pcg64.PCG64.__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._pcg64.PCG64.__setstate_cython__state
        Get or set the PRNG state

        Returns
        -------
        state : dict
            Dictionary containing the information required to describe the
            state of the PRNG
        numpy.random._pcg64.PCG64.state.__get____del__numpy.random._pcg64.PCG64.state.__set__join() result is too long for a Python stringvalue too large to convert to intan 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.__int__ returned non-int (type %.200s)value too large to convert to uint32_tcan't convert negative value to uint32_t__init__numpy.random._pcg64.PCG64.__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 %.200snumpy.random._pcg64.PCG64DXSM.jump_inplacenumpy.random._pcg64.PCG64DXSMPCG64DXSM(seed=None)
--

    BitGenerator for the PCG-64 DXSM 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.

    Notes
    -----
    PCG-64 DXSM is a 128-bit implementation of O'Neill's permutation congruential
    generator ([1]_, [2]_). PCG-64 DXSM has a period of :math:`2^{128}` and supports
    advancing an arbitrary number of steps as well as :math:`2^{127}` streams.
    The specific member of the PCG family that we use is PCG CM DXSM 128/64. It
    differs from `PCG64` in that it uses the stronger DXSM output function,
    a 64-bit "cheap multiplier" in the LCG, and outputs from the state before
    advancing it rather than advance-then-output.

    `PCG64DXSM` 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.

    Supports the method :meth:`advance` to advance the RNG an arbitrary number of
    steps. The state of the PCG-64 DXSM RNG is represented by 2 128-bit unsigned
    integers.

    **State and Seeding**

    The `PCG64DXSM` state vector consists of 2 unsigned 128-bit values,
    which are represented externally as Python ints. One is the state of the
    PRNG, which is advanced by a linear congruential generator (LCG). The
    second is a fixed odd increment used in the LCG.

    The input seed is processed by `SeedSequence` to generate both values. The
    increment is not independently settable.

    **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, PCG64DXSM, SeedSequence
    >>> sg = SeedSequence(1234)
    >>> rg = [Generator(PCG64DXSM(s)) for s in sg.spawn(10)]

    **Compatibility Guarantee**

    `PCG64DXSM` makes a guarantee that a fixed seed will always produce
    the same random integer stream.

    References
    ----------
    .. [1] `"PCG, A Family of Better Random Number Generators"
           <http://www.pcg-random.org/>`_
    .. [2] O'Neill, Melissa E. `"PCG: A Family of Simple Fast Space-Efficient
           Statistically Good Algorithms for Random Number Generation"
           <https://www.cs.hmc.edu/tr/hmc-cs-2014-0905.pdf>`_
    numpy.random._pcg64.PCG64DXSM.jumpednumpy.random._pcg64.PCG64DXSM.advancenumpy.random._pcg64.PCG64DXSM.__reduce_cython__numpy.random._pcg64.PCG64DXSM.__setstate_cython__numpy.random._pcg64.PCG64DXSM.state.__get__numpy.random._pcg64.PCG64DXSM.state.__set__numpy.random._pcg64.PCG64DXSM.__init__typenumpydtypeflatiterbroadcastndarraygenericnumberintegersignedintegerunsignedintegerinexactfloatingcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSeedSequenceSeedlessSequencenumpy.random._commonvariable__pyx_capi__%.200s does not export expected C %.8s %.200sC %.8s %.200s.%.200s has wrong signature (expected %.500s, got %.500s)functionneeds an argument
44
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