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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)Interpreter change detected - this module can only be loaded into one interpreter per process.Failed to import '%.20s.decompress' - cannot initialise module strings. String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.%.200s.%.200s is not a type object%.200s.%.200s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd from PyObjectinvalid vtable found for imported typeunbound method %.200S() needs an argument%s() got an unexpected keyword argument '%U'__annotations__ must be set to a dict object__qualname__ must be set to a string object__name__ must be set to a string 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 callsinstance exception may not have a separate valuecalling %R should have returned an instance of BaseException, not %Rraise: exception class must be a subclass of BaseExceptionvalue too large to convert to uint32_tcan't convert negative value to uint32_tvalue too large to convert to int while calling a Python objectNULL result without error in PyObject_Callnumpy.random._mt19937.MT19937.jump_inplace%.200s() takes %.8s %zd positional argument%.1s (%zd given)numpy.random._mt19937.MT19937.__setstate_cython__numpy.random._mt19937.MT19937.__reduce_cython__numpy.random._mt19937.MT19937.state.__get__numpy.random._mt19937.MT19937.jumpedCannot convert %.200s to %.200shasattr(): attribute name must be stringnumpy.random._mt19937.MT19937._legacy_seedingnumpy.random._mt19937.MT19937.__init__join() result is too long for a Python stringnumpy.random._mt19937.MT19937.state.__set__Module '_mt19937' has already been imported. Re-initialisation is not supported.compile time Python version %d.%d of module '%.100s' %s runtime version %d.%dbase 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 %.200s_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 1.23) 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../numpy/__init__.cython-30.pxd_cython_3_2_1.cython_function_or_method_cython_3_2_1._common_types_metatype 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 needs an argument%.200s() %stakes no keyword argumentstakes exactly one argument%.200s() %s (%zd given)takes no argumentsBad call flags for CyFunction_cython_3_2_1__loader__loader__file__origin__package__parent__path__submodule_search_locationsdecompresszlibkeywords must be stringsan integer is requirednumpy/random/_mt19937.pyx__setstate_cython__exactlyname '%U' is not defined__reduce_cython__at mostat leastjumpedMissing type object_legacy_seeding__init____del__builtinscython_runtime__builtins__does not matchBitGeneratornumpy.random.bit_generatornumpydtypeflatiterbroadcastndarraygenericnumberunsignedintegerinexactcomplexfloatingflexiblecharacterufuncSeedSequenceSeedlessSequencenumpy._core._multiarray_umathnumpy.core._multiarray_umath_ARRAY_API_ARRAY_API is NULL pointernumpy.import_arrayinit 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