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A BitGenerator should call this method in its constructor with an appropriate `n_words` parameter to properly seed itself. Parameters ---------- n_words : int dtype : np.uint32 or np.uint64, optional The size of each word. This should only be either `uint32` or `uint64`. Strings (`'uint32'`, `'uint64'`) are fine. Note that requesting `uint64` will draw twice as many bits as `uint32` for the same `n_words`. This is a convenience for `BitGenerator`\ s that express their states as `uint64` arrays. Returns ------- state : uint32 or uint64 array, shape=(n_words,) 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__dictoffset____vectorcalloffset____weaklistoffset__ spawn(n_children) Spawn a number of child `SeedSequence` s by extending the `spawn_key`. See :ref:`seedsequence-spawn` for additional notes on spawning children. Parameters ---------- n_children : int Returns ------- seqs : list of `SeedSequence` s See Also -------- random.Generator.spawn, random.BitGenerator.spawn : Equivalent method on the generator and bit generator. _cython_3_1_2.cython_function_or_method__getstate____setstate____reduce__ spawn(n_children) Create new independent child bit generators. See :ref:`seedsequence-spawn` for additional notes on spawning children. Some bit generators also implement ``jumped`` as a different approach for creating independent streams. .. versionadded:: 1.25.0 Parameters ---------- n_children : int Returns ------- child_bit_generators : list of BitGenerators Raises ------ TypeError When the underlying SeedSequence does not implement spawning. See Also -------- random.Generator.spawn, random.SeedSequence.spawn : Equivalent method on the generator and seed sequence. random_raw(self, size=None) Return randoms as generated by the underlying BitGenerator Parameters ---------- size : int or tuple of ints, optional Output shape. If the given shape is, e.g., ``(m, n, k)``, then ``m * n * k`` samples are drawn. Default is None, in which case a single value is returned. output : bool, optional Output values. Used for performance testing since the generated values are not returned. Returns ------- out : uint or ndarray Drawn samples. Notes ----- This method directly exposes the raw underlying pseudo-random number generator. All values are returned as unsigned 64-bit values irrespective of the number of bits produced by the PRNG. See the class docstring for the number of bits returned. random_rawUsed in tests_benchmark__pyx_unpickle_SeedlessSeedSequence__pyx_unpickle_SeedSequencehnumpy/random/bit_generator.pyx../numpy/__init__.cython-30.pxdnumpy/random/bit_generator.pxdcpython/type.pxdstate Get or set the PRNG state The base BitGenerator.state must be overridden by a subclass Returns ------- state : dict Dictionary containing the information required to describe the state of the PRNG seed_seq Get the seed sequence used to initialize the bit generator. .. versionadded:: 1.25.0 Returns ------- seed_seq : ISeedSequence The SeedSequence object used to initialize the BitGenerator. This is normally a `np.random.SeedSequence` instance. ctypes ctypes interface Returns ------- interface : namedtuple Named tuple containing ctypes wrapper * state_address - Memory address of the state struct * state - pointer to the state struct * next_uint64 - function pointer to produce 64 bit integers * next_uint32 - function pointer to produce 32 bit integers * next_double - function pointer to produce doubles * bitgen - pointer to the bit generator struct cffi CFFI interface Returns ------- interface : namedtuple Named tuple containing CFFI wrapper * state_address - Memory address of the state struct * state - pointer to the state struct * next_uint64 - function pointer to produce 64 bit integers * next_uint32 - function pointer to produce 32 bit integers * next_double - function pointer to produce doubles * bitgen - pointer to the bit generator struct _seed_seqlock_ctypes_cfficapsulenumpy.random.bit_generator.BitGenerator BitGenerator(seed=None) Base Class for generic BitGenerators, which provide a stream of random bits based on different algorithms. Must be overridden. 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 `~numpy.random.SeedSequence` to derive the initial `BitGenerator` state. One may also pass in a `SeedSequence` instance. All integer values must be non-negative. Attributes ---------- lock : threading.Lock Lock instance that is shared so that the same BitGenerator 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. See Also -------- SeedSequence entropyspawn_keypool_sizepooln_children_spawnednumpy.random.bit_generator.SeedSequence SeedSequence(entropy=None, *, spawn_key=(), pool_size=4) SeedSequence mixes sources of entropy in a reproducible way to set the initial state for independent and very probably non-overlapping BitGenerators. Once the SeedSequence is instantiated, you can call the `generate_state` method to get an appropriately sized seed. Calling `spawn(n) ` will create ``n`` SeedSequences that can be used to seed independent BitGenerators, i.e. for different threads. Parameters ---------- entropy : {None, int, sequence[int]}, optional The entropy for creating a `SeedSequence`. All integer values must be non-negative. spawn_key : {(), sequence[int]}, optional An additional source of entropy based on the position of this `SeedSequence` in the tree of such objects created with the `SeedSequence.spawn` method. Typically, only `SeedSequence.spawn` will set this, and users will not. pool_size : {int}, optional Size of the pooled entropy to store. Default is 4 to give a 128-bit entropy pool. 8 (for 256 bits) is another reasonable choice if working with larger PRNGs, but there is very little to be gained by selecting another value. n_children_spawned : {int}, optional The number of children already spawned. Only pass this if reconstructing a `SeedSequence` from a serialized form. Notes ----- Best practice for achieving reproducible bit streams is to use the default ``None`` for the initial entropy, and then use `SeedSequence.entropy` to log/pickle the `entropy` for reproducibility: >>> sq1 = np.random.SeedSequence() >>> sq1.entropy 243799254704924441050048792905230269161 # random >>> sq2 = np.random.SeedSequence(sq1.entropy) >>> np.all(sq1.generate_state(10) == sq2.generate_state(10)) True numpy.random.bit_generator.SeedlessSequencenumpy.random.bit_generator.SeedlessSeedSequence A seed sequence for BitGenerators with no need for seed state. See Also -------- SeedSequence, ISeedSequence numpy.random.bit_generator.__pyx_defaultsx Unpy_uint32*!6Ainsvx0x,Ba!!(,) .?gcnpreuse_setstateISeedSequence__reduce_cython__AssertionErrorabstractmethodgenerate_statestate_seed_seq__pyx_PickleError__setstate_cython__SeedlessSequenceBitGenerator.spawnSeedSequence.spawnasyncio.coroutines__bit_generator_ctorcline_in_tracebackn_children_spawnedA> 4z$l! )1qAU!54uD &NotImplementedError_int_to_uint32_arraySeedlessSeedSequence n_children_spawned=seed must be integerBitGenerator.__reduce__ISpawnableSeedSequence_coerce_to_uint32_arrayBitGenerator.__getstate__BitGenerator.__setstate__BitGenerator._benchmarkBitGenerator.random_rawunrecognized seed stringhkA ^1!!kkmmn'xq|7!6a7Nn\] 1__pyx_unpickle_SeedSequenceSeedlessSeedSequence.spawnnumpy.random.bit_generatorSeedSequence.generate_stateISeedSequence.generate_stateISpawnableSeedSequence.spawnSeedSequence.__reduce_cython__hkA ^1!"cceef>> import numpy as np >>> from numpy.random.bit_generator import _coerce_to_uint32_array >>> _coerce_to_uint32_array(12345) array([12345], dtype=uint32) >>> _coerce_to_uint32_array('12345') array([12345], dtype=uint32) >>> _coerce_to_uint32_array('0x12345') array([74565], dtype=uint32) >>> _coerce_to_uint32_array([12345, '67890']) array([12345, 67890], dtype=uint32) >>> _coerce_to_uint32_array(np.array([12345, 67890], dtype=np.uint32)) array([12345, 67890], dtype=uint32) >>> _coerce_to_uint32_array(np.array([12345, 67890], dtype=np.int64)) array([12345, 67890], dtype=uint32) >>> _coerce_to_uint32_array([12345, 0x10deadbeef, 67890, 0xdeadbeef]) array([ 12345, 3735928559, 16, 67890, 3735928559], dtype=uint32) >>> _coerce_to_uint32_array(1234567890123456789012345678901234567890) array([3460238034, 2898026390, 3235640248, 2697535605, 3], dtype=uint32) SeedlessSeedSequence.__setstate_cython__T44Dt `(``('`0&)`($```)1 8)9  ` `        `` `( ` `x `@`P ` `X`p`, ``" ` `X ` `X  ``  ` `  0 ` `   ` h  `x p  `  `x  ` ` ` ` ``` `  0 `  ` `@` `  `` `@ ``(  `  `8 ` ` ` `x)( )# `  P ` ` ` ` `` ` @ `  ``0`P `p `  ``($```  `  `p `$ ` `  `p``  ` `( ` `@ )- ` `  `  `` `, ` `  ` ` `4 ``@ 0 `D `  ` `   ` ` `P ` ` ` `< ` Coerce an input to a uint32 array. If a `uint32` array, pass it through directly. If a non-negative integer, then break it up into `uint32` words, lowest bits first. If a string starting with "0x", then interpret as a hex integer, as above. If a string of decimal digits, interpret as a decimal integer, as above. If a sequence of ints or strings, interpret each element as above and concatenate. Note that the handling of `int64` or `uint64` arrays are not just straightforward views as `uint32` arrays. If an element is small enough to fit into a `uint32`, then it will only take up one `uint32` element in the output. This is to make sure that the interpretation of a sequence of integers is the same regardless of numpy's default integer type, which differs on different platforms. Parameters ---------- x : int, str, sequence of int or str Returns ------- seed_array : uint32 array Examples -------- >>> import numpy as np >>> from numpy.random.bit_generator import _coerce_to_uint32_array >>> _coerce_to_uint32_array(12345) array([12345], dtype=uint32) >>> _coerce_to_uint32_array('12345') array([12345], dtype=uint32) >>> _coerce_to_uint32_array('0x12345') array([74565], dtype=uint32) >>> _coerce_to_uint32_array([12345, '67890']) array([12345, 67890], dtype=uint32) >>> _coerce_to_uint32_array(np.array([12345, 67890], dtype=np.uint32)) array([12345, 67890], dtype=uint32) >>> _coerce_to_uint32_array(np.array([12345, 67890], dtype=np.int64)) array([12345, 67890], dtype=uint32) >>> _coerce_to_uint32_array([12345, 0x10deadbeef, 67890, 0xdeadbeef]) array([ 12345, 3735928559, 16, 67890, 3735928559], dtype=uint32) >>> _coerce_to_uint32_array(1234567890123456789012345678901234567890) array([3460238034, 2898026390, 3235640248, 2697535605, 3], dtype=uint32) _coerce_to_uint32_array generate_state(n_words, dtype=np.uint32) Return the requested number of words for PRNG seeding. A BitGenerator should call this method in its constructor with an appropriate `n_words` parameter to properly seed itself. Parameters ---------- n_words : int dtype : np.uint32 or np.uint64, optional The size of each word. This should only be either `uint32` or `uint64`. Strings (`'uint32'`, `'uint64'`) are fine. Note that requesting `uint64` will draw twice as many bits as `uint32` for the same `n_words`. This is a convenience for `BitGenerator`\ s that express their states as `uint64` arrays. Returns ------- state : uint32 or uint64 array, shape=(n_words,) generate_state spawn(n_children) Spawn a number of child `SeedSequence` s by extending the `spawn_key`. See :ref:`seedsequence-spawn` for additional notes on spawning children. Parameters ---------- n_children : int Returns ------- seqs : list of `SeedSequence` s spawn__reduce_cython__00010203040506070809101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899000102030405060710111213141516172021222324252627303132333435363740414243444546475051525354555657606162636465666770717273747576770123456789abcdef0123456789ABCDEF__setstate_cython__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 runtimenumpy.import_arraynumpy.random.bit_generator._int_to_uint32_arraynumpy.random.bit_generator._coerce_to_uint32_arraynumpy.random.bit_generator.__defaults__numpy.random.bit_generator.ISeedSequence.generate_statenumpy.random.bit_generator.ISpawnableSeedSequence.spawnnumpy.random.bit_generator.SeedlessSeedSequence.generate_statenumpy.random.bit_generator.SeedlessSeedSequence.spawnnumpy.random.bit_generator.SeedlessSeedSequence.__reduce_cython__numpy.random.bit_generator.SeedlessSeedSequence.__setstate_cython__tuple__init__numpy.random.bit_generator.SeedSequence.__init__numpy.random.bit_generator.SeedSequence.__repr__numpy.random.bit_generator.SeedSequence.state.__get__numpy.random.bit_generator.SeedSequence.mix_entropynumpy.random.bit_generator.SeedSequence.get_assembled_entropynumpy.random.bit_generator.SeedSequence.generate_statenumpy.random.bit_generator.SeedSequence.spawnnumpy.random.bit_generator.SeedSequence.pool_size.__get__numpy.random.bit_generator.SeedSequence.n_children_spawned.__get__numpy.random.bit_generator.SeedSequence.__reduce_cython__numpy.random.bit_generator.SeedSequence.__setstate_cython__numpy.random.bit_generator.BitGenerator.__init__BitGeneratornumpy.random.bit_generator.BitGenerator.__getstate__numpy.random.bit_generator.BitGenerator.__setstate__numpy.random.bit_generator.BitGenerator.__reduce__numpy.random.bit_generator.BitGenerator.state.__get__numpy.random.bit_generator.BitGenerator.state.__set__numpy.random.bit_generator.BitGenerator.spawnnumpy.random.bit_generator.BitGenerator.random_rawnumpy.random.bit_generator.BitGenerator._benchmarknumpy.random.bit_generator.BitGenerator.ctypes.__get__numpy.random.bit_generator.BitGenerator.cffi.__get__numpy.random.bit_generator.__pyx_unpickle_SeedlessSeedSequenceobject of type 'NoneType' has no len()'NoneType' object is not subscriptablenumpy.random.bit_generator.__pyx_unpickle_SeedlessSeedSequence__set_statenumpy.random.bit_generator.__pyx_unpickle_SeedSequencenumpy.random.bit_generator.__pyx_unpickle_SeedSequence__set_state__del__builtinstypenumpydtypeflatiterbroadcastndarraygenericnumberintegersignedintegerunsignedintegerinexactfloatingcomplexfloatingflexiblecharacterufuncnumpy.random._commondoublePOISSON_LAM_MAXLEGACY_POISSON_LAM_MAXuint64_tMAXSIZEPyObject *(bitgen_t *, PyObject *, Py_ssize_t, PyObject *)benchmarkPyObject *(bitgen_t *, PyObject *, PyObject *, PyObject *)PyObject *(bitgen_t *)prepare_cffiprepare_ctypesInterpreter change detected - this module can only be loaded into one interpreter per process.name__loader__loader__file__origin__package__parent__path__submodule_search_locationsModule 'bit_generator' has already been imported. Re-initialisation is not supported.cython_runtime__builtins__numpy.random.bit_generator__orig_bases__init numpy.random.bit_generator4294967296name '%U' is not defined while calling a Python objectNULL result without error in PyObject_Callraise: arg 3 must be a traceback or Noneinstance exception may not have a separate valuecalling %R should have returned an instance of BaseException, not %Rraise: exception class must be a subclass of BaseExceptionexception causes must derive from BaseException%s() got multiple values for keyword argument '%U'%.200s() keywords must be strings%s() got an unexpected keyword argument '%U'at leastat mostexactlys%.200s() takes %.8s %zd positional argument%.1s (%zd given)keywords must be stringsExpected %s, got %.200sMissing type objectCannot convert %.200s to %.200sstrings are too large to concatjoin() result is too long for a Python string%c arg not in range(0x110000)buffer dtypeDoes not understand character buffer dtype format string ('%c')Unexpected format string character: '%c''bool''char''signed char''unsigned char''short''unsigned short''int''unsigned int''long''unsigned long''long long''unsigned long long''complex float''float''complex double''double''complex long double''long double'a structPython objecta pointera stringendunparsable format stringPython does not define a standard format string size for long double ('g')..'Buffer dtype mismatch, expected %s%s%s but got %sBuffer dtype mismatch, expected '%s' but got %s in '%s.%s'Expected a dimension of size %zu, got %zuExpected %d dimensions, got %dBuffer dtype mismatch; next field is at offset %zd but %zd expectedCannot handle repeated arrays in format stringExpected a dimension of size %zu, got %dExpected a comma in format string, got '%c'Expected %d dimension(s), got %dUnexpected end of format string, expected ')'Big-endian buffer not supported on little-endian compilerBuffer acquisition: Expected '{' after 'T'Buffer has wrong number of dimensions (expected %d, got %d)Item size of buffer (%zd byte%s) does not match size of '%s' (%zd byte%s)Out of bounds on buffer access (axis %d)%.200s object is not an iteratorcannot import name %Shasattr(): attribute name must be stringbase 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 typeinvalid vtable found for imported typemultiple bases have vtable conflict: '%.200s' and '%.200s'Unable to initialize pickling for %.200s%.200s.%.200s is not a type object%.200s.%.200s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd from PyObject%.200s.%.200s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd-%zd from PyObject.No module named '%U'_cython_3_1_2Shared Cython type %.200s is not a type objectShared Cython type %.200s has the wrong size, try recompiling__name__ must be set to a string object__qualname__ must be set to a string objectfunction's dictionary may not be deletedsetting function's dictionary to a non-dict__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 object%.200s() %s (%zd given)%.200s() %sBad call flags for CyFunctiontakes no argumentstakes exactly one argumenttakes no keyword argumentsunbound method %.200S() needs an argumentneeds an argument__mro_entries__ must return a tuplemetaclass conflict: the metaclass of a derived class must be a (non-strict) subclass of the metaclasses of all its basescan't convert negative value to uint32_tdoes not matchcompile time Python version %d.%d of module '%.100s' %s runtime version %d.%d__pyx_capi__%.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)__int__ returned non-int (type %.200s). 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