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z z ky __cxa_finalize __cxa_atexit __register_atfork PyInit__philox PyModuleDef_Init PyThreadState_Get PyInterpreterState_GetID PyExc_ImportError PyErr_SetString PyObject_GetAttrString PyModule_NewObject _Py_Dealloc PyModule_GetDict PyDict_SetItemString _Py_NoneStruct PyExc_AttributeError PyErr_ExceptionMatches PyErr_Clear PyExc_RuntimeError PyImport_AddModule PyObject_SetAttrString Py_Version PyOS_snprintf PyErr_WarnEx PyTuple_New PyBytes_FromStringAndSize PyUnicode_FromStringAndSize PyObject_Hash PyUnicode_InternFromString PyUnicode_Decode PyLong_FromLong PyLong_FromString PyObject_SetAttr PyImport_GetModuleDict PyDict_GetItemString PyObject_GenericGetAttr _PyObject_GenericGetAttrWithDict PyTuple_Pack PyDict_SetItem PyList_New PyDict_New PyErr_Occurred PyExc_NameError PyErr_Format PyObject_GetAttr PyImport_ImportModule PyGC_Disable PyType_Ready PyGC_Enable PyCapsule_New malloc PyObject_GetItem PyCapsule_GetPointer PyExc_TypeError free _PyType_Lookup PyBaseObject_Type PyDict_DelItem PyType_Modified PyImport_GetModule _Py_TrueStruct _Py_FalseStruct PyObject_IsTrue PyImport_ImportModuleLevelObject _PyThreadState_UncheckedGet PyException_GetTraceback PyCapsule_Type PyExc_Exception _PyObject_GetDictPtr _PyDict_GetItem_KnownHash PyObject_Not PyFrame_New PyTraceBack_Here PyUnicode_FromFormat PyUnicode_AsUTF8 PyCode_NewEmpty PyMem_Realloc PyException_SetTraceback PyMem_Malloc PyErr_GivenExceptionMatches PyExc_ValueError PyLong_Type PyNumber_Long PyNumber_Multiply PyMethod_Type PyCFunction_Type PyType_IsSubtype Py_EnterRecursiveCall Py_LeaveRecursiveCall PyVectorcall_Function PyObject_VectorcallDict PyObject_Call PyExc_SystemError PyDict_Size PyUnicode_Type PyObject_RichCompare memcmp PyDict_Next PyUnicode_Compare PyObject_IsSubclass PyErr_SetObject PyLong_FromUnsignedLongLong PyLong_FromUnsignedLong PyExc_NotImplementedError PyDict_Type PyList_Type PyLong_FromSsize_t PyObject_SetItem PyExc_OverflowError PyDict_GetItemWithError PyExc_KeyError PyTuple_Type PyObject_RichCompareBool PyLong_AsUnsignedLongLong PyLong_AsLong PyLong_AsUnsignedLong PyExc_DeprecationWarning PyErr_WarnFormat PyCapsule_IsValid PyModule_GetName PyCapsule_GetName PyErr_NormalizeException libc.so LIBC libpython3.12.so 0S 4S 8S ü ( L ´ ¼ Ԗ ܖ $ , 0 4 @ D ` d h l ôS øS üS T T T # T * T 5 T 8 T < T = T B $T C (T P ,T Q 0T T 4T U 8T \ <T ^ @T g DT h HT i LT l PT n TT o XT t hT lT pT tT xT |T T T T
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T T T ¤T ¨T ¬T °T ´T ¸T ¼T ÀT ÄT ÈT ÌT ÐT ÔT ! ØT " ÜT $ àT % äT & èT ' ìT ( ðT ) ôT + øT , üT - U . U / U 0 U 1 U 2 U 3 U 4 U 6 U 7 $U 9 (U : ,U ; 0U > 4U ? 8U @ <U A @U D DU E HU F LU G PU H TU I XU J \U K `U L dU M hU N lU O pU R tU S xU V |U W U X U Y U Z U [ U ] U _ U ` U a U b ¤U c ¨U d ¬U e °U f ´U j ¸U k ¼U m ÀU p ÄU q ÈU r ÌU s ÐU u ÔU v ØU w ÜU x àU y "XÿÿÀYÿÿcYÿÿYÿÿ·ZÿÿXÿÿXÿÿXÿÿ ImportError Philox TypeError ValueError ? * __all__ bit_generator buffer buffer_pos __class__ cline_in_traceback counter delta disable empty enable format gc generate_state get __getstate__ has_uint32 __import__ _initializing isenabled jumps key __main__ __name__ np numpy.core.multiarray failed to import numpy.core.umath failed to import __pyx_state __pyx_vtable__ range __reduce__ __reduce_ex__ seed seed and key cannot be both used self._bitgen,self.rng_state cannot be converted to a Python object for pickling __setstate__ __spec__ state must be a dict state must be for a {0} PRNG step __test__ uint64 uinteger
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__ numpy dtype <name '%U' is not defined exactly Missing type object numpy.random._philox.Philox.advance module 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 . Module '_philox' has already been imported. Re-initialisation is not supported. numpy.random._philox.Philox.jumped SeedSequence %s() got multiple values for keyword argument '%U' __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) numpy.random._philox.Philox.__init__ ndarray does not match flexible C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s) numpy.core._multiarray_umath %.200s() keywords must be strings numpy.random._philox.Philox.state.__get__ complexfloating multiple bases have vtable conflict: '%.200s' and '%.200s' integer %.200s does not export expected C function %.200s loader __package__ _philox.pyx <stringsource> at most %.200s() takes %.8s %zd positional argument%.1s (%zd given) floating LEGACY_POISSON_LAM_MAX jumped numpy.random._philox.Philox.state.__set__ an integer is required POISSON_LAM_MAX _ARRAY_API is NULL pointer %s.%s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd from PyObject can't convert negative value to uint64_t s SeedlessSequence wrap_int _ARRAY_API FATAL: module compiled as unknown endian 0x100000000000000000000000000000000 _philox __file__ parent submodule_search_locations numpy.random._philox.Philox.__reduce_cython__ NULL result without error in PyObject_Call __loader__ double PyObject *(PyObject *, PyObject *) flatiter int_to_array int number C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s) %s (%s:%d) cython_runtime %.200s.%.200s size changed, may indicate binary incompatibility. Expected %zd from C header, got %zd from PyObject __path__ invalid vtable found for imported type character ufunc module compiled against ABI version 0x%x but this version of numpy is 0x%x BitGenerator Unable to initialize pickling for %.200s numpy/random/_philox.cpython-312.so.p/numpy/random/_philox.pyx.c origin __init__.cython-30.pxd compile time Python version %d.%d of module '%.100s' %s runtime version %d.%d can't convert negative value to uint32_t instance exception may not have a separate value uint64_t _ARRAY_API is not PyCapsule object numpy.random._philox %.200s.%.200s is not a type object calling %R should have returned an instance of BaseException, not %R name at least unsignedinteger MAXSIZE numpy.import_array builtins extension 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 type type PyArrayObject *(PyObject *, PyObject *, PyObject *, PyObject *) numpy.random._philox.Philox.__setstate_cython__ broadcast %.200s does not export expected C variable %.200s FATAL: module compiled as little endian, but detected different endianness at runtime numpy.random.bit_generator numpy.random._philox.Philox.jump_inplace numpy.random._philox.Philox
Get or set the PRNG state
Returns
-------
state : dict
Dictionary containing the information required to describe the
state of the PRNG
base class '%.200s' is not a heap type numpy.random._common Interpreter change detected - this module can only be loaded into one interpreter per process. __builtins__ while calling a Python object %s() got an unexpected keyword argument '%U' raise: exception class must be a subclass of BaseException __del__ init numpy.random._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.
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