1028 lines
44 KiB
Python
1028 lines
44 KiB
Python
# Copyright 2018 The TensorFlow Authors. All Rights Reserved.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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# ==============================================================================
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"""Stateless random ops which take seed as a tensor input."""
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import enum
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import numpy as np
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from tensorflow.python.framework import constant_op
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from tensorflow.python.framework import dtypes
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from tensorflow.python.framework import ops
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from tensorflow.python.framework import tensor_util
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from tensorflow.python.ops import array_ops
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from tensorflow.python.ops import bitwise_ops
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from tensorflow.python.ops import gen_random_index_shuffle_ops
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from tensorflow.python.ops import gen_stateless_random_ops
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from tensorflow.python.ops import gen_stateless_random_ops_v2
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from tensorflow.python.ops import math_ops
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from tensorflow.python.util import deprecation
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from tensorflow.python.util import dispatch
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from tensorflow.python.util.tf_export import tf_export
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ops.NotDifferentiable("StatelessMultinomial")
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ops.NotDifferentiable("StatelessRandomBinomial")
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ops.NotDifferentiable("StatelessRandomNormal")
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ops.NotDifferentiable("StatelessRandomPoisson")
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ops.NotDifferentiable("StatelessRandomUniform")
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ops.NotDifferentiable("StatelessRandomUniformInt")
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ops.NotDifferentiable("StatelessRandomUniformFullInt")
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ops.NotDifferentiable("StatelessTruncatedNormal")
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ops.NotDifferentiable("StatelessRandomNormalV2")
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ops.NotDifferentiable("StatelessRandomUniformV2")
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ops.NotDifferentiable("StatelessRandomUniformIntV2")
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ops.NotDifferentiable("StatelessRandomUniformFullIntV2")
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ops.NotDifferentiable("StatelessTruncatedNormalV2")
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ops.NotDifferentiable("StatelessRandomShuffle")
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ops.NotDifferentiable("RandomIndexShuffle")
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@tf_export("random.Algorithm", "random.experimental.Algorithm")
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class Algorithm(enum.Enum):
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"""A random-number-generation (RNG) algorithm.
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Many random-number generators (e.g. the `alg` argument of
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`tf.random.Generator` and `tf.random.stateless_uniform`) in TF allow
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you to choose the algorithm used to generate the (pseudo-)random
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numbers. You can set the algorithm to be one of the options below.
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* `PHILOX`: The Philox algorithm introduced in the paper ["Parallel
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Random Numbers: As Easy as 1, 2,
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3"](https://www.thesalmons.org/john/random123/papers/random123sc11.pdf).
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* `THREEFRY`: The ThreeFry algorithm introduced in the paper
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["Parallel Random Numbers: As Easy as 1, 2,
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3"](https://www.thesalmons.org/john/random123/papers/random123sc11.pdf).
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* `AUTO_SELECT`: Allow TF to automatically select the algorithm
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depending on the accelerator device. Note that with this option,
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running the same TF program on different devices may result in
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different random numbers. Also note that TF may select an
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algorithm that is different from `PHILOX` and `THREEFRY`.
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"""
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# The numbers here must match framework/rng_alg.h
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PHILOX = 1
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THREEFRY = 2
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AUTO_SELECT = 3
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def unsupported_alg_error_msg(alg):
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"""Produces the unsupported-algorithm error message."""
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if isinstance(alg, int):
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philox = Algorithm.PHILOX.value
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threefry = Algorithm.THREEFRY.value
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auto_select = Algorithm.AUTO_SELECT.value
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elif isinstance(alg, str):
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philox = "philox"
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threefry = "threefry"
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auto_select = "auto_select"
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else:
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philox = Algorithm.PHILOX
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threefry = Algorithm.THREEFRY
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auto_select = Algorithm.AUTO_SELECT
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return (f"Argument `alg` got unsupported value {alg}. Supported values are "
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f"{philox} for the Philox algorithm, "
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f"{threefry} for the ThreeFry algorithm, and "
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f"{auto_select} for auto-selection.")
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def convert_alg_to_int(alg):
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"""Converts algorithm to an integer.
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Args:
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alg: can be one of these types: integer, Algorithm, Tensor, string. Allowed
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strings are "philox" and "threefry".
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Returns:
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An integer, unless the input is a Tensor in which case a Tensor is returned.
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"""
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if isinstance(alg, int):
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return alg
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if isinstance(alg, Algorithm):
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return alg.value
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if isinstance(alg, ops.Tensor):
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return alg
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if isinstance(alg, str):
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# canonicalized alg
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canon_alg = alg.strip().lower().replace("-", "").replace("_", "")
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if canon_alg == "philox":
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return Algorithm.PHILOX.value
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elif canon_alg == "threefry":
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return Algorithm.THREEFRY.value
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elif canon_alg == "autoselect":
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return Algorithm.AUTO_SELECT.value
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else:
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raise ValueError(unsupported_alg_error_msg(alg))
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else:
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raise TypeError(
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f"Can't convert argument `alg` (of value {alg} and type {type(alg)}) "
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f"to int.")
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def _get_key_counter(seed, alg):
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"""Calculates the key and counter to pass to raw RNG ops.
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This function calculates the key and counter that will be passed to
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the raw RNG ops like `StatelessRandomUniformV2`. Depending on the
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input `alg`, the key and counter may be scrambled or copied from
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`seed`. If `alg` is `"auto_select"`, the key and counter will be
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determined at runtime based on device type.
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Args:
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seed: An integer tensor of shape [2]. The seed to calculate the
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key and counter from.
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alg: The RNG algorithm. See `tf.random.stateless_uniform` for an
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explanation.
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Returns:
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A pair (key, counter) suitable for V2 stateless RNG ops like
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`StatelessRandomUniformV2`.
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"""
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if alg == Algorithm.AUTO_SELECT.value:
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key, counter = gen_stateless_random_ops_v2.stateless_random_get_key_counter(
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seed)
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elif alg == Algorithm.PHILOX.value:
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key, counter = _philox_scramble_seed(seed)
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elif alg == Algorithm.THREEFRY.value:
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key = array_ops.reshape(
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uint32s_to_uint64(math_ops.cast(seed, dtypes.uint32)), [1])
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counter = array_ops.zeros([1], dtypes.uint64)
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else:
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raise ValueError(unsupported_alg_error_msg(alg))
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return key, counter
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def _get_key_counter_alg(seed, alg):
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if alg is None:
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alg = Algorithm.AUTO_SELECT.value
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alg = convert_alg_to_int(alg)
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key, counter = _get_key_counter(seed, alg)
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return key, counter, alg
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def _philox_scramble_seed(seed):
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# the same scrambling procedure as core/kernels/stateless_random_ops.cc
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key = constant_op.constant([0x02461e293ec8f720], dtypes.uint64)
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counter = math_ops.cast(seed, dtypes.uint64)
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mix = gen_stateless_random_ops_v2.stateless_random_uniform_full_int_v2(
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[4], key=key, counter=counter, dtype=dtypes.uint32,
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alg=Algorithm.PHILOX.value)
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key = array_ops.reshape(uint32s_to_uint64(mix[:2]), [1])
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counter = array_ops.stack([0, uint32s_to_uint64(mix[2:])], axis=0)
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return key, counter
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def uint32s_to_uint64(x):
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return bitwise_ops.bitwise_or(
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math_ops.cast(x[0], dtypes.uint64),
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bitwise_ops.left_shift(math_ops.cast(x[1], dtypes.uint64),
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constant_op.constant(32, dtypes.uint64)))
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@tf_export("random.split", "random.experimental.stateless_split")
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@dispatch.add_dispatch_support
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def split(seed, num=2, alg="auto_select"):
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"""Splits an RNG seed into `num` new seeds by adding a leading axis.
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Example:
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>>> seed = [1, 2]
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>>> new_seeds = tf.random.split(seed, num=3)
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>>> print(new_seeds)
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tf.Tensor(
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[[1105988140 1738052849]
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[-335576002 370444179]
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[ 10670227 -246211131]], shape=(3, 2), dtype=int32)
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>>> tf.random.stateless_normal(shape=[3], seed=new_seeds[0, :])
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<tf.Tensor: shape=(3,), dtype=float32, numpy=array([-0.59835213, -0.9578608 ,
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0.9002807 ], dtype=float32)>
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Args:
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seed: an RNG seed (a tensor with shape [2] and dtype `int32` or
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`int64`). (When using XLA, only `int32` is allowed.)
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num: optional, a positive integer or scalar tensor indicating the number of
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seeds to produce (default 2).
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alg: The RNG algorithm used to generate the random numbers. See
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`tf.random.stateless_uniform` for a detailed explanation.
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Returns:
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A tensor with shape [num, 2] representing `num` new seeds. It will have the
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same dtype as `seed` (if `seed` doesn't have an explict dtype, the dtype
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will be determined by `tf.convert_to_tensor`).
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"""
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seed = ops.convert_to_tensor(seed)
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return stateless_random_uniform(shape=[num, 2], seed=seed, dtype=seed.dtype,
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minval=None, maxval=None, alg=alg)
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@tf_export("random.fold_in", "random.experimental.stateless_fold_in")
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@dispatch.add_dispatch_support
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def fold_in(seed, data, alg="auto_select"):
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"""Folds in data to an RNG seed to form a new RNG seed.
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For example, in a distributed-training setting, suppose we have a master seed
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and a replica ID. We want to fold the replica ID into the master seed to
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form a "replica seed" to be used by that replica later on, so that different
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replicas will generate different random numbers but the reproducibility of the
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whole system can still be controlled by the master seed:
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>>> master_seed = [1, 2]
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>>> replica_id = 3
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>>> replica_seed = tf.random.experimental.stateless_fold_in(
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... master_seed, replica_id)
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>>> print(replica_seed)
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tf.Tensor([1105988140 3], shape=(2,), dtype=int32)
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>>> tf.random.stateless_normal(shape=[3], seed=replica_seed)
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<tf.Tensor: shape=(3,), dtype=float32, numpy=array([0.03197195, 0.8979765 ,
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0.13253039], dtype=float32)>
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Args:
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seed: an RNG seed (a tensor with shape [2] and dtype `int32` or
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`int64`). (When using XLA, only `int32` is allowed.)
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data: an `int32` or `int64` scalar representing data to be folded in to the
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seed.
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alg: The RNG algorithm used to generate the random numbers. See
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`tf.random.stateless_uniform` for a detailed explanation.
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Returns:
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A new RNG seed that is a deterministic function of the inputs and is
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statistically safe for producing a stream of new pseudo-random values. It
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will have the same dtype as `data` (if `data` doesn't have an explict dtype,
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the dtype will be determined by `tf.convert_to_tensor`).
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"""
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data = ops.convert_to_tensor(data)
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seed1 = stateless_random_uniform(shape=[], seed=seed, dtype=data.dtype,
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minval=None, maxval=None, alg=alg)
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return array_ops.stack([seed1, data])
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@tf_export("random.experimental.index_shuffle")
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@dispatch.add_dispatch_support
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def index_shuffle(index, seed, max_index):
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"""Outputs the position of `index` in a permutation of `[0, ..., max_index]`.
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For each possible `seed` and `max_index` there is one pseudorandom
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permutation of the sequence `S=[0, ..., max_index]`. Instead of
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materializing the full array we can compute the new position of any
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integer `i` (`0 <= i <= max_index`) in `S`. This can be useful for
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very large `max_index`s by avoiding allocating large chunks of
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memory.
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In the simplest case, `index` and `max_index` are scalars, and
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`seed` is a length-2 vector (as typical for stateless RNGs). But
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you can add a leading batch dimension to all of them. If some of
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them don't have the batch dimension while others do, `index_shuffle`
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will add a batch dimension to the former by broadcasting.
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The input `index` and output can be used as indices to shuffle a
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vector. For example:
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>>> vector = tf.constant(['e0', 'e1', 'e2', 'e3'])
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>>> indices = tf.random.experimental.index_shuffle(
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... index=tf.range(4), seed=[5, 9], max_index=3)
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>>> print(indices)
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tf.Tensor([2 0 1 3], shape=(4,), dtype=int32)
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>>> shuffled_vector = tf.gather(vector, indices)
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>>> print(shuffled_vector)
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tf.Tensor([b'e2' b'e0' b'e1' b'e3'], shape=(4,), dtype=string)
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More usefully, it can be used in a streaming (aka online) scenario such as
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`tf.data`, where each element of `vector` is processed individually and the
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whole `vector` is never materialized in memory.
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>>> dataset = tf.data.Dataset.range(10)
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>>> dataset = dataset.map(
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... lambda idx: tf.random.experimental.index_shuffle(idx, [5, 8], 9))
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>>> print(list(dataset.as_numpy_iterator()))
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[3, 8, 0, 1, 2, 7, 6, 9, 4, 5]
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This operation is stateless (like the `tf.random.stateless_*`
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functions), meaning the output is fully determined by the `seed`
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(other inputs being equal). Each `seed` choice corresponds to one
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permutation, so when calling this function multiple times for the
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same shuffling, please make sure to use the same `seed`. For
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example:
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>>> seed = [5, 9]
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>>> idx0 = tf.random.experimental.index_shuffle(0, seed, 3)
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>>> idx1 = tf.random.experimental.index_shuffle(1, seed, 3)
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>>> idx2 = tf.random.experimental.index_shuffle(2, seed, 3)
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>>> idx3 = tf.random.experimental.index_shuffle(3, seed, 3)
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>>> shuffled_vector = tf.gather(vector, [idx0, idx1, idx2, idx3])
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>>> print(shuffled_vector)
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tf.Tensor([b'e2' b'e0' b'e1' b'e3'], shape=(4,), dtype=string)
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Args:
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index: An integer scalar tensor or vector with values in `[0,
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max_index]`. It can be seen as either a value `v` in the
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sequence `S=[0, ..., max_index]` to be permutated, or as an
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index of an element `e` in a shuffled vector.
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seed: A tensor of shape [2] or [n, 2] with dtype `int32`,
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`uint32`, `int64` or `uint64`. The RNG seed. If the rank is
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unknown during graph-building time it must be 1 at runtime.
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max_index: A non-negative tensor with the same shape and dtype as
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`index`. The upper bound (inclusive).
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Returns:
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If all inputs were scalar (shape [2] for `seed`), the output will
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be a scalar with the same dtype as `index`. The output can be seen
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as the new position of `v` in `S`, or as the index of `e` in the
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vector before shuffling. If one or multiple inputs were vectors
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(shape [n, 2] for `seed`), then the output will be a vector of the
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same size which each element shuffled independently. Scalar values
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are broadcasted in this case.
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"""
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# We expect users to pass a seed with shape [2] to be consistent with other
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# stateless_* ops, but the raw op expects shape [3].
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seed = ops.convert_to_tensor(seed)
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# Pad the first dimension with an arbitrary number since our raw op expects
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# shape [3].
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if seed.shape.rank is None:
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paddings = [[1, 0]]
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else:
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paddings = [[1, 0]] + (seed.shape.rank - 1) * [[0, 0]]
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seed = array_ops.pad(seed, paddings, constant_values=498247692)
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return gen_random_index_shuffle_ops.random_index_shuffle(
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index, seed=seed, max_index=max_index, rounds=4)
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@tf_export("random.experimental.stateless_shuffle")
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@dispatch.add_dispatch_support
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def stateless_shuffle(value, seed, alg="auto_select", name=None):
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"""Randomly and deterministically shuffles a tensor along its first dimension.
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The tensor is shuffled along dimension 0, such that each `value[j]` is mapped
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to one and only one `output[i]`. For example, a mapping that might occur for a
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3x2 tensor is:
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```python
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[[1, 2], [[5, 6],
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[3, 4], ==> [1, 2],
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[5, 6]] [3, 4]]
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```
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>>> v = tf.constant([[1, 2], [3, 4], [5, 6]])
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>>> shuffled = tf.random.experimental.stateless_shuffle(v, seed=[8, 9])
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>>> print(shuffled)
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tf.Tensor(
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[[5 6]
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[1 2]
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[3 4]], shape=(3, 2), dtype=int32)
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This is a stateless version of `tf.random.shuffle`: if run twice with the
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same `value` and `seed`, it will produce the same result. The
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output is consistent across multiple runs on the same hardware (and between
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CPU and GPU), but may change between versions of TensorFlow or on non-CPU/GPU
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hardware.
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Args:
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value: A Tensor to be shuffled.
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seed: A shape [2] Tensor. The seed to the random number generator. Must have
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dtype `int32` or `int64`.
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alg: The RNG algorithm used to generate the random numbers. See
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`tf.random.stateless_uniform` for a detailed explanation.
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name: A name for the operation.
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Returns:
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A tensor of same shape and type as `value`, shuffled along its first
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dimension.
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"""
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with ops.name_scope(name, "stateless_shuffle", [value, seed]) as name:
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key, counter, alg = _get_key_counter_alg(seed, alg)
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return gen_stateless_random_ops_v2.stateless_shuffle(
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value, key=key, counter=counter, alg=alg)
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@tf_export("random.stateless_uniform")
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@dispatch.add_dispatch_support
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def stateless_random_uniform(shape,
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seed,
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minval=0,
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maxval=None,
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dtype=dtypes.float32,
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name=None,
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alg="auto_select"):
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"""Outputs deterministic pseudorandom values from a uniform distribution.
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This is a stateless version of `tf.random.uniform`: if run twice with the
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same seeds and shapes, it will produce the same pseudorandom numbers. The
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output is consistent across multiple runs on the same hardware (and between
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CPU and GPU), but may change between versions of TensorFlow or on non-CPU/GPU
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hardware.
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The generated values follow a uniform distribution in the range
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`[minval, maxval)`. The lower bound `minval` is included in the range, while
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the upper bound `maxval` is excluded.
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For floats, the default range is `[0, 1)`. For ints, at least `maxval` must
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be specified explicitly.
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In the integer case, the random integers are slightly biased unless
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`maxval - minval` is an exact power of two. The bias is small for values of
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`maxval - minval` significantly smaller than the range of the output (either
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`2**32` or `2**64`).
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For full-range (i.e. inclusive of both max and min) random integers, pass
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`minval=None` and `maxval=None` with an integer `dtype`. For an integer dtype
|
|
either both `minval` and `maxval` must be `None` or neither may be `None`. For
|
|
example:
|
|
```python
|
|
ints = tf.random.stateless_uniform(
|
|
[10], seed=(2, 3), minval=None, maxval=None, dtype=tf.int32)
|
|
```
|
|
|
|
Args:
|
|
shape: A 1-D integer Tensor or Python array. The shape of the output tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
minval: A Tensor or Python value of type `dtype`, broadcastable with
|
|
`shape` (for integer types, broadcasting is not supported, so it needs to
|
|
be a scalar). The lower bound on the range of random values to
|
|
generate. Pass `None` for full-range integers. Defaults to 0.
|
|
maxval: A Tensor or Python value of type `dtype`, broadcastable with
|
|
`shape` (for integer types, broadcasting is not supported, so it needs to
|
|
be a scalar). The upper bound on the range of random values to generate.
|
|
Defaults to 1 if `dtype` is floating point. Pass `None` for full-range
|
|
integers.
|
|
dtype: The type of the output: `float16`, `bfloat16`, `float32`, `float64`,
|
|
`int32`, or `int64`. For unbounded uniform ints (`minval`, `maxval` both
|
|
`None`), `uint32` and `uint64` may be used. Defaults to `float32`.
|
|
name: A name for the operation (optional).
|
|
alg: The RNG algorithm used to generate the random numbers. Valid
|
|
choices are `"philox"` for [the Philox
|
|
algorithm](https://www.thesalmons.org/john/random123/papers/random123sc11.pdf),
|
|
`"threefry"` for [the ThreeFry
|
|
algorithm](https://www.thesalmons.org/john/random123/papers/random123sc11.pdf),
|
|
and `"auto_select"` (default) for the system to automatically
|
|
select an algorithm based the device type. Values of
|
|
`tf.random.Algorithm` can also be used. Note that with
|
|
`"auto_select"`, the outputs of this function may change when
|
|
it is running on a different device.
|
|
|
|
Returns:
|
|
A tensor of the specified shape filled with random uniform values.
|
|
|
|
Raises:
|
|
ValueError: If `dtype` is integral and only one of `minval` or `maxval` is
|
|
specified.
|
|
"""
|
|
dtype = dtypes.as_dtype(dtype)
|
|
accepted_dtypes = (dtypes.float16, dtypes.bfloat16, dtypes.float32,
|
|
dtypes.float64, dtypes.int32, dtypes.int64, dtypes.uint32,
|
|
dtypes.uint64)
|
|
if dtype not in accepted_dtypes:
|
|
raise ValueError(
|
|
f"Argument `dtype` got invalid value {dtype}. Accepted dtypes are "
|
|
f"{accepted_dtypes}.")
|
|
if dtype.is_integer:
|
|
if (minval is None) != (maxval is None):
|
|
raise ValueError(
|
|
f"For integer `dtype` argument {dtype}, argument `minval` and "
|
|
f"`maxval` must be both None or not None. Got `minval`={minval} and "
|
|
f"`maxval`={maxval}.")
|
|
if minval is not None and dtype in (dtypes.uint32, dtypes.uint64):
|
|
raise ValueError(
|
|
f"Argument `dtype` got invalid value {dtype} when argument `minval` "
|
|
f"is not None. Please don't use unsigned integers in this case.")
|
|
elif maxval is None:
|
|
maxval = 1
|
|
with ops.name_scope(name, "stateless_random_uniform",
|
|
[shape, seed, minval, maxval]) as name:
|
|
shape = tensor_util.shape_tensor(shape)
|
|
if dtype.is_integer and minval is None:
|
|
key, counter, alg = _get_key_counter_alg(seed, alg)
|
|
result = (
|
|
gen_stateless_random_ops_v2.stateless_random_uniform_full_int_v2(
|
|
shape, key=key, counter=counter, dtype=dtype, alg=alg, name=name))
|
|
else:
|
|
minval = ops.convert_to_tensor(minval, dtype=dtype, name="min")
|
|
maxval = ops.convert_to_tensor(maxval, dtype=dtype, name="max")
|
|
if dtype.is_integer:
|
|
key, counter, alg = _get_key_counter_alg(seed, alg)
|
|
result = gen_stateless_random_ops_v2.stateless_random_uniform_int_v2(
|
|
shape,
|
|
key=key,
|
|
counter=counter,
|
|
minval=minval,
|
|
maxval=maxval,
|
|
alg=alg,
|
|
name=name)
|
|
else:
|
|
key, counter, alg = _get_key_counter_alg(seed, alg)
|
|
rnd = gen_stateless_random_ops_v2.stateless_random_uniform_v2(
|
|
shape, key=key, counter=counter, dtype=dtype, alg=alg)
|
|
result = math_ops.add(rnd * (maxval - minval), minval, name=name)
|
|
tensor_util.maybe_set_static_shape(result, shape)
|
|
return result
|
|
|
|
|
|
@tf_export("random.stateless_binomial")
|
|
@dispatch.add_dispatch_support
|
|
def stateless_random_binomial(shape,
|
|
seed,
|
|
counts,
|
|
probs,
|
|
output_dtype=dtypes.int32,
|
|
name=None):
|
|
"""Outputs deterministic pseudorandom values from a binomial distribution.
|
|
|
|
The generated values follow a binomial distribution with specified count and
|
|
probability of success parameters.
|
|
|
|
This is a stateless version of `tf.random.Generator.binomial`: if run twice
|
|
with the same seeds and shapes, it will produce the same pseudorandom numbers.
|
|
The output is consistent across multiple runs on the same hardware (and
|
|
between CPU and GPU), but may change between versions of TensorFlow or on
|
|
non-CPU/GPU hardware.
|
|
|
|
Example:
|
|
|
|
```python
|
|
counts = [10., 20.]
|
|
# Probability of success.
|
|
probs = [0.8]
|
|
|
|
binomial_samples = tf.random.stateless_binomial(
|
|
shape=[2], seed=[123, 456], counts=counts, probs=probs)
|
|
|
|
counts = ... # Shape [3, 1, 2]
|
|
probs = ... # Shape [1, 4, 2]
|
|
shape = [3, 4, 3, 4, 2]
|
|
# Sample shape will be [3, 4, 3, 4, 2]
|
|
binomial_samples = tf.random.stateless_binomial(
|
|
shape=shape, seed=[123, 456], counts=counts, probs=probs)
|
|
```
|
|
|
|
Args:
|
|
shape: A 1-D integer Tensor or Python array. The shape of the output tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
counts: Tensor. The counts of the binomial distribution. Must be
|
|
broadcastable with `probs`, and broadcastable with the rightmost
|
|
dimensions of `shape`.
|
|
probs: Tensor. The probability of success for the binomial distribution.
|
|
Must be broadcastable with `counts` and broadcastable with the rightmost
|
|
dimensions of `shape`.
|
|
output_dtype: The type of the output. Default: tf.int32
|
|
name: A name for the operation (optional).
|
|
|
|
Returns:
|
|
samples: A Tensor of the specified shape filled with random binomial
|
|
values. For each i, each samples[..., i] is an independent draw from
|
|
the binomial distribution on counts[i] trials with probability of
|
|
success probs[i].
|
|
|
|
"""
|
|
with ops.name_scope(name, "stateless_random_binomial",
|
|
[shape, seed, counts, probs]) as name:
|
|
shape = tensor_util.shape_tensor(shape)
|
|
probs = ops.convert_to_tensor(
|
|
probs, dtype_hint=dtypes.float32, name="probs")
|
|
counts = ops.convert_to_tensor(
|
|
counts, dtype_hint=probs.dtype, name="counts")
|
|
result = gen_stateless_random_ops.stateless_random_binomial(
|
|
shape=shape, seed=seed, counts=counts, probs=probs, dtype=output_dtype)
|
|
tensor_util.maybe_set_static_shape(result, shape)
|
|
return result
|
|
|
|
|
|
@tf_export("random.stateless_gamma")
|
|
@dispatch.add_dispatch_support
|
|
def stateless_random_gamma(shape,
|
|
seed,
|
|
alpha,
|
|
beta=None,
|
|
dtype=dtypes.float32,
|
|
name=None):
|
|
"""Outputs deterministic pseudorandom values from a gamma distribution.
|
|
|
|
The generated values follow a gamma distribution with specified concentration
|
|
(`alpha`) and inverse scale (`beta`) parameters.
|
|
|
|
This is a stateless version of `tf.random.gamma`: if run twice with the same
|
|
seeds and shapes, it will produce the same pseudorandom numbers. The output is
|
|
consistent across multiple runs on the same hardware (and between CPU and
|
|
GPU),
|
|
but may change between versions of TensorFlow or on non-CPU/GPU hardware.
|
|
|
|
A slight difference exists in the interpretation of the `shape` parameter
|
|
between `stateless_gamma` and `gamma`: in `gamma`, the `shape` is always
|
|
prepended to the shape of the broadcast of `alpha` with `beta`; whereas in
|
|
`stateless_gamma` the `shape` parameter must always encompass the shapes of
|
|
each of `alpha` and `beta` (which must broadcast together to match the
|
|
trailing dimensions of `shape`).
|
|
|
|
Note: Because internal calculations are done using `float64` and casting has
|
|
`floor` semantics, we must manually map zero outcomes to the smallest
|
|
possible positive floating-point value, i.e., `np.finfo(dtype).tiny`. This
|
|
means that `np.finfo(dtype).tiny` occurs more frequently than it otherwise
|
|
should. This bias can only happen for small values of `alpha`, i.e.,
|
|
`alpha << 1` or large values of `beta`, i.e., `beta >> 1`.
|
|
|
|
The samples are differentiable w.r.t. alpha and beta.
|
|
The derivatives are computed using the approach described in
|
|
(Figurnov et al., 2018).
|
|
|
|
Example:
|
|
|
|
```python
|
|
samples = tf.random.stateless_gamma([10, 2], seed=[12, 34], alpha=[0.5, 1.5])
|
|
# samples has shape [10, 2], where each slice [:, 0] and [:, 1] represents
|
|
# the samples drawn from each distribution
|
|
|
|
samples = tf.random.stateless_gamma([7, 5, 2], seed=[12, 34], alpha=[.5, 1.5])
|
|
# samples has shape [7, 5, 2], where each slice [:, :, 0] and [:, :, 1]
|
|
# represents the 7x5 samples drawn from each of the two distributions
|
|
|
|
alpha = tf.constant([[1.], [3.], [5.]])
|
|
beta = tf.constant([[3., 4.]])
|
|
samples = tf.random.stateless_gamma(
|
|
[30, 3, 2], seed=[12, 34], alpha=alpha, beta=beta)
|
|
# samples has shape [30, 3, 2], with 30 samples each of 3x2 distributions.
|
|
|
|
with tf.GradientTape() as tape:
|
|
tape.watch([alpha, beta])
|
|
loss = tf.reduce_mean(tf.square(tf.random.stateless_gamma(
|
|
[30, 3, 2], seed=[12, 34], alpha=alpha, beta=beta)))
|
|
dloss_dalpha, dloss_dbeta = tape.gradient(loss, [alpha, beta])
|
|
# unbiased stochastic derivatives of the loss function
|
|
alpha.shape == dloss_dalpha.shape # True
|
|
beta.shape == dloss_dbeta.shape # True
|
|
```
|
|
|
|
Args:
|
|
shape: A 1-D integer Tensor or Python array. The shape of the output tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
alpha: Tensor. The concentration parameter of the gamma distribution. Must
|
|
be broadcastable with `beta`, and broadcastable with the rightmost
|
|
dimensions of `shape`.
|
|
beta: Tensor. The inverse scale parameter of the gamma distribution. Must be
|
|
broadcastable with `alpha` and broadcastable with the rightmost dimensions
|
|
of `shape`.
|
|
dtype: Floating point dtype of `alpha`, `beta`, and the output.
|
|
name: A name for the operation (optional).
|
|
|
|
Returns:
|
|
samples: A Tensor of the specified shape filled with random gamma values.
|
|
For each i, each `samples[..., i] is an independent draw from the gamma
|
|
distribution with concentration alpha[i] and scale beta[i].
|
|
|
|
"""
|
|
with ops.name_scope(name, "stateless_random_gamma",
|
|
[shape, seed, alpha, beta]) as name:
|
|
shape = tensor_util.shape_tensor(shape)
|
|
alpha = ops.convert_to_tensor(alpha, dtype=dtype, name="alpha")
|
|
beta = ops.convert_to_tensor(
|
|
beta if beta is not None else 1, name="beta", dtype=dtype)
|
|
broadcast_shape = array_ops.broadcast_dynamic_shape(
|
|
array_ops.shape(alpha), array_ops.shape(beta))
|
|
alpha_broadcast = array_ops.broadcast_to(alpha, broadcast_shape)
|
|
alg = "auto_select"
|
|
key, counter, alg = _get_key_counter_alg(seed, alg)
|
|
rnd = gen_stateless_random_ops_v2.stateless_random_gamma_v3(
|
|
shape, key=key, counter=counter, alg=alg, alpha=alpha_broadcast)
|
|
result = math_ops.maximum(
|
|
np.finfo(alpha.dtype.as_numpy_dtype).tiny, rnd / beta)
|
|
tensor_util.maybe_set_static_shape(result, shape)
|
|
return result
|
|
|
|
|
|
@tf_export("random.stateless_poisson")
|
|
@dispatch.add_dispatch_support
|
|
def stateless_random_poisson(shape,
|
|
seed,
|
|
lam,
|
|
dtype=dtypes.int32,
|
|
name=None):
|
|
"""Outputs deterministic pseudorandom values from a Poisson distribution.
|
|
|
|
The generated values follow a Poisson distribution with specified rate
|
|
parameter.
|
|
|
|
This is a stateless version of `tf.random.poisson`: if run twice with the same
|
|
seeds and shapes, it will produce the same pseudorandom numbers. The output is
|
|
consistent across multiple runs on the same hardware, but may change between
|
|
versions of TensorFlow or on non-CPU/GPU hardware.
|
|
|
|
A slight difference exists in the interpretation of the `shape` parameter
|
|
between `stateless_poisson` and `poisson`: in `poisson`, the `shape` is always
|
|
prepended to the shape of `lam`; whereas in `stateless_poisson` the shape of
|
|
`lam` must match the trailing dimensions of `shape`.
|
|
|
|
Example:
|
|
|
|
```python
|
|
samples = tf.random.stateless_poisson([10, 2], seed=[12, 34], lam=[5, 15])
|
|
# samples has shape [10, 2], where each slice [:, 0] and [:, 1] represents
|
|
# the samples drawn from each distribution
|
|
|
|
samples = tf.random.stateless_poisson([7, 5, 2], seed=[12, 34], lam=[5, 15])
|
|
# samples has shape [7, 5, 2], where each slice [:, :, 0] and [:, :, 1]
|
|
# represents the 7x5 samples drawn from each of the two distributions
|
|
|
|
rate = tf.constant([[1.], [3.], [5.]])
|
|
samples = tf.random.stateless_poisson([30, 3, 1], seed=[12, 34], lam=rate)
|
|
# samples has shape [30, 3, 1], with 30 samples each of 3x1 distributions.
|
|
```
|
|
|
|
Args:
|
|
shape: A 1-D integer Tensor or Python array. The shape of the output tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
lam: Tensor. The rate parameter "lambda" of the Poisson distribution. Shape
|
|
must match the rightmost dimensions of `shape`.
|
|
dtype: Dtype of the samples (int or float dtypes are permissible, as samples
|
|
are discrete). Default: int32.
|
|
name: A name for the operation (optional).
|
|
|
|
Returns:
|
|
samples: A Tensor of the specified shape filled with random Poisson values.
|
|
For each i, each `samples[..., i]` is an independent draw from the Poisson
|
|
distribution with rate `lam[i]`.
|
|
|
|
"""
|
|
with ops.name_scope(name, "stateless_random_poisson",
|
|
[shape, seed, lam]) as name:
|
|
shape = tensor_util.shape_tensor(shape)
|
|
result = gen_stateless_random_ops.stateless_random_poisson(
|
|
shape, seed=seed, lam=lam, dtype=dtype)
|
|
tensor_util.maybe_set_static_shape(result, shape)
|
|
return result
|
|
|
|
|
|
@tf_export("random.stateless_normal")
|
|
@dispatch.add_dispatch_support
|
|
def stateless_random_normal(shape,
|
|
seed,
|
|
mean=0.0,
|
|
stddev=1.0,
|
|
dtype=dtypes.float32,
|
|
name=None,
|
|
alg="auto_select"):
|
|
"""Outputs deterministic pseudorandom values from a normal distribution.
|
|
|
|
This is a stateless version of `tf.random.normal`: if run twice with the
|
|
same seeds and shapes, it will produce the same pseudorandom numbers. The
|
|
output is consistent across multiple runs on the same hardware (and between
|
|
CPU and GPU), but may change between versions of TensorFlow or on non-CPU/GPU
|
|
hardware.
|
|
|
|
Args:
|
|
shape: A 1-D integer Tensor or Python array. The shape of the output tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
mean: A 0-D Tensor or Python value of type `dtype`. The mean of the normal
|
|
distribution.
|
|
stddev: A 0-D Tensor or Python value of type `dtype`. The standard deviation
|
|
of the normal distribution.
|
|
dtype: The float type of the output: `float16`, `bfloat16`, `float32`,
|
|
`float64`. Defaults to `float32`.
|
|
name: A name for the operation (optional).
|
|
alg: The RNG algorithm used to generate the random numbers. See
|
|
`tf.random.stateless_uniform` for a detailed explanation.
|
|
|
|
Returns:
|
|
A tensor of the specified shape filled with random normal values.
|
|
"""
|
|
with ops.name_scope(name, "stateless_random_normal",
|
|
[shape, seed, mean, stddev]) as name:
|
|
shape = tensor_util.shape_tensor(shape)
|
|
mean = ops.convert_to_tensor(mean, dtype=dtype, name="mean")
|
|
stddev = ops.convert_to_tensor(stddev, dtype=dtype, name="stddev")
|
|
key, counter, alg = _get_key_counter_alg(seed, alg)
|
|
rnd = gen_stateless_random_ops_v2.stateless_random_normal_v2(
|
|
shape, key=key, counter=counter, dtype=dtype, alg=alg)
|
|
result = math_ops.add(rnd * stddev, mean, name=name)
|
|
tensor_util.maybe_set_static_shape(result, shape)
|
|
return result
|
|
|
|
|
|
@tf_export("random.stateless_truncated_normal")
|
|
@dispatch.add_dispatch_support
|
|
def stateless_truncated_normal(shape,
|
|
seed,
|
|
mean=0.0,
|
|
stddev=1.0,
|
|
dtype=dtypes.float32,
|
|
name=None,
|
|
alg="auto_select"):
|
|
"""Outputs deterministic pseudorandom values, truncated normally distributed.
|
|
|
|
This is a stateless version of `tf.random.truncated_normal`: if run twice with
|
|
the same seeds and shapes, it will produce the same pseudorandom numbers. The
|
|
output is consistent across multiple runs on the same hardware (and between
|
|
CPU and GPU), but may change between versions of TensorFlow or on non-CPU/GPU
|
|
hardware.
|
|
|
|
The generated values follow a normal distribution with specified mean and
|
|
standard deviation, except that values whose magnitude is more than 2 standard
|
|
deviations from the mean are dropped and re-picked.
|
|
|
|
Args:
|
|
shape: A 1-D integer Tensor or Python array. The shape of the output tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
mean: A 0-D Tensor or Python value of type `dtype`. The mean of the
|
|
truncated normal distribution.
|
|
stddev: A 0-D Tensor or Python value of type `dtype`. The standard deviation
|
|
of the normal distribution, before truncation.
|
|
dtype: The type of the output.
|
|
name: A name for the operation (optional).
|
|
alg: The RNG algorithm used to generate the random numbers. See
|
|
`tf.random.stateless_uniform` for a detailed explanation.
|
|
|
|
Returns:
|
|
A tensor of the specified shape filled with random truncated normal values.
|
|
"""
|
|
with ops.name_scope(name, "stateless_truncated_normal",
|
|
[shape, seed, mean, stddev]) as name:
|
|
shape = tensor_util.shape_tensor(shape)
|
|
mean = ops.convert_to_tensor(mean, dtype=dtype, name="mean")
|
|
stddev = ops.convert_to_tensor(stddev, dtype=dtype, name="stddev")
|
|
key, counter, alg = _get_key_counter_alg(seed, alg)
|
|
rnd = gen_stateless_random_ops_v2.stateless_truncated_normal_v2(
|
|
shape, key=key, counter=counter, dtype=dtype, alg=alg)
|
|
result = math_ops.add(rnd * stddev, mean, name=name)
|
|
tensor_util.maybe_set_static_shape(result, shape)
|
|
return result
|
|
|
|
|
|
@tf_export(v1=["random.stateless_multinomial"])
|
|
@dispatch.add_dispatch_support
|
|
@deprecation.deprecated(
|
|
date=None, instructions="Use `tf.random.stateless_categorical` instead.")
|
|
def stateless_multinomial(logits,
|
|
num_samples,
|
|
seed,
|
|
output_dtype=dtypes.int64,
|
|
name=None):
|
|
"""Draws deterministic pseudorandom samples from a multinomial distribution.
|
|
|
|
This is a stateless version of `tf.random.categorical`: if run twice with the
|
|
same seeds and shapes, it will produce the same pseudorandom numbers. The
|
|
output is consistent across multiple runs on the same hardware (and between
|
|
CPU and GPU), but may change between versions of TensorFlow or on non-CPU/GPU
|
|
hardware.
|
|
|
|
Example:
|
|
|
|
```python
|
|
# samples has shape [1, 5], where each value is either 0 or 1 with equal
|
|
# probability.
|
|
samples = tf.random.stateless_categorical(
|
|
tf.math.log([[0.5, 0.5]]), 5, seed=[7, 17])
|
|
```
|
|
|
|
Args:
|
|
logits: 2-D Tensor with shape `[batch_size, num_classes]`. Each slice
|
|
`[i, :]` represents the unnormalized log-probabilities for all classes.
|
|
num_samples: 0-D. Number of independent samples to draw for each row slice.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
output_dtype: The integer type of the output: `int32` or `int64`. Defaults
|
|
to `int64`.
|
|
name: Optional name for the operation.
|
|
|
|
Returns:
|
|
The drawn samples of shape `[batch_size, num_samples]`.
|
|
"""
|
|
with ops.name_scope(name, "stateless_multinomial", [logits, seed]):
|
|
return stateless_multinomial_categorical_impl(logits, num_samples,
|
|
output_dtype, seed)
|
|
|
|
|
|
@tf_export("random.stateless_categorical")
|
|
@dispatch.add_dispatch_support
|
|
def stateless_categorical(logits,
|
|
num_samples,
|
|
seed,
|
|
dtype=dtypes.int64,
|
|
name=None):
|
|
"""Draws deterministic pseudorandom samples from a categorical distribution.
|
|
|
|
This is a stateless version of `tf.categorical`: if run twice with the
|
|
same seeds and shapes, it will produce the same pseudorandom numbers. The
|
|
output is consistent across multiple runs on the same hardware (and between
|
|
CPU and GPU), but may change between versions of TensorFlow or on non-CPU/GPU
|
|
hardware.
|
|
|
|
|
|
Example:
|
|
|
|
```python
|
|
# samples has shape [1, 5], where each value is either 0 or 1 with equal
|
|
# probability.
|
|
samples = tf.random.stateless_categorical(
|
|
tf.math.log([[0.5, 0.5]]), 5, seed=[7, 17])
|
|
```
|
|
|
|
Args:
|
|
logits: 2-D Tensor with shape `[batch_size, num_classes]`. Each slice
|
|
`[i, :]` represents the unnormalized log-probabilities for all classes.
|
|
num_samples: 0-D. Number of independent samples to draw for each row slice.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
dtype: The integer type of the output: `int32` or `int64`. Defaults to
|
|
`int64`.
|
|
name: Optional name for the operation.
|
|
|
|
Returns:
|
|
The drawn samples of shape `[batch_size, num_samples]`.
|
|
"""
|
|
with ops.name_scope(name, "stateless_categorical", [logits, seed]):
|
|
return stateless_multinomial_categorical_impl(logits, num_samples, dtype,
|
|
seed)
|
|
|
|
|
|
def stateless_multinomial_categorical_impl(logits, num_samples, dtype, seed):
|
|
"""Implementation for stateless multinomial/categorical ops (v1/v2)."""
|
|
logits = ops.convert_to_tensor(logits, name="logits")
|
|
dtype = dtypes.as_dtype(dtype) if dtype else dtypes.int64
|
|
accepted_dtypes = (dtypes.int32, dtypes.int64)
|
|
if dtype not in accepted_dtypes:
|
|
raise ValueError(
|
|
f"Argument `dtype` got invalid value {dtype}. Accepted dtypes are "
|
|
f"{accepted_dtypes}.")
|
|
return gen_stateless_random_ops.stateless_multinomial(
|
|
logits, num_samples, seed, output_dtype=dtype)
|
|
|
|
|
|
@dispatch.add_dispatch_support
|
|
@tf_export("random.stateless_parameterized_truncated_normal")
|
|
def stateless_parameterized_truncated_normal(shape,
|
|
seed,
|
|
means=0.0,
|
|
stddevs=1.0,
|
|
minvals=-2.0,
|
|
maxvals=2.0,
|
|
name=None):
|
|
"""Outputs random values from a truncated normal distribution.
|
|
|
|
The generated values follow a normal distribution with specified mean and
|
|
standard deviation, except that values whose magnitude is more than 2 standard
|
|
deviations from the mean are dropped and re-picked.
|
|
|
|
|
|
Examples:
|
|
|
|
Sample from a Truncated normal, with deferring shape parameters that
|
|
broadcast.
|
|
|
|
>>> means = 0.
|
|
>>> stddevs = tf.math.exp(tf.random.uniform(shape=[2, 3]))
|
|
>>> minvals = [-1., -2., -1000.]
|
|
>>> maxvals = [[10000.], [1.]]
|
|
>>> y = tf.random.stateless_parameterized_truncated_normal(
|
|
... shape=[10, 2, 3], seed=[7, 17],
|
|
... means=means, stddevs=stddevs, minvals=minvals, maxvals=maxvals)
|
|
>>> y.shape
|
|
TensorShape([10, 2, 3])
|
|
|
|
Args:
|
|
shape: A 1-D integer `Tensor` or Python array. The shape of the output
|
|
tensor.
|
|
seed: A shape [2] Tensor, the seed to the random number generator. Must have
|
|
dtype `int32` or `int64`. (When using XLA, only `int32` is allowed.)
|
|
means: A `Tensor` or Python value of type `dtype`. The mean of the truncated
|
|
normal distribution. This must broadcast with `stddevs`, `minvals` and
|
|
`maxvals`, and the broadcasted shape must be dominated by `shape`.
|
|
stddevs: A `Tensor` or Python value of type `dtype`. The standard deviation
|
|
of the truncated normal distribution. This must broadcast with `means`,
|
|
`minvals` and `maxvals`, and the broadcasted shape must be dominated by
|
|
`shape`.
|
|
minvals: A `Tensor` or Python value of type `dtype`. The minimum value of
|
|
the truncated normal distribution. This must broadcast with `means`,
|
|
`stddevs` and `maxvals`, and the broadcasted shape must be dominated by
|
|
`shape`.
|
|
maxvals: A `Tensor` or Python value of type `dtype`. The maximum value of
|
|
the truncated normal distribution. This must broadcast with `means`,
|
|
`stddevs` and `minvals`, and the broadcasted shape must be dominated by
|
|
`shape`.
|
|
name: A name for the operation (optional).
|
|
|
|
Returns:
|
|
A tensor of the specified shape filled with random truncated normal values.
|
|
"""
|
|
with ops.name_scope(name, "stateless_parameterized_truncated_normal",
|
|
[shape, means, stddevs, minvals, maxvals]) as name:
|
|
shape_tensor = tensor_util.shape_tensor(shape)
|
|
means_tensor = ops.convert_to_tensor(means, name="means")
|
|
stddevs_tensor = ops.convert_to_tensor(stddevs, name="stddevs")
|
|
minvals_tensor = ops.convert_to_tensor(minvals, name="minvals")
|
|
maxvals_tensor = ops.convert_to_tensor(maxvals, name="maxvals")
|
|
rnd = gen_stateless_random_ops.stateless_parameterized_truncated_normal(
|
|
shape_tensor, seed, means_tensor, stddevs_tensor, minvals_tensor,
|
|
maxvals_tensor)
|
|
tensor_util.maybe_set_static_shape(rnd, shape)
|
|
return rnd
|