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# derived from copyright 1999-2021 Alibaba Group Holding Ltd.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
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import numpy as np
from ... import opcodes as OperandDef
from ...serialization.serializables import AnyField
from ..utils import gen_random_seeds
from .core import TensorDistribution, TensorRandomOperandMixin, handle_array
class TensorRandBeta(TensorDistribution, TensorRandomOperandMixin):
_input_fields_ = ["a", "b"]
_op_type_ = OperandDef.RAND_BETA
_fields_ = "a", "b", "size"
a = AnyField("a")
b = AnyField("b")
_func_name = "beta"
def __call__(self, a, b, chunk_size=None):
return self.new_tensor([a, b], None, raw_chunk_size=chunk_size)
[docs]def beta(random_state, a, b, size=None, chunk_size=None, gpu=None, dtype=None):
r"""
Draw samples from a Beta distribution.
The Beta distribution is a special case of the Dirichlet distribution,
and is related to the Gamma distribution. It has the probability
distribution function
.. math:: f(x; a,b) = \frac{1}{B(\alpha, \beta)} x^{\alpha - 1}
(1 - x)^{\beta - 1},
where the normalisation, B, is the beta function,
.. math:: B(\alpha, \beta) = \int_0^1 t^{\alpha - 1}
(1 - t)^{\beta - 1} dt.
It is often seen in Bayesian inference and order statistics.
Parameters
----------
a : float or array_like of floats
Alpha, non-negative.
b : float or array_like of floats
Beta, non-negative.
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. If size is ``None`` (default),
a single value is returned if ``a`` and ``b`` are both scalars.
Otherwise, ``mt.broadcast(a, b).size`` samples are drawn.
chunk_size : int or tuple of int or tuple of ints, optional
Desired chunk size on each dimension
gpu : bool, optional
Allocate the tensor on GPU if True, False as default
dtype : data-type, optional
Data-type of the returned tensor.
Returns
-------
out : Tensor or scalar
Drawn samples from the parameterized beta distribution.
"""
if dtype is None:
dtype = (
np.random.RandomState()
.beta(handle_array(a), handle_array(b), size=(0,))
.dtype
)
size = random_state._handle_size(size)
seed = gen_random_seeds(1, random_state.to_numpy())[0]
op = TensorRandBeta(seed=seed, size=size, gpu=gpu, dtype=dtype)
return op(a, b, chunk_size=chunk_size)