#!/usr/bin/env python # -*- coding: utf-8 -*- # Copyright 1999-2020 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 # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. import numpy as np from ... import opcodes as OperandDef from ...serialize import AnyField from .core import TensorRandomOperandMixin, handle_array, TensorDistribution class TensorGeometric(TensorDistribution, TensorRandomOperandMixin): __slots__ = '_p', '_size' _input_fields_ = ['_p'] _op_type_ = OperandDef.RAND_GEOMETRIC _p = AnyField('p') _func_name = 'geometric' @property def p(self): return self._p def __init__(self, state=None, size=None, dtype=None, gpu=None, **kw): dtype = np.dtype(dtype) if dtype is not None else dtype super().__init__(_state=state, _size=size, _dtype=dtype, _gpu=gpu, **kw) def __call__(self, p, chunk_size=None): return self.new_tensor([p], None, raw_chunk_size=chunk_size) [docs]def geometric(random_state, p, size=None, chunk_size=None, gpu=None, dtype=None): """ Draw samples from the geometric distribution. Bernoulli trials are experiments with one of two outcomes: success or failure (an example of such an experiment is flipping a coin). The geometric distribution models the number of trials that must be run in order to achieve success. It is therefore supported on the positive integers, ``k = 1, 2, ...``. The probability mass function of the geometric distribution is .. math:: f(k) = (1 - p)^{k - 1} p where `p` is the probability of success of an individual trial. Parameters ---------- p : float or array_like of floats The probability of success of an individual trial. 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 ``p`` is a scalar. Otherwise, ``mt.array(p).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 geometric distribution. Examples -------- Draw ten thousand values from the geometric distribution, with the probability of an individual success equal to 0.35: >>> import mars.tensor as mt >>> z = mt.random.geometric(p=0.35, size=10000) How many trials succeeded after a single run? >>> ((z == 1).sum() / 10000.).execute() 0.34889999999999999 #random """ if dtype is None: dtype = np.random.RandomState().geometric( handle_array(p), size=(0,)).dtype size = random_state._handle_size(size) op = TensorGeometric(state=random_state.to_numpy(), size=size, gpu=gpu, dtype=dtype) return op(p, chunk_size=chunk_size)