# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved. # # 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 paddle from paddle import _C_ops from paddle.fluid.framework import in_dygraph_mode from ...fluid.data_feeder import check_type, check_variable_and_dtype from ...fluid.layer_helper import LayerHelper __all__ = [] def pairwise_distance(x, y, p=2.0, epsilon=1e-6, keepdim=False, name=None): r""" It computes the pairwise distance between two vectors. The distance is calculated by p-oreder norm: .. math:: \Vert x \Vert _p = \left( \sum_{i=1}^n \vert x_i \vert ^ p \right) ^ {1/p}. Parameters: x (Tensor): Tensor, shape is :math:`[N, D]` or :math:`[D]`, where :math:`N` is batch size, :math:`D` is the dimension of vector. Available dtype is float32, float64. y (Tensor): Tensor, shape is :math:`[N, D]` or :math:`[D]`, where :math:`N` is batch size, :math:`D` is the dimension of vector. Available dtype is float32, float64. p (float, optional): The order of norm. Default: :math:`2.0`. epsilon (float, optional): Add small value to avoid division by zero. Default: :math:`1e-6`. keepdim (bool, optional): Whether to reserve the reduced dimension in the output Tensor. The result tensor is one dimension less than the result of ``|x-y|`` unless :attr:`keepdim` is True. Default: False. name (str, optional): For details, please refer to :ref:`api_guide_Name`. Generally, no setting is required. Default: None. Returns: Tensor, the dtype is same as input tensor. - If :attr:`keepdim` is True, the output shape is :math:`[N, 1]` or :math:`[1]`, depending on whether the input has data shaped as :math:`[N, D]`. - If :attr:`keepdim` is False, the output shape is :math:`[N]` or :math:`[]`, depending on whether the input has data shaped as :math:`[N, D]`. Examples: .. code-block:: python import paddle x = paddle.to_tensor([[1., 3.], [3., 5.]], dtype=paddle.float64) y = paddle.to_tensor([[5., 6.], [7., 8.]], dtype=paddle.float64) distance = paddle.nn.functional.pairwise_distance(x, y) print(distance) # Tensor(shape=[2], dtype=float64, place=Place(gpu:0), stop_gradient=True, # [4.99999860, 4.99999860]) """ check_type(p, 'porder', (float, int), 'PairwiseDistance') check_type(epsilon, 'epsilon', (float), 'PairwiseDistance') check_type(keepdim, 'keepdim', (bool), 'PairwiseDistance') if in_dygraph_mode(): sub = _C_ops.subtract(x, y) # p_norm op has not uesd epsilon, so change it to the following. if epsilon != 0.0: epsilon = paddle.fluid.dygraph.base.to_variable( [epsilon], dtype=sub.dtype ) sub = _C_ops.add(sub, epsilon) return _C_ops.p_norm(sub, p, -1, 0.0, keepdim, False) else: check_variable_and_dtype( x, 'x', ['float32', 'float64'], 'PairwiseDistance' ) check_variable_and_dtype( y, 'y', ['float32', 'float64'], 'PairwiseDistance' ) sub = paddle.subtract(x, y) if epsilon != 0.0: epsilon_var = sub.block.create_var(dtype=sub.dtype) epsilon_var = paddle.full( shape=[1], fill_value=epsilon, dtype=sub.dtype ) sub = paddle.add(sub, epsilon_var) helper = LayerHelper("PairwiseDistance", name=name) attrs = { 'axis': -1, 'porder': p, 'keepdim': keepdim, 'epsilon': 0.0, } out = helper.create_variable_for_type_inference(dtype=x.dtype) helper.append_op( type='p_norm', inputs={'X': sub}, outputs={'Out': out}, attrs=attrs ) return out