# Licensed to the Apache Software Foundation (ASF) under one # or more contributor license agreements. See the NOTICE file # distributed with this work for additional information # regarding copyright ownership. The ASF licenses this file # to you 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. # pylint: disable=invalid-name, line-too-long, unused-variable, too-many-locals # ruff: noqa: E741 """LRN in python""" from itertools import product import numpy as np def lrn_python(a_np, size, axis, bias, alpha, beta): """Local response normalization operator in NCHW layout. Parameters ---------- a_np : numpy.ndarray 4-D with shape [batch, in_channel, in_height, in_width] size : int normalization window size axis : int input data layout channel axis bias : float offset to avoid dividing by 0. constant value alpha : float constant value beta : float exponent constant value Returns ------- lrn_out : np.ndarray 4-D with shape [batch, out_channel, out_height, out_width] """ radius = size // 2 sqr_sum = np.zeros(shape=a_np.shape).astype(a_np.dtype) for i, j, k, l in product(*[range(_axis) for _axis in a_np.shape]): axis_size = a_np.shape[axis] if axis == 1: # NCHW layout sum_start = j - radius if j - radius >= 0 else 0 sum_end = j + radius + 1 if j + radius + 1 < axis_size else axis_size sqr_sum[i, j, k, l] = sum( a_np[i, sum_start:sum_end, k, l] * a_np[i, sum_start:sum_end, k, l] ) elif axis == 3: # NHWC layout sum_start = l - radius if l - radius >= 0 else 0 sum_end = l + radius + 1 if l + radius + 1 < axis_size else axis_size sqr_sum[i, j, k, l] = sum( a_np[i, j, k, sum_start:sum_end] * a_np[i, j, k, sum_start:sum_end] ) sqr_sum_up = np.power((bias + (alpha * sqr_sum / size)), beta) lrn_out = np.divide(a_np, sqr_sum_up) return lrn_out