# 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. def sum_ranges(ranges): result = 0 for time_range in ranges: result += time_range[1] - time_range[0] return result def merge_self_ranges(src_ranges, is_sorted=False): merged_ranges = [] if len(src_ranges) > 0: if not is_sorted: src_ranges.sort(key=lambda x: x[0]) cur_index = 0 merged_ranges.append( (src_ranges[cur_index][0], src_ranges[cur_index][1]) ) for cur_index in range(1, len(src_ranges)): if src_ranges[cur_index][1] > merged_ranges[-1][1]: if src_ranges[cur_index][0] <= merged_ranges[-1][1]: merged_ranges[-1] = ( merged_ranges[-1][0], src_ranges[cur_index][1], ) else: merged_ranges.append( (src_ranges[cur_index][0], src_ranges[cur_index][1]) ) return merged_ranges def merge_ranges(range_list1, range_list2, is_sorted=False): merged_ranges = [] if not is_sorted: range_list1 = merge_self_ranges(range_list1) range_list2 = merge_self_ranges(range_list2) len1 = len(range_list1) len2 = len(range_list2) if len1 == 0 and len2 == 0: return merged_ranges elif len1 == 0: return range_list2 elif len2 == 0: return range_list1 else: index1 = 0 index2 = 0 range1 = range_list1[index1] range2 = range_list2[index2] if range1[0] < range2[0]: merged_ranges.append(range1) index1 += 1 else: merged_ranges.append(range2) index2 += 1 while index1 < len1 and index2 < len2: range1 = range_list1[index1] range2 = range_list2[index2] if range1[0] < range2[0]: if range1[1] > merged_ranges[-1][1]: if range1[0] <= merged_ranges[-1][1]: merged_ranges[-1] = (merged_ranges[-1][0], range1[1]) else: merged_ranges.append((range1[0], range1[1])) index1 += 1 else: index1 += 1 else: if range2[1] > merged_ranges[-1][1]: if range2[0] <= merged_ranges[-1][1]: merged_ranges[-1] = (merged_ranges[-1][0], range2[1]) else: merged_ranges.append((range2[0], range2[1])) index2 += 1 else: index2 += 1 while index1 < len1: range1 = range_list1[index1] if range1[1] > merged_ranges[-1][1]: if range1[0] <= merged_ranges[-1][1]: merged_ranges[-1] = (merged_ranges[-1][0], range1[1]) else: merged_ranges.append((range1[0], range1[1])) index1 += 1 else: index1 += 1 while index2 < len2: range2 = range_list2[index2] if range2[1] > merged_ranges[-1][1]: if range2[0] <= merged_ranges[-1][1]: merged_ranges[-1] = (merged_ranges[-1][0], range2[1]) else: merged_ranges.append((range2[0], range2[1])) index2 += 1 else: index2 += 1 return merged_ranges def intersection_ranges(range_list1, range_list2, is_sorted=False): result_range = [] if len(range_list1) == 0 or len(range_list2) == 0: return result_range if not is_sorted: range_list1 = merge_self_ranges(range_list1) range_list2 = merge_self_ranges(range_list2) len1 = len(range_list1) len2 = len(range_list2) index1 = 0 index2 = 0 range1 = range_list1[index1] range2 = range_list2[index2] while index1 < len1 and index2 < len2: if range2[1] <= range1[0]: index2 += 1 if index2 == len2: break range2 = range_list2[index2] elif range2[0] <= range1[0] and range2[1] < range1[1]: assert range2[1] > range1[0] result_range.append((range1[0], range2[1])) range1 = (range2[1], range1[1]) index2 += 1 if index2 == len2: break range2 = range_list2[index2] elif range2[0] <= range1[0]: assert range2[1] >= range1[1] result_range.append(range1) range2 = (range1[1], range2[1]) index1 += 1 if index1 == len1: break range1 = range_list1[index1] elif range2[1] < range1[1]: assert range2[0] > range1[0] result_range.append(range2) range1 = (range2[1], range1[1]) index2 += 1 if index2 == len2: break range2 = range_list2[index2] elif range2[0] < range1[1]: assert range2[1] >= range1[1] result_range.append((range2[0], range1[1])) range2 = (range1[1], range2[1]) index1 += 1 if index1 == len1: break range1 = range_list1[index1] else: assert range2[0] >= range1[1] index1 += 1 if index1 == len1: break range1 = range_list1[index1] return result_range def subtract_ranges(range_list1, range_list2, is_sorted=False): result_range = [] if not is_sorted: range_list1 = merge_self_ranges(range_list1) range_list2 = merge_self_ranges(range_list2) if len(range_list1) == 0: return result_range if len(range_list2) == 0: return range_list1 len1 = len(range_list1) len2 = len(range_list2) index1 = 0 index2 = 0 range1 = range_list1[index1] range2 = range_list2[index2] while index1 < len(range_list1): if index2 == len(range_list2): result_range.append(range1) index1 += 1 if index1 == len1: break range1 = range_list1[index1] elif range2[1] <= range1[0]: index2 += 1 if index2 != len2: range2 = range_list2[index2] elif range2[0] <= range1[0] and range2[1] < range1[1]: range1 = (range2[1], range1[1]) index2 += 1 if index2 != len2: range2 = range_list2[index2] elif range2[0] <= range1[0]: assert range2[1] >= range1[1] range2 = (range1[1], range2[1]) index1 += 1 if index1 != len1: range1 = range_list1[index1] elif range2[0] < range1[1]: assert range2[0] > range1[0] result_range.append((range1[0], range2[0])) range1 = (range2[0], range1[1]) else: assert range2[0] >= range1[1] result_range.append(range1) index1 += 1 if index1 != len1: range1 = range_list1[index1] return result_range