statistic_helper.py

# 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_indx = 0
        merged_ranges.append((src_ranges[cur_indx][0], src_ranges[cur_indx][1]))
        for cur_indx in range(1, len(src_ranges)):
            if src_ranges[cur_indx][1] > merged_ranges[-1][1]:
                if src_ranges[cur_indx][0] <= merged_ranges[-1][1]:
                    merged_ranges[-1] = (merged_ranges[-1][0],
                                         src_ranges[cur_indx][1])
                else:
                    merged_ranges.append(
                        (src_ranges[cur_indx][0], src_ranges[cur_indx][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:
        indx1 = 0
        indx2 = 0
        range1 = range_list1[indx1]
        range2 = range_list2[indx2]
        if range1[0] < range2[0]:
            merged_ranges.append(range1)
            indx1 += 1
        else:
            merged_ranges.append(range2)
            indx2 += 1
        while indx1 < len1 and indx2 < len2:
            range1 = range_list1[indx1]
            range2 = range_list2[indx2]
            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]))
                    indx1 += 1
                else:
                    indx1 += 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]))
                    indx2 += 1
                else:
                    indx2 += 1

        while indx1 < len1:
            range1 = range_list1[indx1]
            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]))
                indx1 += 1
            else:
                indx1 += 1
        while indx2 < len2:
            range2 = range_list2[indx2]
            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]))
                indx2 += 1
            else:
                indx2 += 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)
    indx1 = 0
    indx2 = 0
    range1 = range_list1[indx1]
    range2 = range_list2[indx2]
    while indx1 < len1 and indx2 < len2:
        if range2[1] <= range1[0]:
            indx2 += 1
            if indx2 == len2:
                break
            range2 = range_list2[indx2]

        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])
            indx2 += 1
            if indx2 == len2:
                break
            range2 = range_list2[indx2]

        elif range2[0] <= range1[0]:
            assert (range2[1] >= range1[1])
            result_range.append(range1)
            range2 = (range1[1], range2[1])
            indx1 += 1
            if indx1 == len1:
                break
            range1 = range_list1[indx1]

        elif range2[1] < range1[1]:
            assert (range2[0] > range1[0])
            result_range.append(range2)
            range1 = (range2[1], range1[1])
            indx2 += 1
            if indx2 == len2:
                break
            range2 = range_list2[indx2]

        elif range2[0] < range1[1]:
            assert (range2[1] >= range1[1])
            result_range.append((range2[0], range1[1]))
            range2 = (range1[1], range2[1])
            indx1 += 1
            if indx1 == len1:
                break
            range1 = range_list1[indx1]

        else:
            assert (range2[0] >= range1[1])
            indx1 += 1
            if indx1 == len1:
                break
            range1 = range_list1[indx1]
    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)
    indx1 = 0
    indx2 = 0
    range1 = range_list1[indx1]
    range2 = range_list2[indx2]

    while indx1 < len(range_list1):
        if indx2 == len(range_list2):
            result_range.append(range1)
            indx1 += 1
            if indx1 == len1:
                break
            range1 = range_list1[indx1]
        elif range2[1] <= range1[0]:
            indx2 += 1
            if indx2 != len2:
                range2 = range_list2[indx2]
        elif range2[0] <= range1[0] and range2[1] < range1[1]:
            range1 = (range2[1], range1[1])
            indx2 += 1
            if indx2 != len2:
                range2 = range_list2[indx2]
        elif range2[0] <= range1[0]:
            assert (range2[1] >= range1[1])
            range2 = (range1[1], range2[1])
            indx1 += 1
            if indx1 != len1:
                range1 = range_list1[indx1]
        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)
            indx1 += 1
            if indx1 != len1:
                range1 = range_list1[indx1]
    return result_range