如何根据两个时间范围列表的交集创建时间范围列表？

Posted 2023-04-11

【中文标题】如何根据两个时间范围列表的交集创建时间范围列表？

【英文标题】：How to create a list of time ranges based on intersections from two lists of time ranges?

【发布时间】：2013-10-07 02:06:52

【问题描述】：

我有一个需要 c# 解决方案的问题，这个问题对于一个简单的解决方案来说太复杂了。

我有两个时间范围列表以及每个范围的值：ListA;清单 B。他们之间没有任何关系。

我想基于 ListB 创建第三个列表 (ListC)，其中对于 ListB 中的每个开始和结束对，如果该范围在 ListA 的任何时间范围内都不作为一个整体存在，则在其中创建两个或多个条目ListC 以便新条目被 ListA 中的条目覆盖。 （抱歉，如果不太冗长，很难解释）

一个包含一种重叠的简单示例。两个列表之间可能存在各种重叠。

List<Tuple<int, DateTime, DateTime>> listA = new List<Tuple<int, DateTime, DateTime>>();          
listA.Add(new Tuple<int, DateTime, DateTime>(22,DateTime.Parse("09/01/2013 11:00"),DateTime.Parse("09/01/2013 12:00")));
listA.Add(new Tuple<int, DateTime, DateTime>(66, DateTime.Parse("09/01/2013 12:01"), DateTime.Parse("09/01/2013 14:00")));


List<Tuple<int, DateTime, DateTime>> listB = new List<Tuple<int, DateTime, DateTime>>();
listB.Add(new Tuple<int, DateTime, DateTime>(33, DateTime.Parse("09/01/2013 11:30"), DateTime.Parse("09/01/2013 13:30")));

//Desired List
List<Tuple<int, DateTime, DateTime>> listC = new List<Tuple<int, DateTime, DateTime>>();
//listC should contain 2 tuples: first tuple contains the segment from ListB which falls in the first ListA tuple: Tuple(33, "09/01/2013 11:30","09/01/2013 12:00")
//second tuple contains the segment which falls in second ListA tuple: Tuple(33, "09/01/2013 12:01","09/01/2013 13:30")

【参考方案1】：

这是我的尝试。解决方案非常简单，也许我误解了任务。 如果您需要在 cmets 中指定的行中使用 = 而不是 ，您可能需要考虑：

        List<Tuple<int, DateTime, DateTime>> listA = new List<Tuple<int, DateTime, DateTime>>();
        listA.Add(new Tuple<int, DateTime, DateTime>(22, DateTime.Parse("09/01/2013 11:00"), DateTime.Parse("09/01/2013 12:00")));
        listA.Add(new Tuple<int, DateTime, DateTime>(66, DateTime.Parse("09/01/2013 12:01"), DateTime.Parse("09/01/2013 14:00")));


        List<Tuple<int, DateTime, DateTime>> listB = new List<Tuple<int, DateTime, DateTime>>();
        listB.Add(new Tuple<int, DateTime, DateTime>(33, DateTime.Parse("09/01/2013 11:30"), DateTime.Parse("09/01/2013 13:30")));

        List<Tuple<int, DateTime, DateTime>> listC = new List<Tuple<int, DateTime, DateTime>>();

        foreach (var rangeB in listB)
        
            //a range in A overlaps with a range B 
            //if any end of the range in A is inside the range in B
            //consider using <= and/or >= in these two lines if needed
            var overlapping = listA.Where(rangeA => rangeB.Item2 < rangeA.Item2 && rangeA.Item2 < rangeB.Item3 ||
                rangeB.Item2 < rangeA.Item3 && rangeA.Item3 < rangeB.Item3).ToList();

            overlapping = overlapping.Select(rangeA => 
                new Tuple<int, DateTime, DateTime> (rangeB.Item1, 
                    //If a date of A is outside of B
                    //this will make it equal to the corresponding date of B
                    (rangeA.Item2 < rangeB.Item2) ? rangeB.Item2 : rangeA.Item2,
                    (rangeB.Item3 < rangeA.Item3) ? rangeB.Item3 : rangeA.Item3)).ToList();

            listC.AddRange(overlapping);
        

【参考方案2】：

如果您按照这些思路使用一个类来保存您的数据，将会对您有很大帮助。

public class Range 

    public int Id get; set:
    public DateTime Start get; set:
    public DateTime End get; set:

这将使您更容易将列表 B 中的每个值与列表 A 中的每个 Start 和 End 值进行比较，以查看是否有任何重叠（其中只有 4 种可能的类型）

Type 1: B.Start < A.Start && B.End > A.End      (where B totally contains A)
Type 2: B.Start >= A.Start && B.End <= A.End    (where A totally contains B)
Type 3: B.Start >= A.Start && B.Start <= A.End  (where B overlaps to the right)
Type 4: B.End >= A.Start && B.End <= A.End      (where B overlaps to the left)

伪代码类似于

Loop through all entries in List B

    Loop through all entries in A looking for overlaps
    
        If there is an overlap
        
            Create a new range from the
            appropriate Start and End values 
            from A or B as required.

            Use the ID from B 

            Add new Range(s) as required
        
    

【参考方案3】：

您可以使用Time Period Library for .NET 来计算交叉点：

// ----------------------------------------------------------------------
public void PeriodIntersection()

  // time periods
  ITimePeriodCollection periods = new TimePeriodCollection();
  periods.Add( new TimeRange( new DateTime( 2013, 9, 1, 11, 0, 0 ), new DateTime( 2013, 9, 1, 12, 0, 0 ) ) );
  periods.Add( new TimeRange( new DateTime( 2013, 9, 1, 12, 1, 0 ), new DateTime( 2013, 9, 1, 14, 0, 0 ) ) );

  // search range
  TimeRange searchRange = new TimeRange( new DateTime( 2013, 9, 1, 11, 30, 0 ), new DateTime( 2013, 9, 1, 13, 30, 0 ) );

  // intersections
  foreach ( TimeRange period in periods )
  
    if ( period.IntersectsWith( searchRange ) )
    
      Console.WriteLine( "Intersection: " + period.GetIntersection( searchRange ) );
    
  
  // > Intersection: 01.09.2013 11.30:00 - 12:00:00 | 0.00:30
  // > Intersection: 01.09.2013 12.01:00 - 13:30:00 | 0.01:29
 // PeriodIntersection