Algorithm to detect overlapping periods [duplicate]

Answer 1

--logic FOR OVERLAPPING DATES
DECLARE @StartDate datetime  --Reference start date
DECLARE @EndDate datetime    --Reference end date
DECLARE @NewStartDate datetime --New Start date
DECLARE @NewEndDate datetime   --New End Date

Select 
(Case 
    when @StartDate is null 
        then @NewStartDate
    when (@StartDate<@NewStartDate and  @EndDate < @NewStartDate)
        then @NewStartDate
    when (@StartDate<@NewStartDate and  @EndDate > @NewEndDate)
        then @NewStartDate
    when (@StartDate<@NewStartDate and  @EndDate > @NewStartDate)
        then @NewStartDate  
    when (@StartDate>@NewStartDate and  @NewEndDate < @StartDate)
        then @NewStartDate
    else @StartDate end) as StartDate,  

(Case 
    when @EndDate is null   
        then @NewEndDate
    when (@EndDate>@NewEndDate and @Startdate < @NewEndDate)
        then @NewEndDate
    when (@EndDate>@NewEndDate and @Startdate > @NewEndDate)
        then @NewEndDate
    when (@EndDate<@NewEndDate and @NewStartDate > @EndDate)
        then @NewEndDate
    else @EndDate end) as EndDate

Distrubution logic