Counting rows/incidences between date columns

[DateSurfer]

I have a table of the form: 

ID	Status	Start_Date	End_Date
0001	Registered	01/01/2024	02/01/2024
0001	In-Progress	02/01/2024	05/01/2024
0002	Registered	02/01/2024	04/01/2024
0001	Success	05/01/2024	20/01/2024
0002	In-Progress	05/01/2024	05/01/2024
0002	Failure	05/01/2024	20/01/2024

And so on.

I would like to plot count vs date, where for each date, we count the number IDs on that date split by status (Registered vs In-Progress vs Success vs Failure). The user would choose to filter when to start counting from (ex: only count IDs in the last 7 days, 6 months, one year) through a slicer on the side. Call this user_start_date.

Caveat: The formula for the first two (registered and in-progress) is different for the formulas for the last two (success and failure)

Registered_Count = COUNT(Status == "Registered" & start_date <= date < end_date)

but

Success_Count = COUNT(Status == "Registered" & user_start_date <= start_date <= date < end_date)

This is done so that - if the user only wishes to see IDs in the last 7 days, we do not view IDs that have already been successful (or failed) before the 7 days (on the other hand we still wish to see those that are still Registered/In-Progress). 

In-Progress_Count has the same formula as Registered_Count (but Status == Registered) and Failure_Count has the same formula as Success_Count (but Status == Failure). 

I think the first two should be easier (although I am new to DAX so still don't know how to implement it), but the latter two are based on user filtering. I think given the user's slicer selection, you would want to filter the table so that start_date >= user_start date first and then apply the formula. But I don't know how to do this. Help would be appreciated. 

I have set up an active relationship between an AUTOCALENDAR() table and the start_date, and an inactive relationship between the calendar and the end date. But not sure how to leverage this! 

[speedramps · Accepted solution]

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How it works  ...

Create relationships

Create dax measure ...

ValidCount = 
VAR mindate = MIN('Calendar'[Date])
VAR maxdate = MAX('Calendar'[Date])
VAR mysubset = FILTER(Facts,Facts[Start_Date] <= maxdate && Facts[End_Date] <= mindate)
RETURN
CALCULATE(
DISTINCTCOUNT(Facts[ID]),
mysubset
)

Create report ...

Thanks for the clear description of the problem with example data. I wish everyone did that!

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