MDX - how to aggregate by date, given the start and end dates in the dimension

Question

I need to calculate the grouping of measures by date in a date range, given the start and end dates in the dimension. The goal is to count the number of students in a particular school who are assets every day during the period.

The following SQL code runs in a data warehouse (cube source).

SELECT 
     t.[date]
    ,count(distinct a.SKStudent) as Students
FROM DM.DimTime t
    CROSS JOIN DM.FactStudents a 
    INNER JOIN DM.DimStudents m ON a.SKStudent = m.SKStudent
    INNER JOIN DM.DimSchool e ON a.SKSchool = e.SKSchool
WHERE t.[date] between '20170502' and '20170512'
    and e.SchoolCode = 123456
    and t.[date] between m.[StartDate] and m.[EndtDate]
GROUP BY t.[data]

The result set is as follows:

+--------------+----------+ 
| date         | Students |
+--------------+----------+ 
| 2017-05-02   |    567   |
| 2017-05-03   |    567   |
| 2017-05-04   |    568   |
| 2017-05-05   |    570   |
| 2017-05-06   |    570   |
| 2017-05-07   |    570   |
| 2017-05-08   |    573   |
| 2017-05-09   |    573   |
| 2017-05-10   |    571   |
| 2017-05-11   |    568   |
| 2017-05-12   |    568   |
+--------------+----------+ 

I am trying to make MDX code. The following is what I tried. I do not know how to filter the day using the logic in the CASE expression (between the "???" marks):

WITH SET DateRange AS 
    [Dim Time].[Date].&[20170502]:[Dim Time].[Date].&[20170512]
MEMBER StudentsByDay AS 
    AGGREGATE(DateRange, 
        ???CASE WHEN DateRange.CURRENTMEMBER 
                    BETWEEN [Dim Students].[Start Date] 
                        AND [Dim Students].[End Date] 
                THEN [Measures].[Students Count]
            ELSE NULL END???)
SELECT 
    NON EMPTY { [StudentsByDay] } ON COLUMNS,
    NON EMPTY { [DateRange] } ON ROWS
FROM [Education]
WHERE ( [Dim School].[School Code].&[123456] ) 

Answer 1

MDX , SQL. FactStudents:

t.[date] between m.[StartDate] and m.[EndtDate]

.

:

• DateID, StudentID (. );
• , Student Date dims;
• DistinctCount StudentID.

:

SELECT 
     t.[date] as DateID
    ,a.[SKStudent] as StudentID
FROM DM.DimTime t
    CROSS JOIN DM.FactStudents a 
    INNER JOIN DM.DimStudents m ON a.SKStudent = m.SKStudent
    INNER JOIN DM.DimSchool e ON a.SKSchool = e.SKSchool
WHERE e.SchoolCode = 123456
    and t.[date] between m.[StartDate] and m.[EndtDate]