I have a data.table with ID, dates and values like the following one:
DT <- setDT(data.frame(ContractID= c(1,1,1,2,2), Date = c("2018-02-01", "2018-02-20", "2018-03-12", "2018-02-01", "2018-02-12"), Value = c(10,20,30,10,20)))
   ContractID       Date Value
1:          1 2018-02-01    10
2:          1 2018-02-20    20
3:          1 2018-03-12    30
4:          2 2018-02-01    10
5:          2 2018-02-12    20
I'd like to get a new column with the total cumulative sum per ID from a month ago until the current day for each row, like in the table below. NB: the third row is the sum of the second and the own third, because 2018-03-12 minus 1 month is greater than 2018-02-01, so we exclude the first row in the cum sum.
   ContractID       Date Value Cum_Sum_1M
1:          1 2018-02-01    10         10
2:          1 2018-02-20    20         30
3:          1 2018-03-12    30         50
4:          2 2018-02-01    10         10
5:          2 2018-02-12    20         30
Is there any way to achieve this using data.table?
Thank you!