Split daterange into sub periods

Hi,
I'm looking for splitting a daterange into many subperiods following this
example:

Base Date: [2018-01-01, 2018-01-31]
overlapped_periods:
1- [ 2018-01-04, 2018-01-06]
2- [ 2018-01-09, 2018-01-12]
3- [ 2018-01-18, 2018-01-19]

I try to get such a result:
1- [ 2018-01-01, 2018-01-03]
2- [ 2018-01-07, 2018-01-08]
3- [ 2018-01-13, 2018-01-17]
4- [ 2018-01-20, 2018-01-31]

The operator '-' does not support this :

SELECT daterange('2018-01-01', '2018-01-31', '[]') -
daterange('2018-01-04', '2018-01-06', '[]');

I got this error:

*ERROR: result of range difference would not be contiguous*

Is there any operators to make the split of daterange?