git: changelog day by day

How to generate changelog of commits groupped by date, in format:

[date today]
- commit message1
- commit message2
- commit message3
...
[date day+3]
- commit message1
- commit message2
- commit message3
...
(skip this day if no commits)

[date day+1]
- commit message1
- commit message2
- commit message3
... 
[date since]
- commit message1
- commit message2
- commit message3

Any git log command, or smart bash script?