Problemer som dette er nemmere at løse, hvis du har en kalendertabel med alle de datoer, du har brug for. Hvis du ikke har sådan en tabel, kan du oprette den med en forespørgsel som denne:
create table `calendar` (
`date` DATE NOT NULL,
PRIMARY KEY (`date`)
)
select DATE_ADD('1900-01-01',INTERVAL t4.c*10000 + t3.c*1000 + t2.c*100 + t1.c*10 + t0.c DAY) as `date`
from
(select 0 c union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) t0,
(select 0 c union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) t1,
(select 0 c union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) t2,
(select 0 c union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) t3,
(select 0 c union all select 1 union all select 2 union all select 3 union all select 4 union all select 5 union all select 6 union all select 7 union all select 8 union all select 9) t4
Det vil skabe en tabel med datoer fra 1900-01-01 til 2173-10-15 (100.000 dage) og kun forbruge omkring 2,5 MB. Du kan tilpasse det til dine behov.
Ved hjælp af kalendertabellen kan du få tre måneders intervaller:
select
DATE_FORMAT(date_sub(c.date, INTERVAL 1 day), '%Y-%m') as month,
date_sub(c.date, INTERVAL 3 month) as first_day,
date_sub(c.date, INTERVAL 1 day) as last_day
from calendar c
where day(c.date) = 1
and c.date between '2015-02-01' and '2015-09-01'
Resultat:
| month | first_day | last_day |
| 2015-01 | 2014-11-01 | 2015-01-31 |
| 2015-02 | 2014-12-01 | 2015-02-28 |
| 2015-03 | 2015-01-01 | 2015-03-31 |
| 2015-04 | 2015-02-01 | 2015-04-30 |
| 2015-05 | 2015-03-01 | 2015-05-31 |
| 2015-06 | 2015-04-01 | 2015-06-30 |
| 2015-07 | 2015-05-01 | 2015-07-31 |
| 2015-08 | 2015-06-01 | 2015-08-31 |
Juster det, hvis du virkelig vil bruge noget som 90 dages intervaller.
Nu er det en simpel venstre joinforbindelse med login-tabellen for at få det, du ønsker:
select i.month as `Date`, count(distinct l.user_id) as `Active users`
from (
select
date_format(date_sub(c.date, interval 1 day), '%Y-%m') as month,
date_sub(c.date, interval 3 month) as first_day,
date_sub(c.date, interval 1 day) as last_day
from calendar c
where day(c.date) = 1
and c.date between '2015-02-01' and '2015-09-01'
) i
left join login_table l on l.login_date between i.first_day and i.last_day
group by i.month
http://sqlfiddle.com/#!9/d1bb0/3