Sådana problem är lättare att lösa om du har en kalendertabell med alla datum du behöver. Om du inte har en sådan tabell kan du skapa den med en fråga så här:
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 skapar en tabell med datum från 1900-01-01 till 2173-10-15 (100 000 dagar) och förbrukar bara cirka 2,5 MB. Du kan anpassa den efter dina behov.
Med hjälp av kalendertabellen kan du få tre månaders intervall:
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 |
Justera det om du verkligen vill använda något som 90 dagars intervall.
Nu är det en enkel vänsterkoppling med inloggningstabellen för att få det du vill ha:
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