Calculate rolling sum over 7 consecutive day period on PostgreSQL

I need to get the rolling sum over a period of 7 days for each row (1 row per day).

For example:

| Date       | Count | 7-Day Rolling Sum |
------------------------------------------
| 2016-02-01 | 1     | 1
| 2016-02-02 | 1     | 2
| 2016-02-03 | 2     | 4
| 2016-02-04 | 2     | 6
| 2016-02-05 | 2     | 8
| 2016-02-06 | 2     | 10
| 2016-02-07 | 2     | 12
| 2016-02-08 | 2     | 13 --> here we start summing from 02-02
| 2016-02-09 | 2     | 14 --> here we start summing from 02-03
| 2016-02-10 | 5     | 17 --> here we start summing from 02-04

I need this in one query that returns the rows with 7-day rolling sum and the date of the last day of the range of the sum. For example, day=2016-02-10, sum 17.

So far I have this but it’s not fully working:

DO
$do$
DECLARE 
    curr_date date;
    num bigint;
BEGIN
FOR curr_date IN (SELECT date_trunc('day', d)::date FROM generate_series(CURRENT_DATE-31, CURRENT_DATE-1, '1 day'::interval) d)
LOOP 
    SELECT curr_date, SUM(count)
    FROM generate_series (curr_date-8, curr_date-1, '1 day'::interval) d
    LEFT JOIN m.ping AS p ON p.date = d
    LEFT JOIN m.ping_type AS pt ON pt.id = p.ping_type_id
    LEFT JOIN m.ping_frequency AS pf ON pf.id = p.ping_frequency_id
    WHERE
        pt.url_slug = 'active' AND
        pf.url_slug = 'weekly';
END LOOP;
END
$do$;

I am using PostgreSQL 9.4.5. There could be multiple rows with the same date. If there is a gap (a day is missing), the 7-consecutive-day range will still be followed.