Filtering by window function result in Postgresql - sql

Question

Ok, initially this was just a joke we had with a friend of mine, but it turned into interesting technical question :)
I have the following stuff table:
CREATE TABLE stuff
(
id serial PRIMARY KEY,
volume integer NOT NULL DEFAULT 0,
priority smallint NOT NULL DEFAULT 0,
);
The table contains the records for all of my stuff, with respective volume and priority (how much I need it).
I have a bag with specified volume, say 1000. I want to select from the table all stuff I can put into a bag, packing the most important stuff first.
This seems like the case for using window functions, so here is the query I came up with:
select s.*, sum(volume) OVER previous_rows as total
from stuff s
where total < 1000
WINDOW previous_rows as
(ORDER BY priority desc ROWS between UNBOUNDED PRECEDING and CURRENT ROW)
order by priority desc
The problem with it, however, is that Postgres complains:
ERROR: column "total" does not exist
LINE 3: where total < 1000
If I remove this filter, total column gets properly calculated, results properly sorted but all stuff gets selected, which is not what I want.
So, how do I do this? How do I select only items that can fit into the bag?

Answer 1

I don't know if this qualifies as "more elegant" but it is written in a different manner than Cybernate's solution (although it is essentially the same)
WITH window_table AS
(
SELECT s.*,
sum(volume) OVER previous_rows as total
FROM stuff s
WINDOW previous_rows as
(ORDER BY priority desc ROWS between UNBOUNDED PRECEDING and CURRENT ROW)
)
SELECT *
FROM window_table
WHERE total < 1000
ORDER BY priority DESC
If by "more elegant" you mean something that avoids the sub-select, then the answer is "no"

Answer 2

I haven't worked with PostgreSQL. However, my best guess would be using an inline view.
SELECT a.*
FROM (
SELECT s.*, sum(volume) OVER previous_rows AS total
FROM stuff AS s
WINDOW previous_rows AS (
ORDER BY priority desc
ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
)
ORDER BY priority DESC
) AS a
WHERE a.total < 1000;