-- Use terse verbosity, so that the expected output does not depend on the
-- error context, which differs between PostgreSQL versions (particularly
-- for the COPY ... FROM statements below).
\set VERBOSITY terse

-- Reproducer: tdigest_trimmed_agg() accumulated the trimmed sum by adding
-- (mean * count) for all the centroids in the range, and the trimmed average
-- was then calculated by dividing that sum by the number of items.
--
-- But the sum may overflow to infinity even when the average is perfectly
-- representable. The average of 1e307 values is 1e307, yet the sum of a
-- hundred of them is not a float8. The average was then reported as
-- Infinity, which is simply a wrong answer - the average of a digest is
-- always within the range of the centroid means, so it can never overflow.
--
-- And once one partial sum saturates to +Infinity and another one to
-- -Infinity, the accumulator turns into NaN, so a digest with large values
-- of both signs reported NaN for both the sum and the average.
--
-- The sum, unlike the average, may legitimately exceed the float8 range.
-- Report that as an error, just like the regular float8 arithmetic does,
-- instead of silently returning infinity.
--
--     query                                    before        after
--     tdigest_digest_avg((1e307, 100))         Infinity      1e+307
--     tdigest_digest_sum((1e307, 100))         Infinity      ERROR
--     tdigest_digest_avg((-1e308,2) (1e308,2)) NaN           0
--     tdigest_digest_sum((-1e308,2) (1e308,2)) NaN           0
--
-- This affects tdigest_digest_sum() and tdigest_digest_avg() as well as the
-- tdigest_sum() and tdigest_avg() aggregates, i.e. anything going through
-- tdigest_trimmed_agg().

-- The average is representable, the sum is not. The average has to be
-- 1e307, the sum has to be reported as an overflow.
SELECT tdigest_digest_avg('flags 1 count 100 compression 10 centroids 1 (1e307, 100)'::tdigest);
SELECT tdigest_digest_sum('flags 1 count 100 compression 10 centroids 1 (1e307, 100)'::tdigest);

-- Trimming does not change that, as long as enough items remain.
SELECT tdigest_digest_avg('flags 1 count 100 compression 10 centroids 1 (1e307, 100)'::tdigest, 0.25, 0.75);
SELECT tdigest_digest_sum('flags 1 count 100 compression 10 centroids 1 (1e307, 100)'::tdigest, 0.25, 0.75);

-- Trim it down to a single item, and even the sum fits again.
SELECT tdigest_digest_avg('flags 1 count 100 compression 10 centroids 1 (1e307, 100)'::tdigest, 0.5, 0.51);
SELECT tdigest_digest_sum('flags 1 count 100 compression 10 centroids 1 (1e307, 100)'::tdigest, 0.5, 0.51);

-- Large values of both signs, cancelling out exactly. Both the average and
-- the sum are 0, the accumulator used to end up as NaN.
SELECT tdigest_digest_avg('flags 1 count 4 compression 10 centroids 2 (-1e308, 2) (1e308, 2)'::tdigest);
SELECT tdigest_digest_sum('flags 1 count 4 compression 10 centroids 2 (-1e308, 2) (1e308, 2)'::tdigest);

-- The same, but with the values cancelling only partially.
SELECT tdigest_digest_avg('flags 1 count 4 compression 10 centroids 2 (-1e308, 1) (1e308, 3)'::tdigest);
SELECT tdigest_digest_sum('flags 1 count 4 compression 10 centroids 2 (-1e308, 1) (1e308, 3)'::tdigest);

-- Trim the negative values away, and only the overflowing part remains.
SELECT tdigest_digest_avg('flags 1 count 4 compression 10 centroids 2 (-1e308, 2) (1e308, 2)'::tdigest, 0.5, 1.0);
SELECT tdigest_digest_sum('flags 1 count 4 compression 10 centroids 2 (-1e308, 2) (1e308, 2)'::tdigest, 0.5, 1.0);

-- The trimmed aggregates on the value/count API go through a different code
-- path (the aggregate final functions), so check those too.
SELECT tdigest_avg(1e307::float8, 200::bigint, 10, 0.0, 1.0);
SELECT tdigest_sum(1e307::float8, 200::bigint, 10, 0.0, 1.0);

-- And the plain value API.
SELECT tdigest_avg(v, 10, 0.0, 1.0) FROM (VALUES (1e308::float8), (1e308::float8)) t(v);
SELECT tdigest_sum(v, 10, 0.0, 1.0) FROM (VALUES (1e308::float8), (1e308::float8)) t(v);

SELECT tdigest_avg(v, 10, 0.0, 1.0) FROM (VALUES (-1e308::float8), (1e308::float8)) t(v);
SELECT tdigest_sum(v, 10, 0.0, 1.0) FROM (VALUES (-1e308::float8), (1e308::float8)) t(v);

-- Ordinary values are not affected in any way, and an empty range still
-- returns NULL.
SELECT tdigest_digest_avg('flags 1 count 30 compression 10 centroids 3 (10, 10) (20, 5) (30, 15)'::tdigest, 0.1, 0.9);
SELECT tdigest_digest_sum('flags 1 count 30 compression 10 centroids 3 (10, 10) (20, 5) (30, 15)'::tdigest, 0.1, 0.9);
SELECT tdigest_digest_avg('flags 1 count 30 compression 10 centroids 3 (10, 10) (20, 5) (30, 15)'::tdigest, 0.5, 0.5);
SELECT tdigest_digest_sum('flags 1 count 30 compression 10 centroids 3 (10, 10) (20, 5) (30, 15)'::tdigest, 0.5, 0.5);