Postgres聚合函数，用于计算风速（矢量幅度）和风向（矢量方向）的矢量平均值

我有一个有两列的表格wind_speed and wind_direction。我想要一个返回平均值的自定义聚合函数wind_speed and wind_direction. wind_speed and wind_direction组合起来定义一个向量，其中wind_speed是向量的大小，wind_direction是向量的方向。avg_wind_direction函数应返回平均值wind_speed作为幅度和wind_direction作为平均向量的方向。

SELECT avg_wind_direction(wind_speed, wind_direction)
FROM sometable
GROUP BY location;

相关问题：用于循环平均的自定义 PostgreSQL 聚合 https://stackoverflow.com/q/10225357/512251

首先抱歉，如果我违反了这里的任何发帖规则，第一次发帖等等。

想要将上面的答案与 postgres 中的 timescaledb 添加一起用于我的 DIY 气象站，但事实证明该函数不是并行安全的。另外，使用 atan 并不能产生正确的答案。

所以这是我的修改版本，我认为应该是并行安全的，并使用 atan2 代替。

DROP AGGREGATE IF EXISTS vector_avg(float, float) CASCADE;
DROP TYPE IF EXISTS vector_sum CASCADE;
DROP TYPE IF EXISTS avg_vector CASCADE;

CREATE TYPE vector_sum AS (x float, y float, count int);
CREATE TYPE avg_vector AS (magnitude float, direction float);

CREATE OR REPLACE FUNCTION sum_vector (vectors vector_sum, magnitude float, direction float)
  RETURNS vector_sum LANGUAGE sql PARALLEL SAFE STRICT AS
'SELECT vectors.x + (magnitude * cos(radians(direction))), vectors.y + (magnitude * sin(radians(direction))), vectors.count + 1';

CREATE OR REPLACE FUNCTION combine_sum (part1 vector_sum , part2 vector_sum)
  RETURNS vector_sum LANGUAGE sql PARALLEL SAFE STRICT AS
'SELECT (part1.x+part2.x)/2,(part1.y+part2.y)/2,part1.count+part2.count';

CREATE OR REPLACE FUNCTION avg_vector_finalfunc(vectors vector_sum)
RETURNS avg_vector
AS
$$
DECLARE
        x float;
        y float;
        d float;
BEGIN
    BEGIN
        IF vectors.count = 0 THEN
            RETURN (NULL, NULL)::avg_vector;
        END IF;

        x := (vectors.x/vectors.count);
        y := (vectors.y/vectors.count);

        -- This means the vector is null vector
        -- Please see: https://math.stackexchange.com/a/3682/10842
        IF x = 0 OR y = 0 THEN
            RETURN (0, 0)::avg_vector;
        END IF;

         d:=degrees(atan2(y,x));

        -- atan2 returns negative result for angles > 180

        IF d < 0 THEN
          d := d+360;
        END IF;

        RETURN (sqrt(power(x, 2) + power(y, 2)), d )::avg_vector;
    EXCEPTION WHEN others THEN
        RETURN (NULL, NULL)::avg_vector;
    END;
END;
$$
LANGUAGE 'plpgsql'
PARALLEL SAFE
RETURNS NULL ON NULL INPUT;

CREATE AGGREGATE vector_avg (float, float) (
   sfunc     = sum_vector
 , stype     = vector_sum
 , combinefunc = combine_sum
 , finalfunc = avg_vector_finalfunc
 , initcond  = '(0.0, 0.0, 0)'
 , PARALLEL  = SAFE

从非常小的样本进行测试：

psql -d weather -c "select * from windavgtest;"
             time              | direction | speed 
-------------------------------+-----------+-------
 2019-08-01 16:51:53.199357+00 |       170 |     1
 2019-08-01 16:51:54.388392+00 |       170 |     1
 2019-08-01 16:51:55.335034+00 |       170 |     1
 2019-08-01 16:51:56.362812+00 |       170 |     1
 2019-08-01 16:52:07.191919+00 |       190 |     1
 2019-08-01 16:52:08.250756+00 |       190 |     1
 2019-08-01 16:52:09.193265+00 |       190 |     1
 2019-08-01 16:52:10.224283+00 |       190 |     1
(8 rows)

yields:

psql -d weather -c  "select round((vector_avg(speed, direction)).direction) AS wdirection from windavgtest;
"
 wdirection 
------------
        180
(1 row)