/**
* Display average book length and standard deviation of book lengths
* grouped by publisher.
*
* @author T.Sergeant
* @version For DB class
*
* NOTE: PostgreSQL actually provides a built-in aggregate function for
* calculating standard deviation. We calculate it manually here to show
* how to execute a query in PL/PGSQL and cycle through its results and to
* produce a query as a result of the function.
*
* To calculate standard deviation we first must know the mean ... then we
* sum the squares of the differences between the mean and each value. Then
* we divide the sum by the number of values and then take the square root.
*
* SELECT * FROM book_lengths();
*
* Before creating function, define the return type:
DROP FUNCTION book_lengths();
DROP TYPE return_type;
CREATE TYPE return_type AS (
publisher_id INTEGER,
name VARCHAR,
average FLOAT,
standard_deviation FLOAT
);
*/
CREATE OR REPLACE FUNCTION book_lengths() RETURNS SETOF return_type AS $$
DECLARE
result return_type;
count INTEGER;
sum FLOAT;
npages INTEGER;
BEGIN
FOR result IN
(SELECT publisher_id,name,AVG(num_pages),0.0 AS standard_deviation
FROM book JOIN publisher USING (publisher_id) GROUP BY publisher_id,name ORDER BY name) LOOP
sum:= 0.0;
count:= 0;
FOR npages IN SELECT num_pages AS INTEGER FROM book WHERE publisher_id = result.publisher_id LOOP
IF npages IS NOT NULL THEN
sum:= sum + (npages-result.average)^2.0;
count:= count + 1;
END IF;
END LOOP;
result.standard_deviation= sqrt(sum/count);
RETURN NEXT result;
END LOOP;
END;
$$ LANGUAGE plpgsql;
SELECT * FROM book_lengths();