dbms: Server: Added unit test. [#METR-16188]

dbms/tests/queries/0_stateless/00181_aggregate_functions_statistics.reference

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dbms/tests/queries/0_stateless/00181_aggregate_functions_statistics.sql

+DROP TABLE IF EXISTS series;
+
+CREATE TABLE series(i UInt32, x_value Float64, y_value Float64) ENGINE = Memory;
+
+/* Тестовые данные */
+
+INSERT INTO series(i, x_value, y_value) VALUES (1, 5.6,-4.4),(2, -9.6,3),(3, -1.3,-4),(4, 5.3,9.7),(5, 4.4,0.037),(6, -8.6,-7.8),(7, 5.1,9.3),(8, 7.9,-3.6),(9, -8.2,0.62),(10, -3,7.3);
+
+/* varSamp */
+
+SELECT varSamp(x_value) FROM (SELECT x_value FROM series LIMIT 0);
+SELECT varSamp(x_value) FROM (SELECT x_value FROM series LIMIT 1);
+
+SELECT round(abs(res1 - res2), 6) FROM
+(
+SELECT
+    varSamp(x_value) AS res1, 
+    (sum(x_value * x_value) - ((sum(x_value) * sum(x_value)) / count())) / (count() - 1) AS res2
+FROM series
+);
+
+/* stddevSamp */
+
+SELECT stddevSamp(x_value) FROM (SELECT x_value FROM series LIMIT 0);
+SELECT stddevSamp(x_value) FROM (SELECT x_value FROM series LIMIT 1);
+
+SELECT round(abs(res1 - res2), 6) FROM
+(
+SELECT
+    stddevSamp(x_value) AS res1, 
+    sqrt((sum(x_value * x_value) - ((sum(x_value) * sum(x_value)) / count())) / (count() - 1)) AS res2
+FROM series
+);
+
+/* varPop */
+
+SELECT varPop(x_value) FROM (SELECT x_value FROM series LIMIT 0);
+SELECT varPop(x_value) FROM (SELECT x_value FROM series LIMIT 1);
+
+SELECT round(abs(res1 - res2), 6) FROM
+(
+SELECT
+    varPop(x_value) AS res1, 
+    (sum(x_value * x_value) - ((sum(x_value) * sum(x_value)) / count())) / count() AS res2
+FROM series
+);
+
+/* stddevPop */
+
+SELECT stddevPop(x_value) FROM (SELECT x_value FROM series LIMIT 0);
+SELECT stddevPop(x_value) FROM (SELECT x_value FROM series LIMIT 1);
+
+SELECT round(abs(res1 - res2), 6) FROM
+(
+SELECT
+    stddevPop(x_value) AS res1, 
+    sqrt((sum(x_value * x_value) - ((sum(x_value) * sum(x_value)) / count())) / count()) AS res2
+FROM series
+);
+
+/* covarSamp */
+
+SELECT covarSamp(x_value, y_value) FROM (SELECT x_value, y_value FROM series LIMIT 0);
+SELECT covarSamp(x_value, y_value) FROM (SELECT x_value, y_value FROM series LIMIT 1);
+
+SELECT round(abs(COVAR1 - COVAR2), 6)
+FROM 
+(
+    SELECT 
+        arrayJoin([1]) AS ID2, 
+        covarSamp(x_value, y_value) AS COVAR1
+    FROM series
+) ANY INNER JOIN 
+(
+    SELECT 
+        arrayJoin([1]) AS ID2, 
+        sum(VAL) / (count() - 1) AS COVAR2
+    FROM 
+    (
+        SELECT (X - AVG_X) * (Y - AVG_Y) AS VAL
+        FROM 
+        (
+            SELECT 
+                toUInt32(arrayJoin([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])) AS ID, 
+                avg(x_value) AS AVG_X, 
+                avg(y_value) AS AVG_Y
+            FROM series
+        ) ANY INNER JOIN 
+        (
+            SELECT 
+                i AS ID, 
+                x_value AS X, 
+                y_value AS Y
+            FROM series
+        ) USING ID
+    )
+) USING ID2;
+
+/* covarPop */
+
+SELECT covarPop(x_value, y_value) FROM (SELECT x_value, y_value FROM series LIMIT 0);
+SELECT covarPop(x_value, y_value) FROM (SELECT x_value, y_value FROM series LIMIT 1);
+
+SELECT round(abs(COVAR1 - COVAR2), 6)
+FROM 
+(
+    SELECT 
+        arrayJoin([1]) AS ID2, 
+        covarPop(x_value, y_value) AS COVAR1
+    FROM series
+) ANY INNER JOIN 
+(
+    SELECT 
+        arrayJoin([1]) AS ID2, 
+        sum(VAL) / count() AS COVAR2
+    FROM 
+    (
+        SELECT (X - AVG_X) * (Y - AVG_Y) AS VAL
+        FROM 
+        (
+            SELECT 
+                toUInt32(arrayJoin([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])) AS ID, 
+                avg(x_value) AS AVG_X, 
+                avg(y_value) AS AVG_Y
+            FROM series
+        ) ANY INNER JOIN 
+        (
+            SELECT 
+                i AS ID, 
+                x_value AS X, 
+                y_value AS Y
+            FROM series
+        ) USING ID
+    )
+) USING ID2;
+
+/* corr */
+
+SELECT corr(x_value, y_value) FROM (SELECT x_value, y_value FROM series LIMIT 0);
+SELECT corr(x_value, y_value) FROM (SELECT x_value, y_value FROM series LIMIT 1);
+
+SELECT round(abs(corr(x_value, y_value) - covarPop(x_value, y_value) / (stddevPop(x_value) * stddevPop(y_value))), 6) FROM series;
+