-- MySQL-compatible function alias tests
-- ucase -> upper
SELECT
    ucase('dataFusion') AS ucase_value,
    upper('dataFusion') AS upper_value;

+-------------+-------------+
| ucase_value | upper_value |
+-------------+-------------+
| DATAFUSION  | DATAFUSION  |
+-------------+-------------+

-- lcase -> lower
SELECT
    lcase('DataFusion') AS lcase_value,
    lower('DataFusion') AS lower_value;

+-------------+-------------+
| lcase_value | lower_value |
+-------------+-------------+
| datafusion  | datafusion  |
+-------------+-------------+

-- ceiling -> ceil
SELECT
    ceiling(1.2) AS ceiling_pos,
    ceil(1.2) AS ceil_pos,
    ceiling(-1.2) AS ceiling_neg,
    ceil(-1.2) AS ceil_neg;

+-------------+----------+-------------+----------+
| ceiling_pos | ceil_pos | ceiling_neg | ceil_neg |
+-------------+----------+-------------+----------+
| 2.0         | 2.0      | -1.0        | -1.0     |
+-------------+----------+-------------+----------+

-- mid -> substr
SELECT
    mid('datafusion', 5, 3) AS mid_value,
    substr('datafusion', 5, 3) AS substr_value;

+-----------+--------------+
| mid_value | substr_value |
+-----------+--------------+
| fus       | fus          |
+-----------+--------------+

-- rand -> random
-- NOTE: RAND([seed]) is supported by MySQL, but seed is not supported here.
-- This test only validates that rand() exists and returns values in [0, 1).
SELECT rand() >= 0.0 AND rand() < 1.0 AS rand_in_range;

+---------------+
| rand_in_range |
+---------------+
| true          |
+---------------+

-- std -> stddev_pop, variance -> var_pop
SELECT
    round(std(x), 6) AS std_value,
    round(stddev_pop(x), 6) AS stddev_pop_value,
    round(variance(x), 6) AS variance_value,
    round(var_pop(x), 6) AS var_pop_value
FROM (VALUES (1.0), (2.0), (3.0)) AS t(x);

+-----------+------------------+----------------+---------------+
| std_value | stddev_pop_value | variance_value | var_pop_value |
+-----------+------------------+----------------+---------------+
| 0.816497  | 0.816497         | 0.666667       | 0.666667      |
+-----------+------------------+----------------+---------------+