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Understanding behavior of SELECT with multiple unnested columns

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I've been working on some queries involving multiple unnested columns.  At first, I expected the number of rows returned would be the product of the array lengths, so that this query would return 4 rows:

SELECT unnest2(array['a','b']),unnest2(array['1','2']);

when in fact it returns 2:

 unnest2 | unnest2 
---------+---------
 a       | 1
 b       | 2

Which is all well and good.  (Better, in fact, for my purposes.)  But then this query returns 6 rows:

SELECT unnest2(array['a','b','c']),unnest2(array['1','2']);
 unnest2 | unnest2 
---------+---------
 a       | 1
 b       | 2
 c       | 1
 a       | 2
 b       | 1
 c       | 2

Throw an unnested null column in and you get zero rows, which I also didn't expect:

SELECT unnest2(array['a','b','c']),unnest2(array['1','2']),unnest(NULL::varchar[]);
 unnest2 | unnest2 | unnest 
---------+---------+--------
(0 rows)


After some head scratching, I think I understand what to expect from these unnests, but I'm unclear of the logic behind what is going on.  I'm hoping someone can explain it a bit.  Also, on a practical level, would anyone know how to query so that SELECT unnest2(array['a','b','c']),unnest2(array['1','2']) would return three rows instead of six, like so:

a 1
b 2
c (NULL)

As that would be perfect for my purposes.  Thanks in advance!

Ken




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