You can't dynamically select the table like that in straight-up SQL. You would need a stored procedure to do exactly what you are wanting. There are some workarounds though.
You could do something janky in your FROM clause like:
SELECT *
FROM
(SELECT null as "whatever") as fakeTable
LEFT OUTER JOIN version1 on input_parameter = 1
LEFT OUTER JOIN version2 on input_parameter = 2
LEFT OUTER JOIN version3 on input_parameter = 3
This will work since the input_parameter can only be one value at a time. Should you decide you want both version1 and version2 joined if the input_parameter is 2 then you will end up with a cross join and may god have mercy on your soul.
You could do something janky with a UNION:
SELECT * FROM version1 WHERE input_paramter=1
UNION ALL
SELECT * FROM version2 WHERE input_paramter=2
UNION ALL
SELECT * FROM version3 WHERE input_paramter=3
This is a bit nicer since a screw up will only bring back 2 or 3 times as many results instead of the screw up in example 1 where you get n^2 or n^3 results.
I'm not sure which one is going to cause more trouble from a CPU-I/O standpoint, but I would guess that they are pretty close from an execution path standpoint, and if the data is small, it probably won't matter anyway.