Why is [1..n] not handled the same way as [n..1] in Haskell?
[a..b]
desugars to enumFromTo a b
. For standard numeric types (modulo a couple of quirks for floating), this keeps adding one until you are >= b
. So where b < a
this is empty.
You can change the increment by using the following syntax [a,a'..b]
which then takes steps in increments of a'-a
. So [10,9..1]
will be what you want.
This is because of the way the sequence is defined in Haskell Report Arithmetic Sequences :
[ e1..e3 ] = enumFromTo e1 e3
and Haskell Report The Enum Class
The sequence enumFromTo e1 e3 is the list [e1,e1 + 1,e1 + 2, ... e3]. The list is empty if e1 > e3.
(emphasis added).
They are handled exactly the same way. You start from the first bound and count up.