Simon Marlow wrote:
Roman Leshchinskiy wrote:

Yes, but I'd also like to have the rule divInt# x# 1# = x#. With the current definition of divInt#, just inlining it and having the rule quotInt# x# 1# = x# (which I'd like to add, too) wouldn't be quite enough, I think.

It ought to be enough :) With an extra simplification (described below), we could do it.

divInt# :: Int# -> Int# -> Int#
x# `divInt#` y#
    | (x# ># 0#) && (y# <# 0#) = ((x# -# 1#) `quotInt#` y#) -# 1#
    | (x# <# 0#) && (y# ># 0#) = ((x# +# 1#) `quotInt#` y#) -# 1#
    | otherwise                = x# `quotInt#` y#

so whey y# is 1#, we get

x# `divInt#` 1#
    | (x# <# 0#) = ((x# +# 1#) `quotInt#` 1#) -# 1#
    | otherwise  = x# `quotInt#` 1#

and with quotInt# x# 1# == 1#, we get

x# `divInt#` 1#
    | (x# <# 0#) = (x# +# 1#) -# 1#
    | otherwise  = x#

GHC doesn't simplify (x# +# 1#) -# 1#, but it should.  If that happened,

Right. In general, we should teach GHC a bit more about arithmetic.

we'd have

x# `divInt#` 1#
    | (x# <# 0#) = x#
    | otherwise  = x#

which simplifies to just x#, and GHC does manage this, I just tried it.

Hmm, I hadn't realised that GHC does this. Is it only for simple rhss?

Roman


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