The current definition of "abs" and "signum" for the types Float/Double is not IEEE-754 compliant. To wit:
Prelude> abs (-0.0::Float)-0.0Prelude> signum (-0.0::Float)0.0The correct result should be the other way around; abs returning 0.0 and signum returning -0.0 when they receive a negative-zero. The same also holds for the type Double.The issue came up several times in several forums, with general consensus that the behavior should match the IEEE-754 specs. Here're three different discussions on this matter:Proposed fix: Section 6.4.4 of the report http://www.haskell.org/onlinereport/basic.html#sect6.4 gives "default" definitions for abs/signum; which fails to take into account of negative-zero values for floating-point types. An easy fix would be to add to the report a note on the status of negative-zero for Real/Float instances; with individual implementations explicitly checking for negative-0 first. For instance GHC's implementation can be changed as follows:instance Num Float wheresignum x | isNegativeZero x = x
| x == 0 = 0| x > 0.0 = 1| otherwise = negate 1abs x | isNegativeZero x = 0| x >= 0 = x| otherwise = negate xA similar change would need to be done for the "Num Double" instance as well. Of course, implementations can take advantage of the underlying CPU's native floating-point abs/sign functions if available as well, avoiding explicit tests at the Haskell code; based on the underlying platform.Library guidelines suggest a discussion period of 2 weeks on this issue. I'm hoping that we can resolve the issue in a timely manner, and at least GHC's implementation can match the desired semantics in the next release. If there's consensus at the end of 2-weeks; I'll go ahead and create a corresponding ticket for GHC.Thanks,-Levent.
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