Proposal: Num instance for tuples

[Conal Elliott]

I use these instances and similar ones from NumInstances [1] quite a bit. I
also frequently use another pattern for applicative functors, via
applicative-numbers [2]. I don't mind pulling these instances from a
package, though they are orphans.

It does trouble me a bit that the two patterns overlap and disagree on
pairs.

For pairs, I like fromInteger n = (fromInteger n, fromInteger n). Then, for
instance, 1 * (a,b) = (a,b).

-- Conal

[1] http://hackage.haskell.org/package/NumInstances
[2] http://hackage.haskell.org/package/applicative-numbers

On Thu, Oct 18, 2012 at 2:58 AM, Twan van Laarhoven <twanvl at gmail.com>wrote:

> Dear list,
>
>
> One piece of utility code that I find myself writing over and over again
> is the pointwise Num instance for tuples, i.e.
>
>     instance (Num a, Num b) => Num (a,b) where
>         fromInteger x = (fromInteger x, fromInteger x)
>         (a,b) + (a',b') = (a + a', b + b')
>         (a,b) - (a',b') = (a - a', b - b')
>         (a,b) * (a',b') = (a * a', b * b')
>         negate (a,b) = (negate a, negate b)
>         abs (a,b) = (abs a, abs b)
>         signum (a,b) = (signum a, signum b)
>
> I therefore propose that this instance be added to the base library. If we
> do that, the equivalent instances for (,,) (,,,) etc. should perhaps also
> be added, as well as instances for other numeric classes such as Fractional
> and Floating.
>
>
> Discussion period: 2 weeks, ends 2012-11-01.
>
>
> Twan
>
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