On Fri, Jul 15, 2016 at 9:39 PM, Steven D'Aprano <st...@pearwood.info> wrote:
> py> from math import frexp
> py> x = 2.5
> py> y = 3.5
> py> x*y
> 8.75
> py> m1, e1 = math.frexp(x)
> py> m2, e2 = math.frexp(y)
> py> m1*m2 * 2.0**(e1 + e2)
> 8.75
>
>
> Looks good to me. So let's try a less naive version of product():
>
>
> def product_scaled(values):
> scale = 0
> prod = 1.0
> for a in values:
> m1, e1 = math.frexp(a)
> m2, e2 = math.frexp(prod)
> scale += (e1 + e2)
> prod *= (m1*m2)
> return (prod * 2.0**scale)
>
>
> py> product_scaled([2.5, 3.5]) # expected 8.75
> 2.734375
>
You're chaining your product twice. (Also your scale, although that
appears to be correct.) Changing it to "prod = m1 * m2" gives 8.75.
But what do you gain by this? You're still stuffing the result back
into a float at the end, so all you do is change from getting
float("inf") to getting OverflowError. How can you make it not
overflow?
ChrisA
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