Re: Making Lemonade (Floating-point format changes)

MitchAlsup1 <mitchalsup@aol.com> schrieb:

BGB wrote:
>

On 5/20/2024 7:36 AM, Michael S wrote:

 
For subnormal x subnormal you don't need result of multiplication at
all. All you need to know is if it's zero or not and what sign.
Even that is needed only in non-default rounding modes and for inexact
flag in default mode.
 

>

For most non-tiny formats, the seeming advantage of subnormal numbers
seems small, in any case.

>
There is, it is called Posit (or UNUM depending).
No subnormals, wider range then IEEE, more precision than IEEE
(most of the time). Whether it is better overall is still a
matter of debate. It is harder to implement than IEEE but
just barely.

My guess is that it will never catch on.  Having accuracy depend
on the number range is an idea that people who prove things about
numerical algorithms tend to dislike.