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From: Krishna Myneni <krishna.myneni@ccreweb.org>
Newsgroups: comp.lang.forth
Subject: Re: exercise in double number arithmetic
Date: Sun, 7 Jul 2024 08:17:11 -0500
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On 7/7/24 00:48, Ahmed wrote:
> On Sat, 6 Jul 2024 23:50:28 (UTC), Krishna Myneni wrote:
> 
>> On 7/6/24 16:59, Ahmed wrote:
> ...
>> : solution ( -- d)
>>      1 s>d 43 22 do i 1 m*/ loop d>f
>>      21 dup s>d rot 2 do I 1 m*/ loop d>f
>>      f/ fround f>d ;
>>
> ...
>> Krishna
> 
> 
> You have not to use fround. (42!/21!) is an integer and is multiple of
> 21!.
> in other words 42! is multiple of (21!)^2.
> 

The FROUND is necessary because 42!/21! is too large of an integer to be 
exactly represented by double-precision fp (IEEE format) and F>D is a 
truncating operation, not rounding.

The whole D>F and floating point operations can be dispensed with if we 
have D/MOD -- a double length version /MOD.

--
Krishna