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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Gerry Jackson <do-not-use@swldwa.uk> Newsgroups: comp.lang.forth Subject: Re: exercise in double number arithmetic Date: Wed, 10 Jul 2024 08:51:02 +0100 Organization: A noiseless patient Spider Lines: 41 Message-ID: <v6leh4$1qbfn$1@dont-email.me> References: <v6c8v0$3usoe$1@dont-email.me> <9c8e8993d3413e65caf355ecc6ceea31@www.novabbs.com> <v6cl84$obt$2@dont-email.me> <5027ddf17f1061435c0ef1df0c5a2061@www.novabbs.com> <v6e4gn$bjep$1@dont-email.me> <v6e8vu$bdbc$1@dont-email.me> <v6gm4j$s90n$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 10 Jul 2024 09:51:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="078680ffe6843df13871f1f889e8cac6"; logging-data="1912311"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+kGUyM0r2pVxNy/N33TSTPIgmmXQ/2t0c=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:0UzpRgadoFA9Qo826vLSORqt5aY= Content-Language: en-GB In-Reply-To: <v6gm4j$s90n$2@dont-email.me> Bytes: 2521 On 08/07/2024 13:30, Krishna Myneni wrote: > On 7/7/24 09:33, Gerry Jackson wrote: >> On 07/07/2024 14:17, Krishna Myneni wrote: > ... >>> The whole D>F and floating point operations can be dispensed with if >>> we have D/MOD -- a double length version /MOD. >>> >>> -- >>> Krishna >>> >>> >> >> There is a +D/MOD in this link >> >> http://www3.cs.stonybrook.edu/~algorith/implement/random-number/distrib/r250.seq >> > > Thanks, Gerry. It looks like D/MOD is not essential to computing the > binomial coefficients with double length numbers. We can use M*/ for > single computations, or simply D+ to build up a table of coefficients. > But, it's good to have a reference for D/MOD. > > I remember that I wanted to update the FSL R250 code to generate 64-bit > random numbers, but I never got around to it. There is also a > permutations and combinations module in FSL which may benefit from what > has been demonstrated in this thread. > > -- > Krishna > I didn't realise the paper I linked to was in the FSL as I've never had much to do with the FSL. I found I had another definition for D/MOD from Forth Dimensions Vol 14 Issue 6, p 27 "Math - Who Needs It" https://www.forth.org/fd/FD-V14N6.pdf I've no idea how good it is -- Gerry