Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: comp.lang.c,comp.arch
Subject: Re: Radians Or Degrees?
Date: Fri, 15 Mar 2024 14:13:11 -0700
Organization: A noiseless patient Spider
Lines: 46
Message-ID: <ut2dl8$2ffnh$1@dont-email.me>
References: <ur5trn$3d64t$1@dont-email.me> <ur5v05$3ccut$1@dont-email.me>
 <20240222015920.00000260@yahoo.com> <ur69j9$3ftgj$3@dont-email.me>
 <ur86eg$1aip$1@dont-email.me> <ur88e4$1rr1$5@dont-email.me>
 <ur8a2p$2446$1@dont-email.me> <ur8ctk$2vbd$2@dont-email.me>
 <20240222233838.0000572f@yahoo.com>
 <3b2e86cdb0ee8785b4405ab10871c5ca@www.novabbs.org>
 <ur8nud$4n1r$1@dont-email.me>
 <936a852388e7e4414cb7e529da7095ea@www.novabbs.org>
 <ur9qtp$fnm9$1@dont-email.me> <20240314112655.000011f8@yahoo.com>
 <ut17ji$27n6b$1@dont-email.me> <ut2csb$2fe4u$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Fri, 15 Mar 2024 21:13:12 -0000 (UTC)
Injection-Info: dont-email.me; posting-host="ed612d4ce44e1af227fa0b762e20f588";
	logging-data="2604785"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1983oh+Dz6BKXm2zXYUHua3uc/r3tUN2jQ="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:1KtDhNA4mN363hfJ0OTzeUziUs8=
Content-Language: en-US
In-Reply-To: <ut2csb$2fe4u$1@dont-email.me>
Bytes: 2750

On 3/15/2024 1:59 PM, Chris M. Thomasson wrote:
> On 3/15/2024 3:23 AM, Terje Mathisen wrote:
>> Michael, I for the main part agree with you here, i.e. calculating 
>> sin(x) with x larger than 2^53 or so, is almost certainly stupid.
> [...]
> 
> ;^D tooooooo big. :^)
> 
> Now, wrt the results, arbitrary precision for trig is useful, in say... 
> Deep fractal zooms...

Say I want at least 30 digits of precision for a certain calculation of 
complex numbers at a certain zoom level. Along the lines of trying to 
match convergents of continued fractions, take pi:

3.1415926535897932384...

two digits of decimal precision:

22/7 = 3.14_28571428571428571428571428571


three digits of decimal precision:

333/106 = 3.1415_094339622641509433962264151


six digits of decimal precision:

355/113 = 3.141592_9203539823008849557522124

On and on...

Well...


> 
> Zooming in really deep in say something like this, well the precision of 
> trig can become an issue:
> 
> https://paulbourke.net/fractals/multijulia/
> 
> Trig would be used, say, in rectangular to-from polar forms wrt getting 
> the n-ary roots of a complex number?
>