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Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: mitchalsup@aol.com (MitchAlsup1) Newsgroups: comp.arch Subject: Re: Continuations Date: Tue, 23 Jul 2024 15:14:44 +0000 Organization: Rocksolid Light Message-ID: <81113581cf5c5197f09cfe36a240585a@www.novabbs.org> References: <v6tbki$3g9rg$1@dont-email.me> <47689j5gbdg2runh3t7oq2thodmfkalno6@4ax.com> <v71vqu$gomv$9@dont-email.me> <116d9j5651mtjmq4bkjaheuf0pgpu6p0m8@4ax.com> <f8c6c5b5863ecfc1ad45bb415f0d2b49@www.novabbs.org> <7u7e9j5dthm94vb2vdsugngjf1cafhu2i4@4ax.com> <0f7b4deb1761f4c485d1dc3b21eb7cb3@www.novabbs.org> <v78soj$1tn73$1@dont-email.me> <v7dsf2$3139m$1@dont-email.me> <277c774f1eb48be79cd148dfc25c4367@www.novabbs.org> <v7ecrj$33vqv$1@dont-email.me> <20240722140115.000058cf@yahoo.com> <df16adb129e9f28d04c51c0f48276c50@www.novabbs.org> <20240722185010.00007d0e@yahoo.com> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Info: i2pn2.org; logging-data="97256"; mail-complaints-to="usenet@i2pn2.org"; posting-account="65wTazMNTleAJDh/pRqmKE7ADni/0wesT78+pyiDW8A"; User-Agent: Rocksolid Light X-Rslight-Posting-User: ac58ceb75ea22753186dae54d967fed894c3dce8 X-Spam-Checker-Version: SpamAssassin 4.0.0 X-Rslight-Site: $2y$10$owkd47.scA/thhy5GINvfeog3/YfAhoWstmvq0jlF.VktM2OnGoaq Bytes: 2278 Lines: 24 On Mon, 22 Jul 2024 15:50:10 +0000, Michael S wrote: > On Mon, 22 Jul 2024 15:01:10 +0000 > mitchalsup@aol.com (MitchAlsup1) wrote: > >> There are certain N-R iterations that can be expressed with both:: >> >> NR+1 = F( NR, SQRT() ) >> and >> NR+1 = F'(NR, RSQRT() ) >> >> Typically the one with RSQRT() converges slightly faster than the >> one using SQRT(). How much is slightly::maybe ½-1 more bit per >> iteration. > > As I said above, I am not aware of the NR iterations for SQRT() that > consist of fmul, fadd and nothing else. > If you know one, please tell me. A am NOT talking about a NR iteration for SQRT() these can be dome with bit twiddling and multiplication. I am talking about a NR iteration that uses SQRT() in the calculation of some other <harder> elementary function.