From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.org/gmane.linux.lib.musl.general/13847 Path: news.gmane.org!.POSTED.blaine.gmane.org!not-for-mail From: Shane Seelig Newsgroups: gmane.linux.lib.musl.general Subject: x87 asin and acos Date: Sat, 23 Feb 2019 09:21:08 -0500 Message-ID: Reply-To: musl@lists.openwall.com Mime-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: quoted-printable Injection-Info: blaine.gmane.org; posting-host="blaine.gmane.org:195.159.176.226"; logging-data="249072"; mail-complaints-to="usenet@blaine.gmane.org" User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:60.0) Gecko/20100101 Thunderbird/60.5.0 To: musl@lists.openwall.com Original-X-From: musl-return-13863-gllmg-musl=m.gmane.org@lists.openwall.com Sat Feb 23 15:56:13 2019 Return-path: Envelope-to: gllmg-musl@m.gmane.org Original-Received: from mother.openwall.net ([195.42.179.200]) by blaine.gmane.org with smtp (Exim 4.89) (envelope-from ) id 1gxYiq-0012gh-4Y for gllmg-musl@m.gmane.org; Sat, 23 Feb 2019 15:56:12 +0100 Original-Received: (qmail 10170 invoked by uid 550); 23 Feb 2019 14:56:09 -0000 Mailing-List: contact musl-help@lists.openwall.com; run by ezmlm Precedence: bulk List-Post: List-Help: List-Unsubscribe: List-Subscribe: List-ID: Original-Received: (qmail 18019 invoked from network); 23 Feb 2019 14:22:00 -0000 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/simple; d=mail.com; s=dbd5af2cbaf7; t=1550931707; bh=lZ6GLrOQmwvM1LVVi24H3SJrnl2srcBX2gCgrwm2mh8=; h=X-UI-Sender-Class:From:Subject:To:Date; b=sRwkuzziwowaV0Lkq/es2d7Bn+LGJ0f23VhGIi5XasDgANGZ776HdkqgPArvF0/DK VOnY1/O9iSRS03FEjCQPXfjyQ4z24E3ef+ls5K96yFAjAjs43uHME+D5CNhtb0VnHf C/5coOKOK3ePk+8Gjc1cbzBwN1vyfwPS4029Ls3Y= X-UI-Sender-Class: 214d933f-fd2f-45c7-a636-f5d79ae31a79 Content-Language: en-US X-Provags-ID: V03:K1:mwH/YJ/Ek9XfApu7lUWisWpetDJ/bSUZTvGL4pFGE1IQyeD3oMB P9KsbR0s034KggVzuG6uZnTt/jUTbvD0hVpeoGNDtHcMZRJOFhCzGzMw1psJAIzQ8TYyRZ1 DhZaCEBpG1bObug5WauIGy4U2CmAZsfOU+gevG+0Pl4nGA2uerFKC1SHq6loNcQsieuzqGX 8oPNvZIcm48+e2rxEDjxA== X-UI-Out-Filterresults: notjunk:1;V03:K0:a45ImHcAt28=:jG9+0Q0liZwfRUYoQhCnF7 rqjLwI5esYbWaoJgaHcq6yga/DYX3YfFNUIllrIcj948hMRvyAvoGxTzthDqeWU3B2lwIjlHB 93NMRz8mDCQn9+TCDJRynWvXzqmtoxuFUt93+OeFWDuEH0ZlJYCp8BcajFLW9MQlu2QlIv4q7 q9WMek4InMUbKfCIFPN5nQuDUG/dkEvoqYPzbUzeGiKf4qiAQUeaI/gItePnUgfW5AVAUfQI4 EOEThD/DwyRRld1SMdj1qqg13PNl0xcY0qOrVTarIOCTjAd4583WblB2Mjarz7xRV1qFvEKH8 Ib8G/1rXHQ6QO+WSdYEmAJJmSphxKZS9TNrhKDhUhC6aEm6Cud/vHAeP8QV9cMcsYaPY/kv7a G5QMOLIBadsfojqrJFbP5lkvW5wACsc048PA36mc9RIrTRJi2aGsPcZ5Cga/qu7IzcSuiMXI+ NRqg7nsvNvsgok01XTenidnxNBAtMHX3C2edtHUC58y7xyaWcniXwhnxkoYS0NaFAenA5b/+W doGRKhYsjv0T0/jZ/ScAFqYJpR7aapwNjZIUVgkyhaeMGMUei/Hf11LTsKnyN3C++mCznqcvF 6UdGHYSJsp9xx7S4z9WIoWqHNNvlo/rpWWYdCrXvou6JtcMjNNzF50q73/3dKp6v5oNd+cNk3 d+QlZlA8tdJS+XioQ5y6ZzhvNcJ3tUnyuI8eMz5Igzq6ZWpSg55dl7l5mgzrGockUVIXLr/5/ 48jqo0Y3Makj2IVRJwZ6vN7HWZJBdQKvvzpkSxTRtJOY8vweREyzy8YNemAcahiehsEEKH4E Xref: news.gmane.org gmane.linux.lib.musl.general:13847 Archived-At: Currently 'asin' uses the algorithm: arcsin(x) =3D=3D arctan(x/(sqrt((1-x)(1+x)))) If the following algorithm were to be used instead, an 'fadd' could be removed. arcsin(x) =3D=3D arctan(x/(sqrt(1-x**2))) current: fldx X(%esp) # %st(0) =3D x fld %st(0) # %st(1) =3D x # %st(0) =3D x fld1 # %st(2) =3D x # %st(1) =3D x # %st(0) =3D 1 # unixware bug fsub %st(0),%st(1) # %st(2) =3D x # %st(1) =3D 1-x # %st(0) =3D 1 fadd %st(2), %st(0) # %st(2) =3D x # %st(1) =3D 1-x # %st(0) =3D 1+x fmulp %st(0), %st(1) # %st(1) =3D x # %st(0) =3D 1-x**2 fsqrt # %st(1) =3D x # %st(0) =3D sqrt(1-x**2) fpatan # %st(0) =3D arcsin(x) ret new: fldx X(%esp) # %st(0) =3D x fld %st(0) # %st(1) =3D x # %st(0) =3D x fmul %st(0), %st(0) # %st(1) =3D x # %st(0) =3D x**2 fld1 # %st(2) =3D x # %st(1) =3D x**2 # %st(0) =3D 1 # unixware bug fsubp %st(0), %st(1) # %st(1) =3D x # %st(0) =3D 1-x**2 fsqrt # %st(1) =3D x # %st(0) =3D sqrt(1-x**2) fpatan # %st(0) =3D arcsin(x) ret affected files: math/i386/acos.s math/i386/asin.s math/x32/acosl.s math/x32/asinl.s math/x86_64/acosl.s math/x86_64/asinl.s Please CC me. =2D- Shane