From: Shane Seelig <stseelig@mail.com>
To: musl@lists.openwall.com
Subject: x87 asin and acos
Date: Sat, 23 Feb 2019 09:21:08 -0500 [thread overview]
Message-ID: <e5a4695c-2333-f496-88ab-51b2241696e6@mail.com> (raw)
Currently 'asin' uses the algorithm:
arcsin(x) == arctan(x/(sqrt((1-x)(1+x))))
If the following algorithm were to be used instead, an 'fadd' could be
removed.
arcsin(x) == arctan(x/(sqrt(1-x**2)))
current:
fldx X(%esp) # %st(0) = x
fld %st(0) # %st(1) = x
# %st(0) = x
fld1 # %st(2) = x
# %st(1) = x
# %st(0) = 1
# unixware bug
fsub %st(0),%st(1) # %st(2) = x
# %st(1) = 1-x
# %st(0) = 1
fadd %st(2), %st(0) # %st(2) = x
# %st(1) = 1-x
# %st(0) = 1+x
fmulp %st(0), %st(1) # %st(1) = x
# %st(0) = 1-x**2
fsqrt # %st(1) = x
# %st(0) = sqrt(1-x**2)
fpatan # %st(0) = arcsin(x)
ret
new:
fldx X(%esp) # %st(0) = x
fld %st(0) # %st(1) = x
# %st(0) = x
fmul %st(0), %st(0) # %st(1) = x
# %st(0) = x**2
fld1 # %st(2) = x
# %st(1) = x**2
# %st(0) = 1
# unixware bug
fsubp %st(0), %st(1) # %st(1) = x
# %st(0) = 1-x**2
fsqrt # %st(1) = x
# %st(0) = sqrt(1-x**2)
fpatan # %st(0) = 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.
--
Shane
next reply other threads:[~2019-02-23 14:21 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-02-23 14:21 Shane Seelig [this message]
2019-02-23 15:08 ` Rich Felker
2019-02-23 19:57 ` Rich Felker
2019-02-24 2:53 ` Damian McGuckin
2019-02-23 20:30 ` Szabolcs Nagy
2019-02-23 20:36 ` Szabolcs Nagy
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to=e5a4695c-2333-f496-88ab-51b2241696e6@mail.com \
--to=stseelig@mail.com \
--cc=musl@lists.openwall.com \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
Code repositories for project(s) associated with this public inbox
https://git.vuxu.org/mirror/musl/
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).