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Date:      Sun, 12 Aug 2012 22:37:22 -0000
From:      Steve Kargl <sgk@troutmask.apl.washington.edu>
To:        Stephen Montgomery-Smith <stephen@missouri.edu>
Cc:        Diane Bruce <db@db.net>, John Baldwin <jhb@freebsd.org>, David Chisnall <theraven@freebsd.org>, Bruce Evans <bde@freebsd.org>, Bruce Evans <brde@optusnet.com.au>, David Schultz <das@freebsd.org>, Peter Jeremy <peter@rulingia.com>, Warner Losh <imp@bsdimp.com>
Subject:   Re: Use of C99 extra long double math functions after r236148
Message-ID:  <20120717040118.GA86840@troutmask.apl.washington.edu>
Resent-Message-ID: <20120812223715.GC20453@server.rulingia.com>
In-Reply-To: <5004DEA9.1050001@missouri.edu>
References:  <20120711223247.GA9964@troutmask.apl.washington.edu> <20120713114100.GB83006@server.rulingia.com> <201207130818.38535.jhb@freebsd.org> <9EB2DA4F-19D7-4BA5-8811-D9451CB1D907@theravensnest.org> <C527B388-3537-406F-BA6D-2FA45B9EAA3B@FreeBSD.org> <20120713155805.GC81965@zim.MIT.EDU> <20120714120432.GA70706@server.rulingia.com> <20120717084457.U3890@besplex.bde.org> <5004A5C7.1040405@missouri.edu> <5004DEA9.1050001@missouri.edu>

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On Mon, Jul 16, 2012 at 10:40:25PM -0500, Stephen Montgomery-Smith wrote:
> 
> I came up with pseudo code that looks a bit like this.
> 
> complex casinh(complex z) {
>   double x = z.re, y = z.im;
> 
>   if (y==0)
>     return asinh(x);
>   if (x==0) {
>     if (fabs(y)<=1) return I*asin(y);
>     else return signum(y)* (
>       log(fabs(y)+sqrt(y*y-1))
>       + I*PI/2);

Stop.  Please see msun/src/math_private.h. You cannot
use I in any expression.  gcc in base and clang do not
do the arithmetic correctly.  See msun/src/s_ccosh.c
for how one might approach writing these functions.
Also, consult n1256.pdf for x,y = +-0, +-inf, nan. 
There are specific requirements that must be met.

-- 
Steve



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