gcc/libquadmath/math/asinhq.c
Tobias Burnus f029f4be17 Makefile.am (libquadmath_la_SOURCES): Add new math/* files.
2012-11-01  Tobias Burnus  <burnus@net-b.de>

        * Makefile.am (libquadmath_la_SOURCES): Add new math/* files.
        * Makefile.in: Regenerated.
        * math/acoshq.c: Update comment.
        * math/acosq.c: Ditto.
        * math/asinhq.c: Ditto.
        * math/asinq.c: Ditto.
        * math/atan2q.c: Ditto.
        * math/atanhq.c: Ditto.
        * math/ceilq.c: Ditto.
        * math/copysignq.c: Ditto.
        * math/cosq.c: Ditto.
        * math/coshq.c: Ditto.
        * math/erfq.c: Ditto.
        * math/fabsq.c: Ditto.
        * math/finiteq.c: Ditto.
        * math/floorq.c: Ditto.
        * math/fmodq.c: Ditto.
        * math/frexpq.c: Ditto.
        * math/isnanq.c: Ditto.
        * math/j0q.c: Ditto.
        * math/j1q.c: Ditto.
        * math/ldexpq.c: Ditto.
        * math/llroundq.c: Ditto.
        * math/log10q.c: Ditto.
        * math/log1pq.c: Ditto.
        * math/log2q.c: Ditto.
        * math/logq.c: Ditto.
        * math/lroundq.c: Ditto.
        * math/modfq.c: Ditto.
        * math/nextafterq.c: Ditto.
        * math/powq.c: Ditto.
        * math/rem_pio2q.c: Ditto.
        * math/remainderq.c: Ditto.
        * math/rintq.c: Ditto.
        * math/roundq.c: Ditto.
        * math/scalblnq.c: Ditto.
        * math/scalbnq.c: Ditto.
        * math/sincosq_kernel.c: Ditto.
        * math/sinq.c: Ditto.
        * math/tanq.c: Ditto.
        * math/expq.c: Ditto.
        (__expq_table, expq): Renamed local array from __expl_table.
        * math/cosq_kernel.c (__quadmath_kernel_cosq): Fix sign
        * handling.
        * math/cacoshq.c: Changes from GLIBC; fix returned sign.
        * math/casinhq.c: Changes from GLIBC to fix special-case.
        * math/cbrtq.c: Use modified GLIBC version.
        * math/complex.c (ccoshd, cexpq, clog10q, clogq, csinhq, csinq,
        ctanhq, ctanq): Moved to separates files.
        (mult_c128, div_c128): Removed no longer needed functions.
        (cexpiq): Call sincosq instead of sinq and cosq.
        (cosq): Call cosh(-re,im) instead of cosq/sinq/sinh/cosh.
        * math/ccoshq.c (ccoshq): New file, moved from complex.c and
        modified based on GLIBC.
        * math/cexpq.c (cexp): Ditto.
        * math/clog10q.c (clog10q): Ditto.
        * math/clogq.c (clogq): Ditto.
        * math/csinhq.c: Ditto.
        * math/csinq.c: Ditto.
        * math/csqrtq.c: Ditto.
        * math/ctanhq.c: Ditto.
        * math/ctanq.c: Ditto.
        * math/fmaq.c (fmaq): Port TININESS_AFTER_ROUNDING handling
        from GLIBC.
        * math/ilogbq.c (ilogbq): Add errno = EDOM handling.
        * math/isinf_nsq.c (__quadmath_isinf_nsq): New file, ported
        from GLIBC.
        * math/lgammaq.c (lgammaq): Add signgam handling.
        * math/sinhq.c (sinhq): Fix sign handling.
        * math/sinq_kernel.c (__quadmath_kernel_sinq): Ditto.
        * math/tgammaq.c (tgammaq): Ditto.
        * math/x2y2m1q.c: New file.
        * quadmath-imp.h (TININESS_AFTER_ROUNDING): New define.
        (__quadmath_x2y2m1q, __quadmath_isinf_nsq): New prototypes.

From-SVN: r193063
2012-11-01 17:14:42 +01:00

72 lines
1.8 KiB
C

/* asinhq.c -- __float128 version of s_asinh.c.
* Conversion to long double by Ulrich Drepper,
* Cygnus Support, drepper@cygnus.com.
*/
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/* asinhl(x)
* Method :
* Based on
* asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ]
* we have
* asinhl(x) := x if 1+x*x=1,
* := signl(x)*(logl(x)+ln2)) for large |x|, else
* := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else
* := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2)))
*/
#include "quadmath-imp.h"
static const __float128
one = 1.0Q,
ln2 = 6.931471805599453094172321214581765681e-1Q,
huge = 1.0e+4900Q;
__float128
asinhq (__float128 x)
{
__float128 t, w;
int32_t ix, sign;
ieee854_float128 u;
u.value = x;
sign = u.words32.w0;
ix = sign & 0x7fffffff;
if (ix == 0x7fff0000)
return x + x; /* x is inf or NaN */
if (ix < 0x3fc70000)
{ /* |x| < 2^ -56 */
if (huge + x > one)
return x; /* return x inexact except 0 */
}
u.words32.w0 = ix;
if (ix > 0x40350000)
{ /* |x| > 2 ^ 54 */
w = logq (u.value) + ln2;
}
else if (ix >0x40000000)
{ /* 2^ 54 > |x| > 2.0 */
t = u.value;
w = logq (2.0 * t + one / (sqrtq (x * x + one) + t));
}
else
{ /* 2.0 > |x| > 2 ^ -56 */
t = x * x;
w = log1pq (u.value + t / (one + sqrtq (one + t)));
}
if (sign & 0x80000000)
return -w;
else
return w;
}