gcc/libquadmath/math/atanhq.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

67 lines
1.7 KiB
C

/* s_atanhl.c -- __float128 version of s_atan.c.
* Conversion to __float128 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.
* ====================================================
*/
/* atanhq(x)
* Method :
* 1.Reduced x to positive by atanh(-x) = -atanh(x)
* 2.For x>=0.5
* 1 2x x
* atanhl(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
* 2 1 - x 1 - x
*
* For x<0.5
* atanhl(x) = 0.5*log1pl(2x+2x*x/(1-x))
*
* Special cases:
* atanhl(x) is NaN if |x| > 1 with signal;
* atanhl(NaN) is that NaN with no signal;
* atanhl(+-1) is +-INF with signal.
*
*/
#include "quadmath-imp.h"
static const __float128 one = 1.0Q, huge = 1e4900Q;
static const __float128 zero = 0.0Q;
__float128
atanhq (__float128 x)
{
__float128 t;
uint32_t jx, ix;
ieee854_float128 u;
u.value = x;
jx = u.words32.w0;
ix = jx & 0x7fffffff;
u.words32.w0 = ix;
if (ix >= 0x3fff0000) /* |x| >= 1.0 or infinity or NaN */
{
if (u.value == one)
return x/zero;
else
return (x-x)/(x-x);
}
if(ix<0x3fc60000 && (huge+x)>zero) return x; /* x < 2^-57 */
if(ix<0x3ffe0000) { /* x < 0.5 */
t = u.value+u.value;
t = 0.5*log1pq(t+t*u.value/(one-u.value));
} else
t = 0.5*log1pq((u.value+u.value)/(one-u.value));
if(jx & 0x80000000) return -t; else return t;
}