gcc/libquadmath/math/cosq.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

83 lines
2.2 KiB
C

/* cosq.c -- __float128 version of s_cos.c.
* Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
/* cosq(x)
* Return cosine function of x.
*
* kernel function:
* __quadmath_kernel_sinq ... sine function on [-pi/4,pi/4]
* __quadmath_kernel_cosq ... cosine function on [-pi/4,pi/4]
* __quadmath_rem_pio2q ... argument reduction routine
*
* Method.
* Let S,C and T denote the sin, cos and tan respectively on
* [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
* in [-pi/4 , +pi/4], and let n = k mod 4.
* We have
*
* n sin(x) cos(x) tan(x)
* ----------------------------------------------------------
* 0 S C T
* 1 C -S -1/T
* 2 -S -C T
* 3 -C S -1/T
* ----------------------------------------------------------
*
* Special cases:
* Let trig be any of sin, cos, or tan.
* trig(+-INF) is NaN, with signals;
* trig(NaN) is that NaN;
*
* Accuracy:
* TRIG(x) returns trig(x) nearly rounded
*/
#include "quadmath-imp.h"
__float128
cosq (__float128 x)
{
__float128 y[2],z=0.0Q;
int64_t n, ix;
/* High word of x. */
GET_FLT128_MSW64(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffffffffffffLL;
if(ix <= 0x3ffe921fb54442d1LL)
return __quadmath_kernel_cosq(x,z);
/* cos(Inf or NaN) is NaN */
else if (ix>=0x7fff000000000000LL) {
if (ix == 0x7fff000000000000LL) {
GET_FLT128_LSW64(n,x);
}
return x-x;
}
/* argument reduction needed */
else {
n = __quadmath_rem_pio2q(x,y);
switch(n&3) {
case 0: return __quadmath_kernel_cosq(y[0],y[1]);
case 1: return -__quadmath_kernel_sinq(y[0],y[1],1);
case 2: return -__quadmath_kernel_cosq(y[0],y[1]);
default:
return __quadmath_kernel_sinq(y[0],y[1],1);
}
}
}