mirror of
git://sourceware.org/git/newlib-cygwin.git
synced 2025-02-04 05:20:26 +08:00
048ebea981
Rename s_nearbyint.c, s_fdim.c and s_scalbln.c to remove conflicts Remove functions that are not needed from above files Modify include paths Add includes missing in cygwin build Add missing types Create Makefiles Create header files to resolve dependencies between directories Modify some instances of unsigned long to uint64_t for 32 bit platforms Add HAVE_FPMATH_H
60 lines
1.9 KiB
C
60 lines
1.9 KiB
C
/* From: @(#)k_cos.c 1.3 95/01/18 */
|
|
/*
|
|
* ====================================================
|
|
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
|
* Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
|
|
*
|
|
* Developed at SunSoft, a Sun Microsystems, Inc. business.
|
|
* Permission to use, copy, modify, and distribute this
|
|
* software is freely granted, provided that this notice
|
|
* is preserved.
|
|
* ====================================================
|
|
*/
|
|
|
|
#include <sys/cdefs.h>
|
|
__FBSDID("$FreeBSD$");
|
|
|
|
/*
|
|
* ld128 version of k_cos.c. See ../src/k_cos.c for most comments.
|
|
*/
|
|
#include <math.h>
|
|
#include "../ld/math_private.h"
|
|
|
|
/*
|
|
* Domain [-0.7854, 0.7854], range ~[-1.17e-39, 1.19e-39]:
|
|
* |cos(x) - c(x))| < 2**-129.3
|
|
*
|
|
* 113-bit precision requires more care than 64-bit precision, since
|
|
* simple methods give a minimax polynomial with coefficient for x^2
|
|
* that is 1 ulp below 0.5, but we want it to be precisely 0.5. See
|
|
* ../ld80/k_cosl.c for more details.
|
|
*/
|
|
static const double
|
|
one = 1.0;
|
|
static const long double
|
|
C1 = 4.16666666666666666666666666666666667e-02L,
|
|
C2 = -1.38888888888888888888888888888888834e-03L,
|
|
C3 = 2.48015873015873015873015873015446795e-05L,
|
|
C4 = -2.75573192239858906525573190949988493e-07L,
|
|
C5 = 2.08767569878680989792098886701451072e-09L,
|
|
C6 = -1.14707455977297247136657111139971865e-11L,
|
|
C7 = 4.77947733238738518870113294139830239e-14L,
|
|
C8 = -1.56192069685858079920640872925306403e-16L,
|
|
C9 = 4.11031762320473354032038893429515732e-19L,
|
|
C10= -8.89679121027589608738005163931958096e-22L,
|
|
C11= 1.61171797801314301767074036661901531e-24L,
|
|
C12= -2.46748624357670948912574279501044295e-27L;
|
|
|
|
long double
|
|
__kernel_cosl(long double x, long double y)
|
|
{
|
|
long double hz,z,r,w;
|
|
|
|
z = x*x;
|
|
r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*(C7+
|
|
z*(C8+z*(C9+z*(C10+z*(C11+z*C12)))))))))));
|
|
hz = 0.5*z;
|
|
w = one-hz;
|
|
return w + (((one-w)-hz) + (z*r-x*y));
|
|
}
|