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gcc/libjava/java/lang/k_sin.c
Tom Tromey 0d16618c58 [multiple changes]
Fri May 28 22:20:03 1999  Anthony Green  <green@cygnus.com>
	* java/lang/fdlibm.h: Don't use __uint32_t.  Include mprec.h.
	* java/lang/e_log.c: Don't use __uint32_t.
1999-05-27  Eric Christopher <echristo@cygnus.com>
	* configure: Rebuilt
	* configure.in: Fixed ISO C9X and namespace collision with __uint32_t
	* acconfig.h: Rebuilt
	* include/config.h.in: Rebuilt
	* java/lang/mprec.h, java/lang/e_acos.c, java/lang/e_asin.c,
 	java/lang/e_atan2.c, java/lang/e_exp.c, java/lang/e_fmod.c,
 	e_log.c, java/lang/e_pow.c, java/lang/e_rem_pio2.c,
 	java/lang/e_remainder.c, java/lang/e_sqrt.c, java/lang/fdlibm.h,
 	k_tan.c, java/lang/mprec.h, java/lang/s_atan.c,
 	java/lang/s_ceil.c, java/lang/s_copysign.c, java/lang/s_fabs.c,
 	s_floor.c, java/lang/s_rint.c, java/lang/sf_rint.c: Fixed ISO C9X
 	and namespace collision with __uint32_t

From-SVN: r27729
1999-06-24 20:06:09 +00:00

80 lines
2.4 KiB
C

/* @(#)k_sin.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/* __kernel_sin( x, y, iy)
* kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854
* Input x is assumed to be bounded by ~pi/4 in magnitude.
* Input y is the tail of x.
* Input iy indicates whether y is 0. (if iy=0, y assume to be 0).
*
* Algorithm
* 1. Since sin(-x) = -sin(x), we need only to consider positive x.
* 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0.
* 3. sin(x) is approximated by a polynomial of degree 13 on
* [0,pi/4]
* 3 13
* sin(x) ~ x + S1*x + ... + S6*x
* where
*
* |sin(x) 2 4 6 8 10 12 | -58
* |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
* | x |
*
* 4. sin(x+y) = sin(x) + sin'(x')*y
* ~ sin(x) + (1-x*x/2)*y
* For better accuracy, let
* 3 2 2 2 2
* r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6))))
* then 3 2
* sin(x) = x + (S1*x + (x *(r-y/2)+y))
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
static const double
#else
static double
#endif
half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
#ifdef __STDC__
double __kernel_sin(double x, double y, int iy)
#else
double __kernel_sin(x, y, iy)
double x,y; int iy; /* iy=0 if y is zero */
#endif
{
double z,r,v;
int32_t ix;
GET_HIGH_WORD(ix,x);
ix &= 0x7fffffff; /* high word of x */
if(ix<0x3e400000) /* |x| < 2**-27 */
{if((int)x==0) return x;} /* generate inexact */
z = x*x;
v = z*x;
r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
if(iy==0) return x+v*(S1+z*r);
else return x-((z*(half*y-v*r)-y)-v*S1);
}
#endif /* defined(_DOUBLE_IS_32BITS) */