1/* k_sinf.c -- float version of k_sin.c 2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 * Optimized by Bruce D. Evans. 4 */ 5 6/* 7 * ==================================================== 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 9 * 10 * Developed at SunPro, a Sun Microsystems, Inc. business. 11 * Permission to use, copy, modify, and distribute this 12 * software is freely granted, provided that this notice 13 * is preserved. 14 * ==================================================== 15 */ 16
| 1/* k_sinf.c -- float version of k_sin.c 2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 * Optimized by Bruce D. Evans. 4 */ 5 6/* 7 * ==================================================== 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 9 * 10 * Developed at SunPro, a Sun Microsystems, Inc. business. 11 * Permission to use, copy, modify, and distribute this 12 * software is freely granted, provided that this notice 13 * is preserved. 14 * ==================================================== 15 */ 16
|
17#ifndef INLINE_KERNEL_SINF
| 17#ifndef INLINE_KERNEL_SINDF
|
18#ifndef lint
| 18#ifndef lint
|
19static char rcsid[] = "$FreeBSD: head/lib/msun/src/k_sinf.c 152647 2005-11-21 04:57:12Z bde $";
| 19static char rcsid[] = "$FreeBSD: head/lib/msun/src/k_sinf.c 152869 2005-11-28 04:58:57Z bde $";
|
20#endif 21#endif 22 23#include "math.h" 24#include "math_private.h" 25
| 20#endif 21#endif 22 23#include "math.h" 24#include "math_private.h" 25
|
26/* |sin(x)/x - s(x)| < 2**-32.5 (~[-1.57e-10, 1.572e-10]). */ 27static const float 28half = 0.5, 29S1 = -0xaaaaab.0p-26, /* -0.16666667163 */ 30S2 = 0x8888bb.0p-30, /* 0.0083333803341 */ 31S3 = -0xd02de1.0p-36, /* -0.00019853517006 */ 32S4 = 0xbe6dbe.0p-42; /* 0.0000028376084629 */
| 26/* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */ 27static const double 28S1 = -0x15555554cbac77.0p-55, /* -0.166666666416265235595 */ 29S2 = 0x111110896efbb2.0p-59, /* 0.0083333293858894631756 */ 30S3 = -0x1a00f9e2cae774.0p-65, /* -0.000198393348360966317347 */ 31S4 = 0x16cd878c3b46a7.0p-71; /* 0.0000027183114939898219064 */
|
33
| 32
|
34#ifdef INLINE_KERNEL_SINF
| 33#ifdef INLINE_KERNEL_SINDF
|
35extern inline 36#endif 37float
| 34extern inline 35#endif 36float
|
38__kernel_sinf(float x, float y, int iy)
| 37__kernel_sindf(double x)
|
39{
| 38{
|
40 float z,r,v;
| 39 double z,r,v;
|
41 42 z = x*x; 43 v = z*x; 44 r = S2+z*(S3+z*S4);
| 40 41 z = x*x; 42 v = z*x; 43 r = S2+z*(S3+z*S4);
|
45 if(iy==0) return x+v*(S1+z*r); 46 else return x-((z*(half*y-v*r)-y)-v*S1);
| 44 return x+v*(S1+z*r);
|
47}
| 45}
|