1 /* s_sinl.c -- long double version of s_sin.c.
2 * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
13 * ====================================================
22 * Return sine function of x.
25 * __kernel_sinl ... sine function on [-pi/4,pi/4]
26 * __kernel_cosl ... cose function on [-pi/4,pi/4]
27 * __ieee754_rem_pio2l ... argument reduction routine
30 * Let S,C and T denote the sin, cos and tan respectively on
31 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
32 * in [-pi/4 , +pi/4], and let n = k mod 4.
35 * n sin(x) cos(x) tan(x)
36 * ----------------------------------------------------------
41 * ----------------------------------------------------------
44 * Let trig be any of sin, cos, or tan.
45 * trig(+-INF) is NaN, with signals;
46 * trig(NaN) is that NaN;
49 * TRIG(x) returns trig(x) nearly rounded
57 long double y[2], z = 0.0L;
60 /* sinl(NaN) is NaN */
65 if (x >= -0.7853981633974483096156608458198757210492
66 && x <= 0.7853981633974483096156608458198757210492)
67 return kernel_sinl (x, z, 0);
69 /* sinl(Inf) is NaN, sinl(0) is 0 */
71 return x - x; /* NaN */
73 /* argument reduction needed */
76 n = ieee754_rem_pio2l (x, y);
80 return kernel_sinl (y[0], y[1], 1);
82 return kernel_cosl (y[0], y[1]);
84 return -kernel_sinl (y[0], y[1], 1);
86 return -kernel_cosl (y[0], y[1]);
95 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492));
96 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *29));
97 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *2));
98 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *30));
99 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *4));
100 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *32));
101 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *2/3));
102 printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *4/3));