1 /* s_cosl.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 * ====================================================
21 #if HAVE_SAME_LONG_DOUBLE_AS_DOUBLE
32 * Return sine function of x.
35 * __kernel_sinl ... sine function on [-pi/4,pi/4]
36 * __kernel_cosl ... cose function on [-pi/4,pi/4]
37 * __ieee754_rem_pio2l ... argument reduction routine
40 * Let S,C and T denote the sin, cos and tan respectively on
41 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
42 * in [-pi/4 , +pi/4], and let n = k mod 4.
45 * n sin(x) cos(x) tan(x)
46 * ----------------------------------------------------------
51 * ----------------------------------------------------------
54 * Let trig be any of sin, cos, or tan.
55 * trig(+-INF) is NaN, with signals;
56 * trig(NaN) is that NaN;
59 * TRIG(x) returns trig(x) nearly rounded
67 long double y[2],z=0.0L;
70 /* cosl(NaN) is NaN */
75 if (x >= -0.7853981633974483096156608458198757210492
76 && x <= 0.7853981633974483096156608458198757210492)
77 return kernel_cosl(x, z);
79 /* cosl(Inf) is NaN, cosl(0) is 1 */
80 else if (x + x == x && x != 0.0)
81 return x - x; /* NaN */
83 /* argument reduction needed */
86 n = ieee754_rem_pio2l (x, y);
90 return kernel_cosl (y[0], y[1]);
92 return -kernel_sinl (y[0], y[1], 1);
94 return -kernel_cosl (y[0], y[1]);
96 return kernel_sinl (y[0], y[1], 1);
107 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492));
108 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *29));
109 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *2));
110 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *30));
111 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *4));
112 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *32));
113 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *2/3));
114 printf ("%.16Lg\n", cosl (0.7853981633974483096156608458198757210492 *4/3));