1 /* @(#)s_tan.c 5.1 93/09/24 */
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this
8 * software is freely granted, provided that this notice
10 * ====================================================
13 #include <sys/cdefs.h>
14 __FBSDID("$FreeBSD$");
17 * Return tangent function of x.
20 * __kernel_tan ... tangent function on [-pi/4,pi/4]
21 * __ieee754_rem_pio2 ... argument reduction routine
24 * Let S,C and T denote the sin, cos and tan respectively on
25 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
26 * in [-pi/4 , +pi/4], and let n = k mod 4.
29 * n sin(x) cos(x) tan(x)
30 * ----------------------------------------------------------
35 * ----------------------------------------------------------
38 * Let trig be any of sin, cos, or tan.
39 * trig(+-INF) is NaN, with signals;
40 * trig(NaN) is that NaN;
43 * TRIG(x) returns trig(x) nearly rounded
49 #define INLINE_REM_PIO2
50 #include "math_private.h"
51 #include "e_rem_pio2.c"
64 if(ix <= 0x3fe921fb) {
65 if(ix<0x3e300000) /* x < 2**-28 */
66 if((int)x==0) return x; /* generate inexact */
67 return __kernel_tan(x,z,1);
70 /* tan(Inf or NaN) is NaN */
71 else if (ix>=0x7ff00000) return x-x; /* NaN */
73 /* argument reduction needed */
75 n = __ieee754_rem_pio2(x,y);
76 return __kernel_tan(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
81 #if (LDBL_MANT_DIG == 53)
82 __weak_reference(tan, tanl);