| |
| /* @(#)s_tan.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. |
| * ==================================================== |
| */ |
| |
| |
| /* |
| |
| FUNCTION |
| <<tan>>, <<tanf>>---tangent |
| |
| INDEX |
| tan |
| INDEX |
| tanf |
| |
| ANSI_SYNOPSIS |
| #include <math.h> |
| double tan(double <[x]>); |
| float tanf(float <[x]>); |
| |
| TRAD_SYNOPSIS |
| #include <math.h> |
| double tan(<[x]>) |
| double <[x]>; |
| |
| float tanf(<[x]>) |
| float <[x]>; |
| |
| |
| DESCRIPTION |
| <<tan>> computes the tangent of the argument <[x]>. |
| Angles are specified in radians. |
| |
| <<tanf>> is identical, save that it takes and returns <<float>> values. |
| |
| RETURNS |
| The tangent of <[x]> is returned. |
| |
| PORTABILITY |
| <<tan>> is ANSI. <<tanf>> is an extension. |
| */ |
| |
| /* tan(x) |
| * Return tangent function of x. |
| * |
| * kernel function: |
| * __kernel_tan ... tangent function on [-pi/4,pi/4] |
| * __ieee754_rem_pio2 ... argument reduction routine |
| * |
| * Method. |
| * Let S,C and T denote the sin, cos and tan respectively on |
| * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 |
| * in [-pi/4 , +pi/4], and let n = k mod 4. |
| * We have |
| * |
| * n sin(x) cos(x) tan(x) |
| * ---------------------------------------------------------- |
| * 0 S C T |
| * 1 C -S -1/T |
| * 2 -S -C T |
| * 3 -C S -1/T |
| * ---------------------------------------------------------- |
| * |
| * Special cases: |
| * Let trig be any of sin, cos, or tan. |
| * trig(+-INF) is NaN, with signals; |
| * trig(NaN) is that NaN; |
| * |
| * Accuracy: |
| * TRIG(x) returns trig(x) nearly rounded |
| */ |
| |
| #include "fdlibm.h" |
| |
| #ifndef _DOUBLE_IS_32BITS |
| |
| #ifdef __STDC__ |
| double tan(double x) |
| #else |
| double tan(x) |
| double x; |
| #endif |
| { |
| double y[2],z=0.0; |
| int32_t n,ix; |
| |
| /* High word of x. */ |
| GET_HIGH_WORD(ix,x); |
| |
| /* |x| ~< pi/4 */ |
| ix &= 0x7fffffff; |
| if(ix <= 0x3fe921fb) return __kernel_tan(x,z,1); |
| |
| /* tan(Inf or NaN) is NaN */ |
| else if (ix>=0x7ff00000) return x-x; /* NaN */ |
| |
| /* argument reduction needed */ |
| else { |
| n = __ieee754_rem_pio2(x,y); |
| return __kernel_tan(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even |
| -1 -- n odd */ |
| } |
| } |
| |
| #endif /* _DOUBLE_IS_32BITS */ |
