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Diffstat (limited to 'libm/s_tan.c')
| -rw-r--r-- | libm/s_tan.c | 76 | 
1 files changed, 76 insertions, 0 deletions
diff --git a/libm/s_tan.c b/libm/s_tan.c new file mode 100644 index 000000000..7c72bf234 --- /dev/null +++ b/libm/s_tan.c @@ -0,0 +1,76 @@ +/* @(#)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. + * ==================================================== + */ + +#if defined(LIBM_SCCS) && !defined(lint) +static char rcsid[] = "$NetBSD: s_tan.c,v 1.7 1995/05/10 20:48:18 jtc Exp $"; +#endif + +/* 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 "math.h" +#include "math_private.h" + +#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 */ +	} +}  | 
