don't copyright the sed script
[unix-history] / usr / src / lib / libm / common / tan.c
/*
* Copyright (c) 1987 Regents of the University of California.
* All rights reserved.
*
* %sccs.include.redist.c%
*/
#ifndef lint
static char sccsid[] = "@(#)tan.c 5.5 (Berkeley) %G%";
#endif /* not lint */
#include "trig.h"
double
tan(x)
double x;
{
double a,z,ss,cc,c;
int k;
if(!finite(x)) /* tan(NaN) and tan(INF) must be NaN */
return x-x;
x = drem(x,PI); /* reduce x into [-PI/2, PI/2] */
a = copysign(x,one); /* ... = abs(x) */
if (a >= PIo4) {
k = 1;
x = copysign(PIo2-a,x);
}
else {
k = 0;
if (a < small) {
big+a;
return x;
}
}
z = x*x;
cc = cos__C(z);
ss = sin__S(z);
z *= half; /* Next get c = cos(x) accurately */
c = (z >= thresh ? half-((z-half)-cc) : one-(z-cc));
if (k == 0)
return x+(x*(z-(cc-ss)))/c; /* ... sin/cos */
#ifdef national
else if (x == zero)
return copysign(fmax,x); /* no inf on 32k */
#endif /* national */
else
return c/(x+x*ss); /* ... cos/sin */
}