usr/src/lib/libm/common/tan.c

/*
 * Copyright (c) 1987 Regents of the University of California.
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 3. All advertising materials mentioning features or use of this software
 *    must display the following acknowledgement:
 *      This product includes software developed by the University of
 *      California, Berkeley and its contributors.
 * 4. Neither the name of the University nor the names of its contributors
 *    may be used to endorse or promote products derived from this software
 *    without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */

#ifndef lint
static char sccsid[] = "@(#)tan.c       5.5 (Berkeley) 10/9/90";
#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 */
}