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+/*
+ * Copyright (c) 1987, 1993
+ * The 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 8.1 (Berkeley) 6/4/93";
+#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 */
+}