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+/*
+ * Copyright (c) 1985, 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[] = "@(#)atan.c 8.1 (Berkeley) 6/4/93";
+#endif /* not lint */
+
+/* ATAN(X)
+ * RETURNS ARC TANGENT OF X
+ * DOUBLE PRECISION (IEEE DOUBLE 53 bits, VAX D FORMAT 56 bits)
+ * CODED IN C BY K.C. NG, 4/16/85, REVISED ON 6/10/85.
+ *
+ * Required kernel function:
+ * atan2(y,x)
+ *
+ * Method:
+ * atan(x) = atan2(x,1.0).
+ *
+ * Special case:
+ * if x is NaN, return x itself.
+ *
+ * Accuracy:
+ * 1) If atan2() uses machine PI, then
+ *
+ * atan(x) returns (PI/pi) * (the exact arc tangent of x) nearly rounded;
+ * and PI is the exact pi rounded to machine precision (see atan2 for
+ * details):
+ *
+ * in decimal:
+ * pi = 3.141592653589793 23846264338327 .....
+ * 53 bits PI = 3.141592653589793 115997963 ..... ,
+ * 56 bits PI = 3.141592653589793 227020265 ..... ,
+ *
+ * in hexadecimal:
+ * pi = 3.243F6A8885A308D313198A2E....
+ * 53 bits PI = 3.243F6A8885A30 = 2 * 1.921FB54442D18 error=.276ulps
+ * 56 bits PI = 3.243F6A8885A308 = 4 * .C90FDAA22168C2 error=.206ulps
+ *
+ * In a test run with more than 200,000 random arguments on a VAX, the
+ * maximum observed error in ulps (units in the last place) was
+ * 0.86 ulps. (comparing against (PI/pi)*(exact atan(x))).
+ *
+ * 2) If atan2() uses true pi, then
+ *
+ * atan(x) returns the exact atan(x) with error below about 2 ulps.
+ *
+ * In a test run with more than 1,024,000 random arguments on a VAX, the
+ * maximum observed error in ulps (units in the last place) was
+ * 0.85 ulps.
+ */
+
+double atan(x)
+double x;
+{
+ double atan2(),one=1.0;
+ return(atan2(x,one));
+}
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