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Diffstat (limited to 'lib/libm/common_source/atan.c')
-rw-r--r-- | lib/libm/common_source/atan.c | 87 |
1 files changed, 87 insertions, 0 deletions
diff --git a/lib/libm/common_source/atan.c b/lib/libm/common_source/atan.c new file mode 100644 index 0000000..f29c7d4 --- /dev/null +++ b/lib/libm/common_source/atan.c @@ -0,0 +1,87 @@ +/* + * 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)); +} |