diff options
Diffstat (limited to 'lib/libm/src/s_clog.c')
| -rw-r--r-- | lib/libm/src/s_clog.c | 72 |
1 files changed, 72 insertions, 0 deletions
diff --git a/lib/libm/src/s_clog.c b/lib/libm/src/s_clog.c new file mode 100644 index 00000000000..31163700607 --- /dev/null +++ b/lib/libm/src/s_clog.c @@ -0,0 +1,72 @@ +/* $OpenBSD: s_clog.c,v 1.1 2008/09/07 20:36:09 martynas Exp $ */ +/* + * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ + +/* clog.c + * + * Complex natural logarithm + * + * + * + * SYNOPSIS: + * + * double complex clog(); + * double complex z, w; + * + * w = clog (z); + * + * + * + * DESCRIPTION: + * + * Returns complex logarithm to the base e (2.718...) of + * the complex argument x. + * + * If z = x + iy, r = sqrt( x**2 + y**2 ), + * then + * w = log(r) + i arctan(y/x). + * + * The arctangent ranges from -PI to +PI. + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * DEC -10,+10 7000 8.5e-17 1.9e-17 + * IEEE -10,+10 30000 5.0e-15 1.1e-16 + * + * Larger relative error can be observed for z near 1 +i0. + * In IEEE arithmetic the peak absolute error is 5.2e-16, rms + * absolute error 1.0e-16. + */ + +#include <complex.h> +#include <math.h> + +double complex +clog(double complex z) +{ + double complex w; + double p, rr; + + /*rr = sqrt( z->r * z->r + z->i * z->i );*/ + rr = cabs(z); + p = log(rr); + rr = atan2 (cimag (z), creal (z)); + w = p + rr * I; + return (w); +} |
