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Diffstat (limited to 'lib/libm/src/s_ctanh.c')
| -rw-r--r-- | lib/libm/src/s_ctanh.c | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/lib/libm/src/s_ctanh.c b/lib/libm/src/s_ctanh.c new file mode 100644 index 00000000000..30c20155672 --- /dev/null +++ b/lib/libm/src/s_ctanh.c @@ -0,0 +1,59 @@ +/* $OpenBSD: s_ctanh.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. + */ + +/* ctanh + * + * Complex hyperbolic tangent + * + * + * + * SYNOPSIS: + * + * double complex ctanh(); + * double complex z, w; + * + * w = ctanh (z); + * + * + * + * DESCRIPTION: + * + * tanh z = (sinh 2x + i sin 2y) / (cosh 2x + cos 2y) . + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -10,+10 30000 1.7e-14 2.4e-16 + * + */ + +#include <complex.h> +#include <math.h> + +double complex +ctanh(double complex z) +{ + double complex w; + double x, y, d; + + x = creal(z); + y = cimag(z); + d = cosh (2.0 * x) + cos (2.0 * y); + w = sinh (2.0 * x) / d + (sin (2.0 * y) / d) * I; + return (w); +} |
