diff options
Diffstat (limited to 'lib/libm/noieee_src/n_csin.c')
-rw-r--r-- | lib/libm/noieee_src/n_csin.c | 86 |
1 files changed, 86 insertions, 0 deletions
diff --git a/lib/libm/noieee_src/n_csin.c b/lib/libm/noieee_src/n_csin.c new file mode 100644 index 00000000000..017f6d6068b --- /dev/null +++ b/lib/libm/noieee_src/n_csin.c @@ -0,0 +1,86 @@ +/* $OpenBSD: n_csin.c,v 1.1 2008/10/07 22:25:53 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. + */ + +/* csin() + * + * Complex circular sine + * + * + * + * SYNOPSIS: + * + * double complex csin(); + * double complex z, w; + * + * w = csin (z); + * + * + * + * DESCRIPTION: + * + * If + * z = x + iy, + * + * then + * + * w = sin x cosh y + i cos x sinh y. + * + * csin(z) = -i csinh(iz). + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * DEC -10,+10 8400 5.3e-17 1.3e-17 + * IEEE -10,+10 30000 3.8e-16 1.0e-16 + * Also tested by csin(casin(z)) = z. + * + */ + +#include <complex.h> +#include <math.h> + +/* calculate cosh and sinh */ + +static void +cchsh(double x, double *c, double *s) +{ + double e, ei; + + if (fabs(x) <= 0.5) { + *c = cosh(x); + *s = sinh(x); + } + else { + e = exp(x); + ei = 0.5/e; + e = 0.5 * e; + *s = e - ei; + *c = e + ei; + } +} + +double complex +csin(double complex z) +{ + double complex w; + double ch, sh; + + cchsh( cimag (z), &ch, &sh ); + w = sin (creal(z)) * ch + (cos (creal(z)) * sh) * I; + return (w); +} |