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Diffstat (limited to 'lib/libm/src/s_ccosf.c')
| -rw-r--r-- | lib/libm/src/s_ccosf.c | 84 |
1 files changed, 84 insertions, 0 deletions
diff --git a/lib/libm/src/s_ccosf.c b/lib/libm/src/s_ccosf.c new file mode 100644 index 00000000000..299e06b1276 --- /dev/null +++ b/lib/libm/src/s_ccosf.c @@ -0,0 +1,84 @@ +/* $OpenBSD: s_ccosf.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. + */ + +/* ccosf() + * + * Complex circular cosine + * + * + * + * SYNOPSIS: + * + * void ccosf(); + * cmplxf z, w; + * + * ccosf( &z, &w ); + * + * + * + * DESCRIPTION: + * + * If + * z = x + iy, + * + * then + * + * w = cos x cosh y - i sin x sinh y. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -10,+10 30000 1.8e-7 5.5e-8 + */ + +#include <complex.h> +#include <math.h> + +/* calculate cosh and sinh */ + +static void +_cchshf(float xx, float *c, float *s) +{ + float x, e, ei; + + x = xx; + if(fabsf(x) <= 0.5f) { + *c = coshf(x); + *s = sinhf(x); + } + else { + e = expf(x); + ei = 0.5f/e; + e = 0.5f * e; + *s = e - ei; + *c = e + ei; + } +} + +float complex +ccosf(float complex z) +{ + float complex w; + float ch, sh; + + _cchshf( cimag(z), &ch, &sh ); + w = cosf( creal(z) ) * ch + ( -sinf( creal(z) ) * sh) * I; + return (w); +} |
