70 lines
1.7 KiB
C
70 lines
1.7 KiB
C
/* $OpenBSD: s_cexpl.c,v 1.2 2011/07/20 19:28:33 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.
|
|
*/
|
|
|
|
/* cexpl()
|
|
*
|
|
* Complex exponential function
|
|
*
|
|
*
|
|
*
|
|
* SYNOPSIS:
|
|
*
|
|
* long double complex cexpl();
|
|
* long double complex z, w;
|
|
*
|
|
* w = cexpl( z );
|
|
*
|
|
*
|
|
*
|
|
* DESCRIPTION:
|
|
*
|
|
* Returns the exponential of the complex argument z
|
|
* into the complex result w.
|
|
*
|
|
* If
|
|
* z = x + iy,
|
|
* r = exp(x),
|
|
*
|
|
* then
|
|
*
|
|
* w = r cos y + i r sin y.
|
|
*
|
|
*
|
|
* ACCURACY:
|
|
*
|
|
* Relative error:
|
|
* arithmetic domain # trials peak rms
|
|
* DEC -10,+10 8700 3.7e-17 1.1e-17
|
|
* IEEE -10,+10 30000 3.0e-16 8.7e-17
|
|
*
|
|
*/
|
|
|
|
#include <openlibm_complex.h>
|
|
#include <openlibm_math.h>
|
|
|
|
long double complex
|
|
cexpl(long double complex z)
|
|
{
|
|
long double complex w;
|
|
long double r;
|
|
|
|
r = expl(creall(z));
|
|
w = r * cosl(cimagl(z)) + (r * sinl(cimagl(z))) * I;
|
|
return (w);
|
|
}
|