text: /*	$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 <complex.h>
  #include <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);
  }
  