text: /*
   * Copyright (c) 2014-2015 Texas Instruments Incorporated
   *
   * 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.
   */
  
  /*							cpowf
   *
   *	Complex power function
   *
   *
   *
   * SYNOPSIS:
   *
   * float complex cpowf();
   * float complex a, z, w;
   *
   * w = cpowf (a, z);
   *
   *
   *
   * DESCRIPTION:
   *
   * Raises complex A to the complex Zth power.
   * Definition is per AMS55 # 4.2.8,
   * analytically equivalent to cpow(a,z) = cexp(z clog(a)).
   *
   * ACCURACY:
   *
   *                      Relative error:
   * arithmetic   domain     # trials      peak         rms
   *    IEEE      -10,+10     30000       9.4e-15     1.5e-15
   *
   */
  
  #include <complex.h>
  #include <float.h>
  #include <math.h>
  
  #if FLT_MANT_DIG != DBL_MANT_DIG
  float complex
  cpowf(float complex a, float complex z)
  {
  	float complex w;
  	float x, y, r, theta, absa, arga;
  
  	x = crealf(z);
  	y = cimagf(z);
  	absa = cabsf (a);
  	if (absa == 0.0f) {
  		return (0.0f + 0.0f * I);
  	}
  	arga = cargf (a);
  	r = powf (absa, x);
  	theta = x * arga;
  	if (y != 0.0f) {
  		r = r * expf (-y * arga);
  		theta = theta + y * logf (absa);
  	}
  	w = r * cosf (theta) + (r * sinf (theta)) * I;
  	return (w);
  }
  #endif
  