opnsense-src/lib/msun/src/s_cpowf.c
Dimitry Andric 5a4c3b831b Recommit r336497: Fix powl, cpow, cpowf, and cpowl imports from OpenBSD
This is a follow-up to r336299.

* lib/msun/Makefile:
  . Remove polevll.c

* lib/msun/ld80/e_powl.c:
  . Copy contents of polevll.c to here.  This is the only consumer of
    these functions.  Make functions 'static inline'.
  . Make reducl a 'static inline' function.

* lib/msun/man/exp.3:
  . Remove BUGS section that no longer applies.

* lib/msun/src/math_private.h:
  . Remove prototypes of __p1evll() and __polevll()

* lib/msun/src/s_cpow.c:
* lib/msun/src/s_cpowf.c:
* lib/msun/src/s_cpowl.c
  . Include math_private.h.
  . Use the CMPLX macro from either C99 or math_private.h (depends on
    compiler support) instead of the problematic use of complex I.

Submitted by:	Steve Kargl <sgk@troutmask.apl.washington.edu>
PR:		229876
MFC after:	1 week
2018-07-20 18:27:30 +00:00

74 lines
1.8 KiB
C

/*-
* 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 <sys/cdefs.h>
__FBSDID("$FreeBSD$");
#include <complex.h>
#include <math.h>
#include "math_private.h"
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 (CMPLXF(0.0f, 0.0f));
}
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 = CMPLXF(r * cosf (theta), r * sinf (theta));
return (w);
}