mirror of
https://git.planet-casio.com/Lephenixnoir/OpenLibm.git
synced 2024-12-29 13:03:42 +01:00
7e5585aaca
This is a bit more consistent with the naming of the other header files (openlibm_complex.h and openlibm_fenv.h). Re-add an openlibm.h header that includes all of the public headers as a shorthand. Fix up all of the source files to include <openlibm_math.h> instead of <openlibm.h>. While there, fix ordering of the includes.
124 lines
2.5 KiB
C
124 lines
2.5 KiB
C
/* $OpenBSD: s_catanf.c,v 1.2 2010/07/18 18:42:26 guenther 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.
|
|
*/
|
|
|
|
/* catanf()
|
|
*
|
|
* Complex circular arc tangent
|
|
*
|
|
*
|
|
*
|
|
* SYNOPSIS:
|
|
*
|
|
* float complex catanf();
|
|
* float complex z, w;
|
|
*
|
|
* w = catanf( z );
|
|
*
|
|
*
|
|
*
|
|
* DESCRIPTION:
|
|
*
|
|
* If
|
|
* z = x + iy,
|
|
*
|
|
* then
|
|
* 1 ( 2x )
|
|
* Re w = - arctan(-----------) + k PI
|
|
* 2 ( 2 2)
|
|
* (1 - x - y )
|
|
*
|
|
* ( 2 2)
|
|
* 1 (x + (y+1) )
|
|
* Im w = - log(------------)
|
|
* 4 ( 2 2)
|
|
* (x + (y-1) )
|
|
*
|
|
* Where k is an arbitrary integer.
|
|
*
|
|
*
|
|
*
|
|
* ACCURACY:
|
|
*
|
|
* Relative error:
|
|
* arithmetic domain # trials peak rms
|
|
* IEEE -10,+10 30000 2.3e-6 5.2e-8
|
|
*
|
|
*/
|
|
|
|
#include <openlibm_complex.h>
|
|
#include <openlibm_math.h>
|
|
|
|
#define MAXNUMF 1.0e38F
|
|
|
|
static const double DP1 = 3.140625;
|
|
static const double DP2 = 9.67502593994140625E-4;
|
|
static const double DP3 = 1.509957990978376432E-7;
|
|
|
|
static float
|
|
_redupif(float xx)
|
|
{
|
|
float x, t;
|
|
long i;
|
|
|
|
x = xx;
|
|
t = x/(float)M_PI;
|
|
if(t >= 0.0)
|
|
t += 0.5;
|
|
else
|
|
t -= 0.5;
|
|
|
|
i = t; /* the multiple */
|
|
t = i;
|
|
t = ((x - t * DP1) - t * DP2) - t * DP3;
|
|
return(t);
|
|
}
|
|
|
|
float complex
|
|
catanf(float complex z)
|
|
{
|
|
float complex w;
|
|
float a, t, x, x2, y;
|
|
|
|
x = crealf(z);
|
|
y = cimagf(z);
|
|
|
|
if((x == 0.0f) && (y > 1.0f))
|
|
goto ovrf;
|
|
|
|
x2 = x * x;
|
|
a = 1.0f - x2 - (y * y);
|
|
if (a == 0.0f)
|
|
goto ovrf;
|
|
|
|
t = 0.5f * atan2f(2.0f * x, a);
|
|
w = _redupif(t);
|
|
|
|
t = y - 1.0f;
|
|
a = x2 + (t * t);
|
|
if(a == 0.0f)
|
|
goto ovrf;
|
|
|
|
t = y + 1.0f;
|
|
a = (x2 + (t * t))/a;
|
|
w = w + (0.25f * logf (a)) * I;
|
|
return (w);
|
|
|
|
ovrf:
|
|
/*mtherr( "catanf", OVERFLOW );*/
|
|
w = MAXNUMF + MAXNUMF * I;
|
|
return (w);
|
|
}
|