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https://git.planet-casio.com/Lephenixnoir/OpenLibm.git
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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.
132 lines
2.6 KiB
C
132 lines
2.6 KiB
C
/* $OpenBSD: s_casinf.c,v 1.3 2011/07/20 19:28:33 martynas Exp $ */
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/*
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* Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
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*
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* Permission to use, copy, modify, and distribute this software for any
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* purpose with or without fee is hereby granted, provided that the above
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* copyright notice and this permission notice appear in all copies.
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*
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* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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*/
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/* casinf()
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*
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* Complex circular arc sine
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*
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*
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*
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* SYNOPSIS:
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*
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* void casinf();
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* cmplxf z, w;
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*
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* casinf( &z, &w );
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*
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*
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*
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* DESCRIPTION:
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*
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* Inverse complex sine:
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*
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* 2
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* w = -i clog( iz + csqrt( 1 - z ) ).
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*
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*
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* ACCURACY:
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*
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* Relative error:
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* arithmetic domain # trials peak rms
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* IEEE -10,+10 30000 1.1e-5 1.5e-6
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* Larger relative error can be observed for z near zero.
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*
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*/
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#include <openlibm_complex.h>
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#include <openlibm_math.h>
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float complex
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casinf(float complex z)
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{
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float complex w;
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float x, y;
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static float complex ca, ct, zz, z2;
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/*
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float cn, n;
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static float a, b, s, t, u, v, y2;
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static cmplxf sum;
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*/
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x = crealf(z);
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y = cimagf(z);
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if(y == 0.0f) {
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if(fabsf(x) > 1.0f) {
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w = (float)M_PI_2 + 0.0f * I;
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/*mtherr( "casinf", DOMAIN );*/
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}
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else {
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w = asinf (x) + 0.0f * I;
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}
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return (w);
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}
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/* Power series expansion */
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/*
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b = cabsf(z);
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if(b < 0.125) {
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z2.r = (x - y) * (x + y);
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z2.i = 2.0 * x * y;
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cn = 1.0;
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n = 1.0;
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ca.r = x;
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ca.i = y;
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sum.r = x;
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sum.i = y;
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do {
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ct.r = z2.r * ca.r - z2.i * ca.i;
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ct.i = z2.r * ca.i + z2.i * ca.r;
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ca.r = ct.r;
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ca.i = ct.i;
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cn *= n;
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n += 1.0;
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cn /= n;
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n += 1.0;
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b = cn/n;
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ct.r *= b;
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ct.i *= b;
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sum.r += ct.r;
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sum.i += ct.i;
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b = fabsf(ct.r) + fabsf(ct.i);
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}
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while(b > MACHEPF);
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w->r = sum.r;
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w->i = sum.i;
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return;
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}
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*/
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ca = x + y * I;
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ct = ca * I; /* iz */
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/* sqrt( 1 - z*z) */
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/* cmul( &ca, &ca, &zz ) */
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/*x * x - y * y */
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zz = (x - y) * (x + y) + (2.0f * x * y) * I;
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zz = 1.0f - crealf(zz) - cimagf(zz) * I;
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z2 = csqrtf (zz);
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zz = ct + z2;
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zz = clogf (zz);
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/* multiply by 1/i = -i */
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w = zz * (-1.0f * I);
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return (w);
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}
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