115 lines
3.3 KiB
C
115 lines
3.3 KiB
C
/* $NetBSD: n_sincos.c,v 1.5 2002/06/23 21:54:37 matt Exp $ */
|
|
/*
|
|
* Copyright (c) 1987, 1993
|
|
* The Regents of the University of California. All rights reserved.
|
|
*
|
|
* Redistribution and use in source and binary forms, with or without
|
|
* modification, are permitted provided that the following conditions
|
|
* are met:
|
|
* 1. Redistributions of source code must retain the above copyright
|
|
* notice, this list of conditions and the following disclaimer.
|
|
* 2. Redistributions in binary form must reproduce the above copyright
|
|
* notice, this list of conditions and the following disclaimer in the
|
|
* documentation and/or other materials provided with the distribution.
|
|
* 3. All advertising materials mentioning features or use of this software
|
|
* must display the following acknowledgement:
|
|
* This product includes software developed by the University of
|
|
* California, Berkeley and its contributors.
|
|
* 4. Neither the name of the University nor the names of its contributors
|
|
* may be used to endorse or promote products derived from this software
|
|
* without specific prior written permission.
|
|
*
|
|
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
|
|
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
|
|
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
|
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
|
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
|
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
|
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
|
* SUCH DAMAGE.
|
|
*/
|
|
|
|
#ifndef lint
|
|
#if 0
|
|
static char sccsid[] = "@(#)sincos.c 8.1 (Berkeley) 6/4/93";
|
|
#endif
|
|
#endif /* not lint */
|
|
|
|
#define _LIBM_DECLARE
|
|
#include "mathimpl.h"
|
|
#include "trig.h"
|
|
|
|
double
|
|
sin(double x)
|
|
{
|
|
double a,c,z;
|
|
|
|
if(!finite(x)) /* sin(NaN) and sin(INF) must be NaN */
|
|
return x-x;
|
|
x=drem(x,PI2); /* reduce x into [-PI,PI] */
|
|
a=copysign(x,__one);
|
|
if (a >= PIo4) {
|
|
if(a >= PI3o4) /* ... in [3PI/4,PI] */
|
|
x = copysign((a = PI-a),x);
|
|
else { /* ... in [PI/4,3PI/4] */
|
|
a = PIo2-a; /* rtn. sign(x)*C(PI/2-|x|) */
|
|
z = a*a;
|
|
c = cos__C(z);
|
|
z *= __half;
|
|
a = (z >= thresh ? __half-((z-__half)-c) : __one-(z-c));
|
|
return copysign(a,x);
|
|
}
|
|
}
|
|
|
|
if (a < __small) { /* rtn. S(x) */
|
|
z = __big+a;
|
|
return x;
|
|
}
|
|
return x+x*sin__S(x*x);
|
|
}
|
|
|
|
float
|
|
sinf(float x)
|
|
{
|
|
return sin(x);
|
|
}
|
|
|
|
double
|
|
cos(double x)
|
|
{
|
|
double a,c,z,s = 1.0;
|
|
|
|
if(!finite(x)) /* cos(NaN) and cos(INF) must be NaN */
|
|
return x-x;
|
|
x=drem(x,PI2); /* reduce x into [-PI,PI] */
|
|
a=copysign(x,__one);
|
|
if (a >= PIo4) {
|
|
if (a >= PI3o4) { /* ... in [3PI/4,PI] */
|
|
a = PI-a;
|
|
s = __negone;
|
|
}
|
|
else { /* ... in [PI/4,3PI/4] */
|
|
a = PIo2-a;
|
|
return a+a*sin__S(a*a); /* rtn. S(PI/2-|x|) */
|
|
}
|
|
}
|
|
if (a < __small) {
|
|
z = __big+a;
|
|
return s; /* rtn. s*C(a) */
|
|
}
|
|
z = a*a;
|
|
c = cos__C(z);
|
|
z *= __half;
|
|
a = (z >= thresh ? __half-((z-__half)-c) : __one-(z-c));
|
|
return copysign(a,s);
|
|
}
|
|
|
|
float
|
|
cosf(float x)
|
|
{
|
|
return cos(x);
|
|
}
|