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/* See the import.pl script for potential modifications */
/* k_tanf.c -- Simple version of k_tan.c
* Conversion to Simple by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
#if defined(LIBM_SCCS) && !defined(lint)
static char rcsid[] = "$NetBSD: k_tanf.c,v 1.4f 1995/05/10 20:46:39 jtc Exp $";
#endif
#include "SMath.h"
#include "math_private.h"
namespace streflop_libm {
#ifdef __STDC__
static const Simple
#else
static Simple
#endif
one = 1.0000000000e+00f, /* 0x3f800000 */
pio4 = 7.8539812565e-01f, /* 0x3f490fda */
pio4lo= 3.7748947079e-08f, /* 0x33222168 */
T[] = {
3.3333334327e-01f, /* 0x3eaaaaab */
1.3333334029e-01f, /* 0x3e088889 */
5.3968254477e-02f, /* 0x3d5d0dd1 */
2.1869488060e-02f, /* 0x3cb327a4 */
8.8632395491e-03f, /* 0x3c11371f */
3.5920790397e-03f, /* 0x3b6b6916 */
1.4562094584e-03f, /* 0x3abede48 */
5.8804126456e-04f, /* 0x3a1a26c8 */
2.4646313977e-04f, /* 0x398137b9 */
7.8179444245e-05f, /* 0x38a3f445 */
7.1407252108e-05f, /* 0x3895c07a */
-1.8558637748e-05f, /* 0xb79bae5f */
2.5907305826e-05f, /* 0x37d95384 */
};
#ifdef __STDC__
Simple __kernel_tanf(Simple x, Simple y, int iy)
#else
Simple __kernel_tanf(x, y, iy)
Simple x,y; int iy;
#endif
{
Simple z,r,v,w,s;
int32_t ix,hx;
GET_FLOAT_WORD(hx,x);
ix = hx&0x7fffffff; /* high word of |x| */
if(ix<0x31800000) /* x < 2**-28 */
{if((int)x==0) { /* generate inexact */
if((ix|(iy+1))==0) return one/fabsf(x);
else return (iy==1)? x: -one/x;
}
}
if(ix>=0x3f2ca140) { /* |x|>=0.6744f */
if(hx<0) {x = -x; y = -y;}
z = pio4-x;
w = pio4lo-y;
x = z+w; y = 0.0f;
}
z = x*x;
w = z*z;
/* Break x^5*(T[1]+x^2*T[2]+...) into
* x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
* x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
*/
r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
s = z*x;
r = y + z*(s*(r+v)+y);
r += T[0]*s;
w = x+r;
if(ix>=0x3f2ca140) {
v = (Simple)iy;
return (Simple)(1-((hx>>30)&2))*(v-(Simple)2.0f*(x-(w*w/(w+v)-r)));
}
if(iy==1) return w;
else { /* if allow error up to 2 ulp,
simply return -1.0f/(x+r) here */
/* compute -1.0f/(x+r) accurately */
Simple a,t;
int32_t i;
z = w;
GET_FLOAT_WORD(i,z);
SET_FLOAT_WORD(z,i&0xfffff000);
v = r-(z - x); /* z+v = r+x */
t = a = -(Simple)1.0f/w; /* a = -1.0f/w */
GET_FLOAT_WORD(i,t);
SET_FLOAT_WORD(t,i&0xfffff000);
s = (Simple)1.0f+t*z;
return t+a*(s+t*v);
}
}
}
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