1 /* e_acosf.c -- float version of e_acos.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
13 * ====================================================
17 static char rcsid[] = "$FreeBSD: src/lib/msun/src/e_acosf.c,v 1.6 1999/08/28 00:06:27 peter Exp $";
21 #include "math_private.h"
28 one = 1.0000000000e+00, /* 0x3F800000 */
29 pi = 3.1415925026e+00, /* 0x40490fda */
30 pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
31 pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
32 pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
33 pS1 = -3.2556581497e-01, /* 0xbea6b090 */
34 pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
35 pS3 = -4.0055535734e-02, /* 0xbd241146 */
36 pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
37 pS5 = 3.4793309169e-05, /* 0x3811ef08 */
38 qS1 = -2.4033949375e+00, /* 0xc019d139 */
39 qS2 = 2.0209457874e+00, /* 0x4001572d */
40 qS3 = -6.8828397989e-01, /* 0xbf303361 */
41 qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
44 float __ieee754_acosf(float x)
46 float __ieee754_acosf(x)
50 float z,p,q,r,w,s,c,df;
54 if(ix==0x3f800000) { /* |x|==1 */
55 if(hx>0) return 0.0; /* acos(1) = 0 */
56 else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */
57 } else if(ix>0x3f800000) { /* |x| >= 1 */
58 return (x-x)/(x-x); /* acos(|x|>1) is NaN */
60 if(ix<0x3f000000) { /* |x| < 0.5 */
61 if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
63 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
64 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
66 return pio2_hi - (x - (pio2_lo-x*r));
67 } else if (hx<0) { /* x < -0.5 */
68 z = (one+x)*(float)0.5;
69 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
70 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
71 s = __ieee754_sqrtf(z);
74 return pi - (float)2.0*(s+w);
75 } else { /* x > 0.5 */
77 z = (one-x)*(float)0.5;
78 s = __ieee754_sqrtf(z);
80 GET_FLOAT_WORD(idf,df);
81 SET_FLOAT_WORD(df,idf&0xfffff000);
83 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
84 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
87 return (float)2.0*(df+w);