1/* e_acosf.c -- float version of e_acos.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3 */
4
5/*
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
8 *
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
12 * is preserved.
13 * ====================================================
14 */
15
16#include <math.h>
17#include <math_private.h>
18#include <libm-alias-finite.h>
19
20static const float
21one = 1.0000000000e+00, /* 0x3F800000 */
22pi = 3.1415925026e+00, /* 0x40490fda */
23pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
24pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
25pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
26pS1 = -3.2556581497e-01, /* 0xbea6b090 */
27pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
28pS3 = -4.0055535734e-02, /* 0xbd241146 */
29pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
30pS5 = 3.4793309169e-05, /* 0x3811ef08 */
31qS1 = -2.4033949375e+00, /* 0xc019d139 */
32qS2 = 2.0209457874e+00, /* 0x4001572d */
33qS3 = -6.8828397989e-01, /* 0xbf303361 */
34qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
35
36float
37__ieee754_acosf(float x)
38{
39 float z,p,q,r,w,s,c,df;
40 int32_t hx,ix;
41 GET_FLOAT_WORD(hx,x);
42 ix = hx&0x7fffffff;
43 if(ix==0x3f800000) { /* |x|==1 */
44 if(hx>0) return 0.0; /* acos(1) = 0 */
45 else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */
46 } else if(ix>0x3f800000) { /* |x| >= 1 */
47 return (x-x)/(x-x); /* acos(|x|>1) is NaN */
48 }
49 if(ix<0x3f000000) { /* |x| < 0.5 */
50 if(ix<=0x32800000) return pio2_hi+pio2_lo;/*if|x|<=2**-26*/
51 z = x*x;
52 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
53 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
54 r = p/q;
55 return pio2_hi - (x - (pio2_lo-x*r));
56 } else if (hx<0) { /* x < -0.5 */
57 z = (one+x)*(float)0.5;
58 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
59 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
60 s = sqrtf(z);
61 r = p/q;
62 w = r*s-pio2_lo;
63 return pi - (float)2.0*(s+w);
64 } else { /* x > 0.5 */
65 int32_t idf;
66 z = (one-x)*(float)0.5;
67 s = sqrtf(z);
68 df = s;
69 GET_FLOAT_WORD(idf,df);
70 SET_FLOAT_WORD(df,idf&0xfffff000);
71 c = (z-df*df)/(s+df);
72 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
73 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
74 r = p/q;
75 w = r*s+c;
76 return (float)2.0*(df+w);
77 }
78}
79libm_alias_finite (__ieee754_acosf, __acosf)
80