1/* e_asinf.c -- float version of e_asin.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#ifndef lint
| 1/* e_asinf.c -- float version of e_asin.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#ifndef lint
|
18#endif
19
20#include "math.h"
21#include "math_private.h"
22
23#ifdef __STDC__
24static const float
25#else
26static float
27#endif
28one = 1.0000000000e+00, /* 0x3F800000 */
29huge = 1.000e+30,
30pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
31pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
32pio4_hi = 7.8539818525e-01, /* 0x3f490fdb */
33 /* coefficient for R(x^2) */
34pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
35pS1 = -3.2556581497e-01, /* 0xbea6b090 */
36pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
37pS3 = -4.0055535734e-02, /* 0xbd241146 */
38pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
39pS5 = 3.4793309169e-05, /* 0x3811ef08 */
40qS1 = -2.4033949375e+00, /* 0xc019d139 */
41qS2 = 2.0209457874e+00, /* 0x4001572d */
42qS3 = -6.8828397989e-01, /* 0xbf303361 */
43qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
44
45#ifdef __STDC__
46 float __ieee754_asinf(float x)
47#else
48 float __ieee754_asinf(x)
49 float x;
50#endif
51{
52 float t=0.0,w,p,q,c,r,s;
53 int32_t hx,ix;
54 GET_FLOAT_WORD(hx,x);
55 ix = hx&0x7fffffff;
56 if(ix==0x3f800000) {
57 /* asin(1)=+-pi/2 with inexact */
58 return x*pio2_hi+x*pio2_lo;
59 } else if(ix> 0x3f800000) { /* |x|>= 1 */
60 return (x-x)/(x-x); /* asin(|x|>1) is NaN */
61 } else if (ix<0x3f000000) { /* |x|<0.5 */
62 if(ix<0x32000000) { /* if |x| < 2**-27 */
63 if(huge+x>one) return x;/* return x with inexact if x!=0*/
64 } else
65 t = x*x;
66 p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
67 q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
68 w = p/q;
69 return x+x*w;
70 }
71 /* 1> |x|>= 0.5 */
72 w = one-fabsf(x);
73 t = w*(float)0.5;
74 p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
75 q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
| 18#endif
19
20#include "math.h"
21#include "math_private.h"
22
23#ifdef __STDC__
24static const float
25#else
26static float
27#endif
28one = 1.0000000000e+00, /* 0x3F800000 */
29huge = 1.000e+30,
30pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
31pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
32pio4_hi = 7.8539818525e-01, /* 0x3f490fdb */
33 /* coefficient for R(x^2) */
34pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
35pS1 = -3.2556581497e-01, /* 0xbea6b090 */
36pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
37pS3 = -4.0055535734e-02, /* 0xbd241146 */
38pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
39pS5 = 3.4793309169e-05, /* 0x3811ef08 */
40qS1 = -2.4033949375e+00, /* 0xc019d139 */
41qS2 = 2.0209457874e+00, /* 0x4001572d */
42qS3 = -6.8828397989e-01, /* 0xbf303361 */
43qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
44
45#ifdef __STDC__
46 float __ieee754_asinf(float x)
47#else
48 float __ieee754_asinf(x)
49 float x;
50#endif
51{
52 float t=0.0,w,p,q,c,r,s;
53 int32_t hx,ix;
54 GET_FLOAT_WORD(hx,x);
55 ix = hx&0x7fffffff;
56 if(ix==0x3f800000) {
57 /* asin(1)=+-pi/2 with inexact */
58 return x*pio2_hi+x*pio2_lo;
59 } else if(ix> 0x3f800000) { /* |x|>= 1 */
60 return (x-x)/(x-x); /* asin(|x|>1) is NaN */
61 } else if (ix<0x3f000000) { /* |x|<0.5 */
62 if(ix<0x32000000) { /* if |x| < 2**-27 */
63 if(huge+x>one) return x;/* return x with inexact if x!=0*/
64 } else
65 t = x*x;
66 p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
67 q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
68 w = p/q;
69 return x+x*w;
70 }
71 /* 1> |x|>= 0.5 */
72 w = one-fabsf(x);
73 t = w*(float)0.5;
74 p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
75 q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
|
77 if(ix>=0x3F79999A) { /* if |x| > 0.975 */
78 w = p/q;
79 t = pio2_hi-((float)2.0*(s+s*w)-pio2_lo);
80 } else {
81 int32_t iw;
82 w = s;
83 GET_FLOAT_WORD(iw,w);
84 SET_FLOAT_WORD(w,iw&0xfffff000);
85 c = (t-w*w)/(s+w);
86 r = p/q;
87 p = (float)2.0*s*r-(pio2_lo-(float)2.0*c);
88 q = pio4_hi-(float)2.0*w;
89 t = pio4_hi-(p-q);
90 }
91 if(hx>0) return t; else return -t;
92}
| 77 if(ix>=0x3F79999A) { /* if |x| > 0.975 */
78 w = p/q;
79 t = pio2_hi-((float)2.0*(s+s*w)-pio2_lo);
80 } else {
81 int32_t iw;
82 w = s;
83 GET_FLOAT_WORD(iw,w);
84 SET_FLOAT_WORD(w,iw&0xfffff000);
85 c = (t-w*w)/(s+w);
86 r = p/q;
87 p = (float)2.0*s*r-(pio2_lo-(float)2.0*c);
88 q = pio4_hi-(float)2.0*w;
89 t = pio4_hi-(p-q);
90 }
91 if(hx>0) return t; else return -t;
92}
|