1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
|
/* s_nextafterl.c -- long double version of s_nextafter.c.
* Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
*/
/*
* ====================================================
* 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: $";
#endif
/* IEEE functions
* nextafterl(x,y)
* return the next machine floating-point number of x in the
* direction toward y.
* Special cases:
*/
#include <math.h>
#include <math_private.h>
#include <math_ldbl_opt.h>
long double __nextafterl(long double x, long double y)
{
int64_t hx,hy,ihx,ihy,ilx;
u_int64_t lx,ly;
GET_LDOUBLE_WORDS64(hx,lx,x);
GET_LDOUBLE_WORDS64(hy,ly,y);
ihx = hx&0x7fffffffffffffffLL; /* |hx| */
ilx = lx&0x7fffffffffffffffLL; /* |lx| */
ihy = hy&0x7fffffffffffffffLL; /* |hy| */
if((((ihx&0x7ff0000000000000LL)==0x7ff0000000000000LL)&&
((ihx&0x000fffffffffffffLL)!=0)) || /* x is nan */
(((ihy&0x7ff0000000000000LL)==0x7ff0000000000000LL)&&
((ihy&0x000fffffffffffffLL)!=0))) /* y is nan */
return x+y; /* signal the nan */
if(x==y)
return y; /* x=y, return y */
if(ihx == 0 && ilx == 0) { /* x == 0 */
long double u;
hy = (hy & 0x8000000000000000ULL) | 1;
SET_LDOUBLE_WORDS64(x,hy,0ULL);/* return +-minsubnormal */
u = math_opt_barrier (x);
u = u * u;
math_force_eval (u); /* raise underflow flag */
return x;
}
long double u;
if(x > y) { /* x > y, x -= ulp */
if((hx==0xffefffffffffffffLL)&&(lx==0xfc8ffffffffffffeLL))
return x+x; /* overflow, return -inf */
if (hx >= 0x7ff0000000000000LL) {
SET_LDOUBLE_WORDS64(u,0x7fefffffffffffffLL,0x7c8ffffffffffffeLL);
return u;
}
if(ihx <= 0x0360000000000000LL) { /* x <= LDBL_MIN */
u = math_opt_barrier (x);
x -= __LDBL_DENORM_MIN__;
if (ihx < 0x0360000000000000LL
|| (hx > 0 && (int64_t) lx <= 0)
|| (hx < 0 && (int64_t) lx > 1)) {
u = u * u;
math_force_eval (u); /* raise underflow flag */
}
return x;
}
if (ihx < 0x06a0000000000000LL) { /* ulp will denormal */
SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL),0ULL);
u *= 0x1.0000000000000p-105L;
} else
SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL)-0x0690000000000000LL,0ULL);
return x - u;
} else { /* x < y, x += ulp */
if((hx==0x7fefffffffffffffLL)&&(lx==0x7c8ffffffffffffeLL))
return x+x; /* overflow, return +inf */
if ((u_int64_t) hx >= 0xfff0000000000000ULL) {
SET_LDOUBLE_WORDS64(u,0xffefffffffffffffLL,0xfc8ffffffffffffeLL);
return u;
}
if(ihx <= 0x0360000000000000LL) { /* x <= LDBL_MIN */
u = math_opt_barrier (x);
x += __LDBL_DENORM_MIN__;
if (ihx < 0x0360000000000000LL
|| (hx > 0 && (int64_t) lx < 0 && lx != 0x8000000000000001LL)
|| (hx < 0 && (int64_t) lx >= 0)) {
u = u * u;
math_force_eval (u); /* raise underflow flag */
}
if (x == 0.0L) /* handle negative __LDBL_DENORM_MIN__ case */
x = -0.0L;
return x;
}
if (ihx < 0x06a0000000000000LL) { /* ulp will denormal */
SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL),0ULL);
u *= 0x1.0000000000000p-105L;
} else
SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL)-0x0690000000000000LL,0ULL);
return x + u;
}
}
strong_alias (__nextafterl, __nexttowardl)
long_double_symbol (libm, __nextafterl, nextafterl);
long_double_symbol (libm, __nexttowardl, nexttowardl);
|