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1 /* logbl(). PowerPC/POWER7 version.
2 Copyright (C) 2012-2019 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
4
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
9
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
14
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, see
17 <http://www.gnu.org/licenses/>. */
18
19 #include <math.h>
20 #include <math_private.h>
21 #include <math_ldbl_opt.h>
22
23 /* This implementation avoids FP to INT conversions by using VSX
24 bitwise instructions over FP values. */
25
26 static const double two1div52 = 2.220446049250313e-16; /* 1/2**52 */
27 static const double two10m1 = -1023.0; /* 2**10 -1 */
28
29 /* FP mask to extract the exponent. */
30 static const union {
31 unsigned long long mask;
32 double d;
33 } mask = { 0x7ff0000000000000ULL };
34
35 long double
36 __logbl (long double x)
37 {
38 double xh, xl;
39 double ret;
40 int64_t hx;
41
42 if (__builtin_expect (x == 0.0L, 0))
43 /* Raise FE_DIVBYZERO and return -HUGE_VAL[LF]. */
44 return -1.0L / __builtin_fabsl (x);
45
46 ldbl_unpack (x, &xh, &xl);
47 EXTRACT_WORDS64 (hx, xh);
48 /* ret = x & 0x7ff0000000000000; */
49 asm (
50 "xxland %x0,%x1,%x2\n"
51 "fcfid %0,%0"
52 : "=f" (ret)
53 : "f" (xh), "f" (mask.d));
54 /* ret = (ret >> 52) - 1023.0; */
55 ret = (ret * two1div52) + two10m1;
56 if (__builtin_expect (ret > -two10m1, 0))
57 /* Multiplication is used to set logb (+-INF) = INF. */
58 return (xh * xh);
59 else if (__builtin_expect (ret == two10m1, 0))
60 {
61 /* POSIX specifies that denormal number is treated as
62 though it were normalized. */
63 return (long double) (- (__builtin_clzll (hx & 0x7fffffffffffffffLL) \
64 - 12) - 1023);
65 }
66 else if ((hx & 0x000fffffffffffffLL) == 0)
67 {
68 /* If the high part is a power of 2, and the low part is nonzero
69 with the opposite sign, the low part affects the
70 exponent. */
71 int64_t lx, rhx;
72 EXTRACT_WORDS64 (lx, xl);
73 rhx = (hx & 0x7ff0000000000000LL) >> 52;
74 if ((hx ^ lx) < 0 && (lx & 0x7fffffffffffffffLL) != 0)
75 rhx--;
76 return (long double) (rhx - 1023);
77 }
78 /* Test to avoid logb_downward (0.0) == -0.0. */
79 return ret == -0.0 ? 0.0 : ret;
80 }
81 #ifndef __logbl
82 long_double_symbol (libm, __logbl, logbl);
83 #endif