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f964490f | 1 | /* Compute remainder and a congruent to the quotient. |
b168057a | 2 | Copyright (C) 1997-2015 Free Software Foundation, Inc. |
f964490f RM |
3 | This file is part of the GNU C Library. |
4 | Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and | |
5 | Jakub Jelinek <jj@ultra.linux.cz>, 1999. | |
6 | ||
7 | The GNU C Library is free software; you can redistribute it and/or | |
8 | modify it under the terms of the GNU Lesser General Public | |
9 | License as published by the Free Software Foundation; either | |
10 | version 2.1 of the License, or (at your option) any later version. | |
11 | ||
12 | The GNU C Library is distributed in the hope that it will be useful, | |
13 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
15 | Lesser General Public License for more details. | |
16 | ||
17 | You should have received a copy of the GNU Lesser General Public | |
59ba27a6 PE |
18 | License along with the GNU C Library; if not, see |
19 | <http://www.gnu.org/licenses/>. */ | |
f964490f RM |
20 | |
21 | #include <math.h> | |
22 | ||
1ed0291c | 23 | #include <math_private.h> |
f964490f RM |
24 | #include <math_ldbl_opt.h> |
25 | ||
26 | ||
27 | static const long double zero = 0.0; | |
28 | ||
29 | ||
30 | long double | |
31 | __remquol (long double x, long double y, int *quo) | |
32 | { | |
33 | int64_t hx,hy; | |
34 | u_int64_t sx,lx,ly,qs; | |
35 | int cquo; | |
765714ca AM |
36 | double xhi, xlo, yhi, ylo; |
37 | ||
38 | ldbl_unpack (x, &xhi, &xlo); | |
39 | EXTRACT_WORDS64 (hx, xhi); | |
40 | EXTRACT_WORDS64 (lx, xlo); | |
41 | ldbl_unpack (y, &yhi, &ylo); | |
42 | EXTRACT_WORDS64 (hy, yhi); | |
43 | EXTRACT_WORDS64 (ly, ylo); | |
f964490f RM |
44 | sx = hx & 0x8000000000000000ULL; |
45 | qs = sx ^ (hy & 0x8000000000000000ULL); | |
46 | hy &= 0x7fffffffffffffffLL; | |
47 | hx &= 0x7fffffffffffffffLL; | |
48 | ||
49 | /* Purge off exception values. */ | |
765714ca | 50 | if (hy == 0) |
f964490f RM |
51 | return (x * y) / (x * y); /* y = 0 */ |
52 | if ((hx >= 0x7ff0000000000000LL) /* x not finite */ | |
765714ca | 53 | || (hy > 0x7ff0000000000000LL)) /* y is NaN */ |
f964490f RM |
54 | return (x * y) / (x * y); |
55 | ||
56 | if (hy <= 0x7fbfffffffffffffLL) | |
57 | x = __ieee754_fmodl (x, 8 * y); /* now x < 8y */ | |
58 | ||
59 | if (((hx - hy) | (lx - ly)) == 0) | |
60 | { | |
61 | *quo = qs ? -1 : 1; | |
62 | return zero * x; | |
63 | } | |
64 | ||
65 | x = fabsl (x); | |
66 | y = fabsl (y); | |
67 | cquo = 0; | |
68 | ||
69 | if (x >= 4 * y) | |
70 | { | |
71 | x -= 4 * y; | |
72 | cquo += 4; | |
73 | } | |
74 | if (x >= 2 * y) | |
75 | { | |
76 | x -= 2 * y; | |
77 | cquo += 2; | |
78 | } | |
79 | ||
80 | if (hy < 0x0020000000000000LL) | |
81 | { | |
82 | if (x + x > y) | |
83 | { | |
84 | x -= y; | |
85 | ++cquo; | |
86 | if (x + x >= y) | |
87 | { | |
88 | x -= y; | |
89 | ++cquo; | |
90 | } | |
91 | } | |
92 | } | |
93 | else | |
94 | { | |
95 | long double y_half = 0.5L * y; | |
96 | if (x > y_half) | |
97 | { | |
98 | x -= y; | |
99 | ++cquo; | |
100 | if (x >= y_half) | |
101 | { | |
102 | x -= y; | |
103 | ++cquo; | |
104 | } | |
105 | } | |
106 | } | |
107 | ||
108 | *quo = qs ? -cquo : cquo; | |
109 | ||
110 | if (sx) | |
111 | x = -x; | |
112 | return x; | |
113 | } | |
114 | long_double_symbol (libm, __remquol, remquol); |