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1 | /* Compute remainder and a congruent to the quotient. |
2 | Copyright (C) 1997,1999,2002,2004,2006 Free Software Foundation, Inc. | |
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 | |
18 | License along with the GNU C Library; if not, write to the Free | |
19 | Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA | |
20 | 02111-1307 USA. */ | |
21 | ||
22 | #include <math.h> | |
23 | ||
24 | #include "math_private.h" | |
25 | #include <math_ldbl_opt.h> | |
26 | ||
27 | ||
28 | static const long double zero = 0.0; | |
29 | ||
30 | ||
31 | long double | |
32 | __remquol (long double x, long double y, int *quo) | |
33 | { | |
34 | int64_t hx,hy; | |
35 | u_int64_t sx,lx,ly,qs; | |
36 | int cquo; | |
37 | ||
38 | GET_LDOUBLE_WORDS64 (hx, lx, x); | |
39 | GET_LDOUBLE_WORDS64 (hy, ly, y); | |
40 | sx = hx & 0x8000000000000000ULL; | |
41 | qs = sx ^ (hy & 0x8000000000000000ULL); | |
42 | hy &= 0x7fffffffffffffffLL; | |
43 | hx &= 0x7fffffffffffffffLL; | |
44 | ||
45 | /* Purge off exception values. */ | |
46 | if ((hy | (ly & 0x7fffffffffffffff)) == 0) | |
47 | return (x * y) / (x * y); /* y = 0 */ | |
48 | if ((hx >= 0x7ff0000000000000LL) /* x not finite */ | |
49 | || ((hy >= 0x7ff0000000000000LL) /* y is NaN */ | |
50 | && (((hy - 0x7ff0000000000000LL) | ly) != 0))) | |
51 | return (x * y) / (x * y); | |
52 | ||
53 | if (hy <= 0x7fbfffffffffffffLL) | |
54 | x = __ieee754_fmodl (x, 8 * y); /* now x < 8y */ | |
55 | ||
56 | if (((hx - hy) | (lx - ly)) == 0) | |
57 | { | |
58 | *quo = qs ? -1 : 1; | |
59 | return zero * x; | |
60 | } | |
61 | ||
62 | x = fabsl (x); | |
63 | y = fabsl (y); | |
64 | cquo = 0; | |
65 | ||
66 | if (x >= 4 * y) | |
67 | { | |
68 | x -= 4 * y; | |
69 | cquo += 4; | |
70 | } | |
71 | if (x >= 2 * y) | |
72 | { | |
73 | x -= 2 * y; | |
74 | cquo += 2; | |
75 | } | |
76 | ||
77 | if (hy < 0x0020000000000000LL) | |
78 | { | |
79 | if (x + x > y) | |
80 | { | |
81 | x -= y; | |
82 | ++cquo; | |
83 | if (x + x >= y) | |
84 | { | |
85 | x -= y; | |
86 | ++cquo; | |
87 | } | |
88 | } | |
89 | } | |
90 | else | |
91 | { | |
92 | long double y_half = 0.5L * y; | |
93 | if (x > y_half) | |
94 | { | |
95 | x -= y; | |
96 | ++cquo; | |
97 | if (x >= y_half) | |
98 | { | |
99 | x -= y; | |
100 | ++cquo; | |
101 | } | |
102 | } | |
103 | } | |
104 | ||
105 | *quo = qs ? -cquo : cquo; | |
106 | ||
107 | if (sx) | |
108 | x = -x; | |
109 | return x; | |
110 | } | |
111 | long_double_symbol (libm, __remquol, remquol); |