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1/* Compute remainder and a congruent to the quotient.
2 Copyright (C) 1997 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Library General Public License as
8 published by the Free Software Foundation; either version 2 of the
9 License, or (at your option) any later version.
10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Library General Public License for more details.
15
16 You should have received a copy of the GNU Library General Public
17 License along with the GNU C Library; see the file COPYING.LIB. If not,
18 write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
19 Boston, MA 02111-1307, USA. */
20
21#include <math.h>
22
23#include "math_private.h"
24
25
26static const double zero = 0.0;
27
28
29double
30__remquo (double x, double y, int *quo)
31{
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32 int32_t hx,hy;
33 u_int32_t sx,lx,ly;
34 int cquo, qs;
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35
36 EXTRACT_WORDS (hx, lx, x);
34b402e5 37 EXTRACT_WORDS (hy, ly, y);
bc9f6000 38 sx = hx & 0x80000000;
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39 qs = sx ^ (hy & 0x80000000);
40 hy &= 0x7fffffff;
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41 hx &= 0x7fffffff;
42
43 /* Purge off exception values. */
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44 if ((hy | ly) == 0)
45 return (x * y) / (x * y); /* y = 0 */
bc9f6000 46 if ((hx >= 0x7ff00000) /* x not finite */
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47 || ((hy >= 0x7ff00000) /* p is NaN */
48 && (((hy - 0x7ff00000) | ly) != 0)))
49 return (x * y) / (x * y);
bc9f6000 50
34b402e5 51 if (hy <= 0x7fbfffff)
63551311 52 x = __ieee754_fmod (x, 8 * y); /* now x < 8y */
bc9f6000 53
34b402e5 54 if (((hx - hy) | (lx - ly)) == 0)
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55 {
56 *quo = qs ? -1 : 1;
57 return zero * x;
58 }
59
60 x = fabs (x);
34b402e5 61 y = fabs (y);
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62 cquo = 0;
63
63551311 64 if (x >= 4 * y)
bc9f6000 65 {
34b402e5 66 x -= 4 * y;
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67 cquo += 4;
68 }
69 if (x >= 2 * y)
70 {
71 x -= 2 * y;
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72 cquo += 2;
73 }
34b402e5 74 if (x >= y)
bc9f6000 75 {
63551311 76 x -= y;
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77 ++cquo;
78 }
79
34b402e5 80 if (hy < 0x00200000)
bc9f6000 81 {
34b402e5 82 if (x + x > y)
bc9f6000 83 {
34b402e5 84 x -= y;
d705269e 85 ++cquo;
34b402e5 86 if (x + x >= y)
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87 {
88 x -= y;
89 ++cquo;
90 }
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91 }
92 }
93 else
94 {
34b402e5 95 double y_half = 0.5 * y;
63551311 96 if (x > y_half)
bc9f6000 97 {
34b402e5 98 x -= y;
d705269e 99 ++cquo;
34b402e5 100 if (x >= y_half)
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101 {
102 x -= y;
103 ++cquo;
104 }
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105 }
106 }
107
108 *quo = qs ? -cquo : cquo;
109
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110 if (sx)
111 x = -x;
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112 return x;
113}
114weak_alias (__remquo, remquo)
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115#ifdef NO_LONG_DOUBLE
116strong_alias (__remquo, __remquol)
117weak_alias (__remquo, remquol)
118#endif