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bc9f6000 1/* Compute remainder and a congruent to the quotient.
04277e02 2 Copyright (C) 1997-2019 Free Software Foundation, Inc.
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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
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7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
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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
41bdb6e2 14 Lesser General Public License for more details.
bc9f6000 15
41bdb6e2 16 You should have received a copy of the GNU Lesser General Public
59ba27a6 17 License along with the GNU C Library; if not, see
5a82c748 18 <https://www.gnu.org/licenses/>. */
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19
20#include <math.h>
21
1ed0291c 22#include <math_private.h>
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23
24
25static const float zero = 0.0;
2f49ce7d 26#include <libm-alias-float.h>
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27
28
29float
30__remquof (float x, float y, int *quo)
31{
34b402e5 32 int32_t hx,hy;
24ab7723 33 uint32_t sx;
34b402e5 34 int cquo, qs;
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35
36 GET_FLOAT_WORD (hx, x);
34b402e5 37 GET_FLOAT_WORD (hy, 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 == 0)
45 return (x * y) / (x * y); /* y = 0 */
bc9f6000 46 if ((hx >= 0x7f800000) /* x not finite */
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47 || (hy > 0x7f800000)) /* y is NaN */
48 return (x * y) / (x * y);
bc9f6000 49
34b402e5 50 if (hy <= 0x7dffffff)
63551311 51 x = __ieee754_fmodf (x, 8 * y); /* now x < 8y */
bc9f6000 52
34b402e5 53 if ((hx - hy) == 0)
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54 {
55 *quo = qs ? -1 : 1;
56 return zero * x;
57 }
58
59 x = fabsf (x);
34b402e5 60 y = fabsf (y);
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61 cquo = 0;
62
a820f9b3 63 if (hy <= 0x7e7fffff && x >= 4 * y)
bc9f6000 64 {
34b402e5 65 x -= 4 * y;
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66 cquo += 4;
67 }
a820f9b3 68 if (hy <= 0x7effffff && x >= 2 * y)
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69 {
70 x -= 2 * y;
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71 cquo += 2;
72 }
bc9f6000 73
34b402e5 74 if (hy < 0x01000000)
bc9f6000 75 {
34b402e5 76 if (x + x > y)
bc9f6000 77 {
34b402e5 78 x -= y;
d705269e 79 ++cquo;
34b402e5 80 if (x + x >= y)
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81 {
82 x -= y;
83 ++cquo;
84 }
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85 }
86 }
87 else
88 {
34b402e5 89 float y_half = 0.5 * y;
63551311 90 if (x > y_half)
bc9f6000 91 {
34b402e5 92 x -= y;
d705269e 93 ++cquo;
34b402e5 94 if (x >= y_half)
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95 {
96 x -= y;
97 ++cquo;
98 }
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99 }
100 }
101
102 *quo = qs ? -cquo : cquo;
103
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104 /* Ensure correct sign of zero result in round-downward mode. */
105 if (x == 0.0f)
106 x = 0.0f;
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107 if (sx)
108 x = -x;
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109 return x;
110}
2f49ce7d 111libm_alias_float (__remquo, remquo)