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bc9f6000 1/* Compute remainder and a congruent to the quotient.
dff8da6b 2 Copyright (C) 1997-2024 Free Software Foundation, Inc.
bc9f6000 3 This file is part of the GNU C Library.
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4
5 The GNU C Library is free software; you can redistribute it and/or
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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.
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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
41bdb6e2 13 Lesser General Public License for more details.
bc9f6000 14
41bdb6e2 15 You should have received a copy of the GNU Lesser General Public
59ba27a6 16 License along with the GNU C Library; if not, see
5a82c748 17 <https://www.gnu.org/licenses/>. */
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18
19#include <math.h>
20
1ed0291c 21#include <math_private.h>
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22
23
24static const float zero = 0.0;
2f49ce7d 25#include <libm-alias-float.h>
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26
27
28float
29__remquof (float x, float y, int *quo)
30{
34b402e5 31 int32_t hx,hy;
24ab7723 32 uint32_t sx;
34b402e5 33 int cquo, qs;
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34
35 GET_FLOAT_WORD (hx, x);
34b402e5 36 GET_FLOAT_WORD (hy, y);
bc9f6000 37 sx = hx & 0x80000000;
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38 qs = sx ^ (hy & 0x80000000);
39 hy &= 0x7fffffff;
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40 hx &= 0x7fffffff;
41
42 /* Purge off exception values. */
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43 if (hy == 0)
44 return (x * y) / (x * y); /* y = 0 */
bc9f6000 45 if ((hx >= 0x7f800000) /* x not finite */
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46 || (hy > 0x7f800000)) /* y is NaN */
47 return (x * y) / (x * y);
bc9f6000 48
34b402e5 49 if (hy <= 0x7dffffff)
63551311 50 x = __ieee754_fmodf (x, 8 * y); /* now x < 8y */
bc9f6000 51
34b402e5 52 if ((hx - hy) == 0)
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53 {
54 *quo = qs ? -1 : 1;
55 return zero * x;
56 }
57
58 x = fabsf (x);
34b402e5 59 y = fabsf (y);
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60 cquo = 0;
61
a820f9b3 62 if (hy <= 0x7e7fffff && x >= 4 * y)
bc9f6000 63 {
34b402e5 64 x -= 4 * y;
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65 cquo += 4;
66 }
a820f9b3 67 if (hy <= 0x7effffff && x >= 2 * y)
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68 {
69 x -= 2 * y;
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70 cquo += 2;
71 }
bc9f6000 72
34b402e5 73 if (hy < 0x01000000)
bc9f6000 74 {
34b402e5 75 if (x + x > y)
bc9f6000 76 {
34b402e5 77 x -= y;
d705269e 78 ++cquo;
34b402e5 79 if (x + x >= y)
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80 {
81 x -= y;
82 ++cquo;
83 }
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84 }
85 }
86 else
87 {
34b402e5 88 float y_half = 0.5 * y;
63551311 89 if (x > y_half)
bc9f6000 90 {
34b402e5 91 x -= y;
d705269e 92 ++cquo;
34b402e5 93 if (x >= y_half)
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94 {
95 x -= y;
96 ++cquo;
97 }
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98 }
99 }
100
101 *quo = qs ? -cquo : cquo;
102
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103 /* Ensure correct sign of zero result in round-downward mode. */
104 if (x == 0.0f)
105 x = 0.0f;
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106 if (sx)
107 x = -x;
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108 return x;
109}
2f49ce7d 110libm_alias_float (__remquo, remquo)