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annotate libquadmath/math/remquoq.c @ 158:494b0b89df80 default tip

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author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Mon, 25 May 2020 18:13:55 +0900
parents 1830386684a0
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
68
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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1 /* Compute remainder and a congruent to the quotient.
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2 Copyright (C) 1997-2018 Free Software Foundation, Inc.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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3 This file is part of the GNU C Library.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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5 Jakub Jelinek <jj@ultra.linux.cz>, 1999.
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6
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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7 The GNU C Library is free software; you can redistribute it and/or
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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8 modify it under the terms of the GNU Lesser General Public
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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9 License as published by the Free Software Foundation; either
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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10 version 2.1 of the License, or (at your option) any later version.
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11
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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12 The GNU C Library is distributed in the hope that it will be useful,
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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13 but WITHOUT ANY WARRANTY; without even the implied warranty of
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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15 Lesser General Public License for more details.
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16
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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17 You should have received a copy of the GNU Lesser General Public
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18 License along with the GNU C Library; if not, see
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19 <http://www.gnu.org/licenses/>. */
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20
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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21 #include "quadmath-imp.h"
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22
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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23 static const __float128 zero = 0.0;
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24
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25
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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26 __float128
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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27 remquoq (__float128 x, __float128 y, int *quo)
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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28 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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29 int64_t hx,hy;
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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30 uint64_t sx,lx,ly,qs;
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31 int cquo;
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32
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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33 GET_FLT128_WORDS64 (hx, lx, x);
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34 GET_FLT128_WORDS64 (hy, ly, y);
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35 sx = hx & 0x8000000000000000ULL;
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36 qs = sx ^ (hy & 0x8000000000000000ULL);
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37 hy &= 0x7fffffffffffffffLL;
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38 hx &= 0x7fffffffffffffffLL;
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39
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40 /* Purge off exception values. */
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41 if ((hy | ly) == 0)
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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42 return (x * y) / (x * y); /* y = 0 */
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43 if ((hx >= 0x7fff000000000000LL) /* x not finite */
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44 || ((hy >= 0x7fff000000000000LL) /* y is NaN */
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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45 && (((hy - 0x7fff000000000000LL) | ly) != 0)))
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46 return (x * y) / (x * y);
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47
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48 if (hy <= 0x7ffbffffffffffffLL)
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49 x = fmodq (x, 8 * y); /* now x < 8y */
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50
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51 if (((hx - hy) | (lx - ly)) == 0)
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52 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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53 *quo = qs ? -1 : 1;
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54 return zero * x;
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55 }
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56
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57 x = fabsq (x);
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58 y = fabsq (y);
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59 cquo = 0;
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60
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61 if (hy <= 0x7ffcffffffffffffLL && x >= 4 * y)
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62 {
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63 x -= 4 * y;
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64 cquo += 4;
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65 }
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66 if (hy <= 0x7ffdffffffffffffLL && x >= 2 * y)
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67 {
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68 x -= 2 * y;
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69 cquo += 2;
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70 }
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71
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72 if (hy < 0x0002000000000000LL)
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73 {
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74 if (x + x > y)
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75 {
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76 x -= y;
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77 ++cquo;
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78 if (x + x >= y)
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79 {
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80 x -= y;
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81 ++cquo;
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82 }
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83 }
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84 }
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85 else
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86 {
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87 __float128 y_half = 0.5Q * y;
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88 if (x > y_half)
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89 {
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90 x -= y;
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91 ++cquo;
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92 if (x >= y_half)
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93 {
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94 x -= y;
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95 ++cquo;
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96 }
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97 }
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98 }
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99
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100 *quo = qs ? -cquo : cquo;
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101
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102 /* Ensure correct sign of zero result in round-downward mode. */
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103 if (x == 0)
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104 x = 0;
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105 if (sx)
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106 x = -x;
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107 return x;
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108 }