Mercurial > hg > octave-lojdl > gnulib-hg
annotate lib/trunc.c @ 15926:23d150bba2eb
truncl: Simplify for platforms where 'long double' == 'double'.
* lib/truncl.c: Include <config.h>.
(truncl) [HAVE_SAME_LONG_DOUBLE_AS_DOUBLE]: New function.
* lib/trunc.c [!USE_LONG_DOUBLE]: Don't include <config.h> a second
time.
* m4/truncl.m4 (gl_FUNC_TRUNCL): Require gl_LONG_DOUBLE_VS_DOUBLE.
Determine TRUNCL_LIBM according to HAVE_SAME_LONG_DOUBLE_AS_DOUBLE.
* modules/truncl (Depends-on): Add trunc. Update conditions.
author | Bruno Haible <bruno@clisp.org> |
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date | Mon, 10 Oct 2011 01:05:53 +0200 |
parents | 97fc9a21a8fb |
children | 8250f2777afc |
rev | line source |
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9282 | 1 /* Round towards zero. |
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2 Copyright (C) 2007, 2010-2011 Free Software Foundation, Inc. |
9282 | 3 |
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4 This program is free software: you can redistribute it and/or modify |
9282 | 5 it under the terms of the GNU General Public License as published by |
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6 the Free Software Foundation; either version 3 of the License, or |
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7 (at your option) any later version. |
9282 | 8 |
9 This program is distributed in the hope that it will be useful, | |
10 but WITHOUT ANY WARRANTY; without even the implied warranty of | |
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
12 GNU General Public License for more details. | |
13 | |
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14 You should have received a copy of the GNU General Public License |
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15 along with this program. If not, see <http://www.gnu.org/licenses/>. */ |
9282 | 16 |
17 /* Written by Bruno Haible <bruno@clisp.org>, 2007. */ | |
18 | |
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19 #if ! defined USE_LONG_DOUBLE |
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20 # include <config.h> |
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21 #endif |
9282 | 22 |
23 /* Specification. */ | |
24 #include <math.h> | |
25 | |
26 #include <float.h> | |
27 | |
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28 #undef MIN |
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29 |
9285 | 30 #ifdef USE_LONG_DOUBLE |
31 # define FUNC truncl | |
32 # define DOUBLE long double | |
33 # define MANT_DIG LDBL_MANT_DIG | |
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34 # define MIN LDBL_MIN |
9285 | 35 # define L_(literal) literal##L |
36 #elif ! defined USE_FLOAT | |
37 # define FUNC trunc | |
38 # define DOUBLE double | |
39 # define MANT_DIG DBL_MANT_DIG | |
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40 # define MIN DBL_MIN |
9285 | 41 # define L_(literal) literal |
42 #else /* defined USE_FLOAT */ | |
43 # define FUNC truncf | |
44 # define DOUBLE float | |
45 # define MANT_DIG FLT_MANT_DIG | |
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46 # define MIN FLT_MIN |
9285 | 47 # define L_(literal) literal##f |
48 #endif | |
49 | |
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50 /* -0.0. See minus-zero.h. */ |
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51 #if defined __hpux || defined __sgi || defined __ICC |
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52 # define MINUS_ZERO (-MIN * MIN) |
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53 #else |
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54 # define MINUS_ZERO L_(-0.0) |
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55 #endif |
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56 |
9285 | 57 /* 2^(MANT_DIG-1). */ |
9313 | 58 static const DOUBLE TWO_MANT_DIG = |
9285 | 59 /* Assume MANT_DIG <= 5 * 31. |
9282 | 60 Use the identity |
9285 | 61 n = floor(n/5) + floor((n+1)/5) + ... + floor((n+4)/5). */ |
62 (DOUBLE) (1U << ((MANT_DIG - 1) / 5)) | |
63 * (DOUBLE) (1U << ((MANT_DIG - 1 + 1) / 5)) | |
64 * (DOUBLE) (1U << ((MANT_DIG - 1 + 2) / 5)) | |
65 * (DOUBLE) (1U << ((MANT_DIG - 1 + 3) / 5)) | |
66 * (DOUBLE) (1U << ((MANT_DIG - 1 + 4) / 5)); | |
9282 | 67 |
9285 | 68 DOUBLE |
69 FUNC (DOUBLE x) | |
9282 | 70 { |
71 /* The use of 'volatile' guarantees that excess precision bits are dropped | |
72 at each addition step and before the following comparison at the caller's | |
73 site. It is necessary on x86 systems where double-floats are not IEEE | |
74 compliant by default, to avoid that the results become platform and compiler | |
75 option dependent. 'volatile' is a portable alternative to gcc's | |
76 -ffloat-store option. */ | |
9285 | 77 volatile DOUBLE y = x; |
78 volatile DOUBLE z = y; | |
9282 | 79 |
9285 | 80 if (z > L_(0.0)) |
9282 | 81 { |
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82 /* For 0 < x < 1, return +0.0 even if the current rounding mode is |
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83 FE_DOWNWARD. */ |
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84 if (z < L_(1.0)) |
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85 z = L_(0.0); |
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86 /* Avoid rounding errors for values near 2^k, where k >= MANT_DIG-1. */ |
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87 else if (z < TWO_MANT_DIG) |
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88 { |
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89 /* Round to the next integer (nearest or up or down, doesn't matter). */ |
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90 z += TWO_MANT_DIG; |
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91 z -= TWO_MANT_DIG; |
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92 /* Enforce rounding down. */ |
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93 if (z > y) |
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94 z -= L_(1.0); |
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95 } |
9282 | 96 } |
9285 | 97 else if (z < L_(0.0)) |
9282 | 98 { |
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99 /* For -1 < x < 0, return -0.0 regardless of the current rounding |
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100 mode. */ |
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101 if (z > L_(-1.0)) |
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102 z = MINUS_ZERO; |
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103 /* Avoid rounding errors for values near -2^k, where k >= MANT_DIG-1. */ |
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104 else if (z > - TWO_MANT_DIG) |
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105 { |
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106 /* Round to the next integer (nearest or up or down, doesn't matter). */ |
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107 z -= TWO_MANT_DIG; |
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108 z += TWO_MANT_DIG; |
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109 /* Enforce rounding up. */ |
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110 if (z < y) |
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111 z += L_(1.0); |
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112 } |
9282 | 113 } |
114 return z; | |
115 } |