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1/* Nelper routines to convert from integer to real.
2 Copyright 2004 Free Software Foundation, Inc.
3 Contributed by Paul Brook.
4
5This file is part of the GNU Fortran 95 runtime library (libgfortran).
6
7Libgfortran is free software; you can redistribute it and/or
57dea9f6 8modify it under the terms of the GNU General Public
a9e7b9d3 9License as published by the Free Software Foundation; either
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10version 2 of the License, or (at your option) any later version.
11
12In addition to the permissions in the GNU General Public License, the
13Free Software Foundation gives you unlimited permission to link the
14compiled version of this file into combinations with other programs,
15and to distribute those combinations without any restriction coming
16from the use of this file. (The General Public License restrictions
17do apply in other respects; for example, they cover modification of
18the file, and distribution when not linked into a combine
19executable.)
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20
21Ligbfortran is distributed in the hope that it will be useful,
22but WITHOUT ANY WARRANTY; without even the implied warranty of
23MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
57dea9f6 24GNU General Public License for more details.
a9e7b9d3 25
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26You should have received a copy of the GNU General Public
27License along with libgfortran; see the file COPYING. If not,
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28write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
29Boston, MA 02111-1307, USA. */
30#include <math.h>
31#include "libgfortran.h"
32
33/* These routines can be sensitive to excess precision, so should really be
34 compiled with -ffloat-store. */
35
36/* Return the largest value less than one representable in a REAL*4. */
37
38static inline GFC_REAL_4
39almostone_r4 ()
40{
41#ifdef HAVE_NEXTAFTERF
42 return nextafterf (1.0f, 0.0f);
43#else
44 /* The volatile is a hack to prevent excess precision on x86. */
45 static volatile GFC_REAL_4 val = 0.0f;
46 GFC_REAL_4 x;
47
48 if (val != 0.0f)
49 return val;
50
51 val = 0.9999f;
52 do
53 {
54 x = val;
55 val = (val + 1.0f) / 2.0f;
56 }
57 while (val > x && val < 1.0f);
58 if (val == 1.0f)
59 val = x;
60 return val;
61#endif
62}
63
64
65/* Return the largest value less than one representable in a REAL*8. */
66
67static inline GFC_REAL_8
68almostone_r8 ()
69{
70#ifdef HAVE_NEXTAFTER
71 return nextafter (1.0, 0.0);
72#else
73 static volatile GFC_REAL_8 val = 0.0;
74 GFC_REAL_8 x;
75
76 if (val != 0.0)
77 return val;
78
79 val = 0.9999;
80 do
81 {
82 x = val;
83 val = (val + 1.0) / 2.0;
84 }
85 while (val > x && val < 1.0);
86 if (val == 1.0)
87 val = x;
88 return val;
89#endif
90}
91
92
beabab59 93/* Convert an unsigned integer in the range [0..x] into a
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94 real the range [0..1). */
95
96GFC_REAL_4
97normalize_r4_i4 (GFC_UINTEGER_4 i, GFC_UINTEGER_4 x)
98{
99 GFC_REAL_4 r;
100
101 r = (GFC_REAL_4) i / (GFC_REAL_4) x;
102 if (r == 1.0f)
103 r = almostone_r4 ();
104 return r;
105}
106
107
beabab59 108/* Convert an unsigned integer in the range [0..x] into a
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109 real the range [0..1). */
110
111GFC_REAL_8
112normalize_r8_i8 (GFC_UINTEGER_8 i, GFC_UINTEGER_8 x)
113{
114 GFC_REAL_8 r;
115
116 r = (GFC_REAL_8) i / (GFC_REAL_8) x;
117 if (r == 1.0)
118 r = almostone_r8 ();
119 return r;
120}