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1 /*-
2  * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
3  *
4  * Copyright (c) 2007 David Schultz
5  * All rights reserved.
6  *
7  * Redistribution and use in source and binary forms, with or without
8  * modification, are permitted provided that the following conditions
9  * are met:
10  * 1. Redistributions of source code must retain the above copyright
11  *    notice, this list of conditions and the following disclaimer.
12  * 2. Redistributions in binary form must reproduce the above copyright
13  *    notice, this list of conditions and the following disclaimer in the
14  *    documentation and/or other materials provided with the distribution.
15  *
16  * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
17  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
19  * ARE DISCLAIMED.  IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
20  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
22  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
23  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26  * SUCH DAMAGE.
27  *
28  * $FreeBSD: head/lib/msun/src/s_nan.c 326219 2017-11-26 02:00:33Z pfg $
29  */
30 
31 #include <sys/endian.h>
32 #include <ctype.h>
33 #include <float.h>
34 #include <math.h>
35 #include <stdint.h>
36 #include <strings.h>
37 
38 #include "math_private.h"
39 
40 /*
41  * Scan a string of hexadecimal digits (the format nan(3) expects) and
42  * make a bit array (using the local endianness). We stop when we
43  * encounter an invalid character, NUL, etc.  If we overflow, we do
44  * the same as gcc's __builtin_nan(), namely, discard the high order bits.
45  *
46  * The format this routine accepts needs to be compatible with what is used
47  * in contrib/gdtoa/hexnan.c (for strtod/scanf) and what is used in
48  * __builtin_nan(). In fact, we're only 100% compatible for strings we
49  * consider valid, so we might be violating the C standard. But it's
50  * impossible to use nan(3) portably anyway, so this seems good enough.
51  */
52 void
_scan_nan(uint32_t * words,int num_words,const char * s)53 _scan_nan(uint32_t *words, int num_words, const char *s)
54 {
55 	int si;		/* index into s */
56 	int bitpos;	/* index into words (in bits) */
57 
58 	bzero(words, num_words * sizeof(uint32_t));
59 
60 	/* Allow a leading '0x'. (It's expected, but redundant.) */
61 	if (s[0] == '0' && (s[1] == 'x' || s[1] == 'X'))
62 		s += 2;
63 
64 	/* Scan forwards in the string, looking for the end of the sequence. */
65 	for (si = 0; isxdigit(s[si]); si++)
66 		;
67 
68 	/* Scan backwards, filling in the bits in words[] as we go. */
69 #if _BYTE_ORDER == _LITTLE_ENDIAN
70 	for (bitpos = 0; bitpos < 32 * num_words; bitpos += 4) {
71 #else
72 	for (bitpos = 32 * num_words - 4; bitpos >= 0; bitpos -= 4) {
73 #endif
74 		if (--si < 0)
75 			break;
76 		words[bitpos / 32] |= digittoint(s[si]) << (bitpos % 32);
77 	}
78 }
79 
80 double
81 nan(const char *s)
82 {
83 	union {
84 		double d;
85 		uint32_t bits[2];
86 	} u;
87 
88 	_scan_nan(u.bits, 2, s);
89 #if _BYTE_ORDER == _LITTLE_ENDIAN
90 	u.bits[1] |= 0x7ff80000;
91 #else
92 	u.bits[0] |= 0x7ff80000;
93 #endif
94 	return (u.d);
95 }
96 
97 float
98 nanf(const char *s)
99 {
100 	union {
101 		float f;
102 		uint32_t bits[1];
103 	} u;
104 
105 	_scan_nan(u.bits, 1, s);
106 	u.bits[0] |= 0x7fc00000;
107 	return (u.f);
108 }
109 
110 #if (LDBL_MANT_DIG == 53)
111 __weak_reference(nan, nanl);
112 #endif
113