1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174
|
/* Test for NaN that does not need libm.
Copyright (C) 2007-2011 Free Software Foundation, Inc.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>. */
/* Written by Bruno Haible <bruno@clisp.org>, 2007. */
#include <config.h>
/* Specification. */
#ifdef USE_LONG_DOUBLE
/* Specification found in math.h or isnanl-nolibm.h. */
extern int rpl_isnanl (long double x);
#elif ! defined USE_FLOAT
/* Specification found in math.h or isnand-nolibm.h. */
extern int rpl_isnand (double x);
#else /* defined USE_FLOAT */
/* Specification found in math.h or isnanf-nolibm.h. */
extern int rpl_isnanf (float x);
#endif
#include <float.h>
#include <string.h>
#include "float+.h"
#ifdef USE_LONG_DOUBLE
# define FUNC rpl_isnanl
# define DOUBLE long double
# define MAX_EXP LDBL_MAX_EXP
# define MIN_EXP LDBL_MIN_EXP
# if defined LDBL_EXPBIT0_WORD && defined LDBL_EXPBIT0_BIT
# define KNOWN_EXPBIT0_LOCATION
# define EXPBIT0_WORD LDBL_EXPBIT0_WORD
# define EXPBIT0_BIT LDBL_EXPBIT0_BIT
# endif
# define SIZE SIZEOF_LDBL
# define L_(literal) literal##L
#elif ! defined USE_FLOAT
# define FUNC rpl_isnand
# define DOUBLE double
# define MAX_EXP DBL_MAX_EXP
# define MIN_EXP DBL_MIN_EXP
# if defined DBL_EXPBIT0_WORD && defined DBL_EXPBIT0_BIT
# define KNOWN_EXPBIT0_LOCATION
# define EXPBIT0_WORD DBL_EXPBIT0_WORD
# define EXPBIT0_BIT DBL_EXPBIT0_BIT
# endif
# define SIZE SIZEOF_DBL
# define L_(literal) literal
#else /* defined USE_FLOAT */
# define FUNC rpl_isnanf
# define DOUBLE float
# define MAX_EXP FLT_MAX_EXP
# define MIN_EXP FLT_MIN_EXP
# if defined FLT_EXPBIT0_WORD && defined FLT_EXPBIT0_BIT
# define KNOWN_EXPBIT0_LOCATION
# define EXPBIT0_WORD FLT_EXPBIT0_WORD
# define EXPBIT0_BIT FLT_EXPBIT0_BIT
# endif
# define SIZE SIZEOF_FLT
# define L_(literal) literal##f
#endif
#define EXP_MASK ((MAX_EXP - MIN_EXP) | 7)
#define NWORDS \
((sizeof (DOUBLE) + sizeof (unsigned int) - 1) / sizeof (unsigned int))
typedef union { DOUBLE value; unsigned int word[NWORDS]; } memory_double;
int
FUNC (DOUBLE x)
{
#ifdef KNOWN_EXPBIT0_LOCATION
# if defined USE_LONG_DOUBLE && ((defined __ia64 && LDBL_MANT_DIG == 64) || (defined __x86_64__ || defined __amd64__) || (defined __i386 || defined __i386__ || defined _I386 || defined _M_IX86 || defined _X86_))
/* Special CPU dependent code is needed to treat bit patterns outside the
IEEE 754 specification (such as Pseudo-NaNs, Pseudo-Infinities,
Pseudo-Zeroes, Unnormalized Numbers, and Pseudo-Denormals) as NaNs.
These bit patterns are:
- exponent = 0x0001..0x7FFF, mantissa bit 63 = 0,
- exponent = 0x0000, mantissa bit 63 = 1.
The NaN bit pattern is:
- exponent = 0x7FFF, mantissa >= 0x8000000000000001. */
memory_double m;
unsigned int exponent;
m.value = x;
exponent = (m.word[EXPBIT0_WORD] >> EXPBIT0_BIT) & EXP_MASK;
# ifdef WORDS_BIGENDIAN
/* Big endian: EXPBIT0_WORD = 0, EXPBIT0_BIT = 16. */
if (exponent == 0)
return 1 & (m.word[0] >> 15);
else if (exponent == EXP_MASK)
return (((m.word[0] ^ 0x8000U) << 16) | m.word[1] | (m.word[2] >> 16)) != 0;
else
return 1 & ~(m.word[0] >> 15);
# else
/* Little endian: EXPBIT0_WORD = 2, EXPBIT0_BIT = 0. */
if (exponent == 0)
return (m.word[1] >> 31);
else if (exponent == EXP_MASK)
return ((m.word[1] ^ 0x80000000U) | m.word[0]) != 0;
else
return (m.word[1] >> 31) ^ 1;
# endif
# else
/* Be careful to not do any floating-point operation on x, such as x == x,
because x may be a signaling NaN. */
# if defined __TINYC__ || defined __SUNPRO_C || defined __DECC \
|| (defined __sgi && !defined __GNUC__) || defined __ICC
/* The Sun C 5.0, Intel ICC 10.0, and Compaq (ex-DEC) 6.4 compilers don't
recognize the initializers as constant expressions. The latter compiler
also fails when constant-folding 0.0 / 0.0 even when constant-folding is
not required. The SGI MIPSpro C compiler complains about "floating-point
operation result is out of range". */
static DOUBLE zero = L_(0.0);
memory_double nan;
DOUBLE plus_inf = L_(1.0) / L_(0.0);
DOUBLE minus_inf = -L_(1.0) / L_(0.0);
nan.value = zero / zero;
# else
static memory_double nan = { L_(0.0) / L_(0.0) };
static DOUBLE plus_inf = L_(1.0) / L_(0.0);
static DOUBLE minus_inf = -L_(1.0) / L_(0.0);
# endif
{
memory_double m;
/* A NaN can be recognized through its exponent. But exclude +Infinity and
-Infinity, which have the same exponent. */
m.value = x;
if (((m.word[EXPBIT0_WORD] ^ nan.word[EXPBIT0_WORD])
& (EXP_MASK << EXPBIT0_BIT))
== 0)
return (memcmp (&m.value, &plus_inf, SIZE) != 0
&& memcmp (&m.value, &minus_inf, SIZE) != 0);
else
return 0;
}
# endif
#else
/* The configuration did not find sufficient information. Give up about
the signaling NaNs, handle only the quiet NaNs. */
if (x == x)
{
# if defined USE_LONG_DOUBLE && ((defined __ia64 && LDBL_MANT_DIG == 64) || (defined __x86_64__ || defined __amd64__) || (defined __i386 || defined __i386__ || defined _I386 || defined _M_IX86 || defined _X86_))
/* Detect any special bit patterns that pass ==; see comment above. */
memory_double m1;
memory_double m2;
memset (&m1.value, 0, SIZE);
memset (&m2.value, 0, SIZE);
m1.value = x;
m2.value = x + (x ? 0.0L : -0.0L);
if (memcmp (&m1.value, &m2.value, SIZE) != 0)
return 1;
# endif
return 0;
}
else
return 1;
#endif
}
|