18dffb485Schristos /* A correct <float.h>. 28dffb485Schristos 3*4b169a6bSchristos Copyright (C) 2007-2022 Free Software Foundation, Inc. 48dffb485Schristos 5*4b169a6bSchristos This file is free software: you can redistribute it and/or modify 6*4b169a6bSchristos it under the terms of the GNU Lesser General Public License as 7*4b169a6bSchristos published by the Free Software Foundation; either version 2.1 of the 8*4b169a6bSchristos License, or (at your option) any later version. 98dffb485Schristos 10*4b169a6bSchristos This file is distributed in the hope that it will be useful, 118dffb485Schristos but WITHOUT ANY WARRANTY; without even the implied warranty of 128dffb485Schristos MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 13*4b169a6bSchristos GNU Lesser General Public License for more details. 148dffb485Schristos 15*4b169a6bSchristos You should have received a copy of the GNU Lesser General Public License 168dffb485Schristos along with this program. If not, see <https://www.gnu.org/licenses/>. */ 178dffb485Schristos 188dffb485Schristos #ifndef _@GUARD_PREFIX@_FLOAT_H 198dffb485Schristos 208dffb485Schristos #if __GNUC__ >= 3 218dffb485Schristos @PRAGMA_SYSTEM_HEADER@ 228dffb485Schristos #endif 238dffb485Schristos @PRAGMA_COLUMNS@ 248dffb485Schristos 258dffb485Schristos /* The include_next requires a split double-inclusion guard. */ 268dffb485Schristos #@INCLUDE_NEXT@ @NEXT_FLOAT_H@ 278dffb485Schristos 288dffb485Schristos #ifndef _@GUARD_PREFIX@_FLOAT_H 298dffb485Schristos #define _@GUARD_PREFIX@_FLOAT_H 308dffb485Schristos 318dffb485Schristos /* 'long double' properties. */ 328dffb485Schristos 338dffb485Schristos #if defined __i386__ && (defined __BEOS__ || defined __OpenBSD__) 348dffb485Schristos /* Number of mantissa units, in base FLT_RADIX. */ 358dffb485Schristos # undef LDBL_MANT_DIG 368dffb485Schristos # define LDBL_MANT_DIG 64 378dffb485Schristos /* Number of decimal digits that is sufficient for representing a number. */ 388dffb485Schristos # undef LDBL_DIG 398dffb485Schristos # define LDBL_DIG 18 408dffb485Schristos /* x-1 where x is the smallest representable number > 1. */ 418dffb485Schristos # undef LDBL_EPSILON 428dffb485Schristos # define LDBL_EPSILON 1.0842021724855044340E-19L 438dffb485Schristos /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */ 448dffb485Schristos # undef LDBL_MIN_EXP 458dffb485Schristos # define LDBL_MIN_EXP (-16381) 468dffb485Schristos /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */ 478dffb485Schristos # undef LDBL_MAX_EXP 488dffb485Schristos # define LDBL_MAX_EXP 16384 498dffb485Schristos /* Minimum positive normalized number. */ 508dffb485Schristos # undef LDBL_MIN 518dffb485Schristos # define LDBL_MIN 3.3621031431120935063E-4932L 528dffb485Schristos /* Maximum representable finite number. */ 538dffb485Schristos # undef LDBL_MAX 548dffb485Schristos # define LDBL_MAX 1.1897314953572317650E+4932L 558dffb485Schristos /* Minimum e such that 10^e is in the range of normalized numbers. */ 568dffb485Schristos # undef LDBL_MIN_10_EXP 578dffb485Schristos # define LDBL_MIN_10_EXP (-4931) 588dffb485Schristos /* Maximum e such that 10^e is in the range of representable finite numbers. */ 598dffb485Schristos # undef LDBL_MAX_10_EXP 608dffb485Schristos # define LDBL_MAX_10_EXP 4932 618dffb485Schristos #endif 628dffb485Schristos 638dffb485Schristos /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of 648dffb485Schristos precision in the compiler but 64 bits of precision at runtime. See 658dffb485Schristos <https://lists.gnu.org/r/bug-gnulib/2008-07/msg00063.html>. */ 668dffb485Schristos #if defined __i386__ && (defined __FreeBSD__ || defined __DragonFly__) 678dffb485Schristos /* Number of mantissa units, in base FLT_RADIX. */ 688dffb485Schristos # undef LDBL_MANT_DIG 698dffb485Schristos # define LDBL_MANT_DIG 64 708dffb485Schristos /* Number of decimal digits that is sufficient for representing a number. */ 718dffb485Schristos # undef LDBL_DIG 728dffb485Schristos # define LDBL_DIG 18 738dffb485Schristos /* x-1 where x is the smallest representable number > 1. */ 748dffb485Schristos # undef LDBL_EPSILON 758dffb485Schristos # define LDBL_EPSILON 1.084202172485504434007452800869941711426e-19L /* 2^-63 */ 768dffb485Schristos /* Minimum e such that FLT_RADIX^(e-1) is a normalized number. */ 778dffb485Schristos # undef LDBL_MIN_EXP 788dffb485Schristos # define LDBL_MIN_EXP (-16381) 798dffb485Schristos /* Maximum e such that FLT_RADIX^(e-1) is a representable finite number. */ 808dffb485Schristos # undef LDBL_MAX_EXP 818dffb485Schristos # define LDBL_MAX_EXP 16384 828dffb485Schristos /* Minimum positive normalized number. */ 838dffb485Schristos # undef LDBL_MIN 848dffb485Schristos # define LDBL_MIN 3.362103143112093506262677817321752E-4932L /* = 0x1p-16382L */ 858dffb485Schristos /* Maximum representable finite number. */ 868dffb485Schristos # undef LDBL_MAX 878dffb485Schristos /* LDBL_MAX is represented as { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }. 888dffb485Schristos But the largest literal that GCC allows us to write is 898dffb485Schristos 0x0.fffffffffffff8p16384L = { 0xFFFFF800, 0xFFFFFFFF, 32766 }. 908dffb485Schristos So, define it like this through a reference to an external variable 918dffb485Schristos 928dffb485Schristos const unsigned int LDBL_MAX[3] = { 0xFFFFFFFF, 0xFFFFFFFF, 32766 }; 938dffb485Schristos extern const long double LDBL_MAX; 948dffb485Schristos 958dffb485Schristos Unfortunately, this is not a constant expression. */ 96*4b169a6bSchristos # if !GNULIB_defined_long_double_union 978dffb485Schristos union gl_long_double_union 988dffb485Schristos { 998dffb485Schristos struct { unsigned int lo; unsigned int hi; unsigned int exponent; } xd; 1008dffb485Schristos long double ld; 1018dffb485Schristos }; 102*4b169a6bSchristos # define GNULIB_defined_long_double_union 1 103*4b169a6bSchristos # endif 1048dffb485Schristos extern const union gl_long_double_union gl_LDBL_MAX; 1058dffb485Schristos # define LDBL_MAX (gl_LDBL_MAX.ld) 1068dffb485Schristos /* Minimum e such that 10^e is in the range of normalized numbers. */ 1078dffb485Schristos # undef LDBL_MIN_10_EXP 1088dffb485Schristos # define LDBL_MIN_10_EXP (-4931) 1098dffb485Schristos /* Maximum e such that 10^e is in the range of representable finite numbers. */ 1108dffb485Schristos # undef LDBL_MAX_10_EXP 1118dffb485Schristos # define LDBL_MAX_10_EXP 4932 1128dffb485Schristos #endif 1138dffb485Schristos 1148dffb485Schristos /* On AIX 7.1 with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_MAX are 1158dffb485Schristos wrong. 1168dffb485Schristos On Linux/PowerPC with gcc 4.4, the value of LDBL_MAX is wrong. */ 1178dffb485Schristos #if (defined _ARCH_PPC || defined _POWER) && defined _AIX && (LDBL_MANT_DIG == 106) && defined __GNUC__ 1188dffb485Schristos # undef LDBL_MIN_EXP 1198dffb485Schristos # define LDBL_MIN_EXP DBL_MIN_EXP 1208dffb485Schristos # undef LDBL_MIN_10_EXP 1218dffb485Schristos # define LDBL_MIN_10_EXP DBL_MIN_10_EXP 1228dffb485Schristos # undef LDBL_MIN 1238dffb485Schristos # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */ 1248dffb485Schristos #endif 1258dffb485Schristos #if (defined _ARCH_PPC || defined _POWER) && (defined _AIX || defined __linux__) && (LDBL_MANT_DIG == 106) && defined __GNUC__ 1268dffb485Schristos # undef LDBL_MAX 1278dffb485Schristos /* LDBL_MAX is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xFFFFFFFF }. 1288dffb485Schristos It is not easy to define: 1298dffb485Schristos #define LDBL_MAX 1.79769313486231580793728971405302307166e308L 1308dffb485Schristos is too small, whereas 1318dffb485Schristos #define LDBL_MAX 1.79769313486231580793728971405302307167e308L 1328dffb485Schristos is too large. Apparently a bug in GCC decimal-to-binary conversion. 1338dffb485Schristos Also, I can't get values larger than 1348dffb485Schristos #define LDBL63 ((long double) (1ULL << 63)) 1358dffb485Schristos #define LDBL882 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) 1368dffb485Schristos #define LDBL945 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) 1378dffb485Schristos #define LDBL1008 (LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63 * LDBL63) 1388dffb485Schristos #define LDBL_MAX (LDBL1008 * 65535.0L + LDBL945 * (long double) 9223372036821221375ULL + LDBL882 * (long double) 4611686018427387904ULL) 1398dffb485Schristos which is represented as { 0x7FEFFFFF, 0xFFFFFFFF, 0x7C8FFFFF, 0xF8000000 }. 1408dffb485Schristos So, define it like this through a reference to an external variable 1418dffb485Schristos 1428dffb485Schristos const double LDBL_MAX[2] = { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL }; 1438dffb485Schristos extern const long double LDBL_MAX; 1448dffb485Schristos 1458dffb485Schristos or through a pointer cast 1468dffb485Schristos 1478dffb485Schristos #define LDBL_MAX \ 1488dffb485Schristos (*(const long double *) (double[]) { DBL_MAX, DBL_MAX / (double)134217728UL / (double)134217728UL }) 1498dffb485Schristos 1508dffb485Schristos Unfortunately, this is not a constant expression, and the latter expression 1518dffb485Schristos does not work well when GCC is optimizing.. */ 152*4b169a6bSchristos # if !GNULIB_defined_long_double_union 1538dffb485Schristos union gl_long_double_union 1548dffb485Schristos { 1558dffb485Schristos struct { double hi; double lo; } dd; 1568dffb485Schristos long double ld; 1578dffb485Schristos }; 158*4b169a6bSchristos # define GNULIB_defined_long_double_union 1 159*4b169a6bSchristos # endif 1608dffb485Schristos extern const union gl_long_double_union gl_LDBL_MAX; 1618dffb485Schristos # define LDBL_MAX (gl_LDBL_MAX.ld) 1628dffb485Schristos #endif 1638dffb485Schristos 1648dffb485Schristos /* On IRIX 6.5, with cc, the value of LDBL_MANT_DIG is wrong. 1658dffb485Schristos On IRIX 6.5, with gcc 4.2, the values of LDBL_MIN_EXP, LDBL_MIN, LDBL_EPSILON 1668dffb485Schristos are wrong. */ 1678dffb485Schristos #if defined __sgi && (LDBL_MANT_DIG >= 106) 1688dffb485Schristos # undef LDBL_MANT_DIG 1698dffb485Schristos # define LDBL_MANT_DIG 106 1708dffb485Schristos # if defined __GNUC__ 1718dffb485Schristos # undef LDBL_MIN_EXP 1728dffb485Schristos # define LDBL_MIN_EXP DBL_MIN_EXP 1738dffb485Schristos # undef LDBL_MIN_10_EXP 1748dffb485Schristos # define LDBL_MIN_10_EXP DBL_MIN_10_EXP 1758dffb485Schristos # undef LDBL_MIN 1768dffb485Schristos # define LDBL_MIN 2.22507385850720138309023271733240406422e-308L /* DBL_MIN = 2^-1022 */ 1778dffb485Schristos # undef LDBL_EPSILON 1788dffb485Schristos # define LDBL_EPSILON 2.46519032881566189191165176650870696773e-32L /* 2^-105 */ 1798dffb485Schristos # endif 1808dffb485Schristos #endif 1818dffb485Schristos 1828dffb485Schristos #if @REPLACE_ITOLD@ 1838dffb485Schristos /* Pull in a function that fixes the 'int' to 'long double' conversion 1848dffb485Schristos of glibc 2.7. */ 1858dffb485Schristos extern 1868dffb485Schristos # ifdef __cplusplus 1878dffb485Schristos "C" 1888dffb485Schristos # endif 1898dffb485Schristos void _Qp_itoq (long double *, int); 1908dffb485Schristos static void (*_gl_float_fix_itold) (long double *, int) = _Qp_itoq; 1918dffb485Schristos #endif 1928dffb485Schristos 1938dffb485Schristos #endif /* _@GUARD_PREFIX@_FLOAT_H */ 1948dffb485Schristos #endif /* _@GUARD_PREFIX@_FLOAT_H */ 195