508 lines
17 KiB
C
508 lines
17 KiB
C
/* Copyright (C) 2002-2019 Free Software Foundation, Inc.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 3, or (at your option)
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any later version.
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GCC is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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Under Section 7 of GPL version 3, you are granted additional
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permissions described in the GCC Runtime Library Exception, version
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3.1, as published by the Free Software Foundation.
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You should have received a copy of the GNU General Public License and
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a copy of the GCC Runtime Library Exception along with this program;
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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<http://www.gnu.org/licenses/>. */
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/*
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* ISO C Standard: 5.2.4.2.2 Characteristics of floating types <float.h>
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*/
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#ifndef _FLOAT_H___
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#define _FLOAT_H___
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/* Radix of exponent representation, b. */
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#undef FLT_RADIX
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#define FLT_RADIX __FLT_RADIX__
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/* Number of base-FLT_RADIX digits in the significand, p. */
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#undef FLT_MANT_DIG
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#undef DBL_MANT_DIG
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#undef LDBL_MANT_DIG
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#define FLT_MANT_DIG __FLT_MANT_DIG__
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#define DBL_MANT_DIG __DBL_MANT_DIG__
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#define LDBL_MANT_DIG __LDBL_MANT_DIG__
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/* Number of decimal digits, q, such that any floating-point number with q
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decimal digits can be rounded into a floating-point number with p radix b
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digits and back again without change to the q decimal digits,
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p * log10(b) if b is a power of 10
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floor((p - 1) * log10(b)) otherwise
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*/
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#undef FLT_DIG
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#undef DBL_DIG
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#undef LDBL_DIG
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#define FLT_DIG __FLT_DIG__
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#define DBL_DIG __DBL_DIG__
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#define LDBL_DIG __LDBL_DIG__
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/* Minimum int x such that FLT_RADIX**(x-1) is a normalized float, emin */
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#undef FLT_MIN_EXP
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#undef DBL_MIN_EXP
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#undef LDBL_MIN_EXP
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#define FLT_MIN_EXP __FLT_MIN_EXP__
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#define DBL_MIN_EXP __DBL_MIN_EXP__
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#define LDBL_MIN_EXP __LDBL_MIN_EXP__
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/* Minimum negative integer such that 10 raised to that power is in the
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range of normalized floating-point numbers,
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ceil(log10(b) * (emin - 1))
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*/
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#undef FLT_MIN_10_EXP
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#undef DBL_MIN_10_EXP
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#undef LDBL_MIN_10_EXP
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#define FLT_MIN_10_EXP __FLT_MIN_10_EXP__
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#define DBL_MIN_10_EXP __DBL_MIN_10_EXP__
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#define LDBL_MIN_10_EXP __LDBL_MIN_10_EXP__
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/* Maximum int x such that FLT_RADIX**(x-1) is a representable float, emax. */
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#undef FLT_MAX_EXP
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#undef DBL_MAX_EXP
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#undef LDBL_MAX_EXP
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#define FLT_MAX_EXP __FLT_MAX_EXP__
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#define DBL_MAX_EXP __DBL_MAX_EXP__
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#define LDBL_MAX_EXP __LDBL_MAX_EXP__
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/* Maximum integer such that 10 raised to that power is in the range of
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representable finite floating-point numbers,
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floor(log10((1 - b**-p) * b**emax))
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*/
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#undef FLT_MAX_10_EXP
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#undef DBL_MAX_10_EXP
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#undef LDBL_MAX_10_EXP
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#define FLT_MAX_10_EXP __FLT_MAX_10_EXP__
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#define DBL_MAX_10_EXP __DBL_MAX_10_EXP__
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#define LDBL_MAX_10_EXP __LDBL_MAX_10_EXP__
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/* Maximum representable finite floating-point number,
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(1 - b**-p) * b**emax
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*/
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#undef FLT_MAX
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#undef DBL_MAX
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#undef LDBL_MAX
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#define FLT_MAX __FLT_MAX__
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#define DBL_MAX __DBL_MAX__
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#define LDBL_MAX __LDBL_MAX__
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/* The difference between 1 and the least value greater than 1 that is
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representable in the given floating point type, b**1-p. */
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#undef FLT_EPSILON
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#undef DBL_EPSILON
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#undef LDBL_EPSILON
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#define FLT_EPSILON __FLT_EPSILON__
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#define DBL_EPSILON __DBL_EPSILON__
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#define LDBL_EPSILON __LDBL_EPSILON__
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/* Minimum normalized positive floating-point number, b**(emin - 1). */
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#undef FLT_MIN
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#undef DBL_MIN
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#undef LDBL_MIN
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#define FLT_MIN __FLT_MIN__
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#define DBL_MIN __DBL_MIN__
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#define LDBL_MIN __LDBL_MIN__
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/* Addition rounds to 0: zero, 1: nearest, 2: +inf, 3: -inf, -1: unknown. */
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/* ??? This is supposed to change with calls to fesetround in <fenv.h>. */
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#undef FLT_ROUNDS
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#define FLT_ROUNDS 1
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#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L) \
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|| (defined (__cplusplus) && __cplusplus >= 201103L)
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/* The floating-point expression evaluation method. The precise
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definitions of these values are generalised to include support for
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the interchange and extended types defined in ISO/IEC TS 18661-3.
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Prior to this (for C99/C11) the definitions were:
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-1 indeterminate
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0 evaluate all operations and constants just to the range and
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precision of the type
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1 evaluate operations and constants of type float and double
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to the range and precision of the double type, evaluate
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long double operations and constants to the range and
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precision of the long double type
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2 evaluate all operations and constants to the range and
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precision of the long double type
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The TS 18661-3 definitions are:
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-1 indeterminate
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0 evaluate all operations and constants, whose semantic type has
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at most the range and precision of float, to the range and
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precision of float; evaluate all other operations and constants
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to the range and precision of the semantic type.
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1 evaluate all operations and constants, whose semantic type has
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at most the range and precision of double, to the range and
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precision of double; evaluate all other operations and constants
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to the range and precision of the semantic type.
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2 evaluate all operations and constants, whose semantic type has
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at most the range and precision of long double, to the range and
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precision of long double; evaluate all other operations and
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constants to the range and precision of the semantic type.
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N where _FloatN is a supported interchange floating type
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evaluate all operations and constants, whose semantic type has
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at most the range and precision of the _FloatN type, to the
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range and precision of the _FloatN type; evaluate all other
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operations and constants to the range and precision of the
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semantic type.
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N + 1, where _FloatNx is a supported extended floating type
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evaluate operations and constants, whose semantic type has at
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most the range and precision of the _FloatNx type, to the range
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and precision of the _FloatNx type; evaluate all other
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operations and constants to the range and precision of the
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semantic type.
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The compiler predefines two macros:
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__FLT_EVAL_METHOD__
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Which, depending on the value given for
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-fpermitted-flt-eval-methods, may be limited to only those values
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for FLT_EVAL_METHOD defined in C99/C11.
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__FLT_EVAL_METHOD_TS_18661_3__
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Which always permits the values for FLT_EVAL_METHOD defined in
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ISO/IEC TS 18661-3.
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Here we want to use __FLT_EVAL_METHOD__, unless
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__STDC_WANT_IEC_60559_TYPES_EXT__ is defined, in which case the user
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is specifically asking for the ISO/IEC TS 18661-3 types, so we use
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__FLT_EVAL_METHOD_TS_18661_3__.
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??? This ought to change with the setting of the fp control word;
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the value provided by the compiler assumes the widest setting. */
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#undef FLT_EVAL_METHOD
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#ifdef __STDC_WANT_IEC_60559_TYPES_EXT__
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#define FLT_EVAL_METHOD __FLT_EVAL_METHOD_TS_18661_3__
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#else
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#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
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#endif
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/* Number of decimal digits, n, such that any floating-point number in the
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widest supported floating type with pmax radix b digits can be rounded
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to a floating-point number with n decimal digits and back again without
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change to the value,
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pmax * log10(b) if b is a power of 10
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ceil(1 + pmax * log10(b)) otherwise
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*/
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#undef DECIMAL_DIG
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#define DECIMAL_DIG __DECIMAL_DIG__
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#endif /* C99 */
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#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) \
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|| (defined (__cplusplus) && __cplusplus >= 201703L)
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/* Versions of DECIMAL_DIG for each floating-point type. */
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#undef FLT_DECIMAL_DIG
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#undef DBL_DECIMAL_DIG
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#undef LDBL_DECIMAL_DIG
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#define FLT_DECIMAL_DIG __FLT_DECIMAL_DIG__
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#define DBL_DECIMAL_DIG __DBL_DECIMAL_DIG__
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#define LDBL_DECIMAL_DIG __LDBL_DECIMAL_DIG__
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/* Whether types support subnormal numbers. */
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#undef FLT_HAS_SUBNORM
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#undef DBL_HAS_SUBNORM
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#undef LDBL_HAS_SUBNORM
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#define FLT_HAS_SUBNORM __FLT_HAS_DENORM__
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#define DBL_HAS_SUBNORM __DBL_HAS_DENORM__
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#define LDBL_HAS_SUBNORM __LDBL_HAS_DENORM__
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/* Minimum positive values, including subnormals. */
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#undef FLT_TRUE_MIN
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#undef DBL_TRUE_MIN
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#undef LDBL_TRUE_MIN
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#define FLT_TRUE_MIN __FLT_DENORM_MIN__
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#define DBL_TRUE_MIN __DBL_DENORM_MIN__
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#define LDBL_TRUE_MIN __LDBL_DENORM_MIN__
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#endif /* C11 */
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#ifdef __STDC_WANT_IEC_60559_BFP_EXT__
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/* Number of decimal digits for which conversions between decimal
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character strings and binary formats, in both directions, are
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correctly rounded. */
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#define CR_DECIMAL_DIG __UINTMAX_MAX__
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#endif
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#ifdef __STDC_WANT_IEC_60559_TYPES_EXT__
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/* Constants for _FloatN and _FloatNx types from TS 18661-3. See
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comments above for their semantics. */
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#ifdef __FLT16_MANT_DIG__
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#undef FLT16_MANT_DIG
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#define FLT16_MANT_DIG __FLT16_MANT_DIG__
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#undef FLT16_DIG
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#define FLT16_DIG __FLT16_DIG__
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#undef FLT16_MIN_EXP
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#define FLT16_MIN_EXP __FLT16_MIN_EXP__
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#undef FLT16_MIN_10_EXP
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#define FLT16_MIN_10_EXP __FLT16_MIN_10_EXP__
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#undef FLT16_MAX_EXP
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#define FLT16_MAX_EXP __FLT16_MAX_EXP__
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#undef FLT16_MAX_10_EXP
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#define FLT16_MAX_10_EXP __FLT16_MAX_10_EXP__
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#undef FLT16_MAX
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#define FLT16_MAX __FLT16_MAX__
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#undef FLT16_EPSILON
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#define FLT16_EPSILON __FLT16_EPSILON__
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#undef FLT16_MIN
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#define FLT16_MIN __FLT16_MIN__
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#undef FLT16_DECIMAL_DIG
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#define FLT16_DECIMAL_DIG __FLT16_DECIMAL_DIG__
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#undef FLT16_TRUE_MIN
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#define FLT16_TRUE_MIN __FLT16_DENORM_MIN__
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#endif /* __FLT16_MANT_DIG__. */
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#ifdef __FLT32_MANT_DIG__
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#undef FLT32_MANT_DIG
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#define FLT32_MANT_DIG __FLT32_MANT_DIG__
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#undef FLT32_DIG
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#define FLT32_DIG __FLT32_DIG__
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#undef FLT32_MIN_EXP
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#define FLT32_MIN_EXP __FLT32_MIN_EXP__
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#undef FLT32_MIN_10_EXP
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#define FLT32_MIN_10_EXP __FLT32_MIN_10_EXP__
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#undef FLT32_MAX_EXP
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#define FLT32_MAX_EXP __FLT32_MAX_EXP__
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#undef FLT32_MAX_10_EXP
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#define FLT32_MAX_10_EXP __FLT32_MAX_10_EXP__
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#undef FLT32_MAX
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#define FLT32_MAX __FLT32_MAX__
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#undef FLT32_EPSILON
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#define FLT32_EPSILON __FLT32_EPSILON__
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#undef FLT32_MIN
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#define FLT32_MIN __FLT32_MIN__
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#undef FLT32_DECIMAL_DIG
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#define FLT32_DECIMAL_DIG __FLT32_DECIMAL_DIG__
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#undef FLT32_TRUE_MIN
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#define FLT32_TRUE_MIN __FLT32_DENORM_MIN__
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#endif /* __FLT32_MANT_DIG__. */
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#ifdef __FLT64_MANT_DIG__
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#undef FLT64_MANT_DIG
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#define FLT64_MANT_DIG __FLT64_MANT_DIG__
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#undef FLT64_DIG
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#define FLT64_DIG __FLT64_DIG__
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#undef FLT64_MIN_EXP
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#define FLT64_MIN_EXP __FLT64_MIN_EXP__
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#undef FLT64_MIN_10_EXP
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#define FLT64_MIN_10_EXP __FLT64_MIN_10_EXP__
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#undef FLT64_MAX_EXP
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#define FLT64_MAX_EXP __FLT64_MAX_EXP__
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#undef FLT64_MAX_10_EXP
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#define FLT64_MAX_10_EXP __FLT64_MAX_10_EXP__
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#undef FLT64_MAX
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#define FLT64_MAX __FLT64_MAX__
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#undef FLT64_EPSILON
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#define FLT64_EPSILON __FLT64_EPSILON__
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#undef FLT64_MIN
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#define FLT64_MIN __FLT64_MIN__
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#undef FLT64_DECIMAL_DIG
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#define FLT64_DECIMAL_DIG __FLT64_DECIMAL_DIG__
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#undef FLT64_TRUE_MIN
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#define FLT64_TRUE_MIN __FLT64_DENORM_MIN__
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#endif /* __FLT64_MANT_DIG__. */
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#ifdef __FLT128_MANT_DIG__
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#undef FLT128_MANT_DIG
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#define FLT128_MANT_DIG __FLT128_MANT_DIG__
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#undef FLT128_DIG
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#define FLT128_DIG __FLT128_DIG__
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#undef FLT128_MIN_EXP
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#define FLT128_MIN_EXP __FLT128_MIN_EXP__
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#undef FLT128_MIN_10_EXP
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#define FLT128_MIN_10_EXP __FLT128_MIN_10_EXP__
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#undef FLT128_MAX_EXP
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#define FLT128_MAX_EXP __FLT128_MAX_EXP__
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#undef FLT128_MAX_10_EXP
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#define FLT128_MAX_10_EXP __FLT128_MAX_10_EXP__
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#undef FLT128_MAX
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#define FLT128_MAX __FLT128_MAX__
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#undef FLT128_EPSILON
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#define FLT128_EPSILON __FLT128_EPSILON__
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#undef FLT128_MIN
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#define FLT128_MIN __FLT128_MIN__
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#undef FLT128_DECIMAL_DIG
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#define FLT128_DECIMAL_DIG __FLT128_DECIMAL_DIG__
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#undef FLT128_TRUE_MIN
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#define FLT128_TRUE_MIN __FLT128_DENORM_MIN__
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#endif /* __FLT128_MANT_DIG__. */
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#ifdef __FLT32X_MANT_DIG__
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#undef FLT32X_MANT_DIG
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#define FLT32X_MANT_DIG __FLT32X_MANT_DIG__
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#undef FLT32X_DIG
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#define FLT32X_DIG __FLT32X_DIG__
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#undef FLT32X_MIN_EXP
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#define FLT32X_MIN_EXP __FLT32X_MIN_EXP__
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#undef FLT32X_MIN_10_EXP
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#define FLT32X_MIN_10_EXP __FLT32X_MIN_10_EXP__
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#undef FLT32X_MAX_EXP
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#define FLT32X_MAX_EXP __FLT32X_MAX_EXP__
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#undef FLT32X_MAX_10_EXP
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#define FLT32X_MAX_10_EXP __FLT32X_MAX_10_EXP__
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#undef FLT32X_MAX
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#define FLT32X_MAX __FLT32X_MAX__
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#undef FLT32X_EPSILON
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#define FLT32X_EPSILON __FLT32X_EPSILON__
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#undef FLT32X_MIN
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#define FLT32X_MIN __FLT32X_MIN__
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#undef FLT32X_DECIMAL_DIG
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#define FLT32X_DECIMAL_DIG __FLT32X_DECIMAL_DIG__
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#undef FLT32X_TRUE_MIN
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#define FLT32X_TRUE_MIN __FLT32X_DENORM_MIN__
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#endif /* __FLT32X_MANT_DIG__. */
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#ifdef __FLT64X_MANT_DIG__
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#undef FLT64X_MANT_DIG
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#define FLT64X_MANT_DIG __FLT64X_MANT_DIG__
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#undef FLT64X_DIG
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#define FLT64X_DIG __FLT64X_DIG__
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#undef FLT64X_MIN_EXP
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#define FLT64X_MIN_EXP __FLT64X_MIN_EXP__
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#undef FLT64X_MIN_10_EXP
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#define FLT64X_MIN_10_EXP __FLT64X_MIN_10_EXP__
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#undef FLT64X_MAX_EXP
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#define FLT64X_MAX_EXP __FLT64X_MAX_EXP__
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#undef FLT64X_MAX_10_EXP
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#define FLT64X_MAX_10_EXP __FLT64X_MAX_10_EXP__
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#undef FLT64X_MAX
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#define FLT64X_MAX __FLT64X_MAX__
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#undef FLT64X_EPSILON
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#define FLT64X_EPSILON __FLT64X_EPSILON__
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#undef FLT64X_MIN
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#define FLT64X_MIN __FLT64X_MIN__
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#undef FLT64X_DECIMAL_DIG
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#define FLT64X_DECIMAL_DIG __FLT64X_DECIMAL_DIG__
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#undef FLT64X_TRUE_MIN
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#define FLT64X_TRUE_MIN __FLT64X_DENORM_MIN__
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#endif /* __FLT64X_MANT_DIG__. */
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#ifdef __FLT128X_MANT_DIG__
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#undef FLT128X_MANT_DIG
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#define FLT128X_MANT_DIG __FLT128X_MANT_DIG__
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#undef FLT128X_DIG
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#define FLT128X_DIG __FLT128X_DIG__
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#undef FLT128X_MIN_EXP
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#define FLT128X_MIN_EXP __FLT128X_MIN_EXP__
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#undef FLT128X_MIN_10_EXP
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#define FLT128X_MIN_10_EXP __FLT128X_MIN_10_EXP__
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#undef FLT128X_MAX_EXP
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#define FLT128X_MAX_EXP __FLT128X_MAX_EXP__
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#undef FLT128X_MAX_10_EXP
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#define FLT128X_MAX_10_EXP __FLT128X_MAX_10_EXP__
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#undef FLT128X_MAX
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#define FLT128X_MAX __FLT128X_MAX__
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#undef FLT128X_EPSILON
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#define FLT128X_EPSILON __FLT128X_EPSILON__
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#undef FLT128X_MIN
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#define FLT128X_MIN __FLT128X_MIN__
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#undef FLT128X_DECIMAL_DIG
|
|
#define FLT128X_DECIMAL_DIG __FLT128X_DECIMAL_DIG__
|
|
#undef FLT128X_TRUE_MIN
|
|
#define FLT128X_TRUE_MIN __FLT128X_DENORM_MIN__
|
|
#endif /* __FLT128X_MANT_DIG__. */
|
|
|
|
#endif /* __STDC_WANT_IEC_60559_TYPES_EXT__. */
|
|
|
|
#ifdef __STDC_WANT_DEC_FP__
|
|
/* Draft Technical Report 24732, extension for decimal floating-point
|
|
arithmetic: Characteristic of decimal floating types <float.h>. */
|
|
|
|
/* Number of base-FLT_RADIX digits in the significand, p. */
|
|
#undef DEC32_MANT_DIG
|
|
#undef DEC64_MANT_DIG
|
|
#undef DEC128_MANT_DIG
|
|
#define DEC32_MANT_DIG __DEC32_MANT_DIG__
|
|
#define DEC64_MANT_DIG __DEC64_MANT_DIG__
|
|
#define DEC128_MANT_DIG __DEC128_MANT_DIG__
|
|
|
|
/* Minimum exponent. */
|
|
#undef DEC32_MIN_EXP
|
|
#undef DEC64_MIN_EXP
|
|
#undef DEC128_MIN_EXP
|
|
#define DEC32_MIN_EXP __DEC32_MIN_EXP__
|
|
#define DEC64_MIN_EXP __DEC64_MIN_EXP__
|
|
#define DEC128_MIN_EXP __DEC128_MIN_EXP__
|
|
|
|
/* Maximum exponent. */
|
|
#undef DEC32_MAX_EXP
|
|
#undef DEC64_MAX_EXP
|
|
#undef DEC128_MAX_EXP
|
|
#define DEC32_MAX_EXP __DEC32_MAX_EXP__
|
|
#define DEC64_MAX_EXP __DEC64_MAX_EXP__
|
|
#define DEC128_MAX_EXP __DEC128_MAX_EXP__
|
|
|
|
/* Maximum representable finite decimal floating-point number
|
|
(there are 6, 15, and 33 9s after the decimal points respectively). */
|
|
#undef DEC32_MAX
|
|
#undef DEC64_MAX
|
|
#undef DEC128_MAX
|
|
#define DEC32_MAX __DEC32_MAX__
|
|
#define DEC64_MAX __DEC64_MAX__
|
|
#define DEC128_MAX __DEC128_MAX__
|
|
|
|
/* The difference between 1 and the least value greater than 1 that is
|
|
representable in the given floating point type. */
|
|
#undef DEC32_EPSILON
|
|
#undef DEC64_EPSILON
|
|
#undef DEC128_EPSILON
|
|
#define DEC32_EPSILON __DEC32_EPSILON__
|
|
#define DEC64_EPSILON __DEC64_EPSILON__
|
|
#define DEC128_EPSILON __DEC128_EPSILON__
|
|
|
|
/* Minimum normalized positive floating-point number. */
|
|
#undef DEC32_MIN
|
|
#undef DEC64_MIN
|
|
#undef DEC128_MIN
|
|
#define DEC32_MIN __DEC32_MIN__
|
|
#define DEC64_MIN __DEC64_MIN__
|
|
#define DEC128_MIN __DEC128_MIN__
|
|
|
|
/* Minimum subnormal positive floating-point number. */
|
|
#undef DEC32_SUBNORMAL_MIN
|
|
#undef DEC64_SUBNORMAL_MIN
|
|
#undef DEC128_SUBNORMAL_MIN
|
|
#define DEC32_SUBNORMAL_MIN __DEC32_SUBNORMAL_MIN__
|
|
#define DEC64_SUBNORMAL_MIN __DEC64_SUBNORMAL_MIN__
|
|
#define DEC128_SUBNORMAL_MIN __DEC128_SUBNORMAL_MIN__
|
|
|
|
/* The floating-point expression evaluation method.
|
|
-1 indeterminate
|
|
0 evaluate all operations and constants just to the range and
|
|
precision of the type
|
|
1 evaluate operations and constants of type _Decimal32
|
|
and _Decimal64 to the range and precision of the _Decimal64
|
|
type, evaluate _Decimal128 operations and constants to the
|
|
range and precision of the _Decimal128 type;
|
|
2 evaluate all operations and constants to the range and
|
|
precision of the _Decimal128 type. */
|
|
|
|
#undef DEC_EVAL_METHOD
|
|
#define DEC_EVAL_METHOD __DEC_EVAL_METHOD__
|
|
|
|
#endif /* __STDC_WANT_DEC_FP__ */
|
|
|
|
#endif /* _FLOAT_H___ */
|