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|
// The template and inlines for the -*- C++ -*- numeric_limits classes.
// Copyright (C) 2000-2001 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library. This library 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 2, or (at your option)
// any later version.
// This library 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 library; see the file COPYING. If not, write to the Free
// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
// USA.
// As a special exception, you may use this file as part of a free software
// library without restriction. Specifically, if other files instantiate
// templates or use macros or inline functions from this file, or you compile
// this file and link it with other files to produce an executable, this
// file does not by itself cause the resulting executable to be covered by
// the GNU General Public License. This exception does not however
// invalidate any other reasons why the executable file might be covered by
// the GNU General Public License.
// Note: this is not a conforming implementation.
// Written by Gabriel Dos Reis <Gabriel.Dos-Reis@cmla.ens-cachan.fr>
//
// ISO 14882:1998
// 18.2.1
//
/** @file limits_generic.h
* ISO 14882:1998
* 18.2.1
*/
#ifndef _CPP_NUMERIC_LIMITS
#define _CPP_NUMERIC_LIMITS 1
#pragma GCC system_header
#include <bits/c++config.h>
#include <bits/std_cfloat.h>
#include <bits/std_climits.h>
#if defined( _GLIBCPP_USE_WCHAR_T)
#include <bits/std_cwchar.h>
#endif
namespace std {
/// Rounding style determines the behavior of floating-point calculations.
enum float_round_style {
round_indeterminate = -1,
round_toward_zero = 0,
round_to_nearest = 1,
round_toward_infinity = 2,
round_toward_neg_infinity = 3
};
/// This enum signals whether a type has denormalization.
enum float_denorm_style {
denorm_indeterminate = -1,
denorm_absent = 0,
denorm_present = 1
};
/**
* [18.2.1]/1: "The numeric_limits component provides a C++ program
* with information about various properties of the implementation's
* representation of the fundamental types." All of the standard
* fundamental types have specializations of this class template.
* @brief Properties of fundamental types on a per-platform basis.
*/
template<typename _T> struct numeric_limits {
static const bool is_specialized = false;
static _T min() throw() { return static_cast<_T>(0); }
static _T max() throw() { return static_cast<_T>(0); }
static const int digits = 0;
static const int digits10 = 0;
static const bool is_signed = false;
static const bool is_integer = false;
static const bool is_exact = false;
static const int radix = 0;
static _T epsilon() throw() { return static_cast<_T>(0); }
static _T round_error() throw() { return static_cast<_T>(0); }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static _T infinity() throw() { return static_cast<_T>(0); }
static _T quiet_NaN() throw() { return static_cast<_T>(0); }
static _T signaling_NaN() throw() { return static_cast<_T>(0); }
static _T denorm_min() throw() { return static_cast<_T>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = false;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<typename _T> _T __limits_infinity();
template<typename _T> _T __limits_quiet_NaN();
template<typename _T> _T __limits_signaling_NaN();
template<typename _T> _T __limits_denorm_min();
template<> struct numeric_limits<bool> {
static const bool is_specialized = true;
static bool min() throw()
{ return false; }
static bool max() throw()
{ return true; }
static const int digits = 1;
static const int digits10 = 0;
static const bool is_signed = false;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static bool epsilon() throw()
{ return 0; }
static bool round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static bool infinity() throw()
{ return static_cast<bool>(0); }
static bool quiet_NaN() throw()
{ return static_cast<bool>(0); }
static bool signaling_NaN() throw()
{ return static_cast<bool>(0); }
static bool denorm_min() throw()
{ return static_cast<bool>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<char> {
static const bool is_specialized = true;
static char min() throw()
{ return CHAR_MIN; }
static char max() throw()
{ return CHAR_MAX; }
static const int digits = 7;
static const int digits10 = 2;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static char epsilon() throw()
{ return 0; }
static char round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static char infinity() throw()
{ return static_cast<char>(0); }
static char quiet_NaN() throw()
{ return static_cast<char>(0); }
static char signaling_NaN() throw()
{ return static_cast<char>(0); }
static char denorm_min() throw()
{ return static_cast<char>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<signed char> {
static const bool is_specialized = true;
static signed char min() throw()
{ return SCHAR_MIN; }
static signed char max() throw()
{ return SCHAR_MAX; }
static const int digits = 7;
static const int digits10 = 2;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static signed char epsilon() throw()
{ return 0; }
static signed char round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static signed char infinity() throw()
{ return static_cast<signed char>(0); }
static signed char quiet_NaN() throw()
{ return static_cast<signed char>(0); }
static signed char signaling_NaN() throw()
{ return static_cast<signed char>(0); }
static signed char denorm_min() throw()
{ return static_cast<signed char>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<unsigned char> {
static const bool is_specialized = true;
static unsigned char min() throw()
{ return 0; }
static unsigned char max() throw()
{ return UCHAR_MAX; }
static const int digits = 8;
static const int digits10 = 2;
static const bool is_signed = false;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static unsigned char epsilon() throw()
{ return 0; }
static unsigned char round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static unsigned char infinity() throw()
{ return static_cast<unsigned char>(0); }
static unsigned char quiet_NaN() throw()
{ return static_cast<unsigned char>(0); }
static unsigned char signaling_NaN() throw()
{ return static_cast<unsigned char>(0); }
static unsigned char denorm_min() throw()
{ return static_cast<unsigned char>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = true;
static const bool traps = true;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
#if defined( _GLIBCPP_USE_WCHAR_T)
template<> struct numeric_limits<wchar_t> {
static const bool is_specialized = true;
static wchar_t min() throw()
{ return WCHAR_MIN; }
static wchar_t max() throw()
{ return WCHAR_MAX; }
static const int digits = 31;
static const int digits10 = 9;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static wchar_t epsilon() throw()
{ return 0; }
static wchar_t round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static wchar_t infinity() throw()
{ return static_cast<wchar_t>(0); }
static wchar_t quiet_NaN() throw()
{ return static_cast<wchar_t>(0); }
static wchar_t signaling_NaN() throw()
{ return static_cast<wchar_t>(0); }
static wchar_t denorm_min() throw()
{ return static_cast<wchar_t>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
#endif
template<> struct numeric_limits<short> {
static const bool is_specialized = true;
static short min() throw()
{ return SHRT_MIN; }
static short max() throw()
{ return SHRT_MAX; }
static const int digits = 15;
static const int digits10 = 4;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static short epsilon() throw()
{ return 0; }
static short round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static short infinity() throw()
{ return static_cast<short>(0); }
static short quiet_NaN() throw()
{ return static_cast<short>(0); }
static short signaling_NaN() throw()
{ return static_cast<short>(0); }
static short denorm_min() throw()
{ return static_cast<short>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<unsigned short> {
static const bool is_specialized = true;
static unsigned short min() throw()
{ return 0; }
static unsigned short max() throw()
{ return USHRT_MAX; }
static const int digits = 16;
static const int digits10 = 4;
static const bool is_signed = false;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static unsigned short epsilon() throw()
{ return 0; }
static unsigned short round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static unsigned short infinity() throw()
{ return static_cast<unsigned short>(0); }
static unsigned short quiet_NaN() throw()
{ return static_cast<unsigned short>(0); }
static unsigned short signaling_NaN() throw()
{ return static_cast<unsigned short>(0); }
static unsigned short denorm_min() throw()
{ return static_cast<unsigned short>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = true;
static const bool traps = true;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<int> {
static const bool is_specialized = true;
static int min() throw()
{ return INT_MIN; }
static int max() throw()
{ return INT_MAX; }
static const int digits = 31;
static const int digits10 = 9;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static int epsilon() throw()
{ return 0; }
static int round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static int infinity() throw()
{ return static_cast<int>(0); }
static int quiet_NaN() throw()
{ return static_cast<int>(0); }
static int signaling_NaN() throw()
{ return static_cast<int>(0); }
static int denorm_min() throw()
{ return static_cast<int>(0); }
static const bool is_iec559 = true;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<unsigned int> {
static const bool is_specialized = true;
static unsigned int min() throw()
{ return 0; }
static unsigned int max() throw()
{ return UINT_MAX; }
static const int digits = 32;
static const int digits10 = 9;
static const bool is_signed = false;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static unsigned int epsilon() throw()
{ return 0; }
static unsigned int round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static unsigned int infinity() throw()
{ return static_cast<unsigned int>(0); }
static unsigned int quiet_NaN() throw()
{ return static_cast<unsigned int>(0); }
static unsigned int signaling_NaN() throw()
{ return static_cast<unsigned int>(0); }
static unsigned int denorm_min() throw()
{ return static_cast<unsigned int>(0); }
static const bool is_iec559 = true;
static const bool is_bounded = true;
static const bool is_modulo = true;
static const bool traps = true;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<long> {
static const bool is_specialized = true;
static long min() throw()
{ return LONG_MIN; }
static long max() throw()
{ return LONG_MAX; }
static const int digits = 31;
static const int digits10 = 9;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static long epsilon() throw()
{ return 0; }
static long round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static long infinity() throw()
{ return static_cast<long>(0); }
static long quiet_NaN() throw()
{ return static_cast<long>(0); }
static long signaling_NaN() throw()
{ return static_cast<long>(0); }
static long denorm_min() throw()
{ return static_cast<long>(0); }
static const bool is_iec559 = true;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<unsigned long> {
static const bool is_specialized = true;
static unsigned long min() throw()
{ return 0; }
static unsigned long max() throw()
{ return ULONG_MAX; }
static const int digits = 32;
static const int digits10 = 9;
static const bool is_signed = false;
static const bool is_integer = true;
static const bool is_exact = true;
static const int radix = 2;
static unsigned long epsilon() throw()
{ return 0; }
static unsigned long round_error() throw()
{ return 0; }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
static const int max_exponent = 0;
static const int max_exponent10 = 0;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static unsigned long infinity() throw()
{ return static_cast<unsigned long>(0); }
static unsigned long quiet_NaN() throw()
{ return static_cast<unsigned long>(0); }
static unsigned long signaling_NaN() throw()
{ return static_cast<unsigned long>(0); }
static unsigned long denorm_min() throw()
{ return static_cast<unsigned long>(0); }
static const bool is_iec559 = true;
static const bool is_bounded = true;
static const bool is_modulo = true;
static const bool traps = true;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<float> {
static const bool is_specialized = true;
static float min() throw()
{ return FLT_MIN; }
static float max() throw()
{ return FLT_MAX; }
static const int digits = FLT_MANT_DIG;
static const int digits10 = FLT_DIG;
static const bool is_signed = true;
static const bool is_integer = false;
static const bool is_exact = false;
static const int radix = FLT_RADIX;
static float epsilon() throw()
{ return FLT_EPSILON; }
static float round_error() throw()
{ return FLT_ROUNDS; }
static const int min_exponent = FLT_MIN_EXP;
static const int min_exponent10 = FLT_MIN_10_EXP;
static const int max_exponent = FLT_MAX_EXP;
static const int max_exponent10 = FLT_MAX_10_EXP;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static float infinity() throw()
{ return static_cast<float>(0); }
static float quiet_NaN() throw()
{ return static_cast<float>(0); }
static float signaling_NaN() throw()
{ return static_cast<float>(0); }
static float denorm_min() throw()
{ return static_cast<float>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<double> {
static const bool is_specialized = true;
static double min() throw()
{ return DBL_MIN; }
static double max() throw()
{ return DBL_MAX; }
static const int digits = DBL_MANT_DIG;
static const int digits10 = DBL_DIG;
static const bool is_signed = true;
static const bool is_integer = false;
static const bool is_exact = false;
static const int radix = 2;
static double epsilon() throw()
{ return DBL_EPSILON; }
static double round_error() throw()
{ return 1.0; }
static const int min_exponent = DBL_MIN_EXP;
static const int min_exponent10 = DBL_MIN_10_EXP;
static const int max_exponent = DBL_MAX_EXP;
static const int max_exponent10 = DBL_MAX_10_EXP;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static double infinity() throw()
{ return static_cast<double>(0); }
static double quiet_NaN() throw()
{ return static_cast<double>(0); }
static double signaling_NaN() throw()
{ return static_cast<double>(0); }
static double denorm_min() throw()
{ return static_cast<double>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
template<> struct numeric_limits<long double> {
static const bool is_specialized = true;
static double min() throw()
{ return LDBL_MIN; }
static double max() throw()
{ return LDBL_MAX; }
static const int digits = LDBL_MANT_DIG;
static const int digits10 = LDBL_DIG;
static const bool is_signed = true;
static const bool is_integer = false;
static const bool is_exact = false;
static const int radix = 2;
static double epsilon() throw()
{ return LDBL_EPSILON; }
static double round_error() throw()
{ return 1.0L; }
static const int min_exponent = LDBL_MIN_EXP;
static const int min_exponent10 = LDBL_MIN_10_EXP;
static const int max_exponent = LDBL_MAX_EXP;
static const int max_exponent10 = LDBL_MAX_10_EXP;
static const bool has_infinity = false;
static const bool has_quiet_NaN = false;
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
static double infinity() throw()
{ return static_cast<double>(0); }
static double quiet_NaN() throw()
{ return static_cast<double>(0); }
static double signaling_NaN() throw()
{ return static_cast<double>(0); }
static double denorm_min() throw()
{ return static_cast<double>(0); }
static const bool is_iec559 = false;
static const bool is_bounded = true;
static const bool is_modulo = false;
static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
} // namespace std
#endif // _CPP_NUMERIC_LIMITS
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