std::numeric_limits< _Tp >(3)

NAME
std::numeric_limits< _Tp > - Properties of fundamental types.

SYNOPSIS

#include <limits>

Inherits std::__numeric_limits_base.

Inherited by std::numeric_limits< const _Tp >, std::numeric_limits< const volatile _Tp >, and std::numeric_limits< volatile _Tp >.

  Static Public Member Functions
static constexpr _Tp denorm_min () noexcept
static constexpr _Tp epsilon () noexcept
static constexpr _Tp infinity () noexcept
static constexpr _Tp lowest () noexcept
static constexpr _Tp max () noexcept
static constexpr _Tp min () noexcept
static constexpr _Tp quiet_NaN () noexcept
static constexpr _Tp round_error () noexcept
static constexpr _Tp signaling_NaN () noexcept

  Static Public Attributes
static constexpr int digits
static constexpr int digits10
static constexpr float_denorm_style has_denorm
static constexpr bool has_denorm_loss
static constexpr bool has_infinity
static constexpr bool has_quiet_NaN
static constexpr bool has_signaling_NaN
static constexpr bool is_bounded
static constexpr bool is_exact
static constexpr bool is_iec559
static constexpr bool is_integer
static constexpr bool is_modulo
static constexpr bool is_signed
static constexpr bool is_specialized
static constexpr int max_digits10
static constexpr int max_exponent
static constexpr int max_exponent10
static constexpr int min_exponent
static constexpr int min_exponent10
static constexpr int radix
static constexpr float_round_style round_style
static constexpr bool tinyness_before
static constexpr bool traps

Detailed Description

  template<typename _Tp>
struct std::numeric_limits< _Tp >"Properties of fundamental types. This class allows a program to obtain information about the representation of a fundamental type on a given platform. For non-fundamental types, the functions will return 0 and the data members will all be false.

Member Function Documentation

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::denorm_min () [inline], [static], [constexpr], [noexcept]
The minimum positive denormalized value. For types where has_denorm is false, this is the minimum positive normalized value.

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::epsilon () [inline], [static], [constexpr], [noexcept]
The machine epsilon: the difference between 1 and the least value greater than 1 that is representable.

Referenced by std::generate_canonical(), std::binomial_distribution< _IntType >::operator()(), std::poisson_distribution< _IntType >::operator()(), and std::operator<<().

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::infinity () [inline], [static], [constexpr], [noexcept]
The representation of positive infinity, if has_infinity.

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::lowest () [inline], [static], [constexpr], [noexcept]
A finite value x such that there is no other finite value y where y < x.

Referenced by std::cauchy_distribution< _RealType >::min(), std::extreme_value_distribution< _RealType >::min(), std::normal_distribution< _RealType >::min(), and std::student_t_distribution< _RealType >::min().

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::max () [inline], [static], [constexpr], [noexcept]
The maximum finite value.

Referenced by std::bernoulli_distribution::max(), std::cauchy_distribution< _RealType >::max(), std::chi_squared_distribution< _RealType >::max(), std::exponential_distribution< _RealType >::max(), std::extreme_value_distribution< _RealType >::max(), std::fisher_f_distribution< _RealType >::max(), std::gamma_distribution< _RealType >::max(), std::geometric_distribution< _IntType >::max(), std::lognormal_distribution< _RealType >::max(), std::negative_binomial_distribution< _IntType >::max(), std::normal_distribution< _RealType >::max(), std::poisson_distribution< _IntType >::max(), std::student_t_distribution< _RealType >::max(), std::weibull_distribution< _RealType >::max(), std::tr2::dynamic_bitset< _WordT, _Alloc >::max_size(), std::binomial_distribution< _IntType >::operator()(), std::independent_bits_engine< _RandomNumberEngine, __w, _UIntType >::operator()(), std::poisson_distribution< _IntType >::operator()(), and std::operator<<().

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::min () [inline], [static], [constexpr], [noexcept]
The minimum finite value, or for floating types with denormalization, the minimum positive normalized value.

Referenced by std::bernoulli_distribution::min().

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::quiet_NaN () [inline], [static], [constexpr], [noexcept]
The representation of a quiet Not a Number, if has_quiet_NaN.

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::round_error () [inline], [static], [constexpr], [noexcept]
The maximum rounding error measurement (see LIA-1).

  template<typename _Tp > static constexpr _Tp std::numeric_limits< _Tp >::signaling_NaN () [inline], [static], [constexpr], [noexcept]
The representation of a signaling Not a Number, if has_signaling_NaN.

Member Data Documentation

  int std::__numeric_limits_base::digits [static], [constexpr], [inherited]
The number of radix digits that be represented without change: for integer types, the number of non-sign bits in the mantissa; for floating types, the number of radix digits in the mantissa.

  int std::__numeric_limits_base::digits10 [static], [constexpr], [inherited]
The number of base 10 digits that can be represented without change.

  float_denorm_style std::__numeric_limits_base::has_denorm [static], [constexpr], [inherited]
See std::float_denorm_style for more information.

  bool std::__numeric_limits_base::has_denorm_loss [static], [constexpr], [inherited]
True if loss of accuracy is detected as a denormalization loss, rather than as an inexact result.

  bool std::__numeric_limits_base::has_infinity [static], [constexpr], [inherited]
True if the type has a representation for positive infinity.

  bool std::__numeric_limits_base::has_quiet_NaN [static], [constexpr], [inherited]
True if the type has a representation for a quiet (non-signaling) Not a Number.

  bool std::__numeric_limits_base::has_signaling_NaN [static], [constexpr], [inherited]
True if the type has a representation for a signaling Not a Number.

  bool std::__numeric_limits_base::is_bounded [static], [constexpr], [inherited]
True if the set of values representable by the type is finite. All built-in types are bounded, this member would be false for arbitrary precision types.

  bool std::__numeric_limits_base::is_exact [static], [constexpr], [inherited]
True if the type uses an exact representation. All integer types are exact, but not all exact types are integer. For example, rational and fixed-exponent representations are exact but not integer.

  bool std::__numeric_limits_base::is_iec559 [static], [constexpr], [inherited]
True if-and-only-if the type adheres to the IEC 559 standard, also known as IEEE 754. (Only makes sense for floating point types.)

  bool std::__numeric_limits_base::is_integer [static], [constexpr], [inherited]
True if the type is integer.

  bool std::__numeric_limits_base::is_modulo [static], [constexpr], [inherited]
True if the type is modulo. A type is modulo if, for any operation involving +, -, or * on values of that type whose result would fall outside the range [min(),max()], the value returned differs from the true value by an integer multiple of max() - min() + 1. On most machines, this is false for floating types, true for unsigned integers, and true for signed integers. See PR22200 about signed integers.

  bool std::__numeric_limits_base::is_signed [static], [constexpr], [inherited]
True if the type is signed.

  bool std::__numeric_limits_base::is_specialized [static], [constexpr], [inherited]
This will be true for all fundamental types (which have specializations), and false for everything else.

  int std::__numeric_limits_base::max_digits10 [static], [constexpr], [inherited]
The number of base 10 digits required to ensure that values which differ are always differentiated.

  int std::__numeric_limits_base::max_exponent [static], [constexpr], [inherited]
The maximum positive integer such that radix raised to the power of (one less than that integer) is a representable finite floating point number.

  int std::__numeric_limits_base::max_exponent10 [static], [constexpr], [inherited]
The maximum positive integer such that 10 raised to that power is in the range of representable finite floating point numbers.

  int std::__numeric_limits_base::min_exponent [static], [constexpr], [inherited]
The minimum negative integer such that radix raised to the power of (one less than that integer) is a normalized floating point number.

  int std::__numeric_limits_base::min_exponent10 [static], [constexpr], [inherited]
The minimum negative integer such that 10 raised to that power is in the range of normalized floating point numbers.

  int std::__numeric_limits_base::radix [static], [constexpr], [inherited]
For integer types, specifies the base of the representation. For floating types, specifies the base of the exponent representation.

  float_round_style std::__numeric_limits_base::round_style [static], [constexpr], [inherited]
See std::float_round_style for more information. This is only meaningful for floating types; integer types will all be round_toward_zero.

  bool std::__numeric_limits_base::tinyness_before [static], [constexpr], [inherited]
True if tininess is detected before rounding. (see IEC 559)

  bool std::__numeric_limits_base::traps [static], [constexpr], [inherited]
True if trapping is implemented for this type.

Author

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