```
static constexpr T min() noexcept;
```

For floating types with denormalization, returns the minimum positive normalized value.

Meaningful for all specializations in which is_bounded != false, or is_bounded == false && is_signed == false.

```
static constexpr T max() noexcept;
```

Meaningful for all specializations in which is_bounded != false.

```
static constexpr T lowest() noexcept;
```

Meaningful for all specializations in which is_bounded != false.

Number of radix digits that can be represented without change.

For integer types, the number of non-sign bits in the representation.

```
static constexpr int digits10;
```

Meaningful for all specializations in which is_bounded != false.

```
static constexpr int max_digits10;
```

Number of base 10 digits required to ensure that values which differ are always differentiated.

Meaningful for all floating point types.

```
static constexpr bool is_signed;
```

True if the type is signed.

Meaningful for all specializations.

```
static constexpr bool is_integer;
```

True if the type is integer.

Meaningful for all specializations.

```
static constexpr bool is_exact;
```

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.

Meaningful for all specializations.

Meaningful for all specializations.

```
static constexpr T epsilon() noexcept;
```

Machine epsilon: the difference between 1 and the least value greater than 1 that is representable.204

Meaningful for all floating point types.

```
static constexpr T round_error() noexcept;
```

```
static constexpr int min_exponent;
```

Minimum negative integer such that radix raised to the power of one less than that integer is a normalized floating point number.206

Meaningful for all floating point types.

```
static constexpr int min_exponent10;
```

Minimum negative integer such that 10 raised to that power is in the range of normalized floating point numbers.207

Meaningful for all floating point types.

```
static constexpr int max_exponent;
```

Maximum positive integer such that radix raised to the power one less than that integer is a representable finite floating point number.208

Meaningful for all floating point types.

```
static constexpr int max_exponent10;
```

Maximum positive integer such that 10 raised to that power is in the range of representable finite floating point numbers.209

Meaningful for all floating point types.

```
static constexpr bool has_infinity;
```

True if the type has a representation for positive infinity.

Meaningful for all floating point types.

Shall be true for all specializations in which is_iec559 != false.

```
static constexpr bool has_quiet_NaN;
```

Meaningful for all floating point types.

Shall be true for all specializations in which is_iec559 != false.

```
static constexpr bool has_signaling_NaN;
```

Meaningful for all floating point types.

Shall be true for all specializations in which is_iec559 != false.

```
static constexpr float_denorm_style has_denorm;
```

denorm_present if the type allows denormalized values (variable number of exponent bits)212, denorm_absent if the type does not allow denormalized values, and denorm_indeterminate if it is indeterminate at compile time whether the type allows denormalized values.

Meaningful for all floating point types.

```
static constexpr bool has_denorm_loss;
```

True if loss of accuracy is detected as a denormalization loss, rather than as an inexact result.213

```
static constexpr T infinity() noexcept;
```

Meaningful for all specializations for which has_infinity != false. Required in specializations for which is_iec559 != false.

```
static constexpr T quiet_NaN() noexcept;
```

Meaningful for all specializations for which has_quiet_NaN != false. Required in specializations for which is_iec559 != false.

```
static constexpr T signaling_NaN() noexcept;
```

Meaningful for all specializations for which has_signaling_NaN != false. Required in specializations for which is_iec559 != false.

```
static constexpr T denorm_min() noexcept;
```

Meaningful for all floating point types.

In specializations for which has_denorm == false, returns the minimum positive normalized value.

```
static constexpr bool is_iec559;
```

Meaningful for all floating point types.

```
static constexpr bool is_bounded;
```

True if the set of values representable by the type is finite.219
[ *Note:* All fundamental types ([basic.fundamental]) are bounded. This member would be false for arbitrary
precision types.* — end note* ]

Meaningful for all specializations.

```
static constexpr bool is_modulo;
```

True if the type is modulo.220 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.

Meaningful for all specializations.

true if, at program startup, there exists a value of the type that would cause an arithmetic operation using that value to trap.221

Meaningful for all specializations.

```
static constexpr bool tinyness_before;
```

Meaningful for all floating point types.

```
static constexpr float_round_style round_style;
```

Meaningful for all floating point types. Specializations for integer types shall return round_toward_zero.

Equivalent to CHAR_MIN, SHRT_MIN, FLT_MIN, DBL_MIN, etc.

Equivalent to CHAR_MAX, SHRT_MAX, FLT_MAX, DBL_MAX, etc.

lowest() is necessary because not all floating-point representations have a smallest (most negative) value that is the negative of the largest (most positive) finite value.

Equivalent to FLT_MANT_DIG, DBL_MANT_DIG, LDBL_MANT_DIG.

Equivalent to FLT_DIG, DBL_DIG, LDBL_DIG.

Equivalent to FLT_RADIX.

Distinguishes types with bases other than 2 (e.g. BCD).

Equivalent to FLT_EPSILON, DBL_EPSILON, LDBL_EPSILON.

Rounding error is described in ISO/IEC 10967-1 Language independent arithmetic - Part 1 Section 5.2.8 and Annex A Rationale Section A.5.2.8 - Rounding constants.

Equivalent to FLT_MIN_EXP, DBL_MIN_EXP, LDBL_MIN_EXP.

Equivalent to FLT_MIN_10_EXP, DBL_MIN_10_EXP, LDBL_MIN_10_EXP.

Equivalent to FLT_MAX_EXP, DBL_MAX_EXP, LDBL_MAX_EXP.

Equivalent to FLT_MAX_10_EXP, DBL_MAX_10_EXP, LDBL_MAX_10_EXP.

Required by LIA-1.

Required by LIA-1.

Required by LIA-1.

See IEC 559.

Required by LIA-1.

Required by LIA-1.

Required by LIA-1.

Required by LIA-1.

International Electrotechnical Commission standard 559 is the same as IEEE 754.

Required by LIA-1.

Required by LIA-1.

Required by LIA-1.

Refer to IEC 559. Required by LIA-1.

Equivalent to FLT_ROUNDS. Required by LIA-1.