half Limits

Constants

HALF_DENORM_MIN

Smallest positive denormalized half.

HALF_NRM_MIN

Smallest positive normalized half.

HALF_MIN

Smallest positive normalized half.

HALF_MAX

Largest positive half.

HALF_EPSILON

Smallest positive e for which half(1.0 + e) != half(1.0)

HALF_MANT_DIG

Number of digits in mantissa (significand + hidden leading 1)

HALF_DIG

Number of base 10 digits that can be represented without change:

floor( (HALF_MANT_DIG - 1) * log10(2) ) => 3.01… -> 3

HALF_DECIMAL_DIG

Number of base-10 digits that are necessary to uniquely represent all distinct values:

ceil(HALF_MANT_DIG * log10(2) + 1) => 4.31… -> 5

HALF_RADIX

Base of the exponent.

HALF_DENORM_MIN_EXP

Minimum negative integer such that HALF_RADIX raised to the power of one less than that integer is a normalized half.

HALF_MAX_EXP

Maximum positive integer such that HALF_RADIX raised to the power of one less than that integer is a normalized half.

HALF_DENORM_MIN_10_EXP

Minimum positive integer such that 10 raised to that power is a normalized half.

HALF_MAX_10_EXP

Maximum positive integer such that 10 raised to that power is a normalized half.

std::numeric_limits<half>

The half type provides specializations for std::numeric_limits<half>:

std::numeric_limits<half>::min()	HALF_MIN
std::numeric_limits<half>::max()	HALF_MAX
std::numeric_limits<half>::lowest()	-HALF_MAX
std::numeric_limits<half>::digits	HALF_MANT_DIG
std::numeric_limits<half>::digits10	HALF_DIG
std::numeric_limits<half>::max_digits10	HALF_DECIMAL_DIG
std::numeric_limits<half>::is_signed	true
std::numeric_limits<half>::is_integer	false
std::numeric_limits<half>::is_exact	false
std::numeric_limits<half>::radix	HALF_RADIX
std::numeric_limits<half>::epsilon()	HALF_EPSILON
std::numeric_limits<half>::round_error()	0.5
std::numeric_limits<half>::min_exponent	HALF_DENORM_MIN_EXP
std::numeric_limits<half>::min_exponent10	HALF_DENORM_MIN_10_EXP
std::numeric_limits<half>::max_exponent	HALF_MAX_EXP
std::numeric_limits<half>::max_exponent10	HALF_MAX_10_EXP
std::numeric_limits<half>::has_infinity	true
std::numeric_limits<half>::has_quiet_NaN	true
std::numeric_limits<half>::has_signaling_NaN	true
std::numeric_limits<half>::has_denorm	std::denorm_present
std::numeric_limits<half>::has_denorm_loss	false
std::numeric_limits<half>::infinity()	half::posInf()
std::numeric_limits<half>::quiet_NaN()	half::qNan()
std::numeric_limits<half>::signaling_NaN()	half::sNan()
std::numeric_limits<half>::denorm_min()	HALF_DENORM_MIN