Classes
struct	binary_specialized

struct	binary_specialized< half, half >

struct	binary_t
	Tag type for binary construction. More...

struct	bits
	Type traits for floating point bits. More...

struct	bits< const T >

struct	bits< const volatile T >

struct	bits< double >
	Unsigned integer of (at least) 64 bits width. More...

struct	bits< float >
	Unsigned integer of (at least) 32 bits width. More...

struct	bits< volatile T >

struct	bool_type
	Helper for tag dispatching. More...

struct	conditional
	Conditional type. More...

struct	conditional< false, T, F >

struct	enable

struct	enable< T, expr, expr, expr >

struct	enable< T, expr, expr, half >

struct	enable< T, expr, expr, void >

struct	enable< T, expr, half, expr >

struct	enable< T, expr, half, half >

struct	enable< T, expr, half, void >

struct	enable< T, expr, void, void >

struct	enable< T, half, expr, expr >

struct	enable< T, half, expr, half >

struct	enable< T, half, expr, void >

struct	enable< T, half, half, expr >

struct	enable< T, half, half, half >

struct	enable< T, half, half, void >

struct	enable< T, half, void, void >

struct	expr

struct	functions
	Wrapper implementing unspecialized half-precision functions. More...

struct	half_caster

struct	half_caster< half, expr, R >

struct	half_caster< half, half, R >

struct	half_caster< half, U, R >

struct	half_caster< T, expr, R >

struct	half_caster< T, half, R >

struct	is_float
	Type traits for floating point types. More...

struct	is_float< const T >

struct	is_float< const volatile T >

struct	is_float< double >

struct	is_float< float >

struct	is_float< long double >

struct	is_float< volatile T >

struct	result

struct	result< half, half >

struct	unary_specialized

struct	unary_specialized< expr >

Typedefs
typedef bool_type< true >	true_type

typedef bool_type< false >	false_type

typedef unsigned short	uint16
	Unsigned integer of (at least) 16 bits width. More...

Functions
Classification helpers
template<typename T >
bool	builtin_isinf (T arg)

template<typename T >
bool	builtin_isnan (T arg)

template<typename T >
bool	builtin_signbit (T arg)

Conversion
template<std::float_round_style R>
uint16	float2half_impl (float value, true_type)

template<std::float_round_style R>
uint16	float2half_impl (double value, true_type)

template<std::float_round_style R, typename T >
uint16	float2half_impl (T value,...)

template<std::float_round_style R, typename T >
uint16	float2half (T value)

template<std::float_round_style R, bool S, typename T >
uint16	int2half_impl (T value)

template<std::float_round_style R, typename T >
uint16	int2half (T value)

float	half2float_impl (uint16 value, float, true_type)

double	half2float_impl (uint16 value, double, true_type)

template<typename T >
T	half2float_impl (uint16 value, T,...)

template<typename T >
T	half2float (uint16 value)

template<std::float_round_style R, bool E, typename T >
T	half2int_impl (uint16 value)

template<std::float_round_style R, typename T >
T	half2int (uint16 value)

template<typename T >
T	half2int_up (uint16 value)

template<std::float_round_style R, bool E>
uint16	round_half_impl (uint16 value)

template<std::float_round_style R>
uint16	round_half (uint16 value)

uint16	round_half_up (uint16 value)

Comparison operators
template<typename T , typename U >
enable< bool, T, U >::type	operator== (T x, U y)

template<typename T , typename U >
enable< bool, T, U >::type	operator!= (T x, U y)

template<typename T , typename U >
enable< bool, T, U >::type	operator< (T x, U y)

template<typename T , typename U >
enable< bool, T, U >::type	operator> (T x, U y)

template<typename T , typename U >
enable< bool, T, U >::type	operator<= (T x, U y)

template<typename T , typename U >
enable< bool, T, U >::type	operator>= (T x, U y)

Arithmetic operators
template<typename T , typename U >
enable< expr, T, U >::type	operator+ (T x, U y)

template<typename T , typename U >
enable< expr, T, U >::type	operator- (T x, U y)

template<typename T , typename U >
enable< expr, T, U >::type	operator* (T x, U y)

template<typename T , typename U >
enable< expr, T, U >::type	operator/ (T x, U y)

template<typename T >
HALF_CONSTEXPR enable< T, T >::type	operator+ (T arg)

template<typename T >
HALF_CONSTEXPR enable< T, T >::type	operator- (T arg)

Input and output
template<typename T , typename charT , typename traits >
enable< std::basic_ostream< charT, traits > &, T >::type	operator<< (std::basic_ostream< charT, traits > &out, T arg)

template<typename charT , typename traits >
std::basic_istream< charT, traits > &	operator>> (std::basic_istream< charT, traits > &in, half &arg)

Basic mathematical operations
half	abs (half arg)

expr	abs (expr arg)

half	fabs (half arg)

expr	fabs (expr arg)

expr	fmod (half x, half y)

expr	fmod (half x, expr y)

expr	fmod (expr x, half y)

expr	fmod (expr x, expr y)

expr	remainder (half x, half y)

expr	remainder (half x, expr y)

expr	remainder (expr x, half y)

expr	remainder (expr x, expr y)

expr	remquo (half x, half y, int *quo)

expr	remquo (half x, expr y, int *quo)

expr	remquo (expr x, half y, int *quo)

expr	remquo (expr x, expr y, int *quo)

expr	fma (half x, half y, half z)

expr	fma (half x, half y, expr z)

expr	fma (half x, expr y, half z)

expr	fma (half x, expr y, expr z)

expr	fma (expr x, half y, half z)

expr	fma (expr x, half y, expr z)

expr	fma (expr x, expr y, half z)

expr	fma (expr x, expr y, expr z)

half	fmax (half x, half y)

expr	fmax (half x, expr y)

expr	fmax (expr x, half y)

expr	fmax (expr x, expr y)

half	fmin (half x, half y)

expr	fmin (half x, expr y)

expr	fmin (expr x, half y)

expr	fmin (expr x, expr y)

expr	fdim (half x, half y)

expr	fdim (half x, expr y)

expr	fdim (expr x, half y)

expr	fdim (expr x, expr y)

half	nanh (const char *)

Exponential functions
expr	exp (half arg)

expr	exp (expr arg)

expr	expm1 (half arg)

expr	expm1 (expr arg)

expr	exp2 (half arg)

expr	exp2 (expr arg)

expr	log (half arg)

expr	log (expr arg)

expr	log10 (half arg)

expr	log10 (expr arg)

expr	log1p (half arg)

expr	log1p (expr arg)

expr	log2 (half arg)

expr	log2 (expr arg)

Power functions
expr	sqrt (half arg)

expr	sqrt (expr arg)

expr	cbrt (half arg)

expr	cbrt (expr arg)

expr	hypot (half x, half y)

expr	hypot (half x, expr y)

expr	hypot (expr x, half y)

expr	hypot (expr x, expr y)

expr	pow (half base, half exp)

expr	pow (half base, expr exp)

expr	pow (expr base, half exp)

expr	pow (expr base, expr exp)

Trigonometric functions
expr	sin (half arg)

expr	sin (expr arg)

expr	cos (half arg)

expr	cos (expr arg)

expr	tan (half arg)

expr	tan (expr arg)

expr	asin (half arg)

expr	asin (expr arg)

expr	acos (half arg)

expr	acos (expr arg)

expr	atan (half arg)

expr	atan (expr arg)

expr	atan2 (half x, half y)

expr	atan2 (half x, expr y)

expr	atan2 (expr x, half y)

expr	atan2 (expr x, expr y)

Hyperbolic functions
expr	sinh (half arg)

expr	sinh (expr arg)

expr	cosh (half arg)

expr	cosh (expr arg)

expr	tanh (half arg)

expr	tanh (expr arg)

expr	asinh (half arg)

expr	asinh (expr arg)

expr	acosh (half arg)

expr	acosh (expr arg)

expr	atanh (half arg)

expr	atanh (expr arg)

Error and gamma functions
expr	erf (half arg)

expr	erf (expr arg)

expr	erfc (half arg)

expr	erfc (expr arg)

expr	lgamma (half arg)

expr	lgamma (expr arg)

expr	tgamma (half arg)

expr	tgamma (expr arg)

Rounding
half	ceil (half arg)

half	ceil (expr arg)

half	floor (half arg)

half	floor (expr arg)

half	trunc (half arg)

half	trunc (expr arg)

half	round (half arg)

half	round (expr arg)

long	lround (half arg)

long	lround (expr arg)

half	nearbyint (half arg)

half	nearbyint (expr arg)

half	rint (half arg)

half	rint (expr arg)

long	lrint (half arg)

long	lrint (expr arg)

Floating point manipulation
half	frexp (half arg, int *exp)

half	frexp (expr arg, int *exp)

half	ldexp (half arg, int exp)

half	ldexp (expr arg, int exp)

half	modf (half arg, half *iptr)

half	modf (expr arg, half *iptr)

half	scalbn (half arg, int exp)

half	scalbn (expr arg, int exp)

half	scalbln (half arg, long exp)

half	scalbln (expr arg, long exp)

int	ilogb (half arg)

int	ilogb (expr arg)

half	logb (half arg)

half	logb (expr arg)

half	nextafter (half from, half to)

half	nextafter (half from, expr to)

half	nextafter (expr from, half to)

half	nextafter (expr from, expr to)

half	nexttoward (half from, long double to)

half	nexttoward (expr from, long double to)

half	copysign (half x, half y)

half	copysign (half x, expr y)

half	copysign (expr x, half y)

half	copysign (expr x, expr y)

Floating point classification
int	fpclassify (half arg)

int	fpclassify (expr arg)

bool	isfinite (half arg)

bool	isfinite (expr arg)

bool	isinf (half arg)

bool	isinf (expr arg)

bool	isnan (half arg)

bool	isnan (expr arg)

bool	isnormal (half arg)

bool	isnormal (expr arg)

bool	signbit (half arg)

bool	signbit (expr arg)

Comparison
bool	isgreater (half x, half y)

bool	isgreater (half x, expr y)

bool	isgreater (expr x, half y)

bool	isgreater (expr x, expr y)

bool	isgreaterequal (half x, half y)

bool	isgreaterequal (half x, expr y)

bool	isgreaterequal (expr x, half y)

bool	isgreaterequal (expr x, expr y)

bool	isless (half x, half y)

bool	isless (half x, expr y)

bool	isless (expr x, half y)

bool	isless (expr x, expr y)

bool	islessequal (half x, half y)

bool	islessequal (half x, expr y)

bool	islessequal (expr x, half y)

bool	islessequal (expr x, expr y)

bool	islessgreater (half x, half y)

bool	islessgreater (half x, expr y)

bool	islessgreater (expr x, half y)

bool	islessgreater (expr x, expr y)

bool	isunordered (half x, half y)

bool	isunordered (half x, expr y)

bool	isunordered (expr x, half y)

bool	isunordered (expr x, expr y)

Casting
template<typename T , typename U >
T	half_cast (U arg)

template<typename T , std::float_round_style R, typename U >
T	half_cast (U arg)

Variables
HALF_CONSTEXPR_CONST binary_t	binary = binary_t()
	Tag for binary construction. More...

Typedef Documentation

◆ false_type

typedef bool_type<false> false_type

Definition at line 322 of file half.hpp.

◆ true_type

typedef bool_type<true> true_type

Definition at line 321 of file half.hpp.

◆ uint16

typedef unsigned short uint16

Unsigned integer of (at least) 16 bits width.

Definition at line 393 of file half.hpp.

Function Documentation

◆ abs() [1/2]

expr half_float::detail::abs ( expr arg )

inline

Definition at line 2621 of file half.hpp.

◆ abs() [2/2]

half half_float::detail::abs ( half arg )

inline

Absolute value.

Parameters

arg operand

Returns: absolute value of arg

Definition at line 2620 of file half.hpp.

◆ acos() [1/2]

expr half_float::detail::acos ( expr arg )

inline

Definition at line 2845 of file half.hpp.

◆ acos() [2/2]

expr half_float::detail::acos ( half arg )

inline

Arc cosine function.

Parameters

arg	function argument

Returns: arc cosine value of arg

Definition at line 2844 of file half.hpp.

◆ acosh() [1/2]

expr half_float::detail::acosh ( expr arg )

inline

Definition at line 2901 of file half.hpp.

◆ acosh() [2/2]

expr half_float::detail::acosh ( half arg )

inline

Hyperbolic area cosine.

Parameters

arg	function argument

Returns: area cosine value of arg

Definition at line 2900 of file half.hpp.

◆ asin() [1/2]

expr half_float::detail::asin ( expr arg )

inline

Definition at line 2838 of file half.hpp.

◆ asin() [2/2]

expr half_float::detail::asin ( half arg )

inline

Arc sine.

Parameters

arg	function argument

Returns: arc sine value of arg

Definition at line 2837 of file half.hpp.

◆ asinh() [1/2]

expr half_float::detail::asinh ( expr arg )

inline

Definition at line 2894 of file half.hpp.

◆ asinh() [2/2]

expr half_float::detail::asinh ( half arg )

inline

Hyperbolic area sine.

Parameters

arg	function argument

Returns: area sine value of arg

Definition at line 2893 of file half.hpp.

◆ atan() [1/2]

expr half_float::detail::atan ( expr arg )

inline

Definition at line 2852 of file half.hpp.

◆ atan() [2/2]

expr half_float::detail::atan ( half arg )

inline

Arc tangent function.

Parameters

arg	function argument

Returns: arc tangent value of arg

Definition at line 2851 of file half.hpp.

◆ atan2() [1/4]

expr half_float::detail::atan2	(	expr	x,
		expr	y
	)

inline

Definition at line 2862 of file half.hpp.

◆ atan2() [2/4]

expr half_float::detail::atan2	(	expr	x,
		half	y
	)

inline

Definition at line 2861 of file half.hpp.

◆ atan2() [3/4]

expr half_float::detail::atan2	(	half	x,
		expr	y
	)

inline

Definition at line 2860 of file half.hpp.

◆ atan2() [4/4]

expr half_float::detail::atan2	(	half	x,
		half	y
	)

inline

Arc tangent function.

Parameters

x	first argument
y	second argument

Returns: arc tangent value

Definition at line 2859 of file half.hpp.

◆ atanh() [1/2]

expr half_float::detail::atanh ( expr arg )

inline

Definition at line 2908 of file half.hpp.

◆ atanh() [2/2]

expr half_float::detail::atanh ( half arg )

inline

Hyperbolic area tangent.

Parameters

arg	function argument

Returns: area tangent value of arg

Definition at line 2907 of file half.hpp.

◆ builtin_isinf()

bool half_float::detail::builtin_isinf ( T arg )

Check for infinity.

Template Parameters

T	argument type (builtin floating point type)

Parameters

arg	value to query

Return values

true	if infinity
false	else

Definition at line 546 of file half.hpp.

◆ builtin_isnan()

bool half_float::detail::builtin_isnan ( T arg )

Check for NaN.

Template Parameters

T	argument type (builtin floating point type)

Parameters

arg	value to query

Return values

true	if not a number
false	else

Definition at line 563 of file half.hpp.

◆ builtin_signbit()

bool half_float::detail::builtin_signbit ( T arg )

Check sign.

Template Parameters

T	argument type (builtin floating point type)

Parameters

arg	value to query

Return values

true	if signbit set
false	else

Definition at line 580 of file half.hpp.

◆ cbrt() [1/2]

expr half_float::detail::cbrt ( expr arg )

inline

Definition at line 2785 of file half.hpp.

◆ cbrt() [2/2]

expr half_float::detail::cbrt ( half arg )

inline

Cubic root.

Parameters

arg	function argument

Returns: cubic root of arg

Definition at line 2784 of file half.hpp.

◆ ceil() [1/2]

half half_float::detail::ceil ( expr arg )

inline

Definition at line 2951 of file half.hpp.

◆ ceil() [2/2]

half half_float::detail::ceil ( half arg )

inline

Nearest integer not less than half value.

Parameters

arg	half to round

Returns: nearest integer not less than arg

Definition at line 2950 of file half.hpp.

◆ copysign() [1/4]

half half_float::detail::copysign	(	expr	x,
		expr	y
	)

inline

Definition at line 3107 of file half.hpp.

◆ copysign() [2/4]

half half_float::detail::copysign	(	expr	x,
		half	y
	)

inline

Definition at line 3106 of file half.hpp.

◆ copysign() [3/4]

half half_float::detail::copysign	(	half	x,
		expr	y
	)

inline

Definition at line 3105 of file half.hpp.

◆ copysign() [4/4]

half half_float::detail::copysign	(	half	x,
		half	y
	)

inline

Take sign.

Parameters

x	value to change sign for
y	value to take sign from

Returns: value equal to x in magnitude and to y in sign

Definition at line 3104 of file half.hpp.

◆ cos() [1/2]

expr half_float::detail::cos ( expr arg )

inline

Definition at line 2824 of file half.hpp.

◆ cos() [2/2]

expr half_float::detail::cos ( half arg )

inline

Cosine function.

Parameters

arg	function argument

Returns: cosine value of arg

Definition at line 2823 of file half.hpp.

◆ cosh() [1/2]

expr half_float::detail::cosh ( expr arg )

inline

Definition at line 2880 of file half.hpp.

◆ cosh() [2/2]

expr half_float::detail::cosh ( half arg )

inline

Hyperbolic cosine.

Parameters

arg	function argument

Returns: hyperbolic cosine value of arg

Definition at line 2879 of file half.hpp.

◆ erf() [1/2]

expr half_float::detail::erf ( expr arg )

inline

Definition at line 2919 of file half.hpp.

◆ erf() [2/2]

expr half_float::detail::erf ( half arg )

inline

Error function.

Parameters

arg	function argument

Returns: error function value of arg

Definition at line 2918 of file half.hpp.

◆ erfc() [1/2]

expr half_float::detail::erfc ( expr arg )

inline

Definition at line 2926 of file half.hpp.

◆ erfc() [2/2]

expr half_float::detail::erfc ( half arg )

inline

Complementary error function.

Parameters

arg	function argument

Returns: 1 minus error function value of arg

Definition at line 2925 of file half.hpp.

◆ exp() [1/2]

expr half_float::detail::exp ( expr arg )

inline

Definition at line 2725 of file half.hpp.

◆ exp() [2/2]

expr half_float::detail::exp ( half arg )

inline

Exponential function.

Parameters

arg	function argument

Returns: e raised to arg

Definition at line 2724 of file half.hpp.

◆ exp2() [1/2]

expr half_float::detail::exp2 ( expr arg )

inline

Definition at line 2739 of file half.hpp.

◆ exp2() [2/2]

expr half_float::detail::exp2 ( half arg )

inline

Binary exponential.

Parameters

arg	function argument

Returns: 2 raised to arg

Definition at line 2738 of file half.hpp.

◆ expm1() [1/2]

expr half_float::detail::expm1 ( expr arg )

inline

Definition at line 2732 of file half.hpp.

◆ expm1() [2/2]

expr half_float::detail::expm1 ( half arg )

inline

Exponential minus one.

Parameters

arg	function argument

Returns: e raised to arg subtracted by 1

Definition at line 2731 of file half.hpp.

◆ fabs() [1/2]

expr half_float::detail::fabs ( expr arg )

inline

Definition at line 2628 of file half.hpp.

◆ fabs() [2/2]

half half_float::detail::fabs ( half arg )

inline

Absolute value.

Parameters

arg operand

Returns: absolute value of arg

Definition at line 2627 of file half.hpp.

◆ fdim() [1/4]

expr half_float::detail::fdim	(	expr	x,
		expr	y
	)

inline

Definition at line 2710 of file half.hpp.

◆ fdim() [2/4]

expr half_float::detail::fdim	(	expr	x,
		half	y
	)

inline

Definition at line 2709 of file half.hpp.

◆ fdim() [3/4]

expr half_float::detail::fdim	(	half	x,
		expr	y
	)

inline

Definition at line 2708 of file half.hpp.

◆ fdim() [4/4]

expr half_float::detail::fdim	(	half	x,
		half	y
	)

inline

Positive difference.

Parameters

x	first operand
y	second operand

Returns: x - y or 0 if difference negative

Definition at line 2707 of file half.hpp.

◆ float2half()

uint16 half_float::detail::float2half ( T value )

Convert floating point to half-precision.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
T	source type (builtin floating point type)

Parameters

value floating point value

Returns: binary representation of half-precision value

Definition at line 834 of file half.hpp.

◆ float2half_impl() [1/3]

uint16 half_float::detail::float2half_impl	(	double	value,
		true_type
	)

Convert IEEE double-precision to half-precision.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding

Parameters

value double-precision value

Returns: binary representation of half-precision value

Definition at line 725 of file half.hpp.

◆ float2half_impl() [2/3]

uint16 half_float::detail::float2half_impl	(	float	value,
		true_type
	)

Convert IEEE single-precision to half-precision. Credit for this goes to Jeroen van der Zijp.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding

Parameters

value single-precision value

Returns: binary representation of half-precision value

Definition at line 599 of file half.hpp.

◆ float2half_impl() [3/3]

uint16 half_float::detail::float2half_impl	(	T	value,
			...
	)

Convert non-IEEE floating point to half-precision.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
T	source type (builtin floating point type)

Parameters

value floating point value

Returns: binary representation of half-precision value

Definition at line 784 of file half.hpp.

◆ floor() [1/2]

half half_float::detail::floor ( expr arg )

inline

Definition at line 2958 of file half.hpp.

◆ floor() [2/2]

half half_float::detail::floor ( half arg )

inline

Nearest integer not greater than half value.

Parameters

arg	half to round

Returns: nearest integer not greater than arg

Definition at line 2957 of file half.hpp.

◆ fma() [1/8]

expr half_float::detail::fma	(	expr	x,
		expr	y,
		expr	z
	)

inline

Definition at line 2678 of file half.hpp.

◆ fma() [2/8]

expr half_float::detail::fma	(	expr	x,
		expr	y,
		half	z
	)

inline

Definition at line 2677 of file half.hpp.

◆ fma() [3/8]

expr half_float::detail::fma	(	expr	x,
		half	y,
		expr	z
	)

inline

Definition at line 2676 of file half.hpp.

◆ fma() [4/8]

expr half_float::detail::fma	(	expr	x,
		half	y,
		half	z
	)

inline

Definition at line 2675 of file half.hpp.

◆ fma() [5/8]

expr half_float::detail::fma	(	half	x,
		expr	y,
		expr	z
	)

inline

Definition at line 2674 of file half.hpp.

◆ fma() [6/8]

expr half_float::detail::fma	(	half	x,
		expr	y,
		half	z
	)

inline

Definition at line 2673 of file half.hpp.

◆ fma() [7/8]

expr half_float::detail::fma	(	half	x,
		half	y,
		expr	z
	)

inline

Definition at line 2672 of file half.hpp.

◆ fma() [8/8]

expr half_float::detail::fma	(	half	x,
		half	y,
		half	z
	)

inline

Fused multiply add.

Parameters

x	first operand
y	second operand
z	third operand

Returns: ( x * y ) + z rounded as one operation.

Definition at line 2671 of file half.hpp.

◆ fmax() [1/4]

expr half_float::detail::fmax	(	expr	x,
		expr	y
	)

inline

Definition at line 2689 of file half.hpp.

◆ fmax() [2/4]

expr half_float::detail::fmax	(	expr	x,
		half	y
	)

inline

Definition at line 2688 of file half.hpp.

◆ fmax() [3/4]

expr half_float::detail::fmax	(	half	x,
		expr	y
	)

inline

Definition at line 2687 of file half.hpp.

◆ fmax() [4/4]

half half_float::detail::fmax	(	half	x,
		half	y
	)

inline

Maximum of half expressions.

Parameters

x	first operand
y	second operand

Returns: maximum of operands

Definition at line 2686 of file half.hpp.

◆ fmin() [1/4]

expr half_float::detail::fmin	(	expr	x,
		expr	y
	)

inline

Definition at line 2700 of file half.hpp.

◆ fmin() [2/4]

expr half_float::detail::fmin	(	expr	x,
		half	y
	)

inline

Definition at line 2699 of file half.hpp.

◆ fmin() [3/4]

expr half_float::detail::fmin	(	half	x,
		expr	y
	)

inline

Definition at line 2698 of file half.hpp.

◆ fmin() [4/4]

half half_float::detail::fmin	(	half	x,
		half	y
	)

inline

Minimum of half expressions.

Parameters

x	first operand
y	second operand

Returns: minimum of operands

Definition at line 2697 of file half.hpp.

◆ fmod() [1/4]

expr half_float::detail::fmod	(	expr	x,
		expr	y
	)

inline

Definition at line 2638 of file half.hpp.

◆ fmod() [2/4]

expr half_float::detail::fmod	(	expr	x,
		half	y
	)

inline

Definition at line 2637 of file half.hpp.

◆ fmod() [3/4]

expr half_float::detail::fmod	(	half	x,
		expr	y
	)

inline

Definition at line 2636 of file half.hpp.

◆ fmod() [4/4]

expr half_float::detail::fmod	(	half	x,
		half	y
	)

inline

Remainder of division.

Parameters

x	first operand
y	second operand

Returns: remainder of floating point division.

Definition at line 2635 of file half.hpp.

◆ fpclassify() [1/2]

int half_float::detail::fpclassify ( expr arg )

inline

Definition at line 3122 of file half.hpp.

◆ fpclassify() [2/2]

int half_float::detail::fpclassify ( half arg )

inline

Classify floating point value.

Parameters

arg	number to classify

Return values

FP_ZERO	for positive and negative zero
FP_SUBNORMAL	for subnormal numbers
FP_INFINITY	for positive and negative infinity
FP_NAN	for NaNs
FP_NORMAL	for all other (normal) values

Definition at line 3121 of file half.hpp.

◆ frexp() [1/2]

half half_float::detail::frexp	(	expr	arg,
		int *	exp
	)

inline

Definition at line 3027 of file half.hpp.

◆ frexp() [2/2]

half half_float::detail::frexp	(	half	arg,
		int *	exp
	)

inline

Decompress floating point number.

Parameters

arg	number to decompress
exp	address to store exponent at

Returns: significant in range [0.5, 1)

Definition at line 3026 of file half.hpp.

◆ half2float()

T half_float::detail::half2float ( uint16 value )

Convert half-precision to floating point.

Template Parameters

T	type to convert to (builtin integer type)

Parameters

value binary representation of half-precision value

Returns: floating point value

Definition at line 1189 of file half.hpp.

◆ half2float_impl() [1/3]

double half_float::detail::half2float_impl	(	uint16	value,
		double	,
		true_type
	)

inline

Convert half-precision to IEEE double-precision.

Parameters

value binary representation of half-precision value

Returns: double-precision value

Definition at line 1144 of file half.hpp.

◆ half2float_impl() [2/3]

float half_float::detail::half2float_impl	(	uint16	value,
		float	,
		true_type
	)

inline

Convert half-precision to IEEE single-precision. Credit for this goes to Jeroen van der Zijp.

Parameters

value binary representation of half-precision value

Returns: single-precision value

Definition at line 903 of file half.hpp.

◆ half2float_impl() [3/3]

T half_float::detail::half2float_impl	(	uint16	value,
		T	,
			...
	)

Convert half-precision to non-IEEE floating point.

Template Parameters

T	type to convert to (builtin integer type)

Parameters

value binary representation of half-precision value

Returns: floating point value

Definition at line 1169 of file half.hpp.

◆ half2int()

T half_float::detail::half2int ( uint16 value )

Convert half-precision floating point to integer.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
T	type to convert to (buitlin integer type with at least 16 bits precision, excluding any implicit sign bits)

Parameters

value binary representation of half-precision value

Returns: integral value

Definition at line 1241 of file half.hpp.

◆ half2int_impl()

T half_float::detail::half2int_impl ( uint16 value )

Convert half-precision floating point to integer.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
E	`true` for round to even, `false` for round away from zero
T	type to convert to (buitlin integer type with at least 16 bits precision, excluding any implicit sign bits)

Parameters

value binary representation of half-precision value

Returns: integral value

Definition at line 1202 of file half.hpp.

◆ half2int_up()

T half_float::detail::half2int_up ( uint16 value )

Convert half-precision floating point to integer using round-to-nearest-away-from-zero.

Template Parameters

T	type to convert to (buitlin integer type with at least 16 bits precision, excluding any implicit sign bits)

Parameters

value binary representation of half-precision value

Returns: integral value

Definition at line 1251 of file half.hpp.

◆ half_cast() [1/2]

T half_float::detail::half_cast ( U arg )

Cast to or from half-precision floating point number. This casts between half and any built-in arithmetic type. The values are converted directly using the given rounding mode, without any roundtrip over float that a static_cast would otherwise do. It uses the default rounding mode.

Using this cast with neither of the two types being a half or with any of the two types not being a built-in arithmetic type (apart from half, of course) results in a compiler error and casting between halfs is just a no-op.

Template Parameters

T	destination type (half or built-in arithmetic type)
U	source type (half or built-in arithmetic type)

Parameters

arg	value to cast

Returns: arg converted to destination type

Definition at line 3256 of file half.hpp.

◆ half_cast() [2/2]

T half_float::detail::half_cast ( U arg )

Cast to or from half-precision floating point number. This casts between half and any built-in arithmetic type. The values are converted directly using the given rounding mode, without any roundtrip over float that a static_cast would otherwise do.

Using this cast with neither of the two types being a half or with any of the two types not being a built-in arithmetic type (apart from half, of course) results in a compiler error and casting between halfs is just a no-op.

Template Parameters

T	destination type (half or built-in arithmetic type)
R	rounding mode to use.
U	source type (half or built-in arithmetic type)

Parameters

arg	value to cast

Returns: arg converted to destination type

Definition at line 3274 of file half.hpp.

◆ hypot() [1/4]

expr half_float::detail::hypot	(	expr	x,
		expr	y
	)

inline

Definition at line 2795 of file half.hpp.

◆ hypot() [2/4]

expr half_float::detail::hypot	(	expr	x,
		half	y
	)

inline

Definition at line 2794 of file half.hpp.

◆ hypot() [3/4]

expr half_float::detail::hypot	(	half	x,
		expr	y
	)

inline

Definition at line 2793 of file half.hpp.

◆ hypot() [4/4]

expr half_float::detail::hypot	(	half	x,
		half	y
	)

inline

Hypotenuse function.

Parameters

x	first argument
y	second argument

Returns: square root of sum of squares without internal over- or underflows

Definition at line 2792 of file half.hpp.

◆ ilogb() [1/2]

int half_float::detail::ilogb ( expr arg )

inline

Definition at line 3069 of file half.hpp.

◆ ilogb() [2/2]

int half_float::detail::ilogb ( half arg )

inline

Extract exponent.

Parameters

arg	number to query

Returns: floating point exponent

Return values

FP_ILOGB0	for zero
FP_ILOGBNAN	for NaN
MAX_INT	for infinity

Definition at line 3068 of file half.hpp.

◆ int2half()

uint16 half_float::detail::int2half ( T value )

Convert integer to half-precision floating point.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
T	type to convert (builtin integer type)

Parameters

value integral value

Returns: binary representation of half-precision value

Definition at line 894 of file half.hpp.

◆ int2half_impl()

uint16 half_float::detail::int2half_impl ( T value )

Convert integer to half-precision floating point.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
S	`true` if value negative, `false` else
T	type to convert (builtin integer type)

Parameters

value non-negative integral value

Returns: binary representation of half-precision value

Definition at line 846 of file half.hpp.

◆ isfinite() [1/2]

bool half_float::detail::isfinite ( expr arg )

inline

Definition at line 3130 of file half.hpp.

◆ isfinite() [2/2]

bool half_float::detail::isfinite ( half arg )

inline

Check if finite number.

Parameters

arg	number to check

Return values

true	if neither infinity nor NaN
false	else

Definition at line 3129 of file half.hpp.

◆ isgreater() [1/4]

bool half_float::detail::isgreater	(	expr	x,
		expr	y
	)

inline

Definition at line 3179 of file half.hpp.

◆ isgreater() [2/4]

bool half_float::detail::isgreater	(	expr	x,
		half	y
	)

inline

Definition at line 3178 of file half.hpp.

◆ isgreater() [3/4]

bool half_float::detail::isgreater	(	half	x,
		expr	y
	)

inline

Definition at line 3177 of file half.hpp.

◆ isgreater() [4/4]

bool half_float::detail::isgreater	(	half	x,
		half	y
	)

inline

Comparison for greater than.

Parameters

x	first operand
y	second operand

Return values

true	if x greater than y
false	else

Definition at line 3176 of file half.hpp.

◆ isgreaterequal() [1/4]

bool half_float::detail::isgreaterequal	(	expr	x,
		expr	y
	)

inline

Definition at line 3191 of file half.hpp.

◆ isgreaterequal() [2/4]

bool half_float::detail::isgreaterequal	(	expr	x,
		half	y
	)

inline

Definition at line 3190 of file half.hpp.

◆ isgreaterequal() [3/4]

bool half_float::detail::isgreaterequal	(	half	x,
		expr	y
	)

inline

Definition at line 3189 of file half.hpp.

◆ isgreaterequal() [4/4]

bool half_float::detail::isgreaterequal	(	half	x,
		half	y
	)

inline

Comparison for greater equal.

Parameters

x	first operand
y	second operand

Return values

true	if x greater equal y
false	else

Definition at line 3188 of file half.hpp.

◆ isinf() [1/2]

bool half_float::detail::isinf ( expr arg )

inline

Definition at line 3138 of file half.hpp.

◆ isinf() [2/2]

bool half_float::detail::isinf ( half arg )

inline

Check for infinity.

Parameters

arg	number to check

Return values

true	for positive or negative infinity
false	else

Definition at line 3137 of file half.hpp.

◆ isless() [1/4]

bool half_float::detail::isless	(	expr	x,
		expr	y
	)

inline

Definition at line 3202 of file half.hpp.

◆ isless() [2/4]

bool half_float::detail::isless	(	expr	x,
		half	y
	)

inline

Definition at line 3201 of file half.hpp.

◆ isless() [3/4]

bool half_float::detail::isless	(	half	x,
		expr	y
	)

inline

Definition at line 3200 of file half.hpp.

◆ isless() [4/4]

bool half_float::detail::isless	(	half	x,
		half	y
	)

inline

Comparison for less than.

Parameters

x	first operand
y	second operand

Return values

true	if x less than y
false	else

Definition at line 3199 of file half.hpp.

◆ islessequal() [1/4]

bool half_float::detail::islessequal	(	expr	x,
		expr	y
	)

inline

Definition at line 3214 of file half.hpp.

◆ islessequal() [2/4]

bool half_float::detail::islessequal	(	expr	x,
		half	y
	)

inline

Definition at line 3213 of file half.hpp.

◆ islessequal() [3/4]

bool half_float::detail::islessequal	(	half	x,
		expr	y
	)

inline

Definition at line 3212 of file half.hpp.

◆ islessequal() [4/4]

bool half_float::detail::islessequal	(	half	x,
		half	y
	)

inline

Comparison for less equal.

Parameters

x	first operand
y	second operand

Return values

true	if x less equal y
false	else

Definition at line 3211 of file half.hpp.

◆ islessgreater() [1/4]

bool half_float::detail::islessgreater	(	expr	x,
		expr	y
	)

inline

Definition at line 3226 of file half.hpp.

◆ islessgreater() [2/4]

bool half_float::detail::islessgreater	(	expr	x,
		half	y
	)

inline

Definition at line 3225 of file half.hpp.

◆ islessgreater() [3/4]

bool half_float::detail::islessgreater	(	half	x,
		expr	y
	)

inline

Definition at line 3224 of file half.hpp.

◆ islessgreater() [4/4]

bool half_float::detail::islessgreater	(	half	x,
		half	y
	)

inline

Comarison for less or greater.

Parameters

x	first operand
y	second operand

Return values

true	if either less or greater
false	else

Definition at line 3223 of file half.hpp.

◆ isnan() [1/2]

bool half_float::detail::isnan ( expr arg )

inline

Definition at line 3146 of file half.hpp.

◆ isnan() [2/2]

bool half_float::detail::isnan ( half arg )

inline

Check for NaN.

Parameters

arg	number to check

Return values

true	for NaNs
false	else

Definition at line 3145 of file half.hpp.

◆ isnormal() [1/2]

bool half_float::detail::isnormal ( expr arg )

inline

Definition at line 3154 of file half.hpp.

◆ isnormal() [2/2]

bool half_float::detail::isnormal ( half arg )

inline

Check if normal number.

Parameters

arg	number to check

Return values

true	if normal number
false	if either subnormal, zero, infinity or NaN

Definition at line 3153 of file half.hpp.

◆ isunordered() [1/4]

bool half_float::detail::isunordered	(	expr	x,
		expr	y
	)

inline

Definition at line 3238 of file half.hpp.

◆ isunordered() [2/4]

bool half_float::detail::isunordered	(	expr	x,
		half	y
	)

inline

Definition at line 3237 of file half.hpp.

◆ isunordered() [3/4]

bool half_float::detail::isunordered	(	half	x,
		expr	y
	)

inline

Definition at line 3236 of file half.hpp.

◆ isunordered() [4/4]

bool half_float::detail::isunordered	(	half	x,
		half	y
	)

inline

Check if unordered.

Parameters

x	first operand
y	second operand

Return values

true	if unordered (one or two NaN operands)
false	else

Definition at line 3235 of file half.hpp.

◆ ldexp() [1/2]

half half_float::detail::ldexp	(	expr	arg,
		int	exp
	)

inline

Definition at line 3035 of file half.hpp.

◆ ldexp() [2/2]

half half_float::detail::ldexp	(	half	arg,
		int	exp
	)

inline

Multiply by power of two.

Parameters

arg	number to modify
exp	power of two to multiply with

Returns: arg multplied by 2 raised to exp

Definition at line 3034 of file half.hpp.

◆ lgamma() [1/2]

expr half_float::detail::lgamma ( expr arg )

inline

Definition at line 2933 of file half.hpp.

◆ lgamma() [2/2]

expr half_float::detail::lgamma ( half arg )

inline

Natural logarithm of gamma function.

Parameters

arg	function argument

Returns: natural logarith of gamma function for arg

Definition at line 2932 of file half.hpp.

◆ log() [1/2]

expr half_float::detail::log ( expr arg )

inline

Definition at line 2746 of file half.hpp.

◆ log() [2/2]

expr half_float::detail::log ( half arg )

inline

Natural logorithm.

Parameters

arg	function argument

Returns: logarithm of arg to base e

Definition at line 2745 of file half.hpp.

◆ log10() [1/2]

expr half_float::detail::log10 ( expr arg )

inline

Definition at line 2753 of file half.hpp.

◆ log10() [2/2]

expr half_float::detail::log10 ( half arg )

inline

Common logorithm.

Parameters

arg	function argument

Returns: logarithm of arg to base 10

Definition at line 2752 of file half.hpp.

◆ log1p() [1/2]

expr half_float::detail::log1p ( expr arg )

inline

Definition at line 2760 of file half.hpp.

◆ log1p() [2/2]

expr half_float::detail::log1p ( half arg )

inline

Natural logorithm.

Parameters

arg	function argument

Returns: logarithm of arg plus 1 to base e

Definition at line 2759 of file half.hpp.

◆ log2() [1/2]

expr half_float::detail::log2 ( expr arg )

inline

Definition at line 2767 of file half.hpp.

◆ log2() [2/2]

expr half_float::detail::log2 ( half arg )

inline

Binary logorithm.

Parameters

arg	function argument

Returns: logarithm of arg to base 2

Definition at line 2766 of file half.hpp.

◆ logb() [1/2]

half half_float::detail::logb ( expr arg )

inline

Definition at line 3076 of file half.hpp.

◆ logb() [2/2]

half half_float::detail::logb ( half arg )

inline

Extract exponent.

Parameters

arg	number to query

Returns: floating point exponent

Definition at line 3075 of file half.hpp.

◆ lrint() [1/2]

long half_float::detail::lrint ( expr arg )

inline

Definition at line 3000 of file half.hpp.

◆ lrint() [2/2]

long half_float::detail::lrint ( half arg )

inline

Nearest integer using half's internal rounding mode.

Parameters

arg	half expression to round

Returns: nearest integer using default rounding mode

Definition at line 2999 of file half.hpp.

◆ lround() [1/2]

long half_float::detail::lround ( expr arg )

inline

Definition at line 2979 of file half.hpp.

◆ lround() [2/2]

long half_float::detail::lround ( half arg )

inline

Nearest integer.

Parameters

arg	half to round

Returns: nearest integer, rounded away from zero in half-way cases

Definition at line 2978 of file half.hpp.

◆ modf() [1/2]

half half_float::detail::modf	(	expr	arg,
		half *	iptr
	)

inline

Definition at line 3043 of file half.hpp.

◆ modf() [2/2]

half half_float::detail::modf	(	half	arg,
		half *	iptr
	)

inline

Extract integer and fractional parts.

Parameters

arg	number to decompress
iptr	address to store integer part at

Returns: fractional part

Definition at line 3042 of file half.hpp.

◆ nanh()

half half_float::detail::nanh ( const char * )

inline

Get NaN value.

Returns: quiet NaN

Definition at line 2714 of file half.hpp.

◆ nearbyint() [1/2]

half half_float::detail::nearbyint ( expr arg )

inline

Definition at line 2986 of file half.hpp.

◆ nearbyint() [2/2]

half half_float::detail::nearbyint ( half arg )

inline

Nearest integer using half's internal rounding mode.

Parameters

arg	half expression to round

Returns: nearest integer using default rounding mode

Definition at line 2985 of file half.hpp.

◆ nextafter() [1/4]

half half_float::detail::nextafter	(	expr	from,
		expr	to
	)

inline

Definition at line 3087 of file half.hpp.

◆ nextafter() [2/4]

half half_float::detail::nextafter	(	expr	from,
		half	to
	)

inline

Definition at line 3086 of file half.hpp.

◆ nextafter() [3/4]

half half_float::detail::nextafter	(	half	from,
		expr	to
	)

inline

Definition at line 3085 of file half.hpp.

◆ nextafter() [4/4]

half half_float::detail::nextafter	(	half	from,
		half	to
	)

inline

Next representable value.

Parameters

from	value to compute next representable value for
to	direction towards which to compute next value

Returns: next representable value after from in direction towards to

Definition at line 3084 of file half.hpp.

◆ nexttoward() [1/2]

half half_float::detail::nexttoward	(	expr	from,
		long double	to
	)

inline

Definition at line 3096 of file half.hpp.

◆ nexttoward() [2/2]

half half_float::detail::nexttoward	(	half	from,
		long double	to
	)

inline

Next representable value.

Parameters

from	value to compute next representable value for
to	direction towards which to compute next value

Returns: next representable value after from in direction towards to

Definition at line 3095 of file half.hpp.

◆ operator!=()

enable< bool, T, U >::type half_float::detail::operator!=	(	T	x,
		U	y
	)

Comparison for inequality.

Parameters

x	first operand
y	second operand

Return values

true	if operands not equal
false	else

Definition at line 2477 of file half.hpp.

◆ operator*()

enable< expr, T, U >::type half_float::detail::operator*	(	T	x,
		U	y
	)

Multiply halfs.

Parameters

x	left operand
y	right operand

Returns: product of half expressions

Definition at line 2555 of file half.hpp.

◆ operator+() [1/2]

HALF_CONSTEXPR enable< T, T >::type half_float::detail::operator+ ( T arg )

Identity.

Parameters

arg operand

Returns: uncahnged operand

Definition at line 2574 of file half.hpp.

◆ operator+() [2/2]

enable< expr, T, U >::type half_float::detail::operator+	(	T	x,
		U	y
	)

Add halfs.

Parameters

x	left operand
y	right operand

Returns: sum of half expressions

Definition at line 2535 of file half.hpp.

◆ operator-() [1/2]

HALF_CONSTEXPR enable< T, T >::type half_float::detail::operator- ( T arg )

Negation.

Parameters

arg operand

Returns: negated operand

Definition at line 2583 of file half.hpp.

◆ operator-() [2/2]

enable< expr, T, U >::type half_float::detail::operator-	(	T	x,
		U	y
	)

Subtract halfs.

Parameters

x	left operand
y	right operand

Returns: difference of half expressions

Definition at line 2545 of file half.hpp.

◆ operator/()

enable< expr, T, U >::type half_float::detail::operator/	(	T	x,
		U	y
	)

Divide halfs.

Parameters

x	left operand
y	right operand

Returns: quotient of half expressions

Definition at line 2565 of file half.hpp.

◆ operator<()

enable< bool, T, U >::type half_float::detail::operator<	(	T	x,
		U	y
	)

Comparison for less than.

Parameters

x	first operand
y	second operand

Return values

true	if x less than y
false	else

Definition at line 2488 of file half.hpp.

◆ operator<<()

enable< std::basic_ostream< charT, traits > &, T >::type half_float::detail::operator<<	(	std::basic_ostream< charT, traits > &	out,
		T	arg
	)

Output operator.

Parameters

out	output stream to write into
arg	half expression to write

Returns: reference to output stream

Definition at line 2597 of file half.hpp.

◆ operator<=()

enable< bool, T, U >::type half_float::detail::operator<=	(	T	x,
		U	y
	)

Comparison for less equal.

Parameters

x	first operand
y	second operand

Return values

true	if x less equal y
false	else

Definition at line 2510 of file half.hpp.

◆ operator==()

enable< bool, T, U >::type half_float::detail::operator==	(	T	x,
		U	y
	)

Comparison for equality.

Parameters

x	first operand
y	second operand

Return values

true	if operands equal
false	else

Definition at line 2466 of file half.hpp.

◆ operator>()

enable< bool, T, U >::type half_float::detail::operator>	(	T	x,
		U	y
	)

Comparison for greater than.

Parameters

x	first operand
y	second operand

Return values

true	if x greater than y
false	else

Definition at line 2499 of file half.hpp.

◆ operator>=()

enable< bool, T, U >::type half_float::detail::operator>=	(	T	x,
		U	y
	)

Comparison for greater equal.

Parameters

x	first operand
y	second operand

Return values

true	if x greater equal y
false	else

Definition at line 2521 of file half.hpp.

◆ operator>>()

std::basic_istream< charT, traits > & half_float::detail::operator>>	(	std::basic_istream< charT, traits > &	in,
		half &	arg
	)

Input operator.

Parameters

in	input stream to read from
arg	half to read into

Returns: reference to input stream

Definition at line 2607 of file half.hpp.

◆ pow() [1/4]

expr half_float::detail::pow	(	expr	base,
		expr	exp
	)

inline

Definition at line 2806 of file half.hpp.

◆ pow() [2/4]

expr half_float::detail::pow	(	expr	base,
		half	exp
	)

inline

Definition at line 2805 of file half.hpp.

◆ pow() [3/4]

expr half_float::detail::pow	(	half	base,
		expr	exp
	)

inline

Definition at line 2804 of file half.hpp.

◆ pow() [4/4]

expr half_float::detail::pow	(	half	base,
		half	exp
	)

inline

Power function.

Parameters

base	first argument
exp	second argument

Returns: base raised to exp

Definition at line 2803 of file half.hpp.

◆ remainder() [1/4]

expr half_float::detail::remainder	(	expr	x,
		expr	y
	)

inline

Definition at line 2650 of file half.hpp.

◆ remainder() [2/4]

expr half_float::detail::remainder	(	expr	x,
		half	y
	)

inline

Definition at line 2649 of file half.hpp.

◆ remainder() [3/4]

expr half_float::detail::remainder	(	half	x,
		expr	y
	)

inline

Definition at line 2648 of file half.hpp.

◆ remainder() [4/4]

expr half_float::detail::remainder	(	half	x,
		half	y
	)

inline

Remainder of division.

Parameters

x	first operand
y	second operand

Returns: remainder of floating point division.

Definition at line 2647 of file half.hpp.

◆ remquo() [1/4]

expr half_float::detail::remquo	(	expr	x,
		expr	y,
		int *	quo
	)

inline

Definition at line 2662 of file half.hpp.

◆ remquo() [2/4]

expr half_float::detail::remquo	(	expr	x,
		half	y,
		int *	quo
	)

inline

Definition at line 2661 of file half.hpp.

◆ remquo() [3/4]

expr half_float::detail::remquo	(	half	x,
		expr	y,
		int *	quo
	)

inline

Definition at line 2660 of file half.hpp.

◆ remquo() [4/4]

expr half_float::detail::remquo	(	half	x,
		half	y,
		int *	quo
	)

inline

Remainder of division.

Parameters

x	first operand
y	second operand
quo	address to store some bits of quotient at

Returns: remainder of floating point division.

Definition at line 2659 of file half.hpp.

◆ rint() [1/2]

half half_float::detail::rint ( expr arg )

inline

Definition at line 2993 of file half.hpp.

◆ rint() [2/2]

half half_float::detail::rint ( half arg )

inline

Nearest integer using half's internal rounding mode.

Parameters

arg	half expression to round

Returns: nearest integer using default rounding mode

Definition at line 2992 of file half.hpp.

◆ round() [1/2]

half half_float::detail::round ( expr arg )

inline

Definition at line 2972 of file half.hpp.

◆ round() [2/2]

half half_float::detail::round ( half arg )

inline

Nearest integer.

Parameters

arg	half to round

Returns: nearest integer, rounded away from zero in half-way cases

Definition at line 2971 of file half.hpp.

◆ round_half()

uint16 half_float::detail::round_half ( uint16 value )

Round half-precision number to nearest integer value.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding

Parameters

value binary representation of half-precision value

Returns: half-precision bits for nearest integral value

Definition at line 1296 of file half.hpp.

◆ round_half_impl()

uint16 half_float::detail::round_half_impl ( uint16 value )

Round half-precision number to nearest integer value.

Template Parameters

R	rounding mode to use, `std::round_indeterminate` for fastest rounding
E	`true` for round to even, `false` for round away from zero

Parameters

value binary representation of half-precision value

Returns: half-precision bits for nearest integral value

Definition at line 1262 of file half.hpp.

◆ round_half_up()

uint16 half_float::detail::round_half_up ( uint16 value )

inline

Round half-precision number to nearest integer value using round-to-nearest-away-from-zero.

Parameters

value binary representation of half-precision value

Returns: half-precision bits for nearest integral value

Definition at line 1304 of file half.hpp.

◆ scalbln() [1/2]

half half_float::detail::scalbln	(	expr	arg,
		long	exp
	)

inline

Definition at line 3059 of file half.hpp.

◆ scalbln() [2/2]

half half_float::detail::scalbln	(	half	arg,
		long	exp
	)

inline

Multiply by power of two.

Parameters

arg	number to modify
exp	power of two to multiply with

Returns: arg multplied by 2 raised to exp

Definition at line 3058 of file half.hpp.

◆ scalbn() [1/2]

half half_float::detail::scalbn	(	expr	arg,
		int	exp
	)

inline

Definition at line 3051 of file half.hpp.

◆ scalbn() [2/2]

half half_float::detail::scalbn	(	half	arg,
		int	exp
	)

inline

Multiply by power of two.

Parameters

arg	number to modify
exp	power of two to multiply with

Returns: arg multplied by 2 raised to exp

Definition at line 3050 of file half.hpp.

◆ signbit() [1/2]

bool half_float::detail::signbit ( expr arg )

inline

Definition at line 3162 of file half.hpp.

◆ signbit() [2/2]

bool half_float::detail::signbit ( half arg )

inline

Check sign.

Parameters

arg	number to check

Return values

true	for negative number
false	for positive number

Definition at line 3161 of file half.hpp.

◆ sin() [1/2]

expr half_float::detail::sin ( expr arg )

inline

Definition at line 2817 of file half.hpp.

◆ sin() [2/2]

expr half_float::detail::sin ( half arg )

inline

Sine function.

Parameters

arg	function argument

Returns: sine value of arg

Definition at line 2816 of file half.hpp.

◆ sinh() [1/2]

expr half_float::detail::sinh ( expr arg )

inline

Definition at line 2873 of file half.hpp.

◆ sinh() [2/2]

expr half_float::detail::sinh ( half arg )

inline

Hyperbolic sine.

Parameters

arg	function argument

Returns: hyperbolic sine value of arg

Definition at line 2872 of file half.hpp.

◆ sqrt() [1/2]

expr half_float::detail::sqrt ( expr arg )

inline

Definition at line 2778 of file half.hpp.

◆ sqrt() [2/2]

expr half_float::detail::sqrt ( half arg )

inline

Square root.

Parameters

arg	function argument

Returns: square root of arg

Definition at line 2777 of file half.hpp.

◆ tan() [1/2]

expr half_float::detail::tan ( expr arg )

inline

Definition at line 2831 of file half.hpp.

◆ tan() [2/2]

expr half_float::detail::tan ( half arg )

inline

Tangent function.

Parameters

arg	function argument

Returns: tangent value of arg

Definition at line 2830 of file half.hpp.

◆ tanh() [1/2]

expr half_float::detail::tanh ( expr arg )

inline

Definition at line 2887 of file half.hpp.

◆ tanh() [2/2]

expr half_float::detail::tanh ( half arg )

inline

Hyperbolic tangent.

Parameters

arg	function argument

Returns: hyperbolic tangent value of arg

Definition at line 2886 of file half.hpp.

◆ tgamma() [1/2]

expr half_float::detail::tgamma ( expr arg )

inline

Definition at line 2940 of file half.hpp.

◆ tgamma() [2/2]

expr half_float::detail::tgamma ( half arg )

inline

Gamma function.

Parameters

arg	function argument

Returns: gamma function value of arg

Definition at line 2939 of file half.hpp.

◆ trunc() [1/2]

half half_float::detail::trunc ( expr arg )

inline

Definition at line 2965 of file half.hpp.

◆ trunc() [2/2]

half half_float::detail::trunc ( half arg )

inline

Nearest integer not greater in magnitude than half value.

Parameters

arg	half to round

Returns: nearest integer not greater in magnitude than arg

Definition at line 2964 of file half.hpp.

Variable Documentation

◆ binary

HALF_CONSTEXPR_CONST binary_t binary = binary_t()

Tag for binary construction.

Definition at line 424 of file half.hpp.

Classes

Typedefs

Functions

Variables

Typedef Documentation

◆ false_type

◆ true_type

◆ uint16

Function Documentation

◆ abs() [1/2]

◆ abs() [2/2]

◆ acos() [1/2]

◆ acos() [2/2]

◆ acosh() [1/2]

◆ acosh() [2/2]

◆ asin() [1/2]

◆ asin() [2/2]

◆ asinh() [1/2]

◆ asinh() [2/2]

◆ atan() [1/2]

◆ atan() [2/2]

◆ atan2() [1/4]

◆ atan2() [2/4]

◆ atan2() [3/4]

◆ atan2() [4/4]

◆ atanh() [1/2]

◆ atanh() [2/2]

◆ builtin_isinf()

◆ builtin_isnan()

◆ builtin_signbit()

◆ cbrt() [1/2]

◆ cbrt() [2/2]

◆ ceil() [1/2]

◆ ceil() [2/2]

◆ copysign() [1/4]

◆ copysign() [2/4]

◆ copysign() [3/4]

◆ copysign() [4/4]

◆ cos() [1/2]

◆ cos() [2/2]

◆ cosh() [1/2]

◆ cosh() [2/2]

◆ erf() [1/2]

◆ erf() [2/2]

◆ erfc() [1/2]

◆ erfc() [2/2]

◆ exp() [1/2]

◆ exp() [2/2]

◆ exp2() [1/2]

◆ exp2() [2/2]

◆ expm1() [1/2]

◆ expm1() [2/2]

◆ fabs() [1/2]

◆ fabs() [2/2]

◆ fdim() [1/4]

◆ fdim() [2/4]

◆ fdim() [3/4]

◆ fdim() [4/4]

◆ float2half()

◆ float2half_impl() [1/3]

◆ float2half_impl() [2/3]

◆ float2half_impl() [3/3]

◆ floor() [1/2]

◆ floor() [2/2]

◆ fma() [1/8]

◆ fma() [2/8]

◆ fma() [3/8]

◆ fma() [4/8]

◆ fma() [5/8]

◆ fma() [6/8]

◆ fma() [7/8]

◆ fma() [8/8]

◆ fmax() [1/4]

◆ fmax() [2/4]

◆ fmax() [3/4]

◆ fmax() [4/4]

◆ fmin() [1/4]

◆ fmin() [2/4]

◆ fmin() [3/4]

◆ fmin() [4/4]