Primitive Type f16 

🔬This is a nightly-only experimental API. (f16 #116909)

A 16-bit floating-point type (specifically, the “binary16” type defined in IEEE 754-2008).

This type is very similar to f32 but has decreased precision because it uses half as many bits. Please see the documentation for f32 or Wikipedia on half-precision values for more information.

Note that most common platforms will not support f16 in hardware without enabling extra target features, with the notable exception of Apple Silicon (also known as M1, M2, etc.) processors. Hardware support on x86/x86-64 requires the avx512fp16 or avx10.1 features, while RISC-V requires Zfh, and Arm/AArch64 requires FEAT_FP16. Usually the fallback implementation will be to use f32 hardware if it exists, and convert between f16 and f32 when performing math.

See also the std::f16::consts module.

Trait Implementations

impl Add<&f16> for &f16

type Output = <f16 as Add>::Output

The resulting type after applying the + operator.

fn add(self, other: &f16) -> <f16 as Add<f16>>::Output

Performs the + operation.

impl Add<&f16> for f16

type Output = <f16 as Add>::Output

The resulting type after applying the + operator.

fn add(self, other: &f16) -> <f16 as Add<f16>>::Output

Performs the + operation.

impl Add<f16> for &f16

type Output = <f16 as Add>::Output

The resulting type after applying the + operator.

fn add(self, other: f16) -> <f16 as Add<f16>>::Output

Performs the + operation.

impl Add for f16

type Output = f16

The resulting type after applying the + operator.

fn add(self, other: f16) -> f16

Performs the + operation.

impl AddAssign<&f16> for f16

fn add_assign(&mut self, other: &f16)

Performs the += operation.

impl AddAssign for f16

fn add_assign(&mut self, other: f16)

Performs the += operation.

impl Clone for f16

fn clone(&self) -> Self

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

where Self:,

Performs copy-assignment from source.

impl Default for f16

fn default() -> f16

Returns the default value of 0.0

impl Div<&f16> for &f16

type Output = <f16 as Div>::Output

The resulting type after applying the / operator.

fn div(self, other: &f16) -> <f16 as Div<f16>>::Output

Performs the / operation.

impl Div<&f16> for f16

type Output = <f16 as Div>::Output

The resulting type after applying the / operator.

fn div(self, other: &f16) -> <f16 as Div<f16>>::Output

Performs the / operation.

impl Div<f16> for &f16

type Output = <f16 as Div>::Output

The resulting type after applying the / operator.

fn div(self, other: f16) -> <f16 as Div<f16>>::Output

Performs the / operation.

impl Div for f16

type Output = f16

The resulting type after applying the / operator.

fn div(self, other: f16) -> f16

Performs the / operation.

impl DivAssign<&f16> for f16

fn div_assign(&mut self, other: &f16)

Performs the /= operation.

impl DivAssign for f16

fn div_assign(&mut self, other: f16)

Performs the /= operation.

impl Mul<&f16> for &f16

type Output = <f16 as Mul>::Output

The resulting type after applying the * operator.

fn mul(self, other: &f16) -> <f16 as Mul<f16>>::Output

Performs the * operation.

impl Mul<&f16> for f16

type Output = <f16 as Mul>::Output

The resulting type after applying the * operator.

fn mul(self, other: &f16) -> <f16 as Mul<f16>>::Output

Performs the * operation.

impl Mul<f16> for &f16

type Output = <f16 as Mul>::Output

The resulting type after applying the * operator.

fn mul(self, other: f16) -> <f16 as Mul<f16>>::Output

Performs the * operation.

impl Mul for f16

type Output = f16

The resulting type after applying the * operator.

fn mul(self, other: f16) -> f16

Performs the * operation.

impl MulAssign<&f16> for f16

fn mul_assign(&mut self, other: &f16)

Performs the *= operation.

impl MulAssign for f16

fn mul_assign(&mut self, other: f16)

Performs the *= operation.

impl Neg for &f16

type Output = <f16 as Neg>::Output

The resulting type after applying the - operator.

fn neg(self) -> <f16 as Neg>::Output

Performs the unary - operation.

impl Neg for f16

type Output = f16

The resulting type after applying the - operator.

fn neg(self) -> f16

Performs the unary - operation.

impl PartialEq for f16

fn eq(&self, other: &Self) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Self) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for f16

fn partial_cmp(&self, other: &Self) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Self) -> bool

Tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Self) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Self) -> bool

Tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Self) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl Rem<&f16> for &f16

type Output = <f16 as Rem>::Output

The resulting type after applying the % operator.

fn rem(self, other: &f16) -> <f16 as Rem<f16>>::Output

Performs the % operation.

impl Rem<&f16> for f16

type Output = <f16 as Rem>::Output

The resulting type after applying the % operator.

fn rem(self, other: &f16) -> <f16 as Rem<f16>>::Output

Performs the % operation.

impl Rem<f16> for &f16

type Output = <f16 as Rem>::Output

The resulting type after applying the % operator.

fn rem(self, other: f16) -> <f16 as Rem<f16>>::Output

Performs the % operation.

impl Rem for f16

The remainder from the division of two floats.

The remainder has the same sign as the dividend and is computed as: x - (x / y).trunc() * y.

Examples

let x: f32 = 50.50;
let y: f32 = 8.125;
let remainder = x - (x / y).trunc() * y;

// The answer to both operations is 1.75
assert_eq!(x % y, remainder);

type Output = f16

The resulting type after applying the % operator.

fn rem(self, other: f16) -> f16

Performs the % operation.

impl RemAssign<&f16> for f16

fn rem_assign(&mut self, other: &f16)

Performs the %= operation.

impl RemAssign for f16

fn rem_assign(&mut self, other: f16)

Performs the %= operation.

impl Sub<&f16> for &f16

type Output = <f16 as Sub>::Output

The resulting type after applying the - operator.

fn sub(self, other: &f16) -> <f16 as Sub<f16>>::Output

Performs the - operation.

impl Sub<&f16> for f16

type Output = <f16 as Sub>::Output

The resulting type after applying the - operator.

fn sub(self, other: &f16) -> <f16 as Sub<f16>>::Output

Performs the - operation.

impl Sub<f16> for &f16

type Output = <f16 as Sub>::Output

The resulting type after applying the - operator.

fn sub(self, other: f16) -> <f16 as Sub<f16>>::Output

Performs the - operation.

impl Sub for f16

type Output = f16

The resulting type after applying the - operator.

fn sub(self, other: f16) -> f16

Performs the - operation.

impl SubAssign<&f16> for f16

fn sub_assign(&mut self, other: &f16)

Performs the -= operation.

impl SubAssign for f16

fn sub_assign(&mut self, other: f16)

Performs the -= operation.

impl Copy for f16