f16 - Rust
Description: A 16-bit floating point type (specifically, the “binary16” type defined in IEEE 754-2008).

# Primitive Type f16

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

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 x86-64 requires the avx512fp16 feature, while RISC-V requires Zhf. 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.

## Implementations§

source§

### impl f16

source

#### pub const RADIX: u32 = 2u32

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

The radix or base of the internal representation of `f16`.

source

#### pub const MANTISSA_DIGITS: u32 = 11u32

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

Number of significant digits in base 2.

source

#### pub const DIGITS: u32 = 3u32

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

Approximate number of significant digits in base 10.

This is the maximum x such that any decimal number with x significant digits can be converted to `f16` and back without loss.

Equal to floor(log10 2`MANTISSA_DIGITS` − 1).

source

#### pub const EPSILON: f16 = 9.7656E-4f16

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

Machine epsilon value for `f16`.

This is the difference between `1.0` and the next larger representable number.

Equal to 21 − `MANTISSA_DIGITS`.

source

#### pub const MIN: f16 = -65504f16

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

Smallest finite `f16` value.

Equal to −`MAX`.

source

#### pub const MIN_POSITIVE: f16 = 6.1035E-5f16

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

Smallest positive normal `f16` value.

Equal to 2`MIN_EXP` − 1.

source

#### pub const MAX: f16 = 65504f16

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

Largest finite `f16` value.

Equal to (1 − 2−`MANTISSA_DIGITS`) 2`MAX_EXP`.

source

#### pub const MIN_EXP: i32 = -13i32

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

One greater than the minimum possible normal power of 2 exponent.

If x = `MIN_EXP`, then normal numbers ≥ 0.5 × 2x.

source

#### pub const MAX_EXP: i32 = 16i32

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

Maximum possible power of 2 exponent.

If x = `MAX_EXP`, then normal numbers < 1 × 2x.

source

#### pub const MIN_10_EXP: i32 = -4i32

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

Minimum x for which 10x is normal.

Equal to ceil(log10 `MIN_POSITIVE`).

source

#### pub const MAX_10_EXP: i32 = 4i32

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

Maximum x for which 10x is normal.

Equal to floor(log10 `MAX`).

source

#### pub const NAN: f16 = NaN_f16

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

Not a Number (NaN).

Note that IEEE 754 doesn’t define just a single NaN value; a plethora of bit patterns are considered to be NaN. Furthermore, the standard makes a difference between a “signaling” and a “quiet” NaN, and allows inspecting its “payload” (the unspecified bits in the bit pattern). This constant isn’t guaranteed to equal to any specific NaN bitpattern, and the stability of its representation over Rust versions and target platforms isn’t guaranteed.

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#### pub const INFINITY: f16 = +Inf_f16

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

Infinity (∞).

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#### pub const NEG_INFINITY: f16 = -Inf_f16

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

Negative infinity (−∞).

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#### pub const fn is_nan(self) -> bool

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

Returns `true` if this value is NaN.

    #![feature(f16)]

    let nan = f16::NAN;
    let f = 7.0_f16;

    assert!(nan.is_nan());
    assert!(!f.is_nan());

Run
source

#### pub const fn is_infinite(self) -> bool

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

Returns `true` if this value is positive infinity or negative infinity, and `false` otherwise.

    #![feature(f16)]

    let f = 7.0f16;
    let inf = f16::INFINITY;
    let neg_inf = f16::NEG_INFINITY;
    let nan = f16::NAN;

    assert!(!f.is_infinite());
    assert!(!nan.is_infinite());

    assert!(inf.is_infinite());
    assert!(neg_inf.is_infinite());

Run
source

#### pub const fn is_finite(self) -> bool

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

Returns `true` if this number is neither infinite nor NaN.

    #![feature(f16)]

    let f = 7.0f16;
    let inf: f16 = f16::INFINITY;
    let neg_inf: f16 = f16::NEG_INFINITY;
    let nan: f16 = f16::NAN;

    assert!(f.is_finite());

    assert!(!nan.is_finite());
    assert!(!inf.is_finite());
    assert!(!neg_inf.is_finite());

Run
source

#### pub const fn is_subnormal(self) -> bool

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

Returns `true` if the number is subnormal.

    #![feature(f16)]

    let min = f16::MIN_POSITIVE; // 6.1035e-5
    let max = f16::MAX;
    let lower_than_min = 1.0e-7_f16;
    let zero = 0.0_f16;

    assert!(!min.is_subnormal());
    assert!(!max.is_subnormal());

    assert!(!zero.is_subnormal());
    assert!(!f16::NAN.is_subnormal());
    assert!(!f16::INFINITY.is_subnormal());
    // Values between `0` and `min` are Subnormal.
    assert!(lower_than_min.is_subnormal());

Run
source

#### pub const fn is_normal(self) -> bool

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

Returns `true` if the number is neither zero, infinite, subnormal, or NaN.

    #![feature(f16)]

    let min = f16::MIN_POSITIVE; // 6.1035e-5
    let max = f16::MAX;
    let lower_than_min = 1.0e-7_f16;
    let zero = 0.0_f16;

    assert!(min.is_normal());
    assert!(max.is_normal());

    assert!(!zero.is_normal());
    assert!(!f16::NAN.is_normal());
    assert!(!f16::INFINITY.is_normal());
    // Values between `0` and `min` are Subnormal.
    assert!(!lower_than_min.is_normal());

Run
source

#### pub const fn classify(self) -> FpCategory

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

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead.

    #![feature(f16)]

    use std::num::FpCategory;

    let num = 12.4_f16;
    let inf = f16::INFINITY;

    assert_eq!(num.classify(), FpCategory::Normal);
    assert_eq!(inf.classify(), FpCategory::Infinite);

Run
source

#### pub fn is_sign_positive(self) -> bool

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

Returns `true` if `self` has a positive sign, including `+0.0`, NaNs with positive sign bit and positive infinity. Note that IEEE 754 doesn’t assign any meaning to the sign bit in case of a NaN, and as Rust doesn’t guarantee that the bit pattern of NaNs are conserved over arithmetic operations, the result of `is_sign_positive` on a NaN might produce an unexpected result in some cases. See explanation of NaN as a special value for more info.

    #![feature(f16)]

    let f = 7.0_f16;
    let g = -7.0_f16;

    assert!(f.is_sign_positive());
    assert!(!g.is_sign_positive());

Run
source

#### pub fn is_sign_negative(self) -> bool

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

Returns `true` if `self` has a negative sign, including `-0.0`, NaNs with negative sign bit and negative infinity. Note that IEEE 754 doesn’t assign any meaning to the sign bit in case of a NaN, and as Rust doesn’t guarantee that the bit pattern of NaNs are conserved over arithmetic operations, the result of `is_sign_negative` on a NaN might produce an unexpected result in some cases. See explanation of NaN as a special value for more info.

    #![feature(f16)]

    let f = 7.0_f16;
    let g = -7.0_f16;

    assert!(!f.is_sign_negative());
    assert!(g.is_sign_negative());

Run
source

#### pub fn next_up(self) -> Self

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

Returns the least number greater than `self`.

Let `TINY` be the smallest representable positive `f16`. Then,

- if `self.is_nan()`, this returns `self`;
- if `self` is `NEG_INFINITY`, this returns `MIN`;
- if `self` is `-TINY`, this returns -0.0;
- if `self` is -0.0 or +0.0, this returns `TINY`;
- if `self` is `MAX` or `INFINITY`, this returns `INFINITY`;
- otherwise the unique least value greater than `self` is returned.

The identity `x.next_up() == -(-x).next_down()` holds for all non-NaN `x`. When `x` is finite `x == x.next_up().next_down()` also holds.

    #![feature(f16)]
    #![feature(float_next_up_down)]

    // f16::EPSILON is the difference between 1.0 and the next number up.
    assert_eq!(1.0f16.next_up(), 1.0 + f16::EPSILON);
    // But not for most numbers.
    assert!(0.1f16.next_up() < 0.1 + f16::EPSILON);
    assert_eq!(4356f16.next_up(), 4360.0);

Run
source

#### pub fn next_down(self) -> Self

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

Returns the greatest number less than `self`.

Let `TINY` be the smallest representable positive `f16`. Then,

- if `self.is_nan()`, this returns `self`;
- if `self` is `INFINITY`, this returns `MAX`;
- if `self` is `TINY`, this returns 0.0;
- if `self` is -0.0 or +0.0, this returns `-TINY`;
- if `self` is `MIN` or `NEG_INFINITY`, this returns `NEG_INFINITY`;
- otherwise the unique greatest value less than `self` is returned.

The identity `x.next_down() == -(-x).next_up()` holds for all non-NaN `x`. When `x` is finite `x == x.next_down().next_up()` also holds.

    #![feature(f16)]
    #![feature(float_next_up_down)]

    let x = 1.0f16;
    // Clamp value into range [0, 1).
    let clamped = x.clamp(0.0, 1.0f16.next_down());
    assert!(clamped < 1.0);
    assert_eq!(clamped.next_up(), 1.0);

Run
source

#### pub fn recip(self) -> Self

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

Takes the reciprocal (inverse) of a number, `1/x`.

    #![feature(f16)]

    let x = 2.0_f16;
    let abs_difference = (x.recip() - (1.0 / x)).abs();

    assert!(abs_difference <= f16::EPSILON);

Run
source

#### pub fn to_degrees(self) -> Self

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

Converts radians to degrees.

    #![feature(f16)]

    let angle = std::f16::consts::PI;

    let abs_difference = (angle.to_degrees() - 180.0).abs();
    assert!(abs_difference <= 0.5);

Run
source

#### pub fn to_radians(self) -> f16

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

Converts degrees to radians.

    #![feature(f16)]

    let angle = 180.0f16;

    let abs_difference = (angle.to_radians() - std::f16::consts::PI).abs();

    assert!(abs_difference <= 0.01);

Run
source

#### pub unsafe fn to_int_unchecked<Int>(self) -> Int
where Self: FloatToInt<Int>,

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

Rounds toward zero and converts to any primitive integer type, assuming that the value is finite and fits in that type.

    #![feature(f16)]

    let value = 4.6_f16;
    let rounded = unsafe { value.to_int_unchecked::<u16>() };
    assert_eq!(rounded, 4);

    let value = -128.9_f16;
    let rounded = unsafe { value.to_int_unchecked::<i8>() };
    assert_eq!(rounded, i8::MIN);

Run

##### §Safety

The value must:

- Not be `NaN`
- Not be infinite
- Be representable in the return type `Int`, after truncating off its fractional part

source

#### pub const fn to_bits(self) -> u16

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

Raw transmutation to `u16`.

This is currently identical to `transmute::<f16, u16>(self)` on all platforms.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

Note that this function is distinct from `as` casting, which attempts to preserve the numeric value, and not the bitwise value.

    #![feature(f16)]

    assert_eq!((12.5f16).to_bits(), 0x4a40);

Run
source

#### pub const fn from_bits(v: u16) -> Self

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

Raw transmutation from `u16`.

This is currently identical to `transmute::<u16, f16>(v)` on all platforms. It turns out this is incredibly portable, for two reasons:

- Floats and Ints have the same endianness on all supported platforms.
- IEEE 754 very precisely specifies the bit layout of floats.

However there is one caveat: prior to the 2008 version of IEEE 754, how to interpret the NaN signaling bit wasn’t actually specified. Most platforms (notably x86 and ARM) picked the interpretation that was ultimately standardized in 2008, but some didn’t (notably MIPS). As a result, all signaling NaNs on MIPS are quiet NaNs on x86, and vice-versa.

Rather than trying to preserve signaling-ness cross-platform, this implementation favors preserving the exact bits. This means that any payloads encoded in NaNs will be preserved even if the result of this method is sent over the network from an x86 machine to a MIPS one.

If the results of this method are only manipulated by the same architecture that produced them, then there is no portability concern.

If the input isn’t NaN, then there is no portability concern.

If you don’t care about signalingness (very likely), then there is no portability concern.

Note that this function is distinct from `as` casting, which attempts to preserve the numeric value, and not the bitwise value.

    #![feature(f16)]

    let v = f16::from_bits(0x4a40);
    assert_eq!(v, 12.5);

Run
source

#### pub const fn to_be_bytes(self) -> [u8; 2]

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

Return the memory representation of this floating point number as a byte array in big-endian (network) byte order.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

##### §Examples

    #![feature(f16)]

    let bytes = 12.5f16.to_be_bytes();
    assert_eq!(bytes, [0x4a, 0x40]);

Run
source

#### pub const fn to_le_bytes(self) -> [u8; 2]

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

Return the memory representation of this floating point number as a byte array in little-endian byte order.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

##### §Examples

    #![feature(f16)]

    let bytes = 12.5f16.to_le_bytes();
    assert_eq!(bytes, [0x40, 0x4a]);

Run
source

#### pub const fn to_ne_bytes(self) -> [u8; 2]

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

Return the memory representation of this floating point number as a byte array in native byte order.

As the target platform’s native endianness is used, portable code should use `to_be_bytes` or `to_le_bytes`, as appropriate, instead.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

##### §Examples

    #![feature(f16)]

    let bytes = 12.5f16.to_ne_bytes();
    assert_eq!(
        bytes,
        if cfg!(target_endian = "big") {
            [0x4a, 0x40]
        } else {
            [0x40, 0x4a]
        }
    );

Run
source

#### pub const fn from_be_bytes(bytes: [u8; 2]) -> Self

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

Create a floating point value from its representation as a byte array in big endian.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

##### §Examples

    #![feature(f16)]

    let value = f16::from_be_bytes([0x4a, 0x40]);
    assert_eq!(value, 12.5);

Run
source

#### pub const fn from_le_bytes(bytes: [u8; 2]) -> Self

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

Create a floating point value from its representation as a byte array in little endian.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

##### §Examples

    #![feature(f16)]

    let value = f16::from_le_bytes([0x40, 0x4a]);
    assert_eq!(value, 12.5);

Run
source

#### pub const fn from_ne_bytes(bytes: [u8; 2]) -> Self

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

Create a floating point value from its representation as a byte array in native endian.

As the target platform’s native endianness is used, portable code likely wants to use `from_be_bytes` or `from_le_bytes`, as appropriate instead.

See `from_bits` for some discussion of the portability of this operation (there are almost no issues).

##### §Examples

    #![feature(f16)]

    let value = f16::from_ne_bytes(if cfg!(target_endian = "big") {
        [0x4a, 0x40]
    } else {
        [0x40, 0x4a]
    });
    assert_eq!(value, 12.5);

Run
source

#### pub fn total_cmp(&self, other: &Self) -> Ordering

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

Return the ordering between `self` and `other`.

Unlike the standard partial comparison between floating point numbers, this comparison always produces an ordering in accordance to the `totalOrder` predicate as defined in the IEEE 754 (2008 revision) floating point standard. The values are ordered in the following sequence:

- negative quiet NaN
- negative signaling NaN
- negative infinity
- negative numbers
- negative subnormal numbers
- negative zero
- positive zero
- positive subnormal numbers
- positive numbers
- positive infinity
- positive signaling NaN
- positive quiet NaN.

The ordering established by this function does not always agree with the `PartialOrd` and `PartialEq` implementations of `f16`. For example, they consider negative and positive zero equal, while `total_cmp` doesn’t.

The interpretation of the signaling NaN bit follows the definition in the IEEE 754 standard, which may not match the interpretation by some of the older, non-conformant (e.g. MIPS) hardware implementations.

##### §Example

    #![feature(f16)]

    struct GoodBoy {
        name: &'static str,
        weight: f16,
    }

    let mut bois = vec![
        GoodBoy { name: "Pucci", weight: 0.1 },
        GoodBoy { name: "Woofer", weight: 99.0 },
        GoodBoy { name: "Yapper", weight: 10.0 },
        GoodBoy { name: "Chonk", weight: f16::INFINITY },
        GoodBoy { name: "Abs. Unit", weight: f16::NAN },
        GoodBoy { name: "Floaty", weight: -5.0 },
    ];

    bois.sort_by(|a, b| a.weight.total_cmp(&b.weight));

    // `f16::NAN` could be positive or negative, which will affect the sort order.
    if f16::NAN.is_sign_negative() {
        bois.into_iter().map(|b| b.weight)
            .zip([f16::NAN, -5.0, 0.1, 10.0, 99.0, f16::INFINITY].iter())
            .for_each(|(a, b)| assert_eq!(a.to_bits(), b.to_bits()))
    } else {
        bois.into_iter().map(|b| b.weight)
            .zip([-5.0, 0.1, 10.0, 99.0, f16::INFINITY, f16::NAN].iter())
            .for_each(|(a, b)| assert_eq!(a.to_bits(), b.to_bits()))
    }

Run
source

#### pub fn clamp(self, min: f16, max: f16) -> f16

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

Restrict a value to a certain interval unless it is NaN.

Returns `max` if `self` is greater than `max`, and `min` if `self` is less than `min`. Otherwise this returns `self`.

Note that this function returns NaN if the initial value was NaN as well.

##### §Panics

Panics if `min > max`, `min` is NaN, or `max` is NaN.

##### §Examples

    #![feature(f16)]

    assert!((-3.0f16).clamp(-2.0, 1.0) == -2.0);
    assert!((0.0f16).clamp(-2.0, 1.0) == 0.0);
    assert!((2.0f16).clamp(-2.0, 1.0) == 1.0);
    assert!((f16::NAN).clamp(-2.0, 1.0).is_nan());

Run

## Trait Implementations§

1.0.0 · source§

### impl Add<&f16> for &f16

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#### type Output = <f16 as Add>::Output

The resulting type after applying the `+` operator.
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#### fn add(self, other: &f16) -> <f16 as Add<f16>>::Output

Performs the `+` operation. Read more
1.0.0 · source§

### impl Add<&f16> for f16

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#### type Output = <f16 as Add>::Output

The resulting type after applying the `+` operator.
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#### fn add(self, other: &f16) -> <f16 as Add<f16>>::Output

Performs the `+` operation. Read more
1.0.0 · source§

### impl<'a> Add<f16> for &'a f16

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#### type Output = <f16 as Add>::Output

The resulting type after applying the `+` operator.
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#### fn add(self, other: f16) -> <f16 as Add<f16>>::Output

Performs the `+` operation. Read more
1.0.0 · source§

### impl Add for f16

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#### type Output = f16

The resulting type after applying the `+` operator.
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#### fn add(self, other: f16) -> f16

Performs the `+` operation. Read more
1.22.0 · source§

### impl AddAssign<&f16> for f16

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

Performs the `+=` operation. Read more
1.8.0 · source§

### impl AddAssign for f16

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

Performs the `+=` operation. Read more
1.0.0 · source§

### impl Clone for f16

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#### fn clone(&self) -> Self

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from `source`. Read more
1.0.0 · source§

### impl Debug for f16

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#### fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
1.0.0 · source§

### impl Default for f16

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#### fn default() -> f16

Returns the default value of `0.0`

1.0.0 · source§

### impl Div<&f16> for &f16

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#### type Output = <f16 as Div>::Output

The resulting type after applying the `/` operator.
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#### fn div(self, other: &f16) -> <f16 as Div<f16>>::Output

Performs the `/` operation. Read more
1.0.0 · source§

### impl Div<&f16> for f16

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#### type Output = <f16 as Div>::Output

The resulting type after applying the `/` operator.
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#### fn div(self, other: &f16) -> <f16 as Div<f16>>::Output

Performs the `/` operation. Read more
1.0.0 · source§

### impl<'a> Div<f16> for &'a f16

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#### type Output = <f16 as Div>::Output

The resulting type after applying the `/` operator.
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#### fn div(self, other: f16) -> <f16 as Div<f16>>::Output

Performs the `/` operation. Read more
1.0.0 · source§

### impl Div for f16

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#### type Output = f16

The resulting type after applying the `/` operator.
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#### fn div(self, other: f16) -> f16

Performs the `/` operation. Read more
1.22.0 · source§

### impl DivAssign<&f16> for f16

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

Performs the `/=` operation. Read more
1.8.0 · source§

### impl DivAssign for f16

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

Performs the `/=` operation. Read more
1.6.0 · source§

### impl From<f16> for f128

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#### fn from(small: f16) -> Self

Converts `f16` to `f128` losslessly.

1.6.0 · source§

### impl From<f16> for f64

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#### fn from(small: f16) -> Self

Converts `f16` to `f64` losslessly.

1.0.0 · source§

### impl Mul<&f16> for &f16

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#### type Output = <f16 as Mul>::Output

The resulting type after applying the `*` operator.
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#### fn mul(self, other: &f16) -> <f16 as Mul<f16>>::Output

Performs the `*` operation. Read more
1.0.0 · source§

### impl Mul<&f16> for f16

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#### type Output = <f16 as Mul>::Output

The resulting type after applying the `*` operator.
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#### fn mul(self, other: &f16) -> <f16 as Mul<f16>>::Output

Performs the `*` operation. Read more
1.0.0 · source§

### impl<'a> Mul<f16> for &'a f16

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#### type Output = <f16 as Mul>::Output

The resulting type after applying the `*` operator.
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#### fn mul(self, other: f16) -> <f16 as Mul<f16>>::Output

Performs the `*` operation. Read more
1.0.0 · source§

### impl Mul for f16

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#### type Output = f16

The resulting type after applying the `*` operator.
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#### fn mul(self, other: f16) -> f16

Performs the `*` operation. Read more
1.22.0 · source§

### impl MulAssign<&f16> for f16

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

Performs the `*=` operation. Read more
1.8.0 · source§

### impl MulAssign for f16

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

Performs the `*=` operation. Read more
1.0.0 · source§

### impl Neg for &f16

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#### type Output = <f16 as Neg>::Output

The resulting type after applying the `-` operator.
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#### fn neg(self) -> <f16 as Neg>::Output

Performs the unary `-` operation. Read more
1.0.0 · source§

### impl Neg for f16

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#### type Output = f16

The resulting type after applying the `-` operator.
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#### fn neg(self) -> f16

Performs the unary `-` operation. Read more
1.0.0 · source§

### impl PartialEq for f16

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#### fn eq(&self, other: &f16) -> bool

This method tests for `self` and `other` values to be equal, and is used by `==`.
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#### fn ne(&self, other: &f16) -> bool

This method tests for `!=`. The default implementation is almost always sufficient, and should not be overridden without very good reason.
1.0.0 · source§

### impl PartialOrd for f16

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#### fn partial_cmp(&self, other: &f16) -> Option<Ordering>

This method returns an ordering between `self` and `other` values if one exists. Read more
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#### fn lt(&self, other: &f16) -> bool

This method tests less than (for `self` and `other`) and is used by the `<` operator. Read more
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#### fn le(&self, other: &f16) -> bool

This method tests less than or equal to (for `self` and `other`) and is used by the `<=` operator. Read more
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#### fn ge(&self, other: &f16) -> bool

This method tests greater than or equal to (for `self` and `other`) and is used by the `>=` operator. Read more
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#### fn gt(&self, other: &f16) -> bool

This method tests greater than (for `self` and `other`) and is used by the `>` operator. Read more
1.0.0 · source§

### impl Rem<&f16> for &f16

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#### type Output = <f16 as Rem>::Output

The resulting type after applying the `%` operator.
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#### fn rem(self, other: &f16) -> <f16 as Rem<f16>>::Output

Performs the `%` operation. Read more
1.0.0 · source§

### impl Rem<&f16> for f16

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#### type Output = <f16 as Rem>::Output

The resulting type after applying the `%` operator.
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#### fn rem(self, other: &f16) -> <f16 as Rem<f16>>::Output

Performs the `%` operation. Read more
1.0.0 · source§

### impl<'a> Rem<f16> for &'a f16

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#### type Output = <f16 as Rem>::Output

The resulting type after applying the `%` operator.
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#### fn rem(self, other: f16) -> <f16 as Rem<f16>>::Output

Performs the `%` operation. Read more
1.0.0 · source§

### 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);

Run
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#### type Output = f16

The resulting type after applying the `%` operator.
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#### fn rem(self, other: f16) -> f16

Performs the `%` operation. Read more
1.22.0 · source§

### impl RemAssign<&f16> for f16

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

Performs the `%=` operation. Read more
1.8.0 · source§

### impl RemAssign for f16

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

Performs the `%=` operation. Read more
1.0.0 · source§

### impl Sub<&f16> for &f16

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#### type Output = <f16 as Sub>::Output

The resulting type after applying the `-` operator.
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#### fn sub(self, other: &f16) -> <f16 as Sub<f16>>::Output

Performs the `-` operation. Read more
1.0.0 · source§

### impl Sub<&f16> for f16

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#### type Output = <f16 as Sub>::Output

The resulting type after applying the `-` operator.
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#### fn sub(self, other: &f16) -> <f16 as Sub<f16>>::Output

Performs the `-` operation. Read more
1.0.0 · source§

### impl<'a> Sub<f16> for &'a f16

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#### type Output = <f16 as Sub>::Output

The resulting type after applying the `-` operator.
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#### fn sub(self, other: f16) -> <f16 as Sub<f16>>::Output

Performs the `-` operation. Read more
1.0.0 · source§

### impl Sub for f16

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#### type Output = f16

The resulting type after applying the `-` operator.
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#### fn sub(self, other: f16) -> f16

Performs the `-` operation. Read more
1.22.0 · source§

### impl SubAssign<&f16> for f16

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

Performs the `-=` operation. Read more
1.8.0 · source§

### impl SubAssign for f16

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

Performs the `-=` operation. Read more
1.0.0 · source§

### impl Copy for f16

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### impl FloatToInt<i128> for f16

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### impl FloatToInt<i16> for f16

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### impl FloatToInt<i32> for f16

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### impl FloatToInt<i64> for f16

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### impl FloatToInt<i8> for f16

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### impl FloatToInt<isize> for f16

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### impl FloatToInt<u128> for f16

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### impl FloatToInt<u16> for f16

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### impl FloatToInt<u32> for f16

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### impl FloatToInt<u64> for f16

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### impl FloatToInt<u8> for f16

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### impl FloatToInt<usize> for f16

## Auto Trait Implementations§

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### impl Freeze for f16

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### impl RefUnwindSafe for f16

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### impl Send for f16

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### impl Sync for f16

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### impl Unpin for f16

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### impl UnwindSafe for f16

## Blanket Implementations§

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### impl<T> Any for T
where T: 'static + ?Sized,

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#### fn type_id(&self) -> TypeId

Gets the `TypeId` of `self`. Read more
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### impl<T> Borrow<T> for T
where T: ?Sized,

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#### fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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### impl<T> BorrowMut<T> for T
where T: ?Sized,

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#### fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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### impl<T> CloneToUninit for T
where T: Clone,

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#### default unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (`clone_to_uninit` #126799)
Performs copy-assignment from `self` to `dst`. Read more
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### impl<T> CloneToUninit for T
where T: Copy,

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#### unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (`clone_to_uninit` #126799)
Performs copy-assignment from `self` to `dst`. Read more
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### impl<T> From<T> for T

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#### fn from(t: T) -> T

Returns the argument unchanged.

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### impl<T, U> Into<U> for T
where U: From<T>,

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#### fn into(self) -> U

Calls `U::from(self)`.

That is, this conversion is whatever the implementation of `From<T> for U` chooses to do.

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### impl<T, U> TryFrom<U> for T
where U: Into<T>,

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#### type Error = Infallible

The type returned in the event of a conversion error.
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#### fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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### impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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#### type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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#### fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.