Struct image2::f16

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pub struct f16(_);
Expand description

16-bit float A 16-bit floating point type implementing the IEEE 754-2008 standard binary16 a.k.a half format.

This 16-bit floating point type is intended for efficient storage where the full range and precision of a larger floating point value is not required. Because f16 is primarily for efficient storage, floating point operations such as addition, multiplication, etc. are not implemented. Operations should be performed with f32 or higher-precision types and converted to/from f16 as necessary.

Implementations§

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impl f16

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pub const fn from_bits(bits: u16) -> f16

Constructs a 16-bit floating point value from the raw bits.

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pub fn from_f32(value: f32) -> f16

Constructs a 16-bit floating point value from a 32-bit floating point value.

If the 32-bit value is to large to fit in 16-bits, ±∞ will result. NaN values are preserved. 32-bit subnormal values are too tiny to be represented in 16-bits and result in ±0. Exponents that underflow the minimum 16-bit exponent will result in 16-bit subnormals or ±0. All other values are truncated and rounded to the nearest representable 16-bit value.

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pub const fn from_f32_const(value: f32) -> f16

Constructs a 16-bit floating point value from a 32-bit floating point value.

This function is identical to from_f32 except it never uses hardware intrinsics, which allows it to be const. from_f32 should be preferred in any non-const context.

If the 32-bit value is to large to fit in 16-bits, ±∞ will result. NaN values are preserved. 32-bit subnormal values are too tiny to be represented in 16-bits and result in ±0. Exponents that underflow the minimum 16-bit exponent will result in 16-bit subnormals or ±0. All other values are truncated and rounded to the nearest representable 16-bit value.

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pub fn from_f64(value: f64) -> f16

Constructs a 16-bit floating point value from a 64-bit floating point value.

If the 64-bit value is to large to fit in 16-bits, ±∞ will result. NaN values are preserved. 64-bit subnormal values are too tiny to be represented in 16-bits and result in ±0. Exponents that underflow the minimum 16-bit exponent will result in 16-bit subnormals or ±0. All other values are truncated and rounded to the nearest representable 16-bit value.

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pub const fn from_f64_const(value: f64) -> f16

Constructs a 16-bit floating point value from a 64-bit floating point value.

This function is identical to from_f64 except it never uses hardware intrinsics, which allows it to be const. from_f64 should be preferred in any non-const context.

If the 64-bit value is to large to fit in 16-bits, ±∞ will result. NaN values are preserved. 64-bit subnormal values are too tiny to be represented in 16-bits and result in ±0. Exponents that underflow the minimum 16-bit exponent will result in 16-bit subnormals or ±0. All other values are truncated and rounded to the nearest representable 16-bit value.

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pub const fn to_bits(self) -> u16

Converts a f16 into the underlying bit representation.

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

Returns the memory representation of the underlying bit representation as a byte array in little-endian byte order.

Examples
let bytes = f16::from_f32(12.5).to_le_bytes();
assert_eq!(bytes, [0x40, 0x4A]);
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pub const fn to_be_bytes(self) -> [u8; 2]

Returns the memory representation of the underlying bit representation as a byte array in big-endian (network) byte order.

Examples
let bytes = f16::from_f32(12.5).to_be_bytes();
assert_eq!(bytes, [0x4A, 0x40]);
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pub const fn to_ne_bytes(self) -> [u8; 2]

Returns the memory representation of the underlying bit representation 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.

Examples
let bytes = f16::from_f32(12.5).to_ne_bytes();
assert_eq!(bytes, if cfg!(target_endian = "big") {
    [0x4A, 0x40]
} else {
    [0x40, 0x4A]
});
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pub const fn from_le_bytes(bytes: [u8; 2]) -> f16

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

Examples
let value = f16::from_le_bytes([0x40, 0x4A]);
assert_eq!(value, f16::from_f32(12.5));
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pub const fn from_be_bytes(bytes: [u8; 2]) -> f16

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

Examples
let value = f16::from_be_bytes([0x4A, 0x40]);
assert_eq!(value, f16::from_f32(12.5));
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pub const fn from_ne_bytes(bytes: [u8; 2]) -> f16

Creates 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.

Examples
let value = f16::from_ne_bytes(if cfg!(target_endian = "big") {
    [0x4A, 0x40]
} else {
    [0x40, 0x4A]
});
assert_eq!(value, f16::from_f32(12.5));
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pub fn to_f32(self) -> f32

Converts a f16 value into a f32 value.

This conversion is lossless as all 16-bit floating point values can be represented exactly in 32-bit floating point.

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pub const fn to_f32_const(self) -> f32

Converts a f16 value into a f32 value.

This function is identical to to_f32 except it never uses hardware intrinsics, which allows it to be const. to_f32 should be preferred in any non-const context.

This conversion is lossless as all 16-bit floating point values can be represented exactly in 32-bit floating point.

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pub fn to_f64(self) -> f64

Converts a f16 value into a f64 value.

This conversion is lossless as all 16-bit floating point values can be represented exactly in 64-bit floating point.

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pub const fn to_f64_const(self) -> f64

Converts a f16 value into a f64 value.

This function is identical to to_f64 except it never uses hardware intrinsics, which allows it to be const. to_f64 should be preferred in any non-const context.

This conversion is lossless as all 16-bit floating point values can be represented exactly in 64-bit floating point.

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pub const fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise.

Examples

let nan = f16::NAN;
let f = f16::from_f32(7.0_f32);

assert!(nan.is_nan());
assert!(!f.is_nan());
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pub const fn is_infinite(self) -> bool

Returns true if this value is ±∞ and false. otherwise.

Examples

let f = f16::from_f32(7.0f32);
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());
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pub const fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN.

Examples

let f = f16::from_f32(7.0f32);
let inf = f16::INFINITY;
let neg_inf = f16::NEG_INFINITY;
let nan = f16::NAN;

assert!(f.is_finite());

assert!(!nan.is_finite());
assert!(!inf.is_finite());
assert!(!neg_inf.is_finite());
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pub const fn is_normal(self) -> bool

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

Examples

let min = f16::MIN_POSITIVE;
let max = f16::MAX;
let lower_than_min = f16::from_f32(1.0e-10_f32);
let zero = f16::from_f32(0.0_f32);

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

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.

Examples
use std::num::FpCategory;

let num = f16::from_f32(12.4_f32);
let inf = f16::INFINITY;

assert_eq!(num.classify(), FpCategory::Normal);
assert_eq!(inf.classify(), FpCategory::Infinite);
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pub const fn signum(self) -> f16

Returns a number that represents the sign of self.

  • 1.0 if the number is positive, +0.0 or INFINITY
  • -1.0 if the number is negative, -0.0 or NEG_INFINITY
  • NAN if the number is NaN
Examples

let f = f16::from_f32(3.5_f32);

assert_eq!(f.signum(), f16::from_f32(1.0));
assert_eq!(f16::NEG_INFINITY.signum(), f16::from_f32(-1.0));

assert!(f16::NAN.signum().is_nan());
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pub const fn is_sign_positive(self) -> bool

Returns true if and only if self has a positive sign, including +0.0, NaNs with a positive sign bit and +∞.

Examples

let nan = f16::NAN;
let f = f16::from_f32(7.0_f32);
let g = f16::from_f32(-7.0_f32);

assert!(f.is_sign_positive());
assert!(!g.is_sign_positive());
// `NaN` can be either positive or negative
assert!(nan.is_sign_positive() != nan.is_sign_negative());
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pub const fn is_sign_negative(self) -> bool

Returns true if and only if self has a negative sign, including -0.0, NaNs with a negative sign bit and −∞.

Examples

let nan = f16::NAN;
let f = f16::from_f32(7.0f32);
let g = f16::from_f32(-7.0f32);

assert!(!f.is_sign_negative());
assert!(g.is_sign_negative());
// `NaN` can be either positive or negative
assert!(nan.is_sign_positive() != nan.is_sign_negative());
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pub const fn copysign(self, sign: f16) -> f16

Returns a number composed of the magnitude of self and the sign of sign.

Equal to self if the sign of self and sign are the same, otherwise equal to -self. If self is NaN, then NaN with the sign of sign is returned.

Examples
let f = f16::from_f32(3.5);

assert_eq!(f.copysign(f16::from_f32(0.42)), f16::from_f32(3.5));
assert_eq!(f.copysign(f16::from_f32(-0.42)), f16::from_f32(-3.5));
assert_eq!((-f).copysign(f16::from_f32(0.42)), f16::from_f32(3.5));
assert_eq!((-f).copysign(f16::from_f32(-0.42)), f16::from_f32(-3.5));

assert!(f16::NAN.copysign(f16::from_f32(1.0)).is_nan());
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pub fn max(self, other: f16) -> f16

Returns the maximum of the two numbers.

If one of the arguments is NaN, then the other argument is returned.

Examples
let x = f16::from_f32(1.0);
let y = f16::from_f32(2.0);

assert_eq!(x.max(y), y);
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pub fn min(self, other: f16) -> f16

Returns the minimum of the two numbers.

If one of the arguments is NaN, then the other argument is returned.

Examples
let x = f16::from_f32(1.0);
let y = f16::from_f32(2.0);

assert_eq!(x.min(y), x);
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pub fn clamp(self, min: f16, max: f16) -> f16

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
assert!(f16::from_f32(-3.0).clamp(f16::from_f32(-2.0), f16::from_f32(1.0)) == f16::from_f32(-2.0));
assert!(f16::from_f32(0.0).clamp(f16::from_f32(-2.0), f16::from_f32(1.0)) == f16::from_f32(0.0));
assert!(f16::from_f32(2.0).clamp(f16::from_f32(-2.0), f16::from_f32(1.0)) == f16::from_f32(1.0));
assert!(f16::NAN.clamp(f16::from_f32(-2.0), f16::from_f32(1.0)).is_nan());
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pub fn total_cmp(&self, other: &f16) -> Ordering

Returns 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.

Examples
let mut v: Vec<f16> = vec![];
v.push(f16::ONE);
v.push(f16::INFINITY);
v.push(f16::NEG_INFINITY);
v.push(f16::NAN);
v.push(f16::MAX_SUBNORMAL);
v.push(-f16::MAX_SUBNORMAL);
v.push(f16::ZERO);
v.push(f16::NEG_ZERO);
v.push(f16::NEG_ONE);
v.push(f16::MIN_POSITIVE);

v.sort_by(|a, b| a.total_cmp(&b));

assert!(v
    .into_iter()
    .zip(
        [
            f16::NEG_INFINITY,
            f16::NEG_ONE,
            -f16::MAX_SUBNORMAL,
            f16::NEG_ZERO,
            f16::ZERO,
            f16::MAX_SUBNORMAL,
            f16::MIN_POSITIVE,
            f16::ONE,
            f16::INFINITY,
            f16::NAN
        ]
        .iter()
    )
    .all(|(a, b)| a.to_bits() == b.to_bits()));
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pub const DIGITS: u32 = 3u32

Approximate number of f16 significant digits in base 10

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pub const EPSILON: f16 = f16(5120u16)

f16 machine epsilon value

This is the difference between 1.0 and the next largest representable number.

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pub const INFINITY: f16 = f16(31744u16)

f16 positive Infinity (+∞)

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pub const MANTISSA_DIGITS: u32 = 11u32

Number of f16 significant digits in base 2

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pub const MAX: f16 = f16(31743)

Largest finite f16 value

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pub const MAX_10_EXP: i32 = 4i32

Maximum possible f16 power of 10 exponent

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pub const MAX_EXP: i32 = 16i32

Maximum possible f16 power of 2 exponent

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pub const MIN: f16 = f16(64511)

Smallest finite f16 value

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pub const MIN_10_EXP: i32 = -4i32

Minimum possible normal f16 power of 10 exponent

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pub const MIN_EXP: i32 = -13i32

One greater than the minimum possible normal f16 power of 2 exponent

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pub const MIN_POSITIVE: f16 = f16(1024u16)

Smallest positive normal f16 value

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pub const NAN: f16 = f16(32256u16)

f16 Not a Number (NaN)

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pub const NEG_INFINITY: f16 = f16(64512u16)

f16 negative infinity (-∞)

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pub const RADIX: u32 = 2u32

The radix or base of the internal representation of f16

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pub const MIN_POSITIVE_SUBNORMAL: f16 = f16(1u16)

Minimum positive subnormal f16 value

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pub const MAX_SUBNORMAL: f16 = f16(1023u16)

Maximum subnormal f16 value

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pub const ONE: f16 = f16(15360u16)

f16 1

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pub const ZERO: f16 = f16(0u16)

f16 0

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pub const NEG_ZERO: f16 = f16(32768u16)

f16 -0

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pub const NEG_ONE: f16 = f16(48128u16)

f16 -1

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pub const E: f16 = f16(16752u16)

f16 Euler’s number (ℯ)

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pub const PI: f16 = f16(16968u16)

f16 Archimedes’ constant (π)

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pub const FRAC_1_PI: f16 = f16(13592u16)

f16 1/π

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pub const FRAC_1_SQRT_2: f16 = f16(14760u16)

f16 1/√2

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pub const FRAC_2_PI: f16 = f16(14616u16)

f16 2/π

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pub const FRAC_2_SQRT_PI: f16 = f16(15491u16)

f16 2/√π

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pub const FRAC_PI_2: f16 = f16(15944u16)

f16 π/2

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pub const FRAC_PI_3: f16 = f16(15408u16)

f16 π/3

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pub const FRAC_PI_4: f16 = f16(14920u16)

f16 π/4

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pub const FRAC_PI_6: f16 = f16(14384u16)

f16 π/6

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pub const FRAC_PI_8: f16 = f16(13896u16)

f16 π/8

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pub const LN_10: f16 = f16(16539u16)

f16 𝗅𝗇 10

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pub const LN_2: f16 = f16(14732u16)

f16 𝗅𝗇 2

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pub const LOG10_E: f16 = f16(14067u16)

f16 𝗅𝗈𝗀₁₀ℯ

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pub const LOG10_2: f16 = f16(13521u16)

f16 𝗅𝗈𝗀₁₀2

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pub const LOG2_E: f16 = f16(15813u16)

f16 𝗅𝗈𝗀₂ℯ

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pub const LOG2_10: f16 = f16(17061u16)

f16 𝗅𝗈𝗀₂10

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pub const SQRT_2: f16 = f16(15784u16)

f16 √2

Trait Implementations§

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impl Add<&f16> for &f16

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

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

Performs the + operation. Read more
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impl Add<&f16> for f16

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

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

Performs the + operation. Read more
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impl Add<f16> for &f16

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

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

Performs the + operation. Read more
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impl Add<f16> for f16

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type Output = f16

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

Performs the + operation. Read more
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impl AddAssign<&f16> for f16

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

Performs the += operation. Read more
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impl AddAssign<f16> for f16

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fn add_assign(&mut self, rhs: f16)

Performs the += operation. Read more
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impl Binary for f16

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

Formats the value using the given formatter.
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impl Clone for f16

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fn clone(&self) -> f16

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for f16

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

Formats the value using the given formatter. Read more
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impl Default for f16

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fn default() -> f16

Returns the “default value” for a type. Read more
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impl Display for f16

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

Formats the value using the given formatter. Read more
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impl Div<&f16> for &f16

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

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

Performs the / operation. Read more
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impl Div<&f16> for f16

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

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

Performs the / operation. Read more
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impl Div<f16> for &f16

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

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

Performs the / operation. Read more
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impl Div<f16> for f16

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type Output = f16

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

Performs the / operation. Read more
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impl DivAssign<&f16> for f16

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

Performs the /= operation. Read more
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impl DivAssign<f16> for f16

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fn div_assign(&mut self, rhs: f16)

Performs the /= operation. Read more
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impl From<i8> for f16

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fn from(x: i8) -> f16

Converts to this type from the input type.
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impl From<u8> for f16

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fn from(x: u8) -> f16

Converts to this type from the input type.
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impl FromStr for f16

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type Err = ParseFloatError

The associated error which can be returned from parsing.
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fn from_str(src: &str) -> Result<f16, ParseFloatError>

Parses a string s to return a value of this type. Read more
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impl LowerExp for f16

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

Formats the value using the given formatter.
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impl LowerHex for f16

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

Formats the value using the given formatter.
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impl Mul<&f16> for &f16

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

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

Performs the * operation. Read more
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impl Mul<&f16> for f16

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

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

Performs the * operation. Read more
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impl Mul<f16> for &f16

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

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

Performs the * operation. Read more
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impl Mul<f16> for f16

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type Output = f16

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

Performs the * operation. Read more
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impl MulAssign<&f16> for f16

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

Performs the *= operation. Read more
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impl MulAssign<f16> for f16

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fn mul_assign(&mut self, rhs: f16)

Performs the *= operation. Read more
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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
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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 as Neg>::Output

Performs the unary - operation. Read more
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impl Octal for f16

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

Formats the value using the given formatter.
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impl PartialEq<f16> 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: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd<f16> 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 gt(&self, other: &f16) -> bool

This method tests greater than (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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impl<'a> Product<&'a f16> for f16

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fn product<I>(iter: I) -> f16where I: Iterator<Item = &'a f16>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Product<f16> for f16

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fn product<I>(iter: I) -> f16where I: Iterator<Item = f16>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Rem<&f16> for &f16

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

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

Performs the % operation. Read more
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impl Rem<&f16> for f16

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

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

Performs the % operation. Read more
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impl Rem<f16> for &f16

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

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

Performs the % operation. Read more
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impl Rem<f16> for f16

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type Output = f16

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

Performs the % operation. Read more
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impl RemAssign<&f16> for f16

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

Performs the %= operation. Read more
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impl RemAssign<f16> for f16

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fn rem_assign(&mut self, rhs: f16)

Performs the %= operation. Read more
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impl Sub<&f16> for &f16

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

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

Performs the - operation. Read more
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impl Sub<&f16> for f16

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

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

Performs the - operation. Read more
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impl Sub<f16> for &f16

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

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

Performs the - operation. Read more
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impl Sub<f16> for f16

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type Output = f16

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

Performs the - operation. Read more
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impl SubAssign<&f16> for f16

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

Performs the -= operation. Read more
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impl SubAssign<f16> for f16

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fn sub_assign(&mut self, rhs: f16)

Performs the -= operation. Read more
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impl<'a> Sum<&'a f16> for f16

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fn sum<I>(iter: I) -> f16where I: Iterator<Item = &'a f16>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl Sum<f16> for f16

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fn sum<I>(iter: I) -> f16where I: Iterator<Item = f16>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl Type for f16

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const MIN: f64 = 0f64

Min value
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const MAX: f64 = 1f64

Max value
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const BASE: BaseType = io::BaseType::Half

I/O base type
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fn to_f64(&self) -> f64

Convert to f64
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fn from_f64(f: f64) -> Self

Convert from f64
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fn is_float() -> bool

Returns true when T is a floating point type
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fn type_name() -> &'static str

Get the type name
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fn set_from_f64(&mut self, f: f64)

Set a value from an f64 value
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fn set_from_norm(&mut self, f: f64)

Set a value from normalized float
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fn to_norm(&self) -> f64

Convert from T to normalized float
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fn from_norm(f: f64) -> Self

Convert to T from normalized float
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fn normalize(f: f64) -> f64

Scale a value to fit between 0 and 1.0 based on the min/max values for T
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fn denormalize(f: f64) -> f64

Scale an f64 value to fit the range supported by T
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fn clamp(f: f64) -> f64

Ensure the given value is less than the max allowed and greater than or equal to the minimum value
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fn convert<X: Type>(&self) -> X

Convert a value from one type to another
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fn bits() -> usize

Get the number of bits for a data type
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impl UpperExp for f16

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

Formats the value using the given formatter.
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impl UpperHex for f16

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

Formats the value using the given formatter.
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impl Copy for f16

Auto Trait Implementations§

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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 Twhere 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 Twhere T: ?Sized,

const: unstable · source§

fn borrow(&self) -> &T

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

const: unstable · source§

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

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

const: unstable · source§

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere U: From<T>,

const: unstable · source§

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> Pointable for T

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const ALIGN: usize = mem::align_of::<T>()

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> ToOwned for Twhere T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for Twhere T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
const: unstable · source§

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 Twhere U: TryFrom<T>,

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

The type returned in the event of a conversion error.
const: unstable · source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T, Rhs> NumAssignOps<Rhs> for Twhere T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,

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impl<T, Rhs, Output> NumOps<Rhs, Output> for Twhere T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>,

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impl<T, Base> RefNum<Base> for Twhere T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base>,