BrainFloat16

Struct BrainFloat16 

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pub struct BrainFloat16(pub bf16);
Available on crate feature half only.
Expand description

A 16-bit brain floating-point (w) number, from the set $\R$, also known as Bf16.

The range of valid numeric values is $\lbrack$bf16::MIN $\dots$ bf16::MAX$\rbrack$.

It is comprised of 1 sign bit, 8 exponent bits, and 7 significand bits.

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§0: bf16

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impl BrainFloat16

§Constructors

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pub const fn new(value: bf16) -> Self

Returns a new BrainFloat16.

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impl Bound for BrainFloat16

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fn is_lower_bounded(&self) -> bool

Returns true if the number is lower bounded.
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fn is_upper_bounded(&self) -> bool

Returns true if the number is upper bounded.
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fn lower_bound(&self) -> Option<Self>

Returns the lower bound, if any.
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fn upper_bound(&self) -> Option<Self>

Returns the upper bound, if any.
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impl Clone for BrainFloat16

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fn clone(&self) -> BrainFloat16

Returns a duplicate 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 ConstLowerBounded for BrainFloat16

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const MIN: Self

The smallest value that can be represented with this type.
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impl ConstNegOne for BrainFloat16

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const NEG_ONE: Self

The additive inverse of the multiplicative identity, -1.
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impl ConstOne for BrainFloat16

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const ONE: Self

The multiplicative identity, 1.
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impl ConstUpperBounded for BrainFloat16

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const MAX: Self

The largest value that can be represented with this type.
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impl ConstZero for BrainFloat16

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const ZERO: Self

The additive identity, 0.
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impl Count for BrainFloat16

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fn is_countable(&self) -> bool

Returns true if the number is countable.
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fn is_uncountable(&self) -> bool

Returns false if the number is countable.
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impl Countable for BrainFloat16

Unimplemented.

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fn next(&self) -> NumeraResult<Self>

Not implemented.

§Errors

Returns NotImplemented.

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fn previous(&self) -> NumeraResult<Self>

Not implemented.

§Errors

Returns NotImplemented.

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impl Debug for BrainFloat16

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

Formats the value using the given formatter. Read more
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impl Default for BrainFloat16

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fn default() -> BrainFloat16

Returns the “default value” for a type. Read more
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impl Display for BrainFloat16

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

Formats the value using the given formatter. Read more
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impl From<&bf16> for BrainFloat16

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fn from(f: &bf16) -> Self

Converts to this type from the input type.
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impl From<&mut bf16> for BrainFloat16

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fn from(f: &mut bf16) -> Self

Converts to this type from the input type.
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impl From<bf16> for BrainFloat16

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fn from(f: bf16) -> Self

Converts to this type from the input type.
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impl Ident for BrainFloat16

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fn can_zero(&self) -> bool

Returns true if the number can represent 0, the additive identity. Read more
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fn can_one(&self) -> bool

Returns true if the number can represent 1, the multiplicative identity. Read more
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fn can_neg_one(&self) -> bool

Returns true if the number can represent -1, the additive inverse of the multiplicative identity. Read more
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fn is_zero(&self) -> bool

Returns true if the current value is 0. the additive identity.
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fn is_one(&self) -> bool

Returns true if the current value is 1, the multiplicative identity.
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fn is_neg_one(&self) -> bool

Returns true if the current value is -1, the additive inverse of the multiplicative identity.
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impl LowerBounded for BrainFloat16

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fn new_min() -> Self

The smallest value that can be represented with this type.
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impl NegOne for BrainFloat16

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fn new_neg_one() -> Self

Returns a new additive inverse of the multiplicative identity, -1.
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fn set_neg_one(&mut self)
where Self: Sized,

Sets this number to -1.
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impl Number for BrainFloat16

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fn from_inner_repr(value: Self::InnerRepr) -> NumeraResult<Self>

Returns a new BrainFloat16 from the inner representation.

§Errors

This function can’t fail.

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unsafe fn from_inner_repr_unchecked(value: Self::InnerRepr) -> Self

Available on crate feature not(safe) only.

Returns a new BrainFloat16 from the inner representation`.

§Safety

This function is safe.

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fn from_innermost_repr(value: Self::InnermostRepr) -> NumeraResult<Self>

Returns a new BrainFloat16 from the innermost representation.

§Errors

This function can’t fail.

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unsafe fn from_innermost_repr_unchecked(value: Self::InnermostRepr) -> Self

Available on crate feature not(safe) only.

Returns a new BrainFloat16 from the innermost representation.

§Safety
§This function is safe.
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type InnerRepr = bf16

The inner primitive representation of the number. Read more
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type InnermostRepr = bf16

The innermost primitive representation of the number. Read more
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fn into_inner_repr(self) -> Self::InnerRepr

Deconstructs the number to its inner representation.
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fn into_innermost_repr(self) -> Self::InnermostRepr

Deconstructs the number to its innermost representation.
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fn try_from_inner_repr(inner: impl Into<Self::InnerRepr>) -> NumeraResult<Self>
where Self: Sized,

Forms a new number from its converted given inner representation. Read more
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impl One for BrainFloat16

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fn new_one() -> Self

Returns a new multiplicative identity, 1.
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fn set_one(&mut self)
where Self: Sized,

Sets this number to 1.
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impl PartialEq for BrainFloat16

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fn eq(&self, other: &BrainFloat16) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd for BrainFloat16

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fn partial_cmp(&self, other: &BrainFloat16) -> 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: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

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: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl Sign for BrainFloat16

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fn can_negative(&self) -> bool

Returns true if the type can represent negative numbers.
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fn can_positive(&self) -> bool

Returns true if the type can represent positive numbers.
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fn is_negative(&self) -> bool

Returns true if the value is negative (< 0).
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fn is_positive(&self) -> bool

Returns true if the value is positive (> 0).
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impl TryFrom<&f16> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: &f16) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<&f32> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: &f32) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<&f64> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: &f64) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<&mut f16> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: &mut f16) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<&mut f32> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: &mut f32) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<&mut f64> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: &mut f64) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<f16> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: f16) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<f32> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: f32) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl TryFrom<f64> for BrainFloat16

Available on crate feature try_from only.
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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(f: f64) -> NumeraResult<BrainFloat16>

Performs the conversion.
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impl UpperBounded for BrainFloat16

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fn new_max() -> Self

The largest value that can be represented with this type.
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impl Zero for BrainFloat16

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fn new_zero() -> Self

Returns a new additive identity, 0.
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fn set_zero(&mut self)
where Self: Sized,

Sets this number to 0.
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impl Copy for BrainFloat16

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impl Negative for BrainFloat16

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impl Positive for BrainFloat16

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impl StructuralPartialEq for BrainFloat16

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Also for T

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fn also_mut<F>(self, f: F) -> Self
where F: FnOnce(&mut Self),

Applies a function which takes the parameter by exclusive reference, and then returns the (possibly) modified owned value. Read more
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fn also_ref<F>(self, f: F) -> Self
where F: FnOnce(&Self),

Applies a function which takes the parameter by shared reference, and then returns the (possibly) modified owned value. Read more
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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, Res> Apply<Res> for T
where T: ?Sized,

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fn apply<F>(self, f: F) -> Res
where F: FnOnce(Self) -> Res, Self: Sized,

Apply a function which takes the parameter by value.
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fn apply_ref<F>(&self, f: F) -> Res
where F: FnOnce(&Self) -> Res,

Apply a function which takes the parameter by shared reference.
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fn apply_mut<F>(&mut self, f: F) -> Res
where F: FnOnce(&mut Self) -> Res,

Apply a function which takes the parameter by exclusive reference.
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impl<T> Az for T

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fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
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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<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

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fn cast_from(src: Src) -> Dst

Casts the value.
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impl<T> CheckedAs for T

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fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
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impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

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fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. 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> OverflowingAs for T

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fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
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impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

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fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
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impl<T> SaturatingAs for T

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fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
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impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

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fn saturating_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> ToOwned for T
where 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 T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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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.
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impl<T> UnwrappedAs for T

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fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
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impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

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fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> WrappingAs for T

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fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
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impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

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fn wrapping_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> Bounded for T

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impl<T> ConstBounded for T

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impl<T> Signed for T
where T: Positive + Negative,