Struct Trivial

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pub struct Trivial;
Expand description

自明な群

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impl BinaryOp for Trivial

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fn op(&self, a: Self::Element, b: Self::Element) -> Self::Element

二項演算
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fn op_assign_r(&self, a: &mut Self::Element, b: Self::Element)
where Self::Element: Clone,

二項演算$\circ$で(右側から)代入操作($a \leftarrow a \circ b$)をする。
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fn op_assign_l(&self, a: &mut Self::Element, b: Self::Element)
where Self::Element: Clone,

二項演算$\circ$で(左側から)代入操作($a \leftarrow b \circ a$)をする。
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impl Clone for Trivial

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fn clone(&self) -> Trivial

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 Debug for Trivial

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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 Trivial

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fn default() -> Trivial

Returns the “default value” for a type. Read more
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impl Hash for Trivial

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl Identity for Trivial

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fn id(&self) -> Self::Element

単位元
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fn is_id(&self, a: &Self::Element) -> bool
where Self::Element: PartialEq,

単位元の判定
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impl Inverse for Trivial

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fn inv(&self, a: Self::Element) -> Self::Element

逆元
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impl Ord for Trivial

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fn cmp(&self, other: &Trivial) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
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impl PartialEq for Trivial

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fn eq(&self, other: &Trivial) -> 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 Trivial

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fn partial_cmp(&self, other: &Trivial) -> 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 Set for Trivial

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type Element = ()

集合の元
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impl Associative for Trivial

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impl Commutative for Trivial

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impl Copy for Trivial

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impl Eq for Trivial

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impl Idempotence for Trivial

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impl StructuralPartialEq for Trivial

Auto Trait Implementations§

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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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> Monoid for T
where T: Semigroup + Identity,

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fn fold_m<I>(&self, iter: I) -> Self::Element
where I: IntoIterator<Item = Self::Element>,

iterが空のとき、モノイドの単位元を返す。 そうでないとき、iterの中身を二項演算で畳み込んで返す。
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fn times(&self, a: Self::Element, n: u64) -> Self::Element
where Self::Element: Clone,

$\underbrace{a \circ a \circ \dots \circ a \circ a}_{n}$を計算する。
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impl<T> Semigroup for T
where T: BinaryOp + Associative,

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fn reduce<I>(&self, iter: I) -> Option<Self::Element>
where I: IntoIterator<Item = Self::Element>,

iterが空のとき、Noneを返す。 そうでないとき、iterの中身を二項演算で畳み込んでSomeで返す。
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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, 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> AbelianGroup for T
where T: Group + Commutative,

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impl<T> AbelianMonoid for T
where T: Monoid + Commutative,

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impl<T> Group for T
where T: Monoid + Inverse,

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impl<T> Semilattice for T