Enum nekolib::utils::OpMul

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pub enum OpMul<T> {
    OpMulV,
    _Marker(T),
}
Expand description

積を返す演算を持つ。

std::ops::Mul により定義される。 単位元は One、逆元は MulRecip で定義する。 結合法則を満たすときは MulAssoc、交換法則を満たすときは MulComm を実装することで示す。

Variants§

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OpMulV

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_Marker(T)

Trait Implementations§

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impl<T: Clone> Clone for OpMul<T>

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fn clone(&self) -> OpMul<T>

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<T: Debug> Debug for OpMul<T>

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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<T> Default for OpMul<T>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<T> Identity for OpMul<T>where T: Mul<Output = T> + Eq + Sized + One,

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

単位元を返す。
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impl<T> Magma for OpMul<T>where T: Mul<Output = T> + Eq + Sized,

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type Set = T

集合 $M$ に対応する型。
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fn op(&self, x: Self::Set, y: Self::Set) -> Self::Set

$x \circ y$ を返す。
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impl<T: PartialEq> PartialEq<OpMul<T>> for OpMul<T>

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fn eq(&self, other: &OpMul<T>) -> 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<T> PartialRecip for OpMul<T>where T: Mul<Output = T> + Eq + Sized + MulRecip<Output = T>,

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fn partial_recip(&self, x: Self::Set) -> Option<Self::Set>

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impl<T> Recip for OpMul<T>where T: Mul<Output = T> + Eq + Sized + MulRecip<Output = T>,

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fn recip(&self, x: Self::Set) -> Self::Set

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impl<T> Associative for OpMul<T>where T: Mul<Output = T> + Eq + Sized + MulAssoc,

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impl<T> Commutative for OpMul<T>where T: Mul<Output = T> + Eq + Sized + MulComm,

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impl<T: Copy> Copy for OpMul<T>

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impl Distributive<OpAdd<i128>> for OpMul<i128>

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impl Distributive<OpAdd<i16>> for OpMul<i16>

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impl Distributive<OpAdd<i32>> for OpMul<i32>

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impl Distributive<OpAdd<i64>> for OpMul<i64>

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impl Distributive<OpAdd<i8>> for OpMul<i8>

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impl Distributive<OpAdd<isize>> for OpMul<isize>

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impl Distributive<OpAdd<u128>> for OpMul<u128>

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impl Distributive<OpAdd<u16>> for OpMul<u16>

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impl Distributive<OpAdd<u32>> for OpMul<u32>

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impl Distributive<OpAdd<u64>> for OpMul<u64>

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impl Distributive<OpAdd<u8>> for OpMul<u8>

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impl Distributive<OpAdd<usize>> for OpMul<usize>

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impl<T: Eq> Eq for OpMul<T>

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impl<T> StructuralEq for OpMul<T>

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impl<T> StructuralPartialEq for OpMul<T>

Auto Trait Implementations§

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impl<T> RefUnwindSafe for OpMul<T>where T: RefUnwindSafe,

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impl<T> Send for OpMul<T>where T: Send,

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impl<T> Sync for OpMul<T>where T: Sync,

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impl<T> Unpin for OpMul<T>where T: Unpin,

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impl<T> UnwindSafe for OpMul<T>where T: UnwindSafe,

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,

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

Performs the conversion.
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impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V

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impl<G> CommutativeGroup for Gwhere G: Commutative + Monoid + Recip,

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impl<G> CommutativeMonoid for Gwhere G: Commutative + Monoid,

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impl<G> Group for Gwhere G: Monoid + Recip,

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impl<G> Monoid for Gwhere G: Identity + Semigroup,

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impl<G> Semigroup for Gwhere G: Associative + Magma,