Struct Prod

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pub struct Prod<T>(pub T);
Expand description

乗算を演算とする代数的構造

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§0: T

Trait Implementations§

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impl<const M: u32> BinaryOp for Prod<ConstModInt<M>>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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<T: Copy + One + Zero + Add<Output = T> + Mul<Output = T>, const N: usize> BinaryOp for Prod<Matrix<T, N, N>>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<f32>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<f64>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<i128>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<i16>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<i32>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<i64>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<i8>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<isize>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<u128>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<u16>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<u32>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<u64>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<u8>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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 BinaryOp for Prod<usize>

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fn op(self, b: Self) -> Self

二項演算
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fn op_assign_r(&mut self, b: Self)
where Self: 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(&mut self, b: Self)
where Self: 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<T: Clone> Clone for Prod<T>

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fn clone(&self) -> Prod<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 Prod<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> Default for Prod<T>

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fn default() -> Prod<T>

Returns the “default value” for a type. Read more
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impl<const M: u32> Identity for Prod<ConstModInt<M>>

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fn id() -> Self

単位元
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impl<T: Copy + One + Zero + Add<Output = T> + Mul<Output = T>, const N: usize> Identity for Prod<Matrix<T, N, N>>

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fn id() -> Self

単位元
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impl Identity for Prod<f32>

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fn id() -> Self

単位元
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impl Identity for Prod<f64>

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fn id() -> Self

単位元
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impl Identity for Prod<i128>

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fn id() -> Self

単位元
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impl Identity for Prod<i16>

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fn id() -> Self

単位元
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impl Identity for Prod<i32>

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fn id() -> Self

単位元
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impl Identity for Prod<i64>

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fn id() -> Self

単位元
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impl Identity for Prod<i8>

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fn id() -> Self

単位元
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impl Identity for Prod<isize>

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fn id() -> Self

単位元
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impl Identity for Prod<u128>

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fn id() -> Self

単位元
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impl Identity for Prod<u16>

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fn id() -> Self

単位元
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impl Identity for Prod<u32>

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fn id() -> Self

単位元
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impl Identity for Prod<u64>

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fn id() -> Self

単位元
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impl Identity for Prod<u8>

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fn id() -> Self

単位元
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impl Identity for Prod<usize>

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fn id() -> Self

単位元
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impl<T: PartialEq> PartialEq for Prod<T>

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fn eq(&self, other: &Prod<T>) -> 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<const M: u32> Associative for Prod<ConstModInt<M>>

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impl<T: Copy + One + Zero + Add<Output = T> + Mul<Output = T>, const N: usize> Associative for Prod<Matrix<T, N, N>>

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impl Associative for Prod<f32>

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impl Associative for Prod<f64>

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impl Associative for Prod<i128>

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impl Associative for Prod<i16>

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impl Associative for Prod<i32>

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impl Associative for Prod<i64>

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impl Associative for Prod<i8>

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impl Associative for Prod<isize>

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impl Associative for Prod<u128>

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impl Associative for Prod<u16>

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impl Associative for Prod<u32>

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impl Associative for Prod<u64>

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impl Associative for Prod<u8>

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impl Associative for Prod<usize>

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impl<const M: u32> Commutative for Prod<ConstModInt<M>>

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impl Commutative for Prod<f32>

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impl Commutative for Prod<f64>

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impl Commutative for Prod<i128>

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impl Commutative for Prod<i16>

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impl Commutative for Prod<i32>

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impl Commutative for Prod<i64>

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impl Commutative for Prod<i8>

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impl Commutative for Prod<isize>

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impl Commutative for Prod<u128>

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impl Commutative for Prod<u16>

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impl Commutative for Prod<u32>

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impl Commutative for Prod<u64>

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impl Commutative for Prod<u8>

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impl Commutative for Prod<usize>

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impl<T: Copy> Copy for Prod<T>

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impl<T: Eq> Eq for Prod<T>

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impl<const M: u32> Set for Prod<ConstModInt<M>>

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impl<T: Copy + One + Zero + Add<Output = T> + Mul<Output = T>, const N: usize> Set for Prod<Matrix<T, N, N>>

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impl Set for Prod<f32>

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impl Set for Prod<f64>

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impl Set for Prod<i128>

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impl Set for Prod<i16>

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impl Set for Prod<i32>

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impl Set for Prod<i64>

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impl Set for Prod<i8>

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impl Set for Prod<isize>

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impl Set for Prod<u128>

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impl Set for Prod<u16>

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impl Set for Prod<u32>

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impl Set for Prod<u64>

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impl Set for Prod<u8>

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impl Set for Prod<usize>

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impl<T> StructuralPartialEq for Prod<T>

Auto Trait Implementations§

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impl<T> Freeze for Prod<T>
where T: Freeze,

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

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

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

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

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

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<A> Times for A
where A: BinaryOp + Identity + Clone,

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fn times(self, n: u64) -> Self

$\underbrace{a \circ a \circ \dots \circ a \circ a}_{n}$を計算する。 Read more
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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> AbelianMonoid for T
where T: Monoid + Commutative,

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impl<T> Monoid for T
where T: Semigroup + Identity,

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impl<T> Semigroup for T
where T: BinaryOp + Associative,