Struct Composition

pub struct Composition<S: Semiring>(pub S);

Linearの合成

Tuple Fields

0: S

Trait Implementations

impl<T: Copy, S: Semiring<Element = T>> BinaryOp for Composition<S>

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

二項演算

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。

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。

impl<S: Clone + Semiring> Clone for Composition<S>

fn clone(&self) -> Composition<S>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<S: Debug + Semiring> Debug for Composition<S>

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

Formats the value using the given formatter.

impl<S: Default + Semiring> Default for Composition<S>

fn default() -> Composition<S>

Returns the “default value” for a type.

impl<S: Hash + Semiring> Hash for Composition<S>

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

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T: Copy, S: Semiring<Element = T>> Identity for Composition<S>

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

単位元

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

where Self::Element: PartialEq,

単位元の判定

impl<S: PartialEq + Semiring> PartialEq for Composition<S>

fn eq(&self, other: &Composition<S>) -> bool

Tests for self and other values to be equal, and is used by ==.

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

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

impl<T: Copy, S: Semiring<Element = T>> Set for Composition<S>

type Element = Linear<T>

集合の元

impl<T: Copy, S: Semiring<Element = T>> Associative for Composition<S>

impl<S: Copy + Semiring> Copy for Composition<S>

impl<S: Eq + Semiring> Eq for Composition<S>

impl<S: Semiring> StructuralPartialEq for Composition<S>