Struct AffineSum

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

Range Affine Range Sum 用のモノイド作用

Tuple Fields

0: Dual<Composition<S>>

Trait Implementations

impl<T, S, M> Act<M> for AffineSum<S>

where M: Monoid<Element = T> + Additive, S: Semiring<Element = T>, Dual<Composition<S>>: Monoid<Element = Linear<T>>,

type Monoid = Dual<Composition<S>>

作用させるモノイド

type Element = Linear<T>

モノイドの元

fn monoid(&self) -> &Self::Monoid

作用させるモノイドへの参照を返す。

fn act( &self, m: &M, val: M::Element, a: Self::Element, len: usize, ) -> M::Element

$val$をn個の値からなる列をモノイド$(\circ, e)$で畳み込んだ値であるとしたとき、 列の各値に$a$を作用させて畳み込んだ値を求める。

fn act_one(&self, m: &M, val: M::Element, a: Self::Element) -> M::Element

self.act(m, val, a, 1)

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

二項演算

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

単位元

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

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

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

Formats the value using the given formatter.

impl<S: Hash + Semiring> Hash for AffineSum<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<S: PartialEq + Semiring> PartialEq for AffineSum<S>

fn eq(&self, other: &AffineSum<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<S: Copy + Semiring> Copy for AffineSum<S>

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

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