Struct Dual

pub struct Dual<S>(pub S);

演算の順序を逆にした代数的構造

Tuple Fields

0: S

Trait Implementations

impl<S: BinaryOp> BinaryOp for Dual<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> Clone for Dual<S>

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<S: Debug> Debug for Dual<S>

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

Formats the value using the given formatter.

impl<S: Default> Default for Dual<S>

fn default() -> Dual<S>

Returns the “default value” for a type.

impl<S: Hash> Hash for Dual<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: Identity> Identity for Dual<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: Inverse> Inverse for Dual<S>

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

逆元

impl<S: Ord> Ord for Dual<S>

fn cmp(&self, other: &Dual<S>) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl<S: PartialEq> PartialEq for Dual<S>

fn eq(&self, other: &Dual<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: PartialOrd> PartialOrd for Dual<S>

fn partial_cmp(&self, other: &Dual<S>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl<S: Set> Set for Dual<S>

type Element = <S as Set>::Element

集合の元

impl<S: Associative> Associative for Dual<S>

impl<S: Commutative> Commutative for Dual<S>

impl<S: Copy> Copy for Dual<S>

impl<S: Eq> Eq for Dual<S>

impl<S: Idempotence> Idempotence for Dual<S>

impl<S> StructuralPartialEq for Dual<S>