Struct Dihedral

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pub struct Dihedral { /* private fields */ }
Expand description

二面体群$D_n$

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impl Dihedral

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pub fn r(i: usize, n: usize) -> Self

$D_n$の回転を表す元$R_i$を返す。

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pub fn s(i: usize, n: usize) -> Self

$D_n$の鏡映を表す元$S_i$を返す。

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impl BinaryOp for Dihedral

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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 Clone for Dihedral

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fn clone(&self) -> Dihedral

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 Debug for Dihedral

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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 Identity for Dihedral

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fn id() -> Self

単位元
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impl Inverse for Dihedral

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fn inv(self) -> Self

逆元
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impl PartialEq for Dihedral

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fn eq(&self, other: &Self) -> 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 Associative for Dihedral

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impl Copy for Dihedral

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impl Set for Dihedral

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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> Group for T
where T: Monoid + Inverse,

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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,