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

function graph。

Todo

辺にモノイドを持たせて n 個進んだときの fold をするのは ダブリングテーブルとかが必要になって、周期検出をしたいだけのときには オーバーヘッドが大きそう。

なので、FoldableFunctionalGraph とかを別に作ってみる。 それの内部でこれを持っても使えそう。

Complexity

$O(n)$ time.

Examples

+---> 1 ----+     +--- 6 <--- 5
|           |     |
|           v     |
|           2 <---+--- 7     12
0           |
^           v                 8
|           3 <------ 11      |
|           |                 v
+---- 4 <---+     10 <------> 9
$i$0123456789101112
$f(i)$123406229109312
$\mu_i$0000021110010
$\lambda_i$5555555522251
use nekolib::graph::FunctionalGraph;

let f = vec![1, 2, 3, 4, 0, 6, 2, 2, 9, 10, 9, 3, 12];
let n = f.len();
let g: FunctionalGraph = f.into();
let mu = vec![0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0];
let lambda = vec![5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 5, 1];
for i in 0..n {
    assert_eq!(g.mu_lambda(i), (mu[i], lambda[i]));
}

Implementations§

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impl FunctionalGraph

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pub fn mu_lambda(&self, i: usize) -> (usize, usize)

$(\mu_i, \lambda_i)$ を返す。

Trait Implementations§

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impl Clone for FunctionalGraph

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fn clone(&self) -> FunctionalGraph

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 FunctionalGraph

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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 From<Vec<usize, Global>> for FunctionalGraph

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fn from(f: Vec<usize>) -> Self

Converts to this type from the input type.
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impl PartialEq<FunctionalGraph> for FunctionalGraph

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fn eq(&self, other: &FunctionalGraph) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Eq for FunctionalGraph

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impl StructuralEq for FunctionalGraph

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impl StructuralPartialEq for FunctionalGraph

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for Twhere 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 Twhere 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 Twhere 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> 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 Twhere 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<T> ToOwned for Twhere 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 Twhere 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 Twhere 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<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V