pub struct UnionFind<K> { /* private fields */ }
Expand description

UnionFind<K> is a disjoint-set data structure. It tracks set membership of n elements indexed from 0 to n - 1. The scalar type is K which must be an unsigned integer type.

http://en.wikipedia.org/wiki/Disjoint-set_data_structure

Too awesome not to quote:

“The amortized time per operation is O(α(n)) where α(n) is the inverse of f(x) = A(x, x) with A being the extremely fast-growing Ackermann function.”

Implementations§

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impl<K> UnionFind<K>
where K: IndexType,

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pub fn new(n: usize) -> Self

Create a new UnionFind of n disjoint sets.

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pub fn find(&self, x: K) -> K

Return the representative for x.

Panics if x is out of bounds.

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pub fn find_mut(&mut self, x: K) -> K

Return the representative for x.

Write back the found representative, flattening the internal datastructure in the process and quicken future lookups.

Panics if x is out of bounds.

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pub fn equiv(&self, x: K, y: K) -> bool

Returns true if the given elements belong to the same set, and returns false otherwise.

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pub fn union(&mut self, x: K, y: K) -> bool

Unify the two sets containing x and y.

Return false if the sets were already the same, true if they were unified.

Panics if x or y is out of bounds.

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pub fn into_labeling(self) -> Vec<K>

Return a vector mapping each element to its representative.

Trait Implementations§

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impl<K: Clone> Clone for UnionFind<K>

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fn clone(&self) -> UnionFind<K>

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<K: Debug> Debug for UnionFind<K>

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

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl<K> RefUnwindSafe for UnionFind<K>
where K: RefUnwindSafe,

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impl<K> Send for UnionFind<K>
where K: Send,

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impl<K> Sync for UnionFind<K>
where K: Sync,

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impl<K> Unpin for UnionFind<K>
where K: Unpin,

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impl<K> UnwindSafe for UnionFind<K>
where K: UnwindSafe,

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> 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<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.