FiniteSetEndofunctions

algebraeon_sets::structure

Struct FiniteSetEndofunctions 

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pub struct FiniteSetEndofunctions<X: FiniteSetSignature + EqSignature> { /* private fields */ }
Expand description

The set of all endofunctions on a finite set X: functions X → X

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impl<X: Clone + FiniteSetSignature + EqSignature> Clone for FiniteSetEndofunctions<X>

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fn clone(&self) -> FiniteSetEndofunctions<X>

Returns a duplicate 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<X: FiniteSetSignature + EqSignature> CountableSetSignature for FiniteSetEndofunctions<X>

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fn generate_all_elements(&self) -> impl Iterator<Item = Self::Set> + Clone

Yield distinct elements of the set such that every element eventually appears. Always yields elements in the same order.
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impl<X: Debug + FiniteSetSignature + EqSignature> Debug for FiniteSetEndofunctions<X>

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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<X: FiniteSetSignature + EqSignature> FiniteSetSignature for FiniteSetEndofunctions<X>

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fn list_all_elements(&self) -> Vec<Self::Set>

A list of all elements in the set. Always returns elements in the same order.
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fn size(&self) -> usize

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fn generate_random_elements( &self, seed: u64, ) -> impl Iterator<Item = Self::Set> + Clone

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impl<X: PartialEq + FiniteSetSignature + EqSignature> PartialEq for FiniteSetEndofunctions<X>

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fn eq(&self, other: &FiniteSetEndofunctions<X>) -> 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<X: FiniteSetSignature + EqSignature> SetSignature for FiniteSetEndofunctions<X>

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type Set = Vec<<X as SetSignature>::Set>

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fn is_element(&self, f: &Self::Set) -> Result<(), String>

Some instances of Self::Set may not be valid to represent elements of this set. Return true if x is a valid element and false if not.
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impl<X: Eq + FiniteSetSignature + EqSignature> Eq for FiniteSetEndofunctions<X>

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impl<X: FiniteSetSignature + EqSignature> Signature for FiniteSetEndofunctions<X>

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impl<X: FiniteSetSignature + EqSignature> StructuralPartialEq for FiniteSetEndofunctions<X>

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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<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
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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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. 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<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<Domain, Range, M, BM> BorrowedMorphism<Domain, Range, M> for BM
where Domain: Signature, Range: Signature, M: Morphism<Domain, Range>, BM: Borrow<M> + Clone + Debug + Send + Sync,

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impl<S, BS> BorrowedSet<S> for BS
where BS: Borrow<S> + Clone + Debug + Send + Sync,

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impl<S, BS> BorrowedStructure<S> for BS
where S: Signature, BS: Borrow<S> + Clone + Debug + Eq + Send + Sync,