catlog::zero::column

Struct Function

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pub struct Function<'a, Map, Dom, Cod>(pub &'a Map, pub &'a Dom, pub &'a Cod);
Expand description

A function between sets defined by a mapping.

This struct borrows its data, and exists mainly as a convenient interface to validate that a mapping defines a valid function.

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§0: &'a Map§1: &'a Dom§2: &'a Cod

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impl<'a, Map, Dom, Cod> Function<'a, Map, Dom, Cod>
where Map: Mapping, Dom: FinSet<Elem = Map::Dom>, Cod: Set<Elem = Map::Cod>,

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pub fn iter_invalid( &self, ) -> impl Iterator<Item = InvalidFunction<Map::Dom>> + 'a + use<'a, Map, Dom, Cod>

Iterates over failures to be a function.

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impl<Map, Dom, Cod> Validate for Function<'_, Map, Dom, Cod>
where Map: Mapping, Dom: FinSet<Elem = Map::Dom>, Cod: Set<Elem = Map::Cod>,

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type ValidationError = InvalidFunction<<Map as Mapping>::Dom>

The type of a validation error. Read more
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fn validate(&self) -> Result<(), NonEmpty<Self::ValidationError>>

Validates the object.

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impl<'a, Map, Dom, Cod> Freeze for Function<'a, Map, Dom, Cod>

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impl<'a, Map, Dom, Cod> RefUnwindSafe for Function<'a, Map, Dom, Cod>
where Map: RefUnwindSafe, Dom: RefUnwindSafe, Cod: RefUnwindSafe,

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impl<'a, Map, Dom, Cod> Send for Function<'a, Map, Dom, Cod>
where Map: Sync, Dom: Sync, Cod: Sync,

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impl<'a, Map, Dom, Cod> Sync for Function<'a, Map, Dom, Cod>
where Map: Sync, Dom: Sync, Cod: Sync,

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impl<'a, Map, Dom, Cod> Unpin for Function<'a, Map, Dom, Cod>

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impl<'a, Map, Dom, Cod> UnwindSafe for Function<'a, Map, Dom, Cod>
where Map: RefUnwindSafe, Dom: RefUnwindSafe, Cod: RefUnwindSafe,

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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> 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> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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.