Struct AVDCComputad

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pub struct AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> { /* private fields */ }
Expand description

An augmented virtual double computad.

The set of objects and the graphs of arrows and proarrows are assumed already constructed, possibly from other generating data, while the top-dimensional generating data is provided directly.

We say “augmented” because the generating squares have co-arity zero or one, like the cells in an augmented VDC (Koudenburg 2020), though we use such computads to generate unital VDCs.

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>

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pub const fn new( objects: &'a ObSet, arrows: &'a ArrGraph, proarrows: &'a ProGraph, computad: &'a AVDCComputadTop<Ob, Arr, Pro, Sq, S>, ) -> AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>
where Ob: Eq + Clone, Arr: Eq + Clone, Pro: Eq + Clone, Sq: Eq + Clone + Hash, ArrGraph: Graph<V = Ob, E = Arr>, ProGraph: Graph<V = Ob, E = Pro>, S: BuildHasher,

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pub fn iter_invalid<E, ProE>( &self, ) -> impl Iterator<Item = InvalidVDblGraph<E, ProE, Sq>>

Iterates over failures to be a valid virtual double graph.

Note that this method assumes that the graphs of objects and (pro)arrows are already valid. If that is in question, validate them first.

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> VDblGraph for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>
where Ob: Eq + Clone, Arr: Eq + Clone, Pro: Eq + Clone, Sq: Eq + Clone + Hash, ObSet: Set<Elem = Ob>, ArrGraph: Graph<V = Ob, E = Arr>, ProGraph: ReflexiveGraph<V = Ob, E = Pro>, S: BuildHasher,

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type V = Ob

Type of vertices.
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type E = Arr

Type of edges, in tight direction.
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type ProE = Pro

Type of “pro-edges”, or edges in the loose direction.
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type Sq = Sq

Type of squares with multi-ary domain.
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fn has_vertex(&self, v: &Self::V) -> bool

Does the vertex belong to the double graph?
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fn has_edge(&self, e: &Self::E) -> bool

Does the edge belong to the double graph?
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fn has_proedge(&self, p: &Self::ProE) -> bool

Does the proedge belong to the double graph?
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fn has_square(&self, sq: &Self::Sq) -> bool

Does the square belong to the double graph?
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fn dom(&self, e: &Self::E) -> Self::V

Gets the domain of an edge.
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fn cod(&self, e: &Self::E) -> Self::V

Gets the codomain of an edge.
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fn src(&self, p: &Self::ProE) -> Self::V

Gets the source of a proedge.
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fn tgt(&self, p: &Self::ProE) -> Self::V

Gets the target of a proedge.
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fn square_dom(&self, sq: &Self::Sq) -> Path<Self::V, Self::ProE>

Gets the domain of a square, a path of proedges.
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fn square_cod(&self, sq: &Self::Sq) -> Self::ProE

Gets the codomain of a square, a single proedge.
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fn square_src(&self, sq: &Self::Sq) -> Self::E

Gets the source of a square, an edge.
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fn square_tgt(&self, sq: &Self::Sq) -> Self::E

Gets the target of a square, an edge.
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fn arity(&self, sq: &Self::Sq) -> usize

Gets the arity of a square. Read more

Auto Trait Implementations§

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> Freeze for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> RefUnwindSafe for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> Send for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>
where ObSet: Sync, ArrGraph: Sync, ProGraph: Sync, S: Sync, Sq: Sync, Arr: Sync, Ob: Sync, Pro: Sync,

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> Sync for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>
where ObSet: Sync, ArrGraph: Sync, ProGraph: Sync, S: Sync, Sq: Sync, Arr: Sync, Ob: Sync, Pro: Sync,

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> Unpin for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>

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impl<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S> UnwindSafe for AVDCComputad<'a, Ob, Arr, Pro, ObSet, ArrGraph, ProGraph, Sq, S>

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> 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.