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ContinuousMap

alice::topology::maps

Struct ContinuousMap 

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pub struct ContinuousMap<X, Y>
where
    X: TopologicalSpace,
    Y: TopologicalSpace,
{ /* private fields */ }

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impl<X, Y> ContinuousMap<X, Y>
where X: TopologicalSpace, Y: TopologicalSpace,

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pub fn new<F>(f: F) -> Self
where F: Fn(&X::Point) -> Y::Point + Send + Sync + 'static,

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pub fn apply(&self, p: &X::Point) -> Y::Point

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pub fn preimage( &self, domain_points: &BTreeSet<X::Point>, open_set: &BTreeSet<Y::Point>, ) -> BTreeSet<X::Point>
where X::Point: Ord, Y::Point: Ord,

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pub fn is_continuous_on( &self, domain: &X, codomain: &Y, domain_points: &BTreeSet<X::Point>, ) -> bool
where X::Point: Ord, Y::Point: Ord, Y: OpenSetsIter,

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Auto Trait Implementations§

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impl<X, Y> !RefUnwindSafe for ContinuousMap<X, Y>

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impl<X, Y> !UnwindSafe for ContinuousMap<X, Y>

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impl<X, Y> Freeze for ContinuousMap<X, Y>

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impl<X, Y> Send for ContinuousMap<X, Y>

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impl<X, Y> Sync for ContinuousMap<X, Y>

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impl<X, Y> Unpin for ContinuousMap<X, Y>

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impl<X, Y> UnsafeUnpin for ContinuousMap<X, Y>

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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> ByRef<T> for T

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fn by_ref(&self) -> &T

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impl<F, G> Composable<G> for F
where F: Morphism, G: Morphism<Codomain = <F as Morphism>::Domain>,

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type Composed = ComposedMorphism<F, G>

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fn compose(self, other: G) -> <F as Composable<G>>::Composed

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impl<T> DistributionExt for T
where T: ?Sized,

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fn rand<T>(&self, rng: &mut (impl Rng + ?Sized)) -> T
where Self: Distribution<T>,

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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> Imply<T> for U
where T: ?Sized, U: ?Sized,

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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> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. 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