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ScottOpen

Struct ScottOpen 

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pub struct ScottOpen {
    pub domain_size: usize,
    pub elements: Vec<usize>,
}
Expand description

A Scott-open set on a finite flat domain {bottom=0, 1, …, domain_size-1}.

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§domain_size: usize

Total domain size (bottom at index 0).

§elements: Vec<usize>

Elements in the open set (sorted, all > 0).

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impl ScottOpen

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pub fn new(domain_size: usize, elems: impl IntoIterator<Item = usize>) -> Self

Create a Scott-open set (bottom is automatically excluded).

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pub fn top(domain_size: usize) -> Self

The whole domain minus bottom is Scott-open.

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pub fn empty(domain_size: usize) -> Self

The empty set is Scott-open.

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pub fn contains(&self, x: usize) -> bool

Test membership.

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pub fn union(&self, other: &Self) -> Self

Union (stays Scott-open).

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pub fn intersection(&self, other: &Self) -> Self

Intersection (stays Scott-open).

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pub fn is_scott_open(&self) -> bool

Verify Scott-openness: bottom must not be in the set.

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pub fn characteristic(&self, x: usize) -> bool

Characteristic membership function.

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impl Clone for ScottOpen

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fn clone(&self) -> ScottOpen

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 Debug for ScottOpen

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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 PartialEq for ScottOpen

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fn eq(&self, other: &ScottOpen) -> 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 Eq for ScottOpen

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impl StructuralPartialEq for ScottOpen

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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> 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<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> Setoid for T
where T: PartialEq,

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fn equiv(&self, other: &T) -> bool

The equivalence relation.
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fn refl(&self) -> bool

Reflexivity of the equivalence.
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fn symm(&self, other: &Self) -> bool

Symmetry: if self ~ other then other ~ self.
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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.