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Interval

Struct Interval 

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pub struct Interval<T> {
    pub lower: Bound<T>,
    pub upper: Bound<T>,
}
Expand description

A mathematical interval described by a lower and upper bound.

Intervals may be open, closed, half-open, or unbounded on either side.

§Examples

use use_interval::{Bound, Interval};

let closed = Interval::closed(1.0, 3.0);
let half_open = Interval::new(Bound::Closed(0.0), Bound::Open(1.0));

assert!(closed.contains(2.0));
assert!(half_open.contains(0.5));

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§lower: Bound<T>

The lower endpoint rule.

§upper: Bound<T>

The upper endpoint rule.

Implementations§

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impl<T> Interval<T>

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pub const fn new(lower: Bound<T>, upper: Bound<T>) -> Self

Creates an interval from explicit lower and upper bounds.

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pub const fn open(lower: T, upper: T) -> Self

Creates an open interval (lower, upper).

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pub const fn closed(lower: T, upper: T) -> Self

Creates a closed interval [lower, upper].

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pub const fn open_closed(lower: T, upper: T) -> Self

Creates a half-open interval (lower, upper].

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pub const fn closed_open(lower: T, upper: T) -> Self

Creates a half-open interval [lower, upper).

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pub const fn greater_than(lower: T) -> Self

Creates the interval (lower, +inf).

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pub const fn greater_than_or_equal(lower: T) -> Self

Creates the interval [lower, +inf).

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pub const fn less_than(upper: T) -> Self

Creates the interval (-inf, upper).

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pub const fn less_than_or_equal(upper: T) -> Self

Creates the interval (-inf, upper].

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pub const fn unbounded() -> Self

Creates the interval (-inf, +inf).

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impl<T: PartialOrd + Copy> Interval<T>

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pub fn contains(&self, value: T) -> bool

Returns true when value lies inside the interval.

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pub fn is_empty(&self) -> bool

Returns true when the interval contains no values.

(a, a), (a, a], and [a, a) are empty. [a, a] is not empty.

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pub fn is_bounded(&self) -> bool

Returns true when the interval has both lower and upper bounds.

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pub fn has_lower_bound(&self) -> bool

Returns true when the interval has a lower bound.

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pub fn has_upper_bound(&self) -> bool

Returns true when the interval has an upper bound.

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

Returns true when the interval and other share at least one value.

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

Returns the intersection with other, or None when it is empty.

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impl Interval<f64>

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pub fn length(&self) -> Option<f64>

Returns the bounded interval length.

Returns None for unbounded intervals. Empty bounded intervals have length 0.0.

Trait Implementations§

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impl<T: Clone> Clone for Interval<T>

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fn clone(&self) -> Interval<T>

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<T: Debug> Debug for Interval<T>

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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<T: PartialEq> PartialEq for Interval<T>

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fn eq(&self, other: &Interval<T>) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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<T: Copy> Copy for Interval<T>

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impl<T> StructuralPartialEq for Interval<T>

Auto Trait Implementations§

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impl<T> Freeze for Interval<T>
where T: Freeze,

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impl<T> RefUnwindSafe for Interval<T>
where T: RefUnwindSafe,

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impl<T> Send for Interval<T>
where T: Send,

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impl<T> Sync for Interval<T>
where T: Sync,

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impl<T> Unpin for Interval<T>
where T: Unpin,

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impl<T> UnsafeUnpin for Interval<T>
where T: UnsafeUnpin,

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impl<T> UnwindSafe for Interval<T>
where T: UnwindSafe,

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> 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.