Trait alga::general::Lattice

pub trait Lattice: MeetSemilattice + JoinSemilattice + PartialOrd {
    fn meet_join(&self, other: &Self) -> (Self, Self) { ... }
    fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self> { ... }
    fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self> { ... }
    fn partial_sort2<'a>(
        &'a self, 
        other: &'a Self
    ) -> Option<(&'a Self, &'a Self)> { ... }
    fn partial_clamp<'a>(
        &'a self, 
        min: &'a Self, 
        max: &'a Self
    ) -> Option<&'a Self> { ... }
}

Partially orderable sets where every two elements have a suppremum and infimum.

Provided Methods

fn meet_join(&self, other: &Self) -> (Self, Self)

Returns the infimum and the supremum simultaneously.

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

Return the minimum of self and other if they are comparable.

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

Return the maximum of self and other if they are comparable.

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

Sorts two values in increasing order using a partial ordering.

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

Clamp value between min and max. Returns None if value is not comparable to min or max.

Implementations on Foreign Types

impl Lattice for u8

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for u16

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for u32

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for u64

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for usize

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for i8

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for i16

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for i32

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for i64

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for isize

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for f32

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

impl Lattice for f64

fn meet_join(&self, other: &Self) -> (Self, Self)

fn partial_min<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_max<'a>(&'a self, other: &'a Self) -> Option<&'a Self>

fn partial_sort2<'a>(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

fn partial_clamp<'a>(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

Implementors

• impl<O: Operator> Lattice for Id<O>