Trait radix_common::prelude::rust::cmp::Ord

1.0.0 · source ·

pub trait Ord: Eq + PartialOrd {
    // Required method
    fn cmp(&self, other: &Self) -> Ordering;

    // Provided methods
    fn max(self, other: Self) -> Self
       where Self: Sized { ... }
    fn min(self, other: Self) -> Self
       where Self: Sized { ... }
    fn clamp(self, min: Self, max: Self) -> Self
       where Self: Sized + PartialOrd { ... }
}

Expand description

Trait for types that form a total order.

Implementations must be consistent with the PartialOrd implementation, and ensure max, min, and clamp are consistent with cmp:

partial_cmp(a, b) == Some(cmp(a, b)).
max(a, b) == max_by(a, b, cmp) (ensured by the default implementation).
min(a, b) == min_by(a, b, cmp) (ensured by the default implementation).
For a.clamp(min, max), see the method docs (ensured by the default implementation).

It’s easy to accidentally make cmp and partial_cmp disagree by deriving some of the traits and manually implementing others.

Violating these requirements is a logic error. The behavior resulting from a logic error is not specified, but users of the trait must ensure that such logic errors do not result in undefined behavior. This means that unsafe code must not rely on the correctness of these methods.

§Corollaries

From the above and the requirements of PartialOrd, it follows that for all a, b and c:

exactly one of a < b, a == b or a > b is true; and
< is transitive: a < b and b < c implies a < c. The same must hold for both == and >.

Mathematically speaking, the < operator defines a strict weak order. In cases where == conforms to mathematical equality, it also defines a strict total order.

§Derivable

This trait can be used with #[derive].

When derived on structs, it will produce a lexicographic ordering based on the top-to-bottom declaration order of the struct’s members.

When derived on enums, variants are ordered primarily by their discriminants. Secondarily, they are ordered by their fields. By default, the discriminant is smallest for variants at the top, and largest for variants at the bottom. Here’s an example:

#[derive(PartialEq, Eq, PartialOrd, Ord)]
enum E {
    Top,
    Bottom,
}

assert!(E::Top < E::Bottom);

However, manually setting the discriminants can override this default behavior:

#[derive(PartialEq, Eq, PartialOrd, Ord)]
enum E {
    Top = 2,
    Bottom = 1,
}

assert!(E::Bottom < E::Top);

§Lexicographical comparison

Lexicographical comparison is an operation with the following properties:

Two sequences are compared element by element.
The first mismatching element defines which sequence is lexicographically less or greater than the other.
If one sequence is a prefix of another, the shorter sequence is lexicographically less than the other.
If two sequences have equivalent elements and are of the same length, then the sequences are lexicographically equal.
An empty sequence is lexicographically less than any non-empty sequence.
Two empty sequences are lexicographically equal.

§How can I implement `Ord`?

Ord requires that the type also be PartialOrd and Eq (which requires PartialEq).

Then you must define an implementation for cmp. You may find it useful to use cmp on your type’s fields.

Here’s an example where you want to sort people by height only, disregarding id and name:

use std::cmp::Ordering;

#[derive(Eq)]
struct Person {
    id: u32,
    name: String,
    height: u32,
}

impl Ord for Person {
    fn cmp(&self, other: &Self) -> Ordering {
        self.height.cmp(&other.height)
    }
}

impl PartialOrd for Person {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(self.cmp(other))
    }
}

impl PartialEq for Person {
    fn eq(&self, other: &Self) -> bool {
        self.height == other.height
    }
}

Required Methods§

1.0.0 · source

fn cmp(&self, other: &Self) -> Ordering

This method returns an Ordering between self and other.

By convention, self.cmp(&other) returns the ordering matching the expression self <operator> other if true.

§Examples

use std::cmp::Ordering;

assert_eq!(5.cmp(&10), Ordering::Less);
assert_eq!(10.cmp(&5), Ordering::Greater);
assert_eq!(5.cmp(&5), Ordering::Equal);

Provided Methods§

1.21.0 · source

fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values.

Returns the second argument if the comparison determines them to be equal.

§Examples

assert_eq!(1.max(2), 2);
assert_eq!(2.max(2), 2);

1.21.0 · source

fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values.

Returns the first argument if the comparison determines them to be equal.

§Examples

assert_eq!(1.min(2), 1);
assert_eq!(2.min(2), 2);

1.50.0 · source

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

Restrict a value to a certain interval.

Returns max if self is greater than max, and min if self is less than min. Otherwise this returns self.

§Panics

Panics if min > max.

§Examples

assert_eq!((-3).clamp(-2, 1), -2);
assert_eq!(0.clamp(-2, 1), 0);
assert_eq!(2.clamp(-2, 1), 1);

Object Safety§

This trait is not object safe.

Trait radix_common::prelude::rust::cmp::OrdCopy item path

§Corollaries

§Derivable

§Lexicographical comparison

§How can I implement Ord?

Required Methods§

fn cmp(&self, other: &Self) -> Ordering

§Examples

Provided Methods§

fn max(self, other: Self) -> Selfwhere Self: Sized,

§Examples

fn min(self, other: Self) -> Selfwhere Self: Sized,

§Examples

fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd,

§Panics

§Examples

Object Safety§

Implementors§

impl Ord for ManifestAddress

impl Ord for NonFungibleIdType

impl Ord for NonFungibleLocalId

impl Ord for EntityType

impl Ord for SubstateKey

impl Ord for Infallible

impl Ord for Ordering

impl Ord for AsciiChar

impl Ord for IpAddr

impl Ord for SocketAddr

impl Ord for ErrorKind

impl Ord for bech32::Error

impl Ord for Variant

impl Ord for BigEndian

impl Ord for LittleEndian

impl Ord for Sign

impl Ord for bool

impl Ord for char

impl Ord for i8

impl Ord for i16

impl Ord for i32

impl Ord for i64

impl Ord for i128

impl Ord for isize

impl Ord for !

impl Ord for str

impl Ord for u8

impl Ord for u16

impl Ord for u32

impl Ord for u64

impl Ord for u128

impl Ord for ()

impl Ord for usize

impl Ord for Bls12381G1PublicKey

impl Ord for Bls12381G2Signature

impl Ord for Ed25519PublicKey

impl Ord for Hash

impl Ord for Secp256k1PublicKey

impl Ord for ManifestProof

impl Ord for BytesNonFungibleLocalId

impl Ord for IntegerNonFungibleLocalId

impl Ord for RUIDNonFungibleLocalId

impl Ord for Reference

impl Ord for StringNonFungibleLocalId

impl Ord for I192

impl Ord for I256

impl Ord for I320

impl Ord for I384

impl Ord for I448

impl Ord for I512

impl Ord for I768

impl Ord for U192

impl Ord for U256

impl Ord for U320

impl Ord for U384

impl Ord for U448

impl Ord for U512

impl Ord for U768

impl Ord for Decimal

impl Ord for PreciseDecimal

impl Ord for radix_common::time::instant::Instant

impl Ord for UtcDateTime

Trait radix_common::prelude::rust::cmp::Ord

§How can I implement `Ord`?

fn max(self, other: Self) -> Self
where Self: Sized,

fn min(self, other: Self) -> Self
where Self: Sized,

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

impl<A> Ord for &A
where A: Ord + ?Sized,

impl<A> Ord for &mut A
where A: Ord + ?Sized,

impl<B> Ord for Cow<'_, B>
where B: Ord + ToOwned + ?Sized,

impl<Dyn> Ord for DynMetadata<Dyn>
where Dyn: ?Sized,

impl<F> Ord for F
where F: FnPtr,

impl<K, V> Ord for radix_common::prelude::rust::prelude::index_map::indexmap::map::Slice<K, V>
where K: Ord, V: Ord,

impl<K, V, A> Ord for BTreeMap<K, V, A>
where K: Ord, V: Ord, A: Allocator + Clone,

impl<Ptr> Ord for Pin<Ptr>
where Ptr: Deref, <Ptr as Deref>::Target: Ord,

impl<T> Ord for Option<T>
where T: Ord,

impl<T> Ord for Poll<T>
where T: Ord,

impl<T> Ord for *const T
where T: ?Sized,

impl<T> Ord for *mut T
where T: ?Sized,

impl<T> Ord for [T]
where T: Ord,

impl<T> Ord for (T₁, T₂, …, Tₙ)
where T: Ord + ?Sized,

impl<T> Ord for Cell<T>
where T: Ord + Copy,

impl<T> Ord for PhantomData<T>
where T: ?Sized,