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 { ... }
}
mtls
only.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
ora > b
is true; and <
is transitive:a < b
andb < c
impliesa < 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 derive
d on structs, it will produce a
lexicographic ordering
based on the top-to-bottom declaration order of the struct’s members.
When derive
d 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 · sourcefn cmp(&self, other: &Self) -> Ordering
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 · sourcefn max(self, other: Self) -> Selfwhere
Self: Sized,
fn max(self, other: Self) -> Selfwhere
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 · sourcefn min(self, other: Self) -> Selfwhere
Self: Sized,
fn min(self, other: Self) -> Selfwhere
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 · sourcefn clamp(self, min: Self, max: Self) -> Selfwhere
Self: Sized + PartialOrd,
fn clamp(self, min: Self, max: Self) -> Selfwhere
Self: Sized + PartialOrd,
Object Safety§
Implementors§
impl Ord for Sign
impl Ord for ASN1TimeZone
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 BigEndian
impl Ord for LittleEndian
impl Ord for const_oid::error::Error
impl Ord for InlinableString
impl Ord for log::Level
impl Ord for log::LevelFilter
impl Ord for Direction
impl Ord for Offset
impl Ord for Attribute
impl Ord for Quirk
impl Ord for Color
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
Implements ordering of strings.
Strings are ordered lexicographically by their byte values. This orders Unicode code
points based on their positions in the code charts. This is not necessarily the same as
“alphabetical” order, which varies by language and locale. Sorting strings according to
culturally-accepted standards requires locale-specific data that is outside the scope of
the str
type.
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 ByteUnit
impl Ord for RawStr
impl Ord for RawStrBuf
impl Ord for Status
impl Ord for Uncased<'_>
impl Ord for UncasedStr
impl Ord for Braced
impl Ord for Hyphenated
impl Ord for Simple
impl Ord for Urn
impl Ord for Uuid
impl Ord for BigInt
impl Ord for BigUint
impl Ord for ASN1Time
impl Ord for ASN1DateTime
impl Ord for GeneralizedTime
impl Ord for UtcTime
impl Ord for rocket::mtls::oid::asn1_rs::nom::lib::std::fmt::Error
impl Ord for String
impl Ord for CString
impl Ord for TypeId
impl Ord for CpuidResult
impl Ord for CStr
impl Ord for PhantomPinned
impl Ord for Ipv4Addr
impl Ord for Ipv6Addr
impl Ord for SocketAddrV4
impl Ord for SocketAddrV6
impl Ord for Alignment
impl Ord for core::time::Duration
impl Ord for OsStr
impl Ord for OsString
impl Ord for Components<'_>
impl Ord for Path
impl Ord for PathBuf
impl Ord for PrefixComponent<'_>
impl Ord for std::time::Instant
impl Ord for SystemTime
impl Ord for aead::Error
impl Ord for bytes::bytes::Bytes
impl Ord for BytesMut
impl Ord for ObjectIdentifier
impl Ord for Profile
impl Ord for Tag
impl Ord for http::header::value::HeaderValue
impl Ord for http::status::StatusCode
impl Ord for http::version::Version
impl Ord for http::header::value::HeaderValue
impl Ord for http::status::StatusCode
impl Ord for http::version::Version
impl Ord for HttpDate
impl Ord for ReasonPhrase
impl Ord for Mime
impl Ord for Interest
impl Ord for Token
impl Ord for ByteBuf
impl Ord for Opcode
impl Ord for Certificate
impl Ord for SigId
impl Ord for time::date::Date
impl Ord for time::duration::Duration
impl Ord for time::instant::Instant
impl Ord for OffsetDateTime
impl Ord for PrimitiveDateTime
impl Ord for time::time::Time
impl Ord for UtcOffset
impl Ord for AnyDelimiterCodec
impl Ord for BytesCodec
impl Ord for LinesCodec
impl Ord for Ready
impl Ord for tokio::time::instant::Instant
impl Ord for toml_datetime::datetime::Date
impl Ord for Datetime
impl Ord for toml_datetime::datetime::Time
impl Ord for InternalString
impl Ord for Key
impl Ord for tracing_core::metadata::Level
impl Ord for tracing_core::metadata::LevelFilter
impl Ord for ATerm
impl Ord for B0
impl Ord for B1
impl Ord for Z0
impl Ord for Equal
impl Ord for Greater
impl Ord for Less
impl Ord for UTerm
impl Ord for BStr
impl Ord for winnow::stream::Bytes
impl Ord for Condition
impl Ord for Style
impl<'a> Ord for Component<'a>
impl<'a> Ord for Prefix<'a>
impl<'a> Ord for Location<'a>
impl<'a> Ord for Metadata<'a>
impl<'a> Ord for MetadataBuilder<'a>
impl<'a> Ord for Name<'a>
impl<'a> Ord for rmp::decode::bytes::Bytes<'a>
impl<'k> Ord for KeyMut<'k>
impl<A> Ord for &A
impl<A> Ord for &mut A
impl<A> Ord for SmallVec<A>
impl<A, B> Ord for figment::value::magic::Either<A, B>
impl<B> Ord for Cow<'_, B>
impl<Dyn> Ord for DynMetadata<Dyn>where
Dyn: ?Sized,
impl<F> Ord for Fwhere
F: FnPtr,
impl<I> Ord for Located<I>where
I: Ord,
impl<I> Ord for Partial<I>where
I: Ord,
impl<K, V> Ord for indexmap::map::slice::Slice<K, V>
impl<K, V, A> Ord for BTreeMap<K, V, A>
impl<L, R> Ord for either::Either<L, R>
impl<Ptr> Ord for Pin<Ptr>
impl<S: Ord, E: Ord, F: Ord> Ord for Outcome<S, E, F>
impl<Storage> Ord for __BindgenBitfieldUnit<Storage>where
Storage: Ord,
impl<T> Ord for Option<T>where
T: Ord,
impl<T> Ord for Poll<T>where
T: Ord,
impl<T> Ord for *const Twhere
T: ?Sized,
impl<T> Ord for *mut Twhere
T: ?Sized,
impl<T> Ord for [T]where
T: Ord,
Implements comparison of slices lexicographically.
impl<T> Ord for (T₁, T₂, …, Tₙ)
This trait is implemented for tuples up to twelve items long.
impl<T> Ord for ManuallyDrop<T>
impl<T> Ord for Cell<T>
impl<T> Ord for RefCell<T>
impl<T> Ord for PhantomData<T>where
T: ?Sized,
impl<T> Ord for NonZero<T>where
T: ZeroablePrimitive + Ord,
impl<T> Ord for Saturating<T>where
T: Ord,
impl<T> Ord for Wrapping<T>where
T: Ord,
impl<T> Ord for NonNull<T>where
T: ?Sized,
impl<T> Ord for AllowStdIo<T>where
T: Ord,
impl<T> Ord for indexmap::set::slice::Slice<T>where
T: Ord,
impl<T> Ord for Spanned<T>where
T: Ord,
impl<T> Ord for Unalign<T>
impl<T> Ord for Reverse<T>where
T: Ord,
impl<T, A> Ord for rocket::mtls::oid::asn1_rs::nom::lib::std::boxed::Box<T, A>
impl<T, A> Ord for BTreeSet<T, A>
impl<T, A> Ord for LinkedList<T, A>
impl<T, A> Ord for VecDeque<T, A>
impl<T, A> Ord for rocket::mtls::oid::asn1_rs::nom::lib::std::vec::Vec<T, A>
Implements ordering of vectors, lexicographically.
impl<T, A> Ord for Rc<T, A>
impl<T, A> Ord for Arc<T, A>
impl<T, A> Ord for allocator_api2::stable::boxed::Box<T, A>
impl<T, A> Ord for allocator_api2::stable::vec::Vec<T, A>
Implements ordering of vectors, lexicographically.
impl<T, B> Ord for Ref<B, [T]>
impl<T, B> Ord for Ref<B, T>
impl<T, E> Ord for Result<T, E>
impl<T, N> Ord for GenericArray<T, N>where
T: Ord,
N: ArrayLength<T>,
impl<T, S> Ord for Checkpoint<T, S>where
T: Ord,
impl<T, const N: usize> Ord for [T; N]where
T: Ord,
Implements comparison of arrays lexicographically.
impl<T, const N: usize> Ord for Simd<T, N>
impl<T: Ord + Send + Sync + 'static> Ord for State<T>
impl<T: Ord> Ord for Form<T>
impl<T: Ord> Ord for Lenient<T>
impl<T: Ord> Ord for Strict<T>
impl<T: Ord> Ord for Json<T>
json
only.impl<T: Ord> Ord for MsgPack<T>
msgpack
only.