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 { ... }
}
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).
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
, PartialEq
, and Eq
.
Because Ord
implies a stronger ordering relationship than PartialOrd
, and both Ord
and
PartialOrd
must agree, you must choose how to implement Ord
first. You can choose to
derive it, or implement it manually. If you derive it, you should derive all four traits. If you
implement it manually, you should manually implement all four traits, based on the
implementation of Ord
.
Here’s an example where you want to define the Character
comparison by health
and
experience
only, disregarding the field mana
:
use std::cmp::Ordering;
struct Character {
health: u32,
experience: u32,
mana: f32,
}
impl Ord for Character {
fn cmp(&self, other: &Self) -> Ordering {
self.experience
.cmp(&other.experience)
.then(self.health.cmp(&other.health))
}
}
impl PartialOrd for Character {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp(other))
}
}
impl PartialEq for Character {
fn eq(&self, other: &Self) -> bool {
self.health == other.health && self.experience == other.experience
}
}
impl Eq for Character {}
If all you need is to slice::sort
a type by a field value, it can be simpler to use
slice::sort_by_key
.
§Examples of incorrect Ord
implementations
use std::cmp::Ordering;
#[derive(Debug)]
struct Character {
health: f32,
}
impl Ord for Character {
fn cmp(&self, other: &Self) -> std::cmp::Ordering {
if self.health < other.health {
Ordering::Less
} else if self.health > other.health {
Ordering::Greater
} else {
Ordering::Equal
}
}
}
impl PartialOrd for Character {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp(other))
}
}
impl PartialEq for Character {
fn eq(&self, other: &Self) -> bool {
self.health == other.health
}
}
impl Eq for Character {}
let a = Character { health: 4.5 };
let b = Character { health: f32::NAN };
// Mistake: floating-point values do not form a total order and using the built-in comparison
// operands to implement `Ord` irregardless of that reality does not change it. Use
// `f32::total_cmp` if you need a total order for floating-point values.
// Reflexivity requirement of `Ord` is not given.
assert!(a == a);
assert!(b != b);
// Antisymmetry requirement of `Ord` is not given. Only one of a < c and c < a is allowed to be
// true, not both or neither.
assert_eq!((a < b) as u8 + (b < a) as u8, 0);
use std::cmp::Ordering;
#[derive(Debug)]
struct Character {
health: u32,
experience: u32,
}
impl PartialOrd for Character {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp(other))
}
}
impl Ord for Character {
fn cmp(&self, other: &Self) -> std::cmp::Ordering {
if self.health < 50 {
self.health.cmp(&other.health)
} else {
self.experience.cmp(&other.experience)
}
}
}
// For performance reasons implementing `PartialEq` this way is not the idiomatic way, but it
// ensures consistent behavior between `PartialEq`, `PartialOrd` and `Ord` in this example.
impl PartialEq for Character {
fn eq(&self, other: &Self) -> bool {
self.cmp(other) == Ordering::Equal
}
}
impl Eq for Character {}
let a = Character {
health: 3,
experience: 5,
};
let b = Character {
health: 10,
experience: 77,
};
let c = Character {
health: 143,
experience: 2,
};
// Mistake: The implementation of `Ord` compares different fields depending on the value of
// `self.health`, the resulting order is not total.
// Transitivity requirement of `Ord` is not given. If a is smaller than b and b is smaller than
// c, by transitive property a must also be smaller than c.
assert!(a < b && b < c && c < a);
// Antisymmetry requirement of `Ord` is not given. Only one of a < c and c < a is allowed to be
// true, not both or neither.
assert_eq!((a < c) as u8 + (c < a) as u8, 2);
The documentation of PartialOrd
contains further examples, for example it’s wrong for
PartialOrd
and PartialEq
to disagree.
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);
Dyn Compatibility§
This trait is not dyn compatible.
In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.
Implementors§
impl Ord for AnsiColor
impl Ord for Color
impl Ord for Edition
impl Ord for Cfg
impl Ord for CfgExpr
impl Ord for Platform
impl Ord for ValueSource
impl Ord for uniffi_bindgen::bindings::kotlin::gen_kotlin::ImportRequirement
impl Ord for uniffi_bindgen::bindings::python::gen_python::ImportRequirement
impl Ord for FfiType
impl Ord for ErrorMetadata
impl Ord for LiteralMetadata
impl Ord for uniffi_meta::Metadata
impl Ord for Radix
impl Ord for UniffiTraitMetadata
impl Ord for ExternalKind
impl Ord for ObjectImpl
impl Ord for uniffi_meta::types::Type
impl Ord for Special
impl Ord for StringifierOrInheritOrStatic
impl Ord for StringifierOrStatic
impl Ord for FloatingPointType
impl Ord for IntegerType
impl Ord for Level
impl Ord for LevelFilter
impl Ord for AsciiChar
impl Ord for Ordering
impl Ord for Infallible
impl Ord for IpAddr
impl Ord for SocketAddr
impl Ord for ErrorKind
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 Ansi256Color
impl Ord for RgbColor
impl Ord for Effects
impl Ord for Reset
impl Ord for Style
impl Ord for Utf8Path
impl Ord for Utf8PathBuf
impl Ord for PackageId
impl Ord for Arg
impl Ord for clap_builder::builder::os_str::OsStr
impl Ord for Str
impl Ord for StyledStr
impl Ord for Id
impl Ord for ArgCursor
impl Ord for MatchOptions
impl Ord for Pattern
impl Ord for Register
impl Ord for BuildMetadata
impl Ord for Prerelease
impl Ord for Version
impl Ord for ResultType
impl Ord for Field
impl Ord for EmptyBindingsConfig
impl Ord for CallbackInterfaceMetadata
impl Ord for ConstructorMetadata
impl Ord for CustomTypeMetadata
impl Ord for EnumMetadata
impl Ord for FieldMetadata
impl Ord for FnMetadata
impl Ord for FnParamMetadata
impl Ord for MethodMetadata
impl Ord for NamespaceMetadata
impl Ord for ObjectMetadata
impl Ord for RecordMetadata
impl Ord for TraitMethodMetadata
impl Ord for UdlFile
impl Ord for VariantMetadata
impl Ord for BooleanLit
impl Ord for EmptyArrayLit
impl Ord for EmptyDictionaryLit
impl Ord for Any
impl Ord for ArrayBuffer
impl Ord for ArrayBufferView
impl Ord for Assign
impl Ord for Async
impl Ord for Attribute
impl Ord for Boolean
impl Ord for BufferSource
impl Ord for Byte
impl Ord for ByteString
impl Ord for Callback
impl Ord for CloseBrace
impl Ord for CloseBracket
impl Ord for CloseParen
impl Ord for Colon
impl Ord for Comma
impl Ord for Const
impl Ord for Constructor
impl Ord for DOMString
impl Ord for DataView
impl Ord for Deleter
impl Ord for Dictionary
impl Ord for Dot
impl Ord for Double
impl Ord for Ellipsis
impl Ord for Enum
impl Ord for weedle::term::Error
impl Ord for False
impl Ord for Float32Array
impl Ord for Float64Array
impl Ord for Float
impl Ord for FrozenArray
impl Ord for Getter
impl Ord for GreaterThan
impl Ord for Implements
impl Ord for Includes
impl Ord for Infinity
impl Ord for Inherit
impl Ord for Int8Array
impl Ord for Int16Array
impl Ord for Int32Array
impl Ord for Interface
impl Ord for Iterable
impl Ord for LegacyCaller
impl Ord for LessThan
impl Ord for Long
impl Ord for Maplike
impl Ord for Minus
impl Ord for Mixin
impl Ord for NaN
impl Ord for Namespace
impl Ord for NegInfinity
impl Ord for Null
impl Ord for Object
impl Ord for Octet
impl Ord for OpenBrace
impl Ord for OpenBracket
impl Ord for OpenParen
impl Ord for Optional
impl Ord for Or
impl Ord for Partial
impl Ord for Promise
impl Ord for QMark
impl Ord for ReadOnly
impl Ord for Record
impl Ord for Required
impl Ord for SemiColon
impl Ord for Sequence
impl Ord for Setlike
impl Ord for Setter
impl Ord for Short
impl Ord for Static
impl Ord for Stringifier
impl Ord for Symbol
impl Ord for True
impl Ord for Typedef
impl Ord for USVString
impl Ord for Uint8Array
impl Ord for Uint8ClampedArray
impl Ord for Uint16Array
impl Ord for Uint32Array
impl Ord for Undefined
impl Ord for Unrestricted
impl Ord for Unsigned
impl Ord for DoubleType
impl Ord for FloatType
impl Ord for LongLongType
impl Ord for LongType
impl Ord for ShortType
impl Ord for Bytes
impl Ord for BytesMut
impl Ord for TypeId
impl Ord for CpuidResult
impl Ord for CStr
impl Ord for uniffi::deps::static_assertions::_core::fmt::Error
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 Duration
impl Ord for CString
impl Ord for String
impl Ord for std::ffi::os_str::OsStr
impl Ord for OsString
impl Ord for Components<'_>
impl Ord for Path
impl Ord for PathBuf
impl Ord for PrefixComponent<'_>
impl Ord for Instant
impl Ord for SystemTime
impl<'a> Ord for Utf8Component<'a>
impl<'a> Ord for Utf8Prefix<'a>
impl<'a> Ord for Argument<'a>
impl<'a> Ord for ExtendedAttribute<'a>
impl<'a> Ord for IdentifierOrString<'a>
impl<'a> Ord for Definition<'a>
impl<'a> Ord for AsyncIterableInterfaceMember<'a>
impl<'a> Ord for InterfaceMember<'a>
impl<'a> Ord for IterableInterfaceMember<'a>
impl<'a> Ord for ConstValue<'a>
impl<'a> Ord for DefaultValue<'a>
impl<'a> Ord for FloatLit<'a>
impl<'a> Ord for IntegerLit<'a>
impl<'a> Ord for MixinMember<'a>
impl<'a> Ord for NamespaceMember<'a>
impl<'a> Ord for ConstType<'a>
impl<'a> Ord for NonAnyType<'a>
impl<'a> Ord for RecordKeyType<'a>
impl<'a> Ord for ReturnType<'a>
impl<'a> Ord for SingleType<'a>
impl<'a> Ord for weedle::types::Type<'a>
impl<'a> Ord for UnionMemberType<'a>
impl<'a> Ord for Component<'a>
impl<'a> Ord for Prefix<'a>
impl<'a> Ord for Utf8Components<'a>
impl<'a> Ord for Utf8PrefixComponent<'a>
impl<'a> Ord for SingleArgument<'a>
impl<'a> Ord for VariadicArgument<'a>
impl<'a> Ord for ExtendedAttributeArgList<'a>
impl<'a> Ord for ExtendedAttributeIdent<'a>
impl<'a> Ord for ExtendedAttributeIdentList<'a>
impl<'a> Ord for ExtendedAttributeNamedArgList<'a>
impl<'a> Ord for ExtendedAttributeNoArgs<'a>
impl<'a> Ord for Default<'a>
impl<'a> Ord for Identifier<'a>
impl<'a> Ord for DictionaryMember<'a>
impl<'a> Ord for AttributeInterfaceMember<'a>
impl<'a> Ord for ConstMember<'a>
impl<'a> Ord for ConstructorInterfaceMember<'a>
impl<'a> Ord for DoubleTypedAsyncIterable<'a>
impl<'a> Ord for DoubleTypedIterable<'a>
impl<'a> Ord for Inheritance<'a>
impl<'a> Ord for MaplikeInterfaceMember<'a>
impl<'a> Ord for OperationInterfaceMember<'a>
impl<'a> Ord for SetlikeInterfaceMember<'a>
impl<'a> Ord for SingleTypedAsyncIterable<'a>
impl<'a> Ord for SingleTypedIterable<'a>
impl<'a> Ord for StringifierMember<'a>
impl<'a> Ord for DecLit<'a>
impl<'a> Ord for FloatValueLit<'a>
impl<'a> Ord for HexLit<'a>
impl<'a> Ord for OctLit<'a>
impl<'a> Ord for StringLit<'a>
impl<'a> Ord for AttributeMixinMember<'a>
impl<'a> Ord for OperationMixinMember<'a>
impl<'a> Ord for AttributeNamespaceMember<'a>
impl<'a> Ord for OperationNamespaceMember<'a>
impl<'a> Ord for CallbackDefinition<'a>
impl<'a> Ord for CallbackInterfaceDefinition<'a>
impl<'a> Ord for DictionaryDefinition<'a>
impl<'a> Ord for EnumDefinition<'a>
impl<'a> Ord for ImplementsDefinition<'a>
impl<'a> Ord for IncludesStatementDefinition<'a>
impl<'a> Ord for InterfaceDefinition<'a>
impl<'a> Ord for InterfaceMixinDefinition<'a>
impl<'a> Ord for NamespaceDefinition<'a>
impl<'a> Ord for PartialDictionaryDefinition<'a>
impl<'a> Ord for PartialInterfaceDefinition<'a>
impl<'a> Ord for PartialInterfaceMixinDefinition<'a>
impl<'a> Ord for PartialNamespaceDefinition<'a>
impl<'a> Ord for TypedefDefinition<'a>
impl<'a> Ord for AttributedNonAnyType<'a>
impl<'a> Ord for AttributedType<'a>
impl<'a> Ord for FrozenArrayType<'a>
impl<'a> Ord for PromiseType<'a>
impl<'a> Ord for RecordType<'a>
impl<'a> Ord for SequenceType<'a>
impl<'a> Ord for uniffi::deps::log::Metadata<'a>
impl<'a> Ord for MetadataBuilder<'a>
impl<'a> Ord for Location<'a>
impl<'s> Ord for ParsedArg<'s>
impl<A> Ord for &A
impl<A> Ord for &mut A
impl<B> Ord for Cow<'_, B>
impl<Dyn> Ord for DynMetadata<Dyn>where
Dyn: ?Sized,
impl<F> Ord for Fwhere
F: FnPtr,
impl<K, V, A> Ord for BTreeMap<K, V, A>
impl<Ptr> Ord for Pin<Ptr>
impl<T> Ord for Resettable<T>where
T: 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 Spanned<T>where
T: Ord,
impl<T> Ord for Braced<T>where
T: Ord,
impl<T> Ord for Bracketed<T>where
T: Ord,
impl<T> Ord for Generics<T>where
T: Ord,
impl<T> Ord for Parenthesized<T>where
T: Ord,
impl<T> Ord for MayBeNull<T>where
T: Ord,
impl<T> Ord for Cell<T>
impl<T> Ord for RefCell<T>
impl<T> Ord for Reverse<T>where
T: Ord,
impl<T> Ord for PhantomData<T>where
T: ?Sized,
impl<T> Ord for ManuallyDrop<T>
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, A> Ord for 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 Rc<T, A>
impl<T, A> Ord for UniqueRc<T, A>
impl<T, A> Ord for Arc<T, A>
impl<T, A> Ord for Vec<T, A>
Implements ordering of vectors, lexicographically.
impl<T, E> Ord for Result<T, E>
impl<T, S> Ord for Punctuated<T, S>
impl<T, S> Ord for PunctuatedNonEmpty<T, S>
impl<T, const N: usize> Ord for [T; N]where
T: Ord,
Implements comparison of arrays lexicographically.