x.eq(y) can also be written x == y, and x.ne(y) can be written x != y. We use the easier-to-read infix notation in the remainder of this documentation.
This trait allows for partial equality, for types that do not have a full equivalence relation. For example, in floating point numbers NaN != NaN, so floating point types implement PartialEq but not Eq.
Implementations must ensure that eq and ne are consistent with each other:
a != b if and only if !(a == b)(ensured by the default implementation).
If PartialOrd or Ord are also implemented for Self and Rhs, their methods must also be consistent with PartialEq (see the documentation of those traits for the exact requirements). It’s easy to accidentally make them disagree by deriving some of the traits and manually implementing others.
The equality relation == must satisfy the following conditions (for all a, b, c of type A, B, C):
Symmetric: if A: PartialEq<B> and B: PartialEq<A>, then a == bimplies b == a; and
Transitive: if A: PartialEq<B> and B: PartialEq<C> and A: PartialEq<C>, then a == b and b == c implies a == c.
Note that the B: PartialEq<A> (symmetric) and A: PartialEq<C>(transitive) impls are not forced to exist, but these requirements apply whenever they do exist.
This trait can be used with #[derive]. When derived on structs, two instances are equal if all fields are equal, and not equal if any fields are not equal. When derived on enums, each variant is equal to itself and not equal to the other variants.
An example implementation for a domain in which two books are considered the same book if their ISBN matches, even if the formats differ:
enum BookFormat {
Paperback,
Hardback,
Ebook,
}
struct Book {
isbn: i32,
format: BookFormat,
}
impl PartialEq for Book {
fn eq(&self, other: &Self) -> bool {
self.isbn == other.isbn
}
}
let b1 = Book { isbn: 3, format: BookFormat::Paperback };
let b2 = Book { isbn: 3, format: BookFormat::Ebook };
let b3 = Book { isbn: 10, format: BookFormat::Paperback };
assert!(b1 == b2);
assert!(b1 != b3);
By changing impl PartialEq for Book to impl PartialEq<BookFormat> for Book, we allow BookFormats to be compared with Books.
A comparison like the one above, which ignores some fields of the struct, can be dangerous. It can easily lead to an unintended violation of the requirements for a partial equivalence relation. For example, if we kept the above implementation of PartialEq<Book> for BookFormat and added an implementation of PartialEq<Book> for Book (either via a #[derive] or via the manual implementation from the first example) then the result would violate transitivity:
#[derive(PartialEq)]
enum BookFormat {
Paperback,
Hardback,
Ebook,
}
#[derive(PartialEq)]
struct Book {
isbn: i32,
format: BookFormat,
}
impl PartialEq<BookFormat> for Book {
fn eq(&self, other: &BookFormat) -> bool {
self.format == *other
}
}
impl PartialEq<Book> for BookFormat {
fn eq(&self, other: &Book) -> bool {
*self == other.format
}
}
fn main() {
let b1 = Book { isbn: 1, format: BookFormat::Paperback };
let b2 = Book { isbn: 2, format: BookFormat::Paperback };
assert!(b1 == BookFormat::Paperback);
assert!(BookFormat::Paperback == b2);
// The following should hold by transitivity but doesn't.
assert!(b1 == b2); // <-- PANICS
}
impl PartialEq<extern "C" fn() -> Ret> for extern "C" fn() -> Ret
impl PartialEq<unsafe extern "C" fn() -> Ret> for unsafe extern "C" fn() -> Ret
impl<Ret, A> PartialEq<extern "C" fn(A) -> Ret> for extern "C" fn(A) -> Ret
impl<Ret, A> PartialEq<extern "C" fn(A, ...) -> Ret> for extern "C" fn(A, ...) -> Ret
impl<Ret, A> PartialEq<unsafe fn(A) -> Ret> for unsafe fn(A) -> Ret
impl<Ret, A> PartialEq<unsafe extern "C" fn(A) -> Ret> for unsafe extern "C" fn(A) -> Ret
impl<Ret, A> PartialEq<unsafe extern "C" fn(A, ...) -> Ret> for unsafe extern "C" fn(A, ...) -> Ret
impl<Ret, A, B> PartialEq<extern "C" fn(A, B) -> Ret> for extern "C" fn(A, B) -> Ret
impl<Ret, A, B> PartialEq<extern "C" fn(A, B, ...) -> Ret> for extern "C" fn(A, B, ...) -> Ret
impl<Ret, A, B> PartialEq<unsafe fn(A, B) -> Ret> for unsafe fn(A, B) -> Ret
impl<Ret, A, B> PartialEq<unsafe extern "C" fn(A, B) -> Ret> for unsafe extern "C" fn(A, B) -> Ret
impl<Ret, A, B> PartialEq<unsafe extern "C" fn(A, B, ...) -> Ret> for unsafe extern "C" fn(A, B, ...) -> Ret
impl<Ret, A, B, C> PartialEq<fn(A, B, C) -> Ret> for fn(A, B, C) -> Ret
impl<Ret, A, B, C> PartialEq<extern "C" fn(A, B, C) -> Ret> for extern "C" fn(A, B, C) -> Ret
impl<Ret, A, B, C> PartialEq<extern "C" fn(A, B, C, ...) -> Ret> for extern "C" fn(A, B, C, ...) -> Ret
impl<Ret, A, B, C> PartialEq<unsafe fn(A, B, C) -> Ret> for unsafe fn(A, B, C) -> Ret
impl<Ret, A, B, C> PartialEq<unsafe extern "C" fn(A, B, C) -> Ret> for unsafe extern "C" fn(A, B, C) -> Ret
impl<Ret, A, B, C> PartialEq<unsafe extern "C" fn(A, B, C, ...) -> Ret> for unsafe extern "C" fn(A, B, C, ...) -> Ret
impl<Ret, A, B, C, D> PartialEq<fn(A, B, C, D) -> Ret> for fn(A, B, C, D) -> Ret
impl<Ret, A, B, C, D> PartialEq<extern "C" fn(A, B, C, D) -> Ret> for extern "C" fn(A, B, C, D) -> Ret
impl<Ret, A, B, C, D> PartialEq<extern "C" fn(A, B, C, D, ...) -> Ret> for extern "C" fn(A, B, C, D, ...) -> Ret
impl<Ret, A, B, C, D> PartialEq<unsafe fn(A, B, C, D) -> Ret> for unsafe fn(A, B, C, D) -> Ret
impl<Ret, A, B, C, D> PartialEq<unsafe extern "C" fn(A, B, C, D) -> Ret> for unsafe extern "C" fn(A, B, C, D) -> Ret
impl<Ret, A, B, C, D> PartialEq<unsafe extern "C" fn(A, B, C, D, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, ...) -> Ret
impl<Ret, A, B, C, D, E> PartialEq<fn(A, B, C, D, E) -> Ret> for fn(A, B, C, D, E) -> Ret
impl<Ret, A, B, C, D, E> PartialEq<extern "C" fn(A, B, C, D, E) -> Ret> for extern "C" fn(A, B, C, D, E) -> Ret
impl<Ret, A, B, C, D, E> PartialEq<extern "C" fn(A, B, C, D, E, ...) -> Ret> for extern "C" fn(A, B, C, D, E, ...) -> Ret
impl<Ret, A, B, C, D, E> PartialEq<unsafe fn(A, B, C, D, E) -> Ret> for unsafe fn(A, B, C, D, E) -> Ret
impl<Ret, A, B, C, D, E> PartialEq<unsafe extern "C" fn(A, B, C, D, E) -> Ret> for unsafe extern "C" fn(A, B, C, D, E) -> Ret
impl<Ret, A, B, C, D, E> PartialEq<unsafe extern "C" fn(A, B, C, D, E, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, ...) -> Ret
impl<Ret, A, B, C, D, E, F> PartialEq<fn(A, B, C, D, E, F) -> Ret> for fn(A, B, C, D, E, F) -> Ret
impl<Ret, A, B, C, D, E, F> PartialEq<extern "C" fn(A, B, C, D, E, F) -> Ret> for extern "C" fn(A, B, C, D, E, F) -> Ret
impl<Ret, A, B, C, D, E, F> PartialEq<extern "C" fn(A, B, C, D, E, F, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, ...) -> Ret
impl<Ret, A, B, C, D, E, F> PartialEq<unsafe fn(A, B, C, D, E, F) -> Ret> for unsafe fn(A, B, C, D, E, F) -> Ret
impl<Ret, A, B, C, D, E, F> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F) -> Ret
impl<Ret, A, B, C, D, E, F> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G> PartialEq<fn(A, B, C, D, E, F, G) -> Ret> for fn(A, B, C, D, E, F, G) -> Ret
impl<Ret, A, B, C, D, E, F, G> PartialEq<extern "C" fn(A, B, C, D, E, F, G) -> Ret> for extern "C" fn(A, B, C, D, E, F, G) -> Ret
impl<Ret, A, B, C, D, E, F, G> PartialEq<extern "C" fn(A, B, C, D, E, F, G, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G> PartialEq<unsafe fn(A, B, C, D, E, F, G) -> Ret> for unsafe fn(A, B, C, D, E, F, G) -> Ret
impl<Ret, A, B, C, D, E, F, G> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G) -> Ret
impl<Ret, A, B, C, D, E, F, G> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H> PartialEq<fn(A, B, C, D, E, F, G, H) -> Ret> for fn(A, B, C, D, E, F, G, H) -> Ret
impl<Ret, A, B, C, D, E, F, G, H> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H) -> Ret
impl<Ret, A, B, C, D, E, F, G, H> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H> PartialEq<unsafe fn(A, B, C, D, E, F, G, H) -> Ret> for unsafe fn(A, B, C, D, E, F, G, H) -> Ret
impl<Ret, A, B, C, D, E, F, G, H> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H) -> Ret
impl<Ret, A, B, C, D, E, F, G, H> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I> PartialEq<fn(A, B, C, D, E, F, G, H, I) -> Ret> for fn(A, B, C, D, E, F, G, H, I) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I> PartialEq<unsafe fn(A, B, C, D, E, F, G, H, I) -> Ret> for unsafe fn(A, B, C, D, E, F, G, H, I) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J> PartialEq<fn(A, B, C, D, E, F, G, H, I, J) -> Ret> for fn(A, B, C, D, E, F, G, H, I, J) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, J) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, J) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, J, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, J, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J> PartialEq<unsafe fn(A, B, C, D, E, F, G, H, I, J) -> Ret> for unsafe fn(A, B, C, D, E, F, G, H, I, J) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K> PartialEq<fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret> for fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K> PartialEq<unsafe fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret> for unsafe fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K, L> PartialEq<fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret> for fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K, L> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K, L> PartialEq<extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L, ...) -> Ret> for extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L, ...) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K, L> PartialEq<unsafe fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret> for unsafe fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K, L> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L) -> Ret
impl<Ret, A, B, C, D, E, F, G, H, I, J, K, L> PartialEq<unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L, ...) -> Ret> for unsafe extern "C" fn(A, B, C, D, E, F, G, H, I, J, K, L, ...) -> Ret