Enum Variance 

#[repr(u8)]
pub enum Variance {
    Bivariant = 0,
    Covariant = 1,
    Contravariant = 2,
    Invariant = 3,
}

Variance of a type with respect to its type/lifetime parameters.

See:

• Rust Reference: Subtyping and Variance
• Rust Reference: Variance of built-in types
• The Rustonomicon: Subtyping and Variance

Variants

Bivariant = 0

Type is bivariant: no lifetime constraints at all.

A type is bivariant if it has no lifetime parameters and contains no references or interior mutability. Such types can be freely substituted regardless of lifetime constraints.

Examples: i32, String, bool, all primitives, types with no lifetime dependency

Bivariant is the “top” of the variance lattice - it imposes no constraints. When combined with any other variance, the other variance “wins”:

• Bivariant.combine(X) == X for any variance X

When flipped (for contravariant positions like fn arguments):

• Bivariant.flip() == Bivariant (no change)

See GitHub Issue #1708

Covariant = 1

Type is covariant: can safely shrink lifetimes ('static → 'a).

A type F<T> is covariant if F<Sub> is a subtype of F<Super> when Sub is a subtype of Super. This means the type “preserves” the subtyping relationship.

Examples: &'a T, *const T, Box<T>, Vec<T>, [T; N]

Note: Prior to issue #1708, types with no lifetime parameters were also marked as Covariant. Now they should be marked as Bivariant.

See Rust Reference: Covariance

Contravariant = 2

Type is contravariant: can safely grow lifetimes ('a → 'static).

A type F<T> is contravariant if F<Super> is a subtype of F<Sub> when Sub is a subtype of Super. This means the type “reverses” the subtyping relationship.

Examples: fn(T) is contravariant with respect to T

See Rust Reference: Contravariance

Invariant = 3

Type is invariant: no lifetime or type parameter changes allowed.

A type F<T> is invariant if neither F<Sub> nor F<Super> is a subtype of the other, regardless of the relationship between Sub and Super.

Examples (overall lifetime variance): *mut T, &'a mut &'b T

Note: &'a mut T is invariant with respect to T, but if T contributes Bivariant (no lifetime constraints), the overall lifetime variance is still Covariant (from 'a).

Invariant is the “bottom” of the variance lattice - it imposes maximum constraints. When combined with any other variance, Invariant always “wins”:

• X.combine(Invariant) == Invariant for any variance X

See Rust Reference: Invariance

Implementations

impl Variance

pub const BIVARIANT: fn(&'static Shape) -> Variance = bivariant

Function that returns Variance::Bivariant.

Use this for types with no lifetime parameters (like i32, String), since they impose no constraints on lifetimes.

Bivariant is the “top” of the variance lattice - when combined with any other variance, the other variance wins. When flipped, bivariant stays bivariant.

See GitHub Issue #1708

pub const COVARIANT: fn(&'static Shape) -> Variance = covariant

Function that returns Variance::Covariant.

Use this for types that are covariant with respect to their type/lifetime parameter, such as &'a T, *const T, Box<T>, Vec<T>, [T; N].

Note: For types with no lifetime parameters (like i32, String), use Self::BIVARIANT instead, as they impose no constraints on lifetimes.

See Rust Reference: Variance of built-in types

pub const CONTRAVARIANT: fn(&'static Shape) -> Variance = contravariant

Function that returns Variance::Contravariant.

Use this for types that are contravariant with respect to their type/lifetime parameter, such as fn(T) (contravariant with respect to T).

See Rust Reference: Variance of built-in types

pub const INVARIANT: fn(&'static Shape) -> Variance = invariant

Function that returns Variance::Invariant.

Use this for types that are invariant with respect to their type/lifetime parameter, such as *mut T, Cell<T>, UnsafeCell<T>.

This is the safe default when variance is unknown.

See Rust Reference: Variance of built-in types

pub const fn combine(self, other: Variance) -> Variance

Combine two variances (used when a type contains multiple lifetime-carrying fields).

This is the “meet” (greatest lower bound) operation in the variance lattice:

       Bivariant (top)
       /        \
  Covariant    Contravariant
       \        /
       Invariant (bottom)

Rules:

• Bivariant is identity: Bi.combine(X) == X
• Same variance: keep it
• Mixed covariant/contravariant: becomes invariant
• Invariant dominates everything

pub const fn flip(self) -> Variance

Flip variance (used when type appears in contravariant position, like fn args).

• Bivariant stays Bivariant (no lifetime constraints to flip)
• Covariant ↔ Contravariant
• Invariant stays Invariant

pub const fn can_shrink(self) -> bool

Returns true if lifetimes can be safely shrunk ('static → 'a).

True for Covariant and Bivariant types.

pub const fn can_grow(self) -> bool

Returns true if lifetimes can be safely grown ('a → 'static).

True for Contravariant and Bivariant types.

Trait Implementations

impl Clone for Variance

fn clone(&self) -> Variance

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for Variance

impl Debug for Variance

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for Variance

fn default() -> Variance

Returns the “default value” for a type.

impl Eq for Variance

impl Hash for Variance

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl PartialEq for Variance

fn eq(&self, other: &Variance) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for Variance