# [−][src]Struct alga::general::Additive

    pub struct Additive;

The addition operator, commonly symbolized by `+`.

## Trait Implementations

### `impl AbstractMagma<Additive> for u8`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for u16`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for u32`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for u64`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for usize`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for i8`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for i16`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for i32`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for i64`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for isize`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for f32`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl AbstractMagma<Additive> for f64`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl<N: AbstractMagma<Additive>> AbstractMagma<Additive> for Complex<N>`[src]

#### `fn operate(&self, lhs: &Self) -> Self`[src]

Performs an operation.

#### `fn op(&self, _: O, lhs: &Self) -> Self`[src]

Performs specific operation.

### `impl<N> AbstractQuasigroup<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,` [src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for i8`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for i16`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for i32`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for i64`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for isize`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for f32`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractQuasigroup<Additive> for f64`[src]

#### `fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if latin squareness holds for the given arguments. Read more

### `impl AbstractSemigroup<Additive> for u8`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for u16`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for u32`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for u64`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for usize`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl<N> AbstractSemigroup<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,` [src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for i8`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for i16`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for i32`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for i64`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for isize`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for f32`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl AbstractSemigroup<Additive> for f64`[src]

#### `fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

#### `fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if associativity holds for the given arguments.

### `impl<N> AbstractLoop<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,` [src]

### `impl AbstractLoop<Additive> for i8`[src]

### `impl AbstractLoop<Additive> for i16`[src]

### `impl AbstractLoop<Additive> for i32`[src]

### `impl AbstractLoop<Additive> for i64`[src]

### `impl AbstractLoop<Additive> for isize`[src]

### `impl AbstractLoop<Additive> for f32`[src]

### `impl AbstractLoop<Additive> for f64`[src]

### `impl AbstractMonoid<Additive> for u8`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for u16`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for u32`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for u64`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for usize`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl<N> AbstractMonoid<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,` [src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for i8`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for i16`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for i32`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for i64`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for isize`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for f32`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl AbstractMonoid<Additive> for f64`[src]

#### `fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

#### `fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,` [src]

Checks whether operating with the identity element is a no-op for the given argument. Read more

### `impl<N> AbstractGroup<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,` [src]

### `impl AbstractGroup<Additive> for i8`[src]

### `impl AbstractGroup<Additive> for i16`[src]

### `impl AbstractGroup<Additive> for i32`[src]

### `impl AbstractGroup<Additive> for i64`[src]

### `impl AbstractGroup<Additive> for isize`[src]

### `impl AbstractGroup<Additive> for f32`[src]

### `impl AbstractGroup<Additive> for f64`[src]

### `impl<N> AbstractGroupAbelian<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,` [src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for i8`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for i16`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for i32`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for i64`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for isize`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for f32`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl AbstractGroupAbelian<Additive> for f64`[src]

#### `fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the operator is commutative for the given argument tuple.

### `impl Identity<Additive> for u8`[src]

#### `fn identity() -> u8`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for u16`[src]

#### `fn identity() -> u16`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for u32`[src]

#### `fn identity() -> u32`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for u64`[src]

#### `fn identity() -> u64`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for usize`[src]

#### `fn identity() -> usize`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for i8`[src]

#### `fn identity() -> i8`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for i16`[src]

#### `fn identity() -> i16`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for i32`[src]

#### `fn identity() -> i32`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for i64`[src]

#### `fn identity() -> i64`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for isize`[src]

#### `fn identity() -> isize`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for f32`[src]

#### `fn identity() -> f32`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl Identity<Additive> for f64`[src]

#### `fn identity() -> f64`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl<N: Identity<Additive>> Identity<Additive> for Complex<N>`[src]

#### `fn identity() -> Self`[src]

The identity element.

#### `fn id(_: O) -> Self where
Self: Sized,` [src]

Specific identity.

### `impl<N: AbstractRingCommutative<Additive, Multiplicative> + Num + ClosedNeg> AbstractModule<Additive, Additive, Multiplicative> for Complex<N>`[src]

#### `type AbstractRing = N`

The underlying scalar field.

#### `fn multiply_by(&self, r: N) -> Self`[src]

Multiplies an element of the ring with an element of the module.

### `impl Operator for Additive`[src]

#### `fn operator_token() -> Self`[src]

Returns the structure that identifies the operator.

### `impl TwoSidedInverse<Additive> for i8`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl TwoSidedInverse<Additive> for i16`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl TwoSidedInverse<Additive> for i32`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl TwoSidedInverse<Additive> for i64`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl TwoSidedInverse<Additive> for isize`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl TwoSidedInverse<Additive> for f32`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl TwoSidedInverse<Additive> for f64`[src]

#### `fn two_sided_inverse(&self) -> Self`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl<N: TwoSidedInverse<Additive>> TwoSidedInverse<Additive> for Complex<N>`[src]

#### `fn two_sided_inverse(&self) -> Complex<N>`[src]

Returns the two_sided_inverse of `self`, relative to the operator `O`. Read more

#### `fn two_sided_inverse_mut(&mut self)`[src]

In-place inversion of `self`, relative to the operator `O`. Read more

### `impl AbstractRing<Additive, Multiplicative> for i8`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRing<Additive, Multiplicative> for i16`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRing<Additive, Multiplicative> for i32`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRing<Additive, Multiplicative> for i64`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRing<Additive, Multiplicative> for isize`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRing<Additive, Multiplicative> for f32`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRing<Additive, Multiplicative> for f64`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl<N: Num + Clone + ClosedNeg + AbstractRing> AbstractRing<Additive, Multiplicative> for Complex<N>`[src]

#### `fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication and addition operators are distributive for the given argument tuple. Read more

### `impl AbstractRingCommutative<Additive, Multiplicative> for i8`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractRingCommutative<Additive, Multiplicative> for i16`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractRingCommutative<Additive, Multiplicative> for i32`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractRingCommutative<Additive, Multiplicative> for i64`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractRingCommutative<Additive, Multiplicative> for isize`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractRingCommutative<Additive, Multiplicative> for f32`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractRingCommutative<Additive, Multiplicative> for f64`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl<N: Num + Clone + ClosedNeg + AbstractRingCommutative> AbstractRingCommutative<Additive, Multiplicative> for Complex<N>`[src]

#### `fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more

#### `fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,` [src]

Returns `true` if the multiplication operator is commutative for the given argument tuple.

### `impl AbstractField<Additive, Multiplicative> for f32`[src]

### `impl AbstractField<Additive, Multiplicative> for f64`[src]

### `impl<N: Num + Clone + ClosedNeg + AbstractField> AbstractField<Additive, Multiplicative> for Complex<N>`[src]

### `impl Clone for Additive`[src]

#### `fn clone(&self) -> Additive`[src]

Returns a copy of the value. Read more

#### `fn clone_from(&mut self, source: &Self)`1.0.0[src]

Performs copy-assignment from `source`. Read more

### `impl Copy for Additive`[src]

## Auto Trait Implementations

### `impl Send for Additive`

### `impl Unpin for Additive`

### `impl Sync for Additive`

### `impl UnwindSafe for Additive`

### `impl RefUnwindSafe for Additive`

## Blanket Implementations

### `impl<T> ToOwned for T where
T: Clone,` [src]

#### `type Owned = T`

The resulting type after obtaining ownership.

#### `fn to_owned(&self) -> T`[src]

Creates owned data from borrowed data, usually by cloning. Read more

#### `fn clone_into(&self, target: &mut T)`[src]

🔬 This is a nightly-only experimental API. (`toowned_clone_into`)

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

### `impl<T, U> Into<U> for T where
U: From<T>,` [src]

#### `fn into(self) -> U`[src]

Performs the conversion.

### `impl<T> From<T> for T`[src]

#### `fn from(t: T) -> T`[src]

Performs the conversion.

### `impl<T, U> TryFrom<U> for T where
U: Into<T>,` [src]

#### `type Error = Infallible`

The type returned in the event of a conversion error.

#### `fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>`[src]

Performs the conversion.

### `impl<T, U> TryInto<U> for T where
U: TryFrom<T>,` [src]

#### `type Error = <U as TryFrom<T>>::Error`

The type returned in the event of a conversion error.

#### `fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>`[src]

Performs the conversion.

### `impl<T> BorrowMut<T> for T where
T: ?Sized,` [src]

#### `fn borrow_mut(&mut self) -> &mut T`[src]

Mutably borrows from an owned value. Read more

### `impl<T> Borrow<T> for T where
T: ?Sized,` [src]

#### `fn borrow(&self) -> &T`[src]

Immutably borrows from an owned value. Read more

### `impl<T> Any for T where
T: 'static + ?Sized,` [src]

#### `fn type_id(&self) -> TypeId`[src]

Gets the `TypeId` of `self`. Read more

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