# num_traits::identities::Zero - Rust
API documentation for the Rust `Zero` trait in crate `num_traits`.
Keywords: rust, rustlang, rust-lang, Zero

# Trait num_traits::identities::Zero [−] [src]

    pub trait Zero: Add<Self, Output = Self> {
        fn zero() -> Self;
        fn is_zero(&self) -> bool;
    }

Defines an additive identity element for `Self`.

## Required Methods

### `fn zero() -> Self`

Returns the additive identity element of `Self`, `0`.

# Laws

    a + 0 = a       ∀ a ∈ Self
    0 + a = a       ∀ a ∈ Self

# Purity

This function should return the same result at all times regardless of external mutable state, for example values stored in TLS or in `static mut`s.

### `fn is_zero(&self) -> bool`

Returns `true` if `self` is equal to the additive identity.

## Implementations on Foreign Types

### `impl Zero for u64`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for f64`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl<T> Zero for Wrapping<T> where
T: Zero,
Wrapping<T>: Add<Wrapping<T>>,
<Wrapping<T> as Add<Wrapping<T>>>::Output == Wrapping<T>,`
[src]

#### `fn is_zero(&self) -> bool`
[src]

#### `fn zero() -> Wrapping<T>`
[src]

### `impl Zero for usize`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for u32`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for u8`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for i8`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for i32`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for f32`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for u16`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for i64`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for isize`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

### `impl Zero for i16`
[src]

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

#### `fn is_zero(&self) -> bool`
[src]

## Implementors

# Help

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