Trait reed_solomon_erasure::Field

pub trait Field: Sized {
    type Elem: Default + Clone + Copy + PartialEq + Debug;

    const ORDER: usize;

    fn add(a: Self::Elem, b: Self::Elem) -> Self::Elem;
    fn mul(a: Self::Elem, b: Self::Elem) -> Self::Elem;
    fn div(a: Self::Elem, b: Self::Elem) -> Self::Elem;
    fn exp(a: Self::Elem, n: usize) -> Self::Elem;
    fn zero() -> Self::Elem;
    fn one() -> Self::Elem;
    fn nth_internal(n: usize) -> Self::Elem;

    fn nth(n: usize) -> Self::Elem { ... }
    fn mul_slice(elem: Self::Elem, input: &[Self::Elem], out: &mut [Self::Elem]) { ... }
    fn mul_slice_add(
        elem: Self::Elem, 
        input: &[Self::Elem], 
        out: &mut [Self::Elem]
    ) { ... }
}

A finite field to perform encoding over.

Associated Types

type Elem: Default + Clone + Copy + PartialEq + Debug

The representational type of the field.

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Associated Constants

const ORDER: usize

The order of the field. This is a limit on the number of shards in an encoding.

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Required methods

fn add(a: Self::Elem, b: Self::Elem) -> Self::Elem

Add two elements together.

fn mul(a: Self::Elem, b: Self::Elem) -> Self::Elem

Multiply two elements together.

fn div(a: Self::Elem, b: Self::Elem) -> Self::Elem

Divide a by b. Panics is b is zero.

fn exp(a: Self::Elem, n: usize) -> Self::Elem

Raise a to the n'th power.

fn zero() -> Self::Elem

The "zero" element or additive identity.

fn one() -> Self::Elem

The "one" element or multiplicative identity.

fn nth_internal(n: usize) -> Self::Elem

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Provided methods

fn nth(n: usize) -> Self::Elem

Yield the nth element of the field. Panics if n >= ORDER. Assignment is arbitrary but must be unique to n.

fn mul_slice(elem: Self::Elem, input: &[Self::Elem], out: &mut [Self::Elem])

Multiply a slice of elements by another. Writes into the output slice.

Panics

Panics if the output slice does not have equal length to the input.

fn mul_slice_add(elem: Self::Elem, input: &[Self::Elem], out: &mut [Self::Elem])

Multiply a slice of elements by another, adding each result to the corresponding value in out.

Panics

Panics if the output slice does not have equal length to the input.

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Implementors

impl Field for reed_solomon_erasure::galois_16::Field

const ORDER: usize

type Elem = [u8; 2]

fn add(a: [u8; 2], b: [u8; 2]) -> [u8; 2]

fn mul(a: [u8; 2], b: [u8; 2]) -> [u8; 2]

fn div(a: [u8; 2], b: [u8; 2]) -> [u8; 2]

fn exp(elem: [u8; 2], n: usize) -> [u8; 2]

fn zero() -> [u8; 2]

fn one() -> [u8; 2]

fn nth_internal(n: usize) -> [u8; 2]

impl Field for reed_solomon_erasure::galois_8::Field

const ORDER: usize

type Elem = u8

fn add(a: u8, b: u8) -> u8

fn mul(a: u8, b: u8) -> u8

fn div(a: u8, b: u8) -> u8

fn exp(elem: u8, n: usize) -> u8

fn zero() -> u8

fn one() -> u8

fn nth_internal(n: usize) -> u8

fn mul_slice(c: u8, input: &[u8], out: &mut [u8])

fn mul_slice_add(c: u8, input: &[u8], out: &mut [u8])

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