Struct F101 

pub struct F101(/* private fields */);

A field element modulo 101.

Examples

use field_cat::{F101, Field};

let a = F101::new(50);
let b = F101::new(30);
assert_eq!((a + b).value(), 80);

// Values larger than 101 are reduced.
assert_eq!(F101::new(103), F101::new(2));

// Multiplicative inverse via Fermat's little theorem.
let inv = F101::new(7).inv()?;
assert_eq!(F101::new(7) * inv, F101::one());

Implementations

impl F101

pub fn new(value: u64) -> Self

Create a new field element, reducing modulo 101.

pub fn value(self) -> u64

The underlying integer value in [0, 101).

Trait Implementations

impl Add for F101

type Output = F101

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self

Performs the + operation.

impl Clone for F101

fn clone(&self) -> F101

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for F101

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

Formats the value using the given formatter.

impl Display for F101

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

Formats the value using the given formatter.

impl Field for F101

fn zero() -> Self

The additive identity.

fn one() -> Self

The multiplicative identity.

fn inv(&self) -> Result<Self, Error>

Multiplicative inverse.

impl FieldBytes for F101

fn to_le_bytes(&self) -> Vec<u8>

Serialize this element to little-endian bytes.

fn from_le_bytes(bytes: &[u8]) -> Result<Self, Error>

Deserialize from little-endian bytes.

impl Hash for F101

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 Mul for F101

type Output = F101

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self

Performs the * operation.

impl Neg for F101

type Output = F101

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for F101

fn eq(&self, other: &F101) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Sub for F101

type Output = F101

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self

Performs the - operation.

impl Copy for F101

impl Eq for F101

impl StructuralPartialEq for F101