Struct FixedMontgomery32 

pub struct FixedMontgomery32<const P: u32>;

A modular reducer based on Montgomery form for 32-bit operands, with the modulus P known at compile time.

Example

use num_modular::{FixedMontgomery32, Reducer};

const P: u32 = 17;
let reducer = FixedMontgomery32::<P>::new(&P);
let a = reducer.transform(3);
let b = reducer.transform(5);
assert_eq!(reducer.residue(reducer.mul(&a, &b)), 15);

Implementations

impl<const P: u32> FixedMontgomery32<P>

pub const MODULUS: u32 = P

Trait Implementations

impl<const P: u32> Clone for FixedMontgomery32<P>

fn clone(&self) -> FixedMontgomery32<P>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<const P: u32> Copy for FixedMontgomery32<P>

impl<const P: u32> Debug for FixedMontgomery32<P>

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

Formats the value using the given formatter.

impl<const P: u32> Reducer<u32> for FixedMontgomery32<P>

fn new(m: &u32) -> Self

Create a reducer for a modulus m

fn transform(&self, target: u32) -> u32

Transform a normal integer into reduced form

fn residue(&self, target: u32) -> u32

Transform a reduced form back to normal integer

fn check(&self, target: &u32) -> bool

Check whether target is a valid reduced form

fn modulus(&self) -> u32

Get the modulus in original integer type

fn is_zero(&self, target: &u32) -> bool

Test if the residue() == 0

fn add(&self, lhs: &u32, rhs: &u32) -> u32

Calculate (lhs + rhs) mod m in reduced form

fn sub(&self, lhs: &u32, rhs: &u32) -> u32

Calculate (lhs - rhs) mod m in reduced form

fn dbl(&self, target: u32) -> u32

Calculate 2*target mod m

fn neg(&self, target: u32) -> u32

Calculate -target mod m in reduced form

fn mul(&self, lhs: &u32, rhs: &u32) -> u32

Calculate (lhs * rhs) mod m in reduced form

fn sqr(&self, target: u32) -> u32

Calculate target^2 mod m in reduced form

fn inv(&self, target: u32) -> Option<u32>

Calculate target^-1 mod m in reduced form, it may return None when there is no modular inverse.

fn pow(&self, base: u32, exp: &u32) -> u32

Calculate base ^ exp mod m in reduced form

fn add_in_place(&self, lhs: &mut T, rhs: &T)

fn sub_in_place(&self, lhs: &mut T, rhs: &T)

fn mul_in_place(&self, lhs: &mut T, rhs: &T)