Trait zerocaf::traits::ops::Double

pub trait Double {
    type Output;
#[must_use]
    fn double(self) -> Self::Output;
}

Trait that represents the Point doubling operation for any type of Point that is used on the lib.

This trait is implemented following the rules that mandate over the Type that is being implemented.

Associated Types

type Output

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Required methods

#[must_use] fn double(self) -> Self::Output

Performs the point-doubling operation over the coordinates which this trait has been implemented for.

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Implementors

impl<'a> Double for &'a EdwardsPoint

type Output = EdwardsPoint

fn double(self) -> EdwardsPoint

Performs the point doubling operation ie. 2*P over the Twisted Edwards Extended Coordinates.

This implementation is specific for curves with a = -1 as Sonny is. Source: 2008 Hisil–Wong–Carter–Dawson, http://eprint.iacr.org/2008/522, Section 3.1. Cost: 4M+ 4S+ 1D

impl<'a> Double for &'a ProjectivePoint

type Output = ProjectivePoint

fn double(self) -> ProjectivePoint

Double the given point following: This implementation is specific for curves with a = -1 as Sonny is.

/// Bernstein D.J., Birkner P., Joye M., Lange T., Peters C. (2008) Twisted Edwards Curves. In: Vaudenay S. (eds) Progress in Cryptology – AFRICACRYPT 2008. AFRICACRYPT 2008. Lecture Notes in Computer Science, vol 5023. Springer, Berlin, Heidelberg. See: https://eprint.iacr.org/2008/013.pdf - Section 6.

Cost: 3M+ 4S+ +7a + 1D.

impl<'a> Double for &'a RistrettoPoint

type Output = RistrettoPoint

fn double(self) -> RistrettoPoint

Performs the point doubling operation ie. 2*P over the Twisted Edwards Extended Coordinates.

This implementation is specific for curves with a = -1 as the isomorphic twist is. Source: 2008 Hisil–Wong–Carter–Dawson, http://eprint.iacr.org/2008/522, Section 3.1. Cost: 4M+ 4S+ 1D

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