/
arithmetic.rs
87 lines (82 loc) · 2.54 KB
/
arithmetic.rs
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//! Elliptic curve arithmetic traits.
use crate::{
ops::LinearCombination, AffineXCoordinate, Curve, FieldBytes, IsHigh, PrimeCurve, ScalarCore,
};
use core::fmt::Debug;
use subtle::{ConditionallySelectable, ConstantTimeEq};
use zeroize::DefaultIsZeroes;
/// Elliptic curve with affine arithmetic implementation.
#[cfg_attr(docsrs, doc(cfg(feature = "arithmetic")))]
pub trait AffineArithmetic: Curve + ScalarArithmetic {
/// Elliptic curve point in affine coordinates.
type AffinePoint: 'static
+ AffineXCoordinate<Self>
+ Copy
+ Clone
+ ConditionallySelectable
+ ConstantTimeEq
+ Debug
+ Default
+ DefaultIsZeroes
+ Eq
+ PartialEq
+ Sized
+ Send
+ Sync;
}
/// Prime order elliptic curve with projective arithmetic implementation.
#[cfg_attr(docsrs, doc(cfg(feature = "arithmetic")))]
pub trait PrimeCurveArithmetic:
PrimeCurve + ProjectiveArithmetic<ProjectivePoint = Self::CurveGroup>
{
/// Prime order elliptic curve group.
type CurveGroup: group::prime::PrimeCurve<Affine = <Self as AffineArithmetic>::AffinePoint>;
}
/// Elliptic curve with projective arithmetic implementation.
#[cfg_attr(docsrs, doc(cfg(feature = "arithmetic")))]
pub trait ProjectiveArithmetic: Curve + AffineArithmetic {
/// Elliptic curve point in projective coordinates.
///
/// Note: the following bounds are provided by [`group::Group`]:
/// - `'static`
/// - [`Copy`]
/// - [`Clone`]
/// - [`Debug`]
/// - [`Eq`]
/// - [`Sized`]
/// - [`Send`]
/// - [`Sync`]
type ProjectivePoint: ConditionallySelectable
+ ConstantTimeEq
+ Default
+ DefaultIsZeroes
+ From<Self::AffinePoint>
+ Into<Self::AffinePoint>
+ LinearCombination
+ group::Curve<AffineRepr = Self::AffinePoint>
+ group::Group<Scalar = Self::Scalar>;
}
/// Scalar arithmetic.
#[cfg(feature = "arithmetic")]
#[cfg_attr(docsrs, doc(cfg(feature = "arithmetic")))]
pub trait ScalarArithmetic: Curve {
/// Scalar field type.
///
/// Note: the following bounds are provided by [`ff::Field`]:
/// - `'static`
/// - [`Copy`]
/// - [`Clone`]
/// - [`ConditionallySelectable`]
/// - [`ConstantTimeEq`]
/// - [`Debug`]
/// - [`Default`]
/// - [`Send`]
/// - [`Sync`]
type Scalar: DefaultIsZeroes
+ From<ScalarCore<Self>>
+ Into<FieldBytes<Self>>
+ Into<Self::UInt>
+ IsHigh
+ ff::Field
+ ff::PrimeField<Repr = FieldBytes<Self>>;
}