use crate::{
ops::{Invert, LinearCombination, MulByGenerator, Reduce, ShrAssign},
point::AffineCoordinates,
scalar::{FromUintUnchecked, IsHigh},
Curve, FieldBytes, PrimeCurve, ScalarPrimitive,
};
use core::fmt::Debug;
use subtle::{ConditionallySelectable, ConstantTimeEq, CtOption};
use zeroize::DefaultIsZeroes;
pub trait CurveArithmetic: Curve {
type AffinePoint: 'static
+ AffineCoordinates<FieldRepr = FieldBytes<Self>>
+ Copy
+ ConditionallySelectable
+ ConstantTimeEq
+ Debug
+ Default
+ DefaultIsZeroes
+ Eq
+ PartialEq
+ Sized
+ Send
+ Sync;
type ProjectivePoint: ConditionallySelectable
+ ConstantTimeEq
+ Default
+ DefaultIsZeroes
+ From<Self::AffinePoint>
+ Into<Self::AffinePoint>
+ LinearCombination<[(Self::ProjectivePoint, Self::Scalar)]>
+ LinearCombination<[(Self::ProjectivePoint, Self::Scalar); 2]>
+ MulByGenerator
+ group::Curve<AffineRepr = Self::AffinePoint>
+ group::Group<Scalar = Self::Scalar>;
type Scalar: AsRef<Self::Scalar>
+ DefaultIsZeroes
+ From<ScalarPrimitive<Self>>
+ FromUintUnchecked<Uint = Self::Uint>
+ Into<FieldBytes<Self>>
+ Into<ScalarPrimitive<Self>>
+ Into<Self::Uint>
+ Invert<Output = CtOption<Self::Scalar>>
+ IsHigh
+ PartialOrd
+ Reduce<Self::Uint, Bytes = FieldBytes<Self>>
+ ShrAssign<usize>
+ ff::Field
+ ff::PrimeField<Repr = FieldBytes<Self>>;
}
pub trait PrimeCurveArithmetic:
PrimeCurve + CurveArithmetic<ProjectivePoint = Self::CurveGroup>
{
type CurveGroup: group::prime::PrimeCurve<Affine = <Self as CurveArithmetic>::AffinePoint>;
}