ark-ec 0.3.0

A library for elliptic curves and pairings
Documentation 
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use ark_ff::{Field, PrimeField, SquareRootField, Zero};

pub mod bls12;
pub mod bn;
pub mod bw6;
pub mod mnt4;
pub mod mnt6;
pub mod short_weierstrass_jacobian;
pub mod twisted_edwards_extended;

pub trait ModelParameters: Send + Sync + 'static {
    type BaseField: Field + SquareRootField;
    type ScalarField: PrimeField + SquareRootField + Into<<Self::ScalarField as PrimeField>::BigInt>;
}

pub trait SWModelParameters: ModelParameters {
    const COEFF_A: Self::BaseField;
    const COEFF_B: Self::BaseField;
    const COFACTOR: &'static [u64];
    const COFACTOR_INV: Self::ScalarField;
    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField);

    #[inline(always)]
    fn mul_by_a(elem: &Self::BaseField) -> Self::BaseField {
        let mut copy = *elem;
        copy *= &Self::COEFF_A;
        copy
    }

    #[inline(always)]
    fn add_b(elem: &Self::BaseField) -> Self::BaseField {
        if !Self::COEFF_B.is_zero() {
            let mut copy = *elem;
            copy += &Self::COEFF_B;
            return copy;
        }
        *elem
    }
}

pub trait TEModelParameters: ModelParameters {
    const COEFF_A: Self::BaseField;
    const COEFF_D: Self::BaseField;
    const COFACTOR: &'static [u64];
    const COFACTOR_INV: Self::ScalarField;
    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField);

    type MontgomeryModelParameters: MontgomeryModelParameters<BaseField = Self::BaseField>;

    #[inline(always)]
    fn mul_by_a(elem: &Self::BaseField) -> Self::BaseField {
        let mut copy = *elem;
        copy *= &Self::COEFF_A;
        copy
    }
}

pub trait MontgomeryModelParameters: ModelParameters {
    const COEFF_A: Self::BaseField;
    const COEFF_B: Self::BaseField;

    type TEModelParameters: TEModelParameters<BaseField = Self::BaseField>;
}