Struct ark_ed_on_bn254::EdwardsConfig

pub struct EdwardsConfig;

Baby-JubJub is a twisted Edwards curve. These curves have equations of the form: ax² + y² = 1 + dx²y². over some base finite field Fq.

Baby-JubJub’s curve equation: x² + y² = 1 + (168696/168700)x²y²

q = 21888242871839275222246405745257275088548364400416034343698204186575808495617

Trait Implementations

impl Clone for EdwardsConfig

fn clone(&self) -> EdwardsConfig

Returns a copy of the value.

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

Performs copy-assignment from source.

impl CurveConfig for EdwardsConfig

const COFACTOR: &'static [u64] = _

COFACTOR = 8

const COFACTOR_INV: Fr = _

COFACTOR^(-1) mod r = 2394026564107420727433200628387514462817212225638746351800188703329891451411

type BaseField = Fp<MontBackend<FrConfig, 4>, 4>

Base field that the curve is defined over.

type ScalarField = Fp<MontBackend<FrConfig, 4>, 4>

Finite prime field corresponding to an appropriate prime-order subgroup of the curve group.

fn cofactor_is_one() -> bool

impl Default for EdwardsConfig

fn default() -> EdwardsConfig

Returns the “default value” for a type.

impl MontCurveConfig for EdwardsConfig

const COEFF_A: Fq = _

COEFF_A = 168698

const COEFF_B: Fq = _

COEFF_B = 168700

type TECurveConfig = EdwardsConfig

Model parameters for the Twisted Edwards curve that is birationally equivalent to this curve.

impl PartialEq<EdwardsConfig> for EdwardsConfig

fn eq(&self, other: &EdwardsConfig) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl TECurveConfig for EdwardsConfig

const COEFF_A: Fq = Fq::ONE

COEFF_A = 1

const COEFF_D: Fq = _

COEFF_D = 168696/168700 mod q = 9706598848417545097372247223557719406784115219466060233080913168975159366771

const GENERATOR: EdwardsAffine = _

AFFINE_GENERATOR_COEFFS = (GENERATOR_X, GENERATOR_Y)

fn mul_by_a(elem: Self::BaseField) -> Self::BaseField

Helper method for computing elem * Self::COEFF_A.

type MontCurveConfig = EdwardsConfig

Model parameters for the Montgomery curve that is birationally equivalent to this curve.

fn is_in_correct_subgroup_assuming_on_curve(item: &Affine<Self>) -> bool

Checks that the current point is in the prime order subgroup given the point on the curve.

fn clear_cofactor(item: &Affine<Self>) -> Affine<Self>

Performs cofactor clearing. The default method is simply to multiply by the cofactor. For some curve families though, it is sufficient to multiply by a smaller scalar.

fn mul_projective(base: &Projective<Self>, scalar: &[u64]) -> Projective<Self>

Default implementation of group multiplication for projective coordinates

fn mul_affine(base: &Affine<Self>, scalar: &[u64]) -> Projective<Self>

Default implementation of group multiplication for affine coordinates

fn msm(
    bases: &[Affine<Self>],
    scalars: &[Self::ScalarField]
) -> Result<Projective<Self>, usize>

Default implementation for multi scalar multiplication

fn serialize_with_mode<W>(
    item: &Affine<Self>,
    writer: W,
    compress: Compress
) -> Result<(), SerializationError>where
    W: Write,

If uncompressed, serializes both x and y coordinates. If compressed, serializes y coordinate with a bit to encode whether x is positive.

fn deserialize_with_mode<R>(
    reader: R,
    compress: Compress,
    validate: Validate
) -> Result<Affine<Self>, SerializationError>where
    R: Read,

If validate is Yes, calls check() to make sure the element is valid.

fn serialized_size(compress: Compress) -> usize

impl Eq for EdwardsConfig

impl StructuralEq for EdwardsConfig

impl StructuralPartialEq for EdwardsConfig