Struct ark_r1cs_std::groups::curves::twisted_edwards::MontgomeryAffineVar

pub struct MontgomeryAffineVar<P: TEModelParameters, F: FieldVar<P::BaseField, <P::BaseField as Field>::BasePrimeField>> where
    for<'a> &'a F: FieldOpsBounds<'a, P::BaseField, F>,  {
    pub x: F,
    pub y: F,
    // some fields omitted
}

An implementation of arithmetic for Montgomery curves that relies on incomplete addition formulae for the affine model, as outlined in the EFD.

This is intended for use primarily for implementing efficient multi-scalar-multiplication in the Bowe-Hopwood-Pedersen hash.

Fields

x: F

The x-coordinate.

y: F

The y-coordinate.

Implementations

impl<P: TEModelParameters, F: FieldVar<P::BaseField, <P::BaseField as Field>::BasePrimeField>> MontgomeryAffineVar<P, F> where
    for<'a> &'a F: FieldOpsBounds<'a, P::BaseField, F>, 

pub fn new(x: F, y: F) -> Self

Constructs Self from an (x, y) coordinate pair.

pub fn from_edwards_to_coords(
    p: &TEAffine<P>
) -> Result<(P::BaseField, P::BaseField), SynthesisError>

Converts a Twisted Edwards curve point to coordinates for the corresponding affine Montgomery curve point.

pub fn new_witness_from_edwards(
    cs: ConstraintSystemRef<<P::BaseField as Field>::BasePrimeField>,
    p: &TEAffine<P>
) -> Result<Self, SynthesisError>

Converts a Twisted Edwards curve point to coordinates for the corresponding affine Montgomery curve point.

pub fn into_edwards(&self) -> Result<AffineVar<P, F>, SynthesisError>

Converts self into a Twisted Edwards curve point variable.

Trait Implementations

impl<'a, P, F> Add<&'a MontgomeryAffineVar<P, F>> for MontgomeryAffineVar<P, F> where
    P: TEModelParameters,
    F: FieldVar<P::BaseField, <P::BaseField as Field>::BasePrimeField>,
    for<'b> &'b F: FieldOpsBounds<'b, P::BaseField, F>, 

type Output = MontgomeryAffineVar<P, F>

The resulting type after applying the + operator.

fn add(self, other: &'a Self) -> Self::Output

Performs the + operation.

impl<P: TEModelParameters, F: FieldVar<P::BaseField, <P::BaseField as Field>::BasePrimeField>> Clone for MontgomeryAffineVar<P, F> where
    for<'a> &'a F: FieldOpsBounds<'a, P::BaseField, F>,
    F: Clone, 

fn clone(&self) -> Self

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<P: TEModelParameters, F: FieldVar<P::BaseField, <P::BaseField as Field>::BasePrimeField>> Debug for MontgomeryAffineVar<P, F> where
    for<'a> &'a F: FieldOpsBounds<'a, P::BaseField, F>,
    F: Debug, 

fn fmt(&self, __f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<P, F> R1CSVar<<<P as ModelParameters>::BaseField as Field>::BasePrimeField> for MontgomeryAffineVar<P, F> where
    P: TEModelParameters,
    F: FieldVar<P::BaseField, <P::BaseField as Field>::BasePrimeField>,
    for<'a> &'a F: FieldOpsBounds<'a, P::BaseField, F>, 

type Value = (P::BaseField, P::BaseField)

The type of the “native” value that Self represents in the constraint system.

fn cs(&self) -> ConstraintSystemRef<<P::BaseField as Field>::BasePrimeField>

Returns the underlying ConstraintSystemRef.

fn value(&self) -> Result<Self::Value, SynthesisError>

Returns the value that is assigned to self in the underlying ConstraintSystem.

fn is_constant(&self) -> bool

Returns true if self is a circuit-generation-time constant.