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14 changes: 12 additions & 2 deletions curve/src/montgomery.rs
Original file line number Diff line number Diff line change
Expand Up @@ -54,7 +54,12 @@ pub trait MontgomeryCurve<F: Field>: fmt::Debug + Clone + Copy + PartialEq + Eq
F: Sqrt3Mod4,
{
let rhs = x * (x * x + self.a() * x + FieldElement::one());
let y2 = rhs * self.b().inv();
let b = self.b();
let y2 = if b == FieldElement::one() {
rhs
} else {
rhs * b.inv()
};
let y = y2.sqrt();
y * y == y2
}
Expand Down Expand Up @@ -260,7 +265,12 @@ pub trait ExtensionMontgomeryCurve<E: ExtensionField>:
E::Base: Sqrt3Mod4,
{
let rhs = x * (x * x + self.a() * x + ExtensionFieldElement::one());
let y2 = rhs * self.b().inv();
let b = self.b();
let y2 = if b == ExtensionFieldElement::one() {
rhs
} else {
rhs * b.inv()
};
let y = y2.sqrt();
y * y == y2
}
Expand Down
4 changes: 4 additions & 0 deletions field/src/lib.rs
Original file line number Diff line number Diff line change
Expand Up @@ -293,6 +293,10 @@ impl<P: Field> FieldElement<P> {
_marker: PhantomData,
}
}

pub fn normalize_by(&self, denom: Self) -> Self {
*self * denom.inv()
}
}

impl<P: Sqrt3Mod4> FieldElement<P> {
Expand Down
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