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Minimize use of lazy_static in ed448
Increases usage of const values along with overall Field impl sanity with regards to the crypto_bigint backend.
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@@ -10,25 +10,32 @@ use rand_core::RngCore;
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use zeroize::Zeroize;
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use subtle::{Choice, CtOption, ConstantTimeEq, ConditionallySelectable, ConditionallyNegatable};
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use crypto_bigint::U512;
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use ff::{Field, PrimeField, PrimeFieldBits};
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use group::{Group, GroupEncoding, prime::PrimeGroup};
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use crate::{
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scalar::{Scalar, MODULUS as SCALAR_MODULUS},
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field::{FieldElement, Q_4},
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field::{FieldElement, MODULUS as FIELD_MODULUS, Q_4},
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};
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lazy_static! {
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static ref D: FieldElement = -FieldElement::from(39081u16);
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}
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const D: FieldElement = FieldElement(FIELD_MODULUS.0.saturating_sub(&U512::from_u16(39081)));
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const G_Y: FieldElement = FieldElement(U512::from_be_hex(concat!(
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"00000000000000",
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"00",
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"693f46716eb6bc248876203756c9c7624bea73736ca3984087789c1e",
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"05a0c2d73ad3ff1ce67c39c4fdbd132c4ed7c8ad9808795bf230fa14",
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)));
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fn recover_x(y: FieldElement) -> CtOption<FieldElement> {
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let ysq = y.square();
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#[allow(non_snake_case)]
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let D_ysq = *D * ysq;
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let D_ysq = D * ysq;
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(D_ysq - FieldElement::one()).invert().and_then(|inverted| {
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let temp = (ysq - FieldElement::one()) * inverted;
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let mut x = temp.pow(*Q_4);
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let mut x = temp.pow(Q_4);
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x.conditional_negate(x.is_odd());
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let xsq = x.square();
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@@ -43,17 +50,8 @@ pub struct Point {
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z: FieldElement,
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}
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#[rustfmt::skip]
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lazy_static! {
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static ref G_Y: FieldElement = FieldElement::from_repr(
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hex_literal::hex!(
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"14fa30f25b790898adc8d74e2c13bdfdc4397ce61cffd33ad7c2a0051e9c78874098a36c7373ea4b62c7c9563720768824bcb66e71463f6900"
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)
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.into()
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)
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.unwrap();
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static ref G: Point = Point { x: recover_x(*G_Y).unwrap(), y: *G_Y, z: FieldElement::one() };
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static ref G: Point = Point { x: recover_x(G_Y).unwrap(), y: G_Y, z: FieldElement::one() };
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}
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impl ConstantTimeEq for Point {
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@@ -96,7 +94,7 @@ impl Add for Point {
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#[allow(non_snake_case)]
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let B = zcp.square();
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#[allow(non_snake_case)]
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let E = *D * xcp * ycp;
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let E = D * xcp * ycp;
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#[allow(non_snake_case)]
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let F = B - E;
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#[allow(non_snake_case)]
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@@ -268,7 +266,7 @@ impl MulAssign<&Scalar> for Point {
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impl Point {
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pub fn is_torsion_free(&self) -> Choice {
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(*self * *SCALAR_MODULUS).is_identity()
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(*self * SCALAR_MODULUS).is_identity()
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}
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}
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