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https://github.com/serai-dex/serai.git
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Move the entirety of ed448 to Residue, offering a further 2-4x speedup
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@@ -1,10 +1,9 @@
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use zeroize::Zeroize;
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use zeroize::{DefaultIsZeroes, Zeroize};
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use crypto_bigint::{U512, U1024};
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/// Ed448 Scalar field element.
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#[derive(Clone, Copy, PartialEq, Eq, Default, Debug, Zeroize)]
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pub struct Scalar(pub(crate) U512);
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use crypto_bigint::{
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U512, U1024,
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modular::constant_mod::{ResidueParams, Residue},
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};
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const MODULUS_PADDED_STR: &str = concat!(
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"00000000000000",
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@@ -13,18 +12,27 @@ const MODULUS_PADDED_STR: &str = concat!(
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"7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3",
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);
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impl_modulus!(ScalarModulus, U512, MODULUS_PADDED_STR);
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type ResidueType = Residue<ScalarModulus, { ScalarModulus::LIMBS }>;
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/// Ed448 Scalar field element.
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#[derive(Clone, Copy, PartialEq, Eq, Default, Debug)]
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pub struct Scalar(pub(crate) ResidueType);
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impl DefaultIsZeroes for Scalar {}
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const MODULUS_STR: &str = concat!(
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"3fffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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"7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3",
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);
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// 2**446 - 13818066809895115352007386748515426880336692474882178609894547503885
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pub(crate) const MODULUS: Scalar = Scalar(U512::from_be_hex(concat!(
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pub(crate) const MODULUS: U512 = U512::from_be_hex(concat!(
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"00000000000000",
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"00",
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"3fffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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"7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3",
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)));
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));
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const WIDE_MODULUS: U1024 = U1024::from_be_hex(concat!(
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"0000000000000000000000000000000000000000000000000000000000000000",
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@@ -37,20 +45,12 @@ const WIDE_MODULUS: U1024 = U1024::from_be_hex(concat!(
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field!(
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Scalar,
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MODULUS_PADDED_STR,
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ResidueType,
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MODULUS_STR,
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MODULUS,
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WIDE_MODULUS,
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446,
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concat!(
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"7a22ac554961bc91aac7e2463961b610481b6bd7a46d27e2f41165beffffffff",
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"ffffffffffffffffffffffffffffffffffffffffffffff1f0000000000000000",
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),
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2,
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concat!(
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"f24458ab92c27823558fc58d72c26c219036d6ae49db4ec4e923ca7cffffffff",
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"ffffffffffffffffffffffffffffffffffffffffffffff3f0000000000000000",
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),
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concat!(
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"0400000000000000000000000000000000000000000000000000000000000000",
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"0000000000000000000000000000000000000000000000000000000000000000",
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@@ -60,7 +60,7 @@ field!(
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impl Scalar {
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/// Perform a wide reduction to obtain a non-biased Scalar.
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pub fn wide_reduce(bytes: [u8; 114]) -> Scalar {
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Scalar(reduce(U1024::from_le_slice(&[bytes.as_ref(), &[0; 14]].concat())))
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Scalar(Residue::new(&reduce(U1024::from_le_slice(&[bytes.as_ref(), &[0; 14]].concat()))))
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}
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}
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