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Achieves feasible performance in the ed448 which makes it potentially viable for real world usage. Accordingly prepares a new release, updating the README.
67 lines
1.9 KiB
Rust
67 lines
1.9 KiB
Rust
use zeroize::Zeroize;
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use crypto_bigint::{U512, U1024};
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/// Ed448 field element.
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#[derive(Clone, Copy, PartialEq, Eq, Default, Debug, Zeroize)]
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pub struct FieldElement(pub(crate) U512);
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const MODULUS_PADDED_STR: &str = concat!(
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"00000000000000",
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"00",
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"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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);
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const MODULUS_STR: &str = concat!(
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"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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);
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// 2**448 - 2**224 - 1
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pub(crate) const MODULUS: FieldElement = FieldElement(U512::from_be_hex(concat!(
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"00000000000000",
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"00",
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"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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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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"0000000000000000000000000000000000000000000000000000000000000000",
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"00000000000000",
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"00",
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"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
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));
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pub(crate) const Q_4: FieldElement =
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FieldElement(MODULUS.0.saturating_add(&U512::ONE).wrapping_div(&U512::from_u8(4)));
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field!(
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FieldElement,
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MODULUS_PADDED_STR,
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MODULUS_STR,
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MODULUS,
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WIDE_MODULUS,
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448,
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concat!(
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"00000000000000000000000000000000000000000000000000000080ffffffff",
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"ffffffffffffffffffffffffffffffffffffffffffffff7f0000000000000000",
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),
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7,
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concat!(
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"fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffff",
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"ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000",
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),
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concat!(
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"3100000000000000000000000000000000000000000000000000000000000000",
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"0000000000000000000000000000000000000000000000000000000000000000",
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),
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);
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#[test]
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fn test_field() {
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ff_group_tests::prime_field::test_prime_field_bits::<_, FieldElement>(&mut rand_core::OsRng);
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}
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