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feat: RPX (xHash12) hash function implementation

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This commit is contained in:
Al-Kindi-0
2023-10-24 11:34:02 +02:00
committed by Bobbin Threadbare
parent f33a982f29
commit 3125144445
20 changed files with 1716 additions and 993 deletions
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214
src/hash/rescue/mds/mod.rs Normal file
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use super::{Felt, STATE_WIDTH, ZERO};
mod freq;
pub use freq::mds_multiply_freq;
// MDS MULTIPLICATION
// ================================================================================================
#[inline(always)]
pub fn apply_mds(state: &mut [Felt; STATE_WIDTH]) {
let mut result = [ZERO; STATE_WIDTH];
// Using the linearity of the operations we can split the state into a low||high decomposition
// and operate on each with no overflow and then combine/reduce the result to a field element.
// The no overflow is guaranteed by the fact that the MDS matrix is a small powers of two in
// frequency domain.
let mut state_l = [0u64; STATE_WIDTH];
let mut state_h = [0u64; STATE_WIDTH];
for r in 0..STATE_WIDTH {
let s = state[r].inner();
state_h[r] = s >> 32;
state_l[r] = (s as u32) as u64;
}
let state_h = mds_multiply_freq(state_h);
let state_l = mds_multiply_freq(state_l);
for r in 0..STATE_WIDTH {
let s = state_l[r] as u128 + ((state_h[r] as u128) << 32);
let s_hi = (s >> 64) as u64;
let s_lo = s as u64;
let z = (s_hi << 32) - s_hi;
let (res, over) = s_lo.overflowing_add(z);
result[r] = Felt::from_mont(res.wrapping_add(0u32.wrapping_sub(over as u32) as u64));
}
*state = result;
}
// MDS MATRIX
// ================================================================================================
/// RPO MDS matrix
pub const MDS: [[Felt; STATE_WIDTH]; STATE_WIDTH] = [
[
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
],
[
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
],
[
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
],
[
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
],
[
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
],
[
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
],
[
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
],
[
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
],
[
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
Felt::new(26),
],
[
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
Felt::new(8),
],
[
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
Felt::new(23),
],
[
Felt::new(23),
Felt::new(8),
Felt::new(26),
Felt::new(13),
Felt::new(10),
Felt::new(9),
Felt::new(7),
Felt::new(6),
Felt::new(22),
Felt::new(21),
Felt::new(8),
Felt::new(7),
],
];