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// Copyright (C) 2019-2023 Aleo Systems Inc.
// This file is part of the snarkVM library.
// The snarkVM library is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
// The snarkVM library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with the snarkVM library. If not, see <https://www.gnu.org/licenses/>.
#![allow(dead_code)]
use crate::{FieldParameters, PrimeField};
use snarkvm_utilities::{vec::Vec, FromBits};
use anyhow::{bail, Result};
pub struct PoseidonGrainLFSR {
pub field_size_in_bits: u64,
pub state: [bool; 80],
pub head: usize,
}
impl PoseidonGrainLFSR {
pub fn new(
is_sbox_an_inverse: bool,
field_size_in_bits: u64,
state_len: u64,
num_full_rounds: u64,
num_partial_rounds: u64,
) -> Self {
let mut state = [false; 80];
// b0, b1 describes the field
state[1] = true;
// b2, ..., b5 describes the S-BOX
if is_sbox_an_inverse {
state[5] = true;
} else {
state[5] = false;
}
// b6, ..., b17 are the binary representation of n (prime_num_bits)
{
let mut cur = field_size_in_bits;
for i in (6..=17).rev() {
state[i] = cur & 1 == 1;
cur >>= 1;
}
}
// b18, ..., b29 are the binary representation of t (state_len, rate + capacity)
{
let mut cur = state_len;
for i in (18..=29).rev() {
state[i] = cur & 1 == 1;
cur >>= 1;
}
}
// b30, ..., b39 are the binary representation of R_F (the number of full rounds)
{
let mut cur = num_full_rounds;
for i in (30..=39).rev() {
state[i] = cur & 1 == 1;
cur >>= 1;
}
}
// b40, ..., b49 are the binary representation of R_P (the number of partial rounds)
{
let mut cur = num_partial_rounds;
for i in (40..=49).rev() {
state[i] = cur & 1 == 1;
cur >>= 1;
}
}
#[allow(clippy::needless_range_loop)]
// b50, ..., b79 are set to 1
for i in 50..=79 {
state[i] = true;
}
// Initialize.
let mut res = Self { field_size_in_bits, state, head: 0 };
for _ in 0..160 {
res.next_bit();
}
res
}
pub fn get_field_elements_rejection_sampling<F: PrimeField>(&mut self, num_elements: usize) -> Result<Vec<F>> {
// Ensure the number of bits matches the modulus.
if self.field_size_in_bits != F::Parameters::MODULUS_BITS as u64 {
bail!("The number of bits in the field must match the modulus");
}
let mut output = Vec::with_capacity(num_elements);
let mut bits = Vec::with_capacity(self.field_size_in_bits as usize);
for _ in 0..num_elements {
// Perform rejection sampling.
loop {
// Obtain `n` bits and make it most-significant-bit first.
bits.extend(self.get_bits(self.field_size_in_bits as usize));
bits.reverse();
// Construct the number.
let bigint = F::BigInteger::from_bits_le(&bits)?;
bits.clear();
// Ensure the number is in the field.
if let Some(element) = F::from_bigint(bigint) {
output.push(element);
break;
}
}
}
Ok(output)
}
pub fn get_field_elements_mod_p<F: PrimeField>(&mut self, num_elems: usize) -> Result<Vec<F>> {
// Ensure the number of bits matches the modulus.
if self.field_size_in_bits != F::Parameters::MODULUS_BITS as u64 {
bail!("The number of bits in the field must match the modulus");
}
let mut output = Vec::with_capacity(num_elems);
for _ in 0..num_elems {
// Obtain `n` bits and make it most-significant-bit first.
let mut bits = self.get_bits(self.field_size_in_bits as usize).collect::<Vec<_>>();
bits.reverse();
let bytes = bits
.chunks(8)
.map(|chunk| {
let mut sum = chunk[0] as u8;
let mut cur = 1;
for i in chunk.iter().skip(1) {
cur *= 2;
sum += cur * (*i as u8);
}
sum
})
.rev()
.collect::<Vec<u8>>();
output.push(F::from_bytes_be_mod_order(&bytes));
}
Ok(output)
}
}
impl PoseidonGrainLFSR {
#[inline]
fn get_bits(&mut self, num_bits: usize) -> LFSRIter<'_> {
LFSRIter { lfsr: self, num_bits, current_bit: 0 }
}
#[inline]
fn next_bit(&mut self) -> bool {
let next_bit = self.state[(self.head + 62) % 80]
^ self.state[(self.head + 51) % 80]
^ self.state[(self.head + 38) % 80]
^ self.state[(self.head + 23) % 80]
^ self.state[(self.head + 13) % 80]
^ self.state[self.head];
self.state[self.head] = next_bit;
self.head += 1;
self.head %= 80;
next_bit
}
}
pub struct LFSRIter<'a> {
lfsr: &'a mut PoseidonGrainLFSR,
num_bits: usize,
current_bit: usize,
}
impl<'a> Iterator for LFSRIter<'a> {
type Item = bool;
fn next(&mut self) -> Option<Self::Item> {
if self.current_bit < self.num_bits {
// Obtain the first bit
let mut new_bit = self.lfsr.next_bit();
// Loop until the first bit is true
while !new_bit {
// Discard the second bit
let _ = self.lfsr.next_bit();
// Obtain another first bit
new_bit = self.lfsr.next_bit();
}
self.current_bit += 1;
// Obtain the second bit
Some(self.lfsr.next_bit())
} else {
None
}
}
}