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use crate::traits::FieldElement;
use crate::traits::LsbBitIterator;
#[allow(dead_code)]
pub(crate) fn calculate_window_table<F: FieldElement>(base: &F, window: usize) -> Vec<F> {
let mut table: Vec<F> = vec![];
table.reserve(1 << (window - 1));
let mut acc = base.clone();
table.push(acc.clone());
let mut square = acc.clone();
square.square();
for _ in 1..(1 << (window - 1)) {
acc.mul_assign(&square);
table.push(acc.clone());
}
table
}
#[allow(dead_code)]
pub(crate) struct WindowExpBase<F: FieldElement> {
pub bases: Vec<F>,
pub window_size: usize,
one: F
}
#[allow(dead_code)]
impl<F: FieldElement> WindowExpBase<F> {
pub fn new(base: &F, one: F, window: usize, _num_scalars: usize) -> Self {
let recommended_window_size = window;
let recommended_size_accounding_for_scalars = recommended_window_size;
let bases = calculate_window_table::<F>(base, recommended_size_accounding_for_scalars);
Self {
bases: bases,
window_size: recommended_size_accounding_for_scalars,
one: one
}
}
pub fn exponentiate<W: IntoWindows>(&self, scalars: &[W]) -> Vec<F> {
let mut result = Vec::with_capacity(scalars.len());
for s in scalars.iter() {
let wnaf = s.windows(self.window_size as u32);
let mut res = self.one.clone();
let mut found_nonzero = false;
for w in wnaf.into_iter().rev() {
if w == 0 && found_nonzero {
res.square();
} else if w != 0 {
found_nonzero = true;
for _ in 0..self.window_size {
res.square();
}
let idx = (w >> 1) as usize;
let base = &(self.bases[idx]);
res.mul_assign(&base);
}
}
result.push(res)
}
result
}
}
pub trait IntoWindows {
fn windows(&self, window: u32) -> Vec<u64>;
}
impl IntoWindows for Vec<u64> {
fn windows(&self, window: u32) -> Vec<u64> {
let mut result = vec![];
let mut found_begining = false;
let mut w = 0u64;
let mut bit_count = 0u64;
let iter = LsbBitIterator::new(&self);
for b in iter.into_iter() {
if b {
if found_begining {
w |= 1u64 << bit_count;
bit_count += 1;
} else {
found_begining = true;
w |= 1u64 << bit_count;
bit_count += 1;
}
} else {
if found_begining {
bit_count += 1;
} else {
result.push(0u64);
continue;
}
}
if found_begining && bit_count == (window as u64) {
result.push(w);
w = 0u64;
found_begining = false;
bit_count = 0u64;
}
}
if w != 0 {
result.push(w);
}
for _ in 0..result.len() {
if let Some(v) = result.pop() {
if v == 0 {
continue;
} else {
result.push(v);
break;
}
}
}
result
}
}
#[cfg(test)]
mod tests {
use super::IntoWindows;
#[test]
fn test_into_windows() {
let repr = vec![13u64];
let res = repr.windows(3);
println!("{:?}", res);
}
#[test]
fn test_windowed_exp() {
use crate::field::{U256Repr, new_field};
use crate::fp::Fp;
use crate::traits::{FieldElement, ZeroAndOne};
use super::WindowExpBase;
let field = new_field::<U256Repr>("21888242871839275222246405745257275088696311157297823662689037894645226208583", 10).unwrap();
let base = Fp::from_repr(&field, U256Repr::from(2)).unwrap();
let one = Fp::one(&field);
let scalar = vec![0x43e1f593f0000000,
0x2833e84879b97091,
0xb85045b68181585d,
0x30644e72e131a029];
let mut square = base.clone();
square.square();
let mut cube = base.clone();
cube.mul_assign(&square);
let mut fifth = cube.clone();
fifth.mul_assign(&square);
let naive_result = base.pow(&scalar[..]);
let exp_base = WindowExpBase::new(&base, one, 3, 1);
assert!(exp_base.bases[0] == base);
assert!(exp_base.bases[1] == cube);
assert!(exp_base.bases[2] == fifth);
let mut results = exp_base.exponentiate(&vec![scalar]);
assert!(results.len() == 1);
let w_result = results.pop().unwrap();
assert!(w_result == naive_result);
}
}