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use crate::traits::FieldElement;
use crate::representation::IntoWnaf;
#[allow(dead_code)]
pub(crate) fn calculate_wnaf_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();
let mut double = acc.clone();
double.double();
// pushed 1*G, 3*G, 5*G, etc
for _ in 0..(1 << (window - 1)) {
let to_push = acc.clone();
table.push(to_push);
acc.add_assign(&double);
}
table
}
#[allow(dead_code)]
pub(crate) struct WnafBase<F: FieldElement> {
pub bases: Vec<F>,
pub window_size: usize,
zero: F
}
#[allow(dead_code)]
impl<F: FieldElement> WnafBase<F> {
pub fn new(base: &F, zero: F, window: usize, _num_scalars: usize) -> Self {
let recommended_window_size = window; // TODO
let recommended_size_accounding_for_scalars = recommended_window_size;
let bases = calculate_wnaf_table::<F>(base, recommended_size_accounding_for_scalars);
Self {
bases: bases,
window_size: recommended_size_accounding_for_scalars,
zero: zero
}
}
// pub fn exponentiate<W: IntoWnaf>(&self, scalars: &[W]) -> Vec<F> {
// let mut result = vec![];
// for s in scalars.iter() {
// let wnaf = s.wnaf(self.window_size as u32);
// println!("wnaf = {:?}", wnaf);
// let mut res = self.zero.clone();
// let mut found_nonzero = false;
// for w in wnaf.into_iter().rev() {
// if found_nonzero {
// res.double();
// }
// if w != 0 {
// println!("w = {}", w);
// found_nonzero = true;
// if w > 0 {
// let idx = (w >> 1) as usize;
// let base = &(self.bases[idx]);
// res.add_assign(&base);
// } else {
// let idx = ((-w) >> 1) as usize;
// let base = &(self.bases[idx]);
// res.sub_assign(&base);
// }
// }
// }
// result.push(res)
// }
// result
// }
}
impl<'a> IntoWnaf for &'a [u64] {
// impl IntoWnaf for Vec<u64> {
fn wnaf(&self, window: u32) -> Vec<i64> {
fn is_zero(repr: &[u64]) -> bool {
for el in repr.iter() {
if *el != 0 {
return false;
}
}
true
}
fn is_odd(repr: &[u64]) -> bool {
if repr.len() == 0 {
return false;
}
repr[0] & 1u64 == 1u64
}
fn div2(repr: &mut [u64]) {
let mut t = 0;
for i in repr.iter_mut().rev() {
let t2 = *i << 63;
*i >>= 1;
*i |= t;
t = t2;
}
}
fn sub_noborrow(repr: &mut [u64], value: u64) {
let mut borrow = 0;
repr[0] = crate::arithmetics::sbb(repr[0], value, &mut borrow);
for a in repr.iter_mut().skip(1) {
*a = crate::arithmetics::sbb(*a, 0u64, &mut borrow);
}
}
fn add_nocarry(repr: &mut [u64], value: u64) {
let mut carry = 0;
repr[0] = crate::arithmetics::adc(repr[0], value, &mut carry);
for a in repr.iter_mut().skip(1) {
*a = crate::arithmetics::adc(*a, 0u64, &mut carry);
}
}
if self.len() == 0 {
return vec![];
}
let mut res = Vec::with_capacity(self.len() * 64);
let mut e = self.to_vec();
let max = (1 << window) as i64;
let midpoint = (1 << (window - 1)) as i64;
let modulus_mask = ((1 << window) - 1) as u64;
while !is_zero(&e) {
let z: i64;
if is_odd(&e) {
let masked_bits = (e[0] & modulus_mask) as i64;
if masked_bits > midpoint {
z = masked_bits - max;
add_nocarry(&mut e, (-z) as u64);
} else {
z = masked_bits;
sub_noborrow(&mut e, z as u64);
}
} else {
z = 0i64;
}
res.push(z);
div2(&mut e);
}
res
// let window: u64 = window as u64;
// let midpoint: u64 = 1u64 << window;
// let midpoint_i64: i64 = midpoint as i64;
// let mask: u64 = (1u64 << (window + 1u64)) - 1;
// while !is_zero(&e) {
// let z: i64;
// if is_odd(&e) {
// z = midpoint_i64 - ((e[0] & mask) as i64);
// if z >= 0 {
// sub_noborrow(&mut e, z as u64);
// } else {
// add_nocarry(&mut e, (-z) as u64);
// }
// } else {
// z = 0i64;
// }
// res.push(z);
// div2(&mut e);
// }
// res
}
}
#[cfg(test)]
mod tests {
use crate::representation::IntoWnaf;
#[test]
fn test_wnaf_form_calculation() {
let repr = vec![13u64];
// b1101
let res = (&repr[..]).wnaf(3);
println!("{:?}", res);
}
// #[test]
// fn test_correctness_wnaf_mul() {
// use crate::field::{U256Repr, new_field};
// use crate::fp::Fp;
// use crate::traits::{FieldElement};
// use super::WnafBase;
// use crate::traits::ZeroAndOne;
// let field = new_field::<U256Repr>("21888242871839275222246405745257275088696311157297823662689037894645226208583", 10).unwrap();
// let base = Fp::from_repr(&field, U256Repr::from(4)).unwrap();
// let zero = Fp::zero(&field);
// // let scalar = vec![0x43e1f593f0000000,
// // 0x2833e84879b97091,
// // 0xb85045b68181585d,
// // 0x30644e72e131a029];
// let scalar = vec![2u64];
// let naive_result = base.pow(&scalar[..]);
// let wnaf_base = WnafBase::new(&base, zero, 3, 1);
// let mut results = wnaf_base.exponentiate(&vec![&scalar[..]]);
// assert!(results.len() == 1);
// let wnaf_result = results.pop().unwrap();
// assert!(wnaf_result == naive_result);
// }
}