betrusted-curve25519-dalek-.../src/backend/avx2/scalar_mul/vartime_double_base.rs
Henry de Valence 7e0ddf6b98 Rewrite NAF code to work with more window sizes
Change Scalar::non_adjacent_form() to take a width parameter.

This rewrite also makes it faster, although it's probably a ways off
from optimal. I don't know how much it matters.

TODO: write up description of why this computes the same thing.

Thanks to @oleganza for pointing out an error reading bits across words
in an earlier version of this code.
2018-04-04 21:13:09 -07:00

60 lines
1.6 KiB
Rust

// -*- mode: rust; -*-
//
// This file is part of curve25519-dalek.
// Copyright (c) 2016-2018 Isis Lovecruft, Henry de Valence
// See LICENSE for licensing information.
//
// Authors:
// - Isis Agora Lovecruft <isis@patternsinthevoid.net>
// - Henry de Valence <hdevalence@hdevalence.ca>
#![allow(non_snake_case)]
use traits::Identity;
use scalar::Scalar;
use edwards::EdwardsPoint;
use scalar_mul::window::OddLookupTable;
use backend::avx2::edwards::{CachedPoint, ExtendedPoint};
use backend::avx2::constants::BASEPOINT_ODD_LOOKUP_TABLE;
/// Compute \\(aA + bB\\) in variable time, where \\(B\\) is the Ed25519 basepoint.
pub fn mul(a: &Scalar, A: &EdwardsPoint, b: &Scalar) -> EdwardsPoint {
let a_naf = a.non_adjacent_form(5);
let b_naf = b.non_adjacent_form(5);
// Find starting index
let mut i: usize = 255;
for j in (0..255).rev() {
i = j;
if a_naf[i] != 0 || b_naf[i] != 0 {
break;
}
}
let table_A = OddLookupTable::<CachedPoint>::from(A);
let table_B = &BASEPOINT_ODD_LOOKUP_TABLE;
let mut Q = ExtendedPoint::identity();
loop {
Q = Q.double();
if a_naf[i] > 0 {
Q = &Q + &table_A.select(a_naf[i] as usize);
} else if a_naf[i] < 0 {
Q = &Q - &table_A.select(-a_naf[i] as usize);
}
if b_naf[i] > 0 {
Q = &Q + &table_B.select(b_naf[i] as usize);
} else if b_naf[i] < 0 {
Q = &Q - &table_B.select(-b_naf[i] as usize);
}
if i == 0 {
break;
}
i -= 1;
}
Q.into()
}