62 lines
1.7 KiB
Rust
62 lines
1.7 KiB
Rust
// -*- mode: rust; -*-
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//
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// This file is part of curve25519-dalek.
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// Copyright (c) 2016-2019 Isis Lovecruft, Henry de Valence
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// See LICENSE for licensing information.
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//
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// Authors:
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// - Isis Agora Lovecruft <isis@patternsinthevoid.net>
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// - Henry de Valence <hdevalence@hdevalence.ca>
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#![allow(non_snake_case)]
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use constants;
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use traits::Identity;
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use scalar::Scalar;
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use edwards::EdwardsPoint;
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use backend::serial::curve_models::{ProjectiveNielsPoint, ProjectivePoint};
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use window::NafLookupTable5;
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/// Compute \\(aA + bB\\) in variable time, where \\(B\\) is the Ed25519 basepoint.
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pub fn mul(a: &Scalar, A: &EdwardsPoint, b: &Scalar) -> EdwardsPoint {
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let a_naf = a.non_adjacent_form(5);
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let b_naf = b.non_adjacent_form(8);
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// Find starting index
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let mut i: usize = 255;
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for j in (0..256).rev() {
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i = j;
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if a_naf[i] != 0 || b_naf[i] != 0 {
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break;
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}
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}
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let table_A = NafLookupTable5::<ProjectiveNielsPoint>::from(A);
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let table_B = &constants::AFFINE_ODD_MULTIPLES_OF_BASEPOINT;
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let mut r = ProjectivePoint::identity();
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loop {
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let mut t = r.double();
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if a_naf[i] > 0 {
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t = &t.to_extended() + &table_A.select(a_naf[i] as usize);
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} else if a_naf[i] < 0 {
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t = &t.to_extended() - &table_A.select(-a_naf[i] as usize);
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}
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if b_naf[i] > 0 {
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t = &t.to_extended() + &table_B.select(b_naf[i] as usize);
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} else if b_naf[i] < 0 {
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t = &t.to_extended() - &table_B.select(-b_naf[i] as usize);
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}
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r = t.to_projective();
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if i == 0 {
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break;
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}
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i -= 1;
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}
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r.to_extended()
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}
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