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Replace `ATE_LOOP_COUNT` with its 2-NAF for MNT curves (#107) 

* Replace ATE_LOOP_COUNT by its 2-NAF

* Add constant references

* Apply suggestions from code review

Co-authored-by: Weikeng Chen <w.k@berkeley.edu>
cherry-pick
mmagician 2 years ago
committed by GitHub
parent
b433045f4d
commit
42289245a6
No known key found for this signature in database GPG Key ID: 4AEE18F83AFDEB23
4 changed files with 49 additions and 16 deletions
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  1. +9
    -1
      mnt4_298/src/curves/mod.rs
  2. +15
    -7
      mnt4_753/src/curves/mod.rs
  3. +10
    -1
      mnt6_298/src/curves/mod.rs
  4. +15
    -7
      mnt6_753/src/curves/mod.rs

+ 9
- 1
mnt4_298/src/curves/mod.rs
View File

@ -28,7 +28,15 @@ impl MNT4Parameters for Parameters {
// ```
const TWIST_COEFF_A: Fq2 = Fq2::new(G1_COEFF_A_NON_RESIDUE, Fq::ZERO);
const ATE_LOOP_COUNT: &'static [u64] = &[993502997770534912, 5071219579242586943, 2027349];
// https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt4_80.ml#L88
const ATE_LOOP_COUNT: &'static [i8] = &[
1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1,
0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 0,
0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1,
0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1,
0, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0,
];
const ATE_IS_LOOP_COUNT_NEG: bool = false;
const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger320 = BigInt::new([0x1, 0x0, 0x0, 0x0, 0x0]);
const FINAL_EXPONENT_LAST_CHUNK_W0_IS_NEG: bool = false;

+ 15
- 7
mnt4_753/src/curves/mod.rs
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@ -31,13 +31,21 @@ impl MNT4Parameters for Parameters {
// ```
const TWIST_COEFF_A: Fp2<Self::Fp2Config> = Fp2::new(G1_COEFF_A_NON_RESIDUE, Fq::ZERO);
// https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt4753.ml
const ATE_LOOP_COUNT: &'static [u64] = &[
8824542903220142080,
7711082599397206192,
8303354903384568230,
5874150271971943936,
9717849827920685054,
95829799234282493,
const ATE_LOOP_COUNT: &'static [i8] = &[
1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0,
-1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1,
0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0,
0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1,
0, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1,
0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0,
-1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
-1, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0,
0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 1,
0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0,
0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0,
];
const ATE_IS_LOOP_COUNT_NEG: bool = true;
const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger768 =

+ 10
- 1
mnt6_298/src/curves/mod.rs
View File

@ -25,7 +25,16 @@ impl MNT6Parameters for Parameters {
const TWIST: Fp3<Self::Fp3Config> = Fp3::<Self::Fp3Config>::new(Fq::ZERO, Fq::ONE, Fq::ZERO);
const TWIST_COEFF_A: Fp3<Self::Fp3Config> =
Fp3::<Self::Fp3Config>::new(Fq::ZERO, Fq::ZERO, g1::Parameters::COEFF_A);
const ATE_LOOP_COUNT: &'static [u64] = &[0xdc9a1b671660000, 0x46609756bec2a33f, 0x1eef55];
// https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt4_80.ml#L88
const ATE_LOOP_COUNT: &'static [i8] = &[
1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1,
0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 0,
0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1,
0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1,
0, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0,
];
const ATE_IS_LOOP_COUNT_NEG: bool = true;
const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger320 = BigInt::new([0x1, 0x0, 0x0, 0x0, 0x0]);
const FINAL_EXPONENT_LAST_CHUNK_W0_IS_NEG: bool = true;

+ 15
- 7
mnt6_753/src/curves/mod.rs
View File

@ -33,13 +33,21 @@ impl MNT6Parameters for Parameters {
Fp3::new(Fq::ZERO, Fq::ZERO, g1::Parameters::COEFF_A);
// https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt6753.ml
const ATE_LOOP_COUNT: &'static [u64] = &[
8824542903220142080,
7711082599397206192,
8303354903384568230,
5874150271971943936,
9717849827920685054,
95829799234282493,
const ATE_LOOP_COUNT: &'static [i8] = &[
1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0,
-1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1,
0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0,
0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1,
0, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1,
0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0,
-1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
-1, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0,
0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 1,
0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0,
0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0,
];
const ATE_IS_LOOP_COUNT_NEG: bool = false;
const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger768 =

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