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Bw6-761 optimized Miller loop #155

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Pratyush merged 6 commits into from
Sep 3, 2023
Merged

Bw6-761 optimized Miller loop #155

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9de0f11
Decrease the count of the first loop by 1 to enable re-use of f_{u,Q}(P)
mmagician Mar 11, 2023
6487dd8
Change the count for the second loop to take advantage of factoring
mmagician Mar 11, 2023
1f7d900
Merge branch 'master' into bw6-761-opt
mmagician Sep 1, 2023
71bf5fa
Adapt the parameters for bw6-767 to use optimized algorithm
mmagician Sep 1, 2023
2e6c1e9
Merge branch 'master' into bw6-761-opt
mmagician Sep 2, 2023
fc85b0a
temp switch to bw6-optimization branch on algebra
mmagician Sep 2, 2023
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12 changes: 6 additions & 6 deletions Cargo.toml
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Original file line number Diff line number Diff line change
Expand Up @@ -68,10 +68,10 @@ debug-assertions = true
debug = true

[patch.crates-io]
ark-ff = { git = "https://github.com/arkworks-rs/algebra/" }
ark-ec = { git = "https://github.com/arkworks-rs/algebra/" }
ark-poly = { git = "https://github.com/arkworks-rs/algebra/" }
ark-serialize = { git = "https://github.com/arkworks-rs/algebra/" }
ark-algebra-test-templates = { git = "https://github.com/arkworks-rs/algebra/" }
ark-algebra-bench-templates = { git = "https://github.com/arkworks-rs/algebra/" }
ark-ff = { git = "https://github.com/arkworks-rs/algebra/", branch = "bw6-optimization" }
ark-ec = { git = "https://github.com/arkworks-rs/algebra/", branch = "bw6-optimization" }
ark-poly = { git = "https://github.com/arkworks-rs/algebra/", branch = "bw6-optimization" }
ark-serialize = { git = "https://github.com/arkworks-rs/algebra/", branch = "bw6-optimization" }
ark-algebra-test-templates = { git = "https://github.com/arkworks-rs/algebra/", branch = "bw6-optimization" }
ark-algebra-bench-templates = { git = "https://github.com/arkworks-rs/algebra/", branch = "bw6-optimization" }
ark-r1cs-std = { git = "https://github.com/arkworks-rs/r1cs-std/" }
15 changes: 7 additions & 8 deletions bw6_761/src/curves/mod.rs
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Expand Up @@ -21,20 +21,19 @@ impl BW6Config for Config {
const X: BigInteger = BigInt!("0x8508c00000000001");
/// `x` is positive.
const X_IS_NEGATIVE: bool = false;
// X
const ATE_LOOP_COUNT_1: &'static [u64] = &[0x8508c00000000001];
// (X-1)/3
const X_MINUS_1_DIV_3: BigInteger = BigInt!("0x2c58400000000000");
// X+1
const ATE_LOOP_COUNT_1: &'static [u64] = &[0x8508c00000000002];
const ATE_LOOP_COUNT_1_IS_NEGATIVE: bool = false;
// X^3-X^2-X
// X^2-X-1
const ATE_LOOP_COUNT_2: &'static [i8] = &[
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0,
1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 1,
0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0,
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
0, 1, 0, 1, 0, 0, 0, 1,
];
const ATE_LOOP_COUNT_2_IS_NEGATIVE: bool = false;
const TWIST_TYPE: TwistType = TwistType::M;
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21 changes: 9 additions & 12 deletions bw6_767/src/curves/mod.rs
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Expand Up @@ -19,22 +19,19 @@ impl BW6Config for Config {
// X is the same as in bls12_381
const X: BigInteger = BigInt!("0xd201000000010000");
const X_IS_NEGATIVE: bool = true;
// [(-X)+1]/3, since X < 0
// X
const ATE_LOOP_COUNT_1: &'static [u64] = &[0xd201000000010000];
const X_MINUS_1_DIV_3: BigInteger = BigInt!("0x460055555555aaab");
// -[(-X)+1]
const ATE_LOOP_COUNT_1: &'static [u64] = &[0xd20100000000ffff];
const ATE_LOOP_COUNT_1_IS_NEGATIVE: bool = true;
// -[(-X)^3-(-X)^2-(-X)] in 2-NAF
// X^2-X-1
const ATE_LOOP_COUNT_2: &'static [i8] = &[
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 0, 0, 0, 0, 0, 0, -1,
0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0,
0, 0, 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, 0,
0, 0, 0, 0, -1, 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, 0, 1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, 1,
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 1,
0, 0, 0, -1, 0, -1, 0, -1, 0, 1,
];
const ATE_LOOP_COUNT_2_IS_NEGATIVE: bool = true;
const ATE_LOOP_COUNT_2_IS_NEGATIVE: bool = false;
const TWIST_TYPE: TwistType = TwistType::M;
const H_T: i64 = -4;
const H_Y: i64 = -6;
Expand Down