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Add add-2008-bbjlp for point addition

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Add `add-2008-bbjlp` for point addition

Benchmarks (On a Intel(R) Core(TM) i7-8705G CPU @ 3.10GHz, with 32 GB of RAM):

```
- Old:
BenchmarkBabyjub/AddConst-8              1000000              1072 ns/op
BenchmarkBabyjub/AddRnd-8                  93417             12943 ns/op
BenchmarkBabyjub/MulRnd-8                    252           4797810 ns/op
BenchmarkBabyjub/Compress-8              7291580               166 ns/op
BenchmarkBabyjub/InCurve-8                611137              1999 ns/op
BenchmarkBabyjub/InSubGroup-8             615792              2021 ns/op
BenchmarkBabyjubEddsa/SignMimc7-8            126           9358542 ns/op
BenchmarkBabyjubEddsa/VerifyMimc7-8          124           9484005 ns/op
BenchmarkBabyjubEddsa/SignPoseidon-8                 126           9486484 ns/op
BenchmarkBabyjubEddsa/VerifyPoseidon-8               126           9622807 ns/op

- With new point addition algorithm:
BenchmarkBabyjub/AddConst-8              1356836               881 ns/op
BenchmarkBabyjub/AddRnd-8                 274112              4220 ns/op
BenchmarkBabyjub/MulRnd-8                    492           2474412 ns/op
BenchmarkBabyjub/Compress-8              6964855               197 ns/op
BenchmarkBabyjub/InCurve-8                608169              2008 ns/op
BenchmarkBabyjub/InSubGroup-8             618772              1954 ns/op
BenchmarkBabyjubEddsa/SignMimc7-8            238           4962397 ns/op
BenchmarkBabyjubEddsa/VerifyMimc7-8          235           5234883 ns/op
BenchmarkBabyjubEddsa/SignPoseidon-8                 240           5028720 ns/op
BenchmarkBabyjubEddsa/VerifyPoseidon-8               243           5226654 ns/op
```

Point Addition: ~3x
Point scalar Mul: ~1.9x
Signature (poseidon): ~1.88x
Verification (poseidon): ~1.84x
This commit is contained in:
arnaucube
2020-09-05 16:47:27 +02:00
parent e04ca5764a
commit aab1a681dd
3 changed files with 120 additions and 59 deletions
Download Patch File Download Diff File Expand all files Collapse all files

8
babyjub/eddsa.go
View File

@@ -236,7 +236,9 @@ func (p *PublicKey) VerifyMimc7(msg *big.Int, sig *Signature) bool {
r1 := big.NewInt(8)
r1.Mul(r1, hm)
right := NewPoint().Mul(r1, p.Point())
right.Add(sig.R8, right) // right = 8 * R + 8 * hm * A
rightProj := right.Projective()
rightProj.Add(sig.R8.Projective(), rightProj) // right = 8 * R + 8 * hm * A
right = rightProj.Affine()
return (left.X.Cmp(right.X) == 0) && (left.Y.Cmp(right.Y) == 0)
}
@@ -280,7 +282,9 @@ func (p *PublicKey) VerifyPoseidon(msg *big.Int, sig *Signature) bool {
r1 := big.NewInt(8)
r1.Mul(r1, hm)
right := NewPoint().Mul(r1, p.Point())
right.Add(sig.R8, right) // right = 8 * R + 8 * hm * A
rightProj := right.Projective()
rightProj.Add(sig.R8.Projective(), rightProj) // right = 8 * R + 8 * hm * A
right = rightProj.Affine()
return (left.X.Cmp(right.X) == 0) && (left.Y.Cmp(right.Y) == 0)
}