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Endomorphism acceleration for BN254-Nogami (#102)

This commit is contained in:
Mamy Ratsimbazafy 2020-10-10 18:53:48 +02:00 committed by GitHub
parent a2f46f77b7
commit 6530596032
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10 changed files with 1587 additions and 6 deletions
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2
benchmarks/bench_ec_g1.nim
View File

@ -32,7 +32,7 @@ const Iters = 10_000
const MulIters = 100
const AvailableCurves = [
# P224,
# BN254_Nogami,
BN254_Nogami,
BN254_Snarks,
# Curve25519,
# P256,

2
benchmarks/bench_ec_g2.nim
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@ -33,7 +33,7 @@ const Iters = 10_000
const MulIters = 500
const AvailableCurves = [
# P224,
# BN254_Nogami,
BN254_Nogami,
BN254_Snarks,
# Curve25519,
# P256,

2
benchmarks/bench_elliptic_template.nim
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@ -175,7 +175,7 @@ proc scalarMulGenericBench*(T: typedesc, window: static int, iters: int) =
let exponent = rng.random_unsafe(BigInt[bits])
bench("EC ScalarMul " & $bits & "-bit Generic " & G1_or_G2 & " (window = " & $window & ')', T, iters):
bench("EC ScalarMul " & $bits & "-bit " & G1_or_G2 & " (window-" & $window & ", generic)", T, iters):
r = P
r.scalarMulGeneric(exponent, window)

1
constantine.nimble
View File

@ -114,6 +114,7 @@ const testDesc: seq[tuple[path: string, useGMP: bool]] = @[
# Elliptic curve arithmetic vs Sagemath
("tests/t_ec_frobenius.nim", false),
("tests/t_ec_sage_bn254_nogami.nim", false),
("tests/t_ec_sage_bn254_snarks.nim", false),
("tests/t_ec_sage_bls12_377.nim", false),
("tests/t_ec_sage_bls12_381.nim", false),

63
constantine/curves/bn254_nogami_glv.nim Normal file
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@ -0,0 +1,63 @@
# Constantine
# Copyright (c) 2018-2019 Status Research & Development GmbH
# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
# Licensed and distributed under either of
# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
# at your option. This file may not be copied, modified, or distributed except according to those terms.
import
../config/[curves, type_bigint, type_fp],
../io/[io_bigints, io_fields]
# BN254_Nogami G1
# ------------------------------------------------------------
const BN254_Nogami_cubicRootOfUnity_mod_p* =
Fp[BN254_Nogami].fromHex"0x25236482400000017080eb4000000006181800000000000cd98000000000000b"
const BN254_Nogami_Lattice_G1* = (
# (BigInt, isNeg)
((BigInt[127].fromHex"0x61818000000000020400000000000003", true),
(BigInt[64].fromHex"0x8100000000000001", false)),
((BigInt[64].fromHex"0x8100000000000001", false),
(BigInt[127].fromHex"0x61818000000000028500000000000004", false))
)
const BN254_Nogami_Babai_G1* = (
# (BigInt, isNeg)
(BigInt[130].fromHex"0x2a01fab7e04a017bd3a22fc67c12a7c5c", true),
(BigInt[66].fromHex"0x37937ca688a6b4904", false)
)
# BN254_Nogami G2
# ------------------------------------------------------------
const BN254_Nogami_Lattice_G2* = (
# (BigInt, isNeg)
((BigInt[64].fromHex"0x8100000000000001", false),
(BigInt[63].fromHex"0x4080000000000001", true),
(BigInt[63].fromHex"0x4080000000000000", true),
(BigInt[63].fromHex"0x4080000000000001", true)),
((BigInt[63].fromHex"0x4080000000000000", false),
(BigInt[63].fromHex"0x4080000000000001", false),
(BigInt[63].fromHex"0x4080000000000001", false),
(BigInt[64].fromHex"0x8100000000000002", true)),
((BigInt[63].fromHex"0x4080000000000001", true),
(BigInt[63].fromHex"0x4080000000000001", false),
(BigInt[63].fromHex"0x4080000000000001", true),
(BigInt[64].fromHex"0x8100000000000001", true)),
((BigInt[64].fromHex"0x8100000000000002", false),
(BigInt[63].fromHex"0x4080000000000000", false),
(BigInt[63].fromHex"0x4080000000000001", true),
(BigInt[63].fromHex"0x4080000000000001", false))
)
const BN254_Nogami_Babai_G2* = (
# (BigInt, isNeg)
(BigInt[192].fromHex"0xa957fab5402a55fc0d305f177b0b3c3e78cd599c2aa84979", false),
(BigInt[192].fromHex"0xa957fab5402a55fc0d305f177b0b3c43aea10938fa493703", false),
(BigInt[192].fromHex"0xa957fab5402a55fc0d305f177b0b3c4035693ed06fddedfe", true),
(BigInt[192].fromHex"0xa957fab5402a55fead500a957fab53fbb2f05603ebd2c5d5", false)
)

10
constantine/curves/zoo_glv.nim
View File

@ -12,7 +12,7 @@ import
../towers,
./bls12_377_glv,
./bls12_381_glv,
# ./bn254_nogami_glv,
./bn254_nogami_glv,
./bn254_snarks_glv
{.experimental: "dynamicBindSym".}
@ -35,3 +35,11 @@ template lattice*(F: typedesc[Fp or Fp2]): untyped =
macro getCubicRootOfUnity_mod_p*(C: static Curve): untyped =
## Get a non-trivial cubic root of unity (mod p) with p the prime field
result = bindSym($C & "_cubicRootOfUnity_mod_p")
func hasEndomorphismAcceleration*(C: static Curve): bool =
C in {
BN254_Nogami,
BN254_Snarks,
BLS12_377,
BLS12_381
}

5
constantine/elliptic/ec_scalar_mul.nim
View File

@ -12,6 +12,7 @@ import
../arithmetic,
../towers,
../io/io_bigints,
../curves/zoo_glv,
./ec_endomorphism_accel
# ############################################################
@ -238,9 +239,9 @@ func scalarMul*[EC](
## Endomorphism acceleration requires:
## - Cofactor to be cleared
## - 0 <= scalar < curve order
## this will not automatically
## Those will be assumed to maintain constant-time property
when BigInt.bits <= EC.F.C.getCurveOrderBitwidth() and
EC.F.C in {BN254_Snarks, BLS12_377, BLS12_381}:
EC.F.C.hasEndomorphismAcceleration():
when EC.F is Fp:
P.scalarMulGLV_m2w2(scalar)
elif EC.F is Fp2:

36
tests/t_ec_sage_bn254_nogami.nim Normal file
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@ -0,0 +1,36 @@
# Constantine
# Copyright (c) 2018-2019 Status Research & Development GmbH
# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
# Licensed and distributed under either of
# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
# at your option. This file may not be copied, modified, or distributed except according to those terms.
import
# Internals
../constantine/config/[type_fp, curves],
../constantine/towers,
../constantine/elliptic/ec_shortweierstrass_jacobian,
../constantine/elliptic/ec_shortweierstrass_projective,
# Test utilities
./t_ec_sage_template
run_scalar_mul_test_vs_sage(
ECP_ShortW_Proj[Fp[BN254_Nogami], NotOnTwist],
"t_ec_sage_bn254_nogami_g1_projective"
)
run_scalar_mul_test_vs_sage(
ECP_ShortW_Jac[Fp[BN254_Nogami], NotOnTwist],
"t_ec_sage_bn254_nogami_g1_jacobian"
)
run_scalar_mul_test_vs_sage(
ECP_ShortW_Proj[Fp2[BN254_Nogami], OnTwist],
"t_ec_sage_bn254_nogami_g2_projective"
)
run_scalar_mul_test_vs_sage(
ECP_ShortW_Jac[Fp2[BN254_Nogami], OnTwist],
"t_ec_sage_bn254_nogami_g2_jacobian"
)

492
tests/vectors/tv_BN254_Nogami_scalar_mul_G1.json Normal file
View File

@ -0,0 +1,492 @@
{
"curve": "BN254_Nogami",
"group": "G1",
"modulus": "0x2523648240000001ba344d80000000086121000000000013a700000000000013",
"order": "0x2523648240000001ba344d8000000007ff9f800000000010a10000000000000d",
"cofactor": "0x1",
"form": "short_weierstrass",
"a": "0x0",
"b": "0x2",
"vectors": [
{
"id": 0,
"P": {
"x": "0xe08a292f940cfb361cc82bc24ca564f51453708c9745a9cf8707b11c84bc448",
"y": "0x1fc4e075b4ed6426cbec03997d19d24916de06d962498d6de12cf60e8636e047"
},
"scalar": "0x20025a0c74b9e838a55061e47b889f590ab06860ea8ec5bc21fe0ca80f7f29a9",
"Q": {
"x": "0x980b5af72bfa4a0eef02c170031cf8fc315a9cba4c9c54339b7a210e4707d1e",
"y": "0x284c4861c0234ec9282ee3b00ef16586d5c67a84219294a16f747007acfb619"
}
},
{
"id": 1,
"P": {
"x": "0x39bc19c41835082f86ca046b71875b051575072e4d6a4aeedac31eee34b07df",
"y": "0x2cc399530f3a93af016d1d26e5044a083d9dc9da040252589685761ba843d30"
},
"scalar": "0x157a3e1ff9dabccced9746e19855a9438098be6d734f07d1c069aa1bd05b8d87",
"Q": {
"x": "0x1861e042361fdfef752daf293796c240f65ab237c007791e215aa1e9a5079f4c",
"y": "0xe2c33eb15582fe270ccf74c63eb8b5024228a74fa684f7708e2095020e179cc"
}
},
{
"id": 2,
"P": {
"x": "0xdf2ff288f44313dc9ddb54de269c6424aaf7164dc5e67917066ea5dfa0d0f1e",
"y": "0x5410ad2d4b58704f7e5cf88690cfbc779d3053803aea566a0f9e3a2ecf2bd52"
},
"scalar": "0x273bf6c679d8e880034590d16c007bbabc6c65ed870a263b5d1ce7375c18fd7",
"Q": {
"x": "0x47c572da2d5689e2fa67e9407cff8009aead7b29244d721eb93a78efa2941",
"y": "0x1c7083e1ab7eada5b4546ef603af5e8dcb3cd3e345fcdd1558c5929159a3da27"
}
},
{
"id": 3,
"P": {
"x": "0x1cefe2112033a045a3faee0337fb38c77f24290262dd9ba8d79eb280e2f9d32a",
"y": "0x665b74188d4c06e1050cbb7aa438f6aa46cd482a445b3a91a1b1c8f08b4d662"
},
"scalar": "0x235e630485f974edbbd138e9079eb54d06d03a50228dbdfdbaa567b1fae19f82",
"Q": {
"x": "0x529bc0e057a0ef87990e6106846ffa208d23eefdece1f57b5844d63b8f1958d",
"y": "0x1e8bb860c4e7cbe8797185902ad7bc0b58d1e2670b59ad7e28b755387206464f"
}
},
{
"id": 4,
"P": {
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"y": "0xcb0c12d9ce7a415bc1c55879a54ca7c620f80f0e6d37e3eb0180629202a39f2"
},
"scalar": "0x3845ad0148f76bdf14f752268eafb065c7272721784a8c6bd3a5fa736332b94",
"Q": {
"x": "0x50a411c760331eec7b1df6a314773af471ae8605de42a576ce56a376aa4b454",
"y": "0x21f8017c6aa00425971a073ed49f398c7b99e15498ab4d0415cabd833fd44755"
}
},
{
"id": 5,
"P": {
"x": "0x1323cb93cf5f33ebf21d2c0ba56e1c39fd0e75b1623d3ab160fed44a37ee1bda",
"y": "0x12560d91f79f79c618ed649c877c817541fe1d2fe0ef4bfd4fcbd35c93617f5b"
},
"scalar": "0x252f232224ad7d89266c28d1289098f03226fa84e7905b0df4e1f6cc4e2e897",
"Q": {
"x": "0x157f2decb5edaebb2adff666fe4d7e5d4286b5126f4ea301ba3cb7e332ca7ced",
"y": "0x23c1a82e2fce0c3bb24bc6464d10124ca76c7424a5a845d361ae4d8c5be5d2e7"
}
},
{
"id": 6,
"P": {
"x": "0x3a7e0e36a933e9ad5732235e93cec84ae8db3104348bf24312ffcdf8e0e78a9",
"y": "0x145e2d9789d0b912bc27bacfa11940af58861be1583031a1d0fd2fdaacd65c04"
},
"scalar": "0x175ed37fdee061c78e28d668a26add87007ab0d11ad699cba0cb13ae35b8215b",
"Q": {
"x": "0xed7ee0ade320865d11c844ad125d5c776d3d6f4424d4e95ab40258062e7b0c5",
"y": "0x3fe36be38d5bbd918c9859b66ea6da7d6a7a0020c76cd5c46363c5926007399"
}
},
{
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"y": "0x12ee0bfb064fd1cf6b76735331156f34615b10a9b494fc96159741f3015a529b"
},
"scalar": "0x26e5ca7f4b418fc9eb7d7b7f44ed1c4357fa71695ad59299d4404c55a295d64",
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},
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}
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},
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}
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},
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"Q": {
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"Q": {
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}

980
tests/vectors/tv_BN254_Nogami_scalar_mul_G2.json Normal file
View File

@ -0,0 +1,980 @@
{
"curve": "BN254_Nogami",
"group": "G2",
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"twist": "D_Twist",
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