Endomorphism acceleration for BN254-Nogami (#102)
This commit is contained in:
Mamy Ratsimbazafy
GitHub
parent
a2f46f77b7
commit
6530596032
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@ -32,7 +32,7 @@ const Iters = 10_000
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const MulIters = 100
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const MulIters = 100
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const AvailableCurves = [
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const AvailableCurves = [
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# P224,
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# P224,
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# BN254_Nogami,
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BN254_Nogami,
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BN254_Snarks,
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BN254_Snarks,
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# Curve25519,
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# Curve25519,
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# P256,
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# P256,
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@ -33,7 +33,7 @@ const Iters = 10_000
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const MulIters = 500
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const MulIters = 500
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const AvailableCurves = [
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const AvailableCurves = [
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# P224,
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# P224,
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# BN254_Nogami,
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BN254_Nogami,
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BN254_Snarks,
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BN254_Snarks,
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# Curve25519,
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# Curve25519,
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# P256,
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# P256,
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@ -175,7 +175,7 @@ proc scalarMulGenericBench*(T: typedesc, window: static int, iters: int) =
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let exponent = rng.random_unsafe(BigInt[bits])
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let exponent = rng.random_unsafe(BigInt[bits])
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bench("EC ScalarMul " & $bits & "-bit Generic " & G1_or_G2 & " (window = " & $window & ')', T, iters):
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bench("EC ScalarMul " & $bits & "-bit " & G1_or_G2 & " (window-" & $window & ", generic)", T, iters):
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r = P
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r = P
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r.scalarMulGeneric(exponent, window)
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r.scalarMulGeneric(exponent, window)
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@ -114,6 +114,7 @@ const testDesc: seq[tuple[path: string, useGMP: bool]] = @[
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# Elliptic curve arithmetic vs Sagemath
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# Elliptic curve arithmetic vs Sagemath
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("tests/t_ec_frobenius.nim", false),
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("tests/t_ec_frobenius.nim", false),
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("tests/t_ec_sage_bn254_nogami.nim", false),
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("tests/t_ec_sage_bn254_snarks.nim", false),
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("tests/t_ec_sage_bn254_snarks.nim", false),
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("tests/t_ec_sage_bls12_377.nim", false),
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("tests/t_ec_sage_bls12_377.nim", false),
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("tests/t_ec_sage_bls12_381.nim", false),
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("tests/t_ec_sage_bls12_381.nim", false),
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@ -0,0 +1,63 @@
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# Constantine
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# Copyright (c) 2018-2019 Status Research & Development GmbH
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# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
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# Licensed and distributed under either of
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# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import
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../config/[curves, type_bigint, type_fp],
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../io/[io_bigints, io_fields]
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# BN254_Nogami G1
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# ------------------------------------------------------------
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const BN254_Nogami_cubicRootOfUnity_mod_p* =
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Fp[BN254_Nogami].fromHex"0x25236482400000017080eb4000000006181800000000000cd98000000000000b"
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const BN254_Nogami_Lattice_G1* = (
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# (BigInt, isNeg)
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((BigInt[127].fromHex"0x61818000000000020400000000000003", true),
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(BigInt[64].fromHex"0x8100000000000001", false)),
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((BigInt[64].fromHex"0x8100000000000001", false),
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(BigInt[127].fromHex"0x61818000000000028500000000000004", false))
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)
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const BN254_Nogami_Babai_G1* = (
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# (BigInt, isNeg)
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(BigInt[130].fromHex"0x2a01fab7e04a017bd3a22fc67c12a7c5c", true),
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(BigInt[66].fromHex"0x37937ca688a6b4904", false)
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)
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# BN254_Nogami G2
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# ------------------------------------------------------------
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const BN254_Nogami_Lattice_G2* = (
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# (BigInt, isNeg)
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((BigInt[64].fromHex"0x8100000000000001", false),
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(BigInt[63].fromHex"0x4080000000000001", true),
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(BigInt[63].fromHex"0x4080000000000000", true),
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(BigInt[63].fromHex"0x4080000000000001", true)),
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((BigInt[63].fromHex"0x4080000000000000", false),
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(BigInt[63].fromHex"0x4080000000000001", false),
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(BigInt[63].fromHex"0x4080000000000001", false),
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(BigInt[64].fromHex"0x8100000000000002", true)),
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((BigInt[63].fromHex"0x4080000000000001", true),
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(BigInt[63].fromHex"0x4080000000000001", false),
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(BigInt[63].fromHex"0x4080000000000001", true),
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(BigInt[64].fromHex"0x8100000000000001", true)),
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((BigInt[64].fromHex"0x8100000000000002", false),
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(BigInt[63].fromHex"0x4080000000000000", false),
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(BigInt[63].fromHex"0x4080000000000001", true),
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(BigInt[63].fromHex"0x4080000000000001", false))
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)
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const BN254_Nogami_Babai_G2* = (
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# (BigInt, isNeg)
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(BigInt[192].fromHex"0xa957fab5402a55fc0d305f177b0b3c3e78cd599c2aa84979", false),
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(BigInt[192].fromHex"0xa957fab5402a55fc0d305f177b0b3c43aea10938fa493703", false),
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(BigInt[192].fromHex"0xa957fab5402a55fc0d305f177b0b3c4035693ed06fddedfe", true),
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(BigInt[192].fromHex"0xa957fab5402a55fead500a957fab53fbb2f05603ebd2c5d5", false)
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)
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@ -12,7 +12,7 @@ import
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../towers,
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../towers,
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./bls12_377_glv,
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./bls12_377_glv,
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./bls12_381_glv,
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./bls12_381_glv,
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# ./bn254_nogami_glv,
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./bn254_nogami_glv,
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./bn254_snarks_glv
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./bn254_snarks_glv
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{.experimental: "dynamicBindSym".}
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{.experimental: "dynamicBindSym".}
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@ -35,3 +35,11 @@ template lattice*(F: typedesc[Fp or Fp2]): untyped =
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macro getCubicRootOfUnity_mod_p*(C: static Curve): untyped =
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macro getCubicRootOfUnity_mod_p*(C: static Curve): untyped =
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## Get a non-trivial cubic root of unity (mod p) with p the prime field
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## Get a non-trivial cubic root of unity (mod p) with p the prime field
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result = bindSym($C & "_cubicRootOfUnity_mod_p")
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result = bindSym($C & "_cubicRootOfUnity_mod_p")
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func hasEndomorphismAcceleration*(C: static Curve): bool =
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C in {
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BN254_Nogami,
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BN254_Snarks,
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BLS12_377,
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BLS12_381
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}
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@ -12,6 +12,7 @@ import
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../arithmetic,
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../arithmetic,
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../towers,
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../towers,
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../io/io_bigints,
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../io/io_bigints,
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../curves/zoo_glv,
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./ec_endomorphism_accel
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./ec_endomorphism_accel
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# ############################################################
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# ############################################################
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@ -238,9 +239,9 @@ func scalarMul*[EC](
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## Endomorphism acceleration requires:
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## Endomorphism acceleration requires:
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## - Cofactor to be cleared
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## - Cofactor to be cleared
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## - 0 <= scalar < curve order
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## - 0 <= scalar < curve order
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## this will not automatically
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## Those will be assumed to maintain constant-time property
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when BigInt.bits <= EC.F.C.getCurveOrderBitwidth() and
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when BigInt.bits <= EC.F.C.getCurveOrderBitwidth() and
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EC.F.C in {BN254_Snarks, BLS12_377, BLS12_381}:
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EC.F.C.hasEndomorphismAcceleration():
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when EC.F is Fp:
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when EC.F is Fp:
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P.scalarMulGLV_m2w2(scalar)
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P.scalarMulGLV_m2w2(scalar)
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elif EC.F is Fp2:
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elif EC.F is Fp2:
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@ -0,0 +1,36 @@
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# Constantine
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# Copyright (c) 2018-2019 Status Research & Development GmbH
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# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
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# Licensed and distributed under either of
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# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import
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# Internals
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../constantine/config/[type_fp, curves],
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../constantine/towers,
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../constantine/elliptic/ec_shortweierstrass_jacobian,
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../constantine/elliptic/ec_shortweierstrass_projective,
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# Test utilities
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./t_ec_sage_template
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run_scalar_mul_test_vs_sage(
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ECP_ShortW_Proj[Fp[BN254_Nogami], NotOnTwist],
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"t_ec_sage_bn254_nogami_g1_projective"
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)
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run_scalar_mul_test_vs_sage(
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ECP_ShortW_Jac[Fp[BN254_Nogami], NotOnTwist],
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"t_ec_sage_bn254_nogami_g1_jacobian"
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)
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run_scalar_mul_test_vs_sage(
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ECP_ShortW_Proj[Fp2[BN254_Nogami], OnTwist],
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"t_ec_sage_bn254_nogami_g2_projective"
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)
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run_scalar_mul_test_vs_sage(
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ECP_ShortW_Jac[Fp2[BN254_Nogami], OnTwist],
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"t_ec_sage_bn254_nogami_g2_jacobian"
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)
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@ -0,0 +1,492 @@
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{
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"curve": "BN254_Nogami",
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"group": "G1",
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"modulus": "0x2523648240000001ba344d80000000086121000000000013a700000000000013",
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"order": "0x2523648240000001ba344d8000000007ff9f800000000010a10000000000000d",
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"cofactor": "0x1",
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"form": "short_weierstrass",
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"a": "0x0",
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"b": "0x2",
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"vectors": [
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{
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"id": 0,
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"P": {
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"x": "0xe08a292f940cfb361cc82bc24ca564f51453708c9745a9cf8707b11c84bc448",
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"y": "0x1fc4e075b4ed6426cbec03997d19d24916de06d962498d6de12cf60e8636e047"
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},
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"scalar": "0x20025a0c74b9e838a55061e47b889f590ab06860ea8ec5bc21fe0ca80f7f29a9",
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"Q": {
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"x": "0x980b5af72bfa4a0eef02c170031cf8fc315a9cba4c9c54339b7a210e4707d1e",
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"y": "0x284c4861c0234ec9282ee3b00ef16586d5c67a84219294a16f747007acfb619"
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}
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},
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{
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"id": 1,
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"P": {
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"x": "0x39bc19c41835082f86ca046b71875b051575072e4d6a4aeedac31eee34b07df",
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"y": "0x2cc399530f3a93af016d1d26e5044a083d9dc9da040252589685761ba843d30"
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},
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"scalar": "0x157a3e1ff9dabccced9746e19855a9438098be6d734f07d1c069aa1bd05b8d87",
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"Q": {
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"x": "0x1861e042361fdfef752daf293796c240f65ab237c007791e215aa1e9a5079f4c",
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"y": "0xe2c33eb15582fe270ccf74c63eb8b5024228a74fa684f7708e2095020e179cc"
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}
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},
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{
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"id": 2,
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"P": {
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"x": "0xdf2ff288f44313dc9ddb54de269c6424aaf7164dc5e67917066ea5dfa0d0f1e",
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"y": "0x5410ad2d4b58704f7e5cf88690cfbc779d3053803aea566a0f9e3a2ecf2bd52"
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},
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"scalar": "0x273bf6c679d8e880034590d16c007bbabc6c65ed870a263b5d1ce7375c18fd7",
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"Q": {
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"x": "0x47c572da2d5689e2fa67e9407cff8009aead7b29244d721eb93a78efa2941",
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"y": "0x1c7083e1ab7eada5b4546ef603af5e8dcb3cd3e345fcdd1558c5929159a3da27"
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}
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},
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{
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"id": 3,
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"P": {
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"x": "0x1cefe2112033a045a3faee0337fb38c77f24290262dd9ba8d79eb280e2f9d32a",
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"y": "0x665b74188d4c06e1050cbb7aa438f6aa46cd482a445b3a91a1b1c8f08b4d662"
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},
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"scalar": "0x235e630485f974edbbd138e9079eb54d06d03a50228dbdfdbaa567b1fae19f82",
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"Q": {
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"x": "0x529bc0e057a0ef87990e6106846ffa208d23eefdece1f57b5844d63b8f1958d",
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"y": "0x1e8bb860c4e7cbe8797185902ad7bc0b58d1e2670b59ad7e28b755387206464f"
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}
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},
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{
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"id": 4,
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"P": {
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"x": "0x148523f92df8d037353fd0bdc6d0febc88c9e1bc568d72c80c58438f6295dc59",
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"y": "0xcb0c12d9ce7a415bc1c55879a54ca7c620f80f0e6d37e3eb0180629202a39f2"
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},
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"scalar": "0x3845ad0148f76bdf14f752268eafb065c7272721784a8c6bd3a5fa736332b94",
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"Q": {
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"x": "0x50a411c760331eec7b1df6a314773af471ae8605de42a576ce56a376aa4b454",
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"y": "0x21f8017c6aa00425971a073ed49f398c7b99e15498ab4d0415cabd833fd44755"
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}
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},
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{
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"id": 5,
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"P": {
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"x": "0x1323cb93cf5f33ebf21d2c0ba56e1c39fd0e75b1623d3ab160fed44a37ee1bda",
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"y": "0x12560d91f79f79c618ed649c877c817541fe1d2fe0ef4bfd4fcbd35c93617f5b"
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},
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"scalar": "0x252f232224ad7d89266c28d1289098f03226fa84e7905b0df4e1f6cc4e2e897",
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"Q": {
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"x": "0x157f2decb5edaebb2adff666fe4d7e5d4286b5126f4ea301ba3cb7e332ca7ced",
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"y": "0x23c1a82e2fce0c3bb24bc6464d10124ca76c7424a5a845d361ae4d8c5be5d2e7"
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}
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},
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{
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"id": 6,
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"P": {
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"x": "0x3a7e0e36a933e9ad5732235e93cec84ae8db3104348bf24312ffcdf8e0e78a9",
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"y": "0x145e2d9789d0b912bc27bacfa11940af58861be1583031a1d0fd2fdaacd65c04"
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},
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"scalar": "0x175ed37fdee061c78e28d668a26add87007ab0d11ad699cba0cb13ae35b8215b",
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"Q": {
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"x": "0xed7ee0ade320865d11c844ad125d5c776d3d6f4424d4e95ab40258062e7b0c5",
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"y": "0x3fe36be38d5bbd918c9859b66ea6da7d6a7a0020c76cd5c46363c5926007399"
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}
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},
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{
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"id": 7,
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"P": {
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"x": "0x2337a09e7b42b83857758f3f4d0c2d0e21368a72b93f72ed172c413782db489f",
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||||||
|
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"c0": "0x11ba3c445f55633b3db66147924c9e905ee4858d19d0f78d3990a3ff152d5946",
|
||||||
|
"c1": "0x192576c34e44b884d325564c5584704ffc96db25557d16f69e58879d354db750"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"id": 36,
|
||||||
|
"P": {
|
||||||
|
"x": {
|
||||||
|
"c0": "0xb225ede922a1c42ba5ff440aec8ad9ae8af887d43f22148da92c0f3389cddb6",
|
||||||
|
"c1": "0xb8b1d15eabef713e7f1d42ef891a432dfe9b5882eaea6230596289197125a44"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0xb80f1fdda14b5724e2e5565adcd2e6c534daa10861652e78e07f20e14c91358",
|
||||||
|
"c1": "0x149bbc47b2ea617fb1bc2b803212b8e1cdab36494b04009e83e4dfba84aa367a"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"scalar": "0x13b73dea280441beede72e4bc016ed479af289f58d0377882bcc8846d2b4f3cc",
|
||||||
|
"Q": {
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||||||
|
"x": {
|
||||||
|
"c0": "0x6d6fc1b7571bec51327d95366963e2f199a1604a36388ff1988ec9fa3a52acd",
|
||||||
|
"c1": "0x1ec3e3104a154bc3c66479757e3ea849fdc1160d99be5b3de187a3e885862961"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x1d5c3580332f706e617176d2e4f19f69a9ff8bcb65882cd4da9a5d2fd1ffdaab",
|
||||||
|
"c1": "0x176f62e7837abda4a00f04ea8b5179c1b8d94ba6e0f5ff2beafd1cc011d0ddb7"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"id": 37,
|
||||||
|
"P": {
|
||||||
|
"x": {
|
||||||
|
"c0": "0x377469b46d803ce5a6a30f8525dcab78f3fc1074026d2c70311689543efaefd",
|
||||||
|
"c1": "0x1c5b33fdd987fa54e626f6258ea1dfd4d6b0bfa2393372229f234369dea820e8"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x1335d6c5608a8dd7edb97aaa2fcd7f678924144f49fcd22f8bd650cd49fac1e8",
|
||||||
|
"c1": "0xd0570f7d1571e04855b7a9787a1596cbbbb81c1d65078c173f9d2067fcad6fd"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"scalar": "0x18f54b807fbc70254b1d7ce2a968de11ad082f0c5a5c3fbf381961f7bc6c43ce",
|
||||||
|
"Q": {
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||||||
|
"x": {
|
||||||
|
"c0": "0x21f68141c9f2f686b5021d1e6d755071bb7ed5bbca851f1156490f2b238d2265",
|
||||||
|
"c1": "0x2608970314cd5224a36164093a1aa24d88e0889eed044574617bf9541a5806f"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x18dd75d5eca4c03566ec25c1584cae641f2686dfc03e23907c5c7689c9998641",
|
||||||
|
"c1": "0xe7c68cfdbc269a6a57448f943e7bfbaa6dcf394de4fd8ffbe71d8d0b633d574"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"id": 38,
|
||||||
|
"P": {
|
||||||
|
"x": {
|
||||||
|
"c0": "0x1ac4d08a9d01daacfe8dc067e9832564f8ff03e45edb58849b24b0a15c3ab7b3",
|
||||||
|
"c1": "0x91214e93d22a1ac20b2466b3a8888d3ce84096f6df821989f1d1108c548d88f"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x1328a2a7e89b97d9e11ef1aa63b6225820e0683be8c06e0ebd863741e00daea5",
|
||||||
|
"c1": "0x11291abdb93575e0d18c23f76cbfc3c3ea4f56e5ca365958117df94fe0556aa6"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"scalar": "0x714a70085a541911431bd52979455f8fc7c5513868815819535432af013e305",
|
||||||
|
"Q": {
|
||||||
|
"x": {
|
||||||
|
"c0": "0x20fe64d433c3207e788c7dc3e082eca9257128ed2a4120fd551e604b7c5516c3",
|
||||||
|
"c1": "0x825e9cdefbcbc9543f00c37dc33926532ce539ef3dc9c84b98f581f6e7bf18e"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x1d10ab9136a74354f07a0260c3e8a68f0836f98b63627d5838be8a33a5675e79",
|
||||||
|
"c1": "0xffeed949225b58dfe116926eb141a4d0b19acc6a72b17da625dc9f3bcf6d59f"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"id": 39,
|
||||||
|
"P": {
|
||||||
|
"x": {
|
||||||
|
"c0": "0x8c8681edd63ab9b69a682b06860cf2a19e14b4dc3a8c66b56945a2a87c3aa5e",
|
||||||
|
"c1": "0x7f6858913faa6325140d6719c7a631891e61c1b35f9e91380998512fb61e072"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x1c20b11bd7478320d70e76fe7202fdef75346d243f47f183943401ddac367d4d",
|
||||||
|
"c1": "0x1997030de53af7057dd63c50270c1395241fa4af2bb6a836cb5d1c551cf7b25e"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"scalar": "0x23d1245caa2368ddbb50dabc235deae438da0b3616c49d9390d43556147e899",
|
||||||
|
"Q": {
|
||||||
|
"x": {
|
||||||
|
"c0": "0x18c4679aaf46252f9f0a07b990408d790546b536270518bb2ef27454c97e41c0",
|
||||||
|
"c1": "0x5782fec07a3081919e4c3db574c22163303643b1592918ad9c5717851328a39"
|
||||||
|
},
|
||||||
|
"y": {
|
||||||
|
"c0": "0x939dabcc5f3f0d59b1389f4f9cd69d2de94cf60903eaac517fa4f188ae96d1c",
|
||||||
|
"c1": "0xfb6e512c45fb518012d6686c598ac29e7252dc892ae0ee5e777335169712a88"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
]
|
||||||
|
}
|
||||||
Loading…
Reference in New Issue