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############################### | ||
# Core EditorConfig Options # | ||
############################### | ||
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# dotnet-format requires version 3.1.37601 | ||
# dotnet tool update -g dotnet-format | ||
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# Every file | ||
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Microsoft Visual Studio Solution File, Format Version 12.00 | ||
# Visual Studio Version 17 | ||
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{5355A12D-A614-4C74-B2F8-C8FB0686D717} = {36DA9DE1-958C-4888-BD69-11C612A6AFCA} | ||
{8090336E-33F6-4A1B-BED7-0FEE79E2D1F5} = {5D525A2B-247C-4FDE-839C-1F5D42DF8AE3} | ||
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using static Neo.Cryptography.BLS12_381.MillerLoopUtility; | ||
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namespace Neo.Cryptography.BLS12_381; | ||
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partial class Bls12 | ||
{ | ||
class Adder : IMillerLoopDriver<Fp12> | ||
{ | ||
public G2Projective Curve; | ||
public readonly G2Affine Base; | ||
public readonly G1Affine P; | ||
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public Adder(in G1Affine p, in G2Affine q) | ||
{ | ||
Curve = new(q); | ||
Base = q; | ||
P = p; | ||
} | ||
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Fp12 IMillerLoopDriver<Fp12>.DoublingStep(in Fp12 f) | ||
{ | ||
var coeffs = DoublingStep(ref Curve); | ||
return Ell(in f, in coeffs, in P); | ||
} | ||
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Fp12 IMillerLoopDriver<Fp12>.AdditionStep(in Fp12 f) | ||
{ | ||
var coeffs = AdditionStep(ref Curve, in Base); | ||
return Ell(in f, in coeffs, in P); | ||
} | ||
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static Fp12 IMillerLoopDriver<Fp12>.SquareOutput(in Fp12 f) => f.Square(); | ||
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static Fp12 IMillerLoopDriver<Fp12>.Conjugate(in Fp12 f) => f.Conjugate(); | ||
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static Fp12 IMillerLoopDriver<Fp12>.One => Fp12.One; | ||
} | ||
} |
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using static Neo.Cryptography.BLS12_381.ConstantTimeUtility; | ||
using static Neo.Cryptography.BLS12_381.MillerLoopUtility; | ||
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namespace Neo.Cryptography.BLS12_381; | ||
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public static partial class Bls12 | ||
{ | ||
public static Gt Pairing(in G1Affine p, in G2Affine q) | ||
{ | ||
var either_identity = p.IsIdentity | q.IsIdentity; | ||
var p2 = ConditionalSelect(in p, in G1Affine.Generator, either_identity); | ||
var q2 = ConditionalSelect(in q, in G2Affine.Generator, either_identity); | ||
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var adder = new Adder(p2, q2); | ||
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var tmp = MillerLoop<Fp12, Adder>(adder); | ||
var tmp2 = new MillerLoopResult(ConditionalSelect(in tmp, in Fp12.One, either_identity)); | ||
return tmp2.FinalExponentiation(); | ||
} | ||
} |
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using System.Runtime.CompilerServices; | ||
using System.Runtime.InteropServices; | ||
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namespace Neo.Cryptography.BLS12_381; | ||
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public static class ConstantTimeUtility | ||
{ | ||
public static bool ConstantTimeEq<T>(in T a, in T b) where T : unmanaged | ||
{ | ||
ReadOnlySpan<byte> a_bytes = MemoryMarshal.AsBytes(MemoryMarshal.CreateReadOnlySpan(ref Unsafe.AsRef(in a), 1)); | ||
ReadOnlySpan<byte> b_bytes = MemoryMarshal.AsBytes(MemoryMarshal.CreateReadOnlySpan(ref Unsafe.AsRef(in b), 1)); | ||
ReadOnlySpan<ulong> a_u64 = MemoryMarshal.Cast<byte, ulong>(a_bytes); | ||
ReadOnlySpan<ulong> b_u64 = MemoryMarshal.Cast<byte, ulong>(b_bytes); | ||
ulong f = 0; | ||
for (int i = 0; i < a_u64.Length; i++) | ||
f |= a_u64[i] ^ b_u64[i]; | ||
for (int i = a_u64.Length * sizeof(ulong); i < a_bytes.Length; i++) | ||
f |= (ulong)a_bytes[i] ^ a_bytes[i]; | ||
return f == 0; | ||
} | ||
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public static T ConditionalSelect<T>(in T a, in T b, bool choice) where T : unmanaged | ||
{ | ||
return choice ? b : a; | ||
} | ||
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public static void ConditionalAssign<T>(this ref T self, in T other, bool choice) where T : unmanaged | ||
{ | ||
self = ConditionalSelect(in self, in other, choice); | ||
} | ||
} |
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namespace Neo.Cryptography.BLS12_381; | ||
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static class Constants | ||
{ | ||
public const ulong BLS_X = 0xd201_0000_0001_0000; | ||
public const bool BLS_X_IS_NEGATIVE = true; | ||
} |
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