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| 1 | +// Copyright (C) 2015-2025 The Neo Project. |
| 2 | +// |
| 3 | +// BN254.cs file belongs to the neo project and is free |
| 4 | +// software distributed under the MIT software license, see the |
| 5 | +// accompanying file LICENSE in the main directory of the |
| 6 | +// repository or http://www.opensource.org/licenses/mit-license.php |
| 7 | +// for more details. |
| 8 | +// |
| 9 | +// Redistribution and use in source and binary forms with or without |
| 10 | +// modifications are permitted. |
| 11 | + |
| 12 | +using Nethermind.MclBindings; |
| 13 | +using System; |
| 14 | +using System.Runtime.CompilerServices; |
| 15 | +using System.Runtime.InteropServices; |
| 16 | + |
| 17 | +namespace Neo.Cryptography |
| 18 | +{ |
| 19 | + public static class BN254 |
| 20 | + { |
| 21 | + public const int FieldElementLength = 32; |
| 22 | + public const int G1EncodedLength = 64; |
| 23 | + public const int PairInputLength = 192; |
| 24 | + |
| 25 | + private static readonly object s_sync = new(); |
| 26 | + private static bool s_initialized; |
| 27 | + |
| 28 | + public static byte[] Add(ReadOnlySpan<byte> input) |
| 29 | + { |
| 30 | + if (input.Length != G1EncodedLength * 2) |
| 31 | + throw new ArgumentException("Invalid BN254 add input length", nameof(input)); |
| 32 | + |
| 33 | + EnsureInitialized(); |
| 34 | + |
| 35 | + if (!TryDeserializeG1(input[..G1EncodedLength], out var first)) |
| 36 | + return new byte[G1EncodedLength]; |
| 37 | + |
| 38 | + if (!TryDeserializeG1(input[G1EncodedLength..], out var second)) |
| 39 | + return new byte[G1EncodedLength]; |
| 40 | + |
| 41 | + mclBnG1 result = default; |
| 42 | + Mcl.mclBnG1_add(ref result, first, second); |
| 43 | + Mcl.mclBnG1_normalize(ref result, result); |
| 44 | + |
| 45 | + return SerializeG1(result); |
| 46 | + } |
| 47 | + |
| 48 | + public static byte[] Mul(ReadOnlySpan<byte> input) |
| 49 | + { |
| 50 | + if (input.Length != G1EncodedLength + FieldElementLength) |
| 51 | + throw new ArgumentException("Invalid BN254 mul input length", nameof(input)); |
| 52 | + |
| 53 | + EnsureInitialized(); |
| 54 | + |
| 55 | + if (!TryDeserializeG1(input[..G1EncodedLength], out var basePoint)) |
| 56 | + return new byte[G1EncodedLength]; |
| 57 | + |
| 58 | + if (!TryDeserializeScalar(input[G1EncodedLength..], out var scalar)) |
| 59 | + return new byte[G1EncodedLength]; |
| 60 | + |
| 61 | + mclBnG1 result = default; |
| 62 | + Mcl.mclBnG1_mul(ref result, basePoint, scalar); |
| 63 | + Mcl.mclBnG1_normalize(ref result, result); |
| 64 | + |
| 65 | + return SerializeG1(result); |
| 66 | + } |
| 67 | + |
| 68 | + public static byte[] Pairing(ReadOnlySpan<byte> input) |
| 69 | + { |
| 70 | + if (input.Length % PairInputLength != 0) |
| 71 | + throw new ArgumentException("Invalid BN254 pairing input length", nameof(input)); |
| 72 | + |
| 73 | + EnsureInitialized(); |
| 74 | + |
| 75 | + if (input.Length == 0) |
| 76 | + return SuccessWord(); |
| 77 | + |
| 78 | + int pairCount = input.Length / PairInputLength; |
| 79 | + bool hasEffectivePair = false; |
| 80 | + |
| 81 | + mclBnGT accumulator = default; |
| 82 | + Mcl.mclBnGT_setInt32(ref accumulator, 1); |
| 83 | + |
| 84 | + for (int pairIndex = 0; pairIndex < pairCount; pairIndex++) |
| 85 | + { |
| 86 | + int offset = pairIndex * PairInputLength; |
| 87 | + var g1Slice = input.Slice(offset, G1EncodedLength); |
| 88 | + var g2Slice = input.Slice(offset + G1EncodedLength, 2 * G1EncodedLength); |
| 89 | + |
| 90 | + if (!TryDeserializeG1(g1Slice, out var g1)) |
| 91 | + return new byte[FieldElementLength]; |
| 92 | + |
| 93 | + if (!TryDeserializeG2(g2Slice, out var g2)) |
| 94 | + return new byte[FieldElementLength]; |
| 95 | + |
| 96 | + if (Mcl.mclBnG1_isZero(g1) == 1 || Mcl.mclBnG2_isZero(g2) == 1) |
| 97 | + continue; |
| 98 | + |
| 99 | + hasEffectivePair = true; |
| 100 | + |
| 101 | + mclBnGT current = default; |
| 102 | + Mcl.mclBn_pairing(ref current, g1, g2); |
| 103 | + |
| 104 | + if (Mcl.mclBnGT_isValid(current) == 0) |
| 105 | + return new byte[FieldElementLength]; |
| 106 | + |
| 107 | + mclBnGT temp = accumulator; |
| 108 | + Mcl.mclBnGT_mul(ref accumulator, temp, current); |
| 109 | + } |
| 110 | + |
| 111 | + if (!hasEffectivePair) |
| 112 | + return SuccessWord(); |
| 113 | + |
| 114 | + return Mcl.mclBnGT_isOne(accumulator) == 1 ? SuccessWord() : new byte[FieldElementLength]; |
| 115 | + } |
| 116 | + |
| 117 | + private static unsafe bool TryDeserializeG1(ReadOnlySpan<byte> encoded, out mclBnG1 point) |
| 118 | + { |
| 119 | + point = default; |
| 120 | + |
| 121 | + if (IsAllZero(encoded)) |
| 122 | + return true; |
| 123 | + |
| 124 | + ReadOnlySpan<byte> xBytes = encoded[..FieldElementLength]; |
| 125 | + fixed (byte* ptr = xBytes) |
| 126 | + { |
| 127 | + if (Mcl.mclBnFp_setBigEndianMod(ref point.x, (nint)ptr, (nuint)xBytes.Length) != 0) |
| 128 | + return false; |
| 129 | + } |
| 130 | + |
| 131 | + ReadOnlySpan<byte> yBytes = encoded[FieldElementLength..]; |
| 132 | + fixed (byte* ptr = yBytes) |
| 133 | + { |
| 134 | + if (Mcl.mclBnFp_setBigEndianMod(ref point.y, (nint)ptr, (nuint)yBytes.Length) != 0) |
| 135 | + return false; |
| 136 | + } |
| 137 | + |
| 138 | + Mcl.mclBnFp_setInt32(ref point.z, 1); |
| 139 | + |
| 140 | + return Mcl.mclBnG1_isValid(point) == 1; |
| 141 | + } |
| 142 | + |
| 143 | + private static unsafe bool TryDeserializeScalar(ReadOnlySpan<byte> encoded, out mclBnFr scalar) |
| 144 | + { |
| 145 | + scalar = default; |
| 146 | + |
| 147 | + if (IsAllZero(encoded)) |
| 148 | + { |
| 149 | + Mcl.mclBnFr_clear(ref scalar); |
| 150 | + return true; |
| 151 | + } |
| 152 | + |
| 153 | + fixed (byte* ptr = encoded) |
| 154 | + { |
| 155 | + if (Mcl.mclBnFr_setBigEndianMod(ref scalar, (nint)ptr, (nuint)encoded.Length) == -1) |
| 156 | + return false; |
| 157 | + } |
| 158 | + |
| 159 | + return Mcl.mclBnFr_isValid(scalar) == 1; |
| 160 | + } |
| 161 | + |
| 162 | + private static unsafe bool TryDeserializeG2(ReadOnlySpan<byte> encoded, out mclBnG2 point) |
| 163 | + { |
| 164 | + point = default; |
| 165 | + |
| 166 | + if (IsAllZero(encoded)) |
| 167 | + return true; |
| 168 | + |
| 169 | + Span<byte> scratch = stackalloc byte[FieldElementLength]; |
| 170 | + |
| 171 | + var realSegment = encoded.Slice(FieldElementLength, FieldElementLength); |
| 172 | + CopyReversed(realSegment, scratch); |
| 173 | + fixed (byte* ptr = scratch) |
| 174 | + { |
| 175 | + if (Mcl.mclBnFp_deserialize(ref point.x.d0, (nint)ptr, (nuint)scratch.Length) == UIntPtr.Zero) |
| 176 | + return false; |
| 177 | + } |
| 178 | + |
| 179 | + var imagSegment = encoded[..FieldElementLength]; |
| 180 | + CopyReversed(imagSegment, scratch); |
| 181 | + fixed (byte* ptr = scratch) |
| 182 | + { |
| 183 | + if (Mcl.mclBnFp_deserialize(ref point.x.d1, (nint)ptr, (nuint)scratch.Length) == UIntPtr.Zero) |
| 184 | + return false; |
| 185 | + } |
| 186 | + |
| 187 | + var yReal = encoded.Slice(3 * FieldElementLength, FieldElementLength); |
| 188 | + CopyReversed(yReal, scratch); |
| 189 | + fixed (byte* ptr = scratch) |
| 190 | + { |
| 191 | + if (Mcl.mclBnFp_deserialize(ref point.y.d0, (nint)ptr, (nuint)scratch.Length) == UIntPtr.Zero) |
| 192 | + return false; |
| 193 | + } |
| 194 | + |
| 195 | + var yImag = encoded.Slice(2 * FieldElementLength, FieldElementLength); |
| 196 | + CopyReversed(yImag, scratch); |
| 197 | + fixed (byte* ptr = scratch) |
| 198 | + { |
| 199 | + if (Mcl.mclBnFp_deserialize(ref point.y.d1, (nint)ptr, (nuint)scratch.Length) == UIntPtr.Zero) |
| 200 | + return false; |
| 201 | + } |
| 202 | + |
| 203 | + Mcl.mclBnFp_setInt32(ref point.z.d0, 1); |
| 204 | + |
| 205 | + return true; |
| 206 | + } |
| 207 | + |
| 208 | + private static unsafe byte[] SerializeG1(in mclBnG1 point) |
| 209 | + { |
| 210 | + var output = new byte[G1EncodedLength]; |
| 211 | + |
| 212 | + if (Mcl.mclBnG1_isZero(point) == 1) |
| 213 | + return output; |
| 214 | + |
| 215 | + Span<byte> scratch = stackalloc byte[FieldElementLength]; |
| 216 | + |
| 217 | + fixed (byte* ptr = scratch) |
| 218 | + { |
| 219 | + if (Mcl.mclBnFp_getLittleEndian((nint)ptr, (nuint)scratch.Length, point.x) == UIntPtr.Zero) |
| 220 | + throw new ArgumentException("Failed to serialize BN254 point"); |
| 221 | + } |
| 222 | + |
| 223 | + WriteBigEndian(scratch, output.AsSpan(0, FieldElementLength)); |
| 224 | + |
| 225 | + fixed (byte* ptr = scratch) |
| 226 | + { |
| 227 | + if (Mcl.mclBnFp_getLittleEndian((nint)ptr, (nuint)scratch.Length, point.y) == UIntPtr.Zero) |
| 228 | + throw new ArgumentException("Failed to serialize BN254 point"); |
| 229 | + } |
| 230 | + |
| 231 | + WriteBigEndian(scratch, output.AsSpan(FieldElementLength, FieldElementLength)); |
| 232 | + |
| 233 | + return output; |
| 234 | + } |
| 235 | + |
| 236 | + private static byte[] SuccessWord() |
| 237 | + { |
| 238 | + var output = new byte[FieldElementLength]; |
| 239 | + output[^1] = 1; |
| 240 | + return output; |
| 241 | + } |
| 242 | + |
| 243 | + private static bool IsAllZero(ReadOnlySpan<byte> data) |
| 244 | + { |
| 245 | + for (int i = 0; i < data.Length; ++i) |
| 246 | + { |
| 247 | + if (data[i] != 0) |
| 248 | + return false; |
| 249 | + } |
| 250 | + |
| 251 | + return true; |
| 252 | + } |
| 253 | + |
| 254 | + private static void WriteBigEndian(ReadOnlySpan<byte> littleEndian, Span<byte> destination) |
| 255 | + { |
| 256 | + for (int i = 0; i < littleEndian.Length; ++i) |
| 257 | + destination[i] = littleEndian[littleEndian.Length - 1 - i]; |
| 258 | + } |
| 259 | + |
| 260 | + private static void CopyReversed(ReadOnlySpan<byte> source, Span<byte> destination) |
| 261 | + { |
| 262 | + for (int i = 0; i < source.Length; ++i) |
| 263 | + destination[i] = source[source.Length - 1 - i]; |
| 264 | + } |
| 265 | + |
| 266 | + [MethodImpl(MethodImplOptions.NoInlining)] |
| 267 | + private static void EnsureInitialized() |
| 268 | + { |
| 269 | + if (s_initialized) |
| 270 | + return; |
| 271 | + |
| 272 | + lock (s_sync) |
| 273 | + { |
| 274 | + if (s_initialized) |
| 275 | + return; |
| 276 | + |
| 277 | + if (Mcl.mclBn_init(Mcl.MCL_BN_SNARK1, Mcl.MCLBN_COMPILED_TIME_VAR) != 0) |
| 278 | + throw new InvalidOperationException("BN254 initialization failed"); |
| 279 | + |
| 280 | + Mcl.mclBn_setETHserialization(1); |
| 281 | + |
| 282 | + s_initialized = true; |
| 283 | + } |
| 284 | + } |
| 285 | + } |
| 286 | +} |
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