using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace DataMatrix4Net { public class ReedSolomon { const int NN = 255; const int MAX_ERROR_WORD_COUNT = 68; static byte[] log301 = new byte[] { 255, 0, 1, 240, 2, 225, 241, 53, 3, 38, 226, 133, 242, 43, 54, 210, 4, 195, 39, 114, 227, 106, 134, 28, 243, 140, 44, 23, 55, 118, 211, 234, 5, 219, 196, 96, 40, 222, 115, 103, 228, 78, 107, 125, 135, 8, 29, 162, 244, 186, 141, 180, 45, 99, 24, 49, 56, 13, 119, 153, 212, 199, 235, 91, 6, 76, 220, 217, 197, 11, 97, 184, 41, 36, 223, 253, 116, 138, 104, 193, 229, 86, 79, 171, 108, 165, 126, 145, 136, 34, 9, 74, 30, 32, 163, 84, 245, 173, 187, 204, 142, 81, 181, 190, 46, 88, 100, 159, 25, 231, 50, 207, 57, 147, 14, 67, 120, 128, 154, 248, 213, 167, 200, 63, 236, 110, 92, 176, 7, 161, 77, 124, 221, 102, 218, 95, 198, 90, 12, 152, 98, 48, 185, 179, 42, 209, 37, 132, 224, 52, 254, 239, 117, 233, 139, 22, 105, 27, 194, 113, 230, 206, 87, 158, 80, 189, 172, 203, 109, 175, 166, 62, 127, 247, 146, 66, 137, 192, 35, 252, 10, 183, 75, 216, 31, 83, 33, 73, 164, 144, 85, 170, 246, 65, 174, 61, 188, 202, 205, 157, 143, 169, 82, 72, 182, 215, 191, 251, 47, 178, 89, 151, 101, 94, 160, 123, 26, 112, 232, 21, 51, 238, 208, 131, 58, 69, 148, 18, 15, 16, 68, 17, 121, 149, 129, 19, 155, 59, 249, 70, 214, 250, 168, 71, 201, 156, 64, 60, 237, 130, 111, 20, 93, 122, 177, 150, }; static byte[] antilog301 = new byte[] { 1, 2, 4, 8, 16, 32, 64, 128, 45, 90, 180, 69, 138, 57, 114, 228, 229, 231, 227, 235, 251, 219, 155, 27, 54, 108, 216, 157, 23, 46, 92, 184, 93, 186, 89, 178, 73, 146, 9, 18, 36, 72, 144, 13, 26, 52, 104, 208, 141, 55, 110, 220, 149, 7, 14, 28, 56, 112, 224, 237, 247, 195, 171, 123, 246, 193, 175, 115, 230, 225, 239, 243, 203, 187, 91, 182, 65, 130, 41, 82, 164, 101, 202, 185, 95, 190, 81, 162, 105, 210, 137, 63, 126, 252, 213, 135, 35, 70, 140, 53, 106, 212, 133, 39, 78, 156, 21, 42, 84, 168, 125, 250, 217, 159, 19, 38, 76, 152, 29, 58, 116, 232, 253, 215, 131, 43, 86, 172, 117, 234, 249, 223, 147, 11, 22, 44, 88, 176, 77, 154, 25, 50, 100, 200, 189, 87, 174, 113, 226, 233, 255, 211, 139, 59, 118, 236, 245, 199, 163, 107, 214, 129, 47, 94, 188, 85, 170, 121, 242, 201, 191, 83, 166, 97, 194, 169, 127, 254, 209, 143, 51, 102, 204, 181, 71, 142, 49, 98, 196, 165, 103, 206, 177, 79, 158, 17, 34, 68, 136, 61, 122, 244, 197, 167, 99, 198, 161, 111, 222, 145, 15, 30, 60, 120, 240, 205, 183, 67, 134, 33, 66, 132, 37, 74, 148, 5, 10, 20, 40, 80, 160, 109, 218, 153, 31, 62, 124, 248, 221, 151, 3, 6, 12, 24, 48, 96, 192, 173, 119, 238, 241, 207, 179, 75, 150, 0, }; /// /// GF add (a + b) /// static byte GfAdd(byte a, byte b) { return (byte)(a ^ b); } /// /// GF multiply (a * b) /// static byte GfMult(byte a, byte b) { return (a == 0 || b == 0) ? (byte)0 : antilog301[(log301[a] + log301[b]) % NN]; } /// /// GF multiply by antilog (a * alpha**b) /// static byte GfMultAntilog(byte a, byte b) { return (a == 0) ? (byte)0 : antilog301[(log301[a] + b) % NN]; } /// /// Encode a byte array using Reed-Solomon error correction /// /// Input byte array /// /// true when successful public static byte[] Encode(byte[] message, SymbolSize sizeId) { int blockStride = Symbol.GetSymbolAttribute(SymbolAttribute.InterleavedBlocks, sizeId); int blockErrorWords = Symbol.GetSymbolAttribute(SymbolAttribute.BlockErrorWords, sizeId); int symbolDataWords = Symbol.GetSymbolAttribute(SymbolAttribute.SymbolDataWords, sizeId); int symbolErrorWords = Symbol.GetSymbolAttribute(SymbolAttribute.SymbolErrorWords, sizeId); int symbolTotalWords = symbolDataWords + symbolErrorWords; byte[] output = new byte[symbolTotalWords]; for (int i = 0; i < Math.Min(message.Length, symbolDataWords); i++) { output[i] = message[i]; /// Copy the original message to output } /// Populate generator polynomial byte[] gen = RsGenPoly(blockErrorWords); /// For each interleaved block... for (int blockIdx = 0; blockIdx < blockStride; blockIdx++) { /// Generate error codewords byte[] ecc = new byte[blockErrorWords]; for (int i = 0; i < blockErrorWords; i++) ecc[i] = 0; for (int i = blockIdx; i < symbolDataWords; i += blockStride) { byte val = (byte)(ecc[blockErrorWords - 1] ^ output[i]); for (int j = blockErrorWords - 1; j > 0; j--) { //DMTX_CHECK_BOUNDS(&ecc, j); DMTX_CHECK_BOUNDS(&ecc, j-1); DMTX_CHECK_BOUNDS(&gen, j); ecc[j] = GfAdd(ecc[j - 1], GfMult(gen[j], val)); } ecc[0] = GfMult(gen[0], val); } /// Copy to output message int jj = blockErrorWords; for (int i = symbolDataWords + blockIdx; i < symbolTotalWords; i += blockStride) { output[i] = ecc[--jj]; } } return output; } static byte[] RsGenPoly(int errorWordCount) { byte[] gen = new byte[errorWordCount]; /// Initialize all coefficients to 1 for (int i = 0; i < errorWordCount; i++) gen[i] = (byte)1; /* Generate polynomial */ for (int i = 0; i < gen.Length; i++) { for (int j = i; j >= 0; j--) { gen[j] = GfMultAntilog(gen[j], (byte)(i + 1)); if (j > 0) { gen[j] = (byte)(gen[j] ^ gen[j - 1]); } } } return gen; } } }