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;
}
}
}