/* * Copyright (C) 2016,2024 by Jonathan Naylor G4KLX * Copyright (C) 2018,2023 by Bryan Biedenkapp N2PLL * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. */ #include "RS634717.h" #include "RS.h" #include #include #include #include const unsigned char ENCODE_MATRIX_241213[12U][24U] = { {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 062, 044, 003, 025, 014, 016, 027, 003, 053, 004, 036, 047}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 011, 012, 011, 011, 016, 064, 067, 055, 001, 076, 026, 073}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 003, 001, 005, 075, 014, 006, 020, 044, 066, 006, 070, 066}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 021, 070, 027, 045, 016, 067, 023, 064, 073, 033, 044, 021}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 030, 022, 003, 075, 015, 015, 033, 015, 051, 003, 053, 050}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 001, 041, 027, 056, 076, 064, 021, 053, 004, 025, 001, 012}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 061, 076, 021, 055, 076, 001, 063, 035, 030, 013, 064, 070}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 024, 022, 071, 056, 021, 035, 073, 042, 057, 074, 043, 076}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 072, 042, 005, 020, 043, 047, 033, 056, 001, 016, 013, 076}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 072, 014, 065, 054, 035, 025, 041, 016, 015, 040, 071, 026}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 073, 065, 036, 061, 042, 022, 017, 004, 044, 020, 025, 005}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 071, 005, 055, 003, 071, 034, 060, 011, 074, 002, 041, 050}}; const unsigned char ENCODE_MATRIX_24169[16U][24U] = { { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 051, 045, 067, 015, 064, 067, 052, 012 }, { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 057, 025, 063, 073, 071, 022, 040, 015 }, { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 005, 001, 031, 004, 016, 054, 025, 076 }, { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 073, 007, 047, 014, 041, 077, 047, 011 }, { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 075, 015, 051, 051, 017, 067, 017, 057 }, { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 020, 032, 014, 042, 075, 042, 070, 054 }, { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 002, 075, 043, 005, 001, 040, 012, 064 }, { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 024, 074, 015, 072, 024, 026, 074, 061 }, { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 042, 064, 007, 022, 061, 020, 040, 065 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 032, 032, 055, 041, 057, 066, 021, 077 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 065, 036, 025, 007, 050, 016, 040, 051 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 064, 006, 054, 032, 076, 046, 014, 036 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 062, 063, 074, 070, 005, 027, 037, 046 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 055, 043, 034, 071, 057, 076, 050, 064 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 024, 023, 023, 005, 050, 070, 042, 023 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 067, 075, 045, 060, 057, 024, 006, 026 } }; const unsigned char ENCODE_MATRIX_362017[20U][36U] = { { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 074, 037, 034, 006, 002, 007, 044, 064, 026, 014, 026, 044, 054, 013, 077, 005 }, { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 004, 017, 050, 024, 011, 005, 030, 057, 033, 003, 002, 002, 015, 016, 025, 026 }, { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 007, 023, 037, 046, 056, 075, 043, 045, 055, 021, 050, 031, 045, 027, 071, 062 }, { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 026, 005, 007, 063, 063, 027, 063, 040, 006, 004, 040, 045, 047, 030, 075, 007 }, { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 023, 073, 073, 041, 072, 034, 021, 051, 067, 016, 031, 074, 011, 021, 012, 021 }, { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 024, 051, 025, 023, 022, 041, 074, 066, 074, 065, 070, 036, 067, 045, 064, 001 }, { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 052, 033, 014, 002, 020, 006, 014, 025, 052, 023, 035, 074, 075, 075, 043, 027 }, { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 055, 062, 056, 025, 073, 060, 015, 030, 013, 017, 020, 002, 070, 055, 014, 047 }, { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 054, 051, 032, 065, 077, 012, 054, 013, 035, 032, 056, 012, 075, 001, 072, 063 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 074, 041, 030, 041, 043, 022, 051, 006, 064, 033, 003, 047, 027, 012, 055, 047 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 054, 070, 011, 003, 013, 022, 016, 057, 003, 045, 072, 031, 030, 056, 035, 022 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 051, 007, 072, 030, 065, 054, 006, 021, 036, 063, 050, 061, 064, 052, 001, 060 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 001, 065, 032, 070, 013, 044, 073, 024, 012, 052, 021, 055, 012, 035, 014, 072 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 011, 070, 005, 010, 065, 024, 015, 077, 022, 024, 024, 074, 007, 044, 007, 046 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 006, 002, 065, 011, 041, 020, 045, 042, 046, 054, 035, 012, 040, 064, 065, 033 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 034, 031, 001, 015, 044, 064, 016, 024, 052, 016, 006, 062, 020, 013, 055, 057 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 063, 043, 025, 044, 077, 063, 017, 017, 064, 014, 040, 074, 031, 072, 054, 006 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 071, 021, 070, 044, 056, 004, 030, 074, 004, 023, 071, 070, 063, 045, 056, 043 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 002, 001, 053, 074, 002, 014, 052, 074, 012, 057, 024, 063, 015, 042, 052, 033 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 034, 035, 002, 023, 021, 027, 022, 033, 064, 042, 005, 073, 051, 046, 073, 060 } }; const unsigned int rsGFexp[64] = { 1, 2, 4, 8, 16, 32, 3, 6, 12, 24, 48, 35, 5, 10, 20, 40, 19, 38, 15, 30, 60, 59, 53, 41, 17, 34, 7, 14, 28, 56, 51, 37, 9, 18, 36, 11, 22, 44, 27, 54, 47, 29, 58, 55, 45, 25, 50, 39, 13, 26, 52, 43, 21, 42, 23, 46, 31, 62, 63, 61, 57, 49, 33, 0 }; const unsigned int rsGFlog[64] = { 63, 0, 1, 6, 2, 12, 7, 26, 3, 32, 13, 35, 8, 48, 27, 18, 4, 24, 33, 16, 14, 52, 36, 54, 9, 45, 49, 38, 28, 41, 19, 56, 5, 62, 25, 11, 34, 31, 17, 47, 15, 23, 53, 51, 37, 44, 55, 40, 10, 61, 46, 30, 50, 22, 39, 43, 29, 60, 42, 21, 20, 59, 57, 58 }; const unsigned char BIT_MASK_TABLE[] = { 0x80U, 0x40U, 0x20U, 0x10U, 0x08U, 0x04U, 0x02U, 0x01U }; #define WRITE_BIT(p,i,b) p[(i)>>3] = (b) ? (p[(i)>>3] | BIT_MASK_TABLE[(i)&7]) : (p[(i)>>3] & ~BIT_MASK_TABLE[(i)&7]) #define READ_BIT(p,i) (p[(i)>>3] & BIT_MASK_TABLE[(i)&7]) static unsigned char bin2Hex(const unsigned char* input, unsigned int offset) { unsigned char output = 0x00U; output |= READ_BIT(input, offset + 0U) ? 0x20U : 0x00U; output |= READ_BIT(input, offset + 1U) ? 0x10U : 0x00U; output |= READ_BIT(input, offset + 2U) ? 0x08U : 0x00U; output |= READ_BIT(input, offset + 3U) ? 0x04U : 0x00U; output |= READ_BIT(input, offset + 4U) ? 0x02U : 0x00U; output |= READ_BIT(input, offset + 5U) ? 0x01U : 0x00U; return output; } static void hex2Bin(unsigned char input, unsigned char* output, unsigned int offset) { WRITE_BIT(output, offset + 0U, input & 0x20U); WRITE_BIT(output, offset + 1U, input & 0x10U); WRITE_BIT(output, offset + 2U, input & 0x08U); WRITE_BIT(output, offset + 3U, input & 0x04U); WRITE_BIT(output, offset + 4U, input & 0x02U); WRITE_BIT(output, offset + 5U, input & 0x01U); } #define __RS(TYPE, SYMBOLS, PAYLOAD, POLY, FCR, PRIM) \ rs::reed_solomon::value, \ (SYMBOLS) - (PAYLOAD), FCR, PRIM, \ rs::gfpoly::value, POLY>> #define __RS_63(PAYLOAD) __RS(unsigned char, 63, PAYLOAD, 0x43, 1, 1) class RS6347 : public __RS_63(47) { public: RS6347() : __RS_63(47)() { /* stub */ } }; RS6347 rs634717; // 16 bit / 8 bit corrections max / 5 bytes total /** * @brief Implements Reed-Solomon (24,12,13) */ class RS6351 : public __RS_63(51) { public: RS6351() : __RS_63(51)() { /* stub */ } }; RS6351 rs241213; // 12 bit / 6 bit corrections max / 3 bytes total /** * @brief Implements Reed-Solomon (24,16,9) */ class RS6355 : public __RS_63(55) { public: RS6355() : __RS_63(55)() { /* stub */ } }; RS6355 rs24169; // 8 bit / 4 bit corrections max / 2 bytes total CRS634717::CRS634717() { } CRS634717::~CRS634717() { } bool CRS634717::decode241213(unsigned char* data) { assert(data != NULL); std::vector codeword(63, 0); unsigned int offset = 0U; for (unsigned int i = 0U; i < 24U; i++, offset += 6U) codeword[39U + i] = bin2Hex(data, offset); int ec = rs241213.decode(codeword); offset = 0U; for (unsigned int i = 0U; i < 12U; i++, offset += 6U) hex2Bin(codeword[39U + i], data, offset); if (ec == -1 || ec >= 6) return false; return true; } void CRS634717::encode241213(unsigned char* data) { assert(data != NULL); unsigned char codeword[24U]; for (unsigned int i = 0U; i < 24U; i++) { codeword[i] = 0x00U; unsigned int offset = 0U; for (unsigned int j = 0U; j < 12U; j++, offset += 6U) { unsigned char hexbit = bin2Hex(data, offset); codeword[i] ^= gf6Mult(hexbit, ENCODE_MATRIX_241213[j][i]); } } unsigned int offset = 0U; for (unsigned int i = 0U; i < 24U; i++, offset += 6U) hex2Bin(codeword[i], data, offset); } bool CRS634717::decode24169(unsigned char* data) { assert(data != NULL); std::vector codeword(63, 0); unsigned int offset = 0U; for (unsigned int i = 0U; i < 24U; i++, offset += 6U) codeword[39U + i] = bin2Hex(data, offset); int ec = rs24169.decode(codeword); offset = 0U; for (unsigned int i = 0U; i < 16U; i++, offset += 6U) hex2Bin(codeword[39U + i], data, offset); if (ec == -1 || ec >= 4) return false; return true; } void CRS634717::encode24169(unsigned char* data) { assert(data != NULL); unsigned char codeword[24U]; for (unsigned int i = 0U; i < 24U; i++) { codeword[i] = 0x00U; unsigned int offset = 0U; for (unsigned int j = 0U; j < 16U; j++, offset += 6U) { unsigned char hexbit = bin2Hex(data, offset); codeword[i] ^= gf6Mult(hexbit, ENCODE_MATRIX_24169[j][i]); } } unsigned int offset = 0U; for (unsigned int i = 0U; i < 24U; i++, offset += 6U) hex2Bin(codeword[i], data, offset); } bool CRS634717::decode362017(unsigned char* data) { assert(data != NULL); std::vector codeword(63, 0); unsigned int offset = 0U; for (unsigned int i = 0U; i < 36U; i++, offset += 6U) codeword[27U + i] = bin2Hex(data, offset); int ec = rs634717.decode(codeword); offset = 0U; for (unsigned int i = 0U; i < 20U; i++, offset += 6U) hex2Bin(codeword[27U + i], data, offset); if (ec == -1 || ec >= 8) return false; return true; } void CRS634717::encode362017(unsigned char* data) { assert(data != NULL); unsigned char codeword[36U]; for (unsigned int i = 0U; i < 36U; i++) { codeword[i] = 0x00U; unsigned int offset = 0U; for (unsigned int j = 0U; j < 20U; j++, offset += 6U) { unsigned char hexbit = bin2Hex(data, offset); codeword[i] ^= gf6Mult(hexbit, ENCODE_MATRIX_362017[j][i]); } } unsigned int offset = 0U; for (unsigned int i = 0U; i < 36U; i++, offset += 6U) hex2Bin(codeword[i], data, offset); } // GF(2 ^ 6) multiply(for Reed - Solomon encoder) unsigned char CRS634717::gf6Mult(unsigned char a, unsigned char b) const { unsigned char p = 0x00U; for (unsigned int i = 0U; i < 6U; i++) { if ((b & 0x01U) == 0x01U) p ^= a; a <<= 1; if ((a & 0x40U) == 0x40U) a ^= 0x43U; // primitive polynomial : x ^ 6 + x + 1 b >>= 1; } return p; }