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Expand ReedSolomon class to shortened codes. Add conf parameters for Galileo E1B RS encoding/decoding and the corresponding unit tests

This commit is contained in:
Carles Fernandez 2021-04-01 10:22:24 +02:00
parent eb68c41074
commit 149c26b971
5 changed files with 900 additions and 349 deletions

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@ -1,6 +1,7 @@
/*! /*!
* \file reed_solomon.cc * \file reed_solomon.cc
* \brief Class implementing a Reed-Solomon encoder/decoder * \brief Class implementing a Reed-Solomon encoder/decoder for blocks of 255
* symbols and symbols of 8 bits.
* \author Carles Fernandez, 2021. cfernandez(at)cttc.es * \author Carles Fernandez, 2021. cfernandez(at)cttc.es
* *
* ----------------------------------------------------------------------------- * -----------------------------------------------------------------------------
@ -15,278 +16,438 @@
*/ */
#include "reed_solomon.h" #include "reed_solomon.h"
#include <algorithm>
#include <cstring> #include <cstring>
#include <iostream> #include <iostream>
ReedSolomon::ReedSolomon() ReedSolomon::ReedSolomon(const std::string& gnss_signal)
{ {
d_nroots = 223; // number of parity symbols in a block if (gnss_signal.empty() or gnss_signal == "E6B")
d_min_poly = 29; // minimal poly {
d_prim = 1; // The primitive root of the generator poly. d_nroots = 223; // number of parity symbols in a block
d_fcr = 1; // first consecutive root of the Reed-Solomon generator polynomial d_min_poly = 29; // minimal poly
d_pad = 0; // the number of pad symbols in a block. d_prim = 1; // The primitive root of the generator poly.
d_fcr = 1; // first consecutive root of the Reed-Solomon generator polynomial
d_pad = 0; // the number of pad symbols in a block.
d_shortening = 0; // shortening parameter
d_rows_G = 255; // rows of generator matrix
d_columns_G = 32; // columns of generator matrix
d_genmatrix = {
{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1},
{19, 143, 180, 59, 221, 29, 49, 45, 231, 9, 73, 73, 159, 2, 158, 136, 212, 218, 14, 113, 215, 20, 187, 55, 137, 181, 203, 113, 97, 135, 14, 251},
{27, 27, 1, 50, 255, 109, 251, 156, 148, 151, 85, 21, 74, 116, 250, 77, 60, 203, 113, 196, 213, 23, 202, 125, 31, 252, 90, 1, 176, 226, 44, 252},
{98, 153, 190, 38, 223, 28, 28, 149, 170, 219, 41, 235, 236, 175, 113, 182, 239, 31, 74, 241, 127, 121, 207, 137, 205, 70, 88, 218, 250, 129, 99, 5},
{95, 235, 199, 105, 168, 182, 233, 133, 201, 135, 171, 89, 50, 230, 115, 227, 21, 122, 41, 226, 93, 59, 20, 36, 30, 150, 134, 240, 34, 91, 183, 83},
{172, 171, 163, 123, 27, 81, 14, 251, 24, 56, 15, 35, 244, 148, 24, 35, 96, 195, 47, 232, 148, 85, 117, 91, 39, 5, 74, 71, 104, 116, 14, 128},
{117, 108, 167, 111, 201, 61, 244, 13, 5, 236, 75, 124, 11, 233, 60, 127, 101, 117, 144, 13, 51, 70, 138, 247, 188, 171, 120, 104, 141, 220, 39, 86},
{243, 8, 122, 204, 147, 89, 112, 127, 204, 217, 20, 179, 8, 167, 203, 254, 95, 38, 22, 249, 215, 127, 101, 46, 99, 252, 183, 17, 8, 122, 191, 32},
{90, 195, 11, 73, 110, 20, 55, 185, 206, 241, 12, 193, 185, 72, 141, 27, 97, 29, 251, 144, 6, 109, 129, 203, 222, 64, 164, 49, 173, 37, 167, 169},
{164, 41, 177, 10, 34, 58, 123, 165, 122, 70, 108, 145, 240, 246, 208, 134, 248, 114, 237, 129, 149, 218, 70, 63, 105, 5, 184, 222, 9, 255, 213, 153},
{211, 255, 215, 20, 146, 60, 12, 202, 1, 95, 234, 192, 175, 223, 81, 99, 59, 136, 191, 82, 138, 174, 112, 1, 21, 14, 137, 7, 4, 238, 50, 246},
{220, 94, 230, 67, 248, 163, 186, 77, 68, 20, 1, 180, 150, 94, 127, 36, 154, 47, 101, 114, 172, 174, 172, 248, 130, 250, 55, 68, 17, 106, 3, 123},
{110, 20, 220, 172, 53, 110, 224, 20, 10, 192, 59, 46, 159, 96, 14, 203, 214, 144, 215, 141, 13, 190, 175, 232, 55, 123, 104, 223, 79, 38, 146, 169},
{164, 29, 102, 221, 199, 97, 1, 114, 215, 130, 93, 166, 31, 208, 248, 5, 40, 197, 96, 173, 136, 209, 149, 17, 74, 236, 131, 18, 231, 29, 214, 172},
{251, 94, 49, 176, 56, 250, 251, 10, 237, 114, 111, 176, 78, 90, 148, 97, 69, 174, 3, 178, 4, 16, 151, 192, 36, 202, 212, 81, 210, 20, 219, 216},
{116, 79, 18, 201, 172, 40, 33, 232, 54, 187, 32, 61, 5, 227, 55, 18, 43, 107, 202, 220, 141, 66, 224, 166, 158, 176, 61, 11, 143, 232, 112, 47},
{187, 194, 174, 69, 228, 144, 68, 94, 189, 124, 254, 101, 65, 91, 176, 76, 117, 203, 236, 169, 202, 251, 11, 110, 242, 80, 181, 94, 162, 92, 111, 54},
{29, 150, 209, 144, 66, 224, 111, 137, 81, 38, 230, 100, 15, 45, 7, 31, 208, 240, 210, 18, 111, 85, 199, 64, 247, 215, 164, 75, 231, 34, 69, 82},
{191, 102, 106, 86, 63, 166, 105, 80, 243, 169, 231, 39, 86, 171, 77, 223, 72, 220, 171, 98, 179, 115, 160, 191, 202, 89, 192, 20, 178, 54, 121, 137},
{254, 252, 23, 88, 159, 236, 167, 50, 34, 70, 225, 175, 28, 89, 25, 150, 163, 25, 241, 87, 152, 213, 166, 176, 237, 50, 249, 60, 144, 205, 27, 81},
{138, 9, 193, 221, 141, 92, 54, 239, 124, 193, 92, 251, 33, 190, 134, 68, 160, 220, 80, 210, 146, 184, 240, 135, 188, 129, 101, 218, 102, 213, 132, 199},
{184, 160, 40, 202, 31, 235, 178, 121, 225, 205, 231, 122, 61, 178, 191, 195, 55, 13, 2, 41, 245, 69, 128, 182, 5, 90, 7, 28, 79, 58, 11, 43},
{247, 8, 171, 147, 180, 87, 67, 121, 151, 143, 177, 155, 64, 107, 163, 222, 211, 152, 178, 184, 68, 211, 218, 210, 252, 37, 84, 189, 44, 186, 133, 134},
{31, 50, 155, 253, 213, 220, 84, 174, 239, 85, 87, 105, 214, 81, 160, 211, 90, 32, 239, 171, 171, 238, 177, 234, 36, 233, 216, 77, 44, 173, 205, 253},
{113, 18, 35, 135, 205, 43, 156, 23, 127, 169, 162, 160, 15, 49, 202, 100, 165, 163, 175, 30, 199, 19, 141, 197, 211, 200, 134, 41, 215, 154, 34, 31},
{204, 239, 127, 208, 89, 187, 30, 192, 37, 152, 221, 214, 211, 49, 93, 9, 93, 38, 25, 9, 6, 86, 219, 250, 25, 161, 185, 32, 98, 177, 32, 121},
{72, 7, 24, 67, 1, 245, 154, 234, 84, 179, 37, 96, 222, 33, 64, 228, 78, 254, 194, 19, 197, 60, 60, 241, 58, 151, 184, 179, 233, 70, 85, 97},
{253, 151, 182, 118, 101, 136, 118, 241, 195, 26, 152, 14, 225, 28, 193, 165, 140, 82, 138, 36, 216, 2, 152, 228, 117, 234, 180, 94, 11, 25, 50, 148},
{20, 35, 254, 1, 198, 250, 222, 43, 98, 131, 180, 54, 101, 212, 227, 212, 85, 247, 217, 50, 117, 7, 116, 145, 101, 136, 176, 12, 83, 1, 146, 170},
{145, 235, 144, 178, 16, 181, 198, 59, 220, 241, 197, 242, 187, 44, 243, 109, 86, 53, 21, 48, 83, 149, 252, 147, 181, 124, 48, 89, 151, 149, 227, 188},
{214, 115, 72, 209, 6, 224, 24, 39, 114, 233, 248, 204, 31, 222, 125, 2, 236, 241, 19, 132, 104, 150, 172, 254, 222, 170, 104, 161, 199, 252, 179, 230},
{241, 67, 229, 75, 108, 250, 81, 179, 127, 247, 83, 66, 159, 206, 107, 96, 58, 217, 252, 157, 139, 17, 235, 115, 5, 174, 191, 230, 233, 49, 241, 241},
{165, 246, 113, 208, 142, 14, 235, 211, 178, 85, 75, 239, 238, 96, 147, 129, 143, 18, 30, 123, 124, 195, 21, 230, 104, 198, 220, 56, 202, 53, 246, 99},
{219, 121, 50, 105, 81, 61, 239, 218, 41, 238, 236, 242, 77, 40, 161, 123, 92, 58, 122, 26, 3, 147, 12, 163, 109, 207, 110, 216, 66, 41, 93, 220},
{56, 105, 223, 38, 38, 53, 34, 72, 93, 91, 133, 135, 1, 232, 7, 61, 70, 61, 102, 124, 94, 21, 181, 225, 227, 23, 51, 104, 159, 94, 117, 98},
{200, 107, 25, 252, 122, 136, 229, 62, 85, 8, 171, 117, 186, 197, 183, 103, 52, 41, 91, 19, 211, 165, 97, 52, 227, 241, 116, 70, 115, 251, 56, 164},
{99, 62, 142, 10, 191, 175, 135, 155, 202, 184, 151, 52, 17, 239, 5, 26, 201, 44, 159, 38, 76, 235, 82, 145, 61, 162, 223, 9, 169, 204, 77, 189},
{197, 14, 41, 244, 99, 82, 51, 75, 53, 246, 248, 215, 70, 118, 32, 124, 79, 180, 4, 127, 169, 157, 105, 103, 85, 151, 125, 63, 246, 69, 228, 179},
{55, 161, 79, 12, 207, 40, 253, 100, 230, 119, 111, 97, 76, 61, 94, 122, 5, 74, 200, 112, 206, 160, 19, 75, 142, 167, 222, 9, 180, 99, 57, 177},
{17, 80, 149, 28, 144, 190, 229, 240, 26, 182, 124, 100, 217, 51, 52, 9, 182, 169, 42, 94, 114, 239, 69, 95, 173, 11, 101, 72, 64, 50, 3, 135},
{12, 91, 119, 248, 135, 229, 140, 37, 129, 209, 39, 237, 182, 202, 102, 204, 89, 159, 208, 66, 154, 204, 54, 66, 32, 13, 61, 13, 184, 70, 75, 128},
{117, 204, 87, 187, 74, 161, 64, 143, 219, 117, 162, 84, 197, 171, 98, 1, 138, 76, 204, 242, 153, 72, 19, 180, 165, 172, 112, 31, 199, 12, 21, 19},
{24, 225, 130, 141, 144, 160, 197, 221, 109, 80, 74, 157, 237, 227, 1, 143, 161, 216, 190, 28, 103, 248, 231, 29, 74, 248, 192, 160, 226, 203, 254, 14},
{242, 17, 183, 221, 223, 54, 147, 94, 222, 19, 137, 147, 116, 241, 4, 34, 163, 217, 140, 42, 34, 191, 244, 240, 48, 18, 110, 84, 212, 155, 159, 85},
{198, 3, 198, 145, 91, 104, 40, 111, 171, 25, 48, 170, 91, 222, 108, 67, 99, 147, 168, 118, 148, 82, 76, 9, 226, 178, 78, 148, 151, 183, 234, 136},
{237, 10, 198, 207, 133, 149, 88, 94, 250, 23, 24, 49, 14, 86, 242, 63, 235, 232, 176, 37, 91, 230, 60, 107, 210, 175, 217, 195, 113, 111, 148, 57},
{252, 70, 251, 156, 71, 58, 104, 35, 181, 22, 29, 18, 45, 124, 115, 246, 91, 204, 171, 171, 10, 8, 109, 87, 86, 26, 6, 194, 111, 15, 44, 249},
{61, 247, 189, 11, 255, 205, 190, 159, 73, 215, 216, 211, 50, 194, 165, 173, 247, 237, 123, 131, 188, 226, 189, 197, 112, 84, 126, 46, 193, 255, 184, 53},
{40, 156, 37, 206, 118, 220, 97, 4, 164, 201, 150, 153, 5, 88, 33, 143, 80, 1, 230, 22, 33, 31, 14, 175, 218, 151, 224, 19, 52, 213, 244, 149},
{7, 121, 65, 169, 163, 244, 187, 17, 112, 237, 46, 113, 109, 50, 57, 188, 171, 241, 132, 47, 144, 234, 210, 48, 167, 146, 6, 41, 127, 185, 80, 151},
{33, 85, 209, 187, 99, 27, 241, 145, 182, 43, 152, 91, 166, 94, 114, 169, 45, 163, 104, 175, 26, 115, 76, 130, 55, 152, 136, 45, 135, 225, 32, 216},
{116, 149, 25, 41, 167, 115, 192, 226, 173, 224, 121, 202, 238, 11, 51, 244, 227, 3, 199, 183, 144, 92, 131, 125, 220, 163, 111, 87, 243, 189, 133, 212},
{160, 202, 250, 200, 192, 43, 249, 18, 14, 151, 249, 96, 181, 91, 160, 155, 39, 28, 47, 110, 5, 38, 203, 203, 1, 103, 73, 198, 63, 163, 145, 49},
{100, 7, 242, 101, 230, 151, 67, 247, 146, 170, 239, 129, 240, 215, 250, 144, 17, 158, 47, 155, 183, 246, 28, 5, 202, 8, 216, 253, 69, 13, 144, 119},
{186, 166, 166, 145, 230, 236, 133, 44, 96, 122, 206, 139, 96, 30, 65, 96, 251, 202, 46, 177, 105, 85, 144, 33, 232, 28, 135, 70, 64, 24, 189, 122},
{125, 253, 144, 215, 58, 109, 158, 6, 140, 237, 28, 168, 63, 148, 208, 125, 70, 43, 60, 183, 25, 111, 239, 227, 103, 164, 69, 30, 44, 240, 238, 236},
{79, 231, 215, 32, 107, 20, 43, 26, 230, 83, 183, 70, 84, 250, 132, 244, 30, 68, 74, 255, 253, 232, 200, 251, 43, 161, 44, 134, 187, 133, 145, 204},
{21, 229, 206, 84, 62, 194, 60, 102, 75, 4, 220, 56, 176, 209, 192, 112, 8, 94, 248, 15, 74, 182, 177, 114, 195, 206, 113, 105, 159, 63, 57, 165},
{112, 108, 180, 230, 202, 246, 252, 111, 117, 175, 210, 10, 195, 231, 143, 229, 10, 202, 230, 244, 135, 102, 250, 118, 242, 55, 43, 125, 231, 167, 135, 71},
{205, 154, 65, 115, 150, 138, 189, 176, 159, 48, 250, 135, 228, 77, 78, 173, 208, 178, 71, 189, 8, 130, 129, 62, 19, 152, 204, 112, 34, 15, 42, 112},
{195, 133, 16, 131, 217, 207, 15, 17, 168, 72, 182, 124, 156, 4, 38, 75, 208, 55, 40, 147, 80, 134, 226, 57, 75, 233, 92, 24, 247, 205, 149, 27},
{128, 91, 2, 15, 14, 219, 62, 231, 152, 107, 5, 251, 73, 170, 42, 255, 5, 28, 181, 87, 240, 145, 152, 73, 251, 215, 147, 35, 202, 183, 79, 5},
{95, 9, 5, 213, 129, 103, 46, 167, 187, 181, 27, 117, 34, 67, 118, 184, 92, 144, 42, 29, 251, 180, 252, 115, 222, 160, 23, 59, 219, 107, 129, 127},
{34, 145, 97, 163, 240, 99, 224, 52, 91, 27, 163, 13, 24, 220, 81, 216, 61, 25, 80, 27, 25, 185, 99, 100, 162, 201, 57, 38, 169, 202, 171, 224},
{155, 178, 152, 248, 234, 66, 116, 165, 4, 232, 10, 178, 59, 197, 10, 91, 34, 238, 48, 229, 220, 24, 121, 14, 142, 75, 92, 140, 53, 106, 227, 201},
{74, 184, 197, 204, 104, 42, 159, 160, 168, 203, 23, 245, 157, 180, 35, 108, 4, 247, 100, 221, 252, 211, 44, 40, 161, 48, 91, 177, 109, 16, 224, 231},
{226, 80, 154, 253, 172, 137, 170, 25, 31, 36, 56, 228, 57, 78, 159, 182, 128, 235, 244, 155, 5, 145, 21, 196, 90, 100, 238, 164, 152, 28, 19, 89},
{18, 25, 164, 149, 142, 135, 198, 151, 60, 180, 76, 80, 230, 139, 21, 246, 110, 97, 210, 120, 168, 133, 5, 145, 244, 247, 37, 98, 209, 145, 37, 68},
{248, 116, 245, 46, 159, 233, 159, 253, 83, 98, 58, 194, 2, 110, 157, 178, 162, 165, 254, 26, 224, 145, 178, 152, 114, 92, 76, 237, 158, 173, 14, 194},
{231, 91, 11, 41, 98, 144, 242, 73, 175, 207, 52, 108, 221, 155, 179, 74, 98, 154, 77, 47, 145, 115, 196, 31, 141, 207, 26, 157, 128, 99, 69, 145},
{75, 176, 108, 107, 23, 148, 51, 54, 134, 194, 17, 234, 222, 226, 184, 52, 25, 140, 39, 93, 210, 10, 104, 38, 9, 43, 85, 10, 104, 43, 222, 237},
{92, 94, 46, 231, 10, 36, 227, 154, 49, 80, 209, 2, 137, 25, 108, 20, 131, 193, 227, 149, 192, 55, 22, 75, 103, 122, 104, 231, 206, 70, 68, 7},
{121, 214, 117, 143, 206, 89, 179, 32, 21, 14, 178, 51, 248, 135, 228, 243, 2, 191, 235, 169, 138, 172, 49, 147, 211, 75, 49, 34, 221, 124, 108, 159},
{185, 39, 183, 74, 227, 158, 201, 236, 236, 6, 9, 181, 104, 219, 67, 64, 140, 148, 86, 111, 106, 201, 187, 196, 168, 45, 71, 181, 163, 15, 149, 111},
{15, 111, 192, 134, 62, 204, 46, 57, 198, 220, 244, 251, 221, 182, 220, 133, 4, 232, 180, 36, 154, 117, 97, 116, 109, 32, 152, 53, 121, 42, 47, 255},
{87, 1, 11, 170, 17, 250, 238, 55, 59, 146, 185, 145, 190, 62, 12, 21, 70, 84, 123, 167, 251, 10, 125, 123, 66, 246, 196, 139, 109, 220, 185, 22},
{71, 74, 17, 6, 15, 146, 107, 234, 137, 157, 221, 246, 241, 146, 72, 115, 22, 129, 144, 3, 158, 222, 200, 152, 18, 68, 90, 188, 142, 192, 24, 146},
{126, 156, 188, 60, 66, 222, 98, 216, 17, 255, 152, 216, 248, 200, 14, 74, 65, 139, 46, 19, 154, 57, 21, 115, 8, 118, 158, 217, 234, 177, 111, 160},
{47, 142, 147, 67, 44, 227, 21, 168, 151, 216, 89, 62, 250, 165, 74, 185, 147, 22, 5, 138, 55, 242, 24, 57, 100, 167, 83, 58, 175, 115, 63, 33},
{73, 144, 57, 155, 60, 182, 188, 241, 254, 163, 68, 197, 171, 184, 17, 18, 242, 11, 197, 242, 162, 153, 183, 129, 64, 242, 52, 164, 231, 5, 160, 210},
{202, 242, 96, 114, 134, 254, 154, 128, 117, 242, 17, 246, 223, 18, 112, 174, 3, 235, 3, 87, 136, 108, 179, 77, 236, 98, 152, 166, 151, 130, 13, 52},
{59, 228, 148, 40, 210, 184, 99, 13, 92, 252, 250, 25, 191, 183, 111, 210, 135, 47, 238, 31, 34, 63, 59, 150, 219, 190, 29, 132, 221, 4, 135, 219},
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{91, 206, 220, 176, 108, 243, 52, 201, 226, 28, 70, 196, 123, 18, 54, 236, 230, 47, 81, 109, 168, 137, 192, 19, 127, 143, 11, 161, 226, 230, 31, 19},
{24, 207, 128, 6, 155, 134, 151, 169, 43, 105, 35, 121, 125, 93, 184, 219, 76, 180, 221, 129, 248, 201, 38, 206, 237, 34, 227, 219, 92, 238, 20, 4},
{76, 30, 37, 108, 85, 239, 66, 35, 18, 15, 80, 26, 63, 117, 31, 162, 172, 3, 140, 4, 250, 168, 31, 250, 208, 3, 41, 58, 66, 122, 214, 223},
{13, 114, 121, 124, 89, 22, 163, 146, 144, 123, 191, 224, 85, 156, 229, 6, 254, 190, 77, 25, 36, 208, 94, 171, 60, 104, 191, 188, 222, 202, 52, 249},
{61, 6, 137, 137, 31, 211, 146, 84, 248, 242, 181, 113, 192, 186, 69, 59, 7, 72, 9, 101, 14, 204, 101, 246, 140, 62, 12, 151, 191, 78, 125, 45},
{157, 136, 146, 168, 3, 25, 221, 183, 210, 160, 37, 98, 46, 154, 200, 51, 233, 78, 211, 136, 192, 80, 238, 133, 173, 53, 176, 141, 252, 127, 213, 208},
{236, 37, 13, 175, 18, 251, 87, 187, 224, 204, 128, 5, 91, 147, 115, 122, 151, 89, 90, 163, 65, 38, 17, 122, 231, 248, 212, 192, 124, 138, 107, 170},
{145, 19, 150, 65, 190, 97, 199, 178, 76, 115, 138, 198, 136, 18, 180, 253, 248, 247, 187, 179, 194, 161, 221, 246, 94, 254, 64, 61, 91, 186, 104, 69},
{235, 120, 75, 39, 150, 196, 72, 209, 145, 27, 180, 77, 11, 2, 154, 155, 125, 233, 102, 2, 252, 239, 45, 119, 156, 67, 142, 249, 160, 160, 43, 116},
{143, 165, 24, 101, 222, 187, 133, 80, 114, 98, 164, 11, 16, 227, 43, 133, 145, 213, 75, 107, 148, 34, 89, 73, 28, 136, 140, 131, 231, 105, 2, 209},
{255, 184, 148, 30, 2, 59, 196, 206, 224, 101, 11, 205, 173, 175, 148, 17, 245, 251, 207, 74, 117, 102, 216, 250, 162, 252, 162, 141, 19, 22, 115, 134},
{31, 58, 43, 194, 88, 106, 56, 41, 88, 34, 189, 211, 128, 188, 100, 228, 149, 6, 140, 214, 89, 223, 4, 232, 12, 183, 1, 187, 28, 146, 97, 11},
{173, 159, 50, 163, 30, 151, 172, 58, 118, 11, 139, 20, 227, 150, 135, 213, 107, 120, 100, 176, 68, 197, 190, 248, 82, 15, 225, 61, 55, 196, 240, 250},
{8, 42, 165, 143, 186, 179, 64, 44, 100, 15, 30, 158, 136, 10, 240, 220, 181, 174, 221, 223, 195, 144, 160, 79, 89, 146, 43, 90, 157, 51, 97, 249},
{61, 3, 209, 85, 236, 48, 55, 183, 70, 6, 193, 208, 190, 103, 211, 46, 221, 3, 25, 245, 200, 43, 37, 8, 104, 91, 246, 3, 89, 13, 132, 120},
{91, 121, 64, 214, 89, 93, 32, 238, 196, 217, 242, 53, 71, 78, 136, 226, 189, 164, 233, 98, 238, 230, 250, 56, 65, 83, 137, 141, 171, 250, 231, 62},
{133, 122, 163, 187, 119, 181, 55, 152, 138, 23, 49, 26, 211, 59, 150, 19, 144, 166, 205, 184, 82, 209, 107, 20, 157, 165, 177, 216, 27, 103, 147, 81},
{138, 114, 71, 105, 110, 180, 111, 127, 214, 105, 13, 43, 148, 113, 228, 203, 37, 239, 239, 238, 125, 114, 244, 74, 24, 241, 242, 146, 130, 94, 46, 79},
{85, 108, 150, 69, 191, 198, 106, 86, 228, 219, 78, 42, 73, 10, 92, 242, 16, 3, 18, 27, 228, 216, 36, 149, 19, 179, 28, 6, 226, 38, 163, 82},
{191, 46, 144, 17, 234, 91, 79, 85, 44, 28, 26, 143, 24, 237, 106, 132, 165, 28, 88, 162, 186, 248, 45, 92, 31, 189, 164, 172, 255, 51, 125, 111},
{15, 105, 201, 161, 101, 197, 235, 191, 127, 28, 238, 232, 231, 198, 234, 172, 192, 193, 60, 42, 87, 165, 80, 226, 245, 151, 8, 214, 96, 118, 19, 23},
{84, 157, 205, 255, 217, 251, 101, 194, 230, 208, 26, 232, 23, 201, 46, 29, 123, 221, 11, 53, 196, 102, 220, 130, 2, 70, 240, 1, 178, 74, 188, 195},
{244, 120, 86, 42, 110, 203, 209, 158, 119, 115, 207, 5, 104, 140, 138, 113, 25, 153, 59, 171, 105, 67, 136, 70, 30, 10, 203, 80, 13, 200, 172, 216},
{116, 64, 52, 174, 54, 126, 16, 194, 162, 33, 33, 157, 176, 197, 225, 12, 59, 55, 253, 228, 148, 47, 179, 185, 24, 138, 253, 20, 142, 55, 172, 88}};
d_genpoly_coeff = {88, 216, 195, 23, 111, 82, 79, 81, 62, 120, 249, 250, 11, 134, 209, 116, 69, 170, 208, 45, 249, 223, 4, 19, 120, 81, 182, 217, 44, 65, 93, 34, 118, 227, 112, 28, 65, 48, 244, 165, 242, 216, 121, 50, 171, 32, 217, 166, 133, 134, 4, 120, 54, 42, 13, 24, 95, 228, 173, 247, 80, 42, 89, 68, 81, 181, 112, 51, 118, 108, 243, 223, 18, 38, 230, 1, 28, 109, 131, 14, 234, 151, 21, 108, 7, 176, 236, 147, 175, 183, 66, 35, 178, 243, 36, 115, 255, 51, 36, 6, 120, 163, 59, 9, 214, 102, 109, 253, 152, 137, 1, 144, 124, 241, 143, 71, 91, 227, 28, 174, 13, 157, 78, 20, 192, 64, 130, 45, 39, 46, 229, 171, 193, 252, 43, 165, 88, 180, 179, 183, 88, 99, 219, 52, 210, 33, 160, 146, 22, 255, 111, 159, 7, 237, 145, 194, 68, 89, 231, 201, 224, 127, 5, 27, 112, 71, 165, 204, 236, 122, 119, 49, 212, 216, 151, 149, 53, 249, 57, 136, 85, 14, 19, 128, 135, 177, 179, 189, 164, 98, 220, 99, 241, 230, 188, 170, 148, 97, 121, 31, 253, 134, 43, 199, 81, 137, 82, 54, 47, 216, 172, 169, 123, 246, 153, 169, 32, 86, 128, 83, 5, 252, 251, 1};
}
if (gnss_signal == "E1B")
{
d_nroots = 60;
d_min_poly = 29;
d_prim = 1;
d_fcr = 195;
d_pad = 0;
d_shortening = 137;
d_rows_G = 118;
d_columns_G = 58;
d_genmatrix = {
{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{76, 132, 133, 106, 171, 24, 138, 136, 53, 120, 173, 40, 116, 36, 165, 27, 205, 167, 81, 15, 168, 148, 227, 184, 214, 205, 123, 4, 108, 148, 229, 196, 244, 145, 144, 100, 250, 196, 117, 187, 145, 44, 231, 188, 176, 64, 13, 231, 127, 178, 180, 241, 61, 83, 21, 91, 102, 129},
{48, 210, 222, 175, 41, 107, 16, 81, 186, 110, 8, 71, 8, 48, 88, 203, 67, 80, 210, 123, 187, 227, 142, 241, 160, 79, 25, 237, 118, 57, 179, 239, 140, 1, 31, 71, 136, 158, 180, 190, 132, 130, 153, 179, 180, 177, 193, 7, 102, 67, 155, 145, 219, 53, 159, 224, 186, 35},
{42, 92, 106, 223, 29, 129, 147, 140, 69, 29, 215, 161, 128, 231, 13, 182, 77, 14, 138, 211, 22, 241, 200, 93, 228, 145, 118, 141, 106, 107, 163, 117, 132, 109, 128, 7, 172, 160, 39, 197, 49, 72, 240, 155, 75, 171, 149, 7, 35, 200, 99, 63, 144, 35, 25, 126, 144, 74},
{208, 233, 31, 47, 4, 122, 82, 145, 161, 246, 27, 245, 202, 177, 213, 121, 8, 131, 31, 207, 85, 30, 100, 142, 53, 205, 170, 102, 118, 16, 234, 141, 112, 36, 21, 182, 63, 246, 166, 158, 44, 135, 62, 122, 72, 187, 234, 187, 70, 199, 128, 31, 122, 67, 112, 185, 130, 81}};
d_genpoly_coeff = {1, 208, 42, 48, 76, 19, 41, 108, 167, 235, 166, 244, 186, 18, 124, 251, 79, 193, 14, 154, 6, 118, 19, 3, 122, 9, 187, 42, 131, 46, 66, 65, 62, 94, 101, 45, 214, 141, 131, 230, 102, 20, 63, 202, 36, 23, 188, 88, 169, 62, 73, 88, 152, 197, 231, 58, 101, 154, 190, 91, 193};
}
if (!gnss_signal.empty() && ((gnss_signal != "E6B") && gnss_signal != "E1B"))
{
std::cerr << "Unknown Reead Solomon configuration. Setting basic defaults for Galileo E6B.\n";
// Set E6B parameters by default
d_nroots = 223; // number of parity symbols in a block
d_min_poly = 29; // minimal poly
d_prim = 1; // The primitive root of the generator poly.
d_fcr = 1; // first consecutive root of the Reed-Solomon generator polynomial
d_pad = 0; // the number of pad symbols in a block.
d_shortening = 0; // shortening parameter
d_rows_G = 0;
d_columns_G = 0;
d_genpoly_coeff = {88, 216, 195, 23, 111, 82, 79, 81, 62, 120, 249, 250, 11, 134, 209, 116, 69, 170, 208, 45, 249, 223, 4, 19, 120, 81, 182, 217, 44, 65, 93, 34, 118, 227, 112, 28, 65, 48, 244, 165, 242, 216, 121, 50, 171, 32, 217, 166, 133, 134, 4, 120, 54, 42, 13, 24, 95, 228, 173, 247, 80, 42, 89, 68, 81, 181, 112, 51, 118, 108, 243, 223, 18, 38, 230, 1, 28, 109, 131, 14, 234, 151, 21, 108, 7, 176, 236, 147, 175, 183, 66, 35, 178, 243, 36, 115, 255, 51, 36, 6, 120, 163, 59, 9, 214, 102, 109, 253, 152, 137, 1, 144, 124, 241, 143, 71, 91, 227, 28, 174, 13, 157, 78, 20, 192, 64, 130, 45, 39, 46, 229, 171, 193, 252, 43, 165, 88, 180, 179, 183, 88, 99, 219, 52, 210, 33, 160, 146, 22, 255, 111, 159, 7, 237, 145, 194, 68, 89, 231, 201, 224, 127, 5, 27, 112, 71, 165, 204, 236, 122, 119, 49, 212, 216, 151, 149, 53, 249, 57, 136, 85, 14, 19, 128, 135, 177, 179, 189, 164, 98, 220, 99, 241, 230, 188, 170, 148, 97, 121, 31, 253, 134, 43, 199, 81, 137, 82, 54, 47, 216, 172, 169, 123, 246, 153, 169, 32, 86, 128, 83, 5, 252, 251, 1};
}
d_data_in_block = d_symbols_per_block - d_nroots; d_data_in_block = d_symbols_per_block - d_nroots;
d_info_symbols_shortened = d_data_in_block - d_shortening;
d_data_symbols_shortened = d_symbols_per_block - d_shortening;
d_a0 = static_cast<uint8_t>(d_symbols_per_block); d_a0 = static_cast<uint8_t>(d_symbols_per_block);
d_genmatrix = {
{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1},
{19, 143, 180, 59, 221, 29, 49, 45, 231, 9, 73, 73, 159, 2, 158, 136, 212, 218, 14, 113, 215, 20, 187, 55, 137, 181, 203, 113, 97, 135, 14, 251},
{27, 27, 1, 50, 255, 109, 251, 156, 148, 151, 85, 21, 74, 116, 250, 77, 60, 203, 113, 196, 213, 23, 202, 125, 31, 252, 90, 1, 176, 226, 44, 252},
{98, 153, 190, 38, 223, 28, 28, 149, 170, 219, 41, 235, 236, 175, 113, 182, 239, 31, 74, 241, 127, 121, 207, 137, 205, 70, 88, 218, 250, 129, 99, 5},
{95, 235, 199, 105, 168, 182, 233, 133, 201, 135, 171, 89, 50, 230, 115, 227, 21, 122, 41, 226, 93, 59, 20, 36, 30, 150, 134, 240, 34, 91, 183, 83},
{172, 171, 163, 123, 27, 81, 14, 251, 24, 56, 15, 35, 244, 148, 24, 35, 96, 195, 47, 232, 148, 85, 117, 91, 39, 5, 74, 71, 104, 116, 14, 128},
{117, 108, 167, 111, 201, 61, 244, 13, 5, 236, 75, 124, 11, 233, 60, 127, 101, 117, 144, 13, 51, 70, 138, 247, 188, 171, 120, 104, 141, 220, 39, 86},
{243, 8, 122, 204, 147, 89, 112, 127, 204, 217, 20, 179, 8, 167, 203, 254, 95, 38, 22, 249, 215, 127, 101, 46, 99, 252, 183, 17, 8, 122, 191, 32},
{90, 195, 11, 73, 110, 20, 55, 185, 206, 241, 12, 193, 185, 72, 141, 27, 97, 29, 251, 144, 6, 109, 129, 203, 222, 64, 164, 49, 173, 37, 167, 169},
{164, 41, 177, 10, 34, 58, 123, 165, 122, 70, 108, 145, 240, 246, 208, 134, 248, 114, 237, 129, 149, 218, 70, 63, 105, 5, 184, 222, 9, 255, 213, 153},
{211, 255, 215, 20, 146, 60, 12, 202, 1, 95, 234, 192, 175, 223, 81, 99, 59, 136, 191, 82, 138, 174, 112, 1, 21, 14, 137, 7, 4, 238, 50, 246},
{220, 94, 230, 67, 248, 163, 186, 77, 68, 20, 1, 180, 150, 94, 127, 36, 154, 47, 101, 114, 172, 174, 172, 248, 130, 250, 55, 68, 17, 106, 3, 123},
{110, 20, 220, 172, 53, 110, 224, 20, 10, 192, 59, 46, 159, 96, 14, 203, 214, 144, 215, 141, 13, 190, 175, 232, 55, 123, 104, 223, 79, 38, 146, 169},
{164, 29, 102, 221, 199, 97, 1, 114, 215, 130, 93, 166, 31, 208, 248, 5, 40, 197, 96, 173, 136, 209, 149, 17, 74, 236, 131, 18, 231, 29, 214, 172},
{251, 94, 49, 176, 56, 250, 251, 10, 237, 114, 111, 176, 78, 90, 148, 97, 69, 174, 3, 178, 4, 16, 151, 192, 36, 202, 212, 81, 210, 20, 219, 216},
{116, 79, 18, 201, 172, 40, 33, 232, 54, 187, 32, 61, 5, 227, 55, 18, 43, 107, 202, 220, 141, 66, 224, 166, 158, 176, 61, 11, 143, 232, 112, 47},
{187, 194, 174, 69, 228, 144, 68, 94, 189, 124, 254, 101, 65, 91, 176, 76, 117, 203, 236, 169, 202, 251, 11, 110, 242, 80, 181, 94, 162, 92, 111, 54},
{29, 150, 209, 144, 66, 224, 111, 137, 81, 38, 230, 100, 15, 45, 7, 31, 208, 240, 210, 18, 111, 85, 199, 64, 247, 215, 164, 75, 231, 34, 69, 82},
{191, 102, 106, 86, 63, 166, 105, 80, 243, 169, 231, 39, 86, 171, 77, 223, 72, 220, 171, 98, 179, 115, 160, 191, 202, 89, 192, 20, 178, 54, 121, 137},
{254, 252, 23, 88, 159, 236, 167, 50, 34, 70, 225, 175, 28, 89, 25, 150, 163, 25, 241, 87, 152, 213, 166, 176, 237, 50, 249, 60, 144, 205, 27, 81},
{138, 9, 193, 221, 141, 92, 54, 239, 124, 193, 92, 251, 33, 190, 134, 68, 160, 220, 80, 210, 146, 184, 240, 135, 188, 129, 101, 218, 102, 213, 132, 199},
{184, 160, 40, 202, 31, 235, 178, 121, 225, 205, 231, 122, 61, 178, 191, 195, 55, 13, 2, 41, 245, 69, 128, 182, 5, 90, 7, 28, 79, 58, 11, 43},
{247, 8, 171, 147, 180, 87, 67, 121, 151, 143, 177, 155, 64, 107, 163, 222, 211, 152, 178, 184, 68, 211, 218, 210, 252, 37, 84, 189, 44, 186, 133, 134},
{31, 50, 155, 253, 213, 220, 84, 174, 239, 85, 87, 105, 214, 81, 160, 211, 90, 32, 239, 171, 171, 238, 177, 234, 36, 233, 216, 77, 44, 173, 205, 253},
{113, 18, 35, 135, 205, 43, 156, 23, 127, 169, 162, 160, 15, 49, 202, 100, 165, 163, 175, 30, 199, 19, 141, 197, 211, 200, 134, 41, 215, 154, 34, 31},
{204, 239, 127, 208, 89, 187, 30, 192, 37, 152, 221, 214, 211, 49, 93, 9, 93, 38, 25, 9, 6, 86, 219, 250, 25, 161, 185, 32, 98, 177, 32, 121},
{72, 7, 24, 67, 1, 245, 154, 234, 84, 179, 37, 96, 222, 33, 64, 228, 78, 254, 194, 19, 197, 60, 60, 241, 58, 151, 184, 179, 233, 70, 85, 97},
{253, 151, 182, 118, 101, 136, 118, 241, 195, 26, 152, 14, 225, 28, 193, 165, 140, 82, 138, 36, 216, 2, 152, 228, 117, 234, 180, 94, 11, 25, 50, 148},
{20, 35, 254, 1, 198, 250, 222, 43, 98, 131, 180, 54, 101, 212, 227, 212, 85, 247, 217, 50, 117, 7, 116, 145, 101, 136, 176, 12, 83, 1, 146, 170},
{145, 235, 144, 178, 16, 181, 198, 59, 220, 241, 197, 242, 187, 44, 243, 109, 86, 53, 21, 48, 83, 149, 252, 147, 181, 124, 48, 89, 151, 149, 227, 188},
{214, 115, 72, 209, 6, 224, 24, 39, 114, 233, 248, 204, 31, 222, 125, 2, 236, 241, 19, 132, 104, 150, 172, 254, 222, 170, 104, 161, 199, 252, 179, 230},
{241, 67, 229, 75, 108, 250, 81, 179, 127, 247, 83, 66, 159, 206, 107, 96, 58, 217, 252, 157, 139, 17, 235, 115, 5, 174, 191, 230, 233, 49, 241, 241},
{165, 246, 113, 208, 142, 14, 235, 211, 178, 85, 75, 239, 238, 96, 147, 129, 143, 18, 30, 123, 124, 195, 21, 230, 104, 198, 220, 56, 202, 53, 246, 99},
{219, 121, 50, 105, 81, 61, 239, 218, 41, 238, 236, 242, 77, 40, 161, 123, 92, 58, 122, 26, 3, 147, 12, 163, 109, 207, 110, 216, 66, 41, 93, 220},
{56, 105, 223, 38, 38, 53, 34, 72, 93, 91, 133, 135, 1, 232, 7, 61, 70, 61, 102, 124, 94, 21, 181, 225, 227, 23, 51, 104, 159, 94, 117, 98},
{200, 107, 25, 252, 122, 136, 229, 62, 85, 8, 171, 117, 186, 197, 183, 103, 52, 41, 91, 19, 211, 165, 97, 52, 227, 241, 116, 70, 115, 251, 56, 164},
{99, 62, 142, 10, 191, 175, 135, 155, 202, 184, 151, 52, 17, 239, 5, 26, 201, 44, 159, 38, 76, 235, 82, 145, 61, 162, 223, 9, 169, 204, 77, 189},
{197, 14, 41, 244, 99, 82, 51, 75, 53, 246, 248, 215, 70, 118, 32, 124, 79, 180, 4, 127, 169, 157, 105, 103, 85, 151, 125, 63, 246, 69, 228, 179},
{55, 161, 79, 12, 207, 40, 253, 100, 230, 119, 111, 97, 76, 61, 94, 122, 5, 74, 200, 112, 206, 160, 19, 75, 142, 167, 222, 9, 180, 99, 57, 177},
{17, 80, 149, 28, 144, 190, 229, 240, 26, 182, 124, 100, 217, 51, 52, 9, 182, 169, 42, 94, 114, 239, 69, 95, 173, 11, 101, 72, 64, 50, 3, 135},
{12, 91, 119, 248, 135, 229, 140, 37, 129, 209, 39, 237, 182, 202, 102, 204, 89, 159, 208, 66, 154, 204, 54, 66, 32, 13, 61, 13, 184, 70, 75, 128},
{117, 204, 87, 187, 74, 161, 64, 143, 219, 117, 162, 84, 197, 171, 98, 1, 138, 76, 204, 242, 153, 72, 19, 180, 165, 172, 112, 31, 199, 12, 21, 19},
{24, 225, 130, 141, 144, 160, 197, 221, 109, 80, 74, 157, 237, 227, 1, 143, 161, 216, 190, 28, 103, 248, 231, 29, 74, 248, 192, 160, 226, 203, 254, 14},
{242, 17, 183, 221, 223, 54, 147, 94, 222, 19, 137, 147, 116, 241, 4, 34, 163, 217, 140, 42, 34, 191, 244, 240, 48, 18, 110, 84, 212, 155, 159, 85},
{198, 3, 198, 145, 91, 104, 40, 111, 171, 25, 48, 170, 91, 222, 108, 67, 99, 147, 168, 118, 148, 82, 76, 9, 226, 178, 78, 148, 151, 183, 234, 136},
{237, 10, 198, 207, 133, 149, 88, 94, 250, 23, 24, 49, 14, 86, 242, 63, 235, 232, 176, 37, 91, 230, 60, 107, 210, 175, 217, 195, 113, 111, 148, 57},
{252, 70, 251, 156, 71, 58, 104, 35, 181, 22, 29, 18, 45, 124, 115, 246, 91, 204, 171, 171, 10, 8, 109, 87, 86, 26, 6, 194, 111, 15, 44, 249},
{61, 247, 189, 11, 255, 205, 190, 159, 73, 215, 216, 211, 50, 194, 165, 173, 247, 237, 123, 131, 188, 226, 189, 197, 112, 84, 126, 46, 193, 255, 184, 53},
{40, 156, 37, 206, 118, 220, 97, 4, 164, 201, 150, 153, 5, 88, 33, 143, 80, 1, 230, 22, 33, 31, 14, 175, 218, 151, 224, 19, 52, 213, 244, 149},
{7, 121, 65, 169, 163, 244, 187, 17, 112, 237, 46, 113, 109, 50, 57, 188, 171, 241, 132, 47, 144, 234, 210, 48, 167, 146, 6, 41, 127, 185, 80, 151},
{33, 85, 209, 187, 99, 27, 241, 145, 182, 43, 152, 91, 166, 94, 114, 169, 45, 163, 104, 175, 26, 115, 76, 130, 55, 152, 136, 45, 135, 225, 32, 216},
{116, 149, 25, 41, 167, 115, 192, 226, 173, 224, 121, 202, 238, 11, 51, 244, 227, 3, 199, 183, 144, 92, 131, 125, 220, 163, 111, 87, 243, 189, 133, 212},
{160, 202, 250, 200, 192, 43, 249, 18, 14, 151, 249, 96, 181, 91, 160, 155, 39, 28, 47, 110, 5, 38, 203, 203, 1, 103, 73, 198, 63, 163, 145, 49},
{100, 7, 242, 101, 230, 151, 67, 247, 146, 170, 239, 129, 240, 215, 250, 144, 17, 158, 47, 155, 183, 246, 28, 5, 202, 8, 216, 253, 69, 13, 144, 119},
{186, 166, 166, 145, 230, 236, 133, 44, 96, 122, 206, 139, 96, 30, 65, 96, 251, 202, 46, 177, 105, 85, 144, 33, 232, 28, 135, 70, 64, 24, 189, 122},
{125, 253, 144, 215, 58, 109, 158, 6, 140, 237, 28, 168, 63, 148, 208, 125, 70, 43, 60, 183, 25, 111, 239, 227, 103, 164, 69, 30, 44, 240, 238, 236},
{79, 231, 215, 32, 107, 20, 43, 26, 230, 83, 183, 70, 84, 250, 132, 244, 30, 68, 74, 255, 253, 232, 200, 251, 43, 161, 44, 134, 187, 133, 145, 204},
{21, 229, 206, 84, 62, 194, 60, 102, 75, 4, 220, 56, 176, 209, 192, 112, 8, 94, 248, 15, 74, 182, 177, 114, 195, 206, 113, 105, 159, 63, 57, 165},
{112, 108, 180, 230, 202, 246, 252, 111, 117, 175, 210, 10, 195, 231, 143, 229, 10, 202, 230, 244, 135, 102, 250, 118, 242, 55, 43, 125, 231, 167, 135, 71},
{205, 154, 65, 115, 150, 138, 189, 176, 159, 48, 250, 135, 228, 77, 78, 173, 208, 178, 71, 189, 8, 130, 129, 62, 19, 152, 204, 112, 34, 15, 42, 112},
{195, 133, 16, 131, 217, 207, 15, 17, 168, 72, 182, 124, 156, 4, 38, 75, 208, 55, 40, 147, 80, 134, 226, 57, 75, 233, 92, 24, 247, 205, 149, 27},
{128, 91, 2, 15, 14, 219, 62, 231, 152, 107, 5, 251, 73, 170, 42, 255, 5, 28, 181, 87, 240, 145, 152, 73, 251, 215, 147, 35, 202, 183, 79, 5},
{95, 9, 5, 213, 129, 103, 46, 167, 187, 181, 27, 117, 34, 67, 118, 184, 92, 144, 42, 29, 251, 180, 252, 115, 222, 160, 23, 59, 219, 107, 129, 127},
{34, 145, 97, 163, 240, 99, 224, 52, 91, 27, 163, 13, 24, 220, 81, 216, 61, 25, 80, 27, 25, 185, 99, 100, 162, 201, 57, 38, 169, 202, 171, 224},
{155, 178, 152, 248, 234, 66, 116, 165, 4, 232, 10, 178, 59, 197, 10, 91, 34, 238, 48, 229, 220, 24, 121, 14, 142, 75, 92, 140, 53, 106, 227, 201},
{74, 184, 197, 204, 104, 42, 159, 160, 168, 203, 23, 245, 157, 180, 35, 108, 4, 247, 100, 221, 252, 211, 44, 40, 161, 48, 91, 177, 109, 16, 224, 231},
{226, 80, 154, 253, 172, 137, 170, 25, 31, 36, 56, 228, 57, 78, 159, 182, 128, 235, 244, 155, 5, 145, 21, 196, 90, 100, 238, 164, 152, 28, 19, 89},
{18, 25, 164, 149, 142, 135, 198, 151, 60, 180, 76, 80, 230, 139, 21, 246, 110, 97, 210, 120, 168, 133, 5, 145, 244, 247, 37, 98, 209, 145, 37, 68},
{248, 116, 245, 46, 159, 233, 159, 253, 83, 98, 58, 194, 2, 110, 157, 178, 162, 165, 254, 26, 224, 145, 178, 152, 114, 92, 76, 237, 158, 173, 14, 194},
{231, 91, 11, 41, 98, 144, 242, 73, 175, 207, 52, 108, 221, 155, 179, 74, 98, 154, 77, 47, 145, 115, 196, 31, 141, 207, 26, 157, 128, 99, 69, 145},
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{42, 86, 219, 213, 217, 111, 135, 80, 70, 49, 102, 98, 210, 232, 158, 138, 9, 31, 131, 127, 79, 143, 146, 160, 50, 78, 110, 170, 123, 133, 183, 166},
{69, 223, 198, 190, 49, 54, 2, 163, 119, 185, 60, 107, 37, 131, 9, 62, 145, 184, 181, 28, 147, 95, 19, 12, 166, 4, 235, 241, 135, 215, 47, 217},
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{167, 152, 96, 47, 165, 177, 203, 192, 142, 135, 92, 7, 61, 156, 32, 137, 220, 99, 13, 180, 186, 52, 77, 237, 74, 147, 251, 15, 108, 122, 59, 28},
{249, 181, 52, 222, 139, 244, 215, 224, 198, 114, 40, 243, 200, 5, 79, 102, 209, 44, 203, 56, 200, 23, 44, 99, 183, 250, 162, 206, 231, 158, 210, 112},
{195, 177, 63, 246, 116, 210, 113, 123, 248, 17, 244, 174, 232, 40, 110, 74, 27, 54, 182, 31, 213, 70, 119, 148, 22, 77, 62, 118, 73, 8, 4, 227},
{174, 223, 121, 235, 197, 225, 150, 67, 127, 80, 219, 62, 36, 51, 65, 225, 209, 187, 13, 144, 188, 232, 86, 67, 248, 61, 152, 24, 198, 30, 51, 118},
{169, 227, 202, 33, 181, 210, 194, 212, 51, 158, 125, 246, 64, 200, 59, 83, 94, 208, 5, 226, 181, 74, 53, 92, 39, 155, 121, 119, 196, 28, 160, 34},
{124, 154, 149, 143, 36, 8, 222, 81, 182, 28, 217, 58, 223, 4, 195, 230, 121, 181, 17, 97, 174, 39, 223, 245, 163, 115, 72, 29, 9, 250, 221, 93},
{94, 129, 132, 118, 175, 123, 131, 87, 207, 57, 77, 136, 126, 101, 29, 176, 73, 215, 180, 68, 41, 126, 101, 135, 219, 224, 57, 29, 241, 38, 251, 65},
{167, 177, 51, 217, 242, 161, 150, 33, 207, 188, 199, 179, 3, 252, 175, 40, 71, 23, 126, 212, 112, 84, 36, 19, 243, 40, 155, 89, 25, 44, 143, 44},
{142, 157, 145, 41, 142, 233, 158, 158, 64, 158, 34, 89, 115, 91, 16, 81, 46, 212, 130, 142, 166, 58, 205, 243, 193, 255, 109, 107, 83, 94, 185, 217},
{103, 181, 101, 82, 232, 131, 3, 160, 69, 31, 133, 57, 115, 220, 168, 30, 207, 218, 190, 44, 102, 244, 113, 203, 36, 224, 195, 195, 212, 238, 52, 182},
{104, 138, 170, 151, 231, 202, 217, 205, 81, 42, 246, 108, 123, 2, 40, 96, 196, 95, 144, 98, 49, 43, 23, 184, 181, 141, 105, 31, 176, 224, 164, 81},
{138, 159, 183, 96, 66, 36, 16, 145, 131, 178, 48, 236, 226, 217, 221, 117, 86, 187, 22, 179, 167, 17, 14, 54, 180, 217, 218, 74, 69, 245, 169, 120},
{91, 206, 220, 176, 108, 243, 52, 201, 226, 28, 70, 196, 123, 18, 54, 236, 230, 47, 81, 109, 168, 137, 192, 19, 127, 143, 11, 161, 226, 230, 31, 19},
{24, 207, 128, 6, 155, 134, 151, 169, 43, 105, 35, 121, 125, 93, 184, 219, 76, 180, 221, 129, 248, 201, 38, 206, 237, 34, 227, 219, 92, 238, 20, 4},
{76, 30, 37, 108, 85, 239, 66, 35, 18, 15, 80, 26, 63, 117, 31, 162, 172, 3, 140, 4, 250, 168, 31, 250, 208, 3, 41, 58, 66, 122, 214, 223},
{13, 114, 121, 124, 89, 22, 163, 146, 144, 123, 191, 224, 85, 156, 229, 6, 254, 190, 77, 25, 36, 208, 94, 171, 60, 104, 191, 188, 222, 202, 52, 249},
{61, 6, 137, 137, 31, 211, 146, 84, 248, 242, 181, 113, 192, 186, 69, 59, 7, 72, 9, 101, 14, 204, 101, 246, 140, 62, 12, 151, 191, 78, 125, 45},
{157, 136, 146, 168, 3, 25, 221, 183, 210, 160, 37, 98, 46, 154, 200, 51, 233, 78, 211, 136, 192, 80, 238, 133, 173, 53, 176, 141, 252, 127, 213, 208},
{236, 37, 13, 175, 18, 251, 87, 187, 224, 204, 128, 5, 91, 147, 115, 122, 151, 89, 90, 163, 65, 38, 17, 122, 231, 248, 212, 192, 124, 138, 107, 170},
{145, 19, 150, 65, 190, 97, 199, 178, 76, 115, 138, 198, 136, 18, 180, 253, 248, 247, 187, 179, 194, 161, 221, 246, 94, 254, 64, 61, 91, 186, 104, 69},
{235, 120, 75, 39, 150, 196, 72, 209, 145, 27, 180, 77, 11, 2, 154, 155, 125, 233, 102, 2, 252, 239, 45, 119, 156, 67, 142, 249, 160, 160, 43, 116},
{143, 165, 24, 101, 222, 187, 133, 80, 114, 98, 164, 11, 16, 227, 43, 133, 145, 213, 75, 107, 148, 34, 89, 73, 28, 136, 140, 131, 231, 105, 2, 209},
{255, 184, 148, 30, 2, 59, 196, 206, 224, 101, 11, 205, 173, 175, 148, 17, 245, 251, 207, 74, 117, 102, 216, 250, 162, 252, 162, 141, 19, 22, 115, 134},
{31, 58, 43, 194, 88, 106, 56, 41, 88, 34, 189, 211, 128, 188, 100, 228, 149, 6, 140, 214, 89, 223, 4, 232, 12, 183, 1, 187, 28, 146, 97, 11},
{173, 159, 50, 163, 30, 151, 172, 58, 118, 11, 139, 20, 227, 150, 135, 213, 107, 120, 100, 176, 68, 197, 190, 248, 82, 15, 225, 61, 55, 196, 240, 250},
{8, 42, 165, 143, 186, 179, 64, 44, 100, 15, 30, 158, 136, 10, 240, 220, 181, 174, 221, 223, 195, 144, 160, 79, 89, 146, 43, 90, 157, 51, 97, 249},
{61, 3, 209, 85, 236, 48, 55, 183, 70, 6, 193, 208, 190, 103, 211, 46, 221, 3, 25, 245, 200, 43, 37, 8, 104, 91, 246, 3, 89, 13, 132, 120},
{91, 121, 64, 214, 89, 93, 32, 238, 196, 217, 242, 53, 71, 78, 136, 226, 189, 164, 233, 98, 238, 230, 250, 56, 65, 83, 137, 141, 171, 250, 231, 62},
{133, 122, 163, 187, 119, 181, 55, 152, 138, 23, 49, 26, 211, 59, 150, 19, 144, 166, 205, 184, 82, 209, 107, 20, 157, 165, 177, 216, 27, 103, 147, 81},
{138, 114, 71, 105, 110, 180, 111, 127, 214, 105, 13, 43, 148, 113, 228, 203, 37, 239, 239, 238, 125, 114, 244, 74, 24, 241, 242, 146, 130, 94, 46, 79},
{85, 108, 150, 69, 191, 198, 106, 86, 228, 219, 78, 42, 73, 10, 92, 242, 16, 3, 18, 27, 228, 216, 36, 149, 19, 179, 28, 6, 226, 38, 163, 82},
{191, 46, 144, 17, 234, 91, 79, 85, 44, 28, 26, 143, 24, 237, 106, 132, 165, 28, 88, 162, 186, 248, 45, 92, 31, 189, 164, 172, 255, 51, 125, 111},
{15, 105, 201, 161, 101, 197, 235, 191, 127, 28, 238, 232, 231, 198, 234, 172, 192, 193, 60, 42, 87, 165, 80, 226, 245, 151, 8, 214, 96, 118, 19, 23},
{84, 157, 205, 255, 217, 251, 101, 194, 230, 208, 26, 232, 23, 201, 46, 29, 123, 221, 11, 53, 196, 102, 220, 130, 2, 70, 240, 1, 178, 74, 188, 195},
{244, 120, 86, 42, 110, 203, 209, 158, 119, 115, 207, 5, 104, 140, 138, 113, 25, 153, 59, 171, 105, 67, 136, 70, 30, 10, 203, 80, 13, 200, 172, 216},
{116, 64, 52, 174, 54, 126, 16, 194, 162, 33, 33, 157, 176, 197, 225, 12, 59, 55, 253, 228, 148, 47, 179, 185, 24, 138, 253, 20, 142, 55, 172, 88}};
d_genpoly_coeff = {88, 216, 195, 23, 111, 82, 79, 81, 62, 120, 249, 250, 11, 134, 209, 116, 69, 170, 208, 45, 249, 223, 4, 19, 120, 81, 182, 217, 44, 65, 93, 34, 118, 227, 112, 28, 65, 48, 244, 165, 242, 216, 121, 50, 171, 32, 217, 166, 133, 134, 4, 120, 54, 42, 13, 24, 95, 228, 173, 247, 80, 42, 89, 68, 81, 181, 112, 51, 118, 108, 243, 223, 18, 38, 230, 1, 28, 109, 131, 14, 234, 151, 21, 108, 7, 176, 236, 147, 175, 183, 66, 35, 178, 243, 36, 115, 255, 51, 36, 6, 120, 163, 59, 9, 214, 102, 109, 253, 152, 137, 1, 144, 124, 241, 143, 71, 91, 227, 28, 174, 13, 157, 78, 20, 192, 64, 130, 45, 39, 46, 229, 171, 193, 252, 43, 165, 88, 180, 179, 183, 88, 99, 219, 52, 210, 33, 160, 146, 22, 255, 111, 159, 7, 237, 145, 194, 68, 89, 231, 201, 224, 127, 5, 27, 112, 71, 165, 204, 236, 122, 119, 49, 212, 216, 151, 149, 53, 249, 57, 136, 85, 14, 19, 128, 135, 177, 179, 189, 164, 98, 220, 99, 241, 230, 188, 170, 148, 97, 121, 31, 253, 134, 43, 199, 81, 137, 82, 54, 47, 216, 172, 169, 123, 246, 153, 169, 32, 86, 128, 83, 5, 252, 251, 1};
init_log_tables(); init_log_tables();
init_alpha_tables(); init_alpha_tables();
} }
@ -297,29 +458,37 @@ ReedSolomon::ReedSolomon(int nroots,
int prim, int prim,
int fcr, int fcr,
int pad, int pad,
int shortening,
const std::vector<uint8_t>& genpoly_coeff, const std::vector<uint8_t>& genpoly_coeff,
const std::vector<std::vector<uint8_t>>& gen_matrix) const std::vector<std::vector<uint8_t>>& gen_matrix)
{ {
if (fcr < 0 || fcr >= (1 << 8)) if (fcr < 0 || fcr >= (1 << d_symsize))
{ {
std::cerr << "Reed Solomon bad configuration: fcr must be 0 < frc <= 255\n"; std::cerr << "Reed Solomon wrong configuration: fcr must be 0 < frc <= 255\n";
return; return;
} }
if (prim <= 0 || prim >= (1 << 8)) if (prim <= 0 || prim >= (1 << d_symsize))
{ {
std::cerr << "Reed Solomon bad configuration: prim must be 0 <= prim <= 255\n"; std::cerr << "Reed Solomon wrong configuration: prim must be 0 <= prim <= 255\n";
return; return;
} }
if (nroots < 0 || nroots >= (1 << 8)) if (nroots < 0 || nroots >= (1 << d_symsize))
{ {
// Can't have more roots than symbol values! // Can't have more roots than symbol values!
std::cerr << "Reed Solomon bad configuration: nroots must be 0 < nroots <= 255\n"; std::cerr << "Reed Solomon wrong configuration: nroots must be 0 < nroots <= 255\n";
return; return;
} }
if (pad < 0 || pad >= ((1 << 8) - 1 - nroots)) if (pad < 0 || pad >= ((1 << d_symsize) - 1 - nroots))
{ {
// Too much padding // Too much padding
std::cerr << "Reed Solomon bad configuration: pad must be 0 < pad <= 255-nroots\n"; std::cerr << "Reed Solomon wrong configuration: pad must be 0 < pad <= 255-nroots\n";
return;
}
if (shortening < 0 || shortening >= (d_symbols_per_block - nroots))
{
// Too much shortening
std::cerr << "Reed Solomon wrong configuration: shortening must be 0 < shortening <= 255-nroots\n";
return; return;
} }
@ -330,6 +499,9 @@ ReedSolomon::ReedSolomon(int nroots,
d_pad = pad; d_pad = pad;
d_a0 = static_cast<uint8_t>(d_symbols_per_block); d_a0 = static_cast<uint8_t>(d_symbols_per_block);
d_fcr = fcr; d_fcr = fcr;
d_shortening = shortening;
d_info_symbols_shortened = d_data_in_block - d_shortening;
d_data_symbols_shortened = d_symbols_per_block - d_shortening;
if (!genpoly_coeff.empty() && (int(genpoly_coeff.size()) == d_nroots + 1)) if (!genpoly_coeff.empty() && (int(genpoly_coeff.size()) == d_nroots + 1))
{ {
@ -337,18 +509,30 @@ ReedSolomon::ReedSolomon(int nroots,
} }
else else
{ {
d_genpoly_coeff = std::vector<uint8_t>(d_nroots + 1, 0); if (!genpoly_coeff.empty())
{
std::cerr << "Reed Solomon wrong configuration: genpoly_coeff should be of size "
<< d_nroots + 1 << ", but it of size " << genpoly_coeff.size() << '\n';
}
d_genpoly_coeff = std::vector<uint8_t>(nroots + 1, 0);
} }
size_t rows_G = gen_matrix.size(); size_t rows_G = gen_matrix.size();
size_t columns_G = gen_matrix[0].size(); if (rows_G != 0)
if (!gen_matrix.empty() && ((rows_G == std::size_t(d_symbols_per_block)) && (columns_G == d_data_in_block)))
{ {
d_genmatrix = gen_matrix; size_t columns_G = gen_matrix[0].size();
} if ((rows_G != d_data_symbols_shortened) || (columns_G != d_info_symbols_shortened))
else {
{ std::cerr << "Reed Solomon wrong configuration: gen_matrix should be of size ("
d_genmatrix = std::vector<std::vector<uint8_t>>(d_symbols_per_block, std::vector<uint8_t>(d_data_in_block, 0)); << d_data_symbols_shortened << "x" << d_info_symbols_shortened << ")"
<< ", but it is (" << rows_G << "x" << columns_G << ")" << '\n';
}
else
{
d_rows_G = rows_G;
d_columns_G = columns_G;
d_genmatrix = gen_matrix;
}
} }
init_log_tables(); init_log_tables();
@ -361,7 +545,7 @@ int ReedSolomon::mod255(int x) const
while (x >= d_symbols_per_block) while (x >= d_symbols_per_block)
{ {
x -= d_symbols_per_block; x -= d_symbols_per_block;
x = (x >> 8) + (x & d_symbols_per_block); x = (x >> d_symsize) + (x & d_symbols_per_block);
} }
return x; return x;
} }
@ -378,7 +562,7 @@ uint8_t ReedSolomon::galois_mul(uint8_t a, uint8_t b) const
uint8_t p = 0; uint8_t p = 0;
uint8_t carry; uint8_t carry;
int i; int i;
for (i = 0; i < 8; i++) for (i = 0; i < d_symsize; i++)
{ {
if (b & 1) if (b & 1)
{ {
@ -430,7 +614,6 @@ void ReedSolomon::init_log_tables()
void ReedSolomon::init_alpha_tables() void ReedSolomon::init_alpha_tables()
{ {
const int symsize = 8;
// Generate Galois field lookup tables // Generate Galois field lookup tables
d_index_of[0] = d_a0; d_index_of[0] = d_a0;
d_alpha_to[d_a0] = 0; d_alpha_to[d_a0] = 0;
@ -440,7 +623,7 @@ void ReedSolomon::init_alpha_tables()
d_index_of[sr] = i; d_index_of[sr] = i;
d_alpha_to[i] = sr; d_alpha_to[i] = sr;
sr <<= 1; sr <<= 1;
if (sr & (1 << symsize)) if (sr & (1 << d_symsize))
{ {
sr ^= d_min_poly; sr ^= d_min_poly;
} }
@ -449,7 +632,7 @@ void ReedSolomon::init_alpha_tables()
if (sr != 1) if (sr != 1)
{ {
std::cerr << "Field generator polynomial is not primitive!\n"; std::cerr << "Reed Solomon wrong configuration: Field generator polynomial is not primitive!\n";
return; return;
} }
@ -471,15 +654,22 @@ void ReedSolomon::init_alpha_tables()
std::vector<uint8_t> ReedSolomon::encode_with_generator_matrix(const std::vector<uint8_t>& data_to_encode) const std::vector<uint8_t> ReedSolomon::encode_with_generator_matrix(const std::vector<uint8_t>& data_to_encode) const
{ {
std::vector<uint8_t> encoded_output(d_symbols_per_block, 0); std::vector<uint8_t> encoded_output(d_data_symbols_shortened, 0);
if (data_to_encode.size() != d_data_in_block) if (d_rows_G == 0)
{ {
std::cerr << "Reed Solomon usage problem: Generator matrix is not defined.\n";
return encoded_output;
}
if (data_to_encode.size() != d_columns_G)
{
std::cerr << "Reed Solomon usage problem: wrong vector input size in encode_with_generator_matrix method.\n";
return encoded_output; return encoded_output;
} }
for (int i = 0; i < d_symbols_per_block; i++) // Matrix-vector product in the Galoise field
for (size_t i = 0; i < d_rows_G; i++)
{ {
for (size_t k = 0; k < d_data_in_block; k++) for (size_t k = 0; k < d_columns_G; k++)
{ {
encoded_output[i] = galois_add(encoded_output[i], galois_mul_table(d_genmatrix[i][k], data_to_encode[k])); encoded_output[i] = galois_add(encoded_output[i], galois_mul_table(d_genmatrix[i][k], data_to_encode[k]));
} }
@ -490,18 +680,27 @@ std::vector<uint8_t> ReedSolomon::encode_with_generator_matrix(const std::vector
std::vector<uint8_t> ReedSolomon::encode_with_generator_poly(const std::vector<uint8_t>& data_to_encode) const std::vector<uint8_t> ReedSolomon::encode_with_generator_poly(const std::vector<uint8_t>& data_to_encode) const
{ {
std::vector<uint8_t> encoded_output(d_symbols_per_block, 0); std::vector<uint8_t> encoded_output(d_data_symbols_shortened, 0);
if (data_to_encode.size() != d_data_in_block) if (data_to_encode.size() != d_info_symbols_shortened)
{ {
std::cerr << "Reed Solomon usage problem: wrong vector input size in encode_with_generator_poly method.\n";
return encoded_output; return encoded_output;
} }
for (size_t k = 0; k < d_data_in_block; k++)
std::copy(data_to_encode.begin(), data_to_encode.end(), encoded_output.begin());
if (d_shortening == 0)
{ {
encoded_output[k] = data_to_encode[k]; encode_rs_8(encoded_output.data(), encoded_output.data() + d_data_in_block);
}
else
{
std::vector<uint8_t> unshortened_encoded_output(d_symbols_per_block, 0);
std::copy(data_to_encode.begin(), data_to_encode.end(), unshortened_encoded_output.begin());
encode_rs_8(unshortened_encoded_output.data(), unshortened_encoded_output.data() + d_data_in_block);
std::copy(unshortened_encoded_output.begin() + d_data_in_block, unshortened_encoded_output.end(), encoded_output.begin() + d_info_symbols_shortened);
} }
int parity_offset = d_symbols_per_block - d_nroots;
encode_rs_8(encoded_output.data(), encoded_output.data() + parity_offset);
return encoded_output; return encoded_output;
} }
@ -512,8 +711,6 @@ void ReedSolomon::encode_rs_8(const uint8_t* data, uint8_t* parity) const
int j; int j;
uint8_t feedback; uint8_t feedback;
memset(parity, 0, d_nroots * sizeof(uint8_t));
for (i = 0; i < d_symbols_per_block - d_nroots - d_pad; i++) for (i = 0; i < d_symbols_per_block - d_nroots - d_pad; i++)
{ {
feedback = d_index_of[data[i] ^ parity[0]]; feedback = d_index_of[data[i] ^ parity[0]];
@ -542,12 +739,32 @@ void ReedSolomon::encode_rs_8(const uint8_t* data, uint8_t* parity) const
int ReedSolomon::decode(std::vector<uint8_t>& data_to_decode, const std::vector<int>& erasure_positions) const int ReedSolomon::decode(std::vector<uint8_t>& data_to_decode, const std::vector<int>& erasure_positions) const
{ {
if (data_to_decode.size() != d_symbols_per_block) int result = -1;
if (data_to_decode.size() != d_data_symbols_shortened)
{ {
std::cerr << "Reed Solomon error: bad input length\n"; std::cerr << "Reed Solomon usage error: wrong vector input size in decode method.\n";
return -1; return result;
}
if (d_shortening == 0)
{
result = decode_rs_8(data_to_decode.data(), erasure_positions.data(), erasure_positions.size(), d_pad);
}
else
{
// Create unshortened code vector
std::vector<uint8_t> unshortened_code_vector(d_symbols_per_block, 0);
std::copy(data_to_decode.begin(), data_to_decode.begin() + d_info_symbols_shortened, unshortened_code_vector.begin());
std::copy(data_to_decode.begin() + d_info_symbols_shortened, data_to_decode.begin() + d_data_symbols_shortened, unshortened_code_vector.begin() + d_data_in_block);
result = decode_rs_8(unshortened_code_vector.data(), erasure_positions.data(), erasure_positions.size(), d_pad);
if (result >= 0)
{
// Store decoded result into the shortened code vector
std::copy(unshortened_code_vector.begin(), unshortened_code_vector.begin() + d_info_symbols_shortened, data_to_decode.begin());
std::copy(unshortened_code_vector.begin() + d_data_in_block, unshortened_code_vector.begin() + d_symbols_per_block, data_to_decode.begin() + d_info_symbols_shortened);
}
} }
int result = decode_rs_8(data_to_decode.data(), erasure_positions.data(), erasure_positions.size(), d_pad);
return result; return result;
} }

View File

@ -1,6 +1,7 @@
/*! /*!
* \file reed_solomon.h * \file reed_solomon.h
* \brief Class implementing a Reed-Solomon encoder/decoder * \brief Class implementing a Reed-Solomon encoder/decoder for blocks of 255
* symbols and symbols of 8 bits.
* \author Carles Fernandez, 2021. cfernandez(at)cttc.es * \author Carles Fernandez, 2021. cfernandez(at)cttc.es
* *
* ----------------------------------------------------------------------------- * -----------------------------------------------------------------------------
@ -21,6 +22,7 @@
#include <array> #include <array>
#include <cstddef> #include <cstddef>
#include <cstdint> #include <cstdint>
#include <string>
#include <vector> #include <vector>
@ -33,19 +35,21 @@
* \brief * \brief
* Class implementing a Reed-Solomon encoder and decoder RS(255,K,d) where * Class implementing a Reed-Solomon encoder and decoder RS(255,K,d) where
* k=255-nroots is the information vector length and d=nroots+1 is the minimum * k=255-nroots is the information vector length and d=nroots+1 is the minimum
* Hamming distance, with symbols of 8 bits. * Hamming distance, with symbols of 8 bits. It allows shortened RS codes.
*/ */
class ReedSolomon class ReedSolomon
{ {
public: public:
/*! /*!
* \brief Default constructor. * \brief Default constructor.
* Constructs a Reed Solomon object with default settings for Galileo E6B * Constructs a Reed Solomon object. The encode_with_generator_poly
* HAS messages encoding and decoding. The encode_with_generator_poly
* and encode_with_generator_matrix methods are available for testing * and encode_with_generator_matrix methods are available for testing
* purposes. * purposes.
*
* gnss_signal: empty or "E6B" sets the Galileo E6B RS parameters.
* "E1B" sets the Galileo E1B (INAV) RS parameters.
*/ */
ReedSolomon(); explicit ReedSolomon(const std::string& gnss_signal = std::string());
/*! /*!
* \brief Custom constructor for RS(255, 255-nroots, nroots+1). Parameters: * \brief Custom constructor for RS(255, 255-nroots, nroots+1). Parameters:
@ -59,51 +63,63 @@ public:
* *
* fcr - first consecutive root of the Reed-Solomon generator polynomial. * fcr - first consecutive root of the Reed-Solomon generator polynomial.
* *
* pad - the number of pad symbols in a block. Defaults to 0. * pad - the number of pad symbols in a block. If not defined, it defaults
* to 0.
* *
* genpoly_coeff - a vector of nroots+1 elements containing the generator * shortening - value of the shortening parameter. Defaults to 0.
* If different to 0, it defines a shortened RS encoder/decoder.
*
* genpoly_coeff - a vector of (nroots+1) elements containing the generator
* polynomial coefficients. Only used for encoding. Defaults to empty. * polynomial coefficients. Only used for encoding. Defaults to empty.
* If defined, the encode_with_generator_poly method can be used. * If defined, the encode_with_generator_poly method can be used.
* *
* gen_matrix - a 255x(255-nroots) matrix containing the elements of the * gen_matrix - a (255-shortening)x(255-nroots-shortening) matrix containing
* generator matrix. Only used for encoding. Defaults to empty. * the elements of the generator matrix. Only used for encoding. Defaults
* If defined, the encode_with_generator_matrix method can be used. * to empty. If defined, the encode_with_generator_matrix method can be
* * used.
*/ */
ReedSolomon(int nroots, ReedSolomon(int nroots,
int minpoly, int minpoly,
int prim, int prim,
int fcr, int fcr,
int pad = 0, int pad = 0,
int shortening = 0,
const std::vector<uint8_t>& genpoly_coeff = std::vector<uint8_t>{}, const std::vector<uint8_t>& genpoly_coeff = std::vector<uint8_t>{},
const std::vector<std::vector<uint8_t>>& gen_matrix = std::vector<std::vector<uint8_t>>{}); const std::vector<std::vector<uint8_t>>& gen_matrix = std::vector<std::vector<uint8_t>>{});
/*! /*!
* \brief Decode an encoded block. * \brief Decode an encoded block.
* *
* The decoded symbols are at the first 255-nroots elements * The decoded symbols are at the first 255-nroots-shortening elements
* of the input vector. * of the data_to_decode vector.
* *
* The second parameter is optional, and contains a vector of erasure * The second parameter is optional, and contains a vector of erasure
* positions to be passed to the decoding algorithm. Defaults to empty. * positions to be passed to the decoding algorithm. Defaults to empty.
* *
* Returns the number of corrected errors or -1 if decoding failed. * Returns the number of corrected errors, or -1 if decoding failed.
*/ */
int decode(std::vector<uint8_t>& data_to_decode, int decode(std::vector<uint8_t>& data_to_decode,
const std::vector<int>& erasure_positions = std::vector<int>{}) const; const std::vector<int>& erasure_positions = std::vector<int>{}) const;
/*! /*!
* \brief Encode data with the generator matrix (for testing purposes) * \brief Encode data with the generator matrix (for testing purposes)
*
* Returns the encoded vector. It is set to all zeros if the generator
* matrix is not defined.
*/ */
std::vector<uint8_t> encode_with_generator_matrix(const std::vector<uint8_t>& data_to_encode) const; std::vector<uint8_t> encode_with_generator_matrix(const std::vector<uint8_t>& data_to_encode) const;
/*! /*!
* \brief Encode data with the generator polynomial (for testing purposes) * \brief Encode data with the generator polynomial (for testing purposes)
*
* Returns the encoded vector. It is set to all zeros if the generator
* polynomial is not defined.
*/ */
std::vector<uint8_t> encode_with_generator_poly(const std::vector<uint8_t>& data_to_encode) const; std::vector<uint8_t> encode_with_generator_poly(const std::vector<uint8_t>& data_to_encode) const;
private: private:
static const int d_symbols_per_block = 255; // the total number of symbols in a RS block. static const int d_symbols_per_block = 255; // the total number of symbols in a RS block.
static const int d_symsize = 8; // symbol size, in bits.
int mod255(int x) const; int mod255(int x) const;
int rs_min(int a, int b) const; int rs_min(int a, int b) const;
@ -126,13 +142,18 @@ private:
std::vector<uint8_t> d_genpoly_coeff; // used for encoding std::vector<uint8_t> d_genpoly_coeff; // used for encoding
std::vector<uint8_t> d_genpoly_index; // used for encoding std::vector<uint8_t> d_genpoly_index; // used for encoding
size_t d_data_in_block{}; // number of information symbols in a block size_t d_data_in_block{}; // number of information symbols in a block
size_t d_rows_G{}; // number of rows of the generator matrix
size_t d_columns_G{}; // number of rows of the generator matrix
size_t d_info_symbols_shortened{}; // number of info symbols in the shortened code
size_t d_data_symbols_shortened{}; // number of data symbols in the shortened code
int d_nroots{}; // number of parity symbols in a block int d_nroots{}; // number of parity symbols in a block
int d_prim{}; // The primitive root of the generator poly int d_prim{}; // The primitive root of the generator poly
int d_pad{}; // the number of pad symbols in a block int d_pad{}; // the number of pad symbols in a block
int d_iprim{}; // prim-th root of 1, index form int d_iprim{}; // prim-th root of 1, index form
int d_fcr{}; // first consecutive root int d_fcr{}; // first consecutive root
int d_shortening{}; // shortening parameter
uint8_t d_min_poly{}; // primitive polynomial uint8_t d_min_poly{}; // primitive polynomial
uint8_t d_a0{}; // auxiliar variable uint8_t d_a0{}; // auxiliar variable

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@ -126,6 +126,7 @@ DECLARE_string(log_dir);
#include "unit-tests/signal-processing-blocks/pvt/rtcm_test.cc" #include "unit-tests/signal-processing-blocks/pvt/rtcm_test.cc"
#include "unit-tests/signal-processing-blocks/pvt/serdes_monitor_pvt_test.cc" #include "unit-tests/signal-processing-blocks/pvt/serdes_monitor_pvt_test.cc"
#include "unit-tests/signal-processing-blocks/telemetry_decoder/galileo_fnav_inav_decoder_test.cc" #include "unit-tests/signal-processing-blocks/telemetry_decoder/galileo_fnav_inav_decoder_test.cc"
#include "unit-tests/system-parameters/galileo_e1b_reed_solomon_test.cc"
#include "unit-tests/system-parameters/galileo_e6b_reed_solomon_test.cc" #include "unit-tests/system-parameters/galileo_e6b_reed_solomon_test.cc"
#include "unit-tests/system-parameters/glonass_gnav_crc_test.cc" #include "unit-tests/system-parameters/glonass_gnav_crc_test.cc"
#include "unit-tests/system-parameters/glonass_gnav_ephemeris_test.cc" #include "unit-tests/system-parameters/glonass_gnav_ephemeris_test.cc"

View File

@ -0,0 +1,310 @@
/*!
* \file galileo_e1b_reed_solomon_test.cc
* \brief Tests for Reed Solomon E1B encoder and decoder
* \author Carles Fernandez-Prades, 2021. cfernandez(at)cttc.es
*
*
* -----------------------------------------------------------------------------
*
* GNSS-SDR is a Global Navigation Satellite System software-defined receiver.
* This file is part of GNSS-SDR.
*
* Copyright (C) 2010-2021 (see AUTHORS file for a list of contributors)
* SPDX-License-Identifier: GPL-3.0-or-later
*
* -----------------------------------------------------------------------------
*/
#include "gnss_sdr_make_unique.h"
#include "reed_solomon.h"
#include <gtest/gtest.h>
TEST(ReedSolomonE1BTest, EncodeWithPoly)
{
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
const std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
auto rs = std::make_unique<ReedSolomon>("E1B");
std::vector<uint8_t> encoded_output = rs->encode_with_generator_poly(information_vector);
EXPECT_TRUE(encoded_output == code_vector);
}
TEST(ReedSolomonE1BTest, EncodeWithCustomPoly)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
const std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
// Instantiate a ReedSolomon object with Galileo E1 (INAV) parameters
const int nroots = 60;
const int minpoly = 29;
const int pad = 0;
const int prim = 1;
const int fcr = 195;
const int shortening = 137;
const std::vector<uint8_t> genpoly_coeff = {1, 208, 42, 48, 76, 19, 41, 108, 167, 235, 166, 244, 186, 18, 124, 251, 79, 193, 14, 154, 6, 118, 19, 3, 122, 9, 187, 42, 131, 46, 66, 65, 62, 94, 101, 45, 214, 141, 131, 230, 102, 20, 63, 202, 36, 23, 188, 88, 169, 62, 73, 88, 152, 197, 231, 58, 101, 154, 190, 91, 193};
auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, shortening, genpoly_coeff);
std::vector<uint8_t> encoded_output = rs->encode_with_generator_poly(information_vector);
EXPECT_TRUE(encoded_output == code_vector);
}
TEST(ReedSolomonE1BTest, EncodeWithMatrix)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
const std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
auto rs = std::make_unique<ReedSolomon>("E1B");
std::vector<uint8_t> encoded_output = rs->encode_with_generator_matrix(information_vector);
EXPECT_TRUE(code_vector == encoded_output);
}
TEST(ReedSolomonE1BTest, EncodeWithCustomMatrix)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
const std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
const int nroots = 60;
const int minpoly = 29;
const int prim = 1;
const int fcr = 1;
const int pad = 0;
const int shortening = 137;
const std::vector<uint8_t> genpoly_coeff;
const std::vector<std::vector<uint8_t>> genmatrix = {
{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{14, 142, 223, 89, 178, 180, 186, 230, 37, 21, 217, 61, 213, 111, 83, 33, 88, 216, 192, 230, 12, 2, 136, 41, 188, 132, 163, 107, 195, 180, 59, 177, 232, 241, 187, 138, 165, 223, 243, 87, 177, 4, 57, 80, 43, 195, 13, 36, 232, 89, 143, 255, 208, 27, 118, 64, 9, 126},
{193, 156, 18, 104, 103, 145, 238, 163, 191, 245, 62, 77, 72, 18, 51, 35, 37, 30, 146, 119, 195, 104, 116, 164, 199, 215, 62, 107, 216, 252, 56, 249, 1, 107, 215, 213, 171, 23, 244, 94, 53, 209, 109, 74, 10, 103, 70, 207, 161, 94, 58, 155, 72, 138, 79, 245, 90, 130},
{79, 59, 250, 36, 207, 70, 246, 222, 60, 177, 165, 41, 204, 234, 152, 167, 149, 103, 155, 164, 187, 3, 17, 106, 13, 56, 133, 163, 235, 220, 120, 143, 129, 186, 95, 61, 175, 136, 71, 10, 115, 67, 117, 1, 45, 98, 49, 241, 153, 52, 208, 110, 173, 47, 113, 244, 61, 144},
{251, 48, 41, 161, 98, 4, 23, 58, 118, 137, 248, 53, 112, 216, 84, 215, 230, 30, 47, 192, 128, 172, 163, 224, 153, 32, 247, 171, 185, 250, 215, 122, 108, 176, 103, 100, 88, 226, 193, 41, 242, 37, 192, 195, 80, 138, 188, 51, 47, 149, 155, 136, 53, 252, 19, 64, 193, 142},
{124, 242, 42, 20, 52, 143, 229, 10, 57, 221, 174, 40, 150, 213, 224, 204, 178, 33, 118, 18, 244, 244, 237, 3, 222, 160, 236, 31, 243, 114, 105, 73, 192, 178, 102, 101, 53, 94, 197, 3, 132, 227, 160, 186, 34, 225, 141, 34, 52, 76, 102, 119, 181, 212, 14, 205, 191, 213},
{18, 64, 11, 249, 128, 124, 136, 8, 208, 164, 247, 53, 52, 35, 117, 134, 253, 34, 226, 165, 253, 103, 53, 43, 10, 195, 107, 215, 253, 44, 79, 166, 118, 115, 128, 1, 187, 156, 116, 38, 55, 38, 104, 27, 189, 70, 245, 66, 54, 172, 51, 147, 164, 178, 22, 189, 253, 110},
{186, 131, 99, 220, 159, 82, 188, 47, 130, 235, 80, 242, 18, 26, 119, 140, 149, 68, 174, 53, 227, 91, 10, 152, 118, 211, 236, 58, 19, 86, 67, 191, 40, 102, 127, 135, 84, 178, 104, 78, 20, 130, 120, 219, 219, 165, 194, 5, 198, 44, 83, 108, 68, 100, 192, 6, 80, 203},
{244, 1, 47, 157, 50, 104, 143, 121, 171, 22, 185, 89, 161, 84, 117, 207, 80, 102, 206, 80, 112, 208, 81, 221, 226, 101, 99, 138, 24, 202, 173, 238, 196, 243, 122, 135, 30, 65, 224, 10, 207, 251, 255, 153, 6, 227, 204, 111, 108, 15, 154, 216, 146, 153, 174, 27, 154, 46},
{166, 77, 140, 145, 232, 144, 89, 158, 148, 141, 37, 165, 157, 162, 192, 200, 9, 9, 104, 112, 87, 52, 200, 120, 142, 45, 51, 235, 242, 210, 120, 215, 74, 253, 40, 204, 70, 217, 114, 147, 235, 77, 87, 158, 168, 173, 127, 182, 243, 109, 81, 99, 102, 163, 156, 151, 214, 50},
{235, 88, 105, 58, 29, 99, 50, 220, 211, 227, 31, 24, 23, 181, 195, 94, 74, 2, 153, 222, 56, 121, 105, 55, 131, 212, 174, 111, 223, 208, 196, 124, 12, 40, 90, 94, 6, 220, 75, 174, 126, 71, 86, 38, 60, 251, 12, 123, 23, 235, 46, 225, 213, 196, 219, 254, 253, 173},
{167, 130, 60, 200, 96, 187, 40, 113, 160, 84, 38, 24, 41, 222, 144, 171, 225, 27, 143, 56, 22, 41, 127, 36, 234, 121, 79, 140, 113, 99, 114, 84, 85, 69, 215, 249, 41, 254, 25, 158, 209, 208, 108, 9, 109, 223, 220, 156, 92, 80, 114, 87, 64, 158, 130, 146, 138, 215},
{108, 47, 174, 236, 151, 205, 169, 124, 151, 201, 168, 91, 80, 176, 57, 217, 13, 166, 171, 95, 96, 91, 149, 209, 18, 164, 249, 213, 250, 137, 237, 234, 214, 216, 233, 152, 7, 248, 2, 105, 38, 58, 205, 209, 27, 40, 167, 68, 228, 43, 79, 118, 135, 82, 40, 15, 50, 86},
{41, 109, 177, 142, 47, 51, 187, 195, 198, 206, 119, 44, 158, 252, 67, 181, 212, 88, 228, 139, 126, 213, 82, 234, 75, 124, 215, 142, 248, 125, 35, 8, 11, 167, 53, 206, 180, 110, 70, 132, 89, 158, 220, 141, 167, 220, 220, 66, 176, 128, 95, 118, 86, 241, 187, 89, 169, 89},
{19, 197, 125, 125, 53, 99, 78, 4, 136, 250, 18, 247, 197, 225, 237, 240, 253, 76, 24, 40, 171, 184, 10, 240, 109, 99, 122, 70, 10, 81, 80, 6, 186, 200, 177, 71, 166, 34, 178, 3, 46, 215, 146, 89, 240, 139, 115, 249, 237, 110, 56, 42, 186, 43, 112, 120, 208, 250},
{76, 132, 133, 106, 171, 24, 138, 136, 53, 120, 173, 40, 116, 36, 165, 27, 205, 167, 81, 15, 168, 148, 227, 184, 214, 205, 123, 4, 108, 148, 229, 196, 244, 145, 144, 100, 250, 196, 117, 187, 145, 44, 231, 188, 176, 64, 13, 231, 127, 178, 180, 241, 61, 83, 21, 91, 102, 129},
{48, 210, 222, 175, 41, 107, 16, 81, 186, 110, 8, 71, 8, 48, 88, 203, 67, 80, 210, 123, 187, 227, 142, 241, 160, 79, 25, 237, 118, 57, 179, 239, 140, 1, 31, 71, 136, 158, 180, 190, 132, 130, 153, 179, 180, 177, 193, 7, 102, 67, 155, 145, 219, 53, 159, 224, 186, 35},
{42, 92, 106, 223, 29, 129, 147, 140, 69, 29, 215, 161, 128, 231, 13, 182, 77, 14, 138, 211, 22, 241, 200, 93, 228, 145, 118, 141, 106, 107, 163, 117, 132, 109, 128, 7, 172, 160, 39, 197, 49, 72, 240, 155, 75, 171, 149, 7, 35, 200, 99, 63, 144, 35, 25, 126, 144, 74},
{208, 233, 31, 47, 4, 122, 82, 145, 161, 246, 27, 245, 202, 177, 213, 121, 8, 131, 31, 207, 85, 30, 100, 142, 53, 205, 170, 102, 118, 16, 234, 141, 112, 36, 21, 182, 63, 246, 166, 158, 44, 135, 62, 122, 72, 187, 234, 187, 70, 199, 128, 31, 122, 67, 112, 185, 130, 81}};
auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, shortening, genpoly_coeff, genmatrix);
std::vector<uint8_t> encoded_output = rs->encode_with_generator_matrix(information_vector);
EXPECT_TRUE(code_vector == encoded_output);
}
TEST(ReedSolomonE1BTest, DecodeNoErrors)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
// Instantiate a ReedSolomon object with Galileo E1 (INAV) parameters
const int nroots = 60;
const int minpoly = 29;
const int prim = 1;
const int fcr = 195;
const int pad = 0;
const int shortening = 137;
auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, shortening);
int result = rs->decode(code_vector);
EXPECT_TRUE(result == 0);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}
TEST(ReedSolomonE1BTest, Decode30Errors)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
// Introduce 30 non-consecutive errors
for (int i = 0; i < 60; i += 2)
{
code_vector[i] = 0;
}
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector);
EXPECT_TRUE(result == 30);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}
TEST(ReedSolomonE1BTest, Decode31Errors)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
// Introduce 31 errors (this should make the decoder to fail)
for (int i = 0; i < 62; i += 2)
{
code_vector[i] = 0;
}
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector);
EXPECT_TRUE(result == -1);
}
TEST(ReedSolomonE1BTest, Decode33ErrorsWithErasure)
{
// ICD 2.0 Annex F
const std::vector<uint8_t> information_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162};
std::vector<uint8_t> code_vector = {147, 109, 66, 23, 234, 140, 74, 234, 49, 89, 241, 253, 169, 161, 89, 93, 75, 142, 83, 102, 98, 218, 14, 197, 155, 151, 43, 181, 9, 163, 142, 111, 8, 118, 21, 47, 135, 139, 108, 215, 51, 147, 185, 52, 17, 151, 97, 102, 238, 71, 83, 114, 47, 80, 67, 199, 215, 162, 238, 77, 12, 72, 235, 21, 148, 213, 230, 54, 183, 82, 49, 104, 12, 228, 150, 157, 220, 112, 236, 187, 63, 31, 175, 47, 210, 164, 17, 104, 98, 46, 252, 165, 194, 57, 26, 213, 14, 133, 176, 148, 34, 9, 167, 43, 204, 198, 25, 164, 233, 55, 153, 31, 237, 84, 212, 76, 137, 242};
// Introduce 33 errors
for (int i = 0; i < 66; i += 2)
{
code_vector[i] = 0;
}
std::vector<int> erasure_positions{2, 4, 16, 18, 22, 54};
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector, erasure_positions);
EXPECT_TRUE(result == 33);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}

View File

@ -1,6 +1,6 @@
/*! /*!
* \file galileo_e6b_reed_solomon_test.cc * \file galileo_e6b_reed_solomon_test.cc
* \brief Tests for Reed Solomon encoder and decoder * \brief Tests for Reed Solomon E6B encoder and decoder
* \author Carles Fernandez-Prades, 2021. cfernandez(at)cttc.es * \author Carles Fernandez-Prades, 2021. cfernandez(at)cttc.es
* *
* *
@ -20,7 +20,7 @@
#include <gtest/gtest.h> #include <gtest/gtest.h>
TEST(ReedSolomonTest, EncodeWithGenMatrix) TEST(ReedSolomonE6BTest, EncodeWithGenMatrix)
{ {
// input vector as defined in Galileo HAS ICD v1.2, Annex D // input vector as defined in Galileo HAS ICD v1.2, Annex D
const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -36,7 +36,7 @@ TEST(ReedSolomonTest, EncodeWithGenMatrix)
} }
TEST(ReedSolomonTest, EncodeWithGenPoly) TEST(ReedSolomonE6BTest, EncodeWithGenPoly)
{ {
// input vector as defined in Galileo HAS ICD v1.2, Annex D // input vector as defined in Galileo HAS ICD v1.2, Annex D
const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -52,7 +52,7 @@ TEST(ReedSolomonTest, EncodeWithGenPoly)
} }
TEST(ReedSolomonTest, EncodeWithCustomPoly) TEST(ReedSolomonE6BTest, EncodeWithCustomPoly)
{ {
// input vector as defined in Galileo HAS ICD v1.2, Annex D // input vector as defined in Galileo HAS ICD v1.2, Annex D
const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -61,14 +61,15 @@ TEST(ReedSolomonTest, EncodeWithCustomPoly)
const std::vector<uint8_t> expected_output = { const std::vector<uint8_t> expected_output = {
71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4}; 71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4};
int nroots = 223; const int nroots = 223;
int minpoly = 29; const int minpoly = 29;
int prim = 1; const int prim = 1;
int fcr = 1; const int fcr = 1;
int pad = 0; const int pad = 0;
const int shortening = 0;
const std::vector<uint8_t> genpoly_coeff = {88, 216, 195, 23, 111, 82, 79, 81, 62, 120, 249, 250, 11, 134, 209, 116, 69, 170, 208, 45, 249, 223, 4, 19, 120, 81, 182, 217, 44, 65, 93, 34, 118, 227, 112, 28, 65, 48, 244, 165, 242, 216, 121, 50, 171, 32, 217, 166, 133, 134, 4, 120, 54, 42, 13, 24, 95, 228, 173, 247, 80, 42, 89, 68, 81, 181, 112, 51, 118, 108, 243, 223, 18, 38, 230, 1, 28, 109, 131, 14, 234, 151, 21, 108, 7, 176, 236, 147, 175, 183, 66, 35, 178, 243, 36, 115, 255, 51, 36, 6, 120, 163, 59, 9, 214, 102, 109, 253, 152, 137, 1, 144, 124, 241, 143, 71, 91, 227, 28, 174, 13, 157, 78, 20, 192, 64, 130, 45, 39, 46, 229, 171, 193, 252, 43, 165, 88, 180, 179, 183, 88, 99, 219, 52, 210, 33, 160, 146, 22, 255, 111, 159, 7, 237, 145, 194, 68, 89, 231, 201, 224, 127, 5, 27, 112, 71, 165, 204, 236, 122, 119, 49, 212, 216, 151, 149, 53, 249, 57, 136, 85, 14, 19, 128, 135, 177, 179, 189, 164, 98, 220, 99, 241, 230, 188, 170, 148, 97, 121, 31, 253, 134, 43, 199, 81, 137, 82, 54, 47, 216, 172, 169, 123, 246, 153, 169, 32, 86, 128, 83, 5, 252, 251, 1}; const std::vector<uint8_t> genpoly_coeff = {88, 216, 195, 23, 111, 82, 79, 81, 62, 120, 249, 250, 11, 134, 209, 116, 69, 170, 208, 45, 249, 223, 4, 19, 120, 81, 182, 217, 44, 65, 93, 34, 118, 227, 112, 28, 65, 48, 244, 165, 242, 216, 121, 50, 171, 32, 217, 166, 133, 134, 4, 120, 54, 42, 13, 24, 95, 228, 173, 247, 80, 42, 89, 68, 81, 181, 112, 51, 118, 108, 243, 223, 18, 38, 230, 1, 28, 109, 131, 14, 234, 151, 21, 108, 7, 176, 236, 147, 175, 183, 66, 35, 178, 243, 36, 115, 255, 51, 36, 6, 120, 163, 59, 9, 214, 102, 109, 253, 152, 137, 1, 144, 124, 241, 143, 71, 91, 227, 28, 174, 13, 157, 78, 20, 192, 64, 130, 45, 39, 46, 229, 171, 193, 252, 43, 165, 88, 180, 179, 183, 88, 99, 219, 52, 210, 33, 160, 146, 22, 255, 111, 159, 7, 237, 145, 194, 68, 89, 231, 201, 224, 127, 5, 27, 112, 71, 165, 204, 236, 122, 119, 49, 212, 216, 151, 149, 53, 249, 57, 136, 85, 14, 19, 128, 135, 177, 179, 189, 164, 98, 220, 99, 241, 230, 188, 170, 148, 97, 121, 31, 253, 134, 43, 199, 81, 137, 82, 54, 47, 216, 172, 169, 123, 246, 153, 169, 32, 86, 128, 83, 5, 252, 251, 1};
auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, genpoly_coeff); auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, shortening, genpoly_coeff);
std::vector<uint8_t> encoded_output = rs->encode_with_generator_poly(input); std::vector<uint8_t> encoded_output = rs->encode_with_generator_poly(input);
@ -76,7 +77,7 @@ TEST(ReedSolomonTest, EncodeWithCustomPoly)
} }
TEST(ReedSolomonTest, EncodeWithCustomMatrix) TEST(ReedSolomonE6BTest, EncodeWithCustomMatrix)
{ {
// input vector as defined in Galileo HAS ICD v1.2, Annex D // input vector as defined in Galileo HAS ICD v1.2, Annex D
const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> input = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -85,12 +86,13 @@ TEST(ReedSolomonTest, EncodeWithCustomMatrix)
const std::vector<uint8_t> expected_output = { const std::vector<uint8_t> expected_output = {
71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4}; 71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4};
int nroots = 223; const int nroots = 223;
int minpoly = 29; const int minpoly = 29;
int prim = 1; const int prim = 1;
int fcr = 1; const int fcr = 1;
int pad = 0; const int pad = 0;
std::vector<uint8_t> genpoly_coeff; const int shortening = 0;
const std::vector<uint8_t> genpoly_coeff;
const std::vector<std::vector<uint8_t>> genmatrix = { const std::vector<std::vector<uint8_t>> genmatrix = {
{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
@ -348,7 +350,7 @@ TEST(ReedSolomonTest, EncodeWithCustomMatrix)
{244, 120, 86, 42, 110, 203, 209, 158, 119, 115, 207, 5, 104, 140, 138, 113, 25, 153, 59, 171, 105, 67, 136, 70, 30, 10, 203, 80, 13, 200, 172, 216}, {244, 120, 86, 42, 110, 203, 209, 158, 119, 115, 207, 5, 104, 140, 138, 113, 25, 153, 59, 171, 105, 67, 136, 70, 30, 10, 203, 80, 13, 200, 172, 216},
{116, 64, 52, 174, 54, 126, 16, 194, 162, 33, 33, 157, 176, 197, 225, 12, 59, 55, 253, 228, 148, 47, 179, 185, 24, 138, 253, 20, 142, 55, 172, 88}}; {116, 64, 52, 174, 54, 126, 16, 194, 162, 33, 33, 157, 176, 197, 225, 12, 59, 55, 253, 228, 148, 47, 179, 185, 24, 138, 253, 20, 142, 55, 172, 88}};
auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, genpoly_coeff, genmatrix); auto rs = std::make_unique<ReedSolomon>(nroots, minpoly, prim, fcr, pad, shortening, genpoly_coeff, genmatrix);
std::vector<uint8_t> encoded_output = rs->encode_with_generator_matrix(input); std::vector<uint8_t> encoded_output = rs->encode_with_generator_matrix(input);
@ -356,7 +358,7 @@ TEST(ReedSolomonTest, EncodeWithCustomMatrix)
} }
TEST(ReedSolomonTest, DecodeNoErrors) TEST(ReedSolomonE6BTest, DecodeNoErrors)
{ {
const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -373,7 +375,7 @@ TEST(ReedSolomonTest, DecodeNoErrors)
} }
TEST(ReedSolomonTest, Decode1Error) TEST(ReedSolomonE6BTest, Decode1Error)
{ {
const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -392,7 +394,7 @@ TEST(ReedSolomonTest, Decode1Error)
} }
TEST(ReedSolomonTest, Decode16Errors) TEST(ReedSolomonE6BTest, Decode16Errors)
{ {
const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -426,7 +428,7 @@ TEST(ReedSolomonTest, Decode16Errors)
} }
TEST(ReedSolomonTest, Decode111Errors) TEST(ReedSolomonE6BTest, Decode111Errors)
{ {
const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -448,7 +450,7 @@ TEST(ReedSolomonTest, Decode111Errors)
} }
TEST(ReedSolomonTest, Decode111ErrorsCustomConstructor) TEST(ReedSolomonE6BTest, Decode111ErrorsCustomConstructor)
{ {
const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
@ -475,7 +477,7 @@ TEST(ReedSolomonTest, Decode111ErrorsCustomConstructor)
} }
TEST(ReedSolomonTest, Decode112Errors) TEST(ReedSolomonE6BTest, Decode112Errors)
{ {
std::vector<uint8_t> encoded_input = { std::vector<uint8_t> encoded_input = {
71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4}; 71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4};
@ -493,9 +495,9 @@ TEST(ReedSolomonTest, Decode112Errors)
} }
TEST(ReedSolomonTest, Decode113ErrorsWithErasure) TEST(ReedSolomonE6BTest, Decode113ErrorsWithErasure)
{ {
std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179}; const std::vector<uint8_t> expected_output = {71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179};
std::vector<uint8_t> encoded_input = { std::vector<uint8_t> encoded_input = {
71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4}; 71, 12, 25, 210, 178, 81, 243, 9, 112, 98, 196, 203, 48, 125, 114, 165, 181, 193, 71, 174, 168, 42, 31, 128, 245, 87, 150, 58, 192, 66, 130, 179, 133, 210, 122, 224, 75, 138, 20, 205, 14, 245, 209, 187, 246, 228, 12, 39, 244, 238, 223, 217, 84, 233, 137, 168, 153, 8, 94, 26, 99, 169, 149, 203, 115, 69, 211, 43, 70, 96, 70, 38, 160, 1, 232, 153, 223, 165, 93, 205, 101, 170, 60, 188, 198, 82, 168, 79, 95, 23, 118, 215, 187, 136, 24, 99, 252, 3, 144, 166, 117, 45, 168, 239, 77, 42, 246, 33, 122, 97, 242, 236, 13, 217, 96, 186, 71, 250, 242, 177, 125, 87, 27, 13, 118, 181, 178, 12, 27, 66, 31, 74, 127, 46, 112, 127, 116, 122, 190, 71, 240, 95, 78, 194, 113, 80, 46, 126, 74, 136, 118, 133, 105, 176, 47, 230, 162, 195, 93, 157, 72, 119, 13, 232, 151, 200, 191, 143, 75, 161, 111, 29, 158, 16, 181, 165, 92, 39, 17, 218, 228, 58, 176, 233, 55, 211, 195, 73, 37, 137, 232, 241, 150, 236, 152, 153, 53, 74, 81, 91, 160, 244, 21, 95, 176, 179, 141, 39, 61, 136, 16, 58, 160, 51, 210, 31, 134, 63, 203, 96, 219, 44, 231, 61, 220, 0, 241, 220, 207, 17, 52, 150, 117, 54, 222, 128, 101, 213, 164, 234, 74, 224, 57, 246, 70, 27, 202, 229, 4, 243, 128, 211, 158, 199, 4};