gnss-sdr/src/tests/unit-tests/system-parameters/galileo_e1b_reed_solomon_te...

627 lines
46 KiB
C++

/*!
* \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 = 195;
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},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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},
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{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, DecodeErasureCorrectionCase1)
{
// 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};
std::vector<int> erasure_positions;
erasure_positions.reserve(60); // nroots is the maximum number of erasure positions
// We have received Word 2, Word 4, Word 18, Word 20
// So we have: c_1, c_3, g_1, g_3
// Delete c_0
// We always know c_{0,0}, so we start at 1
for (int i = 1; i < 16; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete c_2
for (int i = 30; i < 44; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete g_0
for (int i = 58; i < 73; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137); // erasure position refers to the unshortened code, so we add 137
}
// Delete g_2
for (int i = 88; i < 103; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137);
}
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector, erasure_positions);
EXPECT_TRUE(result == 59);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}
TEST(ReedSolomonE1BTest, DecodeErasureCorrectionCase2)
{
// 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};
std::vector<int> erasure_positions;
erasure_positions.reserve(60); // nroots is the maximum number of erasure positions
// We have received Word 2, Word 4, Word 17, Word 19
// So we have: c_1, c_3, g_0, g_2
// Delete c_0
// We always know c_{0,0}, so we start at 1
for (int i = 1; i < 16; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete c_2
for (int i = 30; i < 44; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete g_1
for (int i = 73; i < 88; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137); // erasure position refers to the unshortened code, so we add 137
}
// Delete g_3
for (int i = 103; i < 118; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137);
}
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector, erasure_positions);
EXPECT_TRUE(result == 59);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}
TEST(ReedSolomonE1BTest, DecodeErasureCorrectionCase3)
{
// 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};
std::vector<int> erasure_positions;
erasure_positions.reserve(60); // nroots is the maximum number of erasure positions
// We have received Word 1, Word 3, Word 17, Word 19
// So we have: c_0, c_2, g_0, g_2
// Delete c_1
for (int i = 16; i < 30; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete c_3
for (int i = 44; i < 58; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete g_1
for (int i = 73; i < 88; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137); // erasure position refers to the unshortened code, so we add 137
}
// Delete g_3
for (int i = 103; i < 118; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137);
}
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector, erasure_positions);
EXPECT_TRUE(result == 58);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}
TEST(ReedSolomonE1BTest, DecodeErasureCorrectionCase4)
{
// 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};
std::vector<int> erasure_positions;
erasure_positions.reserve(60); // nroots is the maximum number of erasure positions
// We have received Word 1, Word 3, Word 18, Word 20
// So we have: c_0, c_2, g_1, g_3
// Delete c_1
for (int i = 16; i < 30; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete c_3
for (int i = 44; i < 58; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i);
}
// Delete g_0
for (int i = 58; i < 73; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137); // erasure position refers to the unshortened code, so we add 137
}
// Delete g_2
for (int i = 88; i < 103; i++)
{
code_vector[i] = 0;
erasure_positions.push_back(i + 137);
}
auto rs = std::make_unique<ReedSolomon>("E1B");
int result = rs->decode(code_vector, erasure_positions);
EXPECT_TRUE(result == 58);
std::vector<uint8_t> decoded(code_vector.begin(), code_vector.begin() + 58);
EXPECT_TRUE(information_vector == decoded);
}