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https://github.com/gnss-sdr/gnss-sdr
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- Added Hamming code correction method
- Added google tests for this method
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@ -239,6 +239,9 @@ const std::vector<int32_t> GLONASS_GNAV_CRC_N_INDEX{35, 36, 37, 38, 39, 40, 41,
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const std::vector<int32_t> GLONASS_GNAV_CRC_P_INDEX{66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85};
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const std::vector<int32_t> GLONASS_GNAV_CRC_Q_INDEX{9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85};
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const std::vector<std::vector<int32_t>> GLONASS_GNAV_HAMMING_INDEX{GLONASS_GNAV_CRC_I_INDEX, GLONASS_GNAV_CRC_J_INDEX, GLONASS_GNAV_CRC_K_INDEX, GLONASS_GNAV_CRC_L_INDEX,
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GLONASS_GNAV_CRC_M_INDEX, GLONASS_GNAV_CRC_N_INDEX, GLONASS_GNAV_CRC_P_INDEX, GLONASS_GNAV_CRC_Q_INDEX};
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// GLONASS GNAV NAVIGATION MESSAGE STRUCTURE
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// NAVIGATION MESSAGE FIELDS POSITIONS
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@ -133,6 +133,95 @@ bool Glonass_Gnav_Navigation_Message::CRC_test(const std::bitset<GLONASS_GNAV_ST
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}
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bool Glonass_Gnav_Navigation_Message::hamming_correct(std::bitset<GLONASS_GNAV_STRING_BITS>& bits_io) const
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{
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std::vector<int> bits(GLONASS_GNAV_STRING_BITS);
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// Populate data and Hamming code vectors
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for (size_t i = 0; i < bits.size(); i++)
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{
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bits[i] = static_cast<int>(bits_io[i]);
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}
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std::vector<int> C(GLONASS_GNAV_HAMMING_CODE_BITS, 0);
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int sum_bits;
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for (size_t m = 0; m < GLONASS_GNAV_HAMMING_CODE_BITS; ++m)
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{
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sum_bits = 0;
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for (int i : GLONASS_GNAV_HAMMING_INDEX[m])
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sum_bits += bits[i - 1];
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C[m] = bits[m] ^ (sum_bits % 2);
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}
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int sum_hamming = 0;
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for (int i = 0; i < GLONASS_GNAV_HAMMING_CODE_BITS; ++i)
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{
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sum_hamming += bits[i];
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}
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C[GLONASS_GNAV_HAMMING_CODE_BITS - 1] = (sum_hamming % 2) ^ (sum_bits % 2);
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int shortSumC = 0;
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for (size_t m = 0; m < GLONASS_GNAV_HAMMING_CODE_BITS - 1; ++m)
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{
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shortSumC += C[m];
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}
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if (C[GLONASS_GNAV_HAMMING_CODE_BITS - 1] == 0)
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{
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if (shortSumC == 0)
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{
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// (A1) All checksums (C1, ..., C7 and C_Sigma) are equal to zero (all information
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// bits and check bits are valid)
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return true;
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}
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}
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else
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{
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int highestNonZeroIdx = -1;
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for (int i = 0; i < GLONASS_GNAV_HAMMING_CODE_BITS - 1; ++i) // C_Sigma should not be taken into account
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{
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if (C[i] != 0)
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highestNonZeroIdx = i + 1; // 1-based indices
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}
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if (shortSumC == 1)
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{
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// (A2) Only one of the checksums (C1, ..., C7) is equal to 1 and C_Sigma = 1 (all
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// information bits are valid and there is an error in one (!) of the check bits.
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bits_io[highestNonZeroIdx - 1] = 1 - bits_io[highestNonZeroIdx - 1];
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return true;
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}
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if (highestNonZeroIdx == -1)
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{
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// Error only in parity bit (C_Sigma = 1)
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bits_io[GLONASS_GNAV_HAMMING_CODE_BITS - 1] = 1 - bits_io[GLONASS_GNAV_HAMMING_CODE_BITS - 1];
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return true;
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}
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int idx = C[GLONASS_GNAV_HAMMING_CODE_BITS - 2];
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for (int i = GLONASS_GNAV_HAMMING_CODE_BITS - 3; i >= 0; --i)
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{
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idx <<= 1;
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idx += C[i];
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}
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int position = idx + GLONASS_GNAV_HAMMING_CODE_BITS - highestNonZeroIdx - 1;
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if (position < GLONASS_GNAV_STRING_BITS)
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{
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// (B) Error only in a single information bit
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bits_io[position] = 1 - bits_io[position];
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return true;
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}
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}
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// Irrecoverable error in information bits
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return false;
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}
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bool Glonass_Gnav_Navigation_Message::read_navigation_bool(const std::bitset<GLONASS_GNAV_STRING_BITS>& bits, const std::vector<std::pair<int32_t, int32_t>>& parameter) const
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{
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bool value;
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@ -238,10 +327,10 @@ int32_t Glonass_Gnav_Navigation_Message::string_decoder(const std::string& frame
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uint64_t P_1_tmp = 0;
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// Unpack bytes to bits
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const std::bitset<GLONASS_GNAV_STRING_BITS> string_bits(frame_string);
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std::bitset<GLONASS_GNAV_STRING_BITS> string_bits(frame_string);
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// Perform data verification and exit code if error in bit sequence
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flag_CRC_test = CRC_test(string_bits);
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// Perform data correction and exit code if error in bit sequence is irrecoverable
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flag_CRC_test = hamming_correct(string_bits);
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if (flag_CRC_test == false)
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{
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return 0;
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@ -57,6 +57,12 @@ public:
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*/
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bool CRC_test(const std::bitset<GLONASS_GNAV_STRING_BITS>& bits) const;
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/*!
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* \brief Check and (if needed and possible) correct information bits for GLONASS GNAV strings
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* \param[in,out] bits_io Bits of the string message (information and Hamming codes)
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*/
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bool hamming_correct(std::bitset<GLONASS_GNAV_STRING_BITS>& bits_io) const;
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/*!
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* \brief Computes the frame number being decoded given the satellite slot number
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* \param satellite_slot_number [in] Satellite slot number identifier
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@ -20,6 +20,9 @@
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#include "glonass_gnav_navigation_message.h"
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#include "gnss_signal_replica.h"
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// A valid GLONASS GNAV message string
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std::string valid_msg("0001110000000001001101001110100011111011010011001101001101110110010011110011100100011");
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/*!
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* \brief Testing CRC computation for GLONASS GNAV data bits of a string
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* \test The provided string was generated with a version of MATLAB GNSS-SDR that
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@ -60,6 +63,70 @@ TEST(GlonassGnavNavigationMessageTest, CRCTestFailure)
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ASSERT_FALSE(test_result);
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}
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/*!
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* \brief Testing Hamming code correction method for GLONASS GNAV data.
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* \test A single-bit error is introduced into each bit of a valid string
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* and the result of error correction is compared to the original string
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*/
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TEST(GlonassGnavNavigationMessageTest, hamming_correct_1bit)
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{
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bool test_result;
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std::bitset<GLONASS_GNAV_STRING_BITS> bits(valid_msg);
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const std::bitset<GLONASS_GNAV_STRING_BITS> bits_original = bits;
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auto gnav_nav_message = Glonass_Gnav_Navigation_Message();
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test_result = gnav_nav_message.hamming_correct(bits);
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// check correct return value for a valid string
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ASSERT_TRUE(test_result);
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// check that a valid string is not being changed
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ASSERT_EQ(bits, bits_original);
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for (int i = 0; i < GLONASS_GNAV_STRING_BITS; ++i)
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{
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bits[i] = 1 - bits[i];
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test_result = gnav_nav_message.hamming_correct(bits);
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// check correct return value for a string with a single bit error
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ASSERT_TRUE(test_result);
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// check that a string is restored correctly
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ASSERT_EQ(bits, bits_original);
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}
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}
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/*!
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* \brief Testing Hamming code correction method for GLONASS GNAV data.
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* \test A two-bit error is introduced into each possible pair of bits of
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* a valid string in order to check that the error correction method
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* returns correction result as 'false'.
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*/
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TEST(GlonassGnavNavigationMessageTest, hamming_correct_2bits)
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{
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std::bitset<GLONASS_GNAV_STRING_BITS> bits(valid_msg);
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auto gnav_nav_message = Glonass_Gnav_Navigation_Message();
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for (int i = 0; i < GLONASS_GNAV_STRING_BITS - 1; ++i)
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{
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bits[i] = 1 - bits[i];
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for (int j = i + 1; j < GLONASS_GNAV_STRING_BITS; ++j)
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{
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bits[j] = 1 - bits[j];
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std::bitset<GLONASS_GNAV_STRING_BITS> bits_with_errors = bits;
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bool test_result = gnav_nav_message.hamming_correct(bits);
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// check correct return value for a string with 2 wrong bits
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ASSERT_FALSE(test_result);
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// check that a string with 2 wrong bits is not being changed
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ASSERT_EQ(bits, bits_with_errors);
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bits[j] = 1 - bits[j];
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}
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bits[i] = 1 - bits[i];
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}
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}
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/*!
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* \brief Testing string decoding for GLONASS GNAV messages
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