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moved parity aided polar regression test to own file
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3 changed files with 224 additions and 20 deletions
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@ -1,5 +1,5 @@
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/*
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Regression Test for the Polar Encoder and List Decoders
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Regression Test for the Polar Encoder and List Decoder
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Copyright 2020 Ahmet Inan <inan@aicodix.de>
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*/
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@ -16,7 +16,6 @@ Copyright 2020 Ahmet Inan <inan@aicodix.de>
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#include "polar_list_decoder.hh"
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#include "polar_encoder.hh"
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#include "polar_sequence.hh"
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#include "polar_parity_aided.hh"
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#include "crc.hh"
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#include "sequence.h"
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@ -31,11 +30,8 @@ int main()
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const int N = 1 << M;
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const bool systematic = false;
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const bool crc_aided = true;
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const bool par_aided = true;
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static_assert(!par_aided || !systematic, "systematic and parity aided are mutually exclusive");
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CODE::CRC<uint32_t> crc(0xD419CC15);
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const int C = 32;
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const int S = 32;
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#if 1
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const int L = 32;
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typedef int8_t code_type;
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@ -77,18 +73,11 @@ int main()
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frozen[i] = 0;
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for (int i = 0; i < N - K; ++i)
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frozen[reliability_sequence[i]/32] |= 1 << (reliability_sequence[i]%32);
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int P = K / (S + 1);
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int F = K % (S + 1);
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if (!crc_aided)
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F += S;
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if (par_aided)
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K -= P;
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std::cerr << "Polar(" << N << ", " << K << ")" << std::endl;
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auto message = new code_type[K];
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auto decoded = new simd_type[K];
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std::cerr << "sizeof(PolarListDecoder<simd_type, M>) = " << sizeof(CODE::PolarListDecoder<simd_type, M>) << std::endl;
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auto decode = new CODE::PolarListDecoder<simd_type, M>;
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auto par_dec = new CODE::PolarParityDecoder<simd_type, M>;
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auto orig = new code_type[N];
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auto noisy = new code_type[N];
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@ -137,9 +126,6 @@ int main()
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for (int i = 0, j = 0; i < N; ++i)
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if (!get_bit(frozen, i))
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assert(codeword[i] == message[j++]);
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} else if (par_aided) {
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CODE::PolarParityEncoder<code_type> encode;
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encode(codeword, message, frozen, M, S, F);
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} else {
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CODE::PolarEncoder<code_type> encode;
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encode(codeword, message, frozen, M);
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@ -166,10 +152,7 @@ int main()
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int rank[L];
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auto start = std::chrono::system_clock::now();
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if (par_aided)
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(*par_dec)(rank, decoded, codeword, frozen, M, S, F);
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else
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(*decode)(rank, decoded, codeword, frozen, M);
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(*decode)(rank, decoded, codeword, frozen, M);
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auto end = std::chrono::system_clock::now();
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auto usec = std::chrono::duration_cast<std::chrono::microseconds>(end - start);
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double mbs = (double)K / usec.count();
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221
tests/polar_parity_regression_test.cc
Normal file
221
tests/polar_parity_regression_test.cc
Normal file
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@ -0,0 +1,221 @@
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/*
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Regression Test for the Parity aided Polar Encoder and List Decoder
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Copyright 2020 Ahmet Inan <inan@aicodix.de>
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*/
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#include <limits>
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#include <random>
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#include <chrono>
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#include <cassert>
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#include <iomanip>
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#include <iostream>
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#include <algorithm>
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#include <functional>
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#include "polar_helper.hh"
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#include "polar_sequence.hh"
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#include "polar_parity_aided.hh"
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#include "crc.hh"
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#include "sequence.h"
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bool get_bit(const uint32_t *bits, int idx)
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{
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return (bits[idx/32] >> (idx%32)) & 1;
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}
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int main()
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{
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const int M = 10;
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const int N = 1 << M;
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const bool crc_aided = true;
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CODE::CRC<uint32_t> crc(0xD419CC15);
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const int C = 32;
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const int S = 32;
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#if 1
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const int L = 32;
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typedef int8_t code_type;
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#else
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const int L = 8;
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typedef float code_type;
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#endif
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typedef SIMD<code_type, L> simd_type;
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std::random_device rd;
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typedef std::default_random_engine generator;
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typedef std::uniform_int_distribution<int> distribution;
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auto data = std::bind(distribution(0, 1), generator(rd()));
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auto frozen = new uint32_t[N/32];
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auto codeword = new code_type[N];
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const int *reliability_sequence;
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double erasure_probability = 0.3;
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int K = (1 - erasure_probability) * N;
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double design_SNR = 10 * std::log10(-std::log(erasure_probability));
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std::cerr << "design SNR: " << design_SNR << std::endl;
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if (0) {
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auto construct = new CODE::PolarSeqConst0<M>;
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std::cerr << "sizeof(PolarSeqConst0<M>) = " << sizeof(CODE::PolarSeqConst0<M>) << std::endl;
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double better_SNR = design_SNR + 1.59175;
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std::cerr << "better SNR: " << better_SNR << std::endl;
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double probability = std::exp(-pow(10.0, better_SNR / 10));
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std::cerr << "prob: " << probability << std::endl;
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auto rel_seq = new int[N];
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(*construct)(rel_seq, M, probability);
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delete construct;
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reliability_sequence = rel_seq;
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} else {
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reliability_sequence = sequence;
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}
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for (int i = 0; i < N / 32; ++i)
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frozen[i] = 0;
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for (int i = 0; i < N - K; ++i)
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frozen[reliability_sequence[i]/32] |= 1 << (reliability_sequence[i]%32);
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int P = K / (S + 1);
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int F = K % (S + 1);
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if (!crc_aided)
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F += S;
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K -= P;
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std::cerr << "Polar(" << N << ", " << K << ")" << std::endl;
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auto message = new code_type[K];
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auto decoded = new simd_type[K];
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std::cerr << "sizeof(PolarParityDecoder<simd_type, M>) = " << sizeof(CODE::PolarParityDecoder<simd_type, M>) << std::endl;
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auto decode = new CODE::PolarParityDecoder<simd_type, M>;
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auto orig = new code_type[N];
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auto noisy = new code_type[N];
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auto symb = new double[N];
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double low_SNR = std::floor(design_SNR-3);
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double high_SNR = std::ceil(design_SNR+5);
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double min_SNR = high_SNR, max_mbs = 0;
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int count = 0;
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std::cerr << "SNR BER Mbit/s Eb/N0" << std::endl;
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for (double SNR = low_SNR; count <= 3 && SNR <= high_SNR; SNR += 0.1, ++count) {
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//double mean_signal = 0;
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double sigma_signal = 1;
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double mean_noise = 0;
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double sigma_noise = std::sqrt(sigma_signal * sigma_signal / (2 * std::pow(10, SNR / 10)));
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typedef std::normal_distribution<double> normal;
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auto awgn = std::bind(normal(mean_noise, sigma_noise), generator(rd()));
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int64_t awgn_errors = 0;
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int64_t quantization_erasures = 0;
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int64_t uncorrected_errors = 0;
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int64_t ambiguity_erasures = 0;
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int64_t frame_errors = 0;
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double avg_mbs = 0;
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int64_t loops = 0;
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while (uncorrected_errors < 10000 && ++loops < 1000) {
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if (crc_aided) {
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crc.reset();
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for (int i = 0; i < K-C; ++i) {
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bool bit = data();
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crc(bit);
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message[i] = 1 - 2 * bit;
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}
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for (int i = 0; i < C; ++i) {
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bool bit = (crc() >> i) & 1;
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message[K-C+i] = 1 - 2 * bit;
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}
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} else {
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for (int i = 0; i < K; ++i)
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message[i] = 1 - 2 * data();
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}
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CODE::PolarParityEncoder<code_type> encode;
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encode(codeword, message, frozen, M, S, F);
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for (int i = 0; i < N; ++i)
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orig[i] = codeword[i];
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for (int i = 0; i < N; ++i)
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symb[i] = codeword[i];
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for (int i = 0; i < N; ++i)
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symb[i] += awgn();
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// $LLR=log(\frac{p(x=+1|y)}{p(x=-1|y)})$
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// $p(x|\mu,\sigma)=\frac{1}{\sqrt{2\pi}\sigma}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}$
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double DIST = 2; // BPSK
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double fact = DIST / (sigma_noise * sigma_noise);
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for (int i = 0; i < N; ++i)
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codeword[i] = CODE::PolarHelper<code_type>::quant(fact * symb[i]);
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for (int i = 0; i < N; ++i)
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noisy[i] = codeword[i];
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int rank[L];
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auto start = std::chrono::system_clock::now();
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(*decode)(rank, decoded, codeword, frozen, M, S, F);
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auto end = std::chrono::system_clock::now();
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auto usec = std::chrono::duration_cast<std::chrono::microseconds>(end - start);
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double mbs = (double)K / usec.count();
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avg_mbs += mbs;
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int best = 0;
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if (crc_aided) {
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bool error = true;
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for (int k = 0; k < L; ++k) {
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crc.reset();
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for (int i = 0; i < K; ++i)
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crc(decoded[i].v[k] < 0);
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if (crc() == 0) {
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best = k;
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error = false;
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break;
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}
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}
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frame_errors += error;
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} else {
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bool error = rank[0] == rank[1];
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for (int i = 0; i < K; ++i)
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error |= decoded[i].v[0] * message[i] <= 0;
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frame_errors += error;
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}
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for (int i = 0; i < N; ++i)
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awgn_errors += noisy[i] * (orig[i] < 0);
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for (int i = 0; i < N; ++i)
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quantization_erasures += !noisy[i];
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for (int i = 0; i < K; ++i)
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uncorrected_errors += decoded[i].v[best] * message[i] <= 0;
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for (int i = 0; i < K; ++i)
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ambiguity_erasures += !decoded[i].v[best];
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}
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avg_mbs /= loops;
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max_mbs = std::max(max_mbs, avg_mbs);
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double frame_error_rate = (double)frame_errors / (double)loops;
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double bit_error_rate = (double)uncorrected_errors / (double)(K * loops);
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if (!uncorrected_errors)
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min_SNR = std::min(min_SNR, SNR);
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else
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count = 0;
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int MOD_BITS = 1; // BPSK
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double code_rate = (double)K / (double)N;
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double spectral_efficiency = code_rate * MOD_BITS;
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double EbN0 = 10 * std::log10(sigma_signal * sigma_signal / (spectral_efficiency * 2 * sigma_noise * sigma_noise));
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if (0) {
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std::cerr << SNR << " Es/N0 => AWGN with standard deviation of " << sigma_noise << " and mean " << mean_noise << std::endl;
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std::cerr << EbN0 << " Eb/N0, using spectral efficiency of " << spectral_efficiency << " from " << code_rate << " code rate and " << MOD_BITS << " bits per symbol." << std::endl;
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std::cerr << awgn_errors << " errors caused by AWGN." << std::endl;
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std::cerr << quantization_erasures << " erasures caused by quantization." << std::endl;
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std::cerr << uncorrected_errors << " errors uncorrected." << std::endl;
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std::cerr << ambiguity_erasures << " ambiguity erasures." << std::endl;
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std::cerr << frame_error_rate << " frame error rate." << std::endl;
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std::cerr << bit_error_rate << " bit error rate." << std::endl;
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std::cerr << avg_mbs << " megabit per second." << std::endl;
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} else {
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std::cout << SNR << " " << frame_error_rate << " " << bit_error_rate << " " << avg_mbs << " " << EbN0 << std::endl;
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}
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}
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std::cerr << "QEF at: " << min_SNR << " SNR, speed: " << max_mbs << " Mb/s." << std::endl;
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double QEF_SNR = design_SNR + 0.5;
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assert(min_SNR < QEF_SNR);
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std::cerr << "Polar parity regression test passed!" << std::endl;
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return 0;
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}
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@ -1,5 +1,5 @@
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/*
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Regression Test for the Polar Encoder and Decoders
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Regression Test for the Polar Encoder and Decoder
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Copyright 2020 Ahmet Inan <inan@aicodix.de>
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*/
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