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print histogram of distances and verify T
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1 changed files with 35 additions and 15 deletions
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@ -8,31 +8,51 @@ Copyright 2020 Ahmet Inan <inan@aicodix.de>
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#include <iostream>
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#include "short_bch_code_encoder.hh"
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template<typename TYPE>
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int popcnt(TYPE x)
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{
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int cnt = 0;
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while (x) {
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++cnt;
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x &= x-1;
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}
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return cnt;
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}
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template <int N, int K, int T, int POLY>
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void bch_test(int message, int target)
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{
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CODE::ShortBCHCodeEncoder<N, K> encode(POLY);
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int hist[N+1] = { 0 };
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for (int j = 0; j < (1 << K); ++j)
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for (int i = j + 1; i < (1 << K); ++i)
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++hist[popcnt(encode(i)^encode(j))];
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std::cout << "BCH(" << N << ", " << K << ") T=" << T << " hist:";
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for (int i = 0; i < N + 1; ++i)
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if (hist[i])
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std::cout << " " << i << ":" << hist[i];
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std::cout << std::endl;
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int d = 0;
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while (!hist[d])
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++d;
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assert((d-1)/2 == T);
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int codeword = encode(message);
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assert(target == codeword);
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}
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int main()
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{
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if (1) {
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// Perfect binary Golay code using x^11+x^9+x^7+x^6+x^5+x+1
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CODE::ShortBCHCodeEncoder<23, 12> encode(0b101011100011);
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int message = 0b101011011011;
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int target = 0b10101101101111011111001;
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int codeword = encode(message);
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assert(target == codeword);
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bch_test<23, 12, 3, 0b101011100011>(0b101011011011, 0b10101101101111011111001);
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}
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if (1) {
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// Perfect binary Golay code using x^11+x^10+x^6+x^5+x^4+x^2+1
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CODE::ShortBCHCodeEncoder<23, 12> encode(0b110001110101);
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int message = 0b101011011011;
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int target = 0b10101101101100100010101;
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int codeword = encode(message);
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assert(target == codeword);
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bch_test<23, 12, 3, 0b110001110101>(0b101011011011, 0b10101101101100100010101);
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}
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if (1) {
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// NASA INTRO BCH(15, 5) T=3
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CODE::ShortBCHCodeEncoder<15, 5> encode(0b10100110111);
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int message = 0b11001;
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int target = 0b110010001111010;
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int codeword = encode(message);
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assert(target == codeword);
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bch_test<15, 5, 3, 0b10100110111>(0b11001, 0b110010001111010);
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}
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std::cerr << "Short BCH code encoder test passed!" << std::endl;
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return 0;
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