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			59 lines
		
	
	
	
		
			2 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			59 lines
		
	
	
	
		
			2 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
/*
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    This file is part of TON Blockchain Library.
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    TON Blockchain Library is free software: you can redistribute it and/or modify
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    it under the terms of the GNU Lesser General Public License as published by
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    the Free Software Foundation, either version 2 of the License, or
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    (at your option) any later version.
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    TON Blockchain Library is distributed in the hope that it will be useful,
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    but WITHOUT ANY WARRANTY; without even the implied warranty of
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    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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    GNU Lesser General Public License for more details.
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    You should have received a copy of the GNU Lesser General Public License
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    along with TON Blockchain Library.  If not, see <http://www.gnu.org/licenses/>.
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    Copyright 2017-2020 Telegram Systems LLP
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*/
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#include "td/fec/algebra/GaussianElimination.h"
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namespace td {
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Result<MatrixGF256> GaussianElimination::run(MatrixGF256 A, MatrixGF256 D) {
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  const size_t cols = A.cols();
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  const size_t rows = A.rows();
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  CHECK(cols <= rows);
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  std::vector<uint32> row_perm(rows);
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  for (uint32 i = 0; i < rows; i++) {
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    row_perm[i] = i;
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  }
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  for (size_t row = 0; row < cols; row++) {
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    size_t non_zero_row = row;
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    for (; non_zero_row < rows && A.get(row_perm[non_zero_row], row).is_zero(); non_zero_row++) {
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    }
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    if (non_zero_row == rows) {
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      return Status::Error("Non solvable");
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    }
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    if (non_zero_row != row) {
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      std::swap(row_perm[non_zero_row], row_perm[row]);
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    }
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    auto mul = A.get(row_perm[row], row).inverse();
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    A.row_multiply(row_perm[row], mul);
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    D.row_multiply(row_perm[row], mul);
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    CHECK(A.get(row_perm[row], row).value() == 1);
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    for (size_t zero_row = 0; zero_row < rows; zero_row++) {
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      if (zero_row == row) {
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        continue;
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      }
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      auto x = A.get(row_perm[zero_row], row);
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      if (!x.is_zero()) {
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        A.row_add_mul(row_perm[zero_row], row_perm[row], x);
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        D.row_add_mul(row_perm[zero_row], row_perm[row], x);
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      }
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    }
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  }
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  return D.apply_row_permutation(row_perm);
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}
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}  // namespace td
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