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|---|---|---|---|
| 1 | #include "gaivoronskiy_m_gauss_jordan/mpi/include/ops_mpi.hpp" | ||
| 2 | |||
| 3 | #include <mpi.h> | ||
| 4 | |||
| 5 | #include <algorithm> | ||
| 6 | #include <cmath> | ||
| 7 | #include <cstddef> | ||
| 8 | #include <vector> | ||
| 9 | |||
| 10 | #include "gaivoronskiy_m_gauss_jordan/common/include/common.hpp" | ||
| 11 | |||
| 12 | namespace gaivoronskiy_m_gauss_jordan { | ||
| 13 | |||
| 14 | namespace { | ||
| 15 | |||
| 16 | bool IsZero(double value) { | ||
| 17 |
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516 | return std::fabs(value) < 1e-10; |
| 18 | } | ||
| 19 | |||
| 20 | int FindPivotRow(const std::vector<std::vector<double>> &matrix, int col, int start_row, int n) { | ||
| 21 | int global_pivot_row = -1; | ||
| 22 | double max_val = 0.0; | ||
| 23 | |||
| 24 |
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260 | for (int i = start_row; i < n; i++) { |
| 25 |
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172 | double abs_val = std::fabs(matrix[i][col]); |
| 26 |
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172 | if (abs_val > max_val) { |
| 27 | max_val = abs_val; | ||
| 28 | global_pivot_row = i; | ||
| 29 | } | ||
| 30 | } | ||
| 31 | |||
| 32 |
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88 | return (max_val > 1e-10) ? global_pivot_row : -1; |
| 33 | } | ||
| 34 | |||
| 35 | 88 | void SwapMatrixRows(std::vector<std::vector<double>> &matrix, int row1, int row2) { | |
| 36 |
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88 | if (row1 != row2) { |
| 37 | 20 | std::swap(matrix[row1], matrix[row2]); | |
| 38 | } | ||
| 39 | 88 | } | |
| 40 | |||
| 41 | void NormalizeMatrixRow(std::vector<std::vector<double>> &matrix, int row, int pivot_col, int m) { | ||
| 42 |
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88 | double pivot = matrix[row][pivot_col]; |
| 43 |
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88 | if (!IsZero(pivot)) { |
| 44 |
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432 | for (int j = 0; j < m; j++) { |
| 45 | 344 | matrix[row][j] /= pivot; | |
| 46 | } | ||
| 47 | } | ||
| 48 | } | ||
| 49 | |||
| 50 | 88 | void EliminateColumn(std::vector<std::vector<double>> &matrix, int pivot_row, int pivot_col, int n, int m) { | |
| 51 |
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344 | for (int i = 0; i < n; i++) { |
| 52 |
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256 | if (i == pivot_row) { |
| 53 | 88 | continue; | |
| 54 | } | ||
| 55 | |||
| 56 |
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168 | double coeff = matrix[i][pivot_col]; |
| 57 |
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168 | if (!IsZero(coeff)) { |
| 58 |
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240 | for (int j = 0; j < m; j++) { |
| 59 | 186 | matrix[i][j] -= coeff * matrix[pivot_row][j]; | |
| 60 | } | ||
| 61 | } | ||
| 62 | } | ||
| 63 | 88 | } | |
| 64 | |||
| 65 | void SyncMatrixRow(std::vector<std::vector<double>> &matrix, int row, int m) { | ||
| 66 | 88 | MPI_Bcast(matrix[row].data(), m, MPI_DOUBLE, 0, MPI_COMM_WORLD); | |
| 67 | } | ||
| 68 | |||
| 69 | 88 | void SyncEntireMatrix(std::vector<std::vector<double>> &matrix, int n, int m) { | |
| 70 |
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344 | for (int i = 0; i < n; i++) { |
| 71 | 256 | MPI_Bcast(matrix[i].data(), m, MPI_DOUBLE, 0, MPI_COMM_WORLD); | |
| 72 | } | ||
| 73 | 88 | } | |
| 74 | |||
| 75 | 34 | void PerformGaussJordanElimination(std::vector<std::vector<double>> &matrix, int n, int m) { | |
| 76 | int row = 0; | ||
| 77 | int col = 0; | ||
| 78 | |||
| 79 |
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122 | while (row < n && col < m - 1) { |
| 80 | int pivot_row = FindPivotRow(matrix, col, row, n); | ||
| 81 | |||
| 82 |
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88 | if (pivot_row == -1) { |
| 83 | ✗ | col++; | |
| 84 | ✗ | continue; | |
| 85 | } | ||
| 86 | |||
| 87 | 88 | SwapMatrixRows(matrix, row, pivot_row); | |
| 88 | NormalizeMatrixRow(matrix, row, col, m); | ||
| 89 | SyncMatrixRow(matrix, row, m); | ||
| 90 | 88 | EliminateColumn(matrix, row, col, n, m); | |
| 91 | 88 | SyncEntireMatrix(matrix, n, m); | |
| 92 | |||
| 93 | 88 | row++; | |
| 94 | 88 | col++; | |
| 95 | 88 | MPI_Barrier(MPI_COMM_WORLD); | |
| 96 | } | ||
| 97 | 34 | } | |
| 98 | |||
| 99 | 34 | struct MatrixAnalysisResult { | |
| 100 | bool inconsistent{false}; | ||
| 101 | int rank{0}; | ||
| 102 | std::vector<double> solution; | ||
| 103 | }; | ||
| 104 | |||
| 105 | bool IsRowAllZeros(const std::vector<double> &row, int cols) { | ||
| 106 |
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344 | for (int j = 0; j < cols; j++) { |
| 107 |
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344 | if (!IsZero(row[j])) { |
| 108 | return false; | ||
| 109 | } | ||
| 110 | } | ||
| 111 | return true; | ||
| 112 | } | ||
| 113 | |||
| 114 | 88 | bool CheckRowInconsistency(const std::vector<double> &row, int m) { | |
| 115 |
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176 | return IsRowAllZeros(row, m - 1) && !IsZero(row[m - 1]); |
| 116 | } | ||
| 117 | |||
| 118 | void ExtractSolutionFromRow(const std::vector<double> &row, int m, std::vector<double> &solution) { | ||
| 119 |
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172 | for (int j = 0; j < m - 1; j++) { |
| 120 |
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172 | if (!IsZero(row[j])) { |
| 121 | 88 | solution[j] = row[m - 1]; | |
| 122 | 88 | break; | |
| 123 | } | ||
| 124 | } | ||
| 125 | } | ||
| 126 | |||
| 127 | 34 | MatrixAnalysisResult AnalyzeMatrixAndExtractSolution(const std::vector<std::vector<double>> &matrix, int n, int m) { | |
| 128 | 34 | MatrixAnalysisResult result; | |
| 129 |
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34 | result.solution.resize(m - 1, 0.0); |
| 130 | |||
| 131 |
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122 | for (int i = 0; i < n; i++) { |
| 132 | 88 | bool has_non_zero = !IsRowAllZeros(matrix[i], m - 1); | |
| 133 | |||
| 134 |
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88 | if (CheckRowInconsistency(matrix[i], m)) { |
| 135 | ✗ | result.inconsistent = true; | |
| 136 | } | ||
| 137 | |||
| 138 |
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88 | if (has_non_zero) { |
| 139 | 88 | result.rank++; | |
| 140 | } | ||
| 141 | |||
| 142 |
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88 | if (i < m - 1) { |
| 143 | ExtractSolutionFromRow(matrix[i], m, result.solution); | ||
| 144 | } | ||
| 145 | } | ||
| 146 | |||
| 147 | 34 | return result; | |
| 148 | } | ||
| 149 | |||
| 150 | 34 | void BroadcastMatrixDimensions(int &n, int &m) { | |
| 151 | 34 | MPI_Bcast(&n, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 152 | 34 | MPI_Bcast(&m, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 153 | 34 | } | |
| 154 | |||
| 155 | 17 | void FlattenAndBroadcastMatrix(const std::vector<std::vector<double>> &input, int n, int m) { | |
| 156 | 17 | std::vector<double> flat_matrix(static_cast<size_t>(n * m)); | |
| 157 |
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61 | for (int i = 0; i < n; i++) { |
| 158 |
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216 | for (int j = 0; j < m; j++) { |
| 159 | 172 | flat_matrix[(static_cast<size_t>(i) * static_cast<size_t>(m)) + static_cast<size_t>(j)] = input[i][j]; | |
| 160 | } | ||
| 161 | } | ||
| 162 |
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17 | MPI_Bcast(flat_matrix.data(), n * m, MPI_DOUBLE, 0, MPI_COMM_WORLD); |
| 163 | 17 | } | |
| 164 | |||
| 165 | 17 | void ReceiveAndUnflattenMatrix(std::vector<std::vector<double>> &input, int n, int m) { | |
| 166 |
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17 | std::vector<double> flat_matrix(static_cast<size_t>(n * m)); |
| 167 |
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17 | MPI_Bcast(flat_matrix.data(), n * m, MPI_DOUBLE, 0, MPI_COMM_WORLD); |
| 168 |
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17 | input = std::vector<std::vector<double>>(static_cast<size_t>(n), std::vector<double>(static_cast<size_t>(m))); |
| 169 |
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61 | for (int i = 0; i < n; i++) { |
| 170 |
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216 | for (int j = 0; j < m; j++) { |
| 171 | 172 | input[i][j] = flat_matrix[(static_cast<size_t>(i) * static_cast<size_t>(m)) + static_cast<size_t>(j)]; | |
| 172 | } | ||
| 173 | } | ||
| 174 | 17 | } | |
| 175 | |||
| 176 | } // namespace | ||
| 177 | |||
| 178 |
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34 | GaivoronskiyMGaussJordanMPI::GaivoronskiyMGaussJordanMPI(const InType &in) { |
| 179 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 180 |
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34 | InType tmp(in); |
| 181 | GetInput().swap(tmp); | ||
| 182 | 34 | } | |
| 183 | |||
| 184 | 34 | bool GaivoronskiyMGaussJordanMPI::ValidationImpl() { | |
| 185 | 34 | int rank = 0; | |
| 186 | 34 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 187 | |||
| 188 |
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34 | if (rank == 0) { |
| 189 |
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17 | if (GetInput().empty()) { |
| 190 | return true; | ||
| 191 | } | ||
| 192 | size_t cols = GetInput()[0].size(); | ||
| 193 | std::size_t total = 0; | ||
| 194 |
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61 | for (const auto &row : GetInput()) { |
| 195 | 44 | total += row.size(); | |
| 196 | } | ||
| 197 |
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17 | bool valid = GetOutput().empty() && (cols != 0) && ((cols * GetInput().size()) == total); |
| 198 | 17 | int valid_int = valid ? 1 : 0; | |
| 199 | 17 | MPI_Bcast(&valid_int, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 200 | 17 | return valid; | |
| 201 | } | ||
| 202 | |||
| 203 | 17 | int valid_int = 0; | |
| 204 | 17 | MPI_Bcast(&valid_int, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 205 | 17 | return valid_int != 0; | |
| 206 | } | ||
| 207 | |||
| 208 | 34 | bool GaivoronskiyMGaussJordanMPI::PreProcessingImpl() { | |
| 209 | 34 | int rank = 0; | |
| 210 | 34 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 211 | |||
| 212 | GetOutput().clear(); | ||
| 213 | |||
| 214 | 34 | int n = 0; | |
| 215 | 34 | int m = 0; | |
| 216 | |||
| 217 |
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34 | if (rank == 0) { |
| 218 | 17 | n = static_cast<int>(GetInput().size()); | |
| 219 |
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17 | m = (n > 0) ? static_cast<int>(GetInput()[0].size()) : 0; |
| 220 | } | ||
| 221 | |||
| 222 | 34 | BroadcastMatrixDimensions(n, m); | |
| 223 | |||
| 224 |
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34 | if (n == 0 || m == 0) { |
| 225 | return true; | ||
| 226 | } | ||
| 227 | |||
| 228 |
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34 | if (rank == 0) { |
| 229 | 17 | FlattenAndBroadcastMatrix(GetInput(), n, m); | |
| 230 | } else { | ||
| 231 | 17 | ReceiveAndUnflattenMatrix(GetInput(), n, m); | |
| 232 | } | ||
| 233 | |||
| 234 | return true; | ||
| 235 | } | ||
| 236 | |||
| 237 | 34 | bool GaivoronskiyMGaussJordanMPI::RunImpl() { | |
| 238 | 34 | int rank = 0; | |
| 239 | 34 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 240 | |||
| 241 |
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34 | if (GetInput().empty()) { |
| 242 | return true; | ||
| 243 | } | ||
| 244 | |||
| 245 | 34 | std::vector<std::vector<double>> matrix = GetInput(); | |
| 246 | 34 | int n = static_cast<int>(matrix.size()); | |
| 247 |
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34 | int m = (n > 0) ? static_cast<int>(matrix[0].size()) : 0; |
| 248 | |||
| 249 |
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34 | if (m == 0) { |
| 250 | return false; | ||
| 251 | } | ||
| 252 | |||
| 253 |
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34 | PerformGaussJordanElimination(matrix, n, m); |
| 254 | |||
| 255 |
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34 | MatrixAnalysisResult local_result = AnalyzeMatrixAndExtractSolution(matrix, n, m); |
| 256 | |||
| 257 | 34 | bool inconsistent_global = false; | |
| 258 | 34 | int rank_global = 0; | |
| 259 |
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34 | MPI_Reduce(&local_result.inconsistent, &inconsistent_global, 1, MPI_C_BOOL, MPI_LOR, 0, MPI_COMM_WORLD); |
| 260 |
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34 | MPI_Reduce(&local_result.rank, &rank_global, 1, MPI_INT, MPI_MAX, 0, MPI_COMM_WORLD); |
| 261 |
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34 | MPI_Bcast(&rank_global, 1, MPI_INT, 0, MPI_COMM_WORLD); |
| 262 | |||
| 263 | 34 | int solution_type = 0; | |
| 264 |
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34 | if (rank == 0) { |
| 265 |
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17 | if (inconsistent_global) { |
| 266 | solution_type = 0; | ||
| 267 | ✗ | GetOutput() = std::vector<double>(); | |
| 268 |
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17 | } else if (rank_global < m - 1 && rank_global < n) { |
| 269 | ✗ | solution_type = -1; | |
| 270 | ✗ | GetOutput() = std::vector<double>(); | |
| 271 | } else { | ||
| 272 |
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17 | solution_type = 1; |
| 273 |
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17 | GetOutput() = local_result.solution; |
| 274 | } | ||
| 275 | } | ||
| 276 | |||
| 277 |
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34 | MPI_Bcast(&solution_type, 1, MPI_INT, 0, MPI_COMM_WORLD); |
| 278 | |||
| 279 |
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34 | if (solution_type != 1) { |
| 280 | ✗ | if (rank != 0) { | |
| 281 | ✗ | GetOutput() = std::vector<double>(); | |
| 282 | } | ||
| 283 | ✗ | return false; | |
| 284 | } | ||
| 285 | |||
| 286 | 34 | int solution_size = static_cast<int>(GetOutput().size()); | |
| 287 |
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34 | MPI_Bcast(&solution_size, 1, MPI_INT, 0, MPI_COMM_WORLD); |
| 288 | |||
| 289 |
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34 | if (rank != 0) { |
| 290 |
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17 | GetOutput().resize(static_cast<size_t>(solution_size)); |
| 291 | } | ||
| 292 | |||
| 293 |
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34 | if (solution_size > 0) { |
| 294 |
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34 | MPI_Bcast(GetOutput().data(), solution_size, MPI_DOUBLE, 0, MPI_COMM_WORLD); |
| 295 | } | ||
| 296 | |||
| 297 | return true; | ||
| 298 | 34 | } | |
| 299 | |||
| 300 | 34 | bool GaivoronskiyMGaussJordanMPI::PostProcessingImpl() { | |
| 301 | 34 | return true; | |
| 302 | } | ||
| 303 | |||
| 304 | } // namespace gaivoronskiy_m_gauss_jordan | ||
| 305 |