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|---|---|---|---|
| 1 | #include "morozov_n_siedels_method/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 "morozov_n_siedels_method/common/include/common.hpp" | ||
| 11 | |||
| 12 | namespace morozov_n_siedels_method { | ||
| 13 | |||
| 14 |
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6 | MorozovNSiedelsMethodMPI::MorozovNSiedelsMethodMPI(const InType &in) { |
| 15 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 16 | GetInput() = in; | ||
| 17 | GetOutput(); | ||
| 18 | 6 | } | |
| 19 | |||
| 20 | 6 | bool MorozovNSiedelsMethodMPI::ValidationImpl() { | |
| 21 | 6 | int rank = 0; | |
| 22 | 6 | int mpi_size = 0; | |
| 23 | 6 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 24 | 6 | MPI_Comm_size(MPI_COMM_WORLD, &mpi_size); | |
| 25 | |||
| 26 | 6 | bool matrix_correct = false; | |
| 27 |
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6 | if (rank == 0) { |
| 28 | 3 | std::size_t n = std::get<0>(GetInput()); | |
| 29 | 3 | std::vector<double> a = std::get<1>(GetInput()); | |
| 30 |
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3 | std::vector<double> b = std::get<2>(GetInput()); |
| 31 |
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3 | if ((a.size() == (n * n)) && (b.size() == n)) { |
| 32 |
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3 | int rank_a = CalcMatrixRank(n, n, a); |
| 33 | // вычисление расширенной матрицы | ||
| 34 | 3 | std::vector<double> ext_a; | |
| 35 |
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27 | for (std::size_t i = 0; i < n; i++) { |
| 36 |
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312 | for (std::size_t j = 0; j < n; j++) { |
| 37 |
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288 | ext_a.push_back(a[(i * n) + j]); |
| 38 | } | ||
| 39 | ext_a.push_back(b[i]); | ||
| 40 | } | ||
| 41 |
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3 | int rank_ext_a = CalcMatrixRank(n, n + 1, ext_a); |
| 42 |
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3 | if (rank_a >= rank_ext_a) { |
| 43 | 3 | matrix_correct = true; | |
| 44 | } | ||
| 45 | } | ||
| 46 | } | ||
| 47 | 6 | MPI_Bcast(&matrix_correct, 1, MPI_BYTE, 0, MPI_COMM_WORLD); | |
| 48 | 6 | return matrix_correct; | |
| 49 | } | ||
| 50 | |||
| 51 | 6 | bool MorozovNSiedelsMethodMPI::PreProcessingImpl() { | |
| 52 | 6 | return true; | |
| 53 | } | ||
| 54 | |||
| 55 | 6 | bool MorozovNSiedelsMethodMPI::RunImpl() { | |
| 56 | 6 | double eps = std::get<3>(GetInput()); | |
| 57 | |||
| 58 | 6 | int rank = 0; | |
| 59 | 6 | int mpi_size = 0; | |
| 60 | 6 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 61 | 6 | MPI_Comm_size(MPI_COMM_WORLD, &mpi_size); | |
| 62 | |||
| 63 | double *a = nullptr; | ||
| 64 | double *b = nullptr; | ||
| 65 | |||
| 66 | 6 | std::size_t n = 0; | |
| 67 |
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6 | if (rank == 0) { |
| 68 | 3 | n = std::get<0>(GetInput()); | |
| 69 | a = std::get<1>(GetInput()).data(); | ||
| 70 | b = std::get<2>(GetInput()).data(); | ||
| 71 | |||
| 72 | // debug | ||
| 73 | // { | ||
| 74 | // std::cout << n << "\n"; | ||
| 75 | // std::cout << "a: " << "\n"; | ||
| 76 | // for (int i = 0; i < n; i++) { | ||
| 77 | // for (int j = 0; j < n; j++) { | ||
| 78 | // std::cout << a[i * n + j] << " "; | ||
| 79 | // } | ||
| 80 | // std::cout << "\n"; | ||
| 81 | // } | ||
| 82 | // std::cout << "b: " << "\n"; | ||
| 83 | // for (int i = 0; i < n; i++) { | ||
| 84 | // std::cout << b[i] << " "; | ||
| 85 | // } | ||
| 86 | // std::cout << "\n--------------\n"; | ||
| 87 | // } | ||
| 88 | } | ||
| 89 | 6 | MPI_Bcast(&n, 1, MPI_UNSIGNED_LONG, 0, MPI_COMM_WORLD); | |
| 90 | |||
| 91 | 6 | int step = static_cast<int>(n) / mpi_size; | |
| 92 | 6 | int remainder = static_cast<int>(n) % mpi_size; | |
| 93 | |||
| 94 | 6 | std::vector<int> send_counts(mpi_size, step); | |
| 95 |
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6 | std::vector<int> displacements(mpi_size, 0); |
| 96 | std::size_t displacement = 0; | ||
| 97 |
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6 | for (int i = 0; i < remainder; ++i) { |
| 98 | ✗ | send_counts[i]++; | |
| 99 | } | ||
| 100 | |||
| 101 | 6 | displacements[0] = 0; | |
| 102 | int disp_sum = 0; | ||
| 103 |
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12 | for (int i = 1; i < mpi_size; ++i) { |
| 104 | 6 | disp_sum += send_counts[i - 1]; | |
| 105 | 6 | displacements[i] = disp_sum; | |
| 106 | } | ||
| 107 |
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6 | displacement = static_cast<std::size_t>(displacements[rank]); |
| 108 | |||
| 109 | // debug | ||
| 110 | // { | ||
| 111 | // if (rank == 0) { | ||
| 112 | // std::cout << "send_size: " << "\n"; | ||
| 113 | // for (int i = 0; i < mpi_size; i++) { | ||
| 114 | // std::cout << send_counts[i] << " "; | ||
| 115 | // } | ||
| 116 | // std::cout << "disp: " << "\n"; | ||
| 117 | // for (int i = 0; i < mpi_size; i++) { | ||
| 118 | // std::cout << displacements[i] << " "; | ||
| 119 | // } | ||
| 120 | // std::cout << "\n--------------\n"; | ||
| 121 | // } | ||
| 122 | // std::cout << "rank " << rank << " l_b size: " << send_counts[rank] << "\n"; | ||
| 123 | // } | ||
| 124 | |||
| 125 |
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6 | std::vector<double> local_b(send_counts[rank]); |
| 126 |
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6 | MPI_Scatterv(b, send_counts.data(), displacements.data(), MPI_DOUBLE, local_b.data(), |
| 127 | static_cast<int>(local_b.size()), MPI_DOUBLE, 0, MPI_COMM_WORLD); | ||
| 128 | |||
| 129 | // //debug | ||
| 130 | // { | ||
| 131 | // std::cout << "rank: " << rank << "\n"; | ||
| 132 | // for(int i = 0; i < send_counts[rank]; i++) { | ||
| 133 | // std::cout << local_b[i] << " "; | ||
| 134 | // } | ||
| 135 | // std::cout <<"\n--------------\n"; | ||
| 136 | // } | ||
| 137 | |||
| 138 |
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18 | for (int i = 0; i < mpi_size; i++) { |
| 139 | 12 | send_counts[i] *= static_cast<int>(n); | |
| 140 | 12 | displacements[i] *= static_cast<int>(n); | |
| 141 | } | ||
| 142 | |||
| 143 | // debug | ||
| 144 | // if(rank == 1) { | ||
| 145 | // std::cout << "send_size: " << "\n"; | ||
| 146 | // for(int i = 0; i < mpi_size; i++) { | ||
| 147 | // std::cout << send_counts[i] << " "; | ||
| 148 | // } | ||
| 149 | // std::cout <<"\n"; | ||
| 150 | // std::cout << "disp: " << "\n"; | ||
| 151 | // for(int i = 0; i < mpi_size; i++) { | ||
| 152 | // std::cout << displacements[i] << " "; | ||
| 153 | // } | ||
| 154 | // std::cout <<"\n--------------\n"; | ||
| 155 | // } | ||
| 156 | |||
| 157 |
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6 | std::vector<double> local_a(send_counts[rank]); |
| 158 |
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6 | MPI_Scatterv(a, send_counts.data(), displacements.data(), MPI_DOUBLE, local_a.data(), |
| 159 | static_cast<int>(local_a.size()), MPI_DOUBLE, 0, MPI_COMM_WORLD); | ||
| 160 | |||
| 161 |
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18 | for (int i = 0; i < mpi_size; i++) { |
| 162 | 12 | send_counts[i] /= static_cast<int>(n); | |
| 163 | 12 | displacements[i] /= static_cast<int>(n); | |
| 164 | } | ||
| 165 | |||
| 166 | // debug | ||
| 167 | // if (rank == 0) { | ||
| 168 | // std::cout << "send_size: " << "\n"; | ||
| 169 | // for (int i = 0; i < mpi_size; i++) { | ||
| 170 | // std::cout << send_counts[i] << " "; | ||
| 171 | // } | ||
| 172 | // std::cout << "\ndisp: " << "\n"; | ||
| 173 | // for (int i = 0; i < mpi_size; i++) { | ||
| 174 | // std::cout << displacements[i] << " "; | ||
| 175 | // } | ||
| 176 | // std::cout << "\n--------------\n"; | ||
| 177 | // } | ||
| 178 | |||
| 179 |
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6 | std::vector<double> x(n, 0); // вектор ответа |
| 180 |
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6 | std::vector<double> x_new(local_b.size(), 0); // вектор для рассылки |
| 181 |
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6 | std::vector<double> iter_eps(n, -1); // вектор погрешности |
| 182 |
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6 | std::vector<double> iter_eps_new(local_b.size(), -1); // вектор для рассылки |
| 183 | bool complete = false; | ||
| 184 |
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86 | while (!complete) { |
| 185 |
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444 | for (std::size_t i = 0; i < local_b.size(); i++) { |
| 186 | 364 | std::size_t g_row = displacement + i; // позиция строки в общей матрице | |
| 187 | 364 | double iter_x = local_b[i]; // результат на итерации | |
| 188 | // циклы с суммой без элмента диагонали | ||
| 189 |
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2542 | for (std::size_t j = 0; j < g_row; j++) { |
| 190 | 2178 | iter_x = iter_x - (local_a[(i * n) + j] * x[j]); | |
| 191 | } | ||
| 192 |
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2542 | for (std::size_t j = g_row + 1; j < n; j++) { |
| 193 | 2178 | iter_x = iter_x - (local_a[(i * n) + j] * x[j]); | |
| 194 | } | ||
| 195 | |||
| 196 | 364 | iter_x = iter_x / local_a[(i * n) + g_row]; // вычисление корня стоящего на диагонали | |
| 197 | // обновление погрешности | ||
| 198 | 364 | iter_eps[g_row] = std::fabs(iter_x - x[g_row]); | |
| 199 | 364 | iter_eps_new[i] = iter_eps[g_row]; | |
| 200 | // обновление полученного корня | ||
| 201 | 364 | x[g_row] = iter_x; | |
| 202 | 364 | x_new[i] = iter_x; | |
| 203 | } | ||
| 204 | |||
| 205 | // debug | ||
| 206 | // if (rank == 1) { | ||
| 207 | // std::cout << "local iteration rank: " << rank << "\n"; | ||
| 208 | // for (size_t i = 0; i < local_b.size(); i++) { | ||
| 209 | // std::cout << x_new[i] << " "; | ||
| 210 | // } | ||
| 211 | // std::cout << "\n"; | ||
| 212 | // } | ||
| 213 | |||
| 214 |
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80 | MPI_Allgatherv(x_new.data(), static_cast<int>(x_new.size()), MPI_DOUBLE, x.data(), send_counts.data(), |
| 215 | displacements.data(), MPI_DOUBLE, MPI_COMM_WORLD); | ||
| 216 | |||
| 217 |
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80 | MPI_Allgatherv(iter_eps_new.data(), static_cast<int>(iter_eps_new.size()), MPI_DOUBLE, iter_eps.data(), |
| 218 | send_counts.data(), displacements.data(), MPI_DOUBLE, MPI_COMM_WORLD); | ||
| 219 | |||
| 220 | 80 | complete = !EpsOutOfBound(iter_eps, eps); | |
| 221 | // debug | ||
| 222 | // if (rank == 0) { | ||
| 223 | // std::cout << "rank: " << rank << " iteration: " << iter_count <<" X:\n"; | ||
| 224 | // for(int i = 0; i < n; i++) { | ||
| 225 | // std::cout << x[i] << " "; | ||
| 226 | // } | ||
| 227 | // std::cout << "rank: " << rank << " iteration: " << iter_count <<" EPS:\n"; | ||
| 228 | // for(int i = 0; i < n; i++) { | ||
| 229 | // std::cout << iter_eps[i] << " "; | ||
| 230 | // } | ||
| 231 | // std::cout <<"\n--------\n"; | ||
| 232 | // } | ||
| 233 | // debug | ||
| 234 | // if (rank == 0) { | ||
| 235 | // std::cout << "answer X:\n"; | ||
| 236 | // for (int i = 0; i < n; i++) { | ||
| 237 | // std::cout << x[i] << " "; | ||
| 238 | // } | ||
| 239 | // std::cout << "\n"; | ||
| 240 | // } | ||
| 241 | } | ||
| 242 | |||
| 243 | // debug | ||
| 244 | // if (rank == 0) { | ||
| 245 | // std::string result = "answer X:\n"; | ||
| 246 | // for (int i = 0; i < n; i++) { | ||
| 247 | // result += std::to_string(x[i]) + " "; | ||
| 248 | // } | ||
| 249 | // result += '\n'; | ||
| 250 | // std::cout << result; | ||
| 251 | // } | ||
| 252 | |||
| 253 |
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6 | GetOutput() = x; |
| 254 | // std::cout << "rank:" << rank << " end of calc\n"; | ||
| 255 |
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6 | if (rank != 0) { |
| 256 |
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3 | delete[] a; |
| 257 |
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3 | delete[] b; |
| 258 | } | ||
| 259 | 6 | return true; | |
| 260 | } | ||
| 261 | |||
| 262 | 6 | bool MorozovNSiedelsMethodMPI::PostProcessingImpl() { | |
| 263 | 6 | return true; | |
| 264 | } | ||
| 265 | |||
| 266 | ✗ | bool MorozovNSiedelsMethodMPI::EpsOutOfBound(std::vector<double> &iter_eps, double correct_eps) { | |
| 267 | 80 | double max_in_iter = *std::ranges::max_element(iter_eps); | |
| 268 | // debug | ||
| 269 | // std::cout << max_in_iter << "\n"; | ||
| 270 | 80 | return max_in_iter > correct_eps; | |
| 271 | } | ||
| 272 | |||
| 273 | 6 | int MorozovNSiedelsMethodMPI::CalcMatrixRank(std::size_t n, std::size_t m, std::vector<double> &a) { | |
| 274 | const double e = 1e-9; | ||
| 275 |
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6 | std::vector<std::vector<double>> mat(n, std::vector<double>(m)); |
| 276 |
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54 | for (std::size_t i = 0; i < n; i++) { |
| 277 |
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648 | for (std::size_t j = 0; j < m; j++) { |
| 278 | 600 | mat[i][j] = a[(i * n) + j]; | |
| 279 | } | ||
| 280 | } | ||
| 281 | |||
| 282 | int rank = 0; | ||
| 283 |
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6 | std::vector<bool> row_selected(n, false); |
| 284 | |||
| 285 |
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54 | for (std::size_t col = 0; col < n; col++) { |
| 286 | 48 | std::size_t pivot_row = 0; | |
| 287 |
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48 | if (!GetPivotRow(&pivot_row, row_selected, col, mat, e)) { |
| 288 | ✗ | continue; | |
| 289 | } | ||
| 290 | 48 | rank++; | |
| 291 |
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48 | row_selected[pivot_row] = true; |
| 292 | // Нормализация строки и вычитание строки из других строк | ||
| 293 | //-> приведение к степнчатому виду | ||
| 294 | 48 | SubRow(pivot_row, col, mat, e); | |
| 295 | } | ||
| 296 | 6 | return rank; | |
| 297 | 6 | } | |
| 298 | |||
| 299 | 48 | bool MorozovNSiedelsMethodMPI::GetPivotRow(std::size_t *pivot_row, std::vector<bool> &row_selected, std::size_t col, | |
| 300 | std::vector<std::vector<double>> &mat, double e) { | ||
| 301 |
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312 | for (std::size_t row = 0; row < mat.size(); row++) { |
| 302 |
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312 | if (!row_selected[row] && std::fabs(mat[row][col]) > e) { |
| 303 | 48 | *pivot_row = row; | |
| 304 | 48 | return true; | |
| 305 | } | ||
| 306 | } | ||
| 307 | return false; | ||
| 308 | } | ||
| 309 | |||
| 310 | 48 | void MorozovNSiedelsMethodMPI::SubRow(std::size_t pivot_row, std::size_t col, std::vector<std::vector<double>> &mat, | |
| 311 | double e) { | ||
| 312 | std::size_t n = mat.size(); | ||
| 313 | std::size_t m = mat[0].size(); | ||
| 314 | // Нормализация строки | ||
| 315 | 48 | double pivot = mat[pivot_row][col]; | |
| 316 |
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360 | for (std::size_t j = col; j < n; j++) { |
| 317 | 312 | mat[pivot_row][j] /= pivot; | |
| 318 | } | ||
| 319 | // Вычитание текущей строки из других строк | ||
| 320 |
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624 | for (std::size_t row = 0; row < n; row++) { |
| 321 |
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576 | if (row != pivot_row && std::fabs(mat[row][col]) > e) { |
| 322 | double factor = mat[row][col]; | ||
| 323 |
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4992 | for (std::size_t j = col; j < m; j++) { |
| 324 | 4464 | mat[row][j] -= factor * mat[pivot_row][j]; | |
| 325 | } | ||
| 326 | } | ||
| 327 | } | ||
| 328 | 48 | } | |
| 329 | |||
| 330 | } // namespace morozov_n_siedels_method | ||
| 331 |