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|---|---|---|---|
| 1 | #include "ivanova_p_simple_iteration_method/mpi/include/ops_mpi.hpp" | ||
| 2 | |||
| 3 | #include <mpi.h> | ||
| 4 | |||
| 5 | #include <cmath> | ||
| 6 | #include <cstddef> | ||
| 7 | #include <vector> | ||
| 8 | |||
| 9 | #include "ivanova_p_simple_iteration_method/common/include/common.hpp" | ||
| 10 | |||
| 11 | namespace ivanova_p_simple_iteration_method { | ||
| 12 | |||
| 13 | namespace { // Анонимный namespace для всех вспомогательных функций | ||
| 14 | |||
| 15 | // Распределение строк матрицы по процессам | ||
| 16 | 20 | void ComputeDistribution(int n, int size, std::vector<int> &row_counts, std::vector<int> &row_displs, | |
| 17 | std::vector<int> &matrix_counts, std::vector<int> &matrix_displs) { | ||
| 18 | int row_offset = 0; | ||
| 19 | int matrix_offset = 0; | ||
| 20 | |||
| 21 |
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60 | for (int proc = 0; proc < size; ++proc) { |
| 22 | 40 | int base_rows = n / size; | |
| 23 |
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40 | int extra = (proc < (n % size)) ? 1 : 0; |
| 24 | 40 | int proc_rows = base_rows + extra; | |
| 25 | |||
| 26 | 40 | row_counts[proc] = proc_rows; | |
| 27 | 40 | row_displs[proc] = row_offset; | |
| 28 | 40 | matrix_counts[proc] = proc_rows * n; | |
| 29 | 40 | matrix_displs[proc] = matrix_offset; | |
| 30 | |||
| 31 | 40 | row_offset += proc_rows; | |
| 32 | 40 | matrix_offset += proc_rows * n; | |
| 33 | } | ||
| 34 | 20 | } | |
| 35 | |||
| 36 | // Инициализация матрицы и вектора (на нулевом процессе) | ||
| 37 | 10 | void InitializeSystem(std::vector<double> &flat_matrix, std::vector<double> &b, int n) { | |
| 38 | 10 | flat_matrix.resize(static_cast<size_t>(n) * n, 0.0); | |
| 39 |
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153 | for (int i = 0; i < n; ++i) { |
| 40 | 143 | flat_matrix[(static_cast<size_t>(i) * n) + i] = 1.0; // Единичная матрица | |
| 41 | } | ||
| 42 | 10 | b.resize(n, 1.0); // Вектор из единиц | |
| 43 | 10 | } | |
| 44 | |||
| 45 | // Вычисление локального произведения (часть матрично-векторного умножения) | ||
| 46 | 438 | void ComputeLocalProduct(const std::vector<double> &local_matrix, const std::vector<double> &x, | |
| 47 | const std::vector<double> &local_b, std::vector<double> &local_x_new, int local_rows, | ||
| 48 | int start_row, int n, double tau) { | ||
| 49 |
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3677 | for (int i = 0; i < local_rows; ++i) { |
| 50 | double ax_i = 0.0; | ||
| 51 |
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99710 | for (int j = 0; j < n; ++j) { |
| 52 | 96471 | ax_i += local_matrix[(static_cast<size_t>(i) * n) + j] * x[j]; | |
| 53 | } | ||
| 54 | 3239 | local_x_new[i] = x[start_row + i] - (tau * (ax_i - local_b[i])); | |
| 55 | } | ||
| 56 | 438 | } | |
| 57 | |||
| 58 | // Новая функция: сбор нового вектора | ||
| 59 | 438 | void AllGatherVector(const std::vector<double> &local_x, std::vector<double> &x_global, | |
| 60 | const std::vector<int> &row_counts, const std::vector<int> &row_displs) { | ||
| 61 | 438 | const int local_size = static_cast<int>(local_x.size()); | |
| 62 | 438 | MPI_Allgatherv(local_x.data(), local_size, MPI_DOUBLE, x_global.data(), row_counts.data(), row_displs.data(), | |
| 63 | MPI_DOUBLE, MPI_COMM_WORLD); | ||
| 64 | 438 | } | |
| 65 | |||
| 66 | // Новая функция: проверка сходимости для всех процессов | ||
| 67 | 438 | bool CheckConvergenceAll(double local_diff, double epsilon) { | |
| 68 | 438 | double global_diff = 0.0; | |
| 69 | 438 | MPI_Allreduce(&local_diff, &global_diff, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); | |
| 70 | 438 | return std::sqrt(global_diff) < epsilon; | |
| 71 | } | ||
| 72 | |||
| 73 | // Вычисление локальной нормы разности | ||
| 74 | double ComputeLocalDiff(const std::vector<double> &x_new, const std::vector<double> &x, int local_rows, int start_row) { | ||
| 75 | double local_diff = 0.0; | ||
| 76 |
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3677 | for (int i = 0; i < local_rows; ++i) { |
| 77 | 3239 | double d = x_new[start_row + i] - x[start_row + i]; | |
| 78 | 3239 | local_diff += d * d; | |
| 79 | } | ||
| 80 | return local_diff; | ||
| 81 | } | ||
| 82 | |||
| 83 | } // namespace | ||
| 84 | |||
| 85 | 20 | IvanovaPSimpleIterationMethodMPI::IvanovaPSimpleIterationMethodMPI(const InType &in) { | |
| 86 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 87 | 20 | GetInput() = in; | |
| 88 | GetOutput() = 0; | ||
| 89 | 20 | } | |
| 90 | |||
| 91 | 20 | bool IvanovaPSimpleIterationMethodMPI::ValidationImpl() { | |
| 92 | 20 | int rank = 0; | |
| 93 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 94 | |||
| 95 | 20 | int is_valid = 0; | |
| 96 |
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20 | if (rank == 0) { |
| 97 |
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10 | is_valid = ((GetInput() > 0) && (GetOutput() == 0)) ? 1 : 0; |
| 98 | } | ||
| 99 | |||
| 100 | 20 | MPI_Bcast(&is_valid, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 101 | 20 | return is_valid != 0; | |
| 102 | } | ||
| 103 | |||
| 104 | 20 | bool IvanovaPSimpleIterationMethodMPI::PreProcessingImpl() { | |
| 105 | 20 | int rank = 0; | |
| 106 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 107 | |||
| 108 |
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20 | if (rank == 0) { |
| 109 | 10 | GetOutput() = 0; | |
| 110 | } | ||
| 111 | |||
| 112 | 20 | MPI_Barrier(MPI_COMM_WORLD); | |
| 113 | 20 | return true; | |
| 114 | } | ||
| 115 | |||
| 116 | 20 | bool IvanovaPSimpleIterationMethodMPI::RunImpl() { | |
| 117 | 20 | int n = GetInput(); | |
| 118 |
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20 | if (n <= 0) { |
| 119 | return false; | ||
| 120 | } | ||
| 121 | |||
| 122 | 20 | int rank = 0; | |
| 123 | 20 | int size = 0; | |
| 124 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 125 | 20 | MPI_Comm_size(MPI_COMM_WORLD, &size); | |
| 126 | |||
| 127 | // Вычисляем распределение данных | ||
| 128 | 20 | std::vector<int> row_counts(size); | |
| 129 |
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20 | std::vector<int> row_displs(size); |
| 130 |
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20 | std::vector<int> matrix_counts(size); |
| 131 |
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20 | std::vector<int> matrix_displs(size); |
| 132 | |||
| 133 | 20 | ComputeDistribution(n, size, row_counts, row_displs, matrix_counts, matrix_displs); | |
| 134 | |||
| 135 |
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20 | int local_rows = row_counts[rank]; |
| 136 | 20 | int start_row = row_displs[rank]; | |
| 137 | |||
| 138 | // Подготовка данных на нулевом процессе | ||
| 139 | 20 | std::vector<double> flat_matrix; | |
| 140 | 20 | std::vector<double> b; | |
| 141 | |||
| 142 |
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20 | if (rank == 0) { |
| 143 |
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10 | InitializeSystem(flat_matrix, b, n); |
| 144 | } | ||
| 145 | |||
| 146 | // Распределение матрицы по процессам (плоский формат) | ||
| 147 |
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20 | std::vector<double> local_matrix(static_cast<size_t>(local_rows) * n, 0.0); |
| 148 |
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20 | MPI_Scatterv(flat_matrix.data(), matrix_counts.data(), matrix_displs.data(), MPI_DOUBLE, local_matrix.data(), |
| 149 | local_rows * n, MPI_DOUBLE, 0, MPI_COMM_WORLD); | ||
| 150 | |||
| 151 | // Распределение вектора b по процессам | ||
| 152 |
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20 | std::vector<double> local_b(local_rows, 0.0); |
| 153 |
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20 | MPI_Scatterv(b.data(), row_counts.data(), row_displs.data(), MPI_DOUBLE, local_b.data(), local_rows, MPI_DOUBLE, 0, |
| 154 | MPI_COMM_WORLD); | ||
| 155 | |||
| 156 | // Параметры метода | ||
| 157 | const double tau = 0.5; | ||
| 158 | const double epsilon = 1e-6; | ||
| 159 | const int max_iterations = 1000; | ||
| 160 | |||
| 161 | // Инициализация вектора решения | ||
| 162 |
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20 | std::vector<double> x(n, 0.0); |
| 163 |
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20 | std::vector<double> x_new(n, 0.0); |
| 164 |
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20 | std::vector<double> local_x_new(local_rows, 0.0); |
| 165 | |||
| 166 | // Метод простой итерации | ||
| 167 |
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438 | for (int iteration = 0; iteration < max_iterations; ++iteration) { |
| 168 | 438 | ComputeLocalProduct(local_matrix, x, local_b, local_x_new, local_rows, start_row, n, tau); | |
| 169 | |||
| 170 |
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438 | AllGatherVector(local_x_new, x_new, row_counts, row_displs); |
| 171 | |||
| 172 | double local_diff = ComputeLocalDiff(x_new, x, local_rows, start_row); | ||
| 173 | |||
| 174 | x.swap(x_new); | ||
| 175 | |||
| 176 |
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438 | if (CheckConvergenceAll(local_diff, epsilon)) { |
| 177 | break; | ||
| 178 | } | ||
| 179 | } | ||
| 180 | |||
| 181 | // Вычисление суммы компонент вектора решения | ||
| 182 | 20 | double local_sum = 0.0; | |
| 183 |
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163 | for (int i = 0; i < local_rows; ++i) { |
| 184 | 143 | local_sum += x[start_row + i]; | |
| 185 | } | ||
| 186 | |||
| 187 | // Сбор результата на нулевом процессе | ||
| 188 | 20 | double global_sum = 0.0; | |
| 189 |
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20 | MPI_Reduce(&local_sum, &global_sum, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); |
| 190 | |||
| 191 | // Сохранение результата и рассылка всем процессам | ||
| 192 |
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20 | if (rank == 0) { |
| 193 | 10 | GetOutput() = static_cast<int>(std::round(global_sum)); | |
| 194 | } | ||
| 195 | |||
| 196 |
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20 | MPI_Bcast(&GetOutput(), 1, MPI_INT, 0, MPI_COMM_WORLD); |
| 197 | |||
| 198 | return true; | ||
| 199 | } | ||
| 200 | |||
| 201 | 20 | bool IvanovaPSimpleIterationMethodMPI::PostProcessingImpl() { | |
| 202 | 20 | return GetOutput() > 0; | |
| 203 | } | ||
| 204 | |||
| 205 | } // namespace ivanova_p_simple_iteration_method | ||
| 206 |