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|---|---|---|---|
| 1 | #include "chyokotov_a_seidel_method/mpi/include/ops_mpi.hpp" | ||
| 2 | |||
| 3 | #include <mpi.h> | ||
| 4 | |||
| 5 | #include <algorithm> | ||
| 6 | #include <climits> | ||
| 7 | #include <cmath> | ||
| 8 | #include <cstddef> | ||
| 9 | #include <utility> | ||
| 10 | #include <vector> | ||
| 11 | |||
| 12 | #include "chyokotov_a_seidel_method/common/include/common.hpp" | ||
| 13 | |||
| 14 | namespace chyokotov_a_seidel_method { | ||
| 15 | |||
| 16 |
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10 | ChyokotovASeidelMethodMPI::ChyokotovASeidelMethodMPI(const InType &in) { |
| 17 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 18 | GetInput().first.clear(); | ||
| 19 |
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10 | GetInput().first.reserve(in.first.size()); |
| 20 |
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30 | for (const auto &row : in.first) { |
| 21 |
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20 | GetInput().first.push_back(row); |
| 22 | } | ||
| 23 | GetInput().second.clear(); | ||
| 24 |
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10 | GetInput().second = in.second; |
| 25 | GetOutput().clear(); | ||
| 26 | 10 | } | |
| 27 | |||
| 28 | 4 | bool ChyokotovASeidelMethodMPI::CheckMatrix() { | |
| 29 | const auto &matrix = GetInput().first; | ||
| 30 | size_t n = matrix[0].size(); | ||
| 31 | |||
| 32 |
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14 | for (const auto &row : matrix) { |
| 33 |
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10 | if (row.size() != n) { |
| 34 | return false; | ||
| 35 | } | ||
| 36 | } | ||
| 37 |
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14 | for (size_t i = 0; i < n; ++i) { |
| 38 | double sum = 0.0; | ||
| 39 |
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40 | for (size_t j = 0; j < n; ++j) { |
| 40 |
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30 | if (i != j) { |
| 41 | 20 | sum += std::abs(matrix[i][j]); | |
| 42 | } | ||
| 43 | } | ||
| 44 |
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10 | if (std::abs(matrix[i][i]) <= sum) { |
| 45 | return false; | ||
| 46 | } | ||
| 47 | } | ||
| 48 | return true; | ||
| 49 | } | ||
| 50 | |||
| 51 | 10 | bool ChyokotovASeidelMethodMPI::ValidationImpl() { | |
| 52 | 10 | int rank{}; | |
| 53 | |||
| 54 | 10 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 55 | |||
| 56 | 10 | int is_valid = 1; | |
| 57 | |||
| 58 |
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10 | if (rank == 0) { |
| 59 | const auto &matrix = GetInput().first; | ||
| 60 | const auto &vec = GetInput().second; | ||
| 61 | |||
| 62 |
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5 | if (!matrix.empty()) { |
| 63 |
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4 | if (vec.size() != matrix.size() || !CheckMatrix()) { |
| 64 | ✗ | is_valid = 0; | |
| 65 | } | ||
| 66 | } | ||
| 67 | } | ||
| 68 | |||
| 69 | 10 | MPI_Bcast(&is_valid, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 70 | |||
| 71 | 10 | return (is_valid == 1); | |
| 72 | } | ||
| 73 | |||
| 74 | 10 | bool ChyokotovASeidelMethodMPI::PreProcessingImpl() { | |
| 75 | 10 | GetOutput().resize(GetInput().first.size(), 0.0); | |
| 76 | if (GetInput().first.empty()) { | ||
| 77 | return true; | ||
| 78 | } | ||
| 79 | return true; | ||
| 80 | } | ||
| 81 | |||
| 82 | 10 | void ChyokotovASeidelMethodMPI::ExchangeMatrixData(int rank, int size, int n, std::vector<std::vector<double>> &a, | |
| 83 | std::vector<double> &b, const std::vector<int> &displs, | ||
| 84 | int local_rows) { | ||
| 85 |
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10 | if (rank == 0) { |
| 86 | const auto &matrix = GetInput().first; | ||
| 87 | const auto &vector = GetInput().second; | ||
| 88 |
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11 | for (int i = 0; i < local_rows; i++) { |
| 89 | 6 | a[i] = matrix[i]; | |
| 90 | 6 | b[i] = vector[i]; | |
| 91 | } | ||
| 92 | |||
| 93 | 5 | int base = n / size; | |
| 94 | 5 | int rem = n % size; | |
| 95 |
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10 | for (int proc = 1; proc < size; proc++) { |
| 96 |
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5 | int proc_rows = base + (proc < rem ? 1 : 0); |
| 97 | 5 | int proc_start = displs[proc]; | |
| 98 | |||
| 99 |
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9 | for (int i = 0; i < proc_rows; i++) { |
| 100 | 4 | int row_idx = proc_start + i; | |
| 101 | 4 | MPI_Send(matrix[row_idx].data(), n, MPI_DOUBLE, proc, 0, MPI_COMM_WORLD); | |
| 102 | 4 | MPI_Send(&vector[row_idx], 1, MPI_DOUBLE, proc, 1, MPI_COMM_WORLD); | |
| 103 | } | ||
| 104 | } | ||
| 105 | } else { | ||
| 106 |
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9 | for (int i = 0; i < local_rows; i++) { |
| 107 | 4 | MPI_Recv(a[i].data(), n, MPI_DOUBLE, 0, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE); | |
| 108 | 4 | MPI_Recv(&b[i], 1, MPI_DOUBLE, 0, 1, MPI_COMM_WORLD, MPI_STATUS_IGNORE); | |
| 109 | } | ||
| 110 | } | ||
| 111 | 10 | } | |
| 112 | |||
| 113 | 10 | std::pair<int, int> ChyokotovASeidelMethodMPI::DistributeMatrixData(int rank, int size, int n, | |
| 114 | std::vector<std::vector<double>> &a, | ||
| 115 | std::vector<double> &b, std::vector<int> &displs, | ||
| 116 | std::vector<int> &counts) { | ||
| 117 | 10 | int base = n / size; | |
| 118 | 10 | int rem = n % size; | |
| 119 | |||
| 120 |
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10 | int local_rows = base + (rank < rem ? 1 : 0); |
| 121 | 10 | int local_start = (rank * base) + std::min(rank, rem); | |
| 122 | |||
| 123 | 10 | a.resize(local_rows); | |
| 124 |
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20 | for (auto &row : a) { |
| 125 | 10 | row.resize(n); | |
| 126 | } | ||
| 127 | 10 | b.resize(local_rows); | |
| 128 | |||
| 129 |
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30 | for (int i = 0; i < size; i++) { |
| 130 |
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36 | counts[i] = base + (i < rem ? 1 : 0); |
| 131 |
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20 | displs[i] = (i == 0) ? 0 : displs[i - 1] + counts[i - 1]; |
| 132 | } | ||
| 133 | |||
| 134 | 10 | ExchangeMatrixData(rank, size, n, a, b, displs, local_rows); | |
| 135 | |||
| 136 | 10 | return std::make_pair(local_rows, local_start); | |
| 137 | } | ||
| 138 | |||
| 139 | 10 | void ChyokotovASeidelMethodMPI::Iteration(int n, int local_rows, int local_start, | |
| 140 | std::vector<std::vector<double>> &my_a, std::vector<double> &my_b, | ||
| 141 | std::vector<int> &displs, std::vector<int> &counts) { | ||
| 142 | 10 | std::vector<double> my_x(local_rows); | |
| 143 | std::vector<double> &x = GetOutput(); | ||
| 144 | |||
| 145 |
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60 | for (int iter = 0; iter < 1000; iter++) { |
| 146 | 60 | double local_max_diff = 0.0; | |
| 147 | |||
| 148 |
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139 | for (int i = 0; i < local_rows; i++) { |
| 149 | 79 | int global_i = local_start + i; | |
| 150 | 79 | double sum = my_b[i]; | |
| 151 | |||
| 152 |
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158 | for (int j = 0; j < global_i; j++) { |
| 153 | 79 | sum -= my_a[i][j] * x[j]; | |
| 154 | } | ||
| 155 |
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158 | for (int j = global_i + 1; j < n; j++) { |
| 156 | 79 | sum -= my_a[i][j] * x[j]; | |
| 157 | } | ||
| 158 | |||
| 159 | 79 | double new_xi = sum / my_a[i][global_i]; | |
| 160 | 79 | double diff = std::abs(new_xi - x[global_i]); | |
| 161 | |||
| 162 | 79 | local_max_diff = std::max(local_max_diff, diff); | |
| 163 | |||
| 164 | 79 | my_x[i] = new_xi; | |
| 165 | 79 | x[global_i] = new_xi; | |
| 166 | } | ||
| 167 | |||
| 168 |
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60 | MPI_Allgatherv(MPI_IN_PLACE, 0, MPI_DATATYPE_NULL, x.data(), counts.data(), displs.data(), MPI_DOUBLE, |
| 169 | MPI_COMM_WORLD); | ||
| 170 | |||
| 171 | 60 | double global_diff{}; | |
| 172 |
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60 | MPI_Allreduce(&local_max_diff, &global_diff, 1, MPI_DOUBLE, MPI_MAX, MPI_COMM_WORLD); |
| 173 | |||
| 174 |
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60 | if (global_diff < 0.00001) { |
| 175 | break; | ||
| 176 | } | ||
| 177 | } | ||
| 178 | 10 | } | |
| 179 | |||
| 180 | 10 | bool ChyokotovASeidelMethodMPI::RunImpl() { | |
| 181 | 10 | int rank{}; | |
| 182 | 10 | int size{}; | |
| 183 | |||
| 184 | 10 | MPI_Comm_rank(MPI_COMM_WORLD, &rank); | |
| 185 | 10 | MPI_Comm_size(MPI_COMM_WORLD, &size); | |
| 186 | |||
| 187 | 10 | int n{}; | |
| 188 | |||
| 189 |
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10 | if (rank == 0) { |
| 190 | auto &matrix = GetInput().first; | ||
| 191 | 5 | n = static_cast<int>(matrix.size()); | |
| 192 | } | ||
| 193 | |||
| 194 | 10 | MPI_Bcast(&n, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 195 | |||
| 196 | 10 | std::vector<int> displs(size); | |
| 197 |
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10 | std::vector<int> counts(size); |
| 198 | |||
| 199 | 10 | std::vector<std::vector<double>> my_a; | |
| 200 | 10 | std::vector<double> my_b; | |
| 201 | |||
| 202 |
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10 | std::pair<int, int> p = DistributeMatrixData(rank, size, n, my_a, my_b, displs, counts); |
| 203 | 10 | int local_rows = p.first; | |
| 204 | 10 | int local_start = p.second; | |
| 205 | |||
| 206 |
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10 | Iteration(n, local_rows, local_start, my_a, my_b, displs, counts); |
| 207 | |||
| 208 | 10 | return true; | |
| 209 | 10 | } | |
| 210 | |||
| 211 | 10 | bool ChyokotovASeidelMethodMPI::PostProcessingImpl() { | |
| 212 | 10 | return true; | |
| 213 | } | ||
| 214 | |||
| 215 | } // namespace chyokotov_a_seidel_method | ||
| 216 |