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|---|---|---|---|
| 1 | #include "samoylenko_i_simple_iter_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 "samoylenko_i_simple_iter_method/common/include/common.hpp" | ||
| 11 | |||
| 12 | namespace samoylenko_i_simple_iter_method { | ||
| 13 | |||
| 14 | 20 | SamoylenkoISimpleIterMethodMPI::SamoylenkoISimpleIterMethodMPI(const InType &in) { | |
| 15 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 16 | 20 | GetInput() = in; | |
| 17 | GetOutput().clear(); | ||
| 18 | 20 | } | |
| 19 | |||
| 20 | 20 | bool SamoylenkoISimpleIterMethodMPI::ValidationImpl() { | |
| 21 | 20 | int world_rank = 0; | |
| 22 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &world_rank); | |
| 23 | |||
| 24 | 20 | int valid = 0; | |
| 25 |
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20 | if (world_rank == 0) { |
| 26 |
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10 | valid = (GetInput() > 0 && GetOutput().empty()) ? 1 : 0; |
| 27 | } | ||
| 28 | |||
| 29 | 20 | MPI_Bcast(&valid, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 30 | 20 | return valid == 1; | |
| 31 | } | ||
| 32 | |||
| 33 | 20 | bool SamoylenkoISimpleIterMethodMPI::PreProcessingImpl() { | |
| 34 | 20 | int world_rank = 0; | |
| 35 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &world_rank); | |
| 36 | |||
| 37 |
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20 | if (world_rank == 0) { |
| 38 | GetOutput().clear(); | ||
| 39 | } | ||
| 40 | |||
| 41 | 20 | return true; | |
| 42 | } | ||
| 43 | |||
| 44 | namespace { | ||
| 45 | |||
| 46 | void CalculateDistribution(int n, int world_size, std::vector<int> &row_counts, std::vector<int> &row_displs) { | ||
| 47 | 20 | int proc_rows = n / world_size; | |
| 48 | 20 | int extra_rows = n % world_size; | |
| 49 | int disp = 0; | ||
| 50 | |||
| 51 |
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60 | for (int proc = 0; proc < world_size; ++proc) { |
| 52 |
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70 | row_counts[proc] = proc_rows + (proc < extra_rows ? 1 : 0); |
| 53 | 40 | row_displs[proc] = disp; | |
| 54 | 40 | disp += row_counts[proc]; | |
| 55 | } | ||
| 56 | } | ||
| 57 | |||
| 58 | 20 | std::vector<double> BuildLocalMatrix(int n, int local_rows, int local_start) { | |
| 59 | 20 | auto size = static_cast<size_t>(n); | |
| 60 | 20 | std::vector<double> local_matrix(static_cast<size_t>(local_rows) * size, 0.0); | |
| 61 | |||
| 62 |
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163 | for (int i = 0; i < local_rows; ++i) { |
| 63 | 143 | int global_row = local_start + i; | |
| 64 |
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143 | local_matrix[(static_cast<size_t>(i) * size) + global_row] = 4.0; |
| 65 | |||
| 66 |
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143 | if (global_row > 0) { |
| 67 | 133 | local_matrix[(static_cast<size_t>(i) * size) + (global_row - 1)] = 1.0; | |
| 68 | } | ||
| 69 |
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143 | if (global_row + 1 < n) { |
| 70 | 133 | local_matrix[(static_cast<size_t>(i) * size) + (global_row + 1)] = 1.0; | |
| 71 | } | ||
| 72 | } | ||
| 73 | |||
| 74 | 20 | return local_matrix; | |
| 75 | } | ||
| 76 | |||
| 77 | 20 | void PerformIterations(int n, int local_rows, int local_start, const std::vector<double> &local_matrix, | |
| 78 | const std::vector<double> &local_vector, const std::vector<int> &row_counts, | ||
| 79 | const std::vector<int> &row_displs, std::vector<double> &x) { | ||
| 80 | 20 | auto size = static_cast<size_t>(n); | |
| 81 | const double tau = 0.2; | ||
| 82 | const double eps = 1e-7; | ||
| 83 | const int iters = 2000; | ||
| 84 | |||
| 85 | 20 | std::vector<double> x_old(size); | |
| 86 |
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20 | std::vector<double> local_x_new(local_rows); |
| 87 | |||
| 88 |
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360 | for (int it = 0; it < iters; ++it) { |
| 89 |
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360 | x_old = x; |
| 90 |
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3311 | for (int i = 0; i < local_rows; ++i) { |
| 91 | double ax_i = 0.0; | ||
| 92 |
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91294 | for (size_t j = 0; j < size; ++j) { |
| 93 | 88343 | ax_i += local_matrix[(static_cast<size_t>(i) * size) + j] * x[j]; | |
| 94 | } | ||
| 95 | |||
| 96 | 2951 | local_x_new[i] = x[local_start + i] - (tau * (ax_i - local_vector[i])); | |
| 97 | } | ||
| 98 | |||
| 99 |
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360 | MPI_Allgatherv(local_x_new.data(), local_rows, MPI_DOUBLE, x.data(), row_counts.data(), row_displs.data(), |
| 100 | MPI_DOUBLE, MPI_COMM_WORLD); | ||
| 101 | |||
| 102 | 360 | double local_max = 0.0; | |
| 103 |
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3311 | for (int i = 0; i < local_rows; ++i) { |
| 104 | 2951 | local_max = std::max(local_max, std::fabs(x[local_start + i] - x_old[local_start + i])); | |
| 105 | } | ||
| 106 | |||
| 107 | 360 | double global_max = 0.0; | |
| 108 |
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360 | MPI_Allreduce(&local_max, &global_max, 1, MPI_DOUBLE, MPI_MAX, MPI_COMM_WORLD); |
| 109 | |||
| 110 |
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360 | if (global_max < eps) { |
| 111 | break; | ||
| 112 | } | ||
| 113 | } | ||
| 114 | 20 | } | |
| 115 | |||
| 116 | } // namespace | ||
| 117 | |||
| 118 | 20 | bool SamoylenkoISimpleIterMethodMPI::RunImpl() { | |
| 119 | 20 | int world_rank = 0; | |
| 120 | 20 | int world_size = 0; | |
| 121 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &world_rank); | |
| 122 | 20 | MPI_Comm_size(MPI_COMM_WORLD, &world_size); | |
| 123 | |||
| 124 | 20 | int n = 0; | |
| 125 |
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20 | if (world_rank == 0) { |
| 126 | 10 | n = GetInput(); | |
| 127 | } | ||
| 128 | |||
| 129 | 20 | MPI_Bcast(&n, 1, MPI_INT, 0, MPI_COMM_WORLD); | |
| 130 | |||
| 131 |
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20 | if (n <= 0) { |
| 132 | return false; | ||
| 133 | } | ||
| 134 | |||
| 135 | 20 | std::vector<int> row_counts(world_size); | |
| 136 |
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20 | std::vector<int> row_displs(world_size); |
| 137 | 20 | CalculateDistribution(n, world_size, row_counts, row_displs); | |
| 138 | |||
| 139 |
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20 | int local_rows = row_counts[world_rank]; |
| 140 | 20 | int local_start = row_displs[world_rank]; | |
| 141 | |||
| 142 |
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20 | std::vector<double> local_matrix = BuildLocalMatrix(n, local_rows, local_start); |
| 143 |
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20 | std::vector<double> local_vector(local_rows, 1.0); |
| 144 |
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20 | std::vector<double> x(static_cast<size_t>(n), 0.0); |
| 145 | |||
| 146 |
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20 | PerformIterations(n, local_rows, local_start, local_matrix, local_vector, row_counts, row_displs, x); |
| 147 | |||
| 148 |
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20 | if (world_rank == 0) { |
| 149 |
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10 | GetOutput() = x; |
| 150 | } | ||
| 151 | |||
| 152 | return true; | ||
| 153 | } | ||
| 154 | |||
| 155 | 20 | bool SamoylenkoISimpleIterMethodMPI::PostProcessingImpl() { | |
| 156 | 20 | int world_rank = 0; | |
| 157 | 20 | MPI_Comm_rank(MPI_COMM_WORLD, &world_rank); | |
| 158 | |||
| 159 |
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20 | if (world_rank == 0) { |
| 160 | 10 | return !GetOutput().empty(); | |
| 161 | } | ||
| 162 | |||
| 163 | return true; | ||
| 164 | } | ||
| 165 | |||
| 166 | } // namespace samoylenko_i_simple_iter_method | ||
| 167 |