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|---|---|---|---|
| 1 | #include "vinyaikina_e_multidimensional_integrals_simpson_method/all/include/ops_all.hpp" | ||
| 2 | |||
| 3 | #include <mpi.h> | ||
| 4 | #include <omp.h> | ||
| 5 | |||
| 6 | #include <cmath> | ||
| 7 | #include <cstdlib> | ||
| 8 | #include <cstring> | ||
| 9 | #include <functional> | ||
| 10 | #include <stack> | ||
| 11 | #include <utility> | ||
| 12 | #include <vector> | ||
| 13 | |||
| 14 | #include "util/include/util.hpp" | ||
| 15 | #include "vinyaikina_e_multidimensional_integrals_simpson_method/common/include/common.hpp" | ||
| 16 | |||
| 17 | namespace vinyaikina_e_multidimensional_integrals_simpson_method { | ||
| 18 | namespace { | ||
| 19 | |||
| 20 | 96 | double CustomRound(double value, double h) { | |
| 21 | 96 | h *= 2; | |
| 22 | 96 | int tmp = static_cast<int>(1 / h); | |
| 23 | int decimal_places = 0; | ||
| 24 |
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264 | while (tmp > 0 && tmp % 10 == 0) { |
| 25 | 168 | decimal_places++; | |
| 26 | 168 | tmp /= 10; | |
| 27 | } | ||
| 28 | |||
| 29 | double factor = std::pow(10.0, decimal_places); | ||
| 30 | 96 | return std::round(value * factor) / factor; | |
| 31 | } | ||
| 32 | |||
| 33 | double Weight(int i, int steps_count) { | ||
| 34 | double weight = 2.0; | ||
| 35 |
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6911 | if (i == 0 || i == steps_count) { |
| 36 | weight = 1.0; | ||
| 37 |
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368492 | } else if (i % 2 != 0) { |
| 38 | weight = 4.0; | ||
| 39 | } | ||
| 40 | return weight; | ||
| 41 | } | ||
| 42 | |||
| 43 | 64 | double OuntNtIntegral(double left_border, double right_border, double simpson_factor, | |
| 44 | const std::vector<std::pair<double, double>> &limits, const std::vector<double> &actual_step, | ||
| 45 | const std::function<double(const std::vector<double> &)> &function) { | ||
| 46 | std::stack<std::pair<std::vector<double>, double>> stack; | ||
| 47 | double res = 0.0; | ||
| 48 | |||
| 49 | 64 | int steps_count_0 = static_cast<int>(lround((right_border - left_border) / actual_step[0])); | |
| 50 | |||
| 51 |
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6975 | for (int i0 = 0; i0 <= steps_count_0; ++i0) { |
| 52 |
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6911 | double x0 = left_border + (i0 * actual_step[0]); |
| 53 | |||
| 54 | 6911 | double weight_0 = Weight(i0, steps_count_0); | |
| 55 |
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6911 | stack.emplace(std::vector<double>{x0}, weight_0); |
| 56 | |||
| 57 |
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388342 | while (!stack.empty()) { |
| 58 |
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381431 | std::vector<double> point = stack.top().first; |
| 59 | 381431 | double weight = stack.top().second; | |
| 60 | stack.pop(); | ||
| 61 | |||
| 62 |
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381431 | if (point.size() == limits.size()) { |
| 63 |
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375023 | res += function(point) * weight * simpson_factor; |
| 64 | continue; | ||
| 65 | } | ||
| 66 | |||
| 67 | size_t dim = point.size(); | ||
| 68 | 6408 | double step = actual_step[dim]; | |
| 69 | |||
| 70 | 6408 | int steps_count = static_cast<int>(lround((limits[dim].second - limits[dim].first) / step)); | |
| 71 | |||
| 72 |
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380928 | for (int i = 0; i <= steps_count; ++i) { |
| 73 |
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374520 | double x = limits[dim].first + (i * step); |
| 74 | |||
| 75 | double dim_weight = Weight(i, steps_count); | ||
| 76 | |||
| 77 | point.push_back(x); | ||
| 78 |
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374520 | stack.emplace(point, weight * dim_weight); |
| 79 | point.pop_back(); | ||
| 80 | } | ||
| 81 | } | ||
| 82 | } | ||
| 83 | |||
| 84 | 64 | return res; | |
| 85 | } | ||
| 86 | }; // namespace | ||
| 87 | |||
| 88 |
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32 | VinyaikinaEMultidimIntegrSimpsonALL::VinyaikinaEMultidimIntegrSimpsonALL(const InType &in) { |
| 89 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 90 | GetInput() = in; | ||
| 91 | 32 | } | |
| 92 | |||
| 93 | 32 | bool VinyaikinaEMultidimIntegrSimpsonALL::PreProcessingImpl() { | |
| 94 | 32 | return true; | |
| 95 | } | ||
| 96 | |||
| 97 |
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32 | bool VinyaikinaEMultidimIntegrSimpsonALL::ValidationImpl() { |
| 98 | const auto &[h, limits, function] = GetInput(); | ||
| 99 |
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32 | return !limits.empty() && function && h <= 0.01; |
| 100 | } | ||
| 101 | |||
| 102 | 32 | bool VinyaikinaEMultidimIntegrSimpsonALL::RunImpl() { | |
| 103 | const auto &input = GetInput(); | ||
| 104 | 32 | double h = std::get<0>(input); | |
| 105 | const auto &limits = std::get<1>(input); | ||
| 106 | const auto &function = std::get<2>(input); | ||
| 107 | |||
| 108 | 32 | const int num_threads = ppc::util::GetNumThreads(); | |
| 109 | |||
| 110 | 32 | std::vector<double> actual_step(limits.size()); | |
| 111 | double simpson_factor = 1.0; | ||
| 112 | |||
| 113 |
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88 | for (size_t i = 0; i < limits.size(); i++) { |
| 114 | 56 | int quan_steps = static_cast<int>(lround((limits[i].second - limits[i].first) / h)); | |
| 115 |
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56 | if (quan_steps % 2 != 0) { |
| 116 | 8 | quan_steps++; | |
| 117 | } | ||
| 118 | 56 | actual_step[i] = (limits[i].second - limits[i].first) / quan_steps; | |
| 119 | 56 | simpson_factor *= actual_step[i] / 3.0; | |
| 120 | } | ||
| 121 | |||
| 122 | 32 | int mpi_rank = 0; | |
| 123 | 32 | int mpi_size = 0; | |
| 124 |
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32 | MPI_Comm_rank(MPI_COMM_WORLD, &mpi_rank); |
| 125 |
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32 | MPI_Comm_size(MPI_COMM_WORLD, &mpi_size); |
| 126 | |||
| 127 | 32 | double delta_mpi = (limits[0].second - limits[0].first) / mpi_size; | |
| 128 | |||
| 129 | double proc_left = limits[0].first; | ||
| 130 | double proc_right = limits[0].second; | ||
| 131 | |||
| 132 |
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32 | if (mpi_rank != 0) { |
| 133 | 16 | proc_left = CustomRound(limits[0].first + (delta_mpi * mpi_rank), actual_step[0]); | |
| 134 | } | ||
| 135 |
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32 | if (mpi_rank != mpi_size - 1) { |
| 136 | 16 | proc_right = CustomRound(limits[0].second - (delta_mpi * (mpi_size - mpi_rank - 1)), actual_step[0]); | |
| 137 | } | ||
| 138 | |||
| 139 | 32 | double res = 0.0; | |
| 140 | 32 | double delta_omp = (proc_right - proc_left) / num_threads; | |
| 141 | |||
| 142 | 32 | #pragma omp parallel num_threads(num_threads) default(none) \ | |
| 143 | shared(proc_left, proc_right, limits, simpson_factor, actual_step, delta_omp, function, num_threads) \ | ||
| 144 | reduction(+ : res) | ||
| 145 | { | ||
| 146 | double left_border = proc_left; | ||
| 147 | double right_border = proc_right; | ||
| 148 | int tid = omp_get_thread_num(); | ||
| 149 | |||
| 150 | if (tid != 0) { | ||
| 151 | left_border = CustomRound(proc_left + (delta_omp * tid), actual_step[0]); | ||
| 152 | } | ||
| 153 | if (tid != num_threads - 1) { | ||
| 154 | right_border = CustomRound(proc_right - (delta_omp * (num_threads - tid - 1)), actual_step[0]); | ||
| 155 | } | ||
| 156 | |||
| 157 | res += OuntNtIntegral(left_border, right_border, simpson_factor, limits, actual_step, function); | ||
| 158 | } | ||
| 159 | |||
| 160 | 32 | double global_res = 0.0; | |
| 161 |
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32 | MPI_Reduce(&res, &global_res, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); |
| 162 |
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32 | MPI_Bcast(&global_res, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD); |
| 163 | |||
| 164 |
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32 | I_res_ = global_res; |
| 165 | |||
| 166 | 32 | return true; | |
| 167 | } | ||
| 168 | |||
| 169 | 32 | bool VinyaikinaEMultidimIntegrSimpsonALL::PostProcessingImpl() { | |
| 170 | 32 | GetOutput() = I_res_; | |
| 171 | 32 | return true; | |
| 172 | } | ||
| 173 | } // namespace vinyaikina_e_multidimensional_integrals_simpson_method | ||
| 174 |