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|---|---|---|---|
| 1 | #include "redkina_a_integral_simpson/stl/include/ops_stl.hpp" | ||
| 2 | |||
| 3 | #include <algorithm> | ||
| 4 | #include <cmath> | ||
| 5 | #include <cstddef> | ||
| 6 | #include <functional> | ||
| 7 | #include <future> | ||
| 8 | #include <thread> | ||
| 9 | #include <vector> | ||
| 10 | |||
| 11 | #include "redkina_a_integral_simpson/common/include/common.hpp" | ||
| 12 | |||
| 13 | namespace redkina_a_integral_simpson { | ||
| 14 | namespace { | ||
| 15 | |||
| 16 | 160 | std::vector<std::vector<double>> PrecomputeWeights(const std::vector<int> &n) { | |
| 17 | const size_t dim = n.size(); | ||
| 18 | 160 | std::vector<std::vector<double>> weights(dim); | |
| 19 |
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464 | for (size_t i = 0; i < dim; ++i) { |
| 20 |
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304 | const int ni = n[i]; |
| 21 |
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304 | weights[i].resize(ni + 1); |
| 22 |
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19552 | for (int idx = 0; idx <= ni; ++idx) { |
| 23 |
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19248 | if (idx == 0 || idx == ni) { |
| 24 | 608 | weights[i][idx] = 1.0; | |
| 25 |
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18640 | } else if (idx % 2 == 1) { |
| 26 | 9472 | weights[i][idx] = 4.0; | |
| 27 | } else { | ||
| 28 | 9168 | weights[i][idx] = 2.0; | |
| 29 | } | ||
| 30 | } | ||
| 31 | } | ||
| 32 | 160 | return weights; | |
| 33 | ✗ | } | |
| 34 | |||
| 35 | 160 | std::vector<size_t> ComputeStrides(const std::vector<int> &n) { | |
| 36 | const size_t dim = n.size(); | ||
| 37 | 160 | std::vector<size_t> strides(dim); | |
| 38 |
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160 | if (dim == 0) { |
| 39 | return strides; | ||
| 40 | } | ||
| 41 | 160 | strides[dim - 1] = 1; | |
| 42 |
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304 | for (size_t i = dim - 1; i > 0; --i) { |
| 43 | 144 | strides[i - 1] = strides[i] * static_cast<size_t>(n[i] + 1); | |
| 44 | } | ||
| 45 | return strides; | ||
| 46 | } | ||
| 47 | |||
| 48 | 608 | double ComputeRangeSum(size_t start, size_t end, const std::vector<double> &a, const std::vector<double> &h, | |
| 49 | const std::vector<std::vector<double>> &weights, const std::vector<size_t> &strides, | ||
| 50 | const std::function<double(const std::vector<double> &)> &func, size_t dim) { | ||
| 51 | 608 | std::vector<int> indices(dim); | |
| 52 |
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608 | std::vector<double> point(dim); |
| 53 | double local_sum = 0.0; | ||
| 54 |
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1850880 | for (size_t idx = start; idx < end; ++idx) { |
| 55 | size_t remainder = idx; | ||
| 56 |
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6098128 | for (size_t dim_idx = 0; dim_idx < dim; ++dim_idx) { |
| 57 | 4247856 | indices[dim_idx] = static_cast<int>(remainder / strides[dim_idx]); | |
| 58 | 4247856 | remainder %= strides[dim_idx]; | |
| 59 | } | ||
| 60 | double w_prod = 1.0; | ||
| 61 |
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6098128 | for (size_t dim_idx = 0; dim_idx < dim; ++dim_idx) { |
| 62 | 4247856 | const int i_idx = indices[dim_idx]; | |
| 63 | 4247856 | point[dim_idx] = a[dim_idx] + (static_cast<double>(i_idx) * h[dim_idx]); | |
| 64 | 4247856 | w_prod *= weights[dim_idx][i_idx]; | |
| 65 | } | ||
| 66 | 1850272 | local_sum += w_prod * func(point); | |
| 67 | } | ||
| 68 | 608 | return local_sum; | |
| 69 | } | ||
| 70 | |||
| 71 | // Вспомогательная функция для создания асинхронных задач | ||
| 72 | 160 | void LaunchTasks(std::vector<std::future<double>> &futures, const std::vector<double> &a, const std::vector<double> &h, | |
| 73 | const std::vector<std::vector<double>> &weights, const std::vector<size_t> &strides, | ||
| 74 | const std::function<double(const std::vector<double> &)> &func, size_t dim, size_t total_points) { | ||
| 75 | 160 | unsigned int num_threads = std::thread::hardware_concurrency(); | |
| 76 |
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160 | if (num_threads == 0) { |
| 77 | num_threads = 2; | ||
| 78 | } | ||
| 79 | |||
| 80 | 160 | const size_t block_size = total_points / num_threads; | |
| 81 | 160 | const size_t rem = total_points % num_threads; | |
| 82 | |||
| 83 | size_t start = 0; | ||
| 84 |
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608 | for (unsigned int thread_idx = 0; thread_idx < num_threads; ++thread_idx) { |
| 85 |
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928 | const size_t end = std::min(start + block_size + (thread_idx < rem ? 1 : 0), total_points); |
| 86 |
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608 | if (start >= end) { |
| 87 | break; | ||
| 88 | } | ||
| 89 | |||
| 90 | 608 | futures.push_back(std::async(std::launch::async, [=, &a, &h, &weights, &strides, &func]() { | |
| 91 | 608 | return ComputeRangeSum(start, end, a, h, weights, strides, func, dim); | |
| 92 | })); | ||
| 93 | |||
| 94 | start = end; | ||
| 95 |
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608 | if (start >= total_points) { |
| 96 | break; | ||
| 97 | } | ||
| 98 | } | ||
| 99 | 160 | } | |
| 100 | |||
| 101 | 160 | double ParallelSum(const std::vector<double> &a, const std::vector<double> &h, | |
| 102 | const std::vector<std::vector<double>> &weights, const std::vector<size_t> &strides, | ||
| 103 | size_t total_points, const std::function<double(const std::vector<double> &)> &func, size_t dim) { | ||
| 104 | 160 | std::vector<std::future<double>> futures; | |
| 105 |
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160 | LaunchTasks(futures, a, h, weights, strides, func, dim, total_points); |
| 106 | |||
| 107 | double total = 0.0; | ||
| 108 |
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768 | for (auto &f : futures) { |
| 109 |
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608 | total += f.get(); |
| 110 | } | ||
| 111 | 160 | return total; | |
| 112 | 160 | } | |
| 113 | |||
| 114 | } // namespace | ||
| 115 | |||
| 116 |
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160 | RedkinaAIntegralSimpsonSTL::RedkinaAIntegralSimpsonSTL(const InType &in) { |
| 117 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 118 |
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160 | GetInput() = in; |
| 119 | 160 | } | |
| 120 | |||
| 121 |
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160 | bool RedkinaAIntegralSimpsonSTL::ValidationImpl() { |
| 122 | const auto &in = GetInput(); | ||
| 123 | size_t dim = in.a.size(); | ||
| 124 | |||
| 125 |
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160 | if (dim == 0 || in.b.size() != dim || in.n.size() != dim) { |
| 126 | return false; | ||
| 127 | } | ||
| 128 |
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464 | for (size_t i = 0; i < dim; ++i) { |
| 129 |
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304 | if (in.a[i] >= in.b[i]) { |
| 130 | return false; | ||
| 131 | } | ||
| 132 |
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304 | if (in.n[i] <= 0 || in.n[i] % 2 != 0) { |
| 133 | return false; | ||
| 134 | } | ||
| 135 | } | ||
| 136 | 160 | return static_cast<bool>(in.func); | |
| 137 | } | ||
| 138 | |||
| 139 | 160 | bool RedkinaAIntegralSimpsonSTL::PreProcessingImpl() { | |
| 140 | const auto &in = GetInput(); | ||
| 141 | 160 | func_ = in.func; | |
| 142 | 160 | a_ = in.a; | |
| 143 | 160 | b_ = in.b; | |
| 144 | 160 | n_ = in.n; | |
| 145 | 160 | result_ = 0.0; | |
| 146 | 160 | return true; | |
| 147 | } | ||
| 148 | |||
| 149 |
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160 | bool RedkinaAIntegralSimpsonSTL::RunImpl() { |
| 150 |
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160 | if (!func_) { |
| 151 | return false; | ||
| 152 | } | ||
| 153 | const size_t dim = a_.size(); | ||
| 154 |
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160 | if (dim == 0) { |
| 155 | return false; | ||
| 156 | } | ||
| 157 | |||
| 158 | 160 | std::vector<double> h(dim); | |
| 159 | double h_prod = 1.0; | ||
| 160 |
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464 | for (size_t i = 0; i < dim; ++i) { |
| 161 | 304 | h[i] = (b_[i] - a_[i]) / static_cast<double>(n_[i]); | |
| 162 | 304 | h_prod *= h[i]; | |
| 163 | } | ||
| 164 | |||
| 165 |
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160 | const auto weights = PrecomputeWeights(n_); |
| 166 |
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160 | const auto strides = ComputeStrides(n_); |
| 167 |
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160 | if (strides.empty()) { |
| 168 | return false; | ||
| 169 | } | ||
| 170 | |||
| 171 |
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160 | const size_t total_points = strides[0] * static_cast<size_t>(n_[0] + 1); |
| 172 | |||
| 173 |
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160 | const double sum = ParallelSum(a_, h, weights, strides, total_points, func_, dim); |
| 174 | |||
| 175 | double denominator = 1.0; | ||
| 176 |
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464 | for (size_t i = 0; i < dim; ++i) { |
| 177 | 304 | denominator *= 3.0; | |
| 178 | } | ||
| 179 | |||
| 180 | 160 | result_ = (h_prod / denominator) * sum; | |
| 181 | 160 | return true; | |
| 182 | 160 | } | |
| 183 | |||
| 184 | 160 | bool RedkinaAIntegralSimpsonSTL::PostProcessingImpl() { | |
| 185 | 160 | GetOutput() = result_; | |
| 186 | 160 | return true; | |
| 187 | } | ||
| 188 | |||
| 189 | } // namespace redkina_a_integral_simpson | ||
| 190 |