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|---|---|---|---|
| 1 | #include "kichanova_k_lin_system_by_conjug_grad/all/include/ops_all.hpp" | ||
| 2 | |||
| 3 | #include <omp.h> | ||
| 4 | #include <tbb/tbb.h> | ||
| 5 | |||
| 6 | #include <cmath> | ||
| 7 | #include <cstddef> | ||
| 8 | #include <vector> | ||
| 9 | |||
| 10 | #include "kichanova_k_lin_system_by_conjug_grad/common/include/common.hpp" | ||
| 11 | |||
| 12 | namespace kichanova_k_lin_system_by_conjug_grad { | ||
| 13 | |||
| 14 | namespace { | ||
| 15 | |||
| 16 | 298 | double ComputeRowProduct(const double *row, const double *v_ptr, int n) { | |
| 17 | double sum = 0.0; | ||
| 18 | int j = 0; | ||
| 19 |
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298 | for (; j <= n - 8; j += 8) { |
| 20 | ✗ | sum += row[j] * v_ptr[j]; | |
| 21 | ✗ | sum += row[j + 1] * v_ptr[j + 1]; | |
| 22 | ✗ | sum += row[j + 2] * v_ptr[j + 2]; | |
| 23 | ✗ | sum += row[j + 3] * v_ptr[j + 3]; | |
| 24 | ✗ | sum += row[j + 4] * v_ptr[j + 4]; | |
| 25 | ✗ | sum += row[j + 5] * v_ptr[j + 5]; | |
| 26 | ✗ | sum += row[j + 6] * v_ptr[j + 6]; | |
| 27 | ✗ | sum += row[j + 7] * v_ptr[j + 7]; | |
| 28 | } | ||
| 29 |
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1940 | for (; j < n; ++j) { |
| 30 | 1642 | sum += row[j] * v_ptr[j]; | |
| 31 | } | ||
| 32 | 298 | return sum; | |
| 33 | } | ||
| 34 | |||
| 35 | 138 | double DotProductHybrid(const std::vector<double> &a, const std::vector<double> &b, int n) { | |
| 36 |
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138 | if (n <= 0) { |
| 37 | return 0.0; | ||
| 38 | } | ||
| 39 | |||
| 40 | double result = 0.0; | ||
| 41 | 138 | int num_threads = omp_get_max_threads(); | |
| 42 | |||
| 43 | 138 | #pragma omp parallel for reduction(+ : result) schedule(static) default(none) shared(a, b, n, num_threads) | |
| 44 | for (int block = 0; block < num_threads; ++block) { | ||
| 45 | int start = block * (n / num_threads); | ||
| 46 | int end = (block == num_threads - 1) ? n : (block + 1) * (n / num_threads); | ||
| 47 | if (start >= end) { | ||
| 48 | continue; | ||
| 49 | } | ||
| 50 | |||
| 51 | double local_sum = tbb::parallel_reduce(tbb::blocked_range<int>(start, end, 256), 0.0, | ||
| 52 | [&](const tbb::blocked_range<int> &range, double sum) { | ||
| 53 |
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946 | for (int i = range.begin(); i < range.end(); ++i) { |
| 54 | 670 | sum += a[i] * b[i]; | |
| 55 | } | ||
| 56 | return sum; | ||
| 57 | ✗ | }, [](double x, double y) { return x + y; }); | |
| 58 | result += local_sum; | ||
| 59 | } | ||
| 60 | 138 | return result; | |
| 61 | } | ||
| 62 | |||
| 63 | 60 | void MatrixVectorProductHybrid(const std::vector<double> &a, const std::vector<double> &v, std::vector<double> &result, | |
| 64 | int n) { | ||
| 65 |
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60 | if (n <= 0) { |
| 66 | ✗ | return; | |
| 67 | } | ||
| 68 | |||
| 69 | 60 | const auto stride = static_cast<size_t>(n); | |
| 70 | 60 | const double *v_ptr = v.data(); | |
| 71 | 60 | int num_threads = omp_get_max_threads(); | |
| 72 | |||
| 73 | 60 | #pragma omp parallel for schedule(dynamic, 1) default(none) shared(a, result, n, stride, v_ptr, num_threads) | |
| 74 | for (int block = 0; block < num_threads; ++block) { | ||
| 75 | int start = block * (n / num_threads); | ||
| 76 | int end = (block == num_threads - 1) ? n : (block + 1) * (n / num_threads); | ||
| 77 | if (start >= end) { | ||
| 78 | continue; | ||
| 79 | } | ||
| 80 | |||
| 81 | 120 | tbb::parallel_for(tbb::blocked_range<int>(start, end, 32), [&](const tbb::blocked_range<int> &range) { | |
| 82 |
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418 | for (int i = range.begin(); i < range.end(); ++i) { |
| 83 | 298 | const double *row = &a[i * stride]; | |
| 84 | 298 | result[i] = ComputeRowProduct(row, v_ptr, n); | |
| 85 | } | ||
| 86 | 120 | }); | |
| 87 | } | ||
| 88 | } | ||
| 89 | |||
| 90 | 60 | void UpdateSolutionAndResidualHybrid(std::vector<double> &x, std::vector<double> &r, const std::vector<double> &p, | |
| 91 | const std::vector<double> &ap, double alpha, int n) { | ||
| 92 |
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60 | if (n <= 0) { |
| 93 | return; | ||
| 94 | } | ||
| 95 | |||
| 96 | 60 | int num_threads = omp_get_max_threads(); | |
| 97 | |||
| 98 | 60 | #pragma omp parallel for schedule(static) default(none) shared(x, r, p, ap, alpha, n, num_threads) | |
| 99 | for (int block = 0; block < num_threads; ++block) { | ||
| 100 | int start = block * (n / num_threads); | ||
| 101 | int end = (block == num_threads - 1) ? n : (block + 1) * (n / num_threads); | ||
| 102 | if (start >= end) { | ||
| 103 | continue; | ||
| 104 | } | ||
| 105 | |||
| 106 | 120 | tbb::parallel_for(tbb::blocked_range<int>(start, end, 512), [&](const tbb::blocked_range<int> &range) { | |
| 107 |
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418 | for (int i = range.begin(); i < range.end(); ++i) { |
| 108 | 298 | x[i] += alpha * p[i]; | |
| 109 | 298 | r[i] -= alpha * ap[i]; | |
| 110 | } | ||
| 111 | 120 | }); | |
| 112 | } | ||
| 113 | } | ||
| 114 | |||
| 115 | 42 | void UpdateDirectionHybrid(std::vector<double> &p, const std::vector<double> &r, double beta, int n) { | |
| 116 |
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42 | if (n <= 0) { |
| 117 | return; | ||
| 118 | } | ||
| 119 | |||
| 120 | 42 | int num_threads = omp_get_max_threads(); | |
| 121 | |||
| 122 | 42 | #pragma omp parallel for schedule(static) default(none) shared(p, r, beta, n, num_threads) | |
| 123 | for (int block = 0; block < num_threads; ++block) { | ||
| 124 | int start = block * (n / num_threads); | ||
| 125 | int end = (block == num_threads - 1) ? n : (block + 1) * (n / num_threads); | ||
| 126 | if (start >= end) { | ||
| 127 | continue; | ||
| 128 | } | ||
| 129 | |||
| 130 | tbb::parallel_for(tbb::blocked_range<int>(start, end, 512), [&](const tbb::blocked_range<int> &range) { | ||
| 131 |
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308 | for (int i = range.begin(); i < range.end(); ++i) { |
| 132 | 224 | p[i] = r[i] + (beta * p[i]); | |
| 133 | } | ||
| 134 | }); | ||
| 135 | } | ||
| 136 | } | ||
| 137 | |||
| 138 | 18 | void InitializeVectorsHybrid(std::vector<double> &r, std::vector<double> &p, const std::vector<double> &b, int n) { | |
| 139 | 18 | int num_threads = omp_get_max_threads(); | |
| 140 | |||
| 141 | 18 | #pragma omp parallel for schedule(static) default(none) shared(r, p, b, n, num_threads) | |
| 142 | for (int block = 0; block < num_threads; ++block) { | ||
| 143 | int start = block * (n / num_threads); | ||
| 144 | int end = (block == num_threads - 1) ? n : (block + 1) * (n / num_threads); | ||
| 145 | if (start >= end) { | ||
| 146 | continue; | ||
| 147 | } | ||
| 148 | |||
| 149 | tbb::parallel_for(tbb::blocked_range<int>(start, end, 1024), [&](const tbb::blocked_range<int> &range) { | ||
| 150 |
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110 | for (int i = range.begin(); i < range.end(); ++i) { |
| 151 | 74 | r[i] = b[i]; | |
| 152 | 74 | p[i] = r[i]; | |
| 153 | } | ||
| 154 | }); | ||
| 155 | } | ||
| 156 | 18 | } | |
| 157 | |||
| 158 | } // namespace | ||
| 159 | |||
| 160 |
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18 | KichanovaKLinSystemByConjugGradALL::KichanovaKLinSystemByConjugGradALL(const InType &in) { |
| 161 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 162 |
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18 | GetInput() = in; |
| 163 | 18 | GetOutput() = OutType(); | |
| 164 | 18 | } | |
| 165 | |||
| 166 | 18 | bool KichanovaKLinSystemByConjugGradALL::ValidationImpl() { | |
| 167 | const InType &input_data = GetInput(); | ||
| 168 |
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18 | if (input_data.n <= 0) { |
| 169 | return false; | ||
| 170 | } | ||
| 171 |
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18 | if (input_data.A.size() != static_cast<size_t>(input_data.n) * static_cast<size_t>(input_data.n)) { |
| 172 | return false; | ||
| 173 | } | ||
| 174 |
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18 | if (input_data.b.size() != static_cast<size_t>(input_data.n)) { |
| 175 | ✗ | return false; | |
| 176 | } | ||
| 177 | return true; | ||
| 178 | } | ||
| 179 | |||
| 180 | 18 | bool KichanovaKLinSystemByConjugGradALL::PreProcessingImpl() { | |
| 181 | 18 | GetOutput().assign(GetInput().n, 0.0); | |
| 182 | 18 | return true; | |
| 183 | } | ||
| 184 | |||
| 185 |
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18 | bool KichanovaKLinSystemByConjugGradALL::RunImpl() { |
| 186 | const InType &input_data = GetInput(); | ||
| 187 | OutType &x = GetOutput(); | ||
| 188 | |||
| 189 | 18 | const int n = input_data.n; | |
| 190 |
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18 | if (n == 0) { |
| 191 | return false; | ||
| 192 | } | ||
| 193 | |||
| 194 | 18 | const std::vector<double> &a = input_data.A; | |
| 195 | 18 | const std::vector<double> &b = input_data.b; | |
| 196 | 18 | const double epsilon = input_data.epsilon; | |
| 197 | |||
| 198 | 18 | std::vector<double> r(n); | |
| 199 |
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18 | std::vector<double> p(n); |
| 200 |
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18 | std::vector<double> ap(n); |
| 201 | |||
| 202 | 18 | InitializeVectorsHybrid(r, p, b, n); | |
| 203 | |||
| 204 | 18 | double rr_old = DotProductHybrid(r, r, n); | |
| 205 | 18 | double residual_norm = std::sqrt(rr_old); | |
| 206 | |||
| 207 |
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18 | if (residual_norm < epsilon) { |
| 208 | return true; | ||
| 209 | } | ||
| 210 | |||
| 211 | 18 | const int max_iter = n * 1000; | |
| 212 | |||
| 213 |
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60 | for (int iter = 0; iter < max_iter; ++iter) { |
| 214 | 60 | MatrixVectorProductHybrid(a, p, ap, n); | |
| 215 | |||
| 216 | 60 | const double p_ap = DotProductHybrid(p, ap, n); | |
| 217 |
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60 | if (std::abs(p_ap) < 1e-30) { |
| 218 | break; | ||
| 219 | } | ||
| 220 | |||
| 221 | 60 | const double alpha = rr_old / p_ap; | |
| 222 | 60 | UpdateSolutionAndResidualHybrid(x, r, p, ap, alpha, n); | |
| 223 | |||
| 224 | 60 | const double rr_new = DotProductHybrid(r, r, n); | |
| 225 | 60 | residual_norm = std::sqrt(rr_new); | |
| 226 | |||
| 227 |
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60 | if (residual_norm < epsilon) { |
| 228 | break; | ||
| 229 | } | ||
| 230 | |||
| 231 | 42 | const double beta = rr_new / rr_old; | |
| 232 | 42 | UpdateDirectionHybrid(p, r, beta, n); | |
| 233 | |||
| 234 | rr_old = rr_new; | ||
| 235 | } | ||
| 236 | |||
| 237 | return true; | ||
| 238 | } | ||
| 239 | |||
| 240 | 18 | bool KichanovaKLinSystemByConjugGradALL::PostProcessingImpl() { | |
| 241 | 18 | return true; | |
| 242 | } | ||
| 243 | |||
| 244 | } // namespace kichanova_k_lin_system_by_conjug_grad | ||
| 245 |