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|---|---|---|---|
| 1 | #include "smyshlaev_a_sle_cg_seq/omp/include/ops_omp.hpp" | ||
| 2 | |||
| 3 | #include <cmath> | ||
| 4 | #include <cstddef> | ||
| 5 | #include <vector> | ||
| 6 | |||
| 7 | #include "smyshlaev_a_sle_cg_seq/common/include/common.hpp" | ||
| 8 | #include "util/include/util.hpp" | ||
| 9 | |||
| 10 | namespace smyshlaev_a_sle_cg_seq { | ||
| 11 | |||
| 12 | namespace { | ||
| 13 | |||
| 14 | ✗ | double ComputeDotProduct(const std::vector<double> &v1, const std::vector<double> &v2, int num_threads) { | |
| 15 | double result = 0.0; | ||
| 16 | ✗ | int n = static_cast<int>(v1.size()); | |
| 17 | ✗ | #pragma omp parallel for default(none) shared(n, v1, v2) num_threads(num_threads) reduction(+ : result) | |
| 18 | for (int i = 0; i < n; ++i) { | ||
| 19 | result += v1[i] * v2[i]; | ||
| 20 | } | ||
| 21 | ✗ | return result; | |
| 22 | } | ||
| 23 | void ComputeAp(const std::vector<double> &matrix, const std::vector<double> &p, std::vector<double> &ap, int n, | ||
| 24 | int num_threads) { | ||
| 25 | ✗ | #pragma omp parallel for default(none) shared(n, matrix, p, ap) num_threads(num_threads) | |
| 26 | for (int i = 0; i < n; ++i) { | ||
| 27 | double sum = 0.0; | ||
| 28 | for (int j = 0; j < n; ++j) { | ||
| 29 | sum += matrix[(i * n) + j] * p[j]; | ||
| 30 | } | ||
| 31 | ap[i] = sum; | ||
| 32 | } | ||
| 33 | } | ||
| 34 | ✗ | double UpdateResultAndResidual(std::vector<double> &result, std::vector<double> &r, const std::vector<double> &p, | |
| 35 | const std::vector<double> &ap, double alpha, int num_threads) { | ||
| 36 | double rs_new = 0.0; | ||
| 37 | ✗ | int n = static_cast<int>(result.size()); | |
| 38 | ✗ | #pragma omp parallel for default(none) shared(n, result, r, p, ap, alpha) num_threads(num_threads) reduction(+ : rs_new) | |
| 39 | for (int i = 0; i < n; ++i) { | ||
| 40 | result[i] += alpha * p[i]; | ||
| 41 | r[i] -= alpha * ap[i]; | ||
| 42 | rs_new += r[i] * r[i]; | ||
| 43 | } | ||
| 44 | ✗ | return rs_new; | |
| 45 | } | ||
| 46 | |||
| 47 | void UpdateP(std::vector<double> &p, const std::vector<double> &r, double beta, int num_threads) { | ||
| 48 | ✗ | int n = static_cast<int>(p.size()); | |
| 49 | ✗ | #pragma omp parallel for default(none) shared(n, p, r, beta) num_threads(num_threads) | |
| 50 | for (int i = 0; i < n; ++i) { | ||
| 51 | p[i] = r[i] + (beta * p[i]); | ||
| 52 | } | ||
| 53 | } | ||
| 54 | |||
| 55 | double ComputeDotProduct(const std::vector<double> &v1, const std::vector<double> &v2) { | ||
| 56 | double result = 0.0; | ||
| 57 | 96 | int n = static_cast<int>(v1.size()); | |
| 58 |
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348 | for (int i = 0; i < n; ++i) { |
| 59 | 252 | result += v1[i] * v2[i]; | |
| 60 | } | ||
| 61 | return result; | ||
| 62 | } | ||
| 63 | 96 | void ComputeAp(const std::vector<double> &matrix, const std::vector<double> &p, std::vector<double> &ap, int n) { | |
| 64 |
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348 | for (int i = 0; i < n; ++i) { |
| 65 | double sum = 0.0; | ||
| 66 |
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960 | for (int j = 0; j < n; ++j) { |
| 67 | 708 | sum += matrix[(i * n) + j] * p[j]; | |
| 68 | } | ||
| 69 | 252 | ap[i] = sum; | |
| 70 | } | ||
| 71 | 96 | } | |
| 72 | 96 | double UpdateResultAndResidual(std::vector<double> &result, std::vector<double> &r, const std::vector<double> &p, | |
| 73 | const std::vector<double> &ap, double alpha) { | ||
| 74 | double rs_new = 0.0; | ||
| 75 | 96 | int n = static_cast<int>(result.size()); | |
| 76 |
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348 | for (int i = 0; i < n; ++i) { |
| 77 | 252 | result[i] += alpha * p[i]; | |
| 78 | 252 | r[i] -= alpha * ap[i]; | |
| 79 | 252 | rs_new += r[i] * r[i]; | |
| 80 | } | ||
| 81 | 96 | return rs_new; | |
| 82 | } | ||
| 83 | |||
| 84 | void UpdateP(std::vector<double> &p, const std::vector<double> &r, double beta) { | ||
| 85 | int n = static_cast<int>(p.size()); | ||
| 86 |
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168 | for (int i = 0; i < n; ++i) { |
| 87 | 120 | p[i] = r[i] + (beta * p[i]); | |
| 88 | } | ||
| 89 | } | ||
| 90 | |||
| 91 | } // namespace | ||
| 92 | |||
| 93 |
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48 | SmyshlaevASleCgTaskOMP::SmyshlaevASleCgTaskOMP(const InType &in) { |
| 94 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 95 | GetInput() = in; | ||
| 96 | 48 | } | |
| 97 | |||
| 98 |
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48 | bool SmyshlaevASleCgTaskOMP::ValidationImpl() { |
| 99 | const auto &a = GetInput().A; | ||
| 100 | const auto &b = GetInput().b; | ||
| 101 |
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48 | if (a.empty() || b.empty()) { |
| 102 | return false; | ||
| 103 | } | ||
| 104 |
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48 | if (a.size() != b.size()) { |
| 105 | return false; | ||
| 106 | } | ||
| 107 |
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48 | if (a.size() != a[0].size()) { |
| 108 | ✗ | return false; | |
| 109 | } | ||
| 110 | return true; | ||
| 111 | } | ||
| 112 | |||
| 113 | 48 | bool SmyshlaevASleCgTaskOMP::PreProcessingImpl() { | |
| 114 | const auto &a = GetInput().A; | ||
| 115 | size_t n = a.size(); | ||
| 116 | 48 | flat_A_.resize(n * n); | |
| 117 |
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180 | for (size_t i = 0; i < n; ++i) { |
| 118 |
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528 | for (size_t j = 0; j < n; ++j) { |
| 119 | 396 | flat_A_[(i * n) + j] = a[i][j]; | |
| 120 | } | ||
| 121 | } | ||
| 122 | 48 | return true; | |
| 123 | } | ||
| 124 | |||
| 125 | 48 | bool SmyshlaevASleCgTaskOMP::RunSequential() { | |
| 126 | 48 | const auto &b = GetInput().b; | |
| 127 | 48 | int n = static_cast<int>(b.size()); | |
| 128 | 48 | std::vector<double> r = b; | |
| 129 |
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48 | std::vector<double> p = r; |
| 130 |
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48 | std::vector<double> ap(n, 0.0); |
| 131 |
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48 | std::vector<double> result(n, 0.0); |
| 132 | |||
| 133 | double rs_old = 0.0; | ||
| 134 |
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180 | for (int i = 0; i < n; ++i) { |
| 135 | 132 | rs_old += r[i] * r[i]; | |
| 136 | } | ||
| 137 | |||
| 138 | const double epsilon = 1e-9; | ||
| 139 |
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48 | if (std::sqrt(rs_old) < epsilon) { |
| 140 | ✗ | GetOutput() = result; | |
| 141 | return true; | ||
| 142 | } | ||
| 143 | |||
| 144 | 48 | const int max_iterations = n * 2; | |
| 145 |
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96 | for (int iter = 0; iter < max_iterations; ++iter) { |
| 146 | 96 | ComputeAp(flat_A_, p, ap, n); | |
| 147 | double p_ap = ComputeDotProduct(p, ap); | ||
| 148 |
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96 | if (std::abs(p_ap) < 1e-15) { |
| 149 | break; | ||
| 150 | } | ||
| 151 | |||
| 152 | 96 | double alpha = rs_old / p_ap; | |
| 153 | 96 | double rs_new = UpdateResultAndResidual(result, r, p, ap, alpha); | |
| 154 |
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96 | if (std::sqrt(rs_new) < epsilon) { |
| 155 | break; | ||
| 156 | } | ||
| 157 | |||
| 158 | 48 | double beta = rs_new / rs_old; | |
| 159 | UpdateP(p, r, beta); | ||
| 160 | rs_old = rs_new; | ||
| 161 | } | ||
| 162 | |||
| 163 |
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48 | GetOutput() = result; |
| 164 | return true; | ||
| 165 | } | ||
| 166 | |||
| 167 | ✗ | bool SmyshlaevASleCgTaskOMP::RunParallel(int num_threads) { | |
| 168 | ✗ | const auto &b = GetInput().b; | |
| 169 | ✗ | int n = static_cast<int>(b.size()); | |
| 170 | ✗ | std::vector<double> r = b; | |
| 171 | ✗ | std::vector<double> p = r; | |
| 172 | ✗ | std::vector<double> ap(n, 0.0); | |
| 173 | ✗ | std::vector<double> result(n, 0.0); | |
| 174 | |||
| 175 | double rs_old = 0.0; | ||
| 176 | |||
| 177 | ✗ | #pragma omp parallel for default(none) shared(n, r) num_threads(num_threads) reduction(+ : rs_old) | |
| 178 | for (int i = 0; i < n; ++i) { | ||
| 179 | rs_old += r[i] * r[i]; | ||
| 180 | } | ||
| 181 | |||
| 182 | const double epsilon = 1e-9; | ||
| 183 | ✗ | if (std::sqrt(rs_old) < epsilon) { | |
| 184 | ✗ | GetOutput() = result; | |
| 185 | return true; | ||
| 186 | } | ||
| 187 | |||
| 188 | ✗ | const int max_iterations = n * 2; | |
| 189 | ✗ | for (int iter = 0; iter < max_iterations; ++iter) { | |
| 190 | ✗ | ComputeAp(flat_A_, p, ap, n, num_threads); | |
| 191 | ✗ | double p_ap = ComputeDotProduct(p, ap, num_threads); | |
| 192 | ✗ | if (std::abs(p_ap) < 1e-15) { | |
| 193 | break; | ||
| 194 | } | ||
| 195 | |||
| 196 | ✗ | double alpha = rs_old / p_ap; | |
| 197 | ✗ | double rs_new = UpdateResultAndResidual(result, r, p, ap, alpha, num_threads); | |
| 198 | ✗ | if (std::sqrt(rs_new) < epsilon) { | |
| 199 | break; | ||
| 200 | } | ||
| 201 | |||
| 202 | ✗ | double beta = rs_new / rs_old; | |
| 203 | UpdateP(p, r, beta, num_threads); | ||
| 204 | rs_old = rs_new; | ||
| 205 | } | ||
| 206 | |||
| 207 | ✗ | GetOutput() = result; | |
| 208 | return true; | ||
| 209 | } | ||
| 210 | |||
| 211 |
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48 | bool SmyshlaevASleCgTaskOMP::RunImpl() { |
| 212 | const auto &b = GetInput().b; | ||
| 213 |
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48 | if (b.empty()) { |
| 214 | return true; | ||
| 215 | } | ||
| 216 | 48 | int n = static_cast<int>(b.size()); | |
| 217 | |||
| 218 | 48 | int num_threads = ppc::util::GetNumThreads(); | |
| 219 |
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48 | if (n < num_threads * 100) { |
| 220 | num_threads = 1; | ||
| 221 | } | ||
| 222 | ✗ | if (num_threads == 1) { | |
| 223 | 48 | return RunSequential(); | |
| 224 | } | ||
| 225 | |||
| 226 | ✗ | return RunParallel(num_threads); | |
| 227 | } | ||
| 228 | |||
| 229 | 48 | bool SmyshlaevASleCgTaskOMP::PostProcessingImpl() { | |
| 230 | 48 | return true; | |
| 231 | } | ||
| 232 | |||
| 233 | } // namespace smyshlaev_a_sle_cg_seq | ||
| 234 |