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|---|---|---|---|
| 1 | #include "samoylenko_i_conj_grad_method/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <cmath> | ||
| 4 | #include <cstddef> | ||
| 5 | #include <vector> | ||
| 6 | |||
| 7 | #include "samoylenko_i_conj_grad_method/common/include/common.hpp" | ||
| 8 | |||
| 9 | namespace samoylenko_i_conj_grad_method { | ||
| 10 | |||
| 11 | 96 | SamoylenkoIConjGradMethodSEQ::SamoylenkoIConjGradMethodSEQ(const InType &in) { | |
| 12 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 13 | GetInput() = in; | ||
| 14 | GetOutput().clear(); | ||
| 15 | 96 | } | |
| 16 | |||
| 17 | 96 | bool SamoylenkoIConjGradMethodSEQ::ValidationImpl() { | |
| 18 |
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96 | return (GetInput().first > 0) && (GetInput().second >= 0 && GetInput().second <= 2) && GetOutput().empty(); |
| 19 | } | ||
| 20 | |||
| 21 |
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96 | bool SamoylenkoIConjGradMethodSEQ::PreProcessingImpl() { |
| 22 | GetOutput().clear(); | ||
| 23 | 96 | return true; | |
| 24 | } | ||
| 25 | |||
| 26 | namespace { | ||
| 27 | |||
| 28 | 96 | std::vector<double> BuildMatrix(size_t size, int variant) { | |
| 29 | 96 | std::vector<double> matrix(size * size, 0.0); | |
| 30 | |||
| 31 |
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1632 | for (size_t i = 0; i < size; ++i) { |
| 32 |
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1536 | switch (variant) { |
| 33 | 512 | case 0: { | |
| 34 |
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512 | matrix[(i * size) + i] = 4.0; |
| 35 |
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512 | if (i > 0) { |
| 36 | 480 | matrix[(i * size) + (i - 1)] = 1.0; | |
| 37 | } | ||
| 38 |
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512 | if (i + 1 < size) { |
| 39 | 480 | matrix[(i * size) + (i + 1)] = 1.0; | |
| 40 | } | ||
| 41 | break; | ||
| 42 | } | ||
| 43 | |||
| 44 | 512 | case 1: { | |
| 45 | 512 | matrix[(i * size) + i] = 5.0; | |
| 46 | 512 | break; | |
| 47 | } | ||
| 48 | |||
| 49 | 512 | case 2: { | |
| 50 |
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512 | matrix[(i * size) + i] = 3.0; |
| 51 | 512 | size_t j = size - 1 - i; | |
| 52 |
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512 | if (i != j) { |
| 53 | 496 | matrix[(i * size) + j] = -1.0; | |
| 54 | 496 | matrix[(j * size) + i] = -1.0; | |
| 55 | } | ||
| 56 | break; | ||
| 57 | } | ||
| 58 | |||
| 59 | default: | ||
| 60 | break; | ||
| 61 | } | ||
| 62 | } | ||
| 63 | 96 | return matrix; | |
| 64 | } | ||
| 65 | |||
| 66 | 336 | void MatrixVectorMult(size_t size, const std::vector<double> &matrix, const std::vector<double> &vec, | |
| 67 | std::vector<double> &result) { | ||
| 68 |
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8576 | for (size_t i = 0; i < size; ++i) { |
| 69 | double sum = 0.0; | ||
| 70 |
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376864 | for (size_t j = 0; j < size; ++j) { |
| 71 | 368624 | sum += matrix[(i * size) + j] * vec[j]; | |
| 72 | } | ||
| 73 | |||
| 74 | 8240 | result[i] = sum; | |
| 75 | } | ||
| 76 | 336 | } | |
| 77 | |||
| 78 | double DotProduct(const std::vector<double> &first, const std::vector<double> &second) { | ||
| 79 | double sum = 0.0; | ||
| 80 |
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15520 | for (size_t i = 0; i < first.size(); ++i) { |
| 81 | 14944 | sum += first[i] * second[i]; | |
| 82 | } | ||
| 83 | |||
| 84 | return sum; | ||
| 85 | } | ||
| 86 | |||
| 87 | 96 | void ConjugateGradient(size_t size, const std::vector<double> &matrix, const std::vector<double> &vector, | |
| 88 | std::vector<double> &x) { | ||
| 89 | const double eps = 1e-7; | ||
| 90 | const int iters = 2000; | ||
| 91 | |||
| 92 | 96 | std::vector<double> res(size); | |
| 93 |
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96 | std::vector<double> dir(size); |
| 94 |
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96 | std::vector<double> matdir(size); |
| 95 | |||
| 96 | 96 | MatrixVectorMult(size, matrix, x, res); | |
| 97 |
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1632 | for (size_t i = 0; i < size; ++i) { |
| 98 | 1536 | res[i] = vector[i] - res[i]; | |
| 99 | 1536 | dir[i] = res[i]; | |
| 100 | } | ||
| 101 | |||
| 102 | double res_dot = DotProduct(res, res); | ||
| 103 | |||
| 104 |
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336 | for (int it = 0; it < iters; ++it) { |
| 105 |
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336 | if (std::sqrt(res_dot) < eps) { |
| 106 | break; | ||
| 107 | } | ||
| 108 | |||
| 109 | 240 | MatrixVectorMult(size, matrix, dir, matdir); | |
| 110 | |||
| 111 | double matdir_dot = DotProduct(dir, matdir); | ||
| 112 |
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240 | if (std::fabs(matdir_dot) < 1e-15) { |
| 113 | break; // so we dont divide by 0 | ||
| 114 | } | ||
| 115 | |||
| 116 | 240 | double step = res_dot / matdir_dot; | |
| 117 | |||
| 118 |
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6944 | for (size_t i = 0; i < size; ++i) { |
| 119 | 6704 | x[i] += step * dir[i]; | |
| 120 | 6704 | res[i] -= step * matdir[i]; | |
| 121 | } | ||
| 122 | |||
| 123 | double res_dot_new = DotProduct(res, res); | ||
| 124 | 240 | double conj_coef = res_dot_new / res_dot; | |
| 125 | |||
| 126 |
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6944 | for (size_t i = 0; i < size; ++i) { |
| 127 | 6704 | dir[i] = res[i] + (conj_coef * dir[i]); | |
| 128 | } | ||
| 129 | |||
| 130 | res_dot = res_dot_new; | ||
| 131 | } | ||
| 132 | 96 | } | |
| 133 | |||
| 134 | } // namespace | ||
| 135 | |||
| 136 | 96 | bool SamoylenkoIConjGradMethodSEQ::RunImpl() { | |
| 137 | 96 | const int n = GetInput().first; | |
| 138 | 96 | const int variant = GetInput().second; | |
| 139 |
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96 | if (n <= 0) { |
| 140 | return false; | ||
| 141 | } | ||
| 142 | |||
| 143 | 96 | auto size = static_cast<size_t>(n); | |
| 144 | |||
| 145 | 96 | std::vector<double> matrix = BuildMatrix(size, variant); | |
| 146 |
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96 | std::vector<double> vector(size, 1.0); |
| 147 | |||
| 148 |
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96 | std::vector<double> x(size, 0.0); |
| 149 | |||
| 150 |
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96 | ConjugateGradient(size, matrix, vector, x); |
| 151 | |||
| 152 |
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96 | GetOutput() = x; |
| 153 | return true; | ||
| 154 | } | ||
| 155 | |||
| 156 | 96 | bool SamoylenkoIConjGradMethodSEQ::PostProcessingImpl() { | |
| 157 | 96 | return !GetOutput().empty(); | |
| 158 | } | ||
| 159 | |||
| 160 | } // namespace samoylenko_i_conj_grad_method | ||
| 161 |