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|---|---|---|---|
| 1 | #include "kosolapov_v_gauss_method_tape_hor_scheme/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <algorithm> | ||
| 4 | #include <cmath> | ||
| 5 | #include <cstddef> | ||
| 6 | #include <vector> | ||
| 7 | |||
| 8 | #include "kosolapov_v_gauss_method_tape_hor_scheme/common/include/common.hpp" | ||
| 9 | |||
| 10 | namespace kosolapov_v_gauss_method_tape_hor_scheme { | ||
| 11 | |||
| 12 |
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72 | KosolapovVGaussMethodTapeHorSchemeSEQ::KosolapovVGaussMethodTapeHorSchemeSEQ(const InType &in) { |
| 13 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 14 |
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72 | GetInput() = InType(in); |
| 15 | GetOutput() = {}; | ||
| 16 | 72 | } | |
| 17 | |||
| 18 |
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72 | bool KosolapovVGaussMethodTapeHorSchemeSEQ::ValidationImpl() { |
| 19 | const auto &input = GetInput(); | ||
| 20 |
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72 | if (input.matrix.empty()) { |
| 21 | return false; | ||
| 22 | } | ||
| 23 | 72 | int n = static_cast<int>(input.matrix.size()); | |
| 24 |
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72 | if (input.matrix.size() != static_cast<size_t>(n)) { |
| 25 | return false; | ||
| 26 | } | ||
| 27 |
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392 | for (const auto &row : input.matrix) { |
| 28 |
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320 | if (row.size() != static_cast<size_t>(n)) { |
| 29 | return false; | ||
| 30 | } | ||
| 31 | } | ||
| 32 | 72 | return input.r_side.size() == static_cast<size_t>(n); | |
| 33 | } | ||
| 34 | |||
| 35 | 72 | bool KosolapovVGaussMethodTapeHorSchemeSEQ::PreProcessingImpl() { | |
| 36 | const auto &input = GetInput(); | ||
| 37 | 72 | int n = static_cast<int>(input.matrix.size()); | |
| 38 | 72 | GetOutput() = std::vector<double>(n, 0.0); | |
| 39 | 72 | return true; | |
| 40 | } | ||
| 41 | |||
| 42 | 72 | bool KosolapovVGaussMethodTapeHorSchemeSEQ::RunImpl() { | |
| 43 | const auto &input = GetInput(); | ||
| 44 | 72 | int n = static_cast<int>(input.matrix.size()); | |
| 45 | |||
| 46 | 72 | std::vector<std::vector<double>> a = input.matrix; | |
| 47 |
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72 | std::vector<double> b = input.r_side; |
| 48 |
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72 | std::vector<int> col_order(n); |
| 49 |
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392 | for (int i = 0; i < n; i++) { |
| 50 | 320 | col_order[i] = i; | |
| 51 | } | ||
| 52 | 72 | ForwardElimination(a, b, col_order, n); | |
| 53 |
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72 | std::vector<double> result = BackwardSubstitution(a, b, col_order, n); |
| 54 |
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72 | GetOutput() = result; |
| 55 | 72 | return true; | |
| 56 | 72 | } | |
| 57 | |||
| 58 | 72 | bool KosolapovVGaussMethodTapeHorSchemeSEQ::PostProcessingImpl() { | |
| 59 | 72 | return true; | |
| 60 | } | ||
| 61 | |||
| 62 | 72 | void KosolapovVGaussMethodTapeHorSchemeSEQ::ForwardElimination(std::vector<std::vector<double>> &a, | |
| 63 | std::vector<double> &b, std::vector<int> &col_order, | ||
| 64 | int n) { | ||
| 65 |
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392 | for (int i = 0; i < n; i++) { |
| 66 | int leading_col = i; | ||
| 67 | 320 | double max_elem = std::abs(a[i][i]); | |
| 68 | SelectPivot(i, n, a, max_elem, leading_col); | ||
| 69 | 320 | SwapRows(leading_col, n, i, a, col_order); | |
| 70 | 320 | double cur_el = a[i][i]; | |
| 71 |
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1272 | for (int j = i; j < n; j++) { |
| 72 | 952 | a[i][j] /= cur_el; | |
| 73 | } | ||
| 74 | 320 | b[i] /= cur_el; | |
| 75 | 320 | RowSub(i, n, a, b); | |
| 76 | } | ||
| 77 | 72 | } | |
| 78 | 72 | std::vector<double> KosolapovVGaussMethodTapeHorSchemeSEQ::BackwardSubstitution(std::vector<std::vector<double>> &a, | |
| 79 | std::vector<double> &b, | ||
| 80 | std::vector<int> &col_order, int n) { | ||
| 81 | 72 | std::vector<double> output(n); | |
| 82 |
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392 | for (int i = n - 1; i >= 0; --i) { |
| 83 | 320 | output[col_order[i]] = b[i]; | |
| 84 |
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952 | for (int j = i + 1; j < n; ++j) { |
| 85 | 632 | output[col_order[i]] -= a[i][j] * output[col_order[j]]; | |
| 86 | } | ||
| 87 | } | ||
| 88 | 72 | return output; | |
| 89 | } | ||
| 90 | ✗ | void KosolapovVGaussMethodTapeHorSchemeSEQ::SelectPivot(int i, int n, const std::vector<std::vector<double>> &a, | |
| 91 | double &max_elem, int &leading_col) { | ||
| 92 |
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952 | for (int j = i + 1; j < n; j++) { |
| 93 |
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632 | if (std::abs(a[i][j]) > max_elem) { |
| 94 | ✗ | max_elem = std::abs(a[i][j]); | |
| 95 | ✗ | leading_col = j; | |
| 96 | } | ||
| 97 | } | ||
| 98 | ✗ | } | |
| 99 | 320 | void KosolapovVGaussMethodTapeHorSchemeSEQ::SwapRows(int leading_col, int n, int i, std::vector<std::vector<double>> &a, | |
| 100 | std::vector<int> &col_order) { | ||
| 101 |
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320 | if (leading_col != i) { |
| 102 |
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232 | for (int k = 0; k < n; k++) { |
| 103 | 184 | std::swap(a[k][i], a[k][leading_col]); | |
| 104 | } | ||
| 105 | 48 | std::swap(col_order[i], col_order[leading_col]); | |
| 106 | } | ||
| 107 | 320 | } | |
| 108 | 320 | void KosolapovVGaussMethodTapeHorSchemeSEQ::RowSub(int i, int n, std::vector<std::vector<double>> &a, | |
| 109 | std::vector<double> &b) { | ||
| 110 |
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952 | for (int k = i + 1; k < n; k++) { |
| 111 | 632 | double ratio = a[k][i]; | |
| 112 |
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3416 | for (int j = i; j < n; j++) { |
| 113 | 2784 | a[k][j] -= ratio * a[i][j]; | |
| 114 | } | ||
| 115 | 632 | b[k] -= ratio * b[i]; | |
| 116 | } | ||
| 117 | 320 | } | |
| 118 | } // namespace kosolapov_v_gauss_method_tape_hor_scheme | ||
| 119 |