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|---|---|---|---|
| 1 | #include "kiselev_i_gauss_method_horizontal_tape_scheme/seq/include/ops_seq.hpp" | ||
| 2 | |||
| 3 | #include <algorithm> | ||
| 4 | #include <cmath> | ||
| 5 | #include <cstddef> | ||
| 6 | #include <tuple> | ||
| 7 | #include <vector> | ||
| 8 | |||
| 9 | #include "kiselev_i_gauss_method_horizontal_tape_scheme/common/include/common.hpp" | ||
| 10 | |||
| 11 | namespace kiselev_i_gauss_method_horizontal_tape_scheme { | ||
| 12 | |||
| 13 |
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112 | KiselevITestTaskSEQ::KiselevITestTaskSEQ(const InType &in) { |
| 14 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 15 | auto &buf = GetInput(); | ||
| 16 | InType tmp(in); | ||
| 17 | buf.swap(tmp); | ||
| 18 | GetOutput().clear(); | ||
| 19 | 112 | } | |
| 20 | |||
| 21 |
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112 | bool KiselevITestTaskSEQ::ValidationImpl() { |
| 22 | const auto &a_vector = std::get<0>(GetInput()); | ||
| 23 | const auto &b_vector = std::get<1>(GetInput()); | ||
| 24 | |||
| 25 |
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112 | return !a_vector.empty() && a_vector.size() == b_vector.size() && GetOutput().empty(); |
| 26 | } | ||
| 27 | |||
| 28 |
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112 | bool KiselevITestTaskSEQ::PreProcessingImpl() { |
| 29 | GetOutput().clear(); | ||
| 30 | 112 | return true; | |
| 31 | } | ||
| 32 | |||
| 33 | namespace { | ||
| 34 | |||
| 35 | 112 | void BackSubstitution(const std::vector<std::vector<double>> &mat, const std::vector<double> &rhs, | |
| 36 | std::vector<double> &result, std::size_t band) { | ||
| 37 | const std::size_t num = mat.size(); | ||
| 38 | |||
| 39 |
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520 | for (std::size_t step = 0; step < num; ++step) { |
| 40 | 408 | const std::size_t index = num - 1 - step; | |
| 41 | 408 | double acc = rhs[index]; | |
| 42 | |||
| 43 | 408 | const std::size_t col_end = std::min(num, index + band + 1); | |
| 44 |
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704 | for (std::size_t j = index + 1; j < col_end; ++j) { |
| 45 | 296 | acc -= mat[index][j] * result[j]; | |
| 46 | } | ||
| 47 | |||
| 48 | 408 | result[index] = acc; | |
| 49 | } | ||
| 50 | 112 | } | |
| 51 | |||
| 52 | } // namespace | ||
| 53 | |||
| 54 | 112 | bool KiselevITestTaskSEQ::RunImpl() { | |
| 55 | 112 | auto mat = std::get<0>(GetInput()); | |
| 56 |
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112 | auto rhs = std::get<1>(GetInput()); |
| 57 |
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112 | const std::size_t band = std::get<2>(GetInput()); |
| 58 | |||
| 59 |
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112 | const std::size_t num = mat.size(); |
| 60 |
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112 | GetOutput().assign(num, 0.0); |
| 61 | |||
| 62 | constexpr double kEps = 1e-12; | ||
| 63 | |||
| 64 |
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520 | for (std::size_t k_index = 0; k_index < num; ++k_index) { |
| 65 | 408 | const double diag = mat[k_index][k_index]; | |
| 66 |
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408 | if (std::fabs(diag) < kEps) { |
| 67 | return false; | ||
| 68 | } | ||
| 69 | |||
| 70 | 408 | const std::size_t col_end = std::min(num, k_index + band + 1); | |
| 71 | |||
| 72 |
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1112 | for (std::size_t j_index = k_index; j_index < col_end; ++j_index) { |
| 73 | 704 | mat[k_index][j_index] /= diag; | |
| 74 | } | ||
| 75 | 408 | rhs[k_index] /= diag; | |
| 76 | |||
| 77 | const std::size_t row_end = std::min(num, k_index + band + 1); | ||
| 78 |
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704 | for (std::size_t index = k_index + 1; index < row_end; ++index) { |
| 79 | 296 | const double factor = mat[index][k_index]; | |
| 80 |
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296 | if (factor == 0.0) { |
| 81 | 24 | continue; | |
| 82 | } | ||
| 83 | |||
| 84 |
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944 | for (std::size_t j_index = k_index; j_index < col_end; ++j_index) { |
| 85 | 672 | mat[index][j_index] -= factor * mat[k_index][j_index]; | |
| 86 | } | ||
| 87 | 272 | rhs[index] -= factor * rhs[k_index]; | |
| 88 | } | ||
| 89 | } | ||
| 90 | |||
| 91 | 112 | BackSubstitution(mat, rhs, GetOutput(), band); | |
| 92 | 112 | return true; | |
| 93 | 112 | } | |
| 94 | |||
| 95 | 112 | bool KiselevITestTaskSEQ::PostProcessingImpl() { | |
| 96 | 112 | return !GetOutput().empty(); | |
| 97 | } | ||
| 98 | |||
| 99 | } // namespace kiselev_i_gauss_method_horizontal_tape_scheme | ||
| 100 |