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|---|---|---|---|
| 1 | #include "perepelkin_i_convex_hull_graham_scan/omp/include/ops_omp.hpp" | ||
| 2 | |||
| 3 | #include <omp.h> | ||
| 4 | |||
| 5 | #include <algorithm> | ||
| 6 | #include <cmath> | ||
| 7 | #include <cstddef> | ||
| 8 | #include <utility> | ||
| 9 | #include <vector> | ||
| 10 | |||
| 11 | #include "perepelkin_i_convex_hull_graham_scan/common/include/common.hpp" | ||
| 12 | #include "util/include/util.hpp" | ||
| 13 | |||
| 14 | namespace perepelkin_i_convex_hull_graham_scan { | ||
| 15 | |||
| 16 |
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48 | PerepelkinIConvexHullGrahamScanOMP::PerepelkinIConvexHullGrahamScanOMP(const InType &in) { |
| 17 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 18 |
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48 | GetInput() = in; |
| 19 | 48 | GetOutput() = std::vector<std::pair<double, double>>(); | |
| 20 | 48 | } | |
| 21 | |||
| 22 | 48 | bool PerepelkinIConvexHullGrahamScanOMP::ValidationImpl() { | |
| 23 | 48 | return GetOutput().empty(); | |
| 24 | } | ||
| 25 | |||
| 26 | 48 | bool PerepelkinIConvexHullGrahamScanOMP::PreProcessingImpl() { | |
| 27 | 48 | return true; | |
| 28 | } | ||
| 29 |
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48 | bool PerepelkinIConvexHullGrahamScanOMP::RunImpl() { |
| 30 | const auto &data = GetInput(); | ||
| 31 | |||
| 32 |
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48 | if (data.size() < 2) { |
| 33 | 8 | GetOutput() = data; | |
| 34 | 8 | return true; | |
| 35 | } | ||
| 36 | |||
| 37 | 40 | std::vector<std::pair<double, double>> pts = data; | |
| 38 | |||
| 39 | // Find pivot | ||
| 40 |
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40 | size_t pivot_idx = FindPivotParallel(pts); |
| 41 | |||
| 42 | std::pair<double, double> pivot = pts[pivot_idx]; | ||
| 43 | pts.erase(pts.begin() + static_cast<std::ptrdiff_t>(pivot_idx)); | ||
| 44 | |||
| 45 | // Parallel sorting | ||
| 46 |
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40 | ParallelSort(pts, pivot); |
| 47 | |||
| 48 | // Sequential hull construction | ||
| 49 |
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40 | std::vector<std::pair<double, double>> hull; |
| 50 |
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40 | hull.reserve(pts.size() + 1); |
| 51 | |||
| 52 | hull.push_back(pivot); | ||
| 53 | hull.push_back(pts[0]); | ||
| 54 | |||
| 55 |
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168 | for (size_t i = 1; i < pts.size(); i++) { |
| 56 |
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336 | while (hull.size() >= 2 && Orientation(hull[hull.size() - 2], hull[hull.size() - 1], pts[i]) <= 0) { |
| 57 | hull.pop_back(); | ||
| 58 | } | ||
| 59 | |||
| 60 | hull.push_back(pts[i]); | ||
| 61 | } | ||
| 62 | |||
| 63 | GetOutput() = std::move(hull); | ||
| 64 | return true; | ||
| 65 | } | ||
| 66 | |||
| 67 | 40 | size_t PerepelkinIConvexHullGrahamScanOMP::FindPivotParallel(const std::vector<std::pair<double, double>> &pts) { | |
| 68 | size_t pivot_idx = 0; | ||
| 69 | |||
| 70 | 40 | #pragma omp parallel default(none) shared(pts, pivot_idx) num_threads(ppc::util::GetNumThreads()) | |
| 71 | { | ||
| 72 | size_t local_idx = pivot_idx; | ||
| 73 | |||
| 74 | #pragma omp for nowait | ||
| 75 | for (size_t i = 1; i < pts.size(); i++) { | ||
| 76 | if (pts[i].second < pts[local_idx].second || | ||
| 77 | (pts[i].second == pts[local_idx].second && pts[i].first < pts[local_idx].first)) { | ||
| 78 | local_idx = i; | ||
| 79 | } | ||
| 80 | } | ||
| 81 | |||
| 82 | #pragma omp critical | ||
| 83 | { | ||
| 84 | if (pts[local_idx].second < pts[pivot_idx].second || | ||
| 85 | (pts[local_idx].second == pts[pivot_idx].second && pts[local_idx].first < pts[pivot_idx].first)) { | ||
| 86 | pivot_idx = local_idx; | ||
| 87 | } | ||
| 88 | } | ||
| 89 | } | ||
| 90 | |||
| 91 | 40 | return pivot_idx; | |
| 92 | } | ||
| 93 | |||
| 94 | 40 | void PerepelkinIConvexHullGrahamScanOMP::ParallelSort(std::vector<std::pair<double, double>> &data, | |
| 95 | const std::pair<double, double> &pivot) { | ||
| 96 | size_t n = data.size(); | ||
| 97 | 40 | int threads = ppc::util::GetNumThreads(); | |
| 98 | |||
| 99 |
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40 | if (n < 10000) { |
| 100 |
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328 | std::ranges::sort(data, [&](const auto &a, const auto &b) { return AngleCmp(a, b, pivot); }); |
| 101 | 40 | return; | |
| 102 | } | ||
| 103 | |||
| 104 | ✗ | std::vector<int> start(threads + 1); | |
| 105 | ✗ | for (int i = 0; i <= threads; i++) { | |
| 106 | ✗ | start[i] = static_cast<int>(i * n / threads); | |
| 107 | } | ||
| 108 | |||
| 109 | ✗ | #pragma omp parallel default(none) shared(data, start, pivot) num_threads(ppc::util::GetNumThreads()) | |
| 110 | { | ||
| 111 | int tid = omp_get_thread_num(); | ||
| 112 | std::sort(data.begin() + start[tid], data.begin() + start[tid + 1], | ||
| 113 | ✗ | [&](const auto &a, const auto &b) { return AngleCmp(a, b, pivot); }); | |
| 114 | } | ||
| 115 | |||
| 116 | // Merge sorted segments | ||
| 117 | ✗ | for (int size = 1; size < threads; size *= 2) { | |
| 118 | ✗ | #pragma omp parallel for default(none) shared(data, start, threads, size, pivot) num_threads(ppc::util::GetNumThreads()) | |
| 119 | for (int i = 0; i < threads; i += 2 * size) { | ||
| 120 | if (i + size >= threads) { | ||
| 121 | continue; | ||
| 122 | } | ||
| 123 | |||
| 124 | int left = start[i]; | ||
| 125 | int mid = start[i + size]; | ||
| 126 | int right = start[std::min(i + (2 * size), threads)]; | ||
| 127 | |||
| 128 | std::inplace_merge(data.begin() + left, data.begin() + mid, data.begin() + right, | ||
| 129 | ✗ | [&](const auto &a, const auto &b) { return AngleCmp(a, b, pivot); }); | |
| 130 | } | ||
| 131 | } | ||
| 132 | } | ||
| 133 | |||
| 134 | ✗ | double PerepelkinIConvexHullGrahamScanOMP::Orientation(const std::pair<double, double> &p, | |
| 135 | const std::pair<double, double> &q, | ||
| 136 | const std::pair<double, double> &r) { | ||
| 137 |
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168 | double val = ((q.first - p.first) * (r.second - p.second)) - ((q.second - p.second) * (r.first - p.first)); |
| 138 | |||
| 139 |
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168 | if (std::abs(val) < 1e-9) { |
| 140 | ✗ | return 0.0; | |
| 141 | } | ||
| 142 | |||
| 143 | return val; | ||
| 144 | } | ||
| 145 | |||
| 146 | 328 | bool PerepelkinIConvexHullGrahamScanOMP::AngleCmp(const std::pair<double, double> &a, | |
| 147 | const std::pair<double, double> &b, | ||
| 148 | const std::pair<double, double> &pivot) { | ||
| 149 | 328 | double dx1 = a.first - pivot.first; | |
| 150 | 328 | double dy1 = a.second - pivot.second; | |
| 151 | 328 | double dx2 = b.first - pivot.first; | |
| 152 | 328 | double dy2 = b.second - pivot.second; | |
| 153 | |||
| 154 |
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328 | double cross = (dx1 * dy2) - (dy1 * dx2); |
| 155 | |||
| 156 |
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328 | if (std::abs(cross) < 1e-9) { |
| 157 | 72 | double dist1 = (dx1 * dx1) + (dy1 * dy1); | |
| 158 | 72 | double dist2 = (dx2 * dx2) + (dy2 * dy2); | |
| 159 | 72 | return dist1 < dist2; | |
| 160 | } | ||
| 161 | |||
| 162 | 256 | return cross > 0; | |
| 163 | } | ||
| 164 | |||
| 165 | 48 | bool PerepelkinIConvexHullGrahamScanOMP::PostProcessingImpl() { | |
| 166 | 48 | return true; | |
| 167 | } | ||
| 168 | |||
| 169 | } // namespace perepelkin_i_convex_hull_graham_scan | ||
| 170 |