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|---|---|---|---|
| 1 | #include "dergachev_a_graham_scan/omp/include/ops_omp.hpp" | ||
| 2 | |||
| 3 | #include <omp.h> | ||
| 4 | |||
| 5 | #include <algorithm> | ||
| 6 | #include <cmath> | ||
| 7 | #include <utility> | ||
| 8 | #include <vector> | ||
| 9 | |||
| 10 | #include "dergachev_a_graham_scan/common/include/common.hpp" | ||
| 11 | |||
| 12 | namespace dergachev_a_graham_scan { | ||
| 13 | |||
| 14 | namespace { | ||
| 15 | |||
| 16 | using Pt = std::pair<double, double>; | ||
| 17 | |||
| 18 | double CrossProduct(const Pt &o, const Pt &a, const Pt &b) { | ||
| 19 | 77592 | return ((a.first - o.first) * (b.second - o.second)) - ((a.second - o.second) * (b.first - o.first)); | |
| 20 | } | ||
| 21 | |||
| 22 | double DistSquared(const Pt &a, const Pt &b) { | ||
| 23 | ✗ | double dx = a.first - b.first; | |
| 24 | ✗ | double dy = a.second - b.second; | |
| 25 | ✗ | return (dx * dx) + (dy * dy); | |
| 26 | } | ||
| 27 | |||
| 28 | const double kPi = std::acos(-1.0); | ||
| 29 | |||
| 30 | bool IsLowerLeft(const Pt &a, const Pt &b) { | ||
| 31 | return a.second < b.second || (a.second == b.second && a.first < b.first); | ||
| 32 | } | ||
| 33 | |||
| 34 | 44 | int FindPivotIndex(const std::vector<Pt> &pts) { | |
| 35 | 44 | int size = static_cast<int>(pts.size()); | |
| 36 | int pivot_idx = 0; | ||
| 37 | 44 | #pragma omp parallel default(none) shared(pts, size, pivot_idx) | |
| 38 | { | ||
| 39 | int local_idx = 0; | ||
| 40 | #pragma omp for nowait | ||
| 41 | for (int i = 1; i < size; i++) { | ||
| 42 | if (IsLowerLeft(pts[i], pts[local_idx])) { | ||
| 43 | local_idx = i; | ||
| 44 | } | ||
| 45 | } | ||
| 46 | #pragma omp critical | ||
| 47 | { | ||
| 48 | if (IsLowerLeft(pts[local_idx], pts[pivot_idx])) { | ||
| 49 | pivot_idx = local_idx; | ||
| 50 | } | ||
| 51 | } | ||
| 52 | } | ||
| 53 | 44 | return pivot_idx; | |
| 54 | } | ||
| 55 | |||
| 56 | 44 | void SortByAngle(std::vector<Pt> &pts) { | |
| 57 | Pt pivot = pts[0]; | ||
| 58 | 72844 | std::sort(pts.begin() + 1, pts.end(), [&pivot](const Pt &a, const Pt &b) { | |
| 59 | 72800 | double cross = CrossProduct(pivot, a, b); | |
| 60 |
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72800 | if (cross > 0.0) { |
| 61 | return true; | ||
| 62 | } | ||
| 63 |
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18860 | if (cross < 0.0) { |
| 64 | return false; | ||
| 65 | } | ||
| 66 | ✗ | return DistSquared(pivot, a) < DistSquared(pivot, b); | |
| 67 | }); | ||
| 68 | 44 | } | |
| 69 | |||
| 70 | } // namespace | ||
| 71 | |||
| 72 | 52 | DergachevAGrahamScanOMP::DergachevAGrahamScanOMP(const InType &in) { | |
| 73 | SetTypeOfTask(GetStaticTypeOfTask()); | ||
| 74 | 52 | GetInput() = in; | |
| 75 | GetOutput() = 0; | ||
| 76 | 52 | } | |
| 77 | |||
| 78 | 52 | bool DergachevAGrahamScanOMP::ValidationImpl() { | |
| 79 | 52 | return GetInput() >= 0; | |
| 80 | } | ||
| 81 | |||
| 82 |
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52 | bool DergachevAGrahamScanOMP::PreProcessingImpl() { |
| 83 | hull_.clear(); | ||
| 84 | 52 | int n = GetInput(); | |
| 85 |
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52 | if (n <= 0) { |
| 86 | points_.clear(); | ||
| 87 | 4 | return true; | |
| 88 | } | ||
| 89 | 48 | points_.resize(n); | |
| 90 |
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48 | double step = (2.0 * kPi) / n; |
| 91 | auto *pts_data = points_.data(); | ||
| 92 | 48 | #pragma omp parallel for default(none) shared(pts_data, step, n) | |
| 93 | for (int i = 0; i < n; i++) { | ||
| 94 | pts_data[i] = {std::cos(step * i), std::sin(step * i)}; | ||
| 95 | } | ||
| 96 |
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48 | if (n > 3) { |
| 97 | 36 | points_.emplace_back(0.0, 0.0); | |
| 98 | } | ||
| 99 | return true; | ||
| 100 | } | ||
| 101 | |||
| 102 |
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52 | bool DergachevAGrahamScanOMP::RunImpl() { |
| 103 | hull_.clear(); | ||
| 104 |
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52 | std::vector<Pt> pts(points_.begin(), points_.end()); |
| 105 | 52 | int n = static_cast<int>(pts.size()); | |
| 106 | |||
| 107 |
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52 | if (n <= 1 || std::all_of(pts.begin() + 1, pts.end(), |
| 108 |
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44 | [&](const Pt &pt) { return pt.first == pts[0].first && pt.second == pts[0].second; })) { |
| 109 |
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8 | if (!pts.empty()) { |
| 110 |
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4 | hull_.push_back(pts[0]); |
| 111 | } | ||
| 112 | 8 | return true; | |
| 113 | } | ||
| 114 | |||
| 115 | 44 | int pivot_idx = FindPivotIndex(pts); | |
| 116 | 44 | std::swap(pts[0], pts[pivot_idx]); | |
| 117 | 44 | SortByAngle(pts); | |
| 118 | |||
| 119 |
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4888 | for (const auto &p : pts) { |
| 120 |
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4880 | while (hull_.size() > 1 && CrossProduct(hull_[hull_.size() - 2], hull_.back(), p) <= 0.0) { |
| 121 | hull_.pop_back(); | ||
| 122 | } | ||
| 123 |
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4844 | hull_.push_back(p); |
| 124 | } | ||
| 125 | |||
| 126 | return true; | ||
| 127 | } | ||
| 128 | |||
| 129 | 52 | bool DergachevAGrahamScanOMP::PostProcessingImpl() { | |
| 130 | 52 | GetOutput() = static_cast<int>(hull_.size()); | |
| 131 | 52 | return true; | |
| 132 | } | ||
| 133 | |||
| 134 | } // namespace dergachev_a_graham_scan | ||
| 135 |