| 1 | #pragma once |
| 2 | |
| 3 | #include <kdbush.hpp> |
| 4 | #include <mapbox/geometry/feature.hpp> |
| 5 | #include <mapbox/geometry/point_arithmetic.hpp> |
| 6 | |
| 7 | #include <algorithm> |
| 8 | #include <cmath> |
| 9 | #include <cstdint> |
| 10 | #include <vector> |
| 11 | |
| 12 | #ifdef DEBUG_TIMER |
| 13 | #include <chrono> |
| 14 | #include <iostream> |
| 15 | #endif |
| 16 | |
| 17 | namespace mapbox { |
| 18 | namespace supercluster { |
| 19 | |
| 20 | using namespace mapbox::geometry; |
| 21 | |
| 22 | struct Cluster { |
| 23 | point<double> pos; |
| 24 | std::uint32_t num_points; |
| 25 | std::uint32_t id = 0; |
| 26 | bool visited = false; |
| 27 | |
| 28 | Cluster(point<double> pos_, |
| 29 | std::uint32_t num_points_, |
| 30 | std::uint32_t id_ = 0, |
| 31 | bool visited_ = false) |
| 32 | : pos(std::move(pos_)), |
| 33 | num_points(num_points_), |
| 34 | id(id_), |
| 35 | visited(visited_) {} |
| 36 | }; |
| 37 | |
| 38 | } // namespace supercluster |
| 39 | } // namespace mapbox |
| 40 | |
| 41 | namespace kdbush { |
| 42 | |
| 43 | using Cluster = mapbox::supercluster::Cluster; |
| 44 | |
| 45 | template <> |
| 46 | struct nth<0, Cluster> { |
| 47 | inline static double get(const Cluster &c) { |
| 48 | return c.pos.x; |
| 49 | }; |
| 50 | }; |
| 51 | template <> |
| 52 | struct nth<1, Cluster> { |
| 53 | inline static double get(const Cluster &c) { |
| 54 | return c.pos.y; |
| 55 | }; |
| 56 | }; |
| 57 | |
| 58 | } // namespace kdbush |
| 59 | |
| 60 | namespace mapbox { |
| 61 | namespace supercluster { |
| 62 | |
| 63 | #ifdef DEBUG_TIMER |
| 64 | class Timer { |
| 65 | public: |
| 66 | std::chrono::high_resolution_clock::time_point started; |
| 67 | Timer() { |
| 68 | started = std::chrono::high_resolution_clock::now(); |
| 69 | } |
| 70 | void operator()(std::string msg) { |
| 71 | const auto now = std::chrono::high_resolution_clock::now(); |
| 72 | const auto ms = std::chrono::duration_cast<std::chrono::microseconds>(now - started); |
| 73 | std::cerr << msg << ": " << double(ms.count()) / 1000 << "ms\n" ; |
| 74 | started = now; |
| 75 | } |
| 76 | }; |
| 77 | #endif |
| 78 | |
| 79 | struct Options { |
| 80 | std::uint8_t minZoom = 0; // min zoom to generate clusters on |
| 81 | std::uint8_t maxZoom = 16; // max zoom level to cluster the points on |
| 82 | std::uint16_t radius = 40; // cluster radius in pixels |
| 83 | std::uint16_t extent = 512; // tile extent (radius is calculated relative to it) |
| 84 | }; |
| 85 | |
| 86 | class Supercluster { |
| 87 | using GeoJSONPoint = point<double>; |
| 88 | using GeoJSONFeatures = feature_collection<double>; |
| 89 | |
| 90 | using TilePoint = point<std::int16_t>; |
| 91 | using TileFeature = feature<std::int16_t>; |
| 92 | using TileFeatures = feature_collection<std::int16_t>; |
| 93 | |
| 94 | public: |
| 95 | const GeoJSONFeatures features; |
| 96 | const Options options; |
| 97 | |
| 98 | Supercluster(const GeoJSONFeatures &features_, const Options options_ = Options()) |
| 99 | : features(features_), options(options_) { |
| 100 | |
| 101 | #ifdef DEBUG_TIMER |
| 102 | Timer timer; |
| 103 | #endif |
| 104 | // convert and index initial points |
| 105 | zooms.emplace(args: options.maxZoom + 1, args: features); |
| 106 | #ifdef DEBUG_TIMER |
| 107 | timer(std::to_string(features.size()) + " initial points" ); |
| 108 | #endif |
| 109 | for (int z = options.maxZoom; z >= options.minZoom; z--) { |
| 110 | // cluster points from the previous zoom level |
| 111 | const double r = options.radius / (options.extent * std::pow(x: 2, y: z)); |
| 112 | zooms.emplace(args&: z, args: Zoom(zooms[z + 1], r)); |
| 113 | #ifdef DEBUG_TIMER |
| 114 | timer(std::to_string(zooms[z].clusters.size()) + " clusters" ); |
| 115 | #endif |
| 116 | } |
| 117 | } |
| 118 | |
| 119 | TileFeatures getTile(std::uint8_t z, std::uint32_t x_, std::uint32_t y) { |
| 120 | TileFeatures result; |
| 121 | auto &zoom = zooms[limitZoom(z)]; |
| 122 | |
| 123 | std::uint32_t z2 = std::pow(x: 2, y: z); |
| 124 | double const r = static_cast<double>(options.radius) / options.extent; |
| 125 | std::int32_t x = static_cast<std::int32_t>(x_); |
| 126 | |
| 127 | auto visitor = [&, this](const auto &id) { |
| 128 | auto const &c = zoom.clusters[id]; |
| 129 | |
| 130 | TilePoint point(::round(x: this->options.extent * (c.pos.x * z2 - x)), |
| 131 | ::round(x: this->options.extent * (c.pos.y * z2 - y))); |
| 132 | TileFeature feature{ point }; |
| 133 | |
| 134 | if (c.num_points == 1) { |
| 135 | feature.properties = this->features[c.id].properties; |
| 136 | } else { |
| 137 | feature.properties["cluster" ] = true; |
| 138 | feature.properties["point_count" ] = static_cast<std::uint64_t>(c.num_points); |
| 139 | } |
| 140 | |
| 141 | result.push_back(x: feature); |
| 142 | }; |
| 143 | |
| 144 | double const top = (y - r) / z2; |
| 145 | double const bottom = (y + 1 + r) / z2; |
| 146 | |
| 147 | zoom.tree.range(minX: (x - r) / z2, minY: top, maxX: (x + 1 + r) / z2, maxY: bottom, visitor); |
| 148 | |
| 149 | if (x_ == 0) { |
| 150 | x = z2; |
| 151 | zoom.tree.range(minX: 1 - r / z2, minY: top, maxX: 1, maxY: bottom, visitor); |
| 152 | } |
| 153 | if (x_ == z2 - 1) { |
| 154 | x = -1; |
| 155 | zoom.tree.range(minX: 0, minY: top, maxX: r / z2, maxY: bottom, visitor); |
| 156 | } |
| 157 | |
| 158 | return result; |
| 159 | } |
| 160 | |
| 161 | private: |
| 162 | struct Zoom { |
| 163 | kdbush::KDBush<Cluster, std::uint32_t> tree; |
| 164 | std::vector<Cluster> clusters; |
| 165 | |
| 166 | Zoom() = default; |
| 167 | |
| 168 | Zoom(const GeoJSONFeatures &features_) { |
| 169 | // generate a cluster object for each point |
| 170 | std::uint32_t i = 0; |
| 171 | |
| 172 | for (const auto &f : features_) { |
| 173 | clusters.push_back(x: { project(p: f.geometry.get<GeoJSONPoint>()), 1, i++ }); |
| 174 | } |
| 175 | |
| 176 | tree.fill(points_: clusters); |
| 177 | } |
| 178 | |
| 179 | Zoom(Zoom &previous, double r) { |
| 180 | for (auto &p : previous.clusters) { |
| 181 | if (p.visited) |
| 182 | continue; |
| 183 | p.visited = true; |
| 184 | |
| 185 | auto num_points = p.num_points; |
| 186 | point<double> weight = p.pos * double(num_points); |
| 187 | |
| 188 | // find all nearby points |
| 189 | previous.tree.within(qx: p.pos.x, qy: p.pos.y, r, visitor: [&](const auto &id) { |
| 190 | auto &b = previous.clusters[id]; |
| 191 | |
| 192 | // filter out neighbors that are already processed |
| 193 | if (b.visited) |
| 194 | return; |
| 195 | b.visited = true; |
| 196 | |
| 197 | // accumulate coordinates for calculating weighted center |
| 198 | weight += b.pos * double(b.num_points); |
| 199 | num_points += b.num_points; |
| 200 | }); |
| 201 | |
| 202 | clusters.push_back(x: { weight / double(num_points), num_points, p.id }); |
| 203 | } |
| 204 | |
| 205 | tree.fill(points_: clusters); |
| 206 | } |
| 207 | }; |
| 208 | |
| 209 | std::unordered_map<std::uint8_t, Zoom> zooms; |
| 210 | |
| 211 | std::uint8_t limitZoom(std::uint8_t z) { |
| 212 | if (z < options.minZoom) |
| 213 | return options.minZoom; |
| 214 | if (z > options.maxZoom + 1) |
| 215 | return options.maxZoom + 1; |
| 216 | return z; |
| 217 | } |
| 218 | |
| 219 | static point<double> project(const GeoJSONPoint &p) { |
| 220 | auto lngX = p.x / 360 + 0.5; |
| 221 | const double sine = std::sin(x: p.y * M_PI / 180); |
| 222 | const double y = 0.5 - 0.25 * std::log(x: (1 + sine) / (1 - sine)) / M_PI; |
| 223 | auto latY = std::min(a: std::max(a: y, b: 0.0), b: 1.0); |
| 224 | return { lngX, latY }; |
| 225 | } |
| 226 | }; |
| 227 | |
| 228 | } // namespace supercluster |
| 229 | } // namespace mapbox |
| 230 | |