#include #include namespace mbgl { namespace util { bool polygonContainsPoint(const GeometryCoordinates& ring, const GeometryCoordinate& p) { bool c = false; for (auto i = ring.begin(), j = ring.end() - 1; i != ring.end(); j = i++) { auto& p1 = *i; auto& p2 = *j; if (((p1.y > p.y) != (p2.y > p.y)) && (p.x < float(p2.x - p1.x) * float(p.y - p1.y) / float(p2.y - p1.y) + p1.x)) { c = !c; } } return c; } // Code from http://stackoverflow.com/a/1501725/331379. float distToSegmentSquared(const GeometryCoordinate& p, const GeometryCoordinate& v, const GeometryCoordinate& w) { if (v == w) return util::distSqr(p, v); const auto l2 = util::distSqr(v, w); const float t = float((p.x - v.x) * (w.x - v.x) + (p.y - v.y) * (w.y - v.y)) / l2; if (t < 0) return util::distSqr(p, v); if (t > 1) return util::distSqr(p, w); return util::distSqr(p, convertPoint(w - v) * t + convertPoint(v)); } bool pointIntersectsBufferedLine(const GeometryCoordinate& p, const GeometryCoordinates& line, const float radius) { const float radiusSquared = radius * radius; if (line.size() == 1) return util::distSqr(p, line.at(0)) < radiusSquared; if (line.empty()) return false; for (auto i = line.begin() + 1; i != line.end(); i++) { // Find line segments that have a distance <= radius^2 to p // In that case, we treat the line as "containing point p". auto& v = *(i - 1); auto& w = *i; if (distToSegmentSquared(p, v, w) < radiusSquared) return true; } return false; } // http://bryceboe.com/2006/10/23/line-segment-intersection-algorithm/ bool isCounterClockwise(const GeometryCoordinate& a, const GeometryCoordinate& b, const GeometryCoordinate& c) { return (c.y - a.y) * (b.x - a.x) > (b.y - a.y) * (c.x - a.x); } bool lineSegmentIntersectsLineSegment(const GeometryCoordinate& a0, const GeometryCoordinate& a1, const GeometryCoordinate& b0, const GeometryCoordinate& b1) { return isCounterClockwise(a0, b0, b1) != isCounterClockwise(a1, b0, b1) && isCounterClockwise(a0, a1, b0) != isCounterClockwise(a0, a1, b1); } bool lineIntersectsLine(const GeometryCoordinates& lineA, const GeometryCoordinates& lineB) { if (lineA.empty() || lineB.empty()) return false; for (auto i = lineA.begin(); i != lineA.end() - 1; i++) { auto& a0 = *i; auto& a1 = *(i + 1); for (auto j = lineB.begin(); j != lineB.end() - 1; j++) { auto& b0 = *j; auto& b1 = *(j + 1); if (lineSegmentIntersectsLineSegment(a0, a1, b0, b1)) return true; } } return false; } bool lineIntersectsBufferedLine(const GeometryCoordinates& lineA, const GeometryCoordinates& lineB, float radius) { if (lineA.size() > 1) { if (lineIntersectsLine(lineA, lineB)) return true; // Check whether any point in either line is within radius of the other line for (auto& p : lineB) { if (pointIntersectsBufferedLine(p, lineA, radius)) return true; } } for (auto& p : lineA) { if (pointIntersectsBufferedLine(p, lineB, radius)) return true; } return false; } bool polygonIntersectsBufferedPoint(const GeometryCoordinates& polygon, const GeometryCoordinate& point, float radius) { if (polygonContainsPoint(polygon, point)) return true; if (pointIntersectsBufferedLine(point, polygon, radius)) return true; return false; } bool polygonIntersectsBufferedMultiPoint(const GeometryCoordinates& polygon, const GeometryCollection& rings, float radius) { for (auto& ring : rings) { for (auto& point : ring) { if (polygonIntersectsBufferedPoint(polygon, point, radius)) return true; } } return false; } bool polygonIntersectsBufferedMultiLine(const GeometryCoordinates& polygon, const GeometryCollection& multiLine, float radius) { for (auto& line : multiLine) { if (polygon.size() >= 3) { for (auto& p : line) { if (polygonContainsPoint(polygon, p)) return true; } } if (lineIntersectsBufferedLine(polygon, line, radius)) return true; } return false; } bool polygonIntersectsPolygon(const GeometryCoordinates& polygonA, const GeometryCoordinates& polygonB) { for (auto& p : polygonA) { if (polygonContainsPoint(polygonB, p)) return true; } for (auto& p : polygonB) { if (polygonContainsPoint(polygonA, p)) return true; } return lineIntersectsLine(polygonA, polygonB); } bool polygonIntersectsMultiPolygon(const GeometryCoordinates& polygon, const GeometryCollection& multiPolygon) { for (auto& ring : multiPolygon) { if (polygonIntersectsPolygon(polygon, ring)) return true; } return false; } } // namespace util } // namespace mbgl