#pragma once #ifdef DELAUNATOR_HEADER_ONLY #define INLINE inline #else #define INLINE #endif #include #include #include namespace delaunator { constexpr std::size_t INVALID_INDEX = (std::numeric_limits::max)(); class Point { public: Point(double x, double y) : m_x(x), m_y(y) {} Point() : m_x(0), m_y(0) {} double x() const { return m_x; } double y() const { return m_y; } double magnitude2() const { return m_x * m_x + m_y * m_y; } static double determinant(const Point& p1, const Point& p2) { return p1.m_x * p2.m_y - p1.m_y * p2.m_x; } static Point vector(const Point& p1, const Point& p2) { return Point(p2.m_x - p1.m_x, p2.m_y - p1.m_y); } static double dist2(const Point& p1, const Point& p2) { Point vec = vector(p1, p2); return vec.m_x * vec.m_x + vec.m_y * vec.m_y; } static bool equal(const Point& p1, const Point& p2, double span) { double dist = dist2(p1, p2) / span; // ABELL - This number should be examined to figure how how // it correlates with the breakdown of calculating determinants. return dist < 1e-20; } private: double m_x; double m_y; }; inline std::ostream& operator<<(std::ostream& out, const Point& p) { out << p.x() << "/" << p.y(); return out; } class Points { public: using const_iterator = Point const *; Points(const std::vector& coords) : m_coords(coords) {} const Point& operator[](size_t offset) { return reinterpret_cast( *(m_coords.data() + (offset * 2))); }; Points::const_iterator begin() const { return reinterpret_cast(m_coords.data()); } Points::const_iterator end() const { return reinterpret_cast( m_coords.data() + m_coords.size()); } size_t size() const { return m_coords.size() / 2; } private: const std::vector& m_coords; }; class Delaunator { public: std::vector const& coords; Points m_points; // 'triangles' stores the indices to the 'X's of the input // 'coords'. std::vector triangles; // 'halfedges' store indices into 'triangles'. If halfedges[X] = Y, // It says that there's an edge from X to Y where a) X and Y are // both indices into triangles and b) X and Y are indices into different // triangles in the array. This allows you to get from a triangle to // its adjacent triangle. If the a triangle edge has no adjacent triangle, // its half edge will be INVALID_INDEX. std::vector halfedges; std::vector hull_prev; std::vector hull_next; // This contains indexes into the triangles array. std::vector hull_tri; std::size_t hull_start; INLINE Delaunator(std::vector const& in_coords); INLINE double get_hull_area(); INLINE double get_triangle_area(); private: std::vector m_hash; Point m_center; std::size_t m_hash_size; std::vector m_edge_stack; INLINE std::size_t legalize(std::size_t a); INLINE std::size_t hash_key(double x, double y) const; INLINE std::size_t add_triangle( std::size_t i0, std::size_t i1, std::size_t i2, std::size_t a, std::size_t b, std::size_t c); INLINE void link(std::size_t a, std::size_t b); }; } //namespace delaunator #undef INLINE