#pragma once #include #include #include #include namespace J3ML::Geometry { using namespace J3ML::LinearAlgebra; // Represents a three-dimensional closed geometric solid defined by flat polygonal faces. class Polyhedron : public Shape { public: // Stores a list of indices of a single face of a Polygon struct Face { // Specifies the indices of the corner vertices of the polyhedron. // Indices point to the polyhedron vertex array. // The face vertices should all lie on the same plane. // The positive direction of the plane (the direction the face outwards normal points) // is the one where the vertices are wound in counter-clockwise order. std::vector v; // Reverses the winding order of this face. This has the effect of reversing the direction // the normal of this face points to. void FlipWindingOrder(); }; // Specifies the vertices of this polyhedron. std::vector v; std::vector f; int NumVertices() const {return (int)v.size();} int NumFaces() const { return (int)f.size();} AABB MinimalEnclosingAABB() const; Vector3 Vertex(int vertexIndex) const; bool Contains(const Vector3&) const; bool Contains(const LineSegment&) const; bool Contains(const Triangle&) const; bool Contains(const Polygon&) const; bool Contains(const AABB&) const; bool Contains(const OBB&) const; bool Contains(const Frustum&) const; bool Contains(const Polyhedron&) const; bool ContainsConvex(const Vector3&, float epsilon = 1e-4f) const; bool ContainsConvex(const LineSegment&) const; bool ContainsConvex(const Triangle&) const; bool Intersects(const Line&) const; bool Intersects(const LineSegment&) const; bool Intersects(const Ray&) const; bool Intersects(const Plane&) const; bool Intersects(const Polyhedron&) const; bool Intersects(const AABB&) const; bool Intersects(const OBB&) const; bool Intersects(const Triangle&) const; bool Intersects(const Polygon&) const; bool Intersects(const Frustum&) const; bool Intersects(const Sphere&) const; bool Intersects(const Capsule&) const; float FaceContainmentDistance2D(int i, Vector3 vector3) const; bool IsClosed() const; Plane FacePlane(int faceIndex) const; std::vector Faces() const; int NumEdges() const; LineSegment Edge(int edgeIndex) const; std::vector> EdgeIndices() const; std::vector Edges() const; Polygon FacePolygon(int faceIndex) const; Vector3 FaceNormal(int faceIndex) const; bool IsConvex() const; Vector3 ApproximateConvexCentroid() const; int ExtremeVertex(const Vector3 &direction) const; Vector3 ExtremePoint(const Vector3 &direction) const; /// Tests if the given face of this Polyhedron contains the given point. bool FaceContains(int faceIndex, const Vector3 &worldSpacePoint, float polygonThickness = 1e-3f) const; /// A helper for Contains() and FaceContains() tests: Returns a positive value if the given point is contained in the given face, /// and a negative value if the given point is outside the face. The magnitude of the return value reports a pseudo-distance /// from the point to the nearest edge of the face polygon. This is used as a robustness/stability criterion to estimate how /// numerically believable the result is. float FaceContainmentDistance2D(int faceIndex, const Vector3 &worldSpacePoint, float polygonThickness) const; void ProjectToAxis(const Vector3 &direction, float &outMin, float &outMax) const; protected: private: }; }