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+/**
+ @file ConvexPolyhedron.h
+
+ @maintainer Morgan McGuire, http://graphics.cs.williams.edu
+
+ @created 2001-11-11
+ @edited 2006-04-10
+
+ Copyright 2000-2006, Morgan McGuire.
+ All rights reserved.
+ */
+
+#ifndef G3D_CONVEXPOLYHEDRON_H
+#define G3D_CONVEXPOLYHEDRON_H
+
+#include "G3D/platform.h"
+#include "G3D/Vector3.h"
+#include "G3D/Vector2.h"
+#include "G3D/CoordinateFrame.h"
+#include "G3D/Plane.h"
+#include "G3D/Line.h"
+#include "G3D/Array.h"
+
+namespace G3D {
+
+class DirectedEdge {
+public:
+ Vector3 start;
+ Vector3 stop;
+};
+
+class ConvexPolygon {
+private:
+
+ friend class ConvexPolyhedron;
+
+ Array<Vector3> _vertex;
+
+public:
+
+ ConvexPolygon() {}
+ ConvexPolygon(const Vector3& v0, const Vector3& v1, const Vector3& v2);
+ ConvexPolygon(const Array<Vector3>& __vertex);
+ virtual ~ConvexPolygon() {}
+
+ /**
+ Counter clockwise winding order.
+ */
+ inline const Vector3& vertex(int i) const {
+ return _vertex[i];
+ }
+
+ inline void setVertex(int i, const Vector3& v) {
+ _vertex[i] = v;
+ }
+
+ /**
+ Zero vertices indicates an empty polygon (zero area).
+ */
+ inline int numVertices() const {
+ return _vertex.size();
+ }
+
+ inline void setNumVertices(int n) {
+ _vertex.resize(n);
+ }
+
+ /**
+ O(n) in the number of edges
+ */
+ bool isEmpty() const;
+
+ /**
+ Cuts the polygon at the plane. If the polygon is entirely above or below
+ the plane, one of the returned polygons will be empty.
+
+ @param above The part of the polygon above (on the side the
+ normal points to or in the plane) the plane
+ @param below The part of the polygon below the plane.
+ @param newEdge If a new edge was introduced, this is that edge (on the above portion; the below portion is the opposite winding.
+ */
+ void cut(const Plane& plane, ConvexPolygon &above, ConvexPolygon &below, DirectedEdge& newEdge);
+ void cut(const Plane& plane, ConvexPolygon &above, ConvexPolygon &below);
+
+ /**
+ When a cut plane grazes a vertex in the polygon, two near-identical vertices may be created.
+ The closeness of these two points can cause a number of problems, such as ConvexPolygon::normal()
+ returning an infinite vector. It should be noted, however, that not all applications are
+ sensitive to near-identical vertices.
+
+ removeDuplicateVertices() detects and eliminates redundant vertices.
+ */
+ void removeDuplicateVertices();
+
+ /**
+ O(n) in the number of edges
+ */
+ float getArea() const;
+
+ inline Vector3 normal() const {
+ debugAssert(_vertex.length() >= 3);
+ return (_vertex[1] - _vertex[0]).cross(_vertex[2] - _vertex[0]).direction();
+ }
+
+ /**
+ Returns the same polygon with inverse winding.
+ */
+ ConvexPolygon inverse() const;
+};
+
+
+
+class ConvexPolyhedron {
+public:
+ /**
+ Zero faces indicates an empty polyhedron
+ */
+ Array<ConvexPolygon> face;
+
+ ConvexPolyhedron() {}
+ ConvexPolyhedron(const Array<ConvexPolygon>& _face);
+
+ /**
+ O(n) in the number of edges
+ */
+ bool isEmpty() const;
+
+ /**
+ O(n) in the number of edges
+ */
+ float getVolume() const;
+
+ /**
+ Cuts the polyhedron at the plane. If the polyhedron is entirely above or below
+ the plane, one of the returned polyhedra will be empty.
+
+ @param above The part of the polyhedron above (on the side the
+ normal points to or in the plane) the plane
+ @param below The part of the polyhedron below the plane.
+ */
+ void cut(const Plane& plane, ConvexPolyhedron &above, ConvexPolyhedron &below);
+};
+
+/**
+
+ */
+class ConvexPolygon2D {
+private:
+
+ Array<Vector2> m_vertex;
+
+public:
+
+ ConvexPolygon2D() {}
+
+ /**
+ Points are counter-clockwise in a Y = down, X = right coordinate
+ system.
+
+ @param reverse If true, the points are reversed (i.e. winding direction is changed)
+ before the polygon is created.
+ */
+ ConvexPolygon2D(const Array<Vector2>& pts, bool reverse = false);
+
+ inline int numVertices() const {
+ return m_vertex.size();
+ }
+
+ inline const Vector2& vertex(int index) const {
+ debugAssert((index >= 0) && (index <= m_vertex.size()));
+ return m_vertex[index];
+ }
+
+ /** @param reverseWinding If true, the winding direction of the polygon is reversed for this test.*/
+ bool contains(const Vector2& p, bool reverseWinding = false) const;
+};
+
+
+} // namespace
+#endif