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+/*
+ This file is part of the MinGfx Project.
+ 
+ Copyright (c) 2017,2018 Regents of the University of Minnesota.
+ All Rights Reserved.
+ 
+ Original Author(s) of this File:
+	Dan Keefe, 2018, University of Minnesota
+	
+ Author(s) of Significant Updates/Modifications to the File:
+	...
+ */
+
+#ifndef SRC_POINT3_H_
+#define SRC_POINT3_H_
+
+#include <iostream>
+#include <vector>
+
+namespace mingfx {
+
+/// Epsilon value used for == and != comparisons within MinGfx
+#define MINGFX_MATH_EPSILON 1e-8
+
+// forward declaration
+class Vector3;
+    
+    
+/** A 3D Point with floating point coordinates, used for storing vertices and
+ all sorts of other 3D graphics operations.  Point3s can be transformed by a
+ Matrix4.  Example:
+ ~~~
+ Point3 a(0,0,1);
+ std::cout << a << std::endl;
+
+ Matrix4 M = Matrix4::Translation(Vector3(0,0,-1));
+ Point3 b = M * a;
+ std::cout << b << std::endl;
+ 
+ // you can access the individual components of the point in two ways:
+ Point3 p(1,2,3);
+ float option1 = p.x();
+ float option2 = p[0];
+
+ // to set an individual component of the point use the [] operator:
+ Point3 p2;
+ p2[0] = 0.4;
+ p2[1] = 1.2;
+ p2[2] = 3.1;
+ ~~~
+ */
+class Point3 {
+public:  
+    /// Default point at the origin
+    Point3();
+
+    /// Constructs a point given (x,y,z,1), where the 1 comes from the use of
+    /// homogeneous coordinates in computer graphics.
+    Point3(float x, float y, float z);
+
+    /// Constructs a point given a pointer to x,y,z data
+    Point3(float *p);
+
+    /// Copy constructor for point
+    Point3(const Point3& p);
+
+    /// Point destructor
+    virtual ~Point3();
+
+    /// Check for "equality", taking floating point imprecision into account
+    bool operator==(const Point3& p) const;
+
+    /// Check for "inequality", taking floating point imprecision into account
+    bool operator!=(const Point3& p) const;
+
+    /// Assignment operator
+    Point3& operator=(const Point3& p);
+
+    /// Read only access to the ith coordinate of the point.
+    float operator[](const int i) const;
+    
+    /// Returns a reference to the ith coordinate of the point.  Use this
+    /// accessor if you wish to set the coordinate rather than just request
+    /// its value.  Example:
+    /// ~~~
+    /// Point3 a;
+    /// a[0] = 5.0; // set the x-coordinate of the point
+    /// ~~~
+    float& operator[](const int i);
+    
+    /// Read only access to the x coordinate.  Can also use my_point[0].  Use
+    /// the my_point[0] = 1.0; form if you need to set the value.
+    float x() const { return p[0]; }
+    
+    /// Read only access to the y coordinate.  Can also use my_point[1].  Use
+    /// the my_point[1] = 1.0; form if you need to set the value.
+    float y() const { return p[1]; }
+    
+    /// Read only access to the z coordinate.  Can also use my_point[2].  Use
+    /// the my_point[2] = 1.0; form if you need to set the value.
+    float z() const { return p[2]; }
+    
+    /// In homogeneous coordinates, the w coordinate for all points is 1.0.
+    float w() const { return 1.0; }
+    
+    /// Returns a const pointer to the raw data array
+    const float * value_ptr() const;
+
+    
+    /// Linear interpolation between this point and another. Alpha=0.0 returns
+    /// this point, and alpha=1.0 returns the other point, other values blend
+    /// between the two.
+    Point3 Lerp(const Point3 &b, float alpha) const;
+
+    /// Returns the shortest (i.e., perpendicular) distance from this point to
+    /// a plane defined by a point and a normal.
+    float DistanceToPlane(const Point3 &plane_origin, const Vector3 &plane_normal);
+
+    /// Returns the perpendicular projection of this point onto a plane defined
+    /// by a point and a normal.
+    Point3 ClosestPointOnPlane(const Point3 &plane_origin, const Vector3 &plane_normal);
+
+    /// Given a list of points, returns the closest in the last to the current point.
+    Point3 ClosestPoint(const std::vector<Point3> &point_list);
+    
+    
+    
+    /// (0,0,0) - a shortcut for a special point that is frequently needed
+    static const Point3& Origin();
+
+    /// (0,0,0) - a shortcut for a special point that is frequently needed
+    static const Point3& Zero();
+    
+    /// (1,1,1) - a shortcut for a special point that is frequently needed
+    static const Point3& One();
+    
+    /// Linear interpolation between two points.  Alpha=0.0 returns 'a' and
+    /// alpha=1.0 returns 'b', other values blend between the two.
+    static Point3 Lerp(const Point3 &a, const Point3 &b, float alpha);
+    
+    
+    
+private:
+    float p[3];
+};
+
+
+std::ostream & operator<< ( std::ostream &os, const Point3 &p);
+std::istream & operator>> ( std::istream &is, Point3 &p);
+
+
+} // namespace
+ 
+#endif