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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_VECTOR2_H_
+#define SRC_VECTOR2_H_
+
+#include <iostream>
+
+#include "point2.h"
+
+
+namespace mingfx {
+
+
+/** A 2D Vector with floating point coordinates, used for storing 2D translations,
+ mouse movements, and screen-space vectors.
+ */
+class Vector2 {
+public:
+    
+    /// Default constructor to create zero vector
+    Vector2();
+    
+    /// Constructs a vector (x,y,0), where the 0 comes from the use of
+    /// homogeneous coordinates in computer graphics.
+    Vector2(float x, float y);
+    
+    /// Constructs a vector given a pointer to x,y,z data
+    Vector2(float *v);
+    
+    /// Copy constructor for vector
+    Vector2(const Vector2& v);
+    
+    /// Vector destructor
+    virtual ~Vector2();
+    
+    /// Check for "equality", taking floating point imprecision into account
+    bool operator==(const Vector2& v) const;
+    
+    /// Check for "inequality", taking floating point imprecision into account
+    bool operator!=(const Vector2& v) const;
+    
+    /// Vector assignment operator
+    Vector2& operator=(const Vector2& v);
+    
+    /// Read only access to the ith coordinate of the vector.
+    float operator[](const int i) const;
+    
+    /// Returns a reference to the ith coordinate of the vector.  Use this
+    /// accessor if you wish to set the coordinate rather than just request
+    /// its value.  Example:
+    /// ~~~
+    /// Vector2 a;
+    /// a[0] = 5.0; // set the x-coordinate of the vector
+    /// ~~~
+    float& operator[](const int i);
+    
+    /// Read only access to the x coordinate.  Can also use my_vector[0].  Use
+    /// the my_vector[0] = 1.0; form if you need to set the value.
+    float x() const { return v[0]; }
+    
+    /// Read only access to the y coordinate.  Can also use my_vector[1].  Use
+    /// the my_vector[1] = 1.0; form if you need to set the value.
+    float y() const { return v[1]; }
+        
+    /// In homogeneous coordinates, the w coordinate for all vectors is 0.0.
+    float w() const { return 0.0; }
+    
+    
+    // --- Vector operations ---
+    
+    /// Returns "this dot v"
+    float Dot(const Vector2& v) const;
+    
+    /// Returns the length of the vector
+    float Length() const;
+    
+    /// Normalizes the vector by making it unit length.
+    void Normalize();
+    
+    /// Returns a normalized (i.e., unit length) version of the vector without
+    /// modifying the original ('this') vector.
+    Vector2 ToUnit() const;
+    
+    /// Linear interpolation between this vector and another. Alpha=0.0 returns
+    /// this vector, and alpha=1.0 returns the other vector, other values blend
+    /// between the two.
+    Vector2 Lerp(const Vector2 &b, float alpha) const;
+    
+    /// Returns a const pointer to the raw data array
+    const float * value_ptr() const;
+
+    
+    
+    /// Returns a new vector that is the unit version of v.
+    static Vector2 Normalize(const Vector2 &v);
+    
+    /// Returns v1 dot v2
+    static float Dot(const Vector2 &v1, const Vector2 &v2);
+    
+    /// (0,0) - a shortcut for a special vector that is frequently needed
+    static const Vector2& Zero();
+
+    /// (1,1) - a shortcut for a special vector that is frequently needed
+    static const Vector2& One();
+
+    /// (1,0) - a shortcut for a special vector that is frequently needed
+    static const Vector2& UnitX();
+
+    /// (0,1) - a shortcut for a special vector that is frequently needed
+    static const Vector2& UnitY();
+    
+    /// Linear interpolation between two vectors.  Alpha=0.0 returns 'a' and
+    /// alpha=1.0 returns 'b', other values blend between the two.
+    static Vector2 Lerp(const Vector2 &a, const Vector2 &b, float alpha);
+
+private:
+    float v[2];
+};
+
+
+// ---------- Operator Overloads for Working with Vectors ----------
+
+
+// --- Scalers ---
+
+/// Divide the vector by the scalar s
+Vector2 operator/(const Vector2& v, const float s);
+
+/// Multiply the vector by the scalar s
+Vector2 operator*(const float s, const Vector2& v);
+
+/// Multiply the vector by the scalar s
+Vector2 operator*(const Vector2& v, const float s);
+
+/// Negate the vector
+Vector2 operator-(const Vector2& v);
+
+// Note: no -(point) operator, that's an undefined operation
+
+
+// --- Point and Vector Arithmetic ---
+
+/// Adds a vector and a point, returns a point
+Point2 operator+(const Vector2& v, const Point2& p);
+
+/// Adds a point and a vector, returns a point
+Point2 operator+(const Point2& p, const Vector2& v);
+
+/// Adds a vector and a vector, returns a vector
+Vector2 operator+(const Vector2& v1, const Vector2& v2);
+
+// Note: no (point + point) operator, that's an undefined operation
+
+/// Subtracts a vector from a point, returns a point
+Point2 operator-(const Point2& p, const Vector2& v);
+
+/// Subtracts v2 from v1, returns a vector
+Vector2 operator-(const Vector2& v1, const Vector2& v2);
+
+/// Returns the vector spanning p1 and p2
+Vector2 operator-(const Point2& p1, const Point2& p2);
+
+// Note: no (vector - point) operator, that's an undefined operation
+
+
+// --- Stream operators ---
+
+// Vector2
+std::ostream & operator<< ( std::ostream &os, const Vector2 &v);
+std::istream & operator>> ( std::istream &is, Vector2 &v);
+
+    
+} // end namespace
+
+#endif