$#include "Vector2.h"

/// Two-dimensional vector.
class Vector2
{
public:
    /// Construct undefined.
    Vector2();
    
    /// Copy-construct from another vector.
    Vector2(const Vector2& vector);
    
    /// Construct from coordinates.
    Vector2(float x, float y);
    
    /// Construct from a float array.
    Vector2(const float* data);
    
    /// Test for equality with another vector without epsilon.
    bool operator == (const Vector2& rhs) const;
    
	/// Add a vector.
    Vector2 operator + (const Vector2& rhs) const;
    /// Return negation.
    Vector2 operator - () const;
    /// Subtract a vector.
    Vector2 operator - (const Vector2& rhs) const;
    /// Multiply with a scalar.
    Vector2 operator * (float rhs) const;
    /// Multiply with a vector.
    Vector2 operator * (const Vector2& rhs) const;
    /// Divide by a scalar.
    Vector2 operator / (float rhs) const;
    /// Divide by a vector.
    Vector2 operator / (const Vector2& rhs) const;
    
    /// Normalize to unit length and return the previous length.
    float Normalize();
    
    /// Return length.
    float Length() const;
    /// Return squared length.
    float LengthSquared() const;
    /// Calculate dot product.
    float DotProduct(const Vector2& rhs) const;
    /// Calculate absolute dot product.
    float AbsDotProduct(const Vector2& rhs) const;
    /// Return absolute vector.
    Vector2 Abs() const;
    /// Linear interpolation with another vector.
    Vector2 Lerp(const Vector2& rhs, float t) const;
    /// Test for equality with another vector with epsilon.
    bool Equals(const Vector2& rhs) const;
    
    /// Return normalized to unit length.
    Vector2 Normalized() const;
    
    /// X coordinate.
    float x_ @ x;
    /// Y coordinate.
    float y_ @ y;
    
    /// Zero vector.
    static const Vector2 ZERO;
    /// (-1,0) vector.
    static const Vector2 LEFT;
    /// (1,0) vector.
    static const Vector2 RIGHT;
    /// (0,1) vector.
    static const Vector2 UP;
    /// (0,-1) vector.
    static const Vector2 DOWN;
    /// (1,1) vector.
    static const Vector2 ONE;
};

/// Two-dimensional vector with integer values.
class IntVector2
{
public:
    /// Construct undefined.
    IntVector2();
    
    /// Construct from coordinates.
    IntVector2(int x, int y);
    
    /// Construct from an int array.
    IntVector2(const int* data);
    
    /// Copy-construct from another vector.
    IntVector2(const IntVector2& rhs);
    
    /// Test for equality with another vector.
    bool operator == (const IntVector2& rhs) const;
    /// Add a vector.
    IntVector2 operator + (const IntVector2& rhs) const;
    /// Return negation.
    IntVector2 operator - () const;
    /// Subtract a vector.
    IntVector2 operator - (const IntVector2& rhs) const;
    /// Multiply with a scalar.
    IntVector2 operator * (int rhs) const;
    /// Divide by a scalar.
    IntVector2 operator / (int rhs) const;
    
    
    /// X coordinate.
    int x_ @ x;
    /// Y coordinate.
    int y_ @ y;
    
    /// Zero vector.
    static const IntVector2 ZERO;
};