$#include "Vector2.h"

/// Two-dimensional vector.
class Vector2
{
public:
    /// Construct undefined.
    Vector2()
    {
    }
    
    /// Copy-construct from another vector.
    Vector2(const Vector2& vector) :
        x_(vector.x_),
        y_(vector.y_)
    {
    }
    
    /// Construct from coordinates.
    Vector2(float x, float y) :
        x_(x),
        y_(y)
    {
    }
    
    /// Construct from a float array.
    Vector2(const float* data) :
        x_(data[0]),
        y_(data[1])
    {
    }
    
    /// Test for equality with another vector without epsilon.
    bool operator == (const Vector2& rhs) const { return x_ == rhs.x_ && y_ == rhs.y_; }
    /// Add a vector.
    Vector2 operator + (const Vector2& rhs) const { return Vector2(x_ + rhs.x_, y_ + rhs.y_); }
    /// Return negation.
    Vector2 operator - () const { return Vector2(-x_, -y_); }
    /// Subtract a vector.
    Vector2 operator - (const Vector2& rhs) const { return Vector2(x_ - rhs.x_, y_ - rhs.y_); }
    /// Multiply with a scalar.
    Vector2 operator * (float rhs) const { return Vector2(x_ * rhs, y_ * rhs); }
    /// Multiply with a vector.
    Vector2 operator * (const Vector2& rhs) const { return Vector2(x_ * rhs.x_, y_ * rhs.y_); }
    /// Divide by a scalar.
    Vector2 operator / (float rhs) const { return Vector2(x_ / rhs, y_ / rhs); }
    /// Divide by a vector.
    Vector2 operator / (const Vector2& rhs) const { return Vector2(x_ / rhs.x_, y_ / rhs.y_); }
    Vector2 operator / (const Vector2& rhs) const;
    
    /// Normalize to unit length and return the previous length.
    float Normalize()
    {
        float len = Length();
        if (len >= M_EPSILON)
        {
            float invLen = 1.0f / len;
            x_ *= invLen;
            y_ *= invLen;
        }
        
        return len;
    }
    
    /// Return length.
    float Length() const { return sqrtf(x_ * x_ + y_ * y_); }
    /// Return squared length.
    float LengthSquared() const { return x_ * x_ + y_ * y_; }
    /// Calculate dot product.
    float DotProduct(const Vector2& rhs) const { return x_ * rhs.x_ + y_ * rhs.y_; }
    /// Calculate absolute dot product.
    float AbsDotProduct(const Vector2& rhs) const { return Urho3D::Abs(x_ * rhs.x_) + Urho3D::Abs(y_ * rhs.y_); }
    /// Return absolute vector.
    Vector2 Abs() const { return Vector2(Urho3D::Abs(x_), Urho3D::Abs(y_)); }
    /// Linear interpolation with another vector.
    Vector2 Lerp(const Vector2& rhs, float t) const { return *this * (1.0f - t) + rhs * t; }
    /// Test for equality with another vector with epsilon.
    bool Equals(const Vector2& rhs) const { return Urho3D::Equals(x_, rhs.x_) && Urho3D::Equals(y_, rhs.y_); }
    
    /// Return normalized to unit length.
    Vector2 Normalized() const
    {
        float len = Length();
        if (len >= M_EPSILON)
            return *this * (1.0f / len);
        else
            return *this;
    }
    
    /// Return as string.
    String ToString() 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) :
        x_(x),
        y_(y)
    {
    }
    
    /// Construct from an int array.
    IntVector2(const int* data) :
        x_(data[0]),
        y_(data[1])
    {
    }
    
    /// Copy-construct from another vector.
    IntVector2(const IntVector2& rhs) :
        x_(rhs.x_),
        y_(rhs.y_)
    {
    }
    
    /// Test for equality with another vector.
    bool operator == (const IntVector2& rhs) const { return x_ == rhs.x_ && y_ == rhs.y_; }
    /// Add a vector.
    IntVector2 operator + (const IntVector2& rhs) const { return IntVector2(x_ + rhs.x_, y_ + rhs.y_); }
    /// Return negation.
    IntVector2 operator - () const { return IntVector2(-x_, -y_); }
    /// Subtract a vector.
    IntVector2 operator - (const IntVector2& rhs) const { return IntVector2(x_ - rhs.x_, y_ - rhs.y_); }
    /// Multiply with a scalar.
    IntVector2 operator * (int rhs) const { return IntVector2(x_ * rhs, y_ * rhs); }
    /// Divide by a scalar.
    IntVector2 operator / (int rhs) const { return IntVector2(x_ / rhs, y_ / rhs); }
    IntVector2 operator / (int rhs) const;
    
    /// Return as string.
    String ToString() const;
    
    /// X coordinate.
    int x_ @ x;
    /// Y coordinate.
    int y_ @ y;
    
    /// Zero vector.
    static const IntVector2 ZERO;
};