$#include "Vector3.h"

/// Three-dimensional vector.
class Vector3
{
public:
    /// Construct undefined.
    Vector3();
    
    /// Copy-construct from another vector.
    Vector3(const Vector3& vector);
    
    /// Construct from a two-dimensional vector and the Z coordinate.
    Vector3(const Vector2& vector, float z);
    
    /// Construct from coordinates.
    Vector3(float x, float y, float z);
    
    /// Test for equality with another vector without epsilon.
    bool operator == (const Vector3& rhs) const;
    /// Add a vector.
    Vector3 operator + (const Vector3& rhs) const;
    /// Return negation.
    Vector3 operator - () const;
    /// Subtract a vector.
    Vector3 operator - (const Vector3& rhs) const;
    /// Multiply with a scalar.
    Vector3 operator * (float rhs) const;
    /// Multiply with a vector.
    Vector3 operator * (const Vector3& rhs) const;
    /// Divide by a scalar.
    Vector3 operator / (float rhs) const;
    /// Divide by a vector.
    Vector3 operator / (const Vector3& 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 Vector3& rhs) const;
    /// Calculate absolute dot product.
    float AbsDotProduct(const Vector3& rhs) const;
    
    /// Calculate cross product.
    Vector3 CrossProduct(const Vector3& rhs) const;
    
    /// Return absolute vector.
    Vector3 Abs() const;
    /// Linear interpolation with another vector.
    Vector3 Lerp(const Vector3& rhs, float t) const;
    /// Test for equality with another vector with epsilon.
    bool Equals(const Vector3& rhs) const;
    
    /// Return normalized to unit length.
    Vector3 Normalized() const;
    
	/// X coordinate.
    float x_ @ x;
    /// Y coordinate.
    float y_ @ y;
    /// Z coordinate.
    float z_ @ z;
    
    /// Zero vector.
    static const Vector3 ZERO;
    /// (-1,0,0) vector.
    static const Vector3 LEFT;
    /// (1,0,0) vector.
    static const Vector3 RIGHT;
    /// (0,1,0) vector.
    static const Vector3 UP;
    /// (0,-1,0) vector.
    static const Vector3 DOWN;
    /// (0,0,1) vector.
    static const Vector3 FORWARD;
    /// (0,0,-1) vector.
    static const Vector3 BACK;
    /// (1,1,1) vector.
    static const Vector3 ONE;
};