$#include "Math/Vector3.h"

class Vector3
{
    Vector3();
    Vector3(const Vector3& vector);
    Vector3(const Vector2& vector, float z);
    Vector3(const Vector2& vector);
    Vector3(const IntVector3& vector);
    Vector3(float x, float y, float z);
    Vector3(float x, float y);
    ~Vector3();

    bool operator ==(const Vector3& rhs) const;
    Vector3 operator + (const Vector3& rhs) const;
    Vector3 operator - () const;
    Vector3 operator - (const Vector3& rhs) const;
    Vector3 operator * (float rhs) const;
    Vector3 operator * (const Vector3& rhs) const;
    Vector3 operator / (float rhs) const;
    Vector3 operator / (const Vector3& rhs) const;
    void Normalize();
    float Length() const;
    float LengthSquared() const;
    float DotProduct(const Vector3& rhs) const;
    float AbsDotProduct(const Vector3& rhs) const;
    float ProjectOntoAxis(const Vector3& axis) const;
    Vector3 CrossProduct(const Vector3& rhs) const;
    Vector3 Abs() const;
    Vector3 Lerp(const Vector3& rhs, float t) const;
    bool Equals(const Vector3& rhs) const;
    bool IsNaN() const;
    float Angle(const Vector3& rhs) const;
    Vector3 Normalized() const;

    String ToString() const;

    float x_ @ x;
    float y_ @ y;
    float z_ @ z;

    static const Vector3 ZERO;
    static const Vector3 LEFT;
    static const Vector3 RIGHT;
    static const Vector3 UP;
    static const Vector3 DOWN;
    static const Vector3 FORWARD;
    static const Vector3 BACK;
    static const Vector3 ONE;
};

class IntVector3
{
    IntVector3();
    IntVector3(int x, int y, int z);
    IntVector3(const IntVector3& rhs);
    ~IntVector3();

    bool operator ==(const IntVector3& rhs) const;
    IntVector3 operator + (const IntVector3& rhs) const;
    IntVector3 operator - () const;
    IntVector3 operator - (const IntVector3& rhs) const;
    IntVector3 operator * (int rhs) const;
    IntVector3 operator / (int rhs) const;

    String ToString() const;
    unsigned ToHash() const;
    float Length() const;

    int x_ @ x;
    int y_ @ y;
    int z_ @ z;

    static const IntVector3 ZERO;
    static const IntVector3 LEFT;
    static const IntVector3 RIGHT;
    static const IntVector3 UP;
    static const IntVector3 DOWN;
    static const IntVector3 FORWARD;
    static const IntVector3 BACK;
    static const IntVector3 ONE;
};

Vector3 VectorLerp(const Vector3& lhs, const Vector3& rhs, const Vector3& t);
Vector3 VectorMin(const Vector3& lhs, const Vector3& rhs);
Vector3 VectorMax(const Vector3& lhs, const Vector3& rhs);
Vector3 VectorFloor(const Vector3& vec);
Vector3 VectorRound(const Vector3& vec);
Vector3 VectorCeil(const Vector3& vec);
IntVector3 VectorFloorToInt(const Vector3& vec);
IntVector3 VectorRoundToInt(const Vector3& vec);
IntVector3 VectorCeilToInt(const Vector3& vec);
IntVector3 VectorMin(const IntVector3& lhs, const IntVector3& rhs);
IntVector3 VectorMax(const IntVector3& lhs, const IntVector3& rhs);
float StableRandom(const Vector3& seed);