Vector2f.h

#ifndef VECTOR_2F_H
#define VECTOR_2F_H

#include <cmath>

class Vector3f;

class Vector2f
{
public:

    static const Vector2f ZERO;
    static const Vector2f UP;
    static const Vector2f RIGHT;

    Vector2f( float f = 0.f );
    Vector2f( float x, float y );

    // copy constructors
    Vector2f( const Vector2f& rv );

    // assignment operators
    Vector2f& operator = ( const Vector2f& rv );

    // no destructor necessary

    // returns the ith element
    const float& operator [] ( int i ) const;
    float& operator [] ( int i );

    float& x();
    float& y();

    float x() const;
    float y() const;

    Vector2f xy() const;
    Vector2f yx() const;
    Vector2f xx() const;
    Vector2f yy() const;

    // returns ( -y, x )
    Vector2f normal() const;

    float abs() const;
    float absSquared() const;
    void normalize();
    Vector2f normalized() const;

    void negate();

    // ---- Utility ----
    const float *getElements() const;
    void print() const;

    Vector2f& operator += ( const Vector2f& v );
    Vector2f& operator -= ( const Vector2f& v );
    Vector2f& operator *= ( float f );

    static float dot( const Vector2f& v0, const Vector2f& v1 );

    static Vector3f cross( const Vector2f& v0, const Vector2f& v1 );

    // returns v0 * ( 1 - alpha ) * v1 * alpha
    static Vector2f lerp( const Vector2f& v0, const Vector2f& v1, float alpha );

private:

    float m_elements[2];

};

// component-wise operators
Vector2f operator + ( const Vector2f& v0, const Vector2f& v1 );
Vector2f operator - ( const Vector2f& v0, const Vector2f& v1 );
Vector2f operator * ( const Vector2f& v0, const Vector2f& v1 );
Vector2f operator / ( const Vector2f& v0, const Vector2f& v1 );

// unary negation
Vector2f operator - ( const Vector2f& v );

// multiply and divide by scalar
Vector2f operator * ( float f, const Vector2f& v );
Vector2f operator * ( const Vector2f& v, float f );
Vector2f operator / ( const Vector2f& v, float f );

bool operator == ( const Vector2f& v0, const Vector2f& v1 );
bool operator != ( const Vector2f& v0, const Vector2f& v1 );

#endif // VECTOR_2F_H