Vector3f.h

#ifndef VECTOR_3F_H
#define VECTOR_3F_H

class Vector2f;

class Vector3f
{
public:

    static const Vector3f ZERO;
    static const Vector3f UP;
    static const Vector3f RIGHT;
    static const Vector3f FORWARD;

    Vector3f( float f = 0.f );
    Vector3f( float x, float y, float z );

    Vector3f( const Vector2f& xy, float z );
    Vector3f( float x, const Vector2f& yz );

    // copy constructors
    Vector3f( const Vector3f& rv );

    // assignment operators
    Vector3f& operator = ( const Vector3f& rv );

    // no destructor necessary

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

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

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

    Vector2f xy() const;
    Vector2f xz() const;
    Vector2f yz() const;

    Vector3f xyz() const;
    Vector3f yzx() const;
    Vector3f zxy() const;

    float abs() const;
    float absSquared() const;

    void normalize();
    Vector3f normalized() const;

    Vector2f homogenized() const;

    void negate();

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

    Vector3f& operator += ( const Vector3f& v );
    Vector3f& operator -= ( const Vector3f& v );
    Vector3f& operator *= ( float f );

    static float dot( const Vector3f& v0, const Vector3f& v1 );
    static Vector3f cross( const Vector3f& v0, const Vector3f& v1 );

    // computes the linear interpolation between v0 and v1 by alpha \in [0,1]
    // returns v0 * ( 1 - alpha ) * v1 * alpha
    static Vector3f lerp( const Vector3f& v0, const Vector3f& v1, float alpha );

    // computes the cubic catmull-rom interpolation between p0, p1, p2, p3
    // by t \in [0,1].  Guarantees that at t = 0, the result is p0 and
    // at p1, the result is p2.
    static Vector3f cubicInterpolate( const Vector3f& p0, const Vector3f& p1, const Vector3f& p2, const Vector3f& p3, float t );

private:

    float m_elements[ 3 ];

};

// component-wise operators
Vector3f operator + ( const Vector3f& v0, const Vector3f& v1 );
Vector3f operator - ( const Vector3f& v0, const Vector3f& v1 );
Vector3f operator * ( const Vector3f& v0, const Vector3f& v1 );
Vector3f operator / ( const Vector3f& v0, const Vector3f& v1 );

// unary negation
Vector3f operator - ( const Vector3f& v );

// multiply and divide by scalar
Vector3f operator * ( float f, const Vector3f& v );
Vector3f operator * ( const Vector3f& v, float f );
Vector3f operator / ( const Vector3f& v, float f );

bool operator == ( const Vector3f& v0, const Vector3f& v1 );
bool operator != ( const Vector3f& v0, const Vector3f& v1 );

#endif // VECTOR_3F_H