Similarity.h

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#pragma once

#define _USE_MATH_DEFINES

#include <QMatrix4x4>
#include <QVector3D>
#include <QQuaternion>
#include <math.h>


class Similarity
{

public:
    Similarity();                                                               
    Similarity(QVector3D translation, QQuaternion rotation, float scale=1.0f);  
    Similarity(QMatrix4x4 rigidTransformation);             
    ~Similarity();

    //getters
    QVector3D translation(){return _translation;}           
    QQuaternion rotation(){return _rotation;}               
    QVector3D rotationEuler();                              
    float scale(){return _scale;}                           
    virtual QMatrix4x4 matrix();                            
    //setters
    void setTranslation(QVector3D translation){_translation=translation;}   
    void setRotation(QQuaternion rotation){_rotation=rotation;}             
    void setRotation(float x, float y, float z);                            
    void setScale(float scale){_scale=scale;}                               
    //static
    static QVector3D distance(Similarity a, Similarity b);                  
    static Similarity interpolate(Similarity a, Similarity b, float t);     
    static Similarity interpolate(Similarity a, Similarity b, float tTrans, float tRot, float tScale=0.5f);

    static Similarity bezier(QList<Similarity> controlPoints, float t);

    static Similarity responsiveBezier(QList<Similarity> controlPoints, float maxTranslation, float maxRotation);

    //operators
    Similarity operator*(Similarity& other);    
protected:
    QVector3D _translation;         
    QQuaternion _rotation;          
    float _scale;                   
    static QList<Similarity> bezierRecursion(QList<Similarity> input, float t); 
    static QList<Similarity> responsiveBezierRecursion(QList<Similarity> input, float maxTranslation, float maxRotation);
};