#include <iostream>
#include "math.h"
#include "point.h"

point::point(double xs, double ys) {
    setPoint(xs, ys);
    getPoint();
}

point::~point() {}

point::point &operator+(point p, point q) {
    point r;
    r.setPoint(p.getX()+q.getX(), p.getY()+q.getY());
    return r;
}

point::point &operator-(point p, point q) {
    point r;
    r.setPoint(p.getX()-q.getX(), p.getY()-q.getY());
    return r;
}

point::point &operator*(point p, point q) {
    point r;
    r.setPoint(p.getX()*q.getX(), p.getY()*q.getY());
    return r;
}

point::point &operator/(point p, point q) {
    point r;
    r.setPoint(p.getX()/q.getX(), p.getY()/q.getY());
    return r;
}

bool operator==(point p, point q) {
    if(p.getX()==q.getX()) {
        if(p.getY() == q.getY()) {
        return true;
        }
    }
    else {return false;}
}

bool operator!=(point p, point q) {
    if(p.getX() != q.getX()) {
        if(p.getY() != q.getY()) {
        return true;
        }
    }
    else return false;
}

point::void setX(double q) {x = q;}
point::void setY(double q) {y = q;}
point::void setR(double q) {r = q;}
point::void setTH(double q) {th = q;}

point::void distance(point p, point q) {
    cout << sqrt((p.getX()-q.getX())^2+(p.getY()-q.getY())^2);
}

point::void midpoint(point p, point q) {
    point r;
    r.setPoint((p.getX()+q.getX())/2, (p.getY()+q.getY())/2);
    cout << r;
}

point::void XY2Pol() {
    double q; //for quadrant correction
    r = sqrt(x^2+y^2);
    if(x = 0) {
        th = pi/2;
    }
    if((0 < x) && (0 < y)) {
        q = 0;
    }
    else if((x < 0) && (0 < y)) {
        q = -pi;
    }
    else if((x < 0) && (y > 0)) {
        q = pi;
    }
    else if((0 < x) && (y < 0)) {
        q = -2*pi;
    }
    double ath = arctan(abs(y/x));
    th = abs(ath + q);
}

point::void Pol2XY() {
    x = r*cos(th);
    y = r*sin(th);
}
    

point::void rotate(double ph) {
    XY2Pol();
    double aph = -ph;
    double ath = th;
    ph = aph; //C++ calculates angles counter-clockwise
    th = ath + ph;
    Pol2XY(); //this function is cake with polar coords :)
}