#include <iostream>
#include <complex>
using namespace std;

typedef complex<double> point;

point transmission(const point &p, const point &u);
point congruence(const point &p, const point &o, const double &coe);
point pointSym(const point &p, const point &s);
point lineSym(const point &p, const point &l1, const point &l2);
point rotate(const point &p, const point &o, const double &theta);

int main() {
	
	return 0;
}

point transmission(const point &p, const point &u) {
	return p + u;
}

point congruence(const point &p, const point &o, const double &coe) {
	return coe * (p - o) + o;
}

point pointSym(const point &p, const point &s) {
	return 2. * s - p;
}

point lineSym(const point &p, const point &l1, const point &l2) {
	return conj((p - l1) / (l2 - l1)) * (l2 - l1) + l1;
}

point rotate(const point &p, const point &o, const double &theta) {
	return (p - o) * exp(point(0., theta)) + o;
}