#pragma once

#include <iostream>

class NR {
  private:
	int m_Numerator;
	int m_Denominator; //has to be > 0, sign is carried by the numerator

  public:
	NR() : m_Numerator(0), m_Denominator(1) {}
	NR(int entier) : m_Numerator(entier), m_Denominator(1) {}
	NR(int numerator, int denominator); //check if denominator != 0
	void NRset(int numerator, int denominator); //same

	void reduceNR(); //divide by PGCD, not automatically called yet
	void invertNR();

	int NRgetNum() const;
	int NRgetDen() const;
	NR& operator =(const NR& opNR);

	bool operator ==(const NR& opNR) const;
	bool operator <(const NR& opNR) const;
	bool operator >(const NR& opNR) const;

	bool operator !=(const NR& opNR) const;
	bool operator <=(const NR& opNR) const;
	bool operator >=(const NR& opNR) const;

	friend std::ostream& operator <<(std::ostream& os, const NR& opNR);
	friend std::istream& operator >>(std::istream& os, NR& opNR);

	NR operator +(const NR& opNR) const;
	NR operator -(const NR& opNR) const;
	NR operator *(const NR& opNR) const;
	NR operator /(const NR& opNR) const;

	static void test();
};

int PGCD(int x, int y);