exercise 3

lesson_3/exercise_2.hpp

@@ -47,7 +47,7 @@ class Minivan : public PassengerCar, public Bus
 {
 public:
 	Minivan(std::string company, std::string model) :
-		PassengerCar(company, model), Bus(company, model), Car(company, model)
+		Car(company, model), PassengerCar(company, model), Bus(company, model)
     {
         std::cout << "Минивэн компании " + getCompany() + ", модель " + getModel() << std::endl;
     }

lesson_3/exercise_3.hpp

@@ -1,8 +1,225 @@
 #ifndef EXERCISE_3_HPP_
 #define EXERCISE_3_HPP_
 
+#include <iostream>
 
+class Fraction
+{
+private:
+	bool is_zero;
+	bool is_integer;
+	int numerator;
+	int denominator;
 
+	/*
+	 * Поиск наибольшего общего делителя
+	 * для числителя и знаменателя
+	 */
+	int NOD(int n1, int n2)
+	{
+		int div;
+		if (n1 == n2)  return n1;
+		int d = n1 - n2;
+		if (d < 0)
+		{
+			d = -d;
+			div = NOD(n1, d);
+		}
+		else
+			div = NOD(n2, d);
 
+		return div;
+	}
+
+	/*
+	 * Поиск наименьшего общего кратного
+	 * для знаменателей
+	 */
+	int NOK(int n1, int n2)
+	{
+		return n1 * n2 / NOD(n1, n2);
+	}
+
+	/*
+	 * Функция сокращения дроби
+	 */
+	void reduceFraction(int& a, int& b)
+	{
+		int divisor = NOD(abs(a), abs(b));
+		a = a / divisor;
+		b = b / divisor;
+	}
+public:
+	Fraction () : numerator(0), denominator(0)
+	{
+		is_zero = true;
+		is_integer = true;
+	}
+
+	Fraction(int num, int dnum) : numerator(num), denominator(dnum)
+	{
+		if (numerator == 0 || denominator == 0)
+		{
+			std::cout << "Числитель или знаменатель не может быть нулевым!\n"
+					<< "Число будет инициализировано нулём!" << std::endl;
+			numerator = 0;
+			denominator = 0;
+			is_zero = true;
+			is_integer = true;
+		}
+		else
+		{
+			is_zero = false;
+			is_integer = (abs(numerator) == abs(denominator) || denominator == 1);
+		}
+	}
+
+	friend std::ostream& operator<<(std::ostream&, const Fraction&);
+
+	Fraction operator+(const Fraction&);
+	Fraction operator-(const Fraction&);
+	Fraction operator*(const Fraction&);
+	Fraction operator/(const Fraction&);
+
+	Fraction operator-() const;
+
+	bool operator==(const Fraction&);
+	bool operator!=(const Fraction&);
+	bool operator<(const Fraction&);
+	bool operator>=(const Fraction&);
+	bool operator>(const Fraction&);
+	bool operator<=(const Fraction&);
+};
+
+std::ostream& operator<<(std::ostream& s, const Fraction& f)
+{
+	if (f.is_integer)
+	{
+		if (f.is_zero)
+			s << f.numerator;
+		else
+			s << f.numerator / f.denominator;
+	}
+	else
+		s << f.numerator << '/' << f.denominator;
+
+	return s;
+}
+
+Fraction Fraction::operator+(const Fraction& f)
+{
+	if (f.is_zero)
+		return Fraction(numerator, denominator);
+
+	if (is_zero)
+		return Fraction(f.numerator, f.denominator);
+
+	int new_denominator = NOK(denominator, f.denominator);
+	int new_numerator = numerator * (new_denominator / denominator) + f.numerator * (new_denominator / f.denominator);
+
+	reduceFraction(new_numerator, new_denominator);
+
+	return Fraction(new_numerator, new_denominator);
+}
+
+Fraction Fraction::operator-(const Fraction& f)
+{
+	if (f.is_zero)
+		return Fraction(numerator, denominator);
+
+	if (is_zero)
+		return Fraction(-f.numerator, f.denominator);
+
+	int new_denominator = NOK(denominator, f.denominator);
+	int new_numerator = numerator * (new_denominator / denominator) - f.numerator * (new_denominator / f.denominator);
+
+	if (new_numerator == 0)
+		return Fraction();
+
+	reduceFraction(new_numerator, new_denominator);
+
+	return Fraction(new_numerator, new_denominator);
+}
+
+Fraction Fraction::operator*(const Fraction& f)
+{
+	if (is_zero || f.is_zero)
+		return Fraction();
+
+	int new_numerator = numerator * f.numerator;
+	int new_denominator = denominator * f.denominator;
+
+	reduceFraction(new_numerator, new_denominator);
+
+	return Fraction(new_numerator, new_denominator);
+}
+
+Fraction Fraction::operator/(const Fraction& f)
+{
+	if (f.is_zero)
+	{
+		std::cout << " [На 0 делить нельзя!] ";
+		return Fraction();
+	}
+
+	if (is_zero)
+		return Fraction();
+
+	return *this * Fraction(f.denominator, f.numerator);
+}
+
+Fraction Fraction::operator-() const
+{
+	return Fraction(-numerator, denominator);
+}
+
+bool Fraction::operator==(const Fraction& f)
+{
+	if (is_zero || f.is_zero)
+		return numerator == f.numerator;
+
+	int a_n = numerator;
+	int a_d = denominator;
+
+	int b_n = f.numerator;
+	int b_d = f.denominator;
+
+	reduceFraction(a_n, a_d);
+	reduceFraction(b_n, b_d);
+
+	return a_n == b_n && a_d == b_d;
+}
+
+bool Fraction::operator!=(const Fraction& f)
+{
+	return !(*this == f);
+}
+
+bool Fraction::operator<(const Fraction& f)
+{
+	if (is_zero || f.is_zero)
+		return numerator < f.numerator;
+
+	int new_denominator = NOK(denominator, f.denominator);
+	int a_n = numerator * (new_denominator / denominator);
+	int b_n = f.numerator * (new_denominator / f.denominator);
+
+	return a_n < b_n;
+}
+
+bool Fraction::operator>=(const Fraction& f)
+{
+	return (*this == f || !(*this < f));
+}
+
+bool Fraction::operator>(const Fraction& f)
+{
+	return (*this != f && !(*this < f));
+}
+
+bool Fraction::operator<=(const Fraction& f)
+{
+	return (*this == f || *this < f);
+}
 
 #endif

lesson_3/main.cpp

@@ -12,15 +12,13 @@ void ex_1();
 void ex_2();
 void ex_3();
 void ex_4();
-void ex_5();
 
 int main()
 {
 //	ex_1();
-	ex_2();
+//	ex_2();
 	ex_3();
 	ex_4();
-	ex_5();
 
 	return 0;
 }
@@ -56,19 +54,83 @@ void ex_1()
 void ex_2()
 {
 	Minivan m("Макдоналдс", "ABC");
+
+	/*
+	 * Транспортное средство компании Макдоналдс, модель ABC
+	 * Легковой автомобиль компании Макдоналдс, модель ABC
+	 * Автобус компании Макдоналдс, модель ABC
+	 * Минивэн компании Макдоналдс, модель ABC
+	 */
 }
 
 void ex_3()
 {
+	Fraction a(3, 9);
+	Fraction b(2, 3);
+	Fraction c; // 0
 
+	cout << "a = " << a << endl;
+	cout << "b = " << b << endl;
+	cout << "c = " << c << endl;
+	cout << "[a + b] " << a << " + " << b << " = " << a + b << endl;
+	cout << "[a - b] " << a << " - " << b << " = " << a - b << endl;
+	cout << "[a * b] " << a << " * " << b << " = " << a * b << endl;
+	cout << "[a / b] " << a << " / " << b << " = " << a / b << endl;
+	cout << "[c + b] " << c << " + " << b << " = " << c + b << endl;
+	cout << "[b + c] " << b << " + " << c << " = " << b + c << endl;
+	cout << "[c - b] " << c << " - " << b << " = " << c - b << endl;
+	cout << "[b - c] " << b << " - " << c << " = " << b - c << endl;
+	cout << "[c * b] " << c << " * " << b << " = " << c * b << endl;
+	cout << "[b * c] " << b << " * " << c << " = " << b * c << endl;
+	cout << "[c / b] " << c << " / " << b << " = " << c / b << endl;
+	cout << "[b / c] " << b << " / " << c << " = " << b / c << endl;
+	cout << "-a = " << -a << endl;
+	cout << "[a == b] " << a << " == " << b << " is " << ((a == b) ? "true" : "false") << endl;
+	cout << "[a != b] " << a << " != " << b << " is " << ((a != b) ? "true" : "false") << endl;
+	cout << "[a < b]  " << a << " < " << b << " is " << ((a < b) ? "true" : "false") << endl;
+	cout << "[a <= b] " << a << " <= " << b << " is " << ((a <= b) ? "true" : "false") << endl;
+	cout << "[a > b]  " << a << " > " << b << " is " << ((a > b) ? "true" : "false") << endl;
+	cout << "[a >= b] " << a << " >= " << b << " is " << ((a >= b) ? "true" : "false") << endl;
+	cout << "[c == a] " << c << " == " << a << " is " << ((c == a) ? "true" : "false") << endl;
+	cout << "[c != a] " << c << " != " << a << " is " << ((c != a) ? "true" : "false") << endl;
+	cout << "[c < a]  " << c << " < " << a << " is " << ((c < a) ? "true" : "false") << endl;
+	cout << "[c <= a] " << c << " <= " << a << " is " << ((c <= a) ? "true" : "false") << endl;
+	cout << "[c > a]  " << c << " > " << a << " is " << ((c > a) ? "true" : "false") << endl;
+	cout << "[c >= a] " << c << " >= " << a << " is " << ((c >= a) ? "true" : "false") << endl;
+
+	/*
+	 * a = 3/9
+	 * b = 2/3
+	 * c = 0
+	 * [a + b] 3/9 + 2/3 = 1
+	 * [a - b] 3/9 - 2/3 = -1/3
+	 * [a * b] 3/9 * 2/3 = 2/9
+	 * [a / b] 3/9 / 2/3 = 1/2
+	 * [c + b] 0 + 2/3 = 2/3
+	 * [b + c] 2/3 + 0 = 2/3
+	 * [c - b] 0 - 2/3 = -2/3
+	 * [b - c] 2/3 - 0 = 2/3
+	 * [c * b] 0 * 2/3 = 0
+	 * [b * c] 2/3 * 0 = 0
+	 * [c / b] 0 / 2/3 = 0
+	 * [b / c] 2/3 / 0 =  [На 0 делить нельзя!] 0
+	 * -a = -3/9
+	 * [a == b] 3/9 == 2/3 is false
+	 * [a != b] 3/9 != 2/3 is true
+	 * [a < b]  3/9 < 2/3 is true
+	 * [a <= b] 3/9 <= 2/3 is true
+	 * [a > b]  3/9 > 2/3 is false
+	 * [a >= b] 3/9 >= 2/3 is false
+	 * [c == a] 0 == 3/9 is false
+	 * [c != a] 0 != 3/9 is true
+	 * [c < a]  0 < 3/9 is true
+	 * [c <= a] 0 <= 3/9 is true
+	 * [c > a]  0 > 3/9 is false
+	 * [c >= a] 0 >= 3/9 is false
+	 */
 }
 
 void ex_4()
 {
 
 }
-
-void ex_5()
-{
-
-}