exercise 3
This commit is contained in:
Alexander Zhirov
parent
6a05ccbf97
commit
aeddf4cc21
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@ -47,7 +47,7 @@ class Minivan : public PassengerCar, public Bus
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{
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public:
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Minivan(std::string company, std::string model) :
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PassengerCar(company, model), Bus(company, model), Car(company, model)
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Car(company, model), PassengerCar(company, model), Bus(company, model)
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{
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std::cout << "Минивэн компании " + getCompany() + ", модель " + getModel() << std::endl;
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}
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@ -1,8 +1,225 @@
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#ifndef EXERCISE_3_HPP_
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#define EXERCISE_3_HPP_
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#include <iostream>
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class Fraction
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{
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private:
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bool is_zero;
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bool is_integer;
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int numerator;
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int denominator;
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/*
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* Поиск наибольшего общего делителя
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* для числителя и знаменателя
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*/
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int NOD(int n1, int n2)
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{
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int div;
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if (n1 == n2) return n1;
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int d = n1 - n2;
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if (d < 0)
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{
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d = -d;
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div = NOD(n1, d);
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}
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else
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div = NOD(n2, d);
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return div;
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}
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/*
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* Поиск наименьшего общего кратного
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* для знаменателей
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*/
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int NOK(int n1, int n2)
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{
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return n1 * n2 / NOD(n1, n2);
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}
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/*
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* Функция сокращения дроби
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*/
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void reduceFraction(int& a, int& b)
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{
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int divisor = NOD(abs(a), abs(b));
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a = a / divisor;
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b = b / divisor;
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}
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public:
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Fraction () : numerator(0), denominator(0)
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{
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is_zero = true;
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is_integer = true;
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}
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Fraction(int num, int dnum) : numerator(num), denominator(dnum)
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{
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if (numerator == 0 || denominator == 0)
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{
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std::cout << "Числитель или знаменатель не может быть нулевым!\n"
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<< "Число будет инициализировано нулём!" << std::endl;
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numerator = 0;
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denominator = 0;
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is_zero = true;
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is_integer = true;
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}
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else
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{
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is_zero = false;
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is_integer = (abs(numerator) == abs(denominator) || denominator == 1);
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}
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}
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friend std::ostream& operator<<(std::ostream&, const Fraction&);
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Fraction operator+(const Fraction&);
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Fraction operator-(const Fraction&);
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Fraction operator*(const Fraction&);
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Fraction operator/(const Fraction&);
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Fraction operator-() const;
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bool operator==(const Fraction&);
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bool operator!=(const Fraction&);
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bool operator<(const Fraction&);
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bool operator>=(const Fraction&);
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bool operator>(const Fraction&);
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bool operator<=(const Fraction&);
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};
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std::ostream& operator<<(std::ostream& s, const Fraction& f)
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{
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if (f.is_integer)
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{
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if (f.is_zero)
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s << f.numerator;
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else
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s << f.numerator / f.denominator;
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}
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else
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s << f.numerator << '/' << f.denominator;
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return s;
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}
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Fraction Fraction::operator+(const Fraction& f)
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{
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if (f.is_zero)
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return Fraction(numerator, denominator);
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if (is_zero)
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return Fraction(f.numerator, f.denominator);
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int new_denominator = NOK(denominator, f.denominator);
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int new_numerator = numerator * (new_denominator / denominator) + f.numerator * (new_denominator / f.denominator);
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reduceFraction(new_numerator, new_denominator);
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return Fraction(new_numerator, new_denominator);
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}
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Fraction Fraction::operator-(const Fraction& f)
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{
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if (f.is_zero)
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return Fraction(numerator, denominator);
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if (is_zero)
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return Fraction(-f.numerator, f.denominator);
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int new_denominator = NOK(denominator, f.denominator);
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int new_numerator = numerator * (new_denominator / denominator) - f.numerator * (new_denominator / f.denominator);
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if (new_numerator == 0)
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return Fraction();
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reduceFraction(new_numerator, new_denominator);
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return Fraction(new_numerator, new_denominator);
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}
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Fraction Fraction::operator*(const Fraction& f)
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{
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if (is_zero || f.is_zero)
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return Fraction();
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int new_numerator = numerator * f.numerator;
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int new_denominator = denominator * f.denominator;
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reduceFraction(new_numerator, new_denominator);
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return Fraction(new_numerator, new_denominator);
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}
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Fraction Fraction::operator/(const Fraction& f)
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{
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if (f.is_zero)
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{
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std::cout << " [На 0 делить нельзя!] ";
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return Fraction();
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}
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if (is_zero)
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return Fraction();
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return *this * Fraction(f.denominator, f.numerator);
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}
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Fraction Fraction::operator-() const
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{
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return Fraction(-numerator, denominator);
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}
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bool Fraction::operator==(const Fraction& f)
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{
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if (is_zero || f.is_zero)
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return numerator == f.numerator;
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int a_n = numerator;
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int a_d = denominator;
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int b_n = f.numerator;
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int b_d = f.denominator;
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reduceFraction(a_n, a_d);
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reduceFraction(b_n, b_d);
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return a_n == b_n && a_d == b_d;
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}
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bool Fraction::operator!=(const Fraction& f)
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{
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return !(*this == f);
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}
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bool Fraction::operator<(const Fraction& f)
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{
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if (is_zero || f.is_zero)
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return numerator < f.numerator;
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int new_denominator = NOK(denominator, f.denominator);
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int a_n = numerator * (new_denominator / denominator);
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int b_n = f.numerator * (new_denominator / f.denominator);
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return a_n < b_n;
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}
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bool Fraction::operator>=(const Fraction& f)
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{
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return (*this == f || !(*this < f));
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}
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bool Fraction::operator>(const Fraction& f)
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{
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return (*this != f && !(*this < f));
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}
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bool Fraction::operator<=(const Fraction& f)
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{
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return (*this == f || *this < f);
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}
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#endif
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@ -12,15 +12,13 @@ void ex_1();
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void ex_2();
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void ex_3();
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void ex_4();
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void ex_5();
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int main()
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{
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// ex_1();
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ex_2();
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// ex_2();
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ex_3();
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ex_4();
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ex_5();
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return 0;
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}
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@ -56,19 +54,83 @@ void ex_1()
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void ex_2()
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{
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Minivan m("Макдоналдс", "ABC");
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/*
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* Транспортное средство компании Макдоналдс, модель ABC
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* Легковой автомобиль компании Макдоналдс, модель ABC
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* Автобус компании Макдоналдс, модель ABC
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* Минивэн компании Макдоналдс, модель ABC
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*/
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}
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void ex_3()
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{
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Fraction a(3, 9);
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Fraction b(2, 3);
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Fraction c; // 0
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cout << "a = " << a << endl;
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cout << "b = " << b << endl;
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cout << "c = " << c << endl;
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cout << "[a + b] " << a << " + " << b << " = " << a + b << endl;
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cout << "[a - b] " << a << " - " << b << " = " << a - b << endl;
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cout << "[a * b] " << a << " * " << b << " = " << a * b << endl;
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cout << "[a / b] " << a << " / " << b << " = " << a / b << endl;
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cout << "[c + b] " << c << " + " << b << " = " << c + b << endl;
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cout << "[b + c] " << b << " + " << c << " = " << b + c << endl;
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cout << "[c - b] " << c << " - " << b << " = " << c - b << endl;
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cout << "[b - c] " << b << " - " << c << " = " << b - c << endl;
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cout << "[c * b] " << c << " * " << b << " = " << c * b << endl;
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cout << "[b * c] " << b << " * " << c << " = " << b * c << endl;
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cout << "[c / b] " << c << " / " << b << " = " << c / b << endl;
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cout << "[b / c] " << b << " / " << c << " = " << b / c << endl;
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cout << "-a = " << -a << endl;
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cout << "[a == b] " << a << " == " << b << " is " << ((a == b) ? "true" : "false") << endl;
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cout << "[a != b] " << a << " != " << b << " is " << ((a != b) ? "true" : "false") << endl;
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cout << "[a < b] " << a << " < " << b << " is " << ((a < b) ? "true" : "false") << endl;
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cout << "[a <= b] " << a << " <= " << b << " is " << ((a <= b) ? "true" : "false") << endl;
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cout << "[a > b] " << a << " > " << b << " is " << ((a > b) ? "true" : "false") << endl;
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cout << "[a >= b] " << a << " >= " << b << " is " << ((a >= b) ? "true" : "false") << endl;
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cout << "[c == a] " << c << " == " << a << " is " << ((c == a) ? "true" : "false") << endl;
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cout << "[c != a] " << c << " != " << a << " is " << ((c != a) ? "true" : "false") << endl;
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cout << "[c < a] " << c << " < " << a << " is " << ((c < a) ? "true" : "false") << endl;
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cout << "[c <= a] " << c << " <= " << a << " is " << ((c <= a) ? "true" : "false") << endl;
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cout << "[c > a] " << c << " > " << a << " is " << ((c > a) ? "true" : "false") << endl;
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cout << "[c >= a] " << c << " >= " << a << " is " << ((c >= a) ? "true" : "false") << endl;
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/*
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* a = 3/9
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* b = 2/3
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* c = 0
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* [a + b] 3/9 + 2/3 = 1
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* [a - b] 3/9 - 2/3 = -1/3
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* [a * b] 3/9 * 2/3 = 2/9
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* [a / b] 3/9 / 2/3 = 1/2
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* [c + b] 0 + 2/3 = 2/3
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* [b + c] 2/3 + 0 = 2/3
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* [c - b] 0 - 2/3 = -2/3
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* [b - c] 2/3 - 0 = 2/3
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* [c * b] 0 * 2/3 = 0
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* [b * c] 2/3 * 0 = 0
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* [c / b] 0 / 2/3 = 0
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* [b / c] 2/3 / 0 = [На 0 делить нельзя!] 0
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* -a = -3/9
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* [a == b] 3/9 == 2/3 is false
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* [a != b] 3/9 != 2/3 is true
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* [a < b] 3/9 < 2/3 is true
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* [a <= b] 3/9 <= 2/3 is true
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* [a > b] 3/9 > 2/3 is false
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* [a >= b] 3/9 >= 2/3 is false
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* [c == a] 0 == 3/9 is false
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* [c != a] 0 != 3/9 is true
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* [c < a] 0 < 3/9 is true
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* [c <= a] 0 <= 3/9 is true
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* [c > a] 0 > 3/9 is false
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* [c >= a] 0 >= 3/9 is false
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*/
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}
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void ex_4()
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{
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}
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void ex_5()
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{
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}
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