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| 1 | #include <iostream> | |
| 2 | #include <numeric> | |
| 3 | #include <stdexcept> | |
| 4 | #include <string> | |
| 5 | ||
| 6 | using namespace std; | |
| 7 | ||
| 8 | class Rational {
| |
| 9 | public: | |
| 10 | Rational() = default; | |
| 11 | ||
| 12 | Rational(int value) | |
| 13 | : numerator_(value) | |
| 14 | , denominator_(1) {
| |
| 15 | } | |
| 16 | ||
| 17 | Rational(int numerator, int denominator) | |
| 18 | : numerator_(numerator) | |
| 19 | , denominator_(denominator) {
| |
| 20 | if(denominator == 0){
| |
| 21 | throw domain_error("Error");
| |
| 22 | } | |
| 23 | Normalize(); | |
| 24 | } | |
| 25 | ||
| 26 | int Numerator() const {
| |
| 27 | return numerator_; | |
| 28 | } | |
| 29 | ||
| 30 | int Denominator() const {
| |
| 31 | return denominator_; | |
| 32 | } | |
| 33 | ||
| 34 | Rational& operator+=(Rational right) {
| |
| 35 | numerator_ = numerator_ * right.denominator_ + right.numerator_ * denominator_; | |
| 36 | denominator_ *= right.denominator_; | |
| 37 | Normalize(); | |
| 38 | return *this; | |
| 39 | } | |
| 40 | ||
| 41 | Rational& operator-=(Rational right) {
| |
| 42 | numerator_ = numerator_ * right.denominator_ - right.numerator_ * denominator_; | |
| 43 | denominator_ *= right.denominator_; | |
| 44 | Normalize(); | |
| 45 | return *this; | |
| 46 | } | |
| 47 | ||
| 48 | Rational& operator*=(Rational right) {
| |
| 49 | numerator_ *= right.numerator_; | |
| 50 | denominator_ *= right.denominator_; | |
| 51 | Normalize(); | |
| 52 | return *this; | |
| 53 | } | |
| 54 | ||
| 55 | Rational& operator/=(Rational right) {
| |
| 56 | if (right.numerator_ == 0) {
| |
| 57 | throw invalid_argument("Division by zero");
| |
| 58 | } | |
| 59 | numerator_ *= right.denominator_; | |
| 60 | denominator_ *= right.numerator_; | |
| 61 | Normalize(); | |
| 62 | return *this; | |
| 63 | } | |
| 64 | ||
| 65 | private: | |
| 66 | void Normalize() {
| |
| 67 | if (denominator_ < 0) {
| |
| 68 | numerator_ = -numerator_; | |
| 69 | denominator_ = -denominator_; | |
| 70 | } | |
| 71 | int n = gcd(numerator_, denominator_); | |
| 72 | numerator_ /= n; | |
| 73 | denominator_ /= n; | |
| 74 | } | |
| 75 | ||
| 76 | int numerator_ = 0; | |
| 77 | int denominator_ = 1; | |
| 78 | }; | |
| 79 | ||
| 80 | ostream& operator<<(ostream& output, Rational rational) {
| |
| 81 | return output << rational.Numerator() << '/' << rational.Denominator(); | |
| 82 | } | |
| 83 | ||
| 84 | istream& operator>>(istream& input, Rational& rational) {
| |
| 85 | int numerator; | |
| 86 | int denominator; | |
| 87 | char slash; | |
| 88 | if ((input >> numerator) && (input >> slash) && (slash == '/') && (input >> denominator)) {
| |
| 89 | rational = Rational{numerator, denominator};
| |
| 90 | } | |
| 91 | return input; | |
| 92 | } | |
| 93 | ||
| 94 | Rational operator+(Rational value) {
| |
| 95 | return value; | |
| 96 | } | |
| 97 | ||
| 98 | Rational operator-(Rational value) {
| |
| 99 | return {-value.Numerator(), value.Denominator()};
| |
| 100 | } | |
| 101 | ||
| 102 | Rational operator+(Rational left, Rational right) {
| |
| 103 | return left += right; | |
| 104 | } | |
| 105 | ||
| 106 | Rational operator-(Rational left, Rational right) {
| |
| 107 | return left -= right; | |
| 108 | } | |
| 109 | ||
| 110 | Rational operator*(Rational left, Rational right) {
| |
| 111 | return left *= right; | |
| 112 | } | |
| 113 | ||
| 114 | Rational operator/(Rational left, Rational right) {
| |
| 115 | return left /= right; | |
| 116 | } | |
| 117 | ||
| 118 | bool operator==(Rational left, Rational right) {
| |
| 119 | return left.Numerator() == right.Numerator() && left.Denominator() == right.Denominator(); | |
| 120 | } | |
| 121 | ||
| 122 | bool operator!=(Rational left, Rational right) {
| |
| 123 | return !(left == right); | |
| 124 | } | |
| 125 | ||
| 126 | bool operator<(Rational left, Rational right) {
| |
| 127 | return left.Numerator() * right.Denominator() < left.Denominator() * right.Numerator(); | |
| 128 | } | |
| 129 | ||
| 130 | bool operator>(Rational left, Rational right) {
| |
| 131 | return left.Numerator() * right.Denominator() > left.Denominator() * right.Numerator(); | |
| 132 | } | |
| 133 | ||
| 134 | bool operator>=(Rational left, Rational right) {
| |
| 135 | return !(left < right); | |
| 136 | } | |
| 137 | ||
| 138 | bool operator<=(Rational left, Rational right) {
| |
| 139 | return !(left > right); | |
| 140 | } | |
| 141 | ||
| 142 | // ========== для примера ======== | |
| 143 | ||
| 144 | int main() {
| |
| 145 | try {
| |
| 146 | // При попытке сконструировать дробь с нулевым знаменателем | |
| 147 | // должно выброситься исключение domain_error | |
| 148 | const Rational invalid_value{1, 0};
| |
| 149 | // Следующая строка не должна выполниться | |
| 150 | cout << invalid_value << endl; | |
| 151 | } catch (const domain_error& e) {
| |
| 152 | cout << "Ошибка: "s << e.what() << endl; | |
| 153 | } | |
| 154 | } | |
| 155 |