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| 1 | #include <iostream> | |
| 2 | #include <numeric> | |
| 3 | ||
| 4 | using namespace std; | |
| 5 | ||
| 6 | class Rational {
| |
| 7 | public: | |
| 8 | Rational() = default; | |
| 9 | ||
| 10 | Rational(int value) | |
| 11 | : numerator_(value) | |
| 12 | , denominator_(1) {
| |
| 13 | } | |
| 14 | ||
| 15 | Rational(int numerator, int denominator) | |
| 16 | : numerator_(numerator) | |
| 17 | , denominator_(denominator) | |
| 18 | {
| |
| 19 | Normalize(); | |
| 20 | } | |
| 21 | ||
| 22 | int Numerator() const {
| |
| 23 | return numerator_; | |
| 24 | } | |
| 25 | ||
| 26 | int Denominator() const {
| |
| 27 | return denominator_; | |
| 28 | } | |
| 29 | ||
| 30 | Rational& operator+=(Rational right) {
| |
| 31 | numerator_ = numerator_ * right.denominator_ + right.numerator_ * denominator_; | |
| 32 | denominator_ *= right.denominator_; | |
| 33 | Normalize(); | |
| 34 | return *this; | |
| 35 | } | |
| 36 | ||
| 37 | Rational& operator-=(Rational right) {
| |
| 38 | numerator_ = numerator_ * right.denominator_ - right.numerator_ * denominator_; | |
| 39 | denominator_ *= right.denominator_; | |
| 40 | Normalize(); | |
| 41 | return *this; | |
| 42 | } | |
| 43 | ||
| 44 | Rational& operator*=(Rational right) {
| |
| 45 | numerator_ *= right.numerator_; | |
| 46 | denominator_ *= right.denominator_; | |
| 47 | Normalize(); | |
| 48 | return *this; | |
| 49 | } | |
| 50 | ||
| 51 | Rational& operator/=(Rational right) {
| |
| 52 | if(right.numerator_==0){
| |
| 53 | throw invalid_argument("divisor is zero"s);
| |
| 54 | } | |
| 55 | numerator_ *= right.denominator_; | |
| 56 | denominator_ *= right.numerator_; | |
| 57 | Normalize(); | |
| 58 | return *this; | |
| 59 | } | |
| 60 | ||
| 61 | private: | |
| 62 | void Normalize() {
| |
| 63 | if (denominator_ < 0) {
| |
| 64 | numerator_ = -numerator_; | |
| 65 | denominator_ = -denominator_; | |
| 66 | } | |
| 67 | int n = gcd(numerator_, denominator_); | |
| 68 | numerator_ /= n; | |
| 69 | denominator_ /= n; | |
| 70 | } | |
| 71 | ||
| 72 | int numerator_ = 0; | |
| 73 | int denominator_ = 1; | |
| 74 | }; | |
| 75 | ||
| 76 | ostream& operator<<(ostream& output, Rational rational) {
| |
| 77 | return output << rational.Numerator() << '/' << rational.Denominator(); | |
| 78 | } | |
| 79 | ||
| 80 | istream& operator>>(istream& input, Rational& rational) {
| |
| 81 | int numerator; | |
| 82 | int denominator; | |
| 83 | char slash; | |
| 84 | if ((input >> numerator) && (input >> slash) && (slash == '/') && (input >> denominator)) {
| |
| 85 | rational = Rational{numerator, denominator};
| |
| 86 | } | |
| 87 | return input; | |
| 88 | } | |
| 89 | ||
| 90 | // Unary plus and minus | |
| 91 | ||
| 92 | Rational operator+(Rational value) {
| |
| 93 | return value; | |
| 94 | } | |
| 95 | ||
| 96 | Rational operator-(Rational value) {
| |
| 97 | return {-value.Numerator(), value.Denominator()};
| |
| 98 | } | |
| 99 | ||
| 100 | // Binary arithmetic operations | |
| 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 | // Comparison operators | |
| 119 | ||
| 120 | bool operator==(Rational left, Rational right) {
| |
| 121 | return left.Numerator() == right.Numerator() && | |
| 122 | left.Denominator() == right.Denominator(); | |
| 123 | } | |
| 124 | ||
| 125 | bool operator!=(Rational left, Rational right) {
| |
| 126 | return !(left == right); | |
| 127 | } | |
| 128 | ||
| 129 | bool operator<(Rational left, Rational right) {
| |
| 130 | return left.Numerator() * right.Denominator() < | |
| 131 | left.Denominator() * right.Numerator(); | |
| 132 | } | |
| 133 | ||
| 134 | bool operator>(Rational left, Rational right) {
| |
| 135 | return left.Numerator() * right.Denominator() > | |
| 136 | left.Denominator() * right.Numerator(); | |
| 137 | } | |
| 138 | ||
| 139 | bool operator>=(Rational left, Rational right) {
| |
| 140 | return !(left < right); | |
| 141 | } | |
| 142 | ||
| 143 | bool operator<=(Rational left, Rational right) {
| |
| 144 | return !(left > right); | |
| 145 | } | |
| 146 | ||
| 147 | int main() {
| |
| 148 | try {
| |
| 149 | const Rational three_fifth{3, 5};
| |
| 150 | const Rational zero; | |
| 151 | cout << three_fifth << " / " << zero << " = " << (three_fifth / zero) << endl; | |
| 152 | } catch (const invalid_argument& e) {
| |
| 153 | cout << "Ошибка: "s << e.what() << endl; | |
| 154 | } | |
| 155 | try {
| |
| 156 | Rational value{3, 5};
| |
| 157 | value /= Rational(); | |
| 158 | // Следующая строка не должна выполниться | |
| 159 | cout << value << endl; | |
| 160 | } catch (const invalid_argument& e) {
| |
| 161 | cout << "Ошибка: "s << e.what() << endl; | |
| 162 | } | |
| 163 | } | |
| 164 |