Created
October 2, 2023 09:38
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C++ rational
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#include <iostream> | |
#include <numeric> | |
#include <stdexcept> | |
using namespace std; | |
class Rational { | |
public: | |
Rational() = default; | |
Rational(int value) | |
: numerator_(value) | |
, denominator_(1) { | |
} | |
Rational(int numerator, int denominator) | |
: numerator_(numerator) | |
, denominator_(denominator) | |
{ | |
if(denominator_ == 0){ | |
throw domain_error("Попытка создать дробь с нулевым знаменателем"); | |
} | |
Normalize(); | |
} | |
int Numerator() const { | |
return numerator_; | |
} | |
int Denominator() const { | |
return denominator_; | |
} | |
Rational& operator+=(Rational right) { | |
numerator_ = numerator_ * right.denominator_ + right.numerator_ * denominator_; | |
denominator_ *= right.denominator_; | |
Normalize(); | |
return *this; | |
} | |
Rational& operator-=(Rational right) { | |
numerator_ = numerator_ * right.denominator_ - right.numerator_ * denominator_; | |
denominator_ *= right.denominator_; | |
Normalize(); | |
return *this; | |
} | |
Rational& operator*=(Rational right) { | |
numerator_ *= right.numerator_; | |
denominator_ *= right.denominator_; | |
Normalize(); | |
return *this; | |
} | |
Rational& operator/=(Rational right) { | |
numerator_ *= right.denominator_; | |
denominator_ *= right.numerator_; | |
Normalize(); | |
return *this; | |
} | |
private: | |
void Normalize() { | |
if (denominator_ < 0) { | |
numerator_ = -numerator_; | |
denominator_ = -denominator_; | |
} | |
int n = gcd(numerator_, denominator_); | |
if(denominator_ ==0 || n ==0){ | |
throw invalid_argument("Деление на ноль"); | |
} | |
numerator_ /= n; | |
denominator_ /= n; | |
} | |
int numerator_ = 0; | |
int denominator_ = 1; | |
}; | |
ostream& operator<<(ostream& output, Rational rational) { | |
return output << rational.Numerator() << '/' << rational.Denominator(); | |
} | |
istream& operator>>(istream& input, Rational& rational) { | |
int numerator; | |
int denominator; | |
char slash; | |
if ((input >> numerator) && (input >> slash) && (slash == '/') && (input >> denominator)) { | |
rational = Rational{numerator, denominator}; | |
} | |
return input; | |
} | |
Rational operator+(Rational value) { | |
return value; | |
} | |
Rational operator-(Rational value) { | |
return {-value.Numerator(), value.Denominator()}; | |
} | |
Rational operator+(Rational left, Rational right) { | |
return left += right; | |
} | |
Rational operator-(Rational left, Rational right) { | |
return left -= right; | |
} | |
Rational operator*(Rational left, Rational right) { | |
return left *= right; | |
} | |
Rational operator/(Rational left, Rational right) { | |
return left /= right; | |
} | |
bool operator==(Rational left, Rational right) { | |
return left.Numerator() == right.Numerator() && | |
left.Denominator() == right.Denominator(); | |
} | |
bool operator!=(Rational left, Rational right) { | |
return !(left == right); | |
} | |
bool operator<(Rational left, Rational right) { | |
return left.Numerator() * right.Denominator() < | |
left.Denominator() * right.Numerator(); | |
} | |
bool operator>(Rational left, Rational right) { | |
return left.Numerator() * right.Denominator() > | |
left.Denominator() * right.Numerator(); | |
} | |
bool operator>=(Rational left, Rational right) { | |
return !(left < right); | |
} | |
bool operator<=(Rational left, Rational right) { | |
return !(left > right); | |
} | |
int main() { | |
try { | |
const Rational invalid_value{1, 0}; | |
cout << invalid_value << endl; | |
} catch (const domain_error& e) { | |
cout << "Ошибка: "s << e.what() << endl; | |
} | |
} |
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