Initial commit

Miscellaneous/CRational.cpp

@@ -0,0 +1,146 @@
+#include <bits/stdc++.h>
+
+using namespace std;
+
+// int gcd(int m, int n)
+// {
+//     while (n != 0)
+//     {
+//         int t = m % n;
+//         m = n;
+//         n = t;
+//     }
+//     return m;
+// }
+
+class Rational {
+private:
+	int numerator;
+	int denominator;
+
+public:
+	Rational(int num, int den);
+	friend ostream &operator<<(ostream &output, const Rational &r);
+	Rational operator+(const Rational &r) const;
+	Rational operator-(const Rational &r) const;
+	Rational operator*(const Rational &r) const;
+	Rational operator/(const Rational &r) const;
+	bool operator==(const Rational &r) const;
+	bool operator>(const Rational &r) const;
+	Rational operator~() const;
+	Rational operator!() const;
+};
+
+Rational::Rational(int num, int den) {
+	numerator = num;
+	denominator = den;
+	if (numerator == 0 && denominator == 0)
+		;
+	else if (numerator == 0)
+		denominator = 1;
+	else if (denominator == 0)
+		numerator = 1;
+	else {
+		int _gcd = gcd(numerator, denominator);
+		numerator /= _gcd;
+		denominator /= _gcd;
+		if (denominator < 0) {
+			numerator *= -1;
+			denominator *= -1;
+		}
+	}
+}
+
+ostream &operator<<(ostream &output, const Rational &r) {
+	if (r.numerator == 0 && r.denominator == 0)
+		output << "NaN";
+	else if (r.denominator == 0)
+		output << "Inf";
+	else
+		output << r.numerator << " / " << r.denominator;
+	return output;
+}
+
+Rational Rational::operator+(const Rational &r) const {
+	int num, den;
+	if (numerator != 0 && r.numerator != 0 && denominator == 0 && r.denominator == 0) {
+		num = 1;
+		den = 0;
+	}
+	else {
+		num = numerator * r.denominator + r.numerator * denominator;
+		den = denominator * r.denominator;
+	}
+	return Rational(num, den);
+}
+
+Rational Rational::operator-(const Rational &r) const {
+	int num = numerator * r.denominator - r.numerator * denominator;
+	int den = denominator * r.denominator;
+	return Rational(num, den);
+}
+
+Rational Rational::operator*(const Rational &r) const {
+	int num = numerator * r.numerator;
+	int den = denominator * r.denominator;
+	return Rational(num, den);
+}
+
+Rational Rational::operator/(const Rational &r) const {
+	int num, den;
+	if (denominator == 0 && r.denominator == 0) {
+		num = 0;
+		den = 0;
+	}
+	else {
+		num = numerator * r.denominator;
+		den = r.numerator * denominator;
+	}
+	return Rational(num, den);
+}
+
+bool Rational::operator==(const Rational &r) const {
+	return numerator == r.numerator && denominator == r.denominator;
+}
+
+bool Rational::operator>(const Rational &r) const {
+	return 1.0 * numerator / denominator > 1.0 * r.numerator / r.denominator;
+}
+
+Rational Rational::operator~() const {
+	return Rational(-numerator, denominator);
+}
+
+Rational Rational::operator!() const {
+	int num = denominator, den = numerator;
+	if (den < 0) {
+		num *= -1;
+		den *= -1;
+	}
+	return Rational(num, den);
+}
+
+int main() {
+	char c;
+	int num1, den1, num2, den2;
+	cout << "r1 = ";
+	cin >> num1 >> c >> den1;
+	cout << "r2 = ";
+	cin >> num2 >> c >> den2;
+	Rational r1(num1, den1), r2(num2, den2);
+	cout << "r1 + r2 = " << r1 + r2 << endl
+		 << "r1 - r2 = " << r1 - r2 << endl
+		 << "r1 * r2 = " << r1 * r2 << endl
+		 << "r1 / r2 = " << r1 / r2 << endl
+		 << "~r1 = " << ~r1 << ", "
+		 << "~r2 = " << ~r2 << endl
+		 << "!r1 = " << !r1 << ", "
+		 << "!r2 = " << !r2 << endl;
+	if (r1 == r2)
+		cout << "r1 == r2" << endl;
+	else if (r1 > r2)
+		cout << "r1 > r2" << endl;
+	else
+		cout << "r1 < r2" << endl;
+	return 0;
+}