#include #include using namespace std; class fraction { private: signed long long n = 0; signed long long d = 1; signed long long gcd (signed long long a, signed long long b) const { if (b == 0) { return a; } return gcd(b, a % b); } int get_precision(double a) { string s = to_string(a); int i = s.length() - 1; while (s[i] == '0'){ i--; } s.erase(i+1,s.length()); bool point = false; int count = 0; for(int i = 0; i < s.length(); i++) { if(s[i] == '.') { point = true; } else { if(point) { count++; } } } return count; } public: // Constructors fraction() { } fraction(const fraction &q) { signed long long hcf = gcd(q.n,q.d); n = q.n / hcf; d = q.d / hcf; } fraction(signed long long a, signed long long b) { signed long long hcf = gcd(a,b); n = a / hcf; d = b / hcf; } fraction(int a, int b) { signed long long hcf = gcd(a,b); n = (signed long long) a / hcf; d = (signed long long) b / hcf; } fraction(int a) { fraction q(a, 1); n = q.n; d = q.d; } fraction(double dec) { if(dec < 0) { dec = dec * (double) -1; } int precision = get_precision(dec); signed long long denominator = 1; for(int i = 0; i < precision; i++) { denominator *= 10; } signed long long numerator = dec * denominator; fraction q(numerator, denominator); n = q.n; d = q.d; } // Member functions int get_sign() const { return (!(n >= 0) != !(d >=0)) ? -1 : 1; } signed long long get_n() const { return n; } signed long long get_d() const { return d; } double to_double() const { double dec = (double) n / (double) d ; return dec; } // Operators fraction operator+(const fraction &that) const { signed long long numerator = this->n * that.d + that.n * this->d; signed long long denominator = this->d * that.d; fraction q(numerator, denominator); return q; } fraction operator-(const fraction &that) const { signed long long numerator = this->n * that.d - that.n * this->d; signed long long denominator = this->d * that.d; fraction q(numerator, denominator); return q; } fraction operator*(const fraction &that) const { signed long long numerator = this->n * that.n; signed long long denominator = this->d * that.d; fraction q(numerator, denominator); return q; } fraction operator*(const int i) const { signed long long numerator = this->n * i; signed long long denominator = this->d; fraction q(numerator, denominator); return q; } fraction operator/(const fraction &that) const { fraction a(this->n,this->d); fraction b(that.d,that.n); return a * b; } friend ostream &operator<<( ostream &os, const fraction &q ) { if( q.d == q.n) { os << 1; } else if(q.d == 1) { os << q.n; } else { os << '(' << q.n << '/' << q.d << ')'; } return os; } void operator=(const fraction &q ) { n = q.n; d = q.d; } void operator=(const int i ) { n = (signed long long) i; d = (signed long long) 1; } void operator=(const double dec ) { const fraction q(dec); n = q.n; d = q.d; } bool operator>(const fraction &q ) const { signed long long hcf = gcd(d,q.d); fraction a(*this * hcf); fraction b(q * hcf); return (a.n > b.n); } bool operator>(const int i ) const { fraction q(i); return (*this > q); } bool operator==(const fraction &q ) const { return ((n == q.n) && (d == q.d) ); } bool operator==(const int i) const { fraction q(i); return (*this == q); } bool operator==(const double dec) const { fraction q(dec); return (*this == q); } bool operator!=(const fraction &q ) const { return ( (n != q.n) || (d != q.d) ); } bool operator!=(const int i) const { fraction q(i); return (*this != q); } bool operator!=(const double dec) const { fraction q(dec); return (*this != q); } };