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Copy pathFraction.cpp
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166 lines (129 loc) · 4.21 KB
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#include "Fraction.h"
int gcd (int a, int b) {
if (a == b) return a;
if (a > b) {
return gcd(a - b, b);
} else {
return gcd(b - a, a);
}
}
int lcm (int a, int b) {
return abs(a / gcd(a, b) * b);
}
// ---------------------------------------
void Fraction::reduce() {
int gcdV = gcd(abs(numerator), denominator);
if (gcdV == 1) return;
numerator /= gcdV;
denominator /= gcdV;
}
Fraction::Fraction(int numerator, int denominator) : numerator(numerator), denominator(denominator) {
reduce();
}
Fraction::Fraction(const Fraction &ref) {
set(ref);
reduce();
}
int Fraction::getNumerator() const {
return numerator;
}
void Fraction::setNumerator(int numerator) {
this->numerator = numerator;
reduce();
}
int Fraction::getDenominator() const {
return denominator;
}
void Fraction::setDenominator(int denominator) {
this->denominator = denominator;
reduce();
}
void Fraction::set(int numerator, int denominator) {
this->numerator = numerator;
this->denominator = denominator;
reduce();
}
void Fraction::set(const Fraction &that) {
numerator = that.numerator;
denominator = that.denominator;
}
// ---------------------------------------
Fraction operator+(const Fraction &_this, const Fraction &that) {
int lcmV = lcm(_this.denominator, that.denominator);
return {(_this.numerator * lcmV / _this.denominator) + (that.numerator * lcmV / that.denominator), lcmV};
}
Fraction operator-(const Fraction &_this, const Fraction &that) {
int lcmV = lcm(_this.denominator, that.denominator);
return {(_this.numerator * lcmV / _this.denominator) - (that.numerator * lcmV / that.denominator), lcmV};
}
Fraction operator*(const Fraction &_this, const Fraction &that) {
return {_this.numerator * that.numerator, _this.denominator * that.denominator};
}
Fraction operator/(const Fraction &_this, const Fraction &that) {
return {_this.numerator * that.denominator, _this.denominator * that.numerator};
}
bool operator==(const Fraction &_this, const Fraction &that) {
return _this.denominator == that.denominator && _this.numerator == that.numerator;
}
bool operator<(const Fraction &_this, const Fraction &that) {
int lcmV = lcm(_this.denominator, that.denominator);
return (_this.numerator * lcmV / _this.denominator) < (that.numerator * lcmV / that.denominator);
}
bool operator>(const Fraction &_this, const Fraction &that) {
return !(_this <= that);
}
bool operator<=(const Fraction &_this, const Fraction &that) {
int lcmV = lcm(_this.denominator, that.denominator);
return (_this.numerator * lcmV / _this.denominator) <= (that.numerator * lcmV / that.denominator);
}
bool operator>=(const Fraction &_this, const Fraction &that) {
return !(_this < that);
}
Fraction operator~(const Fraction &_this) {
return {_this.denominator, _this.numerator};
}
Fraction& operator++(Fraction &_this) {
_this.numerator += _this.denominator;
return _this;
}
Fraction& operator--(Fraction &_this) {
_this.numerator -= _this.denominator;
return _this;
}
Fraction operator++(Fraction &_this, int x) {
Fraction res(_this.numerator + _this.denominator, _this.denominator);
_this.numerator += _this.denominator;
return res;
}
Fraction operator--(Fraction &_this, int x) {
Fraction res(_this.numerator - _this.denominator, _this.denominator);
_this.numerator -= _this.denominator;
return res;
}
Fraction& operator+=(Fraction &_this, const Fraction &that) {
_this.set(_this + that);
return _this;
}
Fraction& operator-=(Fraction &_this, const Fraction &that) {
_this.set(_this - that);
return _this;
}
Fraction& operator*=(Fraction &_this, const Fraction &that) {
_this.set(_this * that);
return _this;
}
Fraction& operator/=(Fraction &_this, const Fraction &that) {
_this.set(_this / that);
return _this;
}
std::ostream& operator<<(std::ostream &os, const Fraction &fraction) {
os << "[" << fraction.numerator << "/" << fraction.denominator << "]";
return os;
}
std::istream& operator>>(std::istream &is, Fraction &fraction) {
std::cout << "Numerator:";
is >> fraction.numerator;
std::cout << " Denominator:";
is >> fraction.denominator;
return is;
}