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fraction.h
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#ifndef FRACTION_H
#define FRACTION_H
#include <QString>
#include <cmath>
#include <gsl/gsl>
class Fraction
{
public:
Fraction()
: _numerator(0)
, _denominator(1) { }
Fraction(long n, long d)
: _numerator(n)
, _denominator(std::abs(d)) { reduce(); }
Fraction(long w, long n, long d)
: _numerator(n + w * d)
, _denominator(std::abs(d)) { reduce(); }
Fraction(long w, const Fraction& f)
: _numerator(f._numerator + w * f._denominator)
, _denominator(f._denominator) { reduce(); }
explicit Fraction(long x)
: _numerator(x)
, _denominator(1) { }
Fraction(const Fraction& f)
: _numerator(f._numerator)
, _denominator(f._denominator) { }
Fraction(Fraction&& f)
: _numerator(f._numerator)
, _denominator(f._denominator) { }
virtual ~Fraction() { }
long numerator() { return _numerator; }
long denominator() { return _denominator; }
Fraction& operator=(const Fraction& f) {
if (&f != this) {
_numerator = f._numerator;
_denominator = f._denominator;
}
return *this;
}
Fraction& operator=(Fraction&& f) {
_numerator = f._numerator;
_denominator = f._denominator;
return *this;
}
Fraction& operator=(const long n) {
Fraction f(n);
return *this = f;
}
Fraction& operator+=(const Fraction f) {
*this = *this + f;
return *this;
}
Fraction operator+=(const long n) { return *this += Fraction(n); }
Fraction& operator-=(const Fraction f) {
*this = *this - f;
return *this;
}
Fraction operator-=(const long n) { return *this += Fraction(n); }
Fraction& operator*=(const Fraction f) {
*this = *this * f;
return *this;
}
Fraction operator*=(const long n) { return *this *= Fraction(n); }
Fraction operator+(const Fraction f) {
long long n1 = _numerator;
long long d1 = _denominator;
long long n2 = f._numerator;
long long d2 = f._denominator;
Fraction fr(gsl::narrow<long>(n1 * d2 + n2 * d1), gsl::narrow<long>(d1 * d2));
fr.reduce();
return fr;
}
Fraction operator+(const long n) { return *this + Fraction(n); }
Fraction operator-(const Fraction f) {
long long n1 = _numerator;
long long d1 = _denominator;
long long n2 = f._numerator;
long long d2 = f._denominator;
Fraction fr(gsl::narrow<long>(n1 * d2 - n2 * d1), gsl::narrow<long>(d1 * d2));
fr.reduce();
return fr;
}
Fraction operator-(const long n) { return *this - Fraction(n); }
Fraction operator*(const Fraction f) {
long long n1 = _numerator;
long long d1 = _denominator;
long long n2 = f._numerator;
long long d2 = f._denominator;
Fraction fr(gsl::narrow<long>(n1 * n2), gsl::narrow<long>(d1 * d2));
fr.reduce();
return fr;
}
Fraction operator*(const long n) { return *this * Fraction(n); }
Fraction operator/(const Fraction f) {
long long n1 = _numerator;
long long d1 = _denominator;
long long n2 = f._numerator;
long long d2 = f._denominator;
Fraction fr(gsl::narrow<long>(n1 * d2), ::abs(gsl::narrow<long>(d1 * n2)));
fr.reduce();
return fr;
}
Fraction operator/(const long n) { return *this / Fraction(n); }
bool operator<(const Fraction f) {
Fraction n = *this - f;
return n._numerator < 0;
}
bool operator<(const long n) { return *this < Fraction(n); }
bool operator<=(const Fraction f) {
Fraction n = *this - f;
return n._numerator <= 0;
}
bool operator<=(const long n) { return *this <= Fraction(n); }
bool operator==(const Fraction f) {
Fraction n = *this - f;
return n._numerator == 0;
}
bool operator==(const long n) { return *this == Fraction(n); }
bool operator!=(const Fraction f) {
Fraction n = *this - f;
return n._numerator != 0;
}
bool operator!=(const long n) { return *this == Fraction(n); }
bool operator>=(const Fraction f) {
Fraction n = *this - f;
return n._numerator >= 0;
}
bool operator>=(const long n) { return *this >= Fraction(n); }
bool operator>(const Fraction f) {
Fraction n = *this - f;
return n._numerator > 0;
}
bool operator>(const long n) { return *this > Fraction(n); }
int toInt(bool down = false) const {
if (down && _denominator % 2 == 0) return (_numerator + (_denominator / 2) - 1) / _denominator;
return (_numerator + (_denominator / 2)) / _denominator;
}
Fraction abs();
QString toString();
private:
long _numerator;
long _denominator;
void reduce();
};
extern long& operator+=(long& x, const Fraction f);
extern long& operator-=(long& x, const Fraction f);
extern long& operator*=(long& x, const Fraction f);
extern Fraction operator+(long x, const Fraction f);
extern Fraction operator-(long x, const Fraction f);
extern bool operator<(long x, const Fraction f);
extern bool operator<=(long x, const Fraction f);
extern bool operator==(long x, const Fraction f);
extern bool operator!=(long x, const Fraction f);
extern bool operator>=(long x, const Fraction f);
extern bool operator>(long x, const Fraction f);
extern Fraction operator*(long x, const Fraction f);
extern Fraction operator/(long x, const Fraction f);
#endif // FRACTION_H