Rational.h

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#ifndef PBAT_MATH_RATIONAL_H
#define PBAT_MATH_RATIONAL_H
 
#include "PhysicsBasedAnimationToolkitExport.h"
 
#include <cstdint>
#include <pbat/Aliases.h>
#include <tuple>
 
namespace pbat {
namespace math {

struct PBAT_API Rational
{
    Rational();
    template <std::integral Integer>
    Rational(Integer _a, Integer _b)
        : a(static_cast<std::int64_t>(_a)), b(static_cast<std::int64_t>(_b))
    {
    }

    template <std::integral Integer>
    Rational(Integer value) : a(static_cast<std::int64_t>(value)), b(1)
    {
    }

    Rational operator+(Rational const& other) const;
    Rational operator-(Rational const& other) const;
    Rational operator-() const;
    Rational operator*(Rational const& other) const;
    Rational operator/(Rational const& other) const;
    bool operator==(Rational const& other) const;
    bool operator<(Rational const& other) const;
    bool Rebase(std::int64_t denominator);
    explicit operator double() const;
    explicit operator float() const;
    void simplify();
 
    std::int64_t a; 
    std::int64_t b; 
};

template <std::integral Integer>
inline Rational operator-(Integer a, Rational const& b)
{
    return (-b) + a;
}

template <std::integral Integer>
inline Rational operator+(Integer a, Rational const& b)
{
    return b + a;
}

template <std::integral Integer>
inline Rational operator*(Integer a, Rational const& b)
{
    return b * a;
}

template <std::integral Integer>
inline Rational operator/(Integer a, Rational const& b)
{
    return Rational{a} / b;
}
 
} // namespace math
} // namespace pbat
 
#endif // PBAT_MATH_RATIONAL_H