#pragma once
//
//    FILE: fraction.h
//  AUTHOR: Rob Tillaart
// VERSION: 0.1.13
// PURPOSE: Arduino library to implement a Fraction datatype
//     URL: https://github.com/RobTillaart/Fraction
//


#include "Arduino.h"

#define FRACTION_LIB_VERSION        (F("0.1.13"))


class Fraction: public Printable
{
public:
    explicit Fraction(double);
    explicit Fraction(float);
    Fraction(int32_t, int32_t);

    explicit Fraction(int32_t p)   : n(p), d(1) {}
    explicit Fraction(int16_t p)   : n(p), d(1) {}
    explicit Fraction(int8_t p)    : n(p), d(1) {}
    explicit Fraction(uint32_t p)  : n(p), d(1) {}
    explicit Fraction(uint16_t p)  : n(p), d(1) {}
    explicit Fraction(uint8_t p)   : n(p), d(1) {}
    Fraction(const Fraction &f) : n(f.n), d(f.d) {}

    size_t printTo(Print& p) const;

    // equalities
    bool operator == (const Fraction&);
    // bool operator == (const float&);
    bool operator != (const Fraction&);
    bool operator >  (const Fraction&);
    bool operator >= (const Fraction&);
    bool operator <  (const Fraction&);
    bool operator <= (const Fraction&);

    // negation
    Fraction operator - ();

    // basic maths
    Fraction operator + (const Fraction&);
    Fraction operator - (const Fraction&);
    Fraction operator * (const Fraction&);
    Fraction operator / (const Fraction&);

    Fraction& operator += (const Fraction&);
    Fraction& operator -= (const Fraction&);
    Fraction& operator *= (const Fraction&);
    Fraction& operator /= (const Fraction&);


    float   toDouble();
    float   toFloat()   { return toDouble(); };
    bool    isProper();   // abs(f) < 1
    float   toAngle();


    int32_t  nominator() { return n; };
    int32_t  denominator() { return d; };


    static Fraction mediant(const Fraction&, const Fraction&);
    static Fraction middle(const Fraction&, const Fraction&);


    // approximate a fraction with defined denominator
    static Fraction setDenominator(const Fraction&, uint16_t);


protected:
    void    split(float);
    void    simplify();
    void    fractionize(float);
    int32_t gcd(int32_t, int32_t);

    int32_t n;
    int32_t d;
};


// -- END OF FILE --