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https://github.com/RobTillaart/Arduino.git
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86 lines
2.2 KiB
C++
86 lines
2.2 KiB
C++
#pragma once
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//
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// FILE: fraction.h
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// AUTHOR: Rob Tillaart
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// VERSION: 0.2.0
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// PURPOSE: Arduino library to implement a Fraction data type
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// URL: https://github.com/RobTillaart/Fraction
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#include "Arduino.h"
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#define FRACTION_LIB_VERSION (F("0.2.0"))
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class Fraction
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{
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public:
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explicit Fraction(double);
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explicit Fraction(float);
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Fraction(int32_t = 0, int32_t = 1); // default zero constructor
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// CONSTRUCTORS
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explicit Fraction(int32_t p) : n(p), d(1) {}
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explicit Fraction(int16_t p) : n(p), d(1) {}
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explicit Fraction(int8_t p) : n(p), d(1) {}
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explicit Fraction(uint32_t p) : n(p), d(1) {}
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explicit Fraction(uint16_t p) : n(p), d(1) {}
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explicit Fraction(uint8_t p) : n(p), d(1) {}
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Fraction(const Fraction &f) : n(f.n), d(f.d) {}
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// EQUALITIES
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bool operator == (const Fraction&);
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// bool operator == (const float&);
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bool operator != (const Fraction&);
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bool operator > (const Fraction&);
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bool operator >= (const Fraction&);
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bool operator < (const Fraction&);
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bool operator <= (const Fraction&);
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// NEGATE
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Fraction operator - ();
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// BASIC MATH
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Fraction operator + (const Fraction&);
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Fraction operator - (const Fraction&);
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Fraction operator * (const Fraction&);
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Fraction operator / (const Fraction&);
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Fraction& operator += (const Fraction&);
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Fraction& operator -= (const Fraction&);
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Fraction& operator *= (const Fraction&);
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Fraction& operator /= (const Fraction&);
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// CONVERSION and PRINTING
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double toDouble();
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float toFloat();
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String toString();
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bool isProper(); // abs(f) < 1
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bool isInteger(); // d == 1
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float toAngle();
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int32_t nominator();
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int32_t denominator();
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// MISCELLANEOUS (static)
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static Fraction mediant(const Fraction&, const Fraction&);
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static Fraction middle(const Fraction&, const Fraction&);
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// approximate a fraction with defined denominator
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static Fraction setDenominator(const Fraction&, uint16_t);
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protected:
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void split(float);
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void simplify();
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void fractionize(float);
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int32_t gcd(int32_t, int32_t);
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int32_t n;
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int32_t d;
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};
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// -- END OF FILE --
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