/*
  Copyright (c) 2019 Alex Diener
  
  This software is provided 'as-is', without any express or implied
  warranty. In no event will the authors be held liable for any damages
  arising from the use of this software.
  
  Permission is granted to anyone to use this software for any purpose,
  including commercial applications, and to alter it and redistribute it
  freely, subject to the following restrictions:
  
  1. The origin of this software must not be misrepresented; you must not
     claim that you wrote the original software. If you use this software
     in a product, an acknowledgment in the product documentation would be
     appreciated but is not required.
  2. Altered source versions must be plainly marked as such, and must not be
     misrepresented as being the original software.
  3. This notice may not be removed or altered from any source distribution.
  
  Alex Diener alex@ludobloom.com
*/

#ifndef __IntegerFraction_H__
#define __IntegerFraction_H__
#ifdef __cplusplus
extern "C" {
#endif

typedef struct ifrac {
	int numerator;
	unsigned int denominator;
} ifrac;

#define IFRAC(numerator, denominator) ((ifrac) {numerator, denominator})

// Extracts numerator and denominator from IEEE-754 floating point number
ifrac ifrac_fromFloat(float value);

// Whole number represented by the fraction
int ifrac_wholeValue(ifrac fraction);

// Numerator as if the whole number was 0
int ifrac_fractionalNumerator(ifrac fraction);

// Floating point representation of the entire number
float ifrac_floatValue(ifrac fraction);

// Floating point representation of only the fractional part of the number
float ifrac_floatFraction(ifrac fraction);

// Divides numerator and denominator by their greatest common divisor
ifrac ifrac_reduce(ifrac fraction);

// ifrac_reduce is called on results from all of these functions
ifrac ifrac_add(ifrac lhs, ifrac rhs);
ifrac ifrac_sub(ifrac lhs, ifrac rhs);
ifrac ifrac_mul(ifrac lhs, ifrac rhs);
ifrac ifrac_div(ifrac lhs, ifrac rhs);
ifrac ifrac_addScalar(ifrac lhs, unsigned int rhs);
ifrac ifrac_subScalar(ifrac lhs, unsigned int rhs);
ifrac ifrac_mulScalar(ifrac lhs, unsigned int rhs);
ifrac ifrac_divScalar(ifrac lhs, unsigned int rhs);

// Compares the relative value of lhs and rhs, returning -1 if lhs is lesser, 1 if lhs is greater, and 0 if lhs and rhs are equivalent
int ifrac_cmp(ifrac lhs, ifrac rhs);

#ifdef __cplusplus
}
#endif
#endif