#ifndef RATIO_H
#define RATIO_H

#include <stdbool.h>

typedef struct {bool s; unsigned long long n; unsigned long long d;} rational;

rational int_to_valuetype(int);

unsigned int int_to_exptype(unsigned int);

bool is_greater_certainly(rational,rational);

bool is_greater_possibly(rational,rational);

rational maximum(rational,rational);

rational sum(rational,rational);

rational difference(rational,rational);

rational product(rational,rational);

rational ratio(rational,rational);

rational absolute(rational);

rational power(rational,unsigned int);

double valuetype_to_double(rational);

double exptype_to_double(int);

int valuetype_to_string(char*,rational r);

int valuetype_to_latex(char*,rational r);

int root_to_string(char*,rational r,unsigned int);

int root_to_latex(char*,rational r,unsigned int);

#endif