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#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);
unsigned int infinity_to_exptype();
bool exptype_is_infinite(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);
int exptype_to_string(char*,unsigned int);
int exptype_to_latex(char*,unsigned 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
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