#include "double.h"
#include <stdlib.h>
#include <math.h>
#include <stdio.h>
#include <stdbool.h>

double int_to_valuetype(int i){ return (double) i; }

double int_to_exptype(double d){ return d; }

double infinity_to_exptype(){ return INFINITY; }

bool exptype_is_infinite(double d){ return d==INFINITY; }

double sum(double d1, double d2){ return d1+d2; }

double difference(double d1, double d2){ return d1-d2; }

bool is_greater_certainly(double d1, double d2){ return (d1 > d2); }

bool is_greater_possibly(double d1, double d2){ return is_greater_certainly(d1,d2); }

double maximum(double d1, double d2){
	if(d1>d2) return d1;
	else return d2;
}

double product(double d1, double d2){ return d1*d2; }

double ratio(double d1, double d2){ return d1/d2; }

double absolute(double d){ return fabs(d); }

double power(double d, double p) { return pow(d,p); }

double valuetype_to_double(double d){ return d; }

int valuetype_to_string(char* s, double d){
	if( d == 0.0 || d == 1.0 || d == 2.0 || d == 4.0 || d == 8.0 || d == 16.0 ) sprintf(s,"%d", (int)d);
	else sprintf(s,"%4.3f",d);
	return 0;
}

int valuetype_to_latex(char* s, double d){ return valuetype_to_string(s,d); }

int exptype_to_string(char *s, double p){ 
	if(exptype_is_infinite(p)){
		sprintf(s,"inf");
		return 0;
	}
	else return valuetype_to_string(s,p);
}

int exptype_to_latex(char *s, double p){
	if(exptype_is_infinite(p)){
		sprintf(s,"\\infty");
		return 0;
	}
	else return valuetype_to_latex(s,p);
}

int root_to_string(char* s, double d, double p){
	if(exptype_is_infinite(p)) valuetype_to_string(s,d);
	else valuetype_to_string(s,pow(d,1.0/p));
	return 0;
}

int root_to_latex(char* s, double d, double p){
	if(exptype_is_infinite(p)) valuetype_to_latex(s,d);
	else valuetype_to_latex(s,pow(d,1.0/p));
	return 0;
}