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

typedef long double vtype;
typedef long double etype;

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

etype int_to_exptype(int d){ return (etype)d; }

etype infinity_to_exptype(){ return INFINITY; }

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

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

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

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

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

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

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

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

vtype absolute(vtype d){
	//return fabs(d);
	return fabsl(d);
}

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

double valuetype_to_double(vtype d){ return (double)d; }

int valuetype_to_string(char* s, vtype 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);
	//else sprintf(s,"%+4.3Le",d);
	else sprintf(s,"%4.3Lf",d);
	return 0;
}

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

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

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

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