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/*
*
* Operations sur les scalaires ( rationnels )
*
*/
#include <math.h>
#include <string.h>
#include "scalaires.h"
#include "exceptions.h"
#ifdef HAVE_CONFIG_H
#include "config.h"
#else
#define _(x) x
#endif
#define PRECISION 1E6
typedisplay display=DEC;
static int pgcd(int a, int b)
{
if (a < b)
return pgcd(b, a);
if (!b)
return a;
return pgcd(b, a % b);
}
rationnel rat_constr_zero(void)
{ /* renvoie 0 */
rationnel temp;
temp.num = 0;
temp.denom = 1;
return temp;
}
rationnel rat_constr(int num, int denom)
{ /* cree une fraction */
rationnel temp;
int sgnnum = 1, sgndenom = 1;
if (num < 0) {
sgnnum = -1;
num = -num;
}
if (denom < 0) {
sgndenom = -1;
denom = -denom;
}
if (!num) {
temp.num = 0;
temp.denom = 1;
} else if (denom) {
temp.num = sgnnum * sgndenom * num / pgcd(num, denom);
temp.denom = denom / pgcd(num, denom);
} else {
exception(2, _("rat_constr: division by zero"));
}
return temp;
}
rationnel rat_constr_from_double(double flt)
{ /* cree une fraction a partir d un double */
return rat_constr(floor(flt * PRECISION), PRECISION);
}
void rat_destruct(rationnel rat)
{ /* destructeur */
}
double rat_to_double(rationnel rat)
{ /* obtention du double correspondant a un rationnel */
return ((double) rat.num / (double) rat.denom);
}
rationnel rat_addition(rationnel rat1, rationnel rat2)
{ /* addition */
return rat_constr(rat1.num * rat2.denom + rat2.num * rat1.denom, rat1.denom * rat2.denom);
}
rationnel rat_soustraction(rationnel rat1, rationnel rat2)
{ /* soustraction */
return rat_constr(rat1.num * rat2.denom - rat2.num * rat1.denom, rat1.denom * rat2.denom);
}
rationnel rat_moinsunaire(rationnel rat1)
{ /* moins unaire */
return rat_constr(-rat1.num, rat1.denom);
}
rationnel rat_multiplication(rationnel rat1, rationnel rat2)
{ /* multiplication */
return rat_constr(rat1.num * rat2.num, rat1.denom * rat2.denom);
}
rationnel rat_division(rationnel rat1, rationnel rat2)
{ /* division */
if (!rat2.num)
exception(2,_("division by zero"));
return rat_constr(rat1.num * rat2.denom, rat1.denom * rat2.num);
}
char *rat_to_string(rationnel rat, int first)
{
static char resultat[128];
char temp[64];
resultat[0] = '\0';
if (rat.num<0) {
rat.num=-rat.num;
if (first) {
strcat(resultat,"-");
} else {
strcat(resultat,"- ");
}
} else {
if (!first) {
strcat(resultat,"+ ");
}
}
switch(display) {
case DEC:
if (rat.denom==1)
sprintf(temp,"%d", rat.num);
else
sprintf(temp,"%d/%d", rat.num, rat.denom);
break;
case HEX:
if (rat.denom==1)
sprintf(temp,"0x%x", rat.num);
else
sprintf(temp,"0x%x/0x%x", rat.num, rat.denom);
break;
case OCT:
if (rat.denom==1)
sprintf(temp,"0%o", rat.num);
else
sprintf(temp,"0%o/0%o", rat.num, rat.denom);
break;
case FLT:
sprintf(temp,"%g", rat_to_double(rat));
break;
}
strcat(resultat, temp);
return resultat;
}
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