rational.c File Reference

#include "rational.h"
#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
#include <string.h>
#include <assert.h>

Functions
long	gcd (long x, long y)
	Greatest common divisor: Lame's method.
Rational	Rational_normalize (Rational x)
	Remove common factors from numerator and denominator. More...
Rational	Rational_set (long num, long den)
	Set value, normalize.
Rational	Rational_add (Rational x, Rational y)
	Add.
Rational	Rational_sub (Rational x, Rational y)
	Subtract.
Rational	Rational_neg (Rational x)
	Negate.
Rational	Rational_inv (Rational x)
	Invert.
Rational	Rational_mul (Rational x, Rational y)
	Multiply Before multiplying, this function first removes the greatest common divisor of (x.num, y.den) and (x.den, y.num). More...
Rational	Rational_div (Rational x, Rational y)
	Divide.
void	Rational_pr (Rational x, FILE *fp)
	Print.
int	Rational_eq (Rational x, Rational y)
	Return 1 if x and y are equal, 0 otherwise.
long double	Rational_ldbl (Rational x)
	Convert to long double.
double	Rational_dbl (Rational x)
	Convert to double.

Function Documentation

Rational_mul()

Rational Rational_mul	(	Rational	x,
		Rational	y
	)

Multiply Before multiplying, this function first removes the greatest common divisor of (x.num, y.den) and (x.den, y.num).

This reduces the chance of an integer overflow. No comparable reduction is done to the numerator and denominator of x or of y, because I assume they are already in normal form.

References gcd(), and Rational_normalize().

Rational_normalize()

Rational Rational_normalize

(

Rational

x

)

Remove common factors from numerator and denominator.

Make denominator positive.

References gcd().

Referenced by Rational_add(), Rational_div(), Rational_mul(), Rational_set(), and Rational_sub().