/**
* Create a {@link BigFraction} given the numerator and denominator as <code>BigInteger</code>.
* The {@link BigFraction} is reduced to lowest terms.
*
* @param num the numerator, must not be <code>null</code>.
* @param den the denominator, must not be <code>null</code>.
* @throws ArithmeticException if the denominator is <code>zero</code>.
* @throws NullPointerException if the numerator or the denominator is <code>zero</code>.
*/
public BigFraction(BigInteger num, BigInteger den) {
if (num == null) {
throw MathRuntimeException.createNullPointerException("numerator is null");
}
if (den == null) {
throw MathRuntimeException.createNullPointerException("denominator is null");
}
if (BigInteger.ZERO.equals(den)) {
throw MathRuntimeException.createArithmeticException("denominator must be different from 0");
}
if (BigInteger.ZERO.equals(num)) {
numerator = BigInteger.ZERO;
denominator = BigInteger.ONE;
} else {
// reduce numerator and denominator by greatest common denominator
final BigInteger gcd = num.gcd(den);
if (BigInteger.ONE.compareTo(gcd) < 0) {
num = num.divide(gcd);
den = den.divide(gcd);
}
// move sign to numerator
if (BigInteger.ZERO.compareTo(den) > 0) {
num = num.negate();
den = den.negate();
}
// store the values in the final fields
numerator = num;
denominator = den;
}
}
/**
* Create a {@link BigFraction} given the numerator and denominator as {@code BigInteger}. The
* {@link BigFraction} is reduced to lowest terms.
*
* @param num the numerator, must not be {@code null}.
* @param den the denominator, must not be {@code null}.
* @throws ZeroException if the denominator is zero.
* @throws NullArgumentException if either of the arguments is null
*/
public BigFraction(BigInteger num, BigInteger den) {
MathUtils.checkNotNull(num, LocalizedFormats.NUMERATOR);
MathUtils.checkNotNull(den, LocalizedFormats.DENOMINATOR);
if (BigInteger.ZERO.equals(den)) {
throw new ZeroException(LocalizedFormats.ZERO_DENOMINATOR);
}
if (BigInteger.ZERO.equals(num)) {
numerator = BigInteger.ZERO;
denominator = BigInteger.ONE;
} else {
// reduce numerator and denominator by greatest common denominator
final BigInteger gcd = num.gcd(den);
if (BigInteger.ONE.compareTo(gcd) < 0) {
num = num.divide(gcd);
den = den.divide(gcd);
}
// move sign to numerator
if (BigInteger.ZERO.compareTo(den) > 0) {
num = num.negate();
den = den.negate();
}
// store the values in the final fields
numerator = num;
denominator = den;
}
}
/**
* Returns the absolute value of this {@link BigFraction}.
*
* @return the absolute value as a {@link BigFraction}.
*/
public BigFraction abs() {
return (BigInteger.ZERO.compareTo(numerator) <= 0) ? this : negate();
}