/// <summary>
/// Normalize according to folowing rules
/// a) if there is a minus sign it will remain only in numerator
/// b) if there is common divisor, both numerator and denominator are divided by this common divisor
/// </summary>
/// <returns></returns>
public Rational <T, TPolicy> Normalize()
{
if (Policy.IsOne(Denominator))
{
return(this);
}
if (Policy.IsZero(Numerator))
{
return(new Rational <T, TPolicy>(Policy.Zero(), Policy.One()));
}
var n = Numerator;
var d = Denominator;
if ((Policy.IsBelowZero(n) && Policy.IsBelowZero(d)) || Policy.IsBelowZero(d))
{
n = Policy.Negate(n);
d = Policy.Negate(d);
}
var gcd = Policy.Gcd(Policy.Abs(n), d);
if (!Policy.IsOne(gcd))
{
n = Policy.Div(n, gcd);
d = Policy.Div(d, gcd);
}
return(new Rational <T, TPolicy>(n, d));
}