/// <summary>
/// Произведение
/// </summary>
public TFrac Multiplication(TFrac a, TFrac b)
{
TFrac otv = a.Copy();
otv.Denominator = a.Denominator * b.Denominator;
otv.Numerator = a.Numerator * b.Numerator;
return(otv);
}
/// <summary>
/// Деление
/// </summary>
public TFrac Division(TFrac a, TFrac b)
{
TFrac otv = a.Copy();
otv.Denominator = a.Denominator * b.Numerator;
otv.Numerator = a.Numerator * b.Denominator;
return(Norm(otv));
}
/// <summary>
/// Сумма
/// </summary>
public TFrac Add(TFrac b)
{
TFrac otv = b.Copy();
if (this.Denominator == b.Denominator)
{
otv.denominator = this.Denominator;
otv.numerator = this.Numerator + b.Numerator;
}
else
{
int nok = NOK(Convert.ToInt32(this.Denominator), Convert.ToInt32(b.Denominator));
otv.denominator = nok;
otv.numerator = this.Numerator * (nok / this.Denominator) + b.Numerator * (nok / b.Denominator);
}
return(Norm(otv));
}
/// <summary>
/// Разность
/// </summary>
public TFrac Difference(TFrac A, TFrac B)
{
//if (A.Numerator == 0) return Multiplication(Norm(B), new TFrac(-1, 1));
if (B.Numerator == 0)
{
return(Norm(A));
}
TFrac otv = A.Copy();
TFrac a = Norm(A), b = Norm(B);
if (a.Denominator == b.Denominator)
{
otv.Denominator = a.Denominator;
otv.Numerator = a.Numerator - b.Numerator;
}
else
{
int nok = NOK(Convert.ToInt32(a.Denominator), Convert.ToInt32(b.Denominator));
otv.Denominator = nok;
otv.Numerator = a.Numerator * (nok / a.Denominator) - b.Numerator * (nok / b.Denominator);
}
return(Norm(otv));
}
