private TFrac Norm(TFrac SimpleFractions)
{
TFrac fractions = SimpleFractions;
if (fractions.Numerator == 0)
{
fractions.Denominator = 1; return(fractions);
}
fractions = Reduction(fractions);
if (NOD(new List <int> {
fractions.Numerator, fractions.Denominator
}) != 0)
{
int nod = NOD(new List <int> {
fractions.Numerator, fractions.Denominator
});
fractions.Numerator /= nod;
fractions.Denominator /= nod;
}
if (fractions.Denominator < 0)
{
fractions.Numerator *= -1;
fractions.Denominator *= -1;
}
return(fractions);
}
/// <summary>
/// Минус
/// </summary>
public TFrac Minus()
{
TFrac otv = this.Copy();
otv.Denominator = this.Denominator;
otv.Numerator = 0 - this.Numerator;
return(otv);
}
/// <summary>
/// Обратное
/// </summary>
public TFrac Reverse()
{
TFrac otv = this.Copy();
otv.Denominator = this.Numerator;
otv.Numerator = this.Denominator;
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>
/// 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>
/// Равно
/// </summary>
public bool Ravn(TFrac d)
{
TFrac otv = Difference(this, d);
if (otv.Numerator == 0)
{
return(true);
}
return(false);
}
/// <summary>
/// Больше
/// </summary>
public bool More(TFrac d)
{
TFrac otv = Difference(this, d);
if ((otv.Numerator > 0 && otv.Denominator > 0) ||
(otv.Numerator < 0 && otv.Denominator < 0))
{
return(true);
}
return(false);
}
/// <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));
}
public TFrac Reduction(TFrac SimpleFractions)
{
TFrac a = SimpleFractions;
if ((SimpleFractions.Denominator < 0 && SimpleFractions.Numerator >= 0) || (SimpleFractions.Numerator < 0 && SimpleFractions.Denominator < 0))
{
SimpleFractions.Numerator *= -1;
SimpleFractions.Denominator *= -1;
}
var nod = NOD(new List <int> {
a.Numerator, a.Denominator
});
if (nod != 1)
{
a.Denominator /= nod;
a.Numerator /= nod;
}
return(a);
}
/// <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));
}