public static BigFraction ReduceFraction(BigFraction a)
{
var num = a.Numerator;
var dem = a.Denominator;
return(new BigFraction {
Numerator = num, Denominator = dem
});
}
private BigFraction GetE(int sequenceNumber, int max)
{
int i;
if (sequenceNumber % 3 == 1 || sequenceNumber % 3 == 0)
{
i = 1;
}
else
{
i = 2 * (1 + sequenceNumber / 3);
}
if (sequenceNumber == max)
{
return new BigFraction {
Numerator = new List <int> {
1
}, Denominator = new List <int> {
i
}
}
}
;
var iFrac = new BigFraction {
Numerator = new List <int> {
i
}, Denominator = new List <int> {
1
}
};
var rest = GetE(sequenceNumber + 1, max);
var sum = BigFraction.AddFraction(iFrac, rest);
sum.Invert();
//if (sum.Numerator % 2 == 0 && sum.Denominator % 2 == 0)
//{
// sum.Numerator /= 2;
// sum.Denominator /= 2;
//}
//if (sequenceNumber % 10 ==9)
//{
// sum = Fraction.ReduceFraction(sum);
//}
return(sum);
}
}
public static BigFraction AddFraction(BigFraction a, BigFraction b)
{
List <int> t1 = DigitsList.Product(a.Numerator, b.Denominator);
List <int> t2 = DigitsList.Product(b.Numerator, a.Denominator);
var num = DigitsList.Sum(t1, t2);
var dem = DigitsList.Product(a.Denominator, b.Denominator);
return(new BigFraction {
Numerator = num, Denominator = dem
});
}
public int GetSumOfDigits(int convergentNumber)
{
// e =[2; 1,2,1,1,4,1,1,6,1,...,1,2k,1,...].
var aseqvence = new BigFraction {
Numerator = new List <int> {
2
}, Denominator = new List <int> {
1
}
};
if (convergentNumber > 1)
{
var a = GetE(1, convergentNumber - 1);
aseqvence = BigFraction.AddFraction(aseqvence, a);
}
aseqvence = BigFraction.ReduceFraction(aseqvence);
//if (aseqvence.Numerator < 0)
// throw new Exception("Numerator <0");
//if (aseqvence.Denominator < 0)
// throw new Exception("Denominator <0");
// var digitsList = DigitsList.ConvertToDigitListe(aseqvence.Numerator);
var digitsList = aseqvence.Numerator;
var sum = digitsList.Sum();
return(sum);
}