| public static AreApproximatelyEqual ( double value1, double value2 ) : bool | ||
| value1 | double | |
| value2 | double | |
| return | bool | |
// (a * x + b) ^ n
public static IEnumerable <Summand> RaiseLineToPowerWithBinomialExpansion(double a, double b, int n)
{
if (n == 0)
{
return(new List <Summand>
{
new Summand
{
Coefficient = 1.0
}
});
}
if (MathHelper.AreApproximatelyEqual(b, 0))
{
return(new List <Summand>
{
new Summand
{
PolynomialDegree = n,
Coefficient = MathHelper.FastPow(a, n)
}
});
}
var returned = Enumerable.Range(0, n + 1).Select(k => new Summand
{
PolynomialDegree = k,
Coefficient = MathHelper.BinomialCoefficient(n, k) * MathHelper.FastPow(a, k) * MathHelper.FastPow(b, n - k)
});
return(returned);
}
public bool Equals(Summand x, Summand y)
{
return(x.LittleODegree == y.LittleODegree &&
MathHelper.AreApproximatelyEqual(x.PolynomialDegree, y.PolynomialDegree));
}