/// <summary>
/// Calculation of the nth root of a number by the Newton method with a given accuracy
/// </summary>
/// <param name="radicalSign"></param>
/// <returns></returns>
public double CalculateRadicalSignByMethodNewton(IRadicalSign radicalSign)
{
var currentRadical = ComputeRadicalWithAccuracy(radicalSign);
radicalSign.SetResult(currentRadical);
return(currentRadical);
}
private double CalculateCurrentRadical(IRadicalSign radicalSign, double previousRadical)
{
double currentRadical;
var power = Exponentiation(previousRadical, radicalSign.GetPower() - 1);
var a = 1.0 / radicalSign.GetPower();
var b = (radicalSign.GetPower() - 1.0) * previousRadical + radicalSign.GetNumericalRoot() / power;
currentRadical = a * b;
return(currentRadical);
}
private double ComputeRadicalWithAccuracy(IRadicalSign radicalSign)
{
double delta;
var step = 1;
var previousRadical = 1.0;
var currentRadical = 1.0;
do
{
if (step > 1)
{
previousRadical = currentRadical;
}
xNext = (1.0 / radicalSign.GetPower()) * ((radicalSign.GetPower() - 1.0) * xPrev + radicalSign.GetNumericalRoot() / Exponentiation(xPrev, (radicalSign.GetPower() - 1)));
step = 2;
delta = Math.Abs(xPrev - xNext);
} while (delta > radicalSign.GetAccuracy());
return(delta);
}
public double MathPow(IRadicalSign radicalSign)
{
var result = Math.Pow(radicalSign.GetResult(), radicalSign.GetPower());
return(result);
}
