GenerateChebyshevFirstKindSamplePoints(
double a,
double b,
int numberOfPoints)
{
return(ChebyshevFirstKindPolynomialInterpolation.GenerateSamplePoints(a, b, numberOfPoints));
}
CreateOnChebyshevFirstKindPoints(
double leftBound,
double rightBound,
IList <double> values)
{
ChebyshevFirstKindPolynomialInterpolation method = new ChebyshevFirstKindPolynomialInterpolation();
method.Init(leftBound, rightBound, values);
return(method);
}
/// <summary>
/// Create a polynomial interpolation based on Chebyshev (first kind) points, that is, "t(i) = 0.5*(b+a) + 0.5*(b-a)*cos(Pi*(2*i+1)/(2*n))".
/// </summary>
/// <param name="leftBound">The left (smallest) sample point t bound.</param>
/// <param name="rightBound">The right (biggest) sample point t bound.</param>
/// <param name="values">The sample point values x(t). Supports both lists and arrays.</param>
/// <returns>
/// An interpolation scheme optimized for the given sample points and values,
/// which can then be used to compute interpolations and extrapolations
/// on arbitrary points.
/// </returns>
public static IInterpolationMethod CreateOnChebyshevFirstKindPoints(
double leftBound,
double rightBound,
IList<double> values)
{
ChebyshevFirstKindPolynomialInterpolation method = new ChebyshevFirstKindPolynomialInterpolation();
method.Init(leftBound, rightBound, values);
return method;
}
