/// <summary>
/// Evaluate a complex Chebyshev polynomial on an interval, given the coefficients.
/// </summary>
/// <param name="cs">The coefficients to consider.</param>
/// <param name="z">The complex evaluation argument.</param>
/// <returns>The value.</returns>
public static ScalarValue ChebEval(ChebSeries cs, ScalarValue z)
{
var d = ScalarValue.Zero;
var dd = ScalarValue.Zero;
var y = (2.0 * z - cs.LowerPoint - cs.UpperPoint) / (cs.UpperPoint - cs.LowerPoint);
var y2 = 2.0 * y;
for (var j = cs.Order; j >= 1; j--)
{
var temp = d;
d = y2 * d - dd + cs.Coefficients[j];
dd = temp;
}
return(y * d - dd + 0.5 * cs.Coefficients[0]);
}
/// <summary>
/// Evaluate a real Chebyshev polynomial on an interval, given the coefficients.
/// </summary>
/// <param name="cs">The coefficients to consider.</param>
/// <param name="x">The real evaluation argument.</param>
/// <returns>The value.</returns>
public static Double ChebEval(ChebSeries cs, Double x)
{
var d = 0.0;
var dd = 0.0;
var y = (2.0 * x - cs.LowerPoint - cs.UpperPoint) / (cs.UpperPoint - cs.LowerPoint);
var y2 = 2.0 * y;
for (var j = cs.Order; j >= 1; j--)
{
var temp = d;
d = y2 * d - dd + cs.Coefficients[j];
dd = temp;
}
return(y * d - dd + 0.5 * cs.Coefficients[0]);
}
/// <summary>
/// Evaluate a real Chebyshev polynomial on an interval, given the coefficients.
/// </summary>
/// <param name="cs">The coefficients to consider.</param>
/// <param name="x">The real evaluation argument.</param>
/// <returns>The value.</returns>
public static double ChebEval(ChebSeries cs, double x)
{
int j;
double d = 0.0;
double dd = 0.0;
double y = (2.0 * x - cs.LowerPoint - cs.UpperPoint) / (cs.UpperPoint - cs.LowerPoint);
double y2 = 2.0 * y;
for (j = cs.Order; j >= 1; j--)
{
double temp = d;
d = y2 * d - dd + cs.Coefficients[j];
dd = temp;
}
return(y * d - dd + 0.5 * cs.Coefficients[0]);
}
/// <summary>
/// Evaluate a complex Chebyshev polynomial on an interval, given the coefficients.
/// </summary>
/// <param name="cs">The coefficients to consider.</param>
/// <param name="z">The complex evaluation argument.</param>
/// <returns>The value.</returns>
public static ScalarValue ChebEval(ChebSeries cs, ScalarValue z)
{
var d = ScalarValue.Zero;
var dd = ScalarValue.Zero;
var y = (2.0 * z - cs.LowerPoint - cs.UpperPoint) / (cs.UpperPoint - cs.LowerPoint);
var y2 = 2.0 * y;
for (var j = cs.Order; j >= 1; j--)
{
var temp = d;
d = y2 * d - dd + cs.Coefficients[j];
dd = temp;
}
return y * d - dd + 0.5 * cs.Coefficients[0];
}
/// <summary>
/// Evaluate a real Chebyshev polynomial on an interval, given the coefficients.
/// </summary>
/// <param name="cs">The coefficients to consider.</param>
/// <param name="x">The real evaluation argument.</param>
/// <returns>The value.</returns>
public static Double ChebEval(ChebSeries cs, Double x)
{
var d = 0.0;
var dd = 0.0;
var y = (2.0 * x - cs.LowerPoint - cs.UpperPoint) / (cs.UpperPoint - cs.LowerPoint);
var y2 = 2.0 * y;
for (var j = cs.Order; j >= 1; j--)
{
var temp = d;
d = y2 * d - dd + cs.Coefficients[j];
dd = temp;
}
return y * d - dd + 0.5 * cs.Coefficients[0];
}
