/// <summary>
/// Returns the string which represents this polynomial.
/// </summary>
/// <returns>The string which represents this polynomial.</returns>
public override string ToString()
{
if (CoefficientsOrg.Count == 0)
{
return("0");
}
var monomialsQuery = CoefficientsOrg
.OrderByDescending(c => c.Key)
.Select((c, i) => ToMonomialString(c.Key, c.Value, i == 0));
return(string.Join("", monomialsQuery));
}
/// <summary>
/// Gets the coefficient for the specified index.
/// </summary>
/// <param name="index">The index of the variable.</param>
/// <returns>The coefficient for the specified index.</returns>
public double this[int index]
{
get { return(CoefficientsOrg.ContainsKey(index) ? CoefficientsOrg[index] : 0); }
}
/// <summary>
/// Substitutes the specified value into this polynomial.
/// </summary>
/// <param name="value">The value to substitute.</param>
/// <returns>The calculated value.</returns>
public double Substitute(double value)
{
return(CoefficientsOrg.Sum(c => c.Value * Math.Pow(value, c.Key)));
}
