public void AddToNumeratorDe(Summand summ, bool index)
{
if(index)
{
Stack_Numerator.Push(summ);
}
else
{
Stack_Denominator.Push(summ);
}
}
public Numerator_Form(Interface_Limit_calculator limit_calc, bool index, string formName)
{
InitializeComponent();
Limits = limit_calc;
SumTextBox.Enabled = false;
All_Functions = new Summand();
SumTextBox.Text = "";
Index = index;
this.Text = formName;
Coefficient_Text.Text = "1.0";
}
private static Summand ConvertToSummand(string stringToParse)
{
Summand summand = new Summand();
summand.Coefficient = FindCoefficient(stringToParse);
summand.PolynomialDegree = FindPolynomialDegree(stringToParse);
var elementaryFunctionList = FindElementaryFunction(stringToParse);
foreach (var function in elementaryFunctionList)
{
summand.Multiplicands.Add(ConvertToElementaryFunction(function));
}
var sumsRaisedToPowerList = FindSumRaisedToPower(stringToParse);
foreach (var sum in sumsRaisedToPowerList)
{
SumRaisedToPower sumRaisedToPower = new SumRaisedToPower();
sumRaisedToPower.Degree = GetSumsRaisedToPowerDegree(sum);
sumRaisedToPower.Sum = Parse(EliminateDegree(sum));
summand.SumsRaisedToPower.Add(sumRaisedToPower);
}
return summand;
}
private static Summand SimpleSummandProduct(Summand s1, Summand s2)
{
var denominator = s1.PolynomialDegreeDenominator * s2.PolynomialDegreeDenominator;
var numerator = s1.PolynomialDegree * s2.PolynomialDegreeDenominator +
s2.PolynomialDegree * s1.PolynomialDegreeDenominator;
var gcd = MathHelper.GreatestCommonDivisor(numerator, denominator);
return new Summand
{
Coefficient = s1.Coefficient * s2.Coefficient,
PolynomialDegree = numerator / gcd,
PolynomialDegreeDenominator = denominator / gcd,
LittleODegree = s1.LittleODegree + s2.LittleODegree
};
}
private static IEnumerable<Summand> ReplaceSummandWithExpansion(Summand summand, int maxTaylorDegree)
{
if (MathHelper.IsZero(summand.Coefficient))
{
return new List<Summand>();
}
if (summand.Multiplicands.Count == 0)
{
return new List<Summand> { summand };
}
var returnedList = summand.Multiplicands[0].ToTaylorExpansion(maxTaylorDegree);
for (var i = 1; i < summand.Multiplicands.Count; i++)
{
var nextExpansion = summand.Multiplicands[i].ToTaylorExpansion(maxTaylorDegree);
returnedList = Distribute(returnedList, nextExpansion);
}
var multiplied =
returnedList.Select(s =>
{
s.Coefficient *= summand.Coefficient;
s.PolynomialDegree += summand.PolynomialDegree * s.PolynomialDegreeDenominator;
var gcd = MathHelper.GreatestCommonDivisor(s.PolynomialDegree, s.PolynomialDegreeDenominator);
s.PolynomialDegree /= gcd;
s.PolynomialDegreeDenominator /= gcd;
return s;
});
return multiplied.OrderBy(s => s.LittleODegree).ThenBy(s => s.PolynomialDegree / (double)s.PolynomialDegreeDenominator);
}
private static IEnumerable<Summand> RaiseSumsToPower(Summand summand)
{
var returned = new List<Summand> { summand };
summand.SumsRaisedToPower.ForEach(
sum => returned = DistributeIncludingElementaryFunctions(returned, RaiseSumToPower(sum)).ToList());
return returned;
}
public void AddToNumeratorDe(Summand summ, bool index)
{
//if (Sum_To_Power.Sum == null)
// Sum_To_Power.Sum = new List<Summand>();
Stack_Sum.Push(summ);
}
