public static Polynomial operator *(Polynomial a, Polynomial b)
{
uint maxPower = a.MaxPower + b.MaxPower;
List<Mononomial> mononomials = new List<Mononomial>();
foreach (var mononomialA in a.Mononomials)
{
foreach (var mononomialB in b.Mononomials)
{
decimal tempCoeff = mononomialA.Coefficient;
tempCoeff *= mononomialB.Coefficient;
uint tempPow = mononomialA.Power + mononomialB.Power;
mononomials.Add(new Mononomial(tempCoeff, tempPow));
}
}
mononomials = mononomials.Where(x => x != null).ToList();
string literal = (a.Literal == b.Literal) ? b.Literal : a.Literal + b.Literal;
Polynomial result = new Polynomial(literal);
result.AddMononomials(mononomials);
return result;
}
static void Main(string[] args)
{
Polynomial a;
Polynomial b;
a = new Polynomial("x");
a.AddMononomial(new Mononomial(4, 2));
a.AddMononomial(new Mononomial(-3, 1));
a.AddMononomial(new Mononomial(2, 0));
b = new Polynomial("x");
b.AddMononomial(new Mononomial(5, 2));
b.AddMononomial(new Mononomial(2, 1));
b.AddMononomial(new Mononomial(-7, 0));
PrintResult(a, b, Operation.Addition);
a = new Polynomial("x");
a.AddMononomial(new Mononomial(8, 2));
a.AddMononomial(new Mononomial(2, 1));
b = new Polynomial("x");
b.AddMononomial(new Mononomial(10, 2));
b.AddMononomial(new Mononomial(2, 1));
b.AddMononomial(new Mononomial(-9, 0));
PrintResult(a, b, Operation.Substraction);
a = new Polynomial("x");
a.AddMononomial(new Mononomial(3, 1));
a.AddMononomial(new Mononomial(2, 0));
b = new Polynomial("x");
b.AddMononomial(new Mononomial(9, 2));
b.AddMononomial(new Mononomial(-6, 1));
b.AddMononomial(new Mononomial(4, 0));
PrintResult(a, b, Operation.Multiplication);
}
private static void PrintResult(Polynomial a, Polynomial b, Operation operation)
{
Console.WriteLine("A = " + a);
Console.WriteLine("B = " + b);
switch (operation)
{
case Operation.Addition:
Console.WriteLine("A + B = " + (a + b) + Environment.NewLine);
break;
case Operation.Substraction:
Console.WriteLine("A - B = " + (a - b) + Environment.NewLine);
break;
case Operation.Multiplication:
Console.WriteLine("A * B = " + (a * b) + Environment.NewLine);
break;
default:
break;
}
}
public static Polynomial operator -(Polynomial a, Polynomial b)
{
Polynomial negativeB = new Polynomial(b.Literal);
foreach (var mononomial in b.Mononomials)
{
negativeB.AddMononomial(new Mononomial(-mononomial.Coefficient, mononomial.Power));
}
Polynomial result = a + negativeB;
return result;
}
public static Polynomial operator +(Polynomial a, Polynomial b)
{
if (!a.HasAnyMononomials() || !b.HasAnyMononomials())
{
throw new ArgumentNullException("polynomial", "Both polynomials must have at least one mononomial.");
}
uint maxPower = Math.Max(a.MaxPower, b.MaxPower);
List<Mononomial> mononomials = new List<Mononomial>();
for (uint pow = 0; pow <= maxPower; pow++)
{
decimal tempCoeff = 0.0m;
tempCoeff += a.Mononomials.Where(x => x.Power == pow).Select(x => x.Coefficient).ToArray().Sum();
tempCoeff += b.Mononomials.Where(x => x.Power == pow).Select(x => x.Coefficient).ToArray().Sum();
mononomials.Add(new Mononomial(tempCoeff, pow));
}
mononomials = mononomials.Where(x => x != null).ToList();
string literal = (a.Literal == b.Literal) ? b.Literal : a.Literal + b.Literal;
Polynomial result = new Polynomial(literal);
result.AddMononomials(mononomials);
return result;
}
