public void Solve()
{
double a, b, c;
if (!DegreeCheck())
{
return;
}
if (Degree == 0)
{
SolutionType = SolutionTypes.Any;
return;
}
EquationParser.SetCoefficients(out a, out b, out c, ref _equation);
Steps.Add($"[Reading coefficients]\t\ta = {a}, b = {b}, c = {c}");
if (a == 0)
{
if (c == 0)
{
Roots.Add("0");
}
else
{
SolveLinear(b, c);
}
return;
}
Discriminant = b * b - 4 * a * c;
Steps.Add($"[Calculating discriminant]\tD = b^2 - 4ac = {b}^2 - 4 * {a} * {c} = {Discriminant}");
if (Discriminant >= 0)
{
SolveQuadratic(a, b);
}
else
{
SolveComplex(a, b);
}
}
private bool DegreeCheck()
{
var match = Regex.Match(_equation, @"x\^\-");
if (match.Success)
{
throw new Exception("reduced form should not contain negative powers of x.\n" + _equation + "\n" +
"^".PadLeft(match.Index + 1));
}
Degree = EquationParser.GetPolynomialDegree(_equation);
if (Degree < 0 || Degree > 2)
{
throw new Exception("polynomial degree should be in range of [0, 2].");
}
if (Degree == 0 && (_equation.Length != 3 || _equation[0] != _equation[2]))
{
SolutionType = SolutionTypes.None;
return(false);
}
return(true);
}