public async static Task <List <Complex> > SolveEquation(string f)
{
Formula formula = await ExpandFormula.ExpandCharFormula(f);
//数式に分母がないことを確認
if (!(formula.DenMonof.IsOne() || formula.IsZero()))
{
//Util.Trace.WriteLine(formula.DenMonof[0].GetString());
throw new Exception(AppResources.TooComplicatedX);
}
var chars = formula.GetCharDics();
//変数が一つのみであることを確認
if (chars.Count() != 1)
{
throw new Exception(AppResources.ManyOrFewVariables);
}
var target = chars.First().Key;
//変数が関数やルートの中にないことを確認
if (formula.GetTargetCharInfo(target).NumMonof.Any(x => x.NumFuncs.Count() != 0 ||
x.DenFuncs.Count() != 0 ||
x.NthRoots.Count() != 0 ||
x.Recipchara.Count() != 0))
{
try
{
var resforms = await SolveAbout.SolveAboutX(formula, new Formula(new List <Monomial> {
}), 'x');
if (resforms.Count() != 0 && resforms.All(x => x.IsDouble()))
{
return((await resforms.Select(async x => new Complex(await x.ToDouble(), 0.0)).WhenAll()).ToList());
}
else
{
throw new Exception();
}
}
catch
{
throw new Exception(AppResources.TooComplicatedX);
}
}
var monos = formula.NumMonof;
var maxDegree = monos.Max(x => x.Character.ContainsKey(target) ? x.Character[target] : 0);
var Coefficients = Enumerable.Repeat(0.0, maxDegree + 1).ToList();
foreach (var m in monos)
{
if (!m.Character.ContainsKey(target))
{
Coefficients[0] = m.Number.ToDouble();
}
else
{
Coefficients[m.Character[target]] = m.Number.ToDouble();
}
}
return(SolveEquation(Coefficients));
}
/// <summary>
/// 多項式(ExpandFormula.ExpandCharFormulaしてから代入)
/// </summary>
/// <param name="f">式</param>
public async static Task <Formula> CreateByStr(string f)
{
return(await ExpandFormula.ExpandCharFormula(f));
}