/// <summary>
/// 数字のみの数式を計算する
/// </summary>
/// <param name="f">計算式</param>
/// <returns>計算結果</returns>
public static async Task <double> SolveNumFormula(string f)
{
f = LaTeXtoFormula(f);
//monos:単項式ごとに分けられたもの
var monos = OperateBrackets.FindMonomials(f).ToList();
monos.Remove("");
var resmonos = new double[0];
resmonos = await monos.Select(async (mono) =>
{
if (double.TryParse(mono, out double num))//単項式が数字だけなら先に返してしまう
{
return(num);
}
else
{
//括弧に隣接する加減算記号を数字として扱う
mono = Regex.Replace(mono, "(\\+|\\-)\\(", "${1}1(");
mono = Regex.Replace(mono, "(\\+|\\-)\\#", "${1}1*#");
var bmap = OperateBrackets.MapingBrackets(mono);
//括弧が足りない場合は補完
if (bmap.Last() - bmap.First() > 0)
{
mono += new string(')', bmap.Last() - bmap.First());
bmap = bmap.ToList().Concat(Enumerable.Range(0, bmap.Last() - bmap.First()).Reverse()).ToArray();
}
//括弧が正常な時の処理
if (bmap.First() == bmap.Last())
{
//演算子で区切る(累乗以外)、括弧はそのまま残す
var splitted = OperateBrackets.SplitByOperators(mono);
//累乗を計算する
while (splitted.Any(x => x.First() == '^'))
{
var n = splitted.LastOrDefault(x => x.First() == '^');
int index = splitted.LastIndexOf(n);
if (index > 0)
{
string pastn = splitted[index - 1];
double pastfigure = 1;
double nowfigure = 1;
char opera = '*';
if (pastn.First() == '*' ||
pastn.First() == '/' ||
pastn.First() == '^')
{
opera = pastn.First();
if (!double.TryParse(pastn.Substring(1), out pastfigure))
{
pastfigure = await SolveNumFormula(pastn.Substring(2, pastn.Length - 3));
}
if (!double.TryParse(n.Substring(1), out nowfigure))
{
nowfigure = await SolveNumFormula(n.Substring(2, n.Length - 3));
}
}
else
{
if (!double.TryParse(pastn, out pastfigure))
{
pastfigure = await SolveNumFormula(pastn.Substring(1, pastn.Length - 2));
}
if (!double.TryParse(n.Substring(1), out nowfigure))
{
nowfigure = await SolveNumFormula(n.Substring(2, n.Length - 3));
}
}
splitted.RemoveAt(index);
splitted.RemoveAt(index - 1);
splitted.Insert(index - 1, opera + Math.Pow(pastfigure, nowfigure).ToString());
}
else
{
throw new Exception("累乗でのエラー");
}
}
List <double> Numres = new List <double> {
};
//各項を処理する
foreach (string r in splitted)
{
string s = r;
//最初に"*"がついていたら消す
if (s.First() == '*')
{
s = s.Substring(1);
}
bool IsInverse = false;
if (s.First() == '/')
{
IsInverse = true;
//最初の"/"を消す
s = s.Substring(1);
}
if (s.First() == '#')//関数がある時
{
string funkname = Regex.Replace(s, "^#\\$(([a-z|A-Z]|π)*)\\$#.*", "$1");
string inBracket = Regex.Replace(s, "^#\\$([a-z|A-Z]|π)*\\$#\\((.*)\\)$", "$2");
int[] inbracketmap = OperateBrackets.MapingBrackets(inBracket);
string CommaedinBracket = inBracket;
int lug = 0;
for (int i = 0; i < inBracket.Length; i++)
{
if (inBracket[i] == ',' && inbracketmap[i] == 0)
{
CommaedinBracket = CommaedinBracket.Insert(i + lug++, ",");
}
}
List <double> inBracketValues = (await CommaedinBracket.Split(new string[1] {
",,"
}, StringSplitOptions.None)
.Select(async(x) => await SolveNumFormula(x))
.WhenAll()).ToList();
if (IsInverse)
{
Numres.Add(1 / await FuncItemService.RunFunc(inBracketValues, funkname));
}
else
{
Numres.Add(await FuncItemService.RunFunc(inBracketValues, funkname));
}
}
else if (s.First() == '(')//括弧に囲まれたものの時
{
if (IsInverse)
{
Numres.Add(1 / await SolveNumFormula(s.Substring(1, s.Length - 2)));
}
else
{
Numres.Add(await SolveNumFormula(s.Substring(1, s.Length - 2)));
}
}
else//数字のみの時
{
if (IsInverse)
{
Numres.Add(1 / double.Parse(s));
}
else
{
Numres.Add(double.Parse(s));
}
}
}
return(Numres.Aggregate((now, next) => now *next));
}
else
{
throw new Exception(AppResources.BracketsWrong);
}
}
}).WhenAll();
return(resmonos.Sum());
}
/// <summary>
/// 括弧のある式を展開
/// </summary>
/// <param name="f">括弧のある式</param>
/// <returns>括弧のない多項式</returns>
private async static Task <Formula> Expand(string f)
{
//-{文字列}のときは -1{文字列}に直す
f = Regex.Replace(f, "-([a-z|A-Z]|\\()", "-1$1");
//単項式に分割
var fs = OperateBrackets.FindMonomials(f).ToList();
//単項式ごとに処理
List <Formula> mf = (await fs.Select(async(m) =>
{
if (m.First() == '*')
{
m.Substring(1);
}
if (Monomial.IsMonomial(m))
{
return(new Formula(await Monomial.CreateByStr(m)));
}
else
{
//括弧に隣接する加減算記号を数字として扱う
m = Regex.Replace(m, "(\\+|\\-)\\(", "${1}1(");
var bmap = OperateBrackets.MapingBrackets(m);
if (bmap.First() - bmap.Last() > 0)
{
throw new Exception(AppResources.BracketsWrong);
}
//括弧が足りない場合は補完
if (bmap.Last() - bmap.First() > 0)
{
m += new string(')', bmap.Last() - bmap.First());
bmap = bmap.ToList().Concat(
Enumerable.Range(0, bmap.Last() - bmap.First()).Reverse()
).ToArray();
}
//中身のない括弧を消す
m = Regex.Replace(m, "\\(\\)", "");
if (m.Length == 0)
{
return((Formula)0);
}
//括弧が一致したとき
if (bmap.First() == bmap.Last())
{
//前に演算子がついていないときは乗算記号をつける
if (!Regex.IsMatch(m.First().ToString(), "^(\\*|/|\\^|\\()$"))
{
m = m.Insert(0, "*");
}
//累乗を処理
if (m.Contains("^"))
{
m = await ExpandPowAsync(m);
}
//扱いやすい単位まで分割
var splitteds = OperateBrackets.SplitByOperators(m);
var Numerator = new List <Formula> {
};
var Denominator = new List <Formula> {
};
foreach (string splitted in splitteds)
{
if (splitted.Length == 0)
{
continue;
}
var splt = splitted;
if (splt.First() == '*')
{
splt = splt.Substring(1);
}
var IsDenom = splt.First() == '/';
if (IsDenom)
{
splt = splt.Substring(1);
}
switch (splt.First())
{
case '(':
if (IsDenom)
{
Denominator.Add(await Expand(splt.Substring(1, splt.Length - 2)));
}
else
{
Numerator.Add(await Expand(splt.Substring(1, splt.Length - 2)));
}
break;
default:
if (IsDenom)
{
Denominator.Add(await Expand(splt));
}
else
{
Numerator.Add(await Expand(splt));
}
break;
}
}
if (Numerator.Count() == 0)
{
Numerator.Add((Formula)1);
}
if (Denominator.Count() == 0)
{
Denominator.Add((Formula)1);
}
return(Numerator.Aggregate((now, next) => now * next) / Denominator.Aggregate((now, next) => now * next));
}
else
{
throw new Exception(AppResources.BracketsDontMatch);
}
}
}).WhenAll()).ToList();
return(mf.Aggregate((now, next) => now + next));
}