public void TestTokenizer14()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Number, "1"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.Operator, "-"),
GenerateTestToken(TokenType.Number, "3"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "4"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Number, "5"),
GenerateTestToken(TokenType.Operator, "^"),
GenerateTestToken(TokenType.Number, "6"),
GenerateTestToken(TokenType.Operator, "^"),
GenerateTestToken(TokenType.Number, "7"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "8"),
GenerateTestToken(TokenType.Operator, "-"),
GenerateTestToken(TokenType.Number, "9"),
};
var arrResult = MathExpressionTokenizer.Tokenize("1 + 2 - 3*4 + 5^6^7*8 - 9", true).ToArray();
var arrResultT = MathExpressionTokenizer.Tokenize("1 + 2 - 3 4 + 5^6^7*8 - 9", true).ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
Assert.IsTrue(arrResultT.SequenceEqual(arrResult));
}
/// <summary>
/// Filtert einen mathematischen Ausdruck oder Term.
/// </summary>
/// <param name="tokens">Ein Token-Iterator mit den einzelnen Teilen des mathematischen Ausdruckes</param>
/// <param name="tokenizer">Der <see cref="MathExpressionTokenizer"/>, der den Term zuvor geparst hat.</param>
/// <returns>Ein neuer Token-Iterator, der es ermöglicht über den gefilterten Term zu iterieren.</returns>
public IEnumerable <Token> PostProcessTokens(IEnumerable <Token> tokens)
{
Queue <Token> lastTokens = new Queue <Token>(3);
foreach (Token t in tokens)
{
lastTokens.Enqueue(t);
if (lastTokens.Count == 3)
{
Token t1 = lastTokens.Dequeue();
Token t2 = lastTokens.Dequeue();
Token t3 = lastTokens.Dequeue();
if (t1.Type == TokenType.Number && t2.Type == TokenType.DecimalSeparator && t3.Type == TokenType.Number)
{
yield return(MathExpressionTokenizer.GetModifiedToken(t1, t1.Value + t2.Value + t3.Value));
}
else
{
yield return(t1);
lastTokens.Enqueue(t2);
lastTokens.Enqueue(t3);
}
}
}
while (lastTokens.Count > 0)
{
yield return(lastTokens.Dequeue());
}
}
public void TestTokenizer08()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Number, "253"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Variable, "x"),
GenerateTestToken(TokenType.Operator, "-"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Function, "tan"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "5"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "5"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "3"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.Operator, "/"),
GenerateTestToken(TokenType.Variable, "y"),
};
var arrResult = MathExpressionTokenizer.Tokenize("253 * x-(tan(5 5) 3) / y", true, "x", "y").ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
public void TestTokenizer05()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Function, "sqrt"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "9"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "9"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Function, "sqrt"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.ArgumentSeparator, ","),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.ArgumentSeparator, ","),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.Operator, "="),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "9"),
GenerateTestToken(TokenType.Parenthesis, ")"),
};
var arrResult = MathExpressionTokenizer.Tokenize("sqrt(9*9 + sqrt(2)) = (9 )", true).ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
public void TestTokenizer16()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Function, "sqrt"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Variable, "a"),
GenerateTestToken(TokenType.Operator, "^"),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.ArgumentSeparator, ","),
GenerateTestToken(TokenType.Number, "3"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.Operator, "/"),
GenerateTestToken(TokenType.Variable, "a"),
GenerateTestToken(TokenType.Operator, "^"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "1"),
GenerateTestToken(TokenType.Operator, "/"),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.Parenthesis, ")"),
};
var arrResult = MathExpressionTokenizer.Tokenize("sqrt(a^2, 3) / a^(1/2)", true, "a").ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
public void MathExpressionTokenizer_Can_Tokenize_Modulus()
{
var tokenizer = new MathExpressionTokenizer();
var result = tokenizer.Tokenize("4%2");
Assert.AreEqual(3, result.Count);
Assert.AreEqual(TokenType.Modulus, result[1].Type);
}
private Token GenerateTestToken(TokenType tt, string strValue)
{
if (tt == TokenType.Variable)
{
return(MathExpressionTokenizer.GetVariableToken(strValue));
}
return(MathExpressionTokenizer.GetModifiedToken(MathExpressionTokenizer.GetToken(tt), strValue));
}
public void WordRewriter_Will_Detect_And_Rewrite_Functions()
{
MathExpressionTokenizer tokenizer = new MathExpressionTokenizer();
var tokens = tokenizer.Tokenize("sqrt(1)");
WordRewriter rewriter = new WordRewriter();
var result = rewriter.Rewrite(tokens);
Assert.AreEqual(TokenType.Function, result[0].Type);
Assert.AreEqual("sqrt", result[0].Value);
}
public void MathExpressionTokenizer_Can_Tokenize_Float_Values_With_Dot()
{
var tokenizer = new MathExpressionTokenizer();
var result = tokenizer.Tokenize("3.23+1");
Assert.AreEqual(3, result.Count);
Assert.AreEqual(TokenType.Numeric, result[0].Type);
Assert.AreEqual(3.23D, result[0].Value);
Assert.AreEqual(TokenType.Addition, result[1].Type);
Assert.AreEqual(TokenType.Numeric, result[2].Type);
Assert.AreEqual(1D, result[2].Value);
}
public void TestTokenizer15()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Number, "5"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Number, "-5"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Number, "5"),
};
var arrResult = MathExpressionTokenizer.Tokenize("5 +-5+ 5", true).ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
public void TestTokenizer11()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Number, "1.2042"),
GenerateTestToken(TokenType.Operator, "-"),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "0"),
};
var arrResult = MathExpressionTokenizer.Tokenize("+1.2042 -2 0", true).ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
private void FormatChild(StringBuilder builder, int iIndex)
{
if (this[iIndex].RecursiveCount() > 1 && this[iIndex].Type != TokenType.Function &&
MathExpressionTokenizer.GetToken(Value)?.Precedence >= TokenPrecedence.Multiplication)
{
builder.Append("(");
builder.Append(this[iIndex]);
builder.Append(")");
}
else
{
builder.Append(this[iIndex]);
}
}
/// <summary>
/// Ergänzt die Wissensbasis anhand einer Datenbank.
/// </summary>
/// <param name="strFile">Die Datei, welche die Datenbank enthält.</param>
public static void LoadKnowledgeBaseFromFile(string strFile)
{
try
{
XmlDocument doc = new XmlDocument();
doc.Load(strFile);
XmlNode root = doc.DocumentElement;
if (root?.Name != "knowledgebase")
{
return;
}
XmlNode xmlRules = root.SelectSingleNode("tokens");
if (xmlRules == null || !xmlRules.HasChildNodes ||
!(xmlRules.SelectNodes("token") is XmlNodeList listTokens))
{
return;
}
foreach (XmlNode node in listTokens)
{
XmlNode xmlType = node.SelectSingleNode("type");
XmlNode xmlValue = node.SelectSingleNode("value");
XmlNode xmlAssociativity = node.SelectSingleNode("associativity");
XmlNode xmlPrecendence = node.SelectSingleNode("precedence");
if (xmlType != null && xmlValue != null && xmlAssociativity != null && xmlPrecendence != null &&
Enum.TryParse(typeof(TokenType), xmlType.InnerText, out object tt) &&
Enum.TryParse(typeof(TokenAssociativity), xmlAssociativity.InnerText, out object ta) &&
Enum.TryParse(typeof(TokenPrecedence), xmlPrecendence.InnerText, out object tp))
{
MathExpressionTokenizer.RegisterToken((TokenType)tt, xmlValue.InnerText,
(TokenAssociativity)ta, (TokenPrecedence)tp);
}
else
{
Console.WriteLine($"Invalid knowledge base entry: {node.InnerXml}");
}
}
}
catch (Exception e)
{
Console.WriteLine(e);
}
}
public void TestTokenizer17()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "-21"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Number, "4"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.Operator, "+"),
GenerateTestToken(TokenType.Number, "10"),
};
var arrResult = MathExpressionTokenizer.Tokenize("(- 21 + 4) + 10", true).ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
public void TestTokenizer03()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Number, "1"),
GenerateTestToken(TokenType.Number, "0"),
GenerateTestToken(TokenType.WhiteSpace, " "),
GenerateTestToken(TokenType.Operator, "-"),
GenerateTestToken(TokenType.Number, "2"),
GenerateTestToken(TokenType.WhiteSpace, " "),
GenerateTestToken(TokenType.Number, "0"),
};
var arrResult = MathExpressionTokenizer.Tokenize("10 -2 0").ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
/// <summary>
/// Filtert einen mathematischen Ausdruck oder Term.
/// </summary>
/// <param name="tokens">Ein Token-Iterator mit den einzelnen Teilen des mathematischen Ausdruckes</param>
/// <param name="tokenizer">Der <see cref="MathExpressionTokenizer"/>, der den Term zuvor geparst hat.</param>
/// <returns>Ein neuer Token-Iterator, der es ermöglicht über den gefilterten Term zu iterieren.</returns>
public IEnumerable <Token> PostProcessTokens(IEnumerable <Token> tokens)
{
Queue <Token> lastTokens = new Queue <Token>(3);
foreach (Token t in tokens)
{
lastTokens.Enqueue(t);
if (lastTokens.Count == 2)
{
Token t1 = lastTokens.Dequeue();
Token t2 = lastTokens.Dequeue();
if (t1.Type == TokenType.Parenthesis && t1.Value == ")" &&
t2.Type == TokenType.Parenthesis && t2.Value == "(")
{
yield return(t1);
yield return(MathExpressionTokenizer.GetToken("*"));
yield return(t2);
}
else if ((t1.Type == TokenType.Number || t1.Type == TokenType.Variable || t1.Type == TokenType.Constant || (t1.Type == TokenType.Parenthesis && t1.Value == ")")) &&
(t2.Type == TokenType.Number || t2.Type == TokenType.Variable || t2.Type == TokenType.Constant || (t2.Type == TokenType.Parenthesis && t1.Value == "(") || t2.Type == TokenType.Function))
{
yield return(t1);
yield return(MathExpressionTokenizer.GetToken("*"));
yield return(t2);
}
else
{
yield return(t1);
lastTokens.Enqueue(t2);
}
}
}
while (lastTokens.Count > 0)
{
yield return(lastTokens.Dequeue());
}
}
public void MathExpressionTokenizer_Can_Tokenize_Simple_Expression()
{
var tokenizer = new MathExpressionTokenizer();
var result = tokenizer.Tokenize("4+(2*7)/2-7");
Assert.AreEqual(11, result.Count);
Assert.AreEqual(TokenType.Numeric, result[0].Type);
Assert.AreEqual(4D, result[0].Value);
Assert.AreEqual(TokenType.Addition, result[1].Type);
Assert.AreEqual(TokenType.OpeningParenthesis, result[2].Type);
Assert.AreEqual(TokenType.Numeric, result[3].Type);
Assert.AreEqual(2D, result[3].Value);
Assert.AreEqual(TokenType.Multiplication, result[4].Type);
Assert.AreEqual(TokenType.Numeric, result[5].Type);
Assert.AreEqual(7D, result[5].Value);
Assert.AreEqual(TokenType.ClosingParenthesis, result[6].Type);
Assert.AreEqual(TokenType.Division, result[7].Type);
Assert.AreEqual(2D, result[8].Value);
Assert.AreEqual(TokenType.Subtraction, result[9].Type);
Assert.AreEqual(7D, result[10].Value);
}
public void TestTokenizer04()
{
var arrExpected = new[]
{
GenerateTestToken(TokenType.Function, "sqrt"),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "9"),
GenerateTestToken(TokenType.Operator, "*"),
GenerateTestToken(TokenType.Number, "9"),
GenerateTestToken(TokenType.Parenthesis, ")"),
GenerateTestToken(TokenType.WhiteSpace, " "),
GenerateTestToken(TokenType.Operator, "="),
GenerateTestToken(TokenType.WhiteSpace, " "),
GenerateTestToken(TokenType.Parenthesis, "("),
GenerateTestToken(TokenType.Number, "9"),
GenerateTestToken(TokenType.WhiteSpace, " "),
GenerateTestToken(TokenType.Parenthesis, ")"),
};
var arrResult = MathExpressionTokenizer.Tokenize("sqrt(9*9) = (9 )").ToArray();
Assert.IsTrue(arrResult.SequenceEqual(arrExpected));
}
/// <summary>
/// Gruppiert aufeinanderfolgende Token.
/// </summary>
/// <param name="tokens">Potenziell zu gruppierende Token</param>
/// <param name="tt">Typ der zu gruppierenden Token</param>
/// <returns>Gefilterte Liste, in der aufeinanderfolgende Token des angegebenen Typs zu einem Token zusammengefasst worden sind.</returns>
private IEnumerable <Token> GroupByType(IEnumerable <Token> tokens, TokenType tt)
{
Token lastToken = MathExpressionTokenizer.GetToken(TokenType.Unknown);
foreach (Token t in tokens)
{
if (t.Type == tt && lastToken.Type == tt)
{
lastToken = MathExpressionTokenizer.GetModifiedToken(t, lastToken.Value + t.Value);
}
else if (lastToken.Type == TokenType.Unknown)
{
lastToken = t;
}
else
{
yield return(lastToken);
lastToken = t;
}
}
yield return(lastToken);
}
public void MathExpressionTokenizer_Can_Tokenize_Wikipedia_Example()
{
var tokenizer = new MathExpressionTokenizer();
var result = tokenizer.Tokenize("3+4*2/(1-5)^2^3");
Assert.AreEqual(15, result.Count);
}
private TokenStream GetPostfixTokenStream(string source)
{
MathExpressionTokenizer tokenizer = new MathExpressionTokenizer();
TokenStream tokens = tokenizer.Tokenize(source);
return new TokenPipeline().Process(tokens);
}
/// <summary>
/// Ergänzt die Wissensbasis anhand einer Datenbank.
/// </summary>
/// <param name="strFile">Die Datei, welche die Datenbank enthält.</param>
public static void LoadKnowledgeBaseFromFile(string strFile)
{
try
{
XmlDocument doc = new XmlDocument();
doc.Load(strFile);
XmlNode root = doc.DocumentElement;
if (root?.Name != "knowledgebase")
{
return;
}
XmlNode xmlRules = root.SelectSingleNode("functions");
if (xmlRules == null || !xmlRules.HasChildNodes ||
!(xmlRules.SelectNodes("function") is XmlNodeList listFunctions))
{
return;
}
foreach (XmlNode node in listFunctions)
{
if (!(node.SelectSingleNode("arguments")?.SelectNodes("argument") is XmlNodeList listArguments))
{
continue;
}
XmlNode xmlName = node.SelectSingleNode("name");
if (xmlName == null)
{
continue;
}
List <DefaultFunctionArgument> listDefaultArguments = new List <DefaultFunctionArgument>();
foreach (XmlNode nodeArgument in listArguments)
{
if (!(nodeArgument.SelectSingleNode("hasdefaultvalue") is XmlNode xmlHasDefaultArgument) ||
!bool.TryParse(xmlHasDefaultArgument.InnerText, out bool bHasDefaultArgument))
{
continue;
}
if (bHasDefaultArgument &&
nodeArgument.SelectSingleNode("defaultvalue") is XmlNode xmlDefaultArgument)
{
listDefaultArguments.Add(new DefaultFunctionArgument
{
HasDefaultValue = true,
DefaultValue = MathExpressionTokenizer.GetToken(xmlDefaultArgument.InnerText)
});
}
else
{
listDefaultArguments.Add(new DefaultFunctionArgument
{
HasDefaultValue = false
});
}
}
FunctionArgumentFilter.RegisterFunction(xmlName.InnerText, listDefaultArguments);
}
}
catch (Exception e)
{
Console.WriteLine(e);
}
}
/// <summary>
/// Filtert einen mathematischen Ausdruck oder Term.
/// </summary>
/// <param name="tokens">Ein Token-Iterator mit den einzelnen Teilen des mathematischen Ausdruckes</param>
/// <param name="tokenizer">Der <see cref="MathExpressionTokenizer"/>, der den Term zuvor geparst hat.</param>
/// <returns>Ein neuer Token-Iterator, der es ermöglicht über den gefilterten Term zu iterieren.</returns>
public IEnumerable <Token> PostProcessTokens(IEnumerable <Token> tokens)
{
bool bIsStart = true;
Queue <Token> lastTokens = new Queue <Token>(3);
foreach (Token t in tokens)
{
lastTokens.Enqueue(t);
if (lastTokens.Count == 2 && bIsStart)
{
bIsStart = false;
Token t1 = lastTokens.Dequeue();
Token t2 = lastTokens.Dequeue();
if ((t1.Type == TokenType.Operator && (t1.Value == "-" || t1.Value == "+")) &&
t2.Type == TokenType.Number)
{
yield return(MathExpressionTokenizer.GetModifiedToken(t2, (t1.Value != "+" ? t1.Value : "") + t2.Value));
}
else
{
if (t1.Type == TokenType.Parenthesis && t1.Value == "(")
{
lastTokens.Enqueue(t1);
}
else
{
yield return(t1);
}
lastTokens.Enqueue(t2);
}
}
if (lastTokens.Count == 3)
{
Token t1 = lastTokens.Dequeue();
Token t2 = lastTokens.Dequeue();
Token t3 = lastTokens.Dequeue();
if ((t1.Type == TokenType.Operator || (t1.Type == TokenType.Parenthesis && t1.Value == "(")) &&
(t2.Type == TokenType.Operator && (t2.Value == "-" || t2.Value == "+")) &&
t3.Type == TokenType.Number)
{
yield return(t1);
yield return(MathExpressionTokenizer.GetModifiedToken(t3, (t2.Value != "+" ? t2.Value : "") + t3.Value));
}
else
{
yield return(t1);
lastTokens.Enqueue(t2);
lastTokens.Enqueue(t3);
}
}
}
while (lastTokens.Count > 0)
{
yield return(lastTokens.Dequeue());
}
}
/// <summary>
/// Erstellt eine Baumstruktur, die einen mathematischen Term repräsentiert.
/// </summary>
/// <param name="readerInfixTerm">Der mathematische Term in der Infix-Notation.</param>
/// <param name="environment">Die Umgebung, in dessen Kontext der mathematische Term seine Gültigkeit besitzt.</param>
/// <param name="arrVariables">Eine Liste mit Variablen, die in dem Term vorkommen.</param>
/// <returns>Eine Baumstruktur, die einen mathematischen Term repräsentiert.</returns>
public static Node Get(TextReader readerInfixTerm, MathEnvironment environment, params string[] arrVariables)
{
return(Get(MathExpressionTokenizer.Tokenize(readerInfixTerm, true, arrVariables), environment, true));
}
public void MathExpressionTokenizer_Can_Tokenize_Words()
{
var tokenizer = new MathExpressionTokenizer();
var result = tokenizer.Tokenize("2+x*1");
Assert.AreEqual(5, result.Count);
Assert.AreEqual(TokenType.Numeric, result[0].Type);
Assert.AreEqual(2D, result[0].Value);
Assert.AreEqual(TokenType.Addition, result[1].Type);
Assert.AreEqual(TokenType.Word, result[2].Type);
Assert.AreEqual(TokenType.Multiplication, result[3].Type);
Assert.AreEqual(TokenType.Numeric, result[4].Type);
Assert.AreEqual(1D, result[4].Value);
}
/// <summary>
/// Parst einen mathematischen Term und gibt diesen aufgeteilt in einzelne Bauteile zurück.
/// </summary>
/// <param name="strTerm">Der mathematische Term als String, z.B. "5 + 5 - sqrt(9)"</param>
/// <param name="arrVariables">Eine Liste mit Variablen, die in dem Term vortkommen, beispielsweise "x", "y"</param>
/// <returns></returns>
public static Token[] TokenizeTerm(string strTerm, params string[] arrVariables)
{
return(MathExpressionTokenizer.Tokenize(strTerm, true, arrVariables).ToArray());
}
public void MathExpressionTokenizer_Unknown_Symbol_Throws_Exception()
{
var tokenizer = new MathExpressionTokenizer();
var exception = Assert.Throws<MathExpressionException>(() => tokenizer.Tokenize("1$2"));
Assert.AreEqual("Invalid expression.", exception.Message);
Assert.AreEqual("Unknown token '$' in expression.", exception.Details);
}
public void MathExpressionTokenizer_Treats_Comma_As_Argument_Separator()
{
var tokenizer = new MathExpressionTokenizer();
var result = tokenizer.Tokenize("3,23+1");
Assert.AreEqual(5, result.Count);
Assert.AreEqual(TokenType.Separator, result[1].Type);
}
/// <summary>
/// Parst einen mathematischen Term und gibt diesen aufgeteilt in einzelne Bauteile zurück.
/// </summary>
/// <param name="reader">Ein StringReader-Objekt, von dem der zu parsende Term ausgelesen wird.</param>
/// <param name="arrVariables">Eine Liste mit Variablen, die in dem Term vortkommen, beispielsweise "x", "y"</param>
/// <returns></returns>
public static Token[] TokenizeTerm(StringReader reader, params string[] arrVariables)
{
return(MathExpressionTokenizer.Tokenize(reader, true, arrVariables).ToArray());
}