public Token(TokenParser.Tokens name, string value)
{
TokenName = name;
TokenValue = value;
}
/// <summary>
/// Return priority of operations
/// </summary>
/// <param name="token"></param>
/// <returns></returns>
private static int GetPrecedence(TokenParser.Tokens token)
{
if (token == TokenParser.Tokens.Add || token == TokenParser.Tokens.Subtract)
return 1;
if (token == TokenParser.Tokens.Multiply || token == TokenParser.Tokens.Divide || token == TokenParser.Tokens.Modulus)
return 2;
if (token == TokenParser.Tokens.Exponent)
return 3;
if (token == TokenParser.Tokens.Lparen || token == TokenParser.Tokens.Rparen)
return 4;
return 0;
}
public SimplificationReturnValue Simplify(string equation)
{
var retval = new SimplificationReturnValue { OriginalEquation = equation };
validateExpression(equation);
if (equation.Trim().StartsWith("-") || equation.Trim().StartsWith("+"))
equation = "0" + equation;
equation = equation.Replace("(+", "(0+");
equation = equation.Replace("(-", "(0-");
equation = equation.Replace("( +", "( 0+");
equation = equation.Replace("( -", "( 0-");
equation = equation.Replace(",-", ",0-");
equation = equation.Replace(", -", ", 0-");
equation = equation.Replace(",+", ",0+");
equation = equation.Replace(", +", ", 0+");
var tp = new TokenParser();
foreach (var cf in _customFunctions)
{
tp.RegisterCustomFunction(cf.Key);
}
tp.InputString = equation;
Token token = tp.GetToken();
_operatorStack.Clear();
_outputQueue.Clear();
#region Filling _outputQueue
while (token != null)
{
#region Sqare Root Token
if (token.TokenName == TokenParser.Tokens.Sqrt)
{
string expression = token.TokenValue.Substring(4, token.TokenValue.Length - 4);
SimplificationReturnValue rv = EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Sqrt(rv.IntValue).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Sqrt(rv.DoubleValue).ToString();
break;
}
}
#endregion
#region Sinus Token
if (token.TokenName == TokenParser.Tokens.Sin)
{
string expression = token.TokenValue.Substring(3, token.TokenValue.Length - 3);
SimplificationReturnValue rv =
EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Sin(rv.IntValue).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Sin(rv.DoubleValue).ToString();
break;
}
}
#endregion
#region Log Token
if (token.TokenName == TokenParser.Tokens.Log)
{
string expression = token.TokenValue.Substring(3, token.TokenValue.Length - 3);
SimplificationReturnValue rv =
EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Log(rv.IntValue, 10).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Log(rv.DoubleValue, 10).ToString();
break;
}
}
#endregion
#region Log Natural Token
if (token.TokenName == TokenParser.Tokens.LogN)
{
string expression = token.TokenValue.Substring(4, token.TokenValue.Length - 4);
SimplificationReturnValue rv =
EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Log(rv.IntValue).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Log(rv.DoubleValue).ToString();
break;
}
}
#endregion
#region Tangens Token
if (token.TokenName == TokenParser.Tokens.Tan)
{
string expression = token.TokenValue.Substring(3, token.TokenValue.Length - 3);
var rv =
EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Tan(rv.IntValue).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Tan(rv.DoubleValue).ToString();
break;
}
}
#endregion
#region Absulute Value Token
if (token.TokenName == TokenParser.Tokens.Abs)
{
string expression = token.TokenValue.Substring(3, token.TokenValue.Length - 3);
var rv =
EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Abs(rv.IntValue).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Abs(rv.DoubleValue).ToString();
break;
}
}
#endregion
#region Cosinus Token
if (token.TokenName == TokenParser.Tokens.Cos)
{
string expression = token.TokenValue.Substring(3, token.TokenValue.Length - 3);
var rv =
EvaluateExpression(new NumberClass
{
Expression = expression,
NumberType = NumberClass.NumberTypes.Expression
});
token.TokenName = TokenParser.Tokens.Float;
switch (rv.ReturnType)
{
case SimplificationReturnValue.ReturnTypes.Integer:
token.TokenValue = Math.Cos(rv.IntValue).ToString();
break;
case SimplificationReturnValue.ReturnTypes.Float:
token.TokenValue = Math.Cos(rv.DoubleValue).ToString();
break;
}
}
#endregion
#region Unknown Token
if ((int)token.TokenName >= 100)
{
int ndx1 = token.TokenValue.IndexOf("(");
string fn = token.TokenValue.Substring(0, ndx1);
string origExpression = token.TokenValue.Substring(ndx1);
string[] expressions = origExpression.Replace(",", "),(").Split(',');
bool found = false;
if (_customFunctions.Any(c => c.Key.Equals(fn)))
found = true;
if (found)
{
foreach (var ff in _customFunctions)
{
if (ff.Key.Equals(fn))
{
var p = new Parser();
foreach (var cfr in _customFunctions)
p.AddCustomFunction(cfr.Key, cfr.Value);
foreach (var vr in _variables)
p.AddVariable(vr.Key, vr.Value);
foreach (var vf in _functions)
p.AddFunction(vf.Name, vf.Arguments, vf.Expression);
var ex = expressions.Select(p.Simplify).ToArray();
object funcRetval = null;
if (ff.Value.Method.ReturnType == typeof(int))
{
var intParams = new object[ex.Length];
int ndx = 0;
foreach (var pp in ex)
{
if (pp.ReturnType == SimplificationReturnValue.ReturnTypes.Float)
intParams[ndx] = (int)pp.DoubleValue;
if (pp.ReturnType == SimplificationReturnValue.ReturnTypes.Integer)
intParams[ndx] = pp.IntValue;
ndx++;
}
funcRetval = ff.Value.DynamicInvoke(intParams);
}
if (ff.Value.Method.ReturnType == typeof(double))
{
var floatParams = new object[ex.Length];
int ndx = 0;
foreach (var pp in ex)
{
if (pp.ReturnType == SimplificationReturnValue.ReturnTypes.Float)
floatParams[ndx] = pp.DoubleValue;
if (pp.ReturnType == SimplificationReturnValue.ReturnTypes.Integer)
floatParams[ndx] = pp.IntValue;
ndx++;
}
funcRetval = ff.Value.DynamicInvoke(floatParams);
}
if (ff.Value.Method.ReturnType==typeof(object))
{
funcRetval = ff.Value.DynamicInvoke(expressions.Select(p.Simplify).ToArray());
}
//object funcRetval = ff.Value.DynamicInvoke(expressions.Select(p.Simplify).ToArray());
if (funcRetval is double)
{
token.TokenValue = ((double)funcRetval).ToString();
token.TokenName = TokenParser.Tokens.Float;
}
if (funcRetval is int)
{
token.TokenValue = ((int)funcRetval).ToString();
token.TokenName = TokenParser.Tokens.Integer;
}
if (funcRetval is SimplificationReturnValue)
{
var srv = (SimplificationReturnValue)funcRetval;
if (srv.ReturnType == SimplificationReturnValue.ReturnTypes.Integer)
{
token.TokenValue = srv.IntValue.ToString();
token.TokenName = TokenParser.Tokens.Integer;
}
if (srv.ReturnType == SimplificationReturnValue.ReturnTypes.Float)
{
token.TokenValue = srv.DoubleValue.ToString();
token.TokenName = TokenParser.Tokens.Float;
}
}
break;
}
}
}
if (!found)
{
throw new NoSuchFunctionException();//StringResources.No_such_function_defined + ": " + fn);
}
}
#endregion
#region Function Token
if (token.TokenName == TokenParser.Tokens.Function)
{
int ndx1 = token.TokenValue.IndexOf("(");
string fn = token.TokenValue.Substring(0, ndx1).Remove(0, 4);
string origExpression = token.TokenValue.Substring(ndx1);
string[] expressions = origExpression.Replace(",", "),(").Split(',');
bool found = false;
FunctionClass fun = null;
if (_functions.Any(c => c.Name.Equals(fn)))
{
found = true;
}
if (found)
{
foreach (var ff in _functions)
if (ff.Name.Equals(fn))
fun = ff;
}
if (!found)
{
throw new NoSuchFunctionException();//StringResources.No_such_function_defined + ": " + fn);
}
var parser = new Parser();
foreach (var cfh in _customFunctions)
parser.AddCustomFunction(cfh.Key, cfh.Value);
foreach (var v in _variables)
{
if (v.Value.NumberType == NumberClass.NumberTypes.Float)
{
parser.AddVariable(v.Key, v.Value.FloatNumber);
}
if (v.Value.NumberType == NumberClass.NumberTypes.Integer)
{
parser.AddVariable(v.Key, v.Value.IntNumber);
}
if (v.Value.NumberType == NumberClass.NumberTypes.Expression)
{
parser.AddVariable(v.Key, v.Value.Expression);
}
}
foreach (var f in _functions)
{
parser.AddFunction(f.Name, f.Arguments, f.Expression);
}
var expressionList = new List<NumberClass>();
foreach (var expression in expressions)
{
SimplificationReturnValue simRetval = parser.Simplify(expression);
var numClass = new NumberClass();
if (simRetval.ReturnType == SimplificationReturnValue.ReturnTypes.Float)
{
numClass.FloatNumber = simRetval.DoubleValue;
numClass.NumberType = NumberClass.NumberTypes.Float;
}
if (simRetval.ReturnType == SimplificationReturnValue.ReturnTypes.Integer)
{
numClass.IntNumber = simRetval.IntValue;
numClass.NumberType = NumberClass.NumberTypes.Integer;
}
expressionList.Add(numClass);
}
if (fun != null)
{
var numClass = new NumberClass { NumberType = NumberClass.NumberTypes.Expression, Expression = fun.Expression };
SimplificationReturnValue sretval = parser.EvaluateFunction(numClass, fun, expressionList);
if (sretval != null && sretval.ReturnType == SimplificationReturnValue.ReturnTypes.Integer)
{
token.TokenName = TokenParser.Tokens.Integer;
token.TokenValue = sretval.IntValue.ToString();
}
if (sretval != null && sretval.ReturnType == SimplificationReturnValue.ReturnTypes.Float)
{
token.TokenName = TokenParser.Tokens.Float;
token.TokenValue = sretval.DoubleValue.ToString();
}
}
}
#endregion
#region Variable Token
if (token.TokenName == TokenParser.Tokens.Variable)
{
if (_variables.ContainsKey(token.TokenValue))
{
var z = _variables[token.TokenValue];
if (z.NumberType == NumberClass.NumberTypes.Float)
{
token.TokenName = TokenParser.Tokens.Float;
token.TokenValue = z.FloatNumber.ToString();
}
else if (z.NumberType == NumberClass.NumberTypes.Integer)
{
token.TokenName = TokenParser.Tokens.Integer;
token.TokenValue = z.IntNumber.ToString();
}
}
else
{
throw new NoSuchVariableException();//StringResources.Undefined_Variable + ": " + token.TokenValue);
}
}
#endregion
#region White space or NewLine Token
if (token.TokenName == TokenParser.Tokens.Whitespace || token.TokenName == TokenParser.Tokens.Newline)
{
token = tp.GetToken();
continue;
}
#endregion
#region Integer or Float token
if (token.TokenName == TokenParser.Tokens.Integer || token.TokenName == TokenParser.Tokens.Float)
{
var nc = new NumberClass();
switch (token.TokenName)
{
case TokenParser.Tokens.Float:
nc.NumberType = NumberClass.NumberTypes.Float;
nc.FloatNumber = double.Parse(token.TokenValue.Replace('.', ','));
break;
case TokenParser.Tokens.Integer:
nc.NumberType = NumberClass.NumberTypes.Integer;
nc.IntNumber = int.Parse(token.TokenValue);
break;
}
_outputQueue.Enqueue(nc);
}
#endregion
#region IsOperator Token
if (IsOperator(token.TokenName))
{
if (_operatorStack.Count > 0)
{
while (_operatorStack.Count > 0)
{
var op = _operatorStack.Peek(); //o2
if (op == "(" || op == ")")
break;
if ((GetPrecedence(token.TokenName) <= GetPrecedence(op) &&
IsLeftAssociative(token.TokenValue)) ||
!IsLeftAssociative(token.TokenValue) &&
GetPrecedence(token.TokenName) < GetPrecedence(op))
{
op = _operatorStack.Pop();
var nc = new NumberClass { NumberType = NumberClass.NumberTypes.Operator, Operator = op };
_outputQueue.Enqueue(nc);
}
else break;
}
}
_operatorStack.Push(token.TokenValue);
}
#endregion
#region Lparen Token
if (token.TokenName == TokenParser.Tokens.Lparen)
_operatorStack.Push(token.TokenValue);
#endregion
#region Rparen Token
if (token.TokenName == TokenParser.Tokens.Rparen)
{
if (_operatorStack.Count > 0)
{
var op = _operatorStack.Pop();
while (op != "(")
{
var nc = new NumberClass { Operator = op, NumberType = NumberClass.NumberTypes.Operator };
_outputQueue.Enqueue(nc);
if (_operatorStack.Count > 0)
op = _operatorStack.Pop();
else
{
throw new MismatchedParenthesisException();
}
}
}
else
{
throw new MismatchedParenthesisException();
}
}
#endregion
token = tp.GetToken();
}
#endregion
while (_operatorStack.Count > 0)
{
var op = _operatorStack.Pop();
if (op == "(" || op == ")")
{
throw new MismatchedParenthesisException();
}
var nc = new NumberClass { NumberType = NumberClass.NumberTypes.Operator, Operator = op };
_outputQueue.Enqueue(nc);
}
bool floatAnswer = true;// _outputQueue.Any(v => v.NumberType == NumberClass.NumberTypes.Float);
var intStack = new Stack<int>();
int lastMemoryCell = 0;
/*
* Clearing stack before use it;
*/
try
{
_pbStack.clearStack();
if (floatAnswer || _outputQueue.Any(v => v.Operator == "/"))
{
//var dblStack = new Stack<double>();
// Type{integer,float,operator, memory},{value/mem index}
var newStack = new Stack<StackData>();
String leftOperand, rightOperand;
int leftOperandInt, rightOperandInt;
foreach (var nc in _outputQueue)
{
if (nc.NumberType == NumberClass.NumberTypes.Integer)
{
newStack.Push(new StackData("int", nc.IntNumber));
continue;
}
if (nc.NumberType == NumberClass.NumberTypes.Float)
{
newStack.Push(new StackData("float", nc.FloatNumber));
continue;
}
if (nc.NumberType == NumberClass.NumberTypes.Operator)
{
// Stack filling
// if left operand aren't memory cell and right aren't memory cell
if ((newStack.Peek().dataType != "mem") && (newStack.ElementAt(1).dataType != "mem"))
{
rightOperand = newStack.Pop().dataValue.ToString();
leftOperand = newStack.Pop().dataValue.ToString();
_pbStack.PushCommand(nc.Operator, leftOperand, rightOperand);
}
else
{
// if left operand stored in memory
if (newStack.Peek().dataType == "mem")
{
if (newStack.ElementAt(1).dataType != "mem")
{
leftOperandInt = (int)newStack.Pop().dataValue;
rightOperand = newStack.Pop().dataValue.ToString();
// use push with memory index for left operand
_pbStack.PushCommand(nc.Operator, leftOperandInt, rightOperand);
}
else
{
leftOperandInt = (int)newStack.Pop().dataValue;
rightOperandInt = (int)newStack.Pop().dataValue;
// use push with memory index for left operand
// TODO: Implement Push Command for KOP MEM MEM
_pbStack.PushCommand(nc.Operator, leftOperandInt, rightOperandInt);
}
}
else
{
/* If right operand stored in memory */
// Get left operand value
leftOperand = newStack.Pop().dataValue.ToString();
// Get right operand memory index
rightOperandInt = (int)newStack.Pop().dataValue;
// Use push with memory index for right operand
_pbStack.PushCommand(nc.Operator, leftOperand, rightOperandInt);
}
}
//double val = DoMath(nc.Operator, dblStack.Pop(), dblStack.Pop());
lastMemoryCell = _pbStack.PeekCommand().MemoryCellUsed;
//dblStack.Push(-lastMemoryCell - 1);
newStack.Push(new StackData("mem", lastMemoryCell));
}
}
if (newStack.Count == 0)
{
throw new CouldNotParseExpressionException();
}
retval.DoubleValue = newStack.Pop().dataValue;
retval.ReturnType = SimplificationReturnValue.ReturnTypes.Float;
}
else
{
foreach (var nc in _outputQueue)
{
if (nc.NumberType == NumberClass.NumberTypes.Integer)
intStack.Push(nc.IntNumber);
if (nc.NumberType == NumberClass.NumberTypes.Float)
intStack.Push((int)nc.FloatNumber);
if (nc.NumberType == NumberClass.NumberTypes.Operator)
{
// Stack filling
if (intStack.Count == 2)
_pbStack.PushCommand(nc.Operator, intStack.Pop().ToString(), intStack.Pop().ToString());
else
if (intStack.Count == 1)
_pbStack.PushCommand(nc.Operator, intStack.Pop().ToString(), lastMemoryCell);
// Delete this and add stack filling
//int val = DoMath(nc.Operator, intStack.Pop(), intStack.Pop());
lastMemoryCell = _pbStack.PeekCommand().MemoryCellUsed;
//intStack.Push(val);
}
}
if (intStack.Count == 0)
{
throw new CouldNotParseExpressionException();
}
retval.IntValue = intStack.Pop();
retval.ReturnType = SimplificationReturnValue.ReturnTypes.Integer;
}
}
catch (Exception ex)
{
return null;
}
return retval;
}
public bool validateExpression(string expression)
{
// Find empty brackets
// Find brackets without operands and operations
// Operator without one operands(left or right side)
// Dublicated operations
var tp = new TokenParser();
tp.InputString = expression;
Token token = tp.GetToken();
while (token != null)
{
System.Console.WriteLine("Name= "+token.TokenName + " Value="+ token.TokenValue);
token = tp.GetToken();
}
return false;
}
private static bool IsOperator(TokenParser.Tokens token)
{
return token == TokenParser.Tokens.Add || token == TokenParser.Tokens.Divide || token == TokenParser.Tokens.Exponent ||
token == TokenParser.Tokens.Modulus || token == TokenParser.Tokens.Multiply || token == TokenParser.Tokens.Subtract;
}