public object Clone()
{
QsFunction f = (QsFunction)this.MemberwiseClone();
var fdname = f.FunctionDeclaration.Substring(0, f.FunctionDeclaration.IndexOf('('));
f.FunctionDeclaration = f.FunctionDeclaration.Replace(fdname, "_");
return(f);
}
/// <summary>
/// Differentiate operation for function.
/// </summary>
/// <param name="value">object of <see cref="QsScalar"/> that hold <see cref="AnyQuantity<SymbolicVariable>"/></param>
/// <returns></returns>
public override QsValue DifferentiateOperation(QsValue value)
{
QsScalar sval = (QsScalar)value;
if (sval.ScalarType == ScalarTypes.SymbolicQuantity)
{
var dsv = sval.SymbolicQuantity.Value;
string fname = "_";
string WholeFunction = string.Empty;
if (this.FunctionBodyToken[0].TokenClassType == typeof(CurlyBracketGroupToken))
{
// vector differentiation
// take every term in the vector and differentiate it
var vcs = QsVar.VectorComponents(this.FunctionBodyToken[0]);
StringBuilder sc = new StringBuilder();
sc.Append(fname + "(" + RemoveRedundantParameters(this.ParametersNames) + ") = ");
sc.Append("{ ");
foreach (var c in vcs)
{
SymbolicVariable nsv = SymbolicVariable.Parse(c);
int times = (int)dsv.SymbolPower;
while (times > 0)
{
nsv = nsv.Differentiate(dsv.Symbol);
times--;
}
sc.Append(nsv.ToString());
sc.Append(" ");
}
sc.Append("}");
WholeFunction = sc.ToString();
}
else
{
SymbolicVariable nsv = ToSymbolicVariable();
int times = (int)dsv.SymbolPower;
while (times > 0)
{
nsv = nsv.Differentiate(dsv.Symbol);
times--;
}
WholeFunction = fname + "(" + RemoveRedundantParameters(this.ParametersNames) + ") = " + nsv.ToString();
}
return(QsFunction.ParseFunction(QsEvaluator.CurrentEvaluator, WholeFunction));
}
else
{
return(base.DifferentiateOperation(value));
}
}
/// <summary>
/// Get the default function.
/// Default function is on the form f#2 f#3 without decoration for parameters.
/// </summary>
/// <param name="scope"></param>
/// <param name="nameSpace"></param>
/// <param name="functionName"></param>
/// <param name="parameterCount"></param>
/// <returns></returns>
public static QsFunction GetDefaultFunction(
QsScope scope,
string nameSpace,
string functionName,
int parametersCount)
{
string functionRealName = QsFunction.FormFunctionSymbolicName(functionName, parametersCount);
QsFunction func = QsFunction.GetFunction(scope, nameSpace, functionRealName);
return(func);
}
/// <summary>
/// Join any set of given functions and returns the tokens of the new function along
/// with the new function text.
/// </summary>
/// <param name="operation"></param>
/// <param name="functionDeclaration"></param>
/// <param name="functions"></param>
/// <returns></returns>
internal static Token JoinFunctionsArrayTokensWithOperation(string operation, out string functionDeclaration, params QsFunction[] functions)
{
var fname = "_";
var fbody = "";
List <string> fparamList = new List <string>();
foreach (var f in functions)
{
fbody += " " + f.FunctionBody + " " + operation;
fparamList.AddRange(f.ParametersNames);
}
fbody = fbody.TrimEnd(operation.ToCharArray());
string[] fparam = fparamList.ToArray();
var fNameParamPart = fname + "(" + RemoveRedundantParameters(fparam) + ") =";
functionDeclaration = fNameParamPart + fbody;
Token fTokens = new Token();
// add first part tokens
foreach (var t in QsFunction.TokenizeFunction(fNameParamPart))
{
fTokens.AppendSubToken(t);
}
for (int i = 0; i < functions.Length; i++)
{
// prepare function body tokens
foreach (var t in functions[i].FunctionBodyToken)
{
fTokens.AppendSubToken(t);
}
if (i < functions.Length - 1)
{
fTokens.AppendSubToken(Token.ParseText(operation.Trim())[0]); //operation is only one charachter
}
}
return(fTokens);
}
/// <summary>
/// Get the function that is stored in the scope.
/// </summary>
/// <param name="scope"></param>
/// <param name="realName"></param>
/// <returns></returns>
public static QsFunction GetFunction(QsScope scope, string qsNamespace, string functionName)
{
if (string.IsNullOrEmpty(qsNamespace))
{
// no namespace included then it is from the local scope.
// I am adding the mathmatical functions in the root namespace
// so I will test for the function namespace and
QsFunction function = (QsFunction)MathNamespace.GetValueOrNull(functionName);
// built int math functions will be overwrite any other functions
if (function != null)
{
return(function);
}
else
{
function = (QsFunction)QsEvaluator.GetScopeValueOrNull(scope, qsNamespace, functionName);
}
return(function);
}
else
{
try
{
QsNamespace ns = QsNamespace.GetNamespace(scope, qsNamespace);
return((QsFunction)ns.GetValue(functionName));
}
catch (QsVariableNotFoundException)
{
return(null);
}
}
}
/// <summary>
/// Take the value and operation in text and return the current function operationed by value.
/// </summary>
/// <param name="value"></param>
/// <param name="operation"></param>
/// <returns></returns>
private QsFunction FOperation(QsValue value, string operation)
{
if (value is QsFunction)
{
QsFunction fn2 = (QsFunction)value;
string fParameters = RemoveRedundantParameters(this.ParametersNames.Union(fn2.ParametersNames).ToArray());
string thisFunctionBody = this.FunctionBody;
foreach (string p in this.ParametersNames)
{
thisFunctionBody = thisFunctionBody.Replace(p, "$" + p);
}
string targetFunctionBody = fn2.FunctionBody;
foreach (string p in fn2.ParametersNames)
{
targetFunctionBody = targetFunctionBody.Replace(p, "$" + p);
}
// form the expressions that will be parsed.
string fpt = "(" + thisFunctionBody + ")" + operation + "(" + targetFunctionBody + ")";
fpt = fpt.Replace("!", "__FAC__"); // replacing the ! sign with __FAC__ to include the '!' sign into the calculations {because '!' is operator in parsing so it doesn't enter the algebraic calculations}
//evaulate fpt
try
{
QsScalar sc = (QsScalar)QsEvaluator.CurrentEvaluator.SilentEvaluate(fpt);
string FuncBody = sc.SymbolicQuantity.Value.ToString().Replace("__FAC__", "!");
string WholeFunction = "_(" + fParameters + ") = " + FuncBody;
return(QsFunction.ParseFunction(QsEvaluator.CurrentEvaluator, WholeFunction));
}
catch (QsIncompleteExpression)
{
// something happened make the operation in old fashion
string WholeFunction;
Token FunctionToken = JoinFunctionsArrayTokensWithOperation(operation, out WholeFunction, this, fn2);
return(QsFunction.ParseFunction(QsEvaluator.CurrentEvaluator, WholeFunction, FunctionToken));
}
}
else if (value is QsScalar)
{
QsScalar svl = (QsScalar)value;
var fname = "_";
var fbody = this.FunctionBody;
if (svl.ScalarType == ScalarTypes.SymbolicQuantity)
{
fbody = "(" + fbody + ")" + operation + "(" + svl.SymbolicQuantity.Value.ToString() + ")";
}
else if (svl.ScalarType == ScalarTypes.NumericalQuantity)
{
fbody = "(" + fbody + ")" + operation + svl.NumericalQuantity.Value.ToString();
}
else if (svl.ScalarType == ScalarTypes.RationalNumberQuantity)
{
fbody = "(" + fbody + ")" + operation + svl.RationalQuantity.Value.Value.ToString();
}
else if (svl.ScalarType == ScalarTypes.FunctionQuantity)
{
fbody = "(" + fbody + ")" + operation + "(" + svl.FunctionQuantity.Value.FunctionBody + ")";
}
else
{
throw new QsException("Operation '" + operation + "' for the target scalar type (" + svl.ScalarType + ") is not supported");
}
QsScalar fb = SymbolicVariable.Parse(fbody).ToQuantity().ToScalar();
string FuncBody = string.Empty;
if (fb.ScalarType == ScalarTypes.SymbolicQuantity)
{
FuncBody = fb.SymbolicQuantity.Value.ToString().Replace("__FAC__", "!");
}
else
{
FuncBody = fb.ToExpressionParsableString();
}
string[] functionParametersArray = this.ParametersNames; // this is the available parameters for the original function.
if (svl.ScalarType == ScalarTypes.SymbolicQuantity)
{
List <string> newParametersList = new List <string>(functionParametersArray);
newParametersList.AddRange(svl.SymbolicQuantity.Value.InvolvedSymbols);
functionParametersArray = newParametersList.ToArray();
}
if (svl.ScalarType == ScalarTypes.FunctionQuantity)
{
List <string> newParametersList = new List <string>(functionParametersArray);
newParametersList.AddRange(svl.FunctionQuantity.Value.ParametersNames);
functionParametersArray = newParametersList.ToArray();
}
var f = fname + "(" + RemoveRedundantParameters(functionParametersArray) + ") = " + FuncBody;
return(QsFunction.ParseFunction(QsEvaluator.CurrentEvaluator, f));
}
else
{
throw new NotImplementedException();
}
}
/// <summary>
/// if we consider the <see cref="ParameterRawText"/> as a function name.
/// then this function will get the actual function name which include parameters count.
/// This function is only used in making expressions.
/// </summary>
/// <param name="paramCount"></param>
/// <returns></returns>
public string GetTrueFunctionName(int paramCount)
{
return(QsFunction.FormFunctionSymbolicName(ParameterRawText, paramCount));
}
public static QsFunction ParseFunction(QsEvaluator qse, string functionDeclaration, Token functionToken)
{
int nsidx = 0; // surve as a base for indexing token if there is namespace it will be 1 otherwise remain 0
// specify the namespaces end token.
string functionNamespace = "";
foreach (var tok in functionToken)
{
if (tok.TokenClassType == typeof(NamespaceToken))
{
nsidx++;
functionNamespace += tok.TokenValue;
}
else
{
break;
}
}
if (
functionToken[nsidx].TokenClassType == typeof(WordToken) &&
(functionToken.Count > (nsidx + 1) ? functionToken[nsidx + 1].TokenClassType == typeof(ParenthesisGroupToken) : false) &&
(functionToken.Count > (nsidx + 2) ? functionToken[nsidx + 2].TokenClassType == typeof(EqualToken) : false)
)
{
//get function name
// will be the first token after excluding namespace.
string functionName = string.Empty;
functionName = functionToken[nsidx].TokenValue;
//remove the last : from namespace
functionNamespace = functionNamespace.TrimEnd(':');
List <string> textParams = new List <string>();
List <QsParamInfo> prms = new List <QsParamInfo>();
foreach (var c in functionToken[nsidx + 1])
{
if (
c.TokenValue.StartsWith("(") ||
c.TokenValue.StartsWith(")") ||
c.TokenValue.StartsWith(",") ||
c.TokenClassType == typeof(MultipleSpaceToken)
)
{
//ignore these things.
}
else
{
if (char.IsLetter(c.TokenValue[0]))
{
textParams.Add(c.TokenValue);
prms.Add(new QsParamInfo {
Name = c.TokenValue, Type = QsParamType.Value
});
}
else
{
throw new QsSyntaxErrorException("Parameter name must statrt with a letter");
}
}
}
//declared for first time a default function.
QsFunction qf = new QsFunction(functionDeclaration)
{
FunctionNamespace = functionNamespace,
FunctionName = functionName,
Parameters = prms.ToArray()
};
//LambdaBuilder lb = Utils.Lambda(typeof(QsValue), functionName);
SimpleLambdaBuilder lb = SimpleLambdaBuilder.Create(typeof(QsValue), functionName);
foreach (QsParamInfo prm in prms)
{
lb.Parameter(typeof(QsParameter), prm.Name);
}
List <Expression> statements = new List <Expression>();
qf.FunctionBody = functionDeclaration.Substring(functionToken[nsidx + 2].IndexInText + functionToken[nsidx + 2].TokenValueLength).Trim();
Token functionBodyTokens;
QsVar qv = new QsVar(qse, qf.FunctionBody, qf, lb, out functionBodyTokens);
statements.Add(qv.ResultExpression); //making the variable expression itself make it the return value of the function.
lb.Body = Expression.Block(statements);
LambdaExpression lbe = lb.MakeLambda();
qf.FunctionExpression = lbe;
qf.FunctionBodyToken = functionBodyTokens;
return(qf);
}
else
{
return(null);
}
}