public VariablesMulriplication(FunctionElement[] variables, double constant = 1)
{
this.variables = new List<FunctionElement>();
this.Constant = constant;
foreach (var v in variables)
{
this.AddVariable(v);
}
}
public Function SetVariableValue(string name, FunctionElement value)
{
if (this.variables.Count == 0)
return new Function();
Function f = new Function(1);
this.variables.ForEach(delegate(FunctionElement v)
{
var temp = v.Clone() as FunctionElement;
if (!temp.IsDouble() && temp.HasVariable(name))
{
f *= temp.SetVariableValue(name, value);
}
else
{
f *= temp;
}
});
return f * this.Constant;
}
public override Dictionary<string, FunctionElement> GetVariablesByConstant(FunctionElement e)
{
var l = e.ToLeaf() as ListVariable;
if (l == null || l.Values.Length != this.Values.Length)
{
return null;
}
Dictionary<string, FunctionElement> d = new Dictionary<string, FunctionElement>();
for (int i = 0; i < this.Values.Length; i++)
{
if (!this.Values[i].IsConstant())
{
var d1 = this.Values[i].GetVariablesByConstant(l.Values[i]);
if (d1 == null)
{
return null;
}
foreach (var item in d1)
{
if (d.ContainsKey(item.Key))
{
if (!d[item.Key].Equals(item.Value))
{
return null;
}
}
else
{
d.Add(item.Key, item.Value);
}
}
}
else
{
if (!this.Values[i].Equals(l.Values[i]))
{
return null;
}
}
}
return d;
}
public override FunctionElement SetVariableValue(string name, FunctionElement value)
{
List<FunctionElement> fs = new List<FunctionElement>();
foreach (var v in this.Values)
{
fs.Add(v.SetVariableValue(name, value));
}
return new ListVariable(fs.ToArray());
}
public void ReplaceThisWithElement(FunctionElement el)
{
this._initProperties();
this._isModified = true;
if (el is Function)
{
this.variables = new List<VariablesMulriplication>((el as Function).variables);
this.CopyFunctions(el);
}
else
{
this.AddVariablesMul(new VariablesMulriplication(el));
this.CopyFunctions(el);
}
}
public override Dictionary<string, FunctionElement> GetVariablesByConstant(FunctionElement e)
{
if (this.IsLeaf())
{
return this.ToLeaf().GetVariablesByConstant(e);
}
return new Equation(this, new Function(e)).RigorousSolution();
//throw new NotImplementedException();
}
public Function ForceMul(FunctionElement e)
{
if (e.IsDouble() && e.ToDouble() == 1)
{
return this.Clone() as Function;
}
if (this.MathFunctions.Count != 0)
{
return this * e;
}
Function f = new Function();
this.variables.ForEach(vs => f += vs * e);
f.CopyFunctions(this);
return f;
}
private static Function _mul(FunctionElement e1, FunctionElement e2)
{
return e1.ToVariableMultiplication() * e2;
}
public FunctionElement ApplyFunctions(FunctionElement e)
{
var f = this.Clone() as FunctionElement;
foreach (var mf in e.MathFunctions)
{
FunctionElement[] _params = new FunctionElement[mf.Item2.Length];
for (int i = 0; i < mf.Item2.Length; i++)
{
_params[i] = mf.Item2[i].Clone() as FunctionElement;
}
f = f.ApplyFunction(mf.Item1.FunctionName, _params);
}
return f;
}
public override FunctionElement SetVariableValue(string name, FunctionElement value)
{
if (value.IsDouble())
{
return this.SetVariableValue(name, value.ToDouble());
}
if (this.Name.Equals(name))
{
var temp = value.Clone() as FunctionElement;
temp.ForceAddFunctions(this);
return temp;
}
return this.Clone() as FunctionElement;
}
public override Dictionary<string, FunctionElement> GetVariablesByConstant(FunctionElement e)
{
return new Dictionary<string, FunctionElement>()
{
{ this.Name, this.ReverseAllFunctionsTo(e).Item2 }
};
}
public Function GetRandomValue()
{
switch (this.Type)
{
case ColorSetType.Int:
if (this.ParsedAttributes[ColorSet.MinValueAttribute] == ColorSet.EmptyAttribute ||
this.ParsedAttributes[ColorSet.MaxValueAttribute] == ColorSet.EmptyAttribute)
{
throw new Exception();
}
return new Function(r.Next(Int32.Parse(this.ParsedAttributes[ColorSet.MinValueAttribute]),
Int32.Parse(this.ParsedAttributes[ColorSet.MaxValueAttribute])));
case ColorSetType.String:
throw new Exception();
case ColorSetType.Enum:
return new Function(this.ParsedAttributes[Function.KeyOfIndex(r.Next(1, this.ParsedAttributes.Count))]);
case ColorSetType.Bool:
return new Function(r.Next(0, 1) == 0 ? ColorSet.TrueDefault : ColorSet.FalseDefault);
case ColorSetType.Unit:
return new Function(ColorSet.UnitDefault);
case ColorSetType.Index:
return new Function(String.Format("{0}[{1}]", this.Name, r.Next(Int32.Parse(ColorSet.FromAttribute), Int32.Parse(ColorSet.ToAttribute))));
case ColorSetType.Record:
StringBuilder sb = new StringBuilder();
foreach (var attr in this.ParsedAttributes)
{
sb.AppendFormat("{0}, ", this.Collection.GetColorSet(attr.Value).GetRandomValue());
}
sb = sb.Remove(sb.Length - 2, 2);
return new Function(String.Format("{1} {0} {2}", sb.ToString(), "{", "}"));
case ColorSetType.List:
if (this.ParsedAttributes[ColorSet.MinLengthAttribute] == ColorSet.EmptyAttribute ||
this.ParsedAttributes[ColorSet.MaxLengthAttribute] == ColorSet.EmptyAttribute)
{
throw new Exception();
}
int count = r.Next(
Int32.Parse(this.ParsedAttributes[ColorSet.MinLengthAttribute]),
Int32.Parse(this.ParsedAttributes[ColorSet.MaxLengthAttribute]));
FunctionElement[] elements = new FunctionElement[count];
for (int i = 0; i < count; i++)
{
elements[i] = this.Collection.GetColorSet(this.ParsedAttributes[ColorSet.ElementsColor]).GetRandomValue();
}
return new Function(new ListVariable(elements));
default:
throw new Exception();
}
}
public FunctionElement CalculateRevers(FunctionElement d1, FunctionElement d2)
{
return base.CalculateReverse(d1, d2);
}
private string getVarString(FunctionElement e)
{
//var degree = Math.Abs(e.Degree);
//if (degree == 1)
//{
// return e.Name;
//}
///*if (degree == 0.5)
//{
// return String.Format("sqrt({0})", e.Name);
//}*/
//if (e is Variable)
//{
// return String.Format("{0}^{1}", e.Name, degree);
//}
//else
//{
// if ((e as Function).IsNeedBracketsForPower())
// {
// return String.Format("({0})^{1}", e.Name, degree);
// }
// else
// {
// return String.Format("{0}^{1}", e.Name, degree);
// }
//}
return e.ToString();
}
private string getVarMLString(FunctionElement e, bool needBrackets = true)
{
//MagicLibrary.MathUtils.MathFunctions.PowerFunction p = new MathFunctions.PowerFunction(e.Degree);
//var format = p.FormatPower();
//var name = e.ToMathMLShort();
//if (e is Function && (e as Function).IsNeedBracketsForPower() && (
// p.IsNeedBrackets() ||
// needBrackets
// ))
//{
// name = String.Format("<mfenced><mrow><mi>{0}</mi></mrow></mfenced>", name);
//}
//else
//{
// name = String.Format("<mi>{0}</mi>", name);
//}
//return String.Format(format, name);
return e.ToMathML();
}
public abstract FunctionElement SetVariableValue(string name, FunctionElement value);
private static Function _div(double d, FunctionElement e)
{
return new VariablesMulriplication(d) / e;
}
public double Calculate(double d)
{
double result = d;
foreach (var mf in this.MathFunctions)
{
FunctionElement[] _params = new FunctionElement[mf.Item2.Length + 1];
_params[0] = new Function(result);
for (int i = 0; i < mf.Item2.Length; i++)
{
_params[i + 1] = mf.Item2[i];
}
result = mf.Item1.Calculate(_params).ToDouble();
}
return result;
}
private static Function _mul(FunctionElement e, double d)
{
return e.ToVariableMultiplication() * d;
}
public void CopyFunctions(FunctionElement e)
{
this._isModified = true;
this.MathFunctions.Clear();
this.ForceAddFunctions(e);
}
public override FunctionElement SetVariableValue(string name, FunctionElement e)
{
Function newF = new Function();
this.variables.ForEach(v => newF += v.SetVariableValue(name, e));
//newF.Degree = this.Degree;
//newF.Functions = new List<MathFunctions.IMathFunction>(this.Functions);
newF.ForceAddFunctions(this);
foreach (var mf in newF.MathFunctions)
{
for (int i = 0; i < mf.Item2.Length; i++)
{
mf.Item2[i] = mf.Item2[i].SetVariableValue(name, e);
}
}
return newF.Recalc();
}
/// <summary>
/// Force append of function of anouther function element
/// </summary>
/// <param name="e"></param>
public void ForceAddFunctions(FunctionElement e)
{
this._isModified = true;
foreach (var mf in e.MathFunctions)
{
FunctionElement[] _params = new FunctionElement[mf.Item2.Length];
for (int i = 0; i < mf.Item2.Length; i++)
{
_params[i] = mf.Item2[i].Clone() as FunctionElement;
}
this.ForceAddFunction(mf.Item1.FunctionName, _params);
}
}
public Function(FunctionElement el)
{
this.ReplaceThisWithElement(el);
}
public abstract Dictionary<string, FunctionElement> GetVariablesByConstant(FunctionElement e);
private static Function _fromStringWithoutBracers(string func, List<Function> fs)
{
string f = func.Trim();
string _fMask = String.Format("^{0}$", Regex.Escape(String.Format(Function._funcMask, "```")).Replace("```", "(?<index>\\d+)"));
string mask = _fMask;//@"^\[_f(?<index>\d+)\]$";
var m = Regex.Match(f, mask);
if (m.Success)
{
var index = Int32.Parse(m.Groups["index"].Value);
if (index >= fs.Count)
{
throw new InvalidFunctionStringException(func);
}
return fs[index];
}
// check math functions
foreach (var mf in Function._allFunctions)
{
string[] _paramsIndexes = new string[mf.ParamsCount];
for (int i = 0; i < mf.ParamsCount; i++)
{
_paramsIndexes[i] = String.Format(@"\s*(?<p{0}>.+)\s*", i);
}
mask = String.Format(String.Format("^{0}$", mf.ToStringFormat), _paramsIndexes);
m = Regex.Match(f, mask);
if (m.Success)
{
try
{
FunctionElement[] _params = new FunctionElement[mf.ParamsCount];
for (int i = 0; i < mf.ParamsCount; i++)
{
_params[i] = Function._fromStringWithoutBracers(m.Groups[String.Format("p{0}", i)].Value, fs);
}
try
{
return new Function(mf.Calculate(_params));
} // Skip this, because it can be other function with same signature.. Блять, прям перегрузка функций
catch (InvalidMathFunctionParameters)
{ }
}
catch (InvalidFunctionStringException)
{ }
}
}
// Digit
mask = @"^\s*(?<value>(?<minus>-?)\s*(?<digit>\d+([\.\,]\d+)?))\s*$";
m = Regex.Match(f, mask);
if (m.Success)
{
return new Function(Double.Parse(m.Groups["minus"].Value + m.Groups["digit"].Value));
}
// Variable
try
{
var v = new Variable("");
v.ParseFromString(f);
return new Function(v);
}
catch { }
try
{
var s = new StringVariable("");
s.ParseFromString(f);
return new Function(s);
}
catch { }
try
{
if (f.Contains('{'))
{
for (int i = 0; i < fs.Count; i++)
{
if (f.IndexOf(String.Format(Function._funcMask, i)) != -1)
{
f = f.Replace(String.Format(Function._funcMask, i), String.Format("({0})", fs[i].ToString()));
}
}
var v = new RecordVariable(f);
return new Function(v);
}
}
catch { }
try
{
if (f.Contains(ListVariable.OpenBracer))
{
for (int i = 0; i < fs.Count; i++)
{
if (f.IndexOf(String.Format(Function._funcMask, i)) != -1)
{
f = f.Replace(String.Format(Function._funcMask, i), String.Format("({0})", fs[i].ToString()));
}
}
var v = new ListVariable(f);
return new Function(v);
}
}
catch { }
throw new InvalidFunctionStringException(func);
}
public void OverrideFunction(FunctionElement e)
{
this.MathFunctions.Clear();
this.OverrideFunction(this.ApplyFunctions(e));
}
public ListVariable(FunctionElement[] values)
: base()
{
this.MathFunctions = new List<Tuple<MathFunctions.IMathFunction, FunctionElement[]>>();
this.Values = values;
}
/// <summary>
/// It's work like this
/// x^2 = y
/// this = x^2
/// other = y
/// this.ReverseAllFunctionsTo(other)
/// => this = x
/// other = y ^ -2
/// It change current instance!
/// </summary>
/// <param name="e"></param>
/// <returns>Item1 - modified original object, Item2 - modified e param</returns>
public Tuple<FunctionElement, FunctionElement> ReverseAllFunctionsTo(FunctionElement e)
{
FunctionElement e1;
if (this.IsLeaf())
{
e1 = this.ToLeaf();
}
else
{
e1 = this.Clone() as FunctionElement;
}
var e2 = e.Clone() as FunctionElement;
for (int i = e1.MathFunctions.Count - 1; i >= 0; i--)
{
if (!e1.MathFunctions[i].Item1.HasReverse())
{
break;
}
List<FunctionElement> pars = new List<FunctionElement>();
pars.Add(e2);
pars.AddRange(e1.MathFunctions[i].Item2);
e2 = e1.MathFunctions[i].Item1.CalculateReverse(pars.ToArray());
//e2 = e2.ApplyFunction(e1.MathFunctions[i].Item1.FunctionName, e1.MathFunctions[i].Item2);
e1.MathFunctions.RemoveAt(i);
}
Function e11 = new Function(e1);
return new Tuple<FunctionElement,FunctionElement>(new Function(e1), e2);
}
public FunctionMatrixElement(FunctionElement fe)
{
this.Function = new Function(fe);
}
public bool SameMathFunctionsWith(FunctionElement e)
{
if (this.MathFunctions.Count != e.MathFunctions.Count)
{
return false;
}
for (int i = 0; i < this.MathFunctions.Count; i++)
{
if (this.MathFunctions[i].Item1 != e.MathFunctions[i].Item1 ||
this.MathFunctions[i].Item2.Length != e.MathFunctions[i].Item2.Length)
{
return false;
}
for (int j = 0; j < this.MathFunctions[i].Item2.Length; j++)
{
if (!this.MathFunctions[i].Item2[j].Equals(e.MathFunctions[i].Item2[j]))
{
return false;
}
}
}
return true;
}
