/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula f = FormulaCreator.CreateFormula(tree[0], level, sizes);
MathFormula p = FormulaCreator.CreateFormula(tree[1], (byte)((int)level + 1), sizes);
IObjectOperation op = tree[0].Operation;
if (op.IsPowered())
{
if (op is ElementaryFunctionOperation)
{
f.First[0] = p;
}
else
{
f.Last[0] = p;
}
return(f);
}
MathFormula form = new MathFormula(level, sizes);
MathSymbol s = new BracketsSymbol();
s.Append(form);
form.First[0] = p;
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="operation">Operation of formula creator</param>
/// <param name="tree">Tree</param>
/// <param name="level">Level</param>
/// <param name="sizes">Sizes</param>
/// <param name="str">Str of binrary</param>
/// <returns>The formula</returns>
public static MathFormula CreateFormula(IFormulaCreatorOperation operation, ObjectFormulaTree tree, byte level, int[] sizes, string str)
{
MathFormula form = new MathFormula(level, sizes);
for (int i = 0; i < str.Length + 1; i++)
{
IFormulaCreatorOperation op = tree[i].Operation as IFormulaCreatorOperation;
MathFormula f = op.CreateFormula(tree[i], level, sizes);
MathFormula fp = null;
if (op.OperationPriority < operation.OperationPriority)
{
fp = new MathFormula(level, sizes);
MathSymbol s = new BracketsSymbol();
s.Append(fp);
fp.First[0] = f;
}
else
{
fp = f;
}
form.Add(fp);
if (i < str.Length)
{
MathSymbol s = new BinarySymbol(str[i]);
s.Append(form);
}
}
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
for (int i = 0; i < 2; i++)
{
IFormulaCreatorOperation op = tree[i].Operation as IFormulaCreatorOperation;
MathFormula f = op.CreateFormula(tree[i], level, sizes);
MathFormula fp = null;
if (op.OperationPriority < OperationPriority)
{
fp = new MathFormula(level, sizes);
MathSymbol s = new BracketsSymbol();
s.Append(fp);
fp.First[0] = f;
}
else
{
fp = f;
}
form.Add(fp);
if (i == 0)
{
MathSymbol s = new BinarySymbol(symbol);
s.Append(form);
}
}
return(form);
}
string IFormulaSaver.Save(MathFormula formula)
{
XElement doc = XElement.Parse("<Root/>");
XElement e = MathFormula.CreateElement(formula, creator);
doc.Add(e);
return(doc + "");
}
/// <summary>
/// Constructor of subformula
/// </summary>
/// <param name="form">the initial formula</param>
/// <param name="n1">the index of start symbol</param>
/// <param name="n2">the index of finish symbol</param>
public MathFormula(MathFormula form, int n1, int n2)
: this(form.level, form.sizes)
{
for (int i = n1; i <= n2; i++)
{
Add(form[i]);
}
}
/// <summary>
/// Loads formula
/// </summary>
/// <param name="str">String representation</param>
/// <returns>The formula</returns>
public virtual MathFormula Load(string str)
{
XElement doc = XElement.Parse(str);
MathFormula f = MathFormula.CreateFormula(doc.GetFirst(), creator);
f.SetLevel(0x0);
return(f);
}
/// <summary>
/// Initialization of derivation calculation functions
/// </summary>
public static void InitDeri()
{
functionDerivations = new ObjectFormulaTree[formStrings.Length];
for (int i = 0; i < formStrings.Length; i++)
{
MathFormula f = MathFormula.FromString(MAX_SIZES, formStrings[i]);
functionDerivations[i] = ObjectFormulaTree.CreateTree(f.FullTransform(null));
}
}
/// <summary>
/// Converts formula to string
/// </summary>
/// <param name="formula">Formula to convert</param>
/// <returns>String representation of formula</returns>
public string Convert(MathFormula formula)
{
string s = "";
for (int i = 0; i < formula.Count; i++)
{
s += Convert(formula[i]);
}
return(s);
}
/// <summary>
/// Creates formula from string
/// </summary>
/// <param name="sizes">The sizes</param>
/// <param name="str">The string</param>
/// <returns>The formula</returns>
public static MathFormula FromString(int[] sizes, string str)
{
MathFormula f = saver.Load(str);
f.Sizes = sizes;
return(f);
/* try
* {
* //string[] s = str.Split(byteSep);
* byte[] b = new byte[str.Length];
* for (int i = 0; i < b.Length; i++)
* {
* b[i] = (byte)(str[i]);
* }
* System.IO.MemoryStream stream = new System.IO.MemoryStream(b);
* MathFormula form = formatter.Deserialize(stream) as MathFormula;
* form.Post();
* form.Sizes = sizes;
* return form;
* }
* catch (Exception eee)
* {
* string sm = eee.StackTrace;
* sm = null;
* }
* try
* {
* f = new MathFormula(0, sizes, str, 0, str.Length,
* ElementaryFormulaStringConverter.Object);
* new ObjectFormulaTree(f.FullTransform(null));
* return f;
* }
* catch (Exception)
* {
* /* ArrayList list = new ArrayList();
* for (int i = 0; i < str.Length; i++)
* {
* char c = str[i];
* byte[] b = new byte[] { (byte)c };
* list.Add(b);
* }
* try
* {
* MathFormula fo = new MathFormula(0, sizes, list, 0, str.Length);
* //new ObjectFormulaTree(fo.FullTransform);
* return fo;
* }
* catch (Exception)
* {
* }
* }
* return f;
*/
}
/// <summary>
/// Copies this formula
/// </summary>
/// <returns>the copy</returns>
public virtual MathFormula Copy()
{
form = new MathFormula(level, sizes);
for (int i = 0; i < Count; i++)
{
MathSymbol s = this[i].Copy();
s.Parent = form;
form.Add(s);
}
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
MathSymbol sym = new FractionSymbol();
sym.Append(form);
for (int i = 0; i < 2; i++)
{
form.First[i] = FormulaCreator.CreateFormula(tree[i], level, sizes);
}
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
BinaryFunctionSymbol atan = new BinaryFunctionSymbol('A', "atan2");
atan.Append(form);
for (int i = 0; i < 2; i++)
{
form.First[i] = FormulaCreator.CreateFormula(tree[i], level, sizes);
}
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
MathFormula f = new MathFormula(level, sizes);
MathSymbol sym = new SimpleSymbol('¬', (byte)FormulaConstants.Unary, false, "¬");
sym.Append(form);
sym = new BracketsSymbol();
sym.Append(form);
form.Last[0] = FormulaCreator.CreateFormula(tree[0], level, sizes);
return(form);
}
/// <summary>
/// Creates element from formula
/// </summary>
/// <param name="formula">Formula</param>
/// <param name="document">Document</param>
/// <param name="creator">Creator</param>
/// <returns>Element</returns>
public static XElement CreateElement(MathFormula formula,
IXmlSymbolCreator creator)
{
XElement e = formula.CreateXElement("F");
for (int i = 0; i < formula.Count; i++)
{
XElement el = MathSymbol.CreateElement(formula[i], creator);
e.Add(el);
}
return(e);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
MathSymbol sym = new SeriesSymbol(index);
sym.Append(form);
sym = new BracketsSymbol();
sym.Append(form);
form.Last[0] = FormulaCreator.CreateFormula(tree[0], level, sizes);
form.Last[1] = new MathFormula((byte)(level + 1), sizes);
return(form);
}
/// <summary>
/// Gets variables of formula
/// </summary>
/// <param name="formula">The formula</param>
/// <returns>String of variables</returns>
static public string GetVariables(MathFormula formula)
{
List <char> s = new List <char>();
GetVariables(formula, s);
string str = "";
foreach (char c in s)
{
str += c;
}
return(str);
}
/// <summary>
/// Full transformation
/// </summary>
public MathFormula FullTransform(string prohibited)
{
MathFormula f = Copy();
Zero();
f.TranNumber();
f.WrapFunctions();
f.Wrap(prohibited);
f.InsertMult(prohibited);
StringDetector sDetector = new StringDetector(0x0, false, false);
f = sDetector.Convert(f);
return(f);
}
/// <summary>
/// Creates formula from Xml element
/// </summary>
/// <param name="e">Element</param>
/// <param name="creator">Creator of symbols</param>
/// <returns>Formula</returns>
public static MathFormula CreateFormula(XElement e, IXmlSymbolCreator creator)
{
MathFormula f = new MathFormula((byte)0);
IEnumerable <XElement> l = e.GetElementsByTagName("S");
foreach (XElement el in l)
{
if (el.Parent != e)
{
continue;
}
MathSymbol s = MathSymbol.CreateSymbol(el, creator);
s.AppendWithChildren(f);
}
return(f);
}
/// <summary>
/// Adds the formula to this formula
/// </summary>
/// <param name="formula">the formula to add</param>
public void Add(MathFormula formula)
{
int n = formula.Count;
for (int i = 0; i < n; i++)
{
if (formula[i].Children == null)
{
formula[i].Append(this);
}
else
{
symbols.Add(formula[i]);
formula[i].Parent = this;
}
}
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
MathSymbol sym = null;
if (symbol is Char)
{
sym = new SimpleSymbol((char)symbol);
}
else if (symbol is StringPair)
{
StringPair sp = symbol as StringPair;
sym = new SubscriptedSymbol(sp.First, sp.Second);
}
sym.Append(form);
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula f = FormulaCreator.CreateFormula(tree[0], level, sizes);
MathFormula form = new MathFormula(level, sizes);
AbsSymbol root = new AbsSymbol();
root.Append(form);
form.First[0] = f;
if (arity == 1)
{
return(form);
}
MathFormula p = FormulaCreator.CreateFormula(tree[1], (byte)((int)level + 1), sizes);
form.First[1] = p;
return(form);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
IFormulaCreatorOperation op = tree[0].Operation as IFormulaCreatorOperation;
MathFormula f = op.CreateFormula(tree[0], level, sizes);
MathSymbol s = new BracketsSymbol();
s.Append(form);
form.First[0] = f;
if (arity > 1)
{
IFormulaCreatorOperation opPower = tree[1].Operation as IFormulaCreatorOperation;
MathFormula p = opPower.CreateFormula(tree[0], level, sizes);
form.First[1] = p;
}
return(form);
}
/// <summary>
/// Resets auxiliary variables
/// </summary>
private void Zero()
{
s = First;
while (s != null)
{
if (s.HasChildren)
{
for (int i = 0; i < s.Count; i++)
{
s[i].Zero();
}
}
s = s.Next;
}
s = null;
s1 = null;
form = null;
}
/// <summary>
/// Constructor from prototype
/// </summary>
/// <param name="formula">Prototype</param>
/// <param name="converter">Symbol converter</param>
public MathFormula(MathFormula formula, IMathSymbolConverter converter)
: this(formula.Level, formula.Sizes)
{
for (int i = 0; i < formula.Count; i++)
{
MathSymbol s = formula[i];
MathSymbol sym = converter.Convert(s);
sym.Append(this);
sym = Last;
for (int j = 0; j < s.Count; j++)
{
if (s[j] != null)
{
sym[j] = new MathFormula(s[j], converter);
}
}
}
}
/// <summary>
/// Creates tree from formula
/// </summary>
/// <param name="formula">The formula</param>
/// <param name="creator">The creator</param>
/// <returns>The tree</returns>
public static ObjectFormulaTree CreateTree(MathFormula formula, IFormulaObjectCreator creator)
{
ObjectFormulaTree tree = new ObjectFormulaTree(formula, creator);
IObjectOperation op = tree.Operation;
if (op is ITreeCreator)
{
ITreeCreator tc = op as ITreeCreator;
ObjectFormulaTree tp = tc.Tree;
if (tp != null)
{
return(tp);
}
}
if (op == null)
{
return(null);
}
return(tree);
}
/// <summary>
/// Creates formula
/// </summary>
/// <param name="tree">Operation tree</param>
/// <param name="level">Formula level</param>
/// <param name="sizes">Sizes of symbols</param>
/// <returns>The formula</returns>
public MathFormula CreateFormula(ObjectFormulaTree tree, byte level, int[] sizes)
{
MathFormula form = new MathFormula(level, sizes);
MathFormula f = new MathFormula(level, sizes);
MathSymbol sym = null;
if (symbol == '-')
{
sym = new BinarySymbol('-');
}
else
{
sym = new SimpleSymbol(symbol, false, (byte)FormulaConstants.Unary);
}
sym.Append(form);
sym = new BracketsSymbol();
sym.Append(form);
form.Last.Children[0] = FormulaCreator.CreateFormula(tree[0], level, sizes);
form.Last.Children[1] = new MathFormula((byte)(level + 1), sizes);
return(form);
}
/// <summary>
/// Gets variables of fornula
/// </summary>
/// <param name="formula">The formula</param>
/// <param name="s">List of variables</param>
static public void GetVariables(MathFormula formula, List <char> s)
{
for (int i = 0; i < formula.Count; i++)
{
MathSymbol sym = formula[i];
if (sym.SymbolType == (byte)FormulaConstants.Variable)
{
char c = sym.Symbol;
if ((c != 'e') & (c != '%'))
{
if (!s.Contains(c))
{
s.Add(c);
}
}
}
for (int j = 0; j < sym.Count; j++)
{
GetVariables(sym[j], s);
}
}
}
/// <summary>
/// Overriden load method
/// </summary>
/// <param name="str">Source string</param>
/// <returns>Loaded formula</returns>
public override MathFormula Load(string str)
{
try
{
return(base.Load(str));
}
catch (Exception)
{
}
List <byte[]> list = new List <byte[]>();
for (int i = 0; i < str.Length; i++)
{
char c = str[i];
byte[] b = new byte[] { (byte)c };
list.Add(b);
}
MathFormula fo = new MathFormula(0, MathSymbolFactory.Sizes, list, 0, str.Length);
//new ObjectFormulaTree(fo.FullTransform);
return(fo);
}
MathFormula IFormulaSaver.Load(string str)
{
MathFormula f = null;
try
{
return(saver.Load(str));
}
catch (Exception ex)
{
}
try
{
f = new MathFormula(0, MathSymbolFactory.Sizes, str, 0, str.Length,
ElementaryFormulaStringConverter.Object);
ObjectFormulaTree.CreateTree(f.FullTransform(null));
return(f);
}
catch (Exception)
{
List <byte[]> list = new List <byte[]>();
for (int i = 0; i < str.Length; i++)
{
char c = str[i];
byte[] b = new byte[] { (byte)c };
list.Add(b);
}
try
{
MathFormula fo = new MathFormula(0, MathSymbolFactory.Sizes, list, 0, str.Length);
return(fo);
}
catch (Exception ex)
{
}
}
return(null);
}
/// <summary>
/// Transformation of properties
/// </summary>
/// <param name="formula"></param>
/// <returns></returns>
static public MathFormula TransformPropery(this MathFormula formula)
{
MathFormula form = new MathFormula(formula.Level, formula.Sizes);
int n = formula.Count;
for (int i = 0; i < n; i++)
{
MathSymbol s = formula[i].Copy();
List <MathFormula> c = s.Children;
if (i < n + 2)
{
MathSymbol p = formula[i + 1];
MathSymbol pn = formula[i + 2];
if (p.Symbol == '.')
{
s = new PropertySymbol(s.String, p.String);
}
}
s.Parent = form;
form.Add(s);
}
return(form);
}
