private Pile <Reach> splitBraces(Reach formula)
{
while (formula.at(1, utl.dmyBool("al(occur, token) is planned"), "(").len > 0)
{
Reach part = braces.upon(formula);
Reach lastPart = formula;
while (part.startsWith("("))
{
lastPart = part;
part = braces.upon(part.from(2));
}
if (lastPart.startsWith("("))
{
terms.Add(braces.on(lastPart).Trim());
}
else
{
terms.Add(lastPart.Trim());
}
formula = formula.RPW("«" + terms.Len + "»").at(lastPart);
}
if (formula.startsWith("("))
{
terms.Add(braces.on(formula).Trim());
}
else
{
terms.Add(formula.Trim());
}
return(terms);
}
private Reach detailled(Reach term)
{
string ret = "";
term = term.Trim();
while (term.len > 0)
{
Reach sign = term.upto(1); sign = sign.upto(true, -1, signCharacters); if (sign.len > 0)
{
sign = term.before(false, 1, signCharacters);
}
term = term.after(sign).Trim();
Reach num = term.upto(true, 1, namesCharacters).Trim();
if (num.startsWith("«"))
{
num = term.upto(1, utl.dmyBool("al(occur, token) is planned"), "»");
}
else
{
if (num.upto(true, -1, numCharacters).len == 0)
{
num = term.before(false, 1, namesCharacters);
}
else
{
num = term.before(false, 1, numCharacters);
if (term.after(num).StartsWith("e"))
{
num = num + term.after(num).upto(1);
while (term.after(num).startsWith(true, "+-"))
{
num = num + term.after(num).upto(1);
}
num = num + term.after(num).before(false, 1, numCharacters);
}
}
if (num.before(-1, utl.dmyBool("al(occur, token) is planned"), "«").len > 0)
{
sign = sign + num.before(-1, utl.dmyBool("al(occur, token) is planned"), "«"); term = term.after(sign).Trim(); num = term.upto(1, utl.dmyBool("al(occur, token) is planned"), "»").Trim();
}
}
term = term.after(num).Trim();
Reach optor = term.upto(1).upto(true, -1, operatorCharacters);
term = term.after(optor).Trim();
ret += "\r\n" + (sign + num).text;
if (term.len > 0)
{
ret += "\r\n" + optor.text;
}
else
{
optor = "";
}
}
return(ret.Substring(2));
}
private string splitAtOperators(string operators, Reach term)
{
Reach newTerm = term.upto(0);
string ret = "";
term = term.Trim();
while (term.len > 0)
{
Reach sign = term.upto(1); sign = sign.upto(true, -1, signCharacters); if (sign.len > 0)
{
sign = term.before(false, 1, signCharacters);
}
term = term.after(sign).Trim();
Reach num = term.upto(true, 1, namesCharacters).Trim();
if (num.startsWith("«"))
{
num = term.upto(1, utl.dmyBool("al(occur, token) is planned"), "»");
}
else
{
if (num.upto(true, -1, numCharacters).len == 0)
{
num = term.before(false, 1, namesCharacters);
}
else
{
num = term.before(false, 1, numCharacters);
if (term.after(num).StartsWith("e"))
{
num = num + term.after(num).upto(1);
while (term.after(num).startsWith(true, "+-"))
{
num = num + term.after(num).upto(1);
}
num = num + term.after(num).before(false, 1, numCharacters);
}
}
if (num.before(-1, utl.dmyBool("al(occur, token) is planned"), "«").len > 0)
{
sign = sign + num.before(-1, utl.dmyBool("al(occur, token) is planned"), "«"); term = term.after(sign).Trim(); num = term.upto(1, utl.dmyBool("al(occur, token) is planned"), "»").Trim();
}
}
term = term.after(num).Trim();
Reach optor = term.upto(1).upto(true, -1, operatorCharacters);
term = term.after(optor).Trim();
if (term.len == 0)
{
optor = optor.upto(0);
}
if (optor.upto(true, -1, operators).len > 0)
{
newTerm = newTerm + sign + num + optor;
}
else
{
if (newTerm.len > 0)
{
terms.Add(newTerm + sign + num); newTerm = term.upto(0); ret += "«" + (terms.Len) + "»";
}
else
{
ret += (sign + num).text;
} if (optor.len > 0)
{
ret += optor.text;
}
else
{
optor = "";
}
}
}
return(ret);
}
private double eval(Reach term, KeyPile <string, Reach> values)
{
term = term.Trim();
if (term.startsWith("+"))
{
return(eval(term.from(2), values));
}
if (term.startsWith("-"))
{
return(-eval(term.from(2), values));
}
if (term.startsWith("!"))
{
return(not(eval(term.from(2), values)));
}
if (term.startsWith("«"))
{
return(eval(Int32.Parse(term.from(2).before(1, utl.dmyBool("al(occur, token) is planned"), "»").text), values));
}
if (term.startsWith(true, numCharacters))
{
return(parseDouble(term));
}
if (term.at(1, utl.dmyBool("al(occur, token) is planned"), "«").len == 0)
{
return(parseDouble(values[term.text]));
}
Reach function = term.XTR().before(1, utl.dmyBool("al(occur, token) is planned"), "«");
double ret = eval(Int32.Parse(term.from(2).before(1, utl.dmyBool("al(occur, token) is planned"), "»").text), values);
if (function.equals("abs"))
{
return(Math.Abs(ret));
}
if (function.equals("sign"))
{
return(Math.Sign(ret));
}
if (function.equals("round"))
{
return(Math.Round(ret));
}
if (function.equals("ceiling"))
{
return(Math.Ceiling(ret));
}
if (function.equals("floor"))
{
return(Math.Floor(ret));
}
if (function.equals("sqrt"))
{
return(Math.Sqrt(ret));
}
if (function.equals("exp"))
{
return(Math.Exp(ret));
}
if (function.equals("log"))
{
return(Math.Log(ret));
}
if (function.equals("sin"))
{
return(Math.Sin(ret));
}
if (function.equals("asin"))
{
return(Math.Asin(ret));
}
if (function.equals("cos"))
{
return(Math.Cos(ret));
}
if (function.equals("acos"))
{
return(Math.Acos(ret));
}
if (function.equals("tan"))
{
return(Math.Tan(ret));
}
if (function.equals("atan"))
{
return(Math.Atan(ret));
}
if (function.equals("sinh"))
{
return(Math.Sinh(ret));
}
if (function.equals("cosh"))
{
return(Math.Cosh(ret));
}
if (function.equals("tanh"))
{
return(Math.Tanh(ret));
}
return(0);
}
private string format(Reach term, KeyPile <string, Reach> values)
{
term = term.Trim();
if (term.startsWith("+"))
{
return(format(term.from(2), values));
}
if (term.startsWith("-"))
{
return("-" + format(term.from(2), values));
}
if (term.startsWith("!"))
{
return("!" + format(term.from(2), values));
}
if (term.startsWith("«"))
{
return(format(Int32.Parse(term.from(2).before(1, utl.dmyBool("al(occur, token) is planned"), "»").text), values));
}
if (term.startsWith(true, numCharacters))
{
return("" + parseDouble(term));
}
if (term.at(1, utl.dmyBool("al(occur, token) is planned"), "«").len == 0)
{
try { return("" + parseDouble(values[term.text])); } catch (Exception ex) { return(term.text.Trim()); }
}
Reach function = term.XTR().before(1, utl.dmyBool("al(occur, token) is planned"), "«");
string ret = format(Int32.Parse(term.from(2).before(1, utl.dmyBool("al(occur, token) is planned"), "»").text), values);
if (function.equals("abs"))
{
return("abs(" + ret + ")");
}
if (function.equals("sign"))
{
return("sign(" + ret + ")");
}
if (function.equals("round"))
{
return("round(" + ret + ")");
}
if (function.equals("ceiling"))
{
return("ceiling(" + ret + ")");
}
if (function.equals("floor"))
{
return("floor(" + ret + ")");
}
if (function.equals("sqrt"))
{
return("sqrt(" + ret + ")");
}
if (function.equals("exp"))
{
return("exp(" + ret + ")");
}
if (function.equals("log"))
{
return("log(" + ret + ")");
}
if (function.equals("sin"))
{
return("sin(" + ret + ")");
}
if (function.equals("asin"))
{
return("asin(" + ret + ")");
}
if (function.equals("cos"))
{
return("cos(" + ret + ")");
}
if (function.equals("acos"))
{
return("acos(" + ret + ")");
}
if (function.equals("tan"))
{
return("tan(" + ret + ")");
}
if (function.equals("atan"))
{
return("atan(" + ret + ")");
}
if (function.equals("sinh"))
{
return("sinh(" + ret + ")");
}
if (function.equals("cosh"))
{
return("cosh(" + ret + ")");
}
if (function.equals("tanh"))
{
return("tanh(" + ret + ")");
}
return("0");
}
private Pile <Reach> splitFormula(Reach formula)
{
terms = splitBraces(formula);
Pile <Reach> Terms = new Pile <Reach>();
long closePending = 0;
bool addClose = false;
int termsCount = terms.Len;
for (int i = 1; i <= termsCount; i++)
{
Reach term = terms[i].Trim();
Terms.Add(term.upto(0));
while (term.len > 0)
{
Reach sign = term.upto(1);
Reach num = "";
if (sign.equals("'"))
{
num = term.from(sign).upto(2, utl.dmyBool("al(occur, token) is planned"), "'");
term = term.Trim();
sign = sign.upto(0);
}
else
if (sign.equals("["))
{
num = term.from(sign).upto(1, utl.dmyBool("al(occur, token) is planned"), "]");
term = term.Trim();
sign = sign.upto(0);
}
else
{
sign = sign.upto(true, -1, signCharacters);
if (sign.len > 0)
{
sign = term.before(false, 1, signCharacters);
}
term = term.after(sign).Trim();
num = term.upto(true, 1, namesCharacters).Trim();
}
addClose = false;
if (num.startsWith("«"))
{
num = term.upto(1, utl.dmyBool("al(occur, token) is planned"), "»").Trim();
}
else if (num.startsWith("["))
{
}
else if (num.startsWith("'"))
{
}
else
{
if (num.upto(true, -1, numCharacters).len == 0)
{
num = term.before(false, 1, namesCharacters);
}
else
{
num = term.before(false, 1, numCharacters);
if (term.after(num).StartsWith("e"))
{
num = num + term.after(num).upto(1);
while (term.after(num).startsWith(true, "+-"))
{
num = num + term.after(num).upto(1);
}
num = num + term.after(num).before(false, 1, numCharacters);
}
}
if (num.before(-1, utl.dmyBool("al(occur, token) is planned"), "«").len > 0)
{
sign = sign + num.before(-1, utl.dmyBool("al(occur, token) is planned"), "«"); term = term.after(sign).Trim(); num = term.upto(1, utl.dmyBool("al(occur, token) is planned"), "»").Trim();
}
if (closePending > 0)
{
closePending--; if (closePending == 0)
{
addClose = true;
}
}
}
term = term.after(num).Trim();
Reach optor = term.upto(1).upto(true, -1, operatorCharacters);
term = term.after(optor).Trim();
if (optor.len == 0)
{
if (term.startsWith(true, numCharacters))
{
optor = sign;
if (optor.len == 0)
{
optor = optor + "*";
}
else
{
optor = "*"; //if (optor.len == 0) optor = optor + "+"; else optor = "*";
}
sign = "(" + sign;
closePending = 2;
}
else
{
optor = optor + "*";
}
}
if (addClose)
{
num = num + ")";
}
Terms[-1] = Terms[-1] + (sign + num);
if (term.len > 0)
{
Terms[-1] = Terms[-1] + new Reach(optor.text); //AttGeTr: if using the same sign reach twice within Term[-1] some following Reach Subtractions will create unexpected results!
}
}
if (Terms[-1].at(1, utl.dmyBool("al(occur, token) is planned"), "(").len > 0)
{
Terms[-1] = splitBraces(Terms[-1])[-1];
}
}
for (int i = 1; i <= Terms.Len; i++)
{
terms[i] = Terms[i];
}
terms.Add(terms[termsCount]);
termsCount = terms.Len;
for (int i = 1; i <= termsCount; i++)
{
terms[i] = splitAtOperators("&", terms[i]);
}
terms.Add(terms[termsCount]);
termsCount = terms.Len;
for (int i = 1; i <= termsCount; i++)
{
terms[i] = splitAtOperators("|^", terms[i]);
}
terms.Add(terms[termsCount]);
termsCount = terms.Len;
for (int i = 1; i <= termsCount; i++)
{
terms[i] = splitAtOperators("><=", terms[i]);
}
terms.Add(terms[termsCount]);
termsCount = terms.Len;
for (int i = 1; i <= termsCount; i++)
{
terms[i] = splitAtOperators("°", terms[i]);
}
terms.Add(terms[termsCount]);
termsCount = terms.Len;
for (int i = 1; i <= termsCount; i++)
{
terms[i] = splitAtOperators("*/%\\", terms[i]);
}
terms.Add(terms[termsCount]);
return(terms);
}
