public int[][] ConvertLogicToConditional(string Logic)
{
string NewLogic = Logic.Replace("&&", "*").Replace("||", "+").Replace("&", "*").Replace("|", "+");
Dictionary <string, int> LetterToNum = new Dictionary <string, int>();
foreach (var i in ExtractNumbers(Logic))
{
var Letter = IndexToColumn(i + 1);
LetterToNum.Add(Letter, i);
}
LetterToNum = LetterToNum.OrderBy(x => x.Value).Reverse().ToDictionary(kvp => kvp.Key, kvp => kvp.Value);
foreach (var i in LetterToNum)
{
//Debugging.Log(i.ToString());
NewLogic = NewLogic.Replace(i.Value.ToString(), i.Key);
}
//Debugging.Log(NewLogic);
Expression LogicSet = Infix.ParseOrThrow(NewLogic);
var Output = Algebraic.Expand(LogicSet);
string ExpandedLogic = Infix.Format(Output).Replace(" ", "");
//Debugging.Log(ExpandedLogic);
foreach (var i in LetterToNum)
{
ExpandedLogic = ExpandedLogic.Replace(i.Key, i.Value.ToString());
}
ExpandedLogic = HandlePowers(ExpandedLogic.Replace(" ", ""));
return(ExpandedLogic.Split('+').Select(x => x.Split('*').Select(y => int.Parse(y)).ToArray()).ToArray());
}
public string mostraNovaEquacao()
{
/*var s = Expr.Variable("s");
* var t = Expr.Variable("t");*/
//MessageBox.Show("Equação geral: " + aL + "s² + " + cL + "t² - " + aL * cL + " = 0");
double[] num =
{
getAL(), getBL(), getCL(), getDL(), getEL(), getF()
};
double max = 0;
for (int i = 0; i < 6; i++)
{
if (num[i] > max)
{
max = num[i];
}
}
long[] num2 =
{
(long)max, (long)max, (long)max, (long)max, (long)max, (long)max
};
int j = 0;
for (int i = 0; i < 6; i++)
{
if (num[i] != 0)
{
num2[j] = (long)num[i];
j++;
}
}
double div = (double)Euclid.GreatestCommonDivisor(num2);
MessageBox.Show("MMC: " + div);
if (div != null && div != 0)
{
setAL(getAL() / div);
setBL(getBL() / div);
setCL(getCL() / div);
setDL(getDL() / div);
setEL(getEL() / div);
setF(getF() / div);
} // Simplifica a equação com o maior divisor entre eles
var eq = Infix.ParseOrThrow(getAL().ToString() + "*u*u+" + getBL().ToString() + "*u*v+" + getCL().ToString() + "*v*v+" + getDL().ToString() + "*u+" + getEL().ToString() + "*v+" + getF().ToString());
var expanded = Algebraic.Expand(eq);
MessageBox.Show("Equação Geral: " + Infix.FormatStrict(expanded), "Equação", MessageBoxButtons.OK, MessageBoxIcon.Exclamation);
// Agora falta simplificar a equação
return(Infix.FormatStrict(expanded).ToString());
}
public void calculaH_K(double[] coeficientes)
{
double a = coeficientes[0];
double b = coeficientes[1];
double c = coeficientes[2];
double d = coeficientes[3];
double e = coeficientes[4];
double f = coeficientes[5];
var A = Matrix <double> .Build.DenseOfArray(new double[, ]
{
{ Convert.ToInt32(a), Convert.ToInt32(b / 2) },
{ Convert.ToInt32(b / 2), Convert.ToInt32(c) },
});
MessageBox.Show("Matriz para calcular H e K: " + A.ToString());
var B = Vector <double> .Build.Dense(new double[] { -(d / 2), -(e / 2) });
var x = A.Solve(B);
MessageBox.Show("H e K: " + x.ToString());
h = x[0];
k = x[1];
if (!Double.IsInfinity(getH())) // Se o determinante deu diferente de zero foi possível realizar a translação
{
// Achar o novo termo independente da equação: (p.96)
setF((getD() / 2) * getH() + (getE() / 2) * getK() + getF());
var eq = Infix.ParseOrThrow(getA().ToString() + "*u*u+" + getB().ToString() + "*u*v+" + getC().ToString() + "*v*v+" + getF().ToString());
var expanded = Algebraic.Expand(eq);
MessageBox.Show("Translação realizada!\nNova equação da cônica:\n" + Infix.FormatStrict(expanded) + " ", "Translação Concluida", MessageBoxButtons.OK, MessageBoxIcon.Exclamation);
MessageBox.Show("Iniciando Rotação para elimianar o termo quadrático misto", "Iniciando Rotação", MessageBoxButtons.OK, MessageBoxIcon.Exclamation);
}
}
//mostraNovaEquacao2 retorna a equação após fazer a rotação e a translação conforme o caso na pag 99 das notas de aula
public string mostraNovaEquacao2()
{
// O termo independente continua o mesmo pois não foi realizada a translação
double[] num =
{
getAL(), getBL(), getCL(), getDL(), getEL(), getF()
};
double max = 0;
for (int i = 0; i < 6; i++)
{
if (num[i] > max)
{
max = num[i];
}
}
long[] num2 =
{
(long)max, (long)max, (long)max, (long)max, (long)max, (long)max
};
int j = 0;
for (int i = 0; i < 6; i++)
{
if (num[i] != 0)
{
num2[j] = (long)num[i];
j++;
}
}
double div = (double)Euclid.GreatestCommonDivisor(num2);
MessageBox.Show("MMC: " + div);
if (div != null && div != 0)
{
setAL(getAL() / div);
setBL(getBL() / div);
setCL(getCL() / div);
setDL(getDL() / div);
setEL(getEL() / div);
setF(getF() / div);
} // Simplifica a equação com o maior divisor entre eles
var eq = Infix.ParseOrThrow(getAL().ToString() + "*u*u+" + getBL().ToString() + "*u*v+" + getCL().ToString() + "*v*v+" + getDL().ToString() + "*u+" + getEL().ToString() + "*v+" + getF().ToString());
var expanded = Algebraic.Expand(eq);
MessageBox.Show("Equação Geral: " + Infix.FormatStrict(expanded), "Equação", MessageBoxButtons.OK, MessageBoxIcon.Exclamation);
return(Infix.FormatStrict(expanded).ToString());
// B = 0
// Agora simplificar a equação
}
public static string GetFullFormulaOptions([ExcelArgument(AllowReference = true)] object arg, bool replaceRef = false, bool resolveName = false, int decimalPlaces = 5)
{
try
{
//this removes the volatile flag
XlCall.Excel(XlCall.xlfVolatile, false);
ExcelReference theRef = (ExcelReference)arg;
Excel.Range rng = ReferenceToRange(theRef);
Debug.Print("Get formula for {0}", rng.Address);
ws = rng.Parent as Excel.Worksheet;
var parser = GetParser(rng);
var root = parser.Root;
var newFormula = GetFormulaForFunc(root, replaceRef, resolveName, -1);
Debug.Print(newFormula);
//remove the SUMs
var noSumVersion = GetFormulaWithoutSum(new XLParser.FormulaAnalyzer(newFormula).Root);
var cleanFormula = Infix.Format(Infix.ParseOrThrow(noSumVersion));
Debug.Print(cleanFormula);
var finalFormula = cleanFormula;
if (decimalPlaces > -1)
{
Debug.Print("Going back through a 2nd time");
cleanFormula = CleanUpSqrtAbs(cleanFormula);
parser = GetParser(cleanFormula);
var secondParserResult = GetFormulaForFunc(parser.Root, replaceRef, resolveName, decimalPlaces);
finalFormula = Infix.Format(Infix.ParseOrThrow(secondParserResult));
}
//see if a short version of the formula is available
var algFormula = Infix.Format(Algebraic.Expand(Infix.ParseOrThrow(finalFormula)));
var ratFormula = Infix.Format(Rational.Expand(Infix.ParseOrThrow(finalFormula)));
var shortFormula = new[] { algFormula, ratFormula, finalFormula }.OrderBy(c => c.Length).First();
//go through formula and search for |..| to replace with ABS(..)
shortFormula = CleanUpSqrtAbs(shortFormula);
return(shortFormula);
}
catch (Exception e)
{
Debug.Print(e.ToString());
return(e.ToString());
}
}
//create the function
Expr Taylor(int iterations, Expr symbol, Expr value, Expr function)
{
this.DerivativeList.Clear();
//counter for factorial
int factorial = 1;
//accumulates the results for each iteration (formula)
Expr accumulator = Expr.Zero;
//variable for holding the derivative of function for each iteration
Expr derivative = function;
for (int i = 0; i < iterations; i++)
{
//use for storing output
TaylorSeriesIteration OutputItem = new TaylorSeriesIteration();
//store the current iteration
OutputItem.Iteration = (i + 1).ToString();
//subs/replaces symbol with value from funct. Ex. symbol: x, func: x + 1, value: 1 result: 1 + 1
var subs = Structure.Substitute(symbol, value, derivative);
//get the derivative of derivative with respect to symbol
derivative = Calculus.Differentiate(symbol, derivative);
//output current derivative
OutputItem.Function = derivative;
//evaluate derivative, f(0)
var evalValue = new Dictionary <string, FloatingPoint> {
{ Infix.Format(symbol), 1 }
};
var eval = Evaluate.Evaluate(evalValue, Structure.Substitute(symbol, 0, derivative));
OutputItem.Evaluation = eval.ToString();
//create the formula and append to accumulator
accumulator = accumulator + subs / factorial * Expr.Pow(symbol - value, i);
//output current formula
OutputItem.Series = accumulator;
//current iteration + 1 as factorial (cause 0-based loop)
factorial *= (i + 1);
//append to list
this.DerivativeList.Add(OutputItem);
}
//return the formula/func in expanded form
return(Algebraic.Expand(accumulator));
}
public Expr FindRoot(ExprLast variable, ExprLast expr)
{
ExprLast simple = Algebraic.Expand(Rational.Numerator(Rational.Simplify(variable, expr)));
ExprLast[] coeff = Polynomial.Coefficients(variable, simple);
switch (coeff.Length)
{
case 1: return(ExprLast.Zero.Equals(coeff[0]) ? variable : ExprLast.Undefined);
case 2: return(Rational.Simplify(variable, Algebraic.Expand(-coeff[0] / coeff[1])));
default: return(ExprLast.Undefined);
}
}
Expr SolveSimpleRoot(Expr variable, Expr expr)
{
// try to bring expression into polynomial form
Expr simple = Algebraic.Expand(Rational.Numerator(Rational.Simplify(variable, expr)));
// extract coefficients, solve known forms of order up to 1
Expr[] coeff = Polynomial.Coefficients(variable, simple);
switch (coeff.Length)
{
case 1: return(Expr.Zero.Equals(coeff[0]) ? variable : Expr.Undefined);
case 2: return(Rational.Simplify(variable, Algebraic.Expand(-coeff[0] / coeff[1])));
default: return(Expr.Undefined);
}
}
public static void ParseFormula()
{
var _app = ExcelDnaUtil.Application;
app = (Excel.Application)_app;
ws = (Excel.Worksheet)app.ActiveSheet;
Excel.Range rng = (Excel.Range)app.ActiveCell;
Debug.Print(rng.Formula.ToString());
var parser = GetParser(rng);
var root = parser.Root;
var newFormula = GetFormulaForFunc(root, true, true, -1);
Debug.Print("processed formula: " + newFormula);
MessageBox.Show(newFormula);
var newParser = new XLParser.FormulaAnalyzer(newFormula);
var noSumVersion = GetFormulaWithoutSum(newParser.Root);
Debug.Print("no sum version: " + noSumVersion);
useSympyToCleanUpFormula(noSumVersion);
//take that formula and process as math
var exp = Infix.ParseOrThrow(noSumVersion);
Debug.Print("mathdotnet verison: " + Infix.Format(exp));
Debug.Print("expanded verison: " + Infix.Format(Algebraic.Expand(exp)));
Debug.Print("variables: " + string.Join(",", Structure.CollectIdentifierSymbols(exp).Select(c => c.Item)));
//GenerateFullTreeWithReferences(root);
}
private void enter_btn_Click(object sender, EventArgs e)
{
if (CalcInput.Text.Length > 0)
{
if (CalcInput.Text.Contains("Expand"))
{
try
{
CalcInput.Text = CalcInput.Text.Replace("Expand", "");
var convert = Infix.ParseOrThrow(CalcInput.Text);
var parsedExpression = Algebraic.Expand(convert);
MetroMessageBox.Show(this, Infix.Format(parsedExpression), "Answer");
CalcInput.Text = CalcInput.Text.Insert(0, "Expand");
}
catch (Exception ex)
{
MessageBox.Show("Error" + ex);
}
}
else if (CalcInput.Text.Contains("d/dx"))
{
try
{
CalcInput.Text = CalcInput.Text.Replace("d/dx", "");
var convert = Infix.ParseOrThrow(CalcInput.Text);
var parsedExpression = Algebraic.Expand(convert);
var differentiated = Calculus.Differentiate(Infix.ParseOrThrow("x"), parsedExpression);
CalcInput.Text = CalcInput.Text.Insert(0, "d/dx");
MetroMessageBox.Show(this, "Using the formula nx^n-1, or pre-determined values \r\n" + "d/dx = " + Infix.Format(differentiated), "Answer");
}
catch (Exception ex)
{
MetroMessageBox.Show(this, "Error, ensure you have brackets for each term, and a * between a number and a symbol " + ex, "Error",
MessageBoxButtons.OKCancel, MessageBoxIcon.Warning);
}
}
else if (CalcInput.Text.Contains("TrigIden"))
{
try
{
CalcInput.Text = CalcInput.Text.Replace("TrigIden", "");
var convert = Infix.ParseOrThrow(CalcInput.Text);
var parsedExpression = Trigonometric.Expand(convert);
CalcInput.Text = CalcInput.Text.Insert(0, "TrigIden");
MetroMessageBox.Show(this, "Answer \r\n " + Infix.Format(parsedExpression), "Answer", MessageBoxButtons.OKCancel, MessageBoxIcon.Information);
}
catch (Exception ex)
{
MetroMessageBox.Show(this, "Error " + ex, "Error", MessageBoxButtons.OKCancel, MessageBoxIcon.Warning);
}
}
else if (CalcInput.Text.Contains("TrigContract"))
{
try
{
CalcInput.Text = CalcInput.Text.Replace("TrigContract", "");
var convert = Infix.ParseOrThrow(CalcInput.Text);
var parsedExpression = Trigonometric.Contract(convert);
CalcInput.Text = CalcInput.Text.Insert(0, "TrigContract");
MetroMessageBox.Show(this, "Answer \r\n " + Infix.Format(parsedExpression), "Answer", MessageBoxButtons.OKCancel, MessageBoxIcon.Information);
}
catch (Exception ex)
{
MetroMessageBox.Show(this, "Error " + ex, "Error", MessageBoxButtons.OKCancel, MessageBoxIcon.Warning);
}
}
else
{
try
{
var parsedExpression = Infix.ParseOrThrow(CalcInput.Text);
MessageBox.Show(Infix.Format(parsedExpression));
}
catch (Exception ex)
{
MetroFramework.MetroMessageBox.Show(this, "Error" + ex, "Error");
}
}
}
else
{
MetroMessageBox.Show(this, "Please enter text before clicking enter...", "Error", MessageBoxButtons.OKCancel, MessageBoxIcon.Error);
}
}