public Renderer()
{
_fontLoader = new FontLoader();
_textMeasurer = new HyperfontTextMeasurer(_fontLoader);
_typesetter = new Typesetter(_textMeasurer);
_exporter = new PNGExporter(_fontLoader);
_parser = new LaTeXParser();
}
public static string ConvertToMathString(string latexIn)
{
var parseResult = LaTeXParser.MathListFromLaTeX(latexIn);
if (parseResult.Error == null)
{
parseResult.Deconstruct(out MathList atoms, out _);
return(ConvertToMathString(atoms));
}
return(null);
}
public static GenericFunction ParseFunction(string latexIn)
{
var parseResult = LaTeXParser.MathListFromLaTeX(latexIn);
if (parseResult.Error == null)
{
parseResult.Deconstruct(out MathList atoms, out _);
return(ParseFunction(atoms));
}
return(null);
}
MathList ParseLaTeX(string latex) => LaTeXParser.MathListFromLaTeX(latex).Match(list => list, e => throw new Xunit.Sdk.XunitException(e));
public static string ConvertToMathString(IList <MathAtom> atoms)
{
string output = "";
for (int i = 0; i < atoms.Count; i++)
{
var atom = atoms[i];
if (atom is Variable variable)
{
output += atom.Nucleus;
if (i + 1 < atoms.Count && atoms[i + 1] is Variable)
{
output += "*";
}
}
else if (atom is Fraction fraction)
{
output += $"({ConvertToMathString(fraction.Numerator)})/({ConvertToMathString(fraction.Denominator)})";
}
else if (atom is Inner inner)
{
output += $"({ConvertToMathString(inner.InnerList)})";
}
else if (atom is BinaryOperator binaryOperator)
{
if (binaryOperator.Nucleus == "·")
{
output += "*";
}
}
else if (atom is LargeOperator largeOperator)
{
if (largeOperator.Nucleus == "∫")
{
// Figure out which kind of intergral we're dealing with
if (largeOperator.Subscript.Count > 0 || largeOperator.Superscript.Count > 0)
{
// Definite integral
// Find the variable to integrate with respect to
bool foundWRT = false;
int idxOfWRT = i + 1;
while (!foundWRT && idxOfWRT + 1 < atoms.Count)
{
foundWRT = atoms[idxOfWRT] is Variable intWRTMarker && intWRTMarker.Nucleus == "d" &&
atoms[idxOfWRT + 1] is Variable;
idxOfWRT++;
}
// Get the bounds of integration
LaTeXParser.MathListFromLaTeX(@"\infty").Deconstruct(out MathList defaultUpperBound, out _);
LaTeXParser.MathListFromLaTeX(@"-\infty").Deconstruct(out MathList defaultLowerBound, out _);
var upperBound = MathS.FromString(
ConvertToMathString(largeOperator.Superscript.Count == 0 ? defaultUpperBound : largeOperator.Superscript)
);
var lowerBound = MathS.FromString(
ConvertToMathString(largeOperator.Subscript.Count == 0 ? defaultLowerBound : largeOperator.Subscript)
);
// Get the list of atoms that we need to integrate
// i+1 to skip the integral symbol, and idxOfWRT-i-2 to remove the dx
var intAtoms = atoms.Skip(i + 1).Take(idxOfWRT - i - 2).ToList();
// Calculate the integral of the expression
var varWRT = MathS.Var(foundWRT ? atoms[idxOfWRT].Nucleus : "x");
var antiderivative = MathS.FromString(ConvertToMathString(intAtoms)).Integrate(varWRT).Simplify();
output += (antiderivative.Substitute(varWRT, upperBound) - antiderivative.Substitute(varWRT, lowerBound)).Simplify().ToString();
// Make sure the atoms involved in the integration aren't parsed again
i = idxOfWRT;
continue;
}
else
{
// Indefinite integral
// Find the variable to integrate with respect to
bool foundWRT = false;
int idxOfWRT = i + 1;
while (!foundWRT && idxOfWRT + 1 < atoms.Count)
{
foundWRT = atoms[idxOfWRT] is Variable intWRTMarker && intWRTMarker.Nucleus == "d" &&
atoms[idxOfWRT + 1] is Variable;
idxOfWRT++;
}
// Get the list of atoms that we need to integrate
// i+1 to skip the integral symbol, and idxOfWRT-i-2 to remove the dx
var intAtoms = atoms.Skip(i + 1).Take(idxOfWRT - i - 2).ToList();
// Calculate the integral of the expression
var varWRT = MathS.Var(foundWRT ? atoms[idxOfWRT].Nucleus : "x");
output += MathS.FromString(ConvertToMathString(intAtoms)).Integrate(varWRT).Simplify().ToString();
// Make sure the atoms involved in the integration aren't parsed again
i = idxOfWRT;
continue;
}
}
else
{
output += atom.Nucleus;
}
}
else
{
output += atom.Nucleus;
}
if (atom.Superscript.Count > 0)
{
output += $"^({ConvertToMathString(atom.Superscript)})";
}
}
return(output);
}
