public override string DisplayElement(AlgebraicElement <BigInteger[]> g)
{
var iden = g.Identifier;
var str = "";
if (iden[0] == 0 && iden[1] == 0)
{
return("e");
}
if (iden[0] == 1)
{
str += "s";
}
if (iden[1] == 0)
{
return(str);
}
if (iden[1] == 1)
{
return(str + "r");
}
return(str + "r^{" + iden[1] + "}");
}
public override string DisplayElement(AlgebraicElement <BigInteger> g)
{
var iden = g.Identifier;
if (iden == 0)
{
return("e");
}
if (iden == 1)
{
return("g");
}
return($"g^{iden}");
}
/// <summary>
/// Give the LaTeX representation of the element of the group by writing a tuple of individual representations
/// in the tuple.
/// </summary>
/// <param name="g">The element to display</param>
/// <returns>The LaTeX representation of g</returns>
public override string DisplayElement(AlgebraicElement <I[]> g)
{
try {
var str = "(";
for (var i = 0; i < Groups.Length; ++i)
{
str += Groups[i].DisplayElement(new GroupElement <I>(g.Identifier[i], Groups[i]));
if (i != Groups.Length - 1)
{
str += ",";
}
}
return(str + ")");
}
catch {
throw new InvalidElementException("Element not in Group");
}
}
public override string DisplayElement(AlgebraicElement <R[]> g)
{
var poly = (Polynomial)g;
var str = "";
for (var i = poly.degree(); i >= 0; --i)
{
if (poly[i] == 0)
{
continue;
}
switch (i)
{
case 0:
if (i < poly.degree())
{
str += " + ";
}
str += poly[0].ToLaTeX();
break;
case 1:
if (i < poly.degree())
{
str += " + ";
}
str += poly[1] == 1? "x": poly[1].ToLaTeX() + "x";
break;
default:
if (i < poly.degree())
{
str += " + ";
}
str += poly[i] == 1? $"x^{{{i}}}": poly[i].ToLaTeX() + $"x^{{{i}}}";
break;
}
}
return(str);
}
public abstract string DisplayElement(AlgebraicElement <I> g);
public virtual Boolean compare(AlgebraicElement <I> g, AlgebraicElement <I> h)
{
return(g.evaluate().Equals(h.evaluate()));
}
public override Boolean compare(AlgebraicElement <BigInteger[]> g, AlgebraicElement <BigInteger[]> h)
{
return(g.Identifier[0] == h.Identifier[0] && g.Identifier[1] == h.Identifier[1]);
}
public override string DisplayElement(AlgebraicElement <I> g)
{
return(ring.DisplayElement(g));
}
public override string DisplayElement(AlgebraicElement <BigInteger> g)
{
return(g.Identifier.ToString());
}
