public PermutationList CyclicPermutations()
{
PermutationList perms = new PermutationList();
foreach (Permutation p in this)
{
if (p.Matrix.Trace() == 0)
{
perms.Add(p);
}
}
return(perms);
}
public static PermutationList Permute(int start)
{
PermutationList gList = new PermutationList();
List <int> set = new List <int>();
for (int i = 0; i < start; i++)
{
set.Add(i + 1);
}
List <int[]> ret = Permute(set);
foreach (int[] perm in ret)
{
gList.Add(new Permutation(set.ToArray(), perm));
}
return(gList);
}
public static int Test_Permutations()
{
SymetricGroup sg = new SymetricGroup(4);
sg.DisplayMatrix = true;
PermutationList ps2 = new PermutationList(4);
ps2.DisplayMatrix = true;
PermutationList ps = new PermutationList();
ps.Order = 4;
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 1, 2, 3, 4 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 4, 1, 2, 3 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 3, 4, 1, 2 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 2, 3, 4, 1 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 1, 2, 3, 4 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 2, 1, 4, 3 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 4, 3, 1, 2 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 3, 4, 2, 1 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 1, 2, 3, 4 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 3, 1, 4, 2 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 2, 4, 1, 3 }
)
);
ps.Add(
new Permutation(
new int[] { 1, 2, 3, 4 },
new int[] { 4, 3, 2, 1 }
)
);
ps.DisplayMatrix = true;
ps = ps2.CyclicPermutations();
ps.DisplayMatrix = true;
ps.Order = 4;
ps = new PermutationList();
ps.Order = 4;
ps.DisplayMatrix = true;
ps.AddRange(ps2.OrderBy(o => o.ElementNameValue).ToList());
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(ps.ToLatex(), "Test_Permutations.html"); //display Latex via mathjax
return(0);
}