/// <summary>
/// Splits the given list of elements
/// </summary>
/// <param name="list"></param>
/// <returns></returns>
private static List <List <int> > Split(List <List <int> > list, Dart d)
{
List <List <int> > result = new List <List <int> >();
for (int k = 0; k < list.Count; k++)
{
var f = list[k];
var pairs = ListPairs(f);
if (!pairs.Contains(d))
{
result.Add(f);
continue;
}
int i = pairs.IndexOf(d);
f = f.rotate(i - 1);
if (f.Count <= 3)
{
result.Add(f);
}
else
{
var f2 = f.Skip(2).ToList();
f2.Insert(0, f[0]);
result.Add(f.Take(3).ToList());
result.Add(f2);
}
for (k++; k < list.Count; k++)
{
result.Add(list[k]);
}
break;
}
return(result);
}
/// <summary>
/// Splits the given list of elements
/// </summary>
/// <param name="list"></param>
/// <returns></returns>
private static List<List<int>> Split(List<List<int>> list, Dart d)
{
List<List<int>> result = new List<List<int>>();
for (int k = 0; k < list.Count; k++)
{
var f = list[k];
var pairs = ListPairs(f);
if (!pairs.Contains(d))
{
result.Add(f);
continue;
}
int i = pairs.IndexOf(d);
f = f.rotate(i - 1);
if (f.Count <= 3)
{
result.Add(f);
}
else
{
var f2 = f.Skip(2).ToList();
f2.Insert(0, f[0]);
result.Add(f.Take(3).ToList());
result.Add(f2);
}
for (k++; k < list.Count; k++)
{
result.Add(list[k]);
}
break;
}
return result;
}
/// <summary>
/// Computes all sets of darts
/// </summary>
public void ComputeAllSets(List<int> facesPermutation)
{
// faces
var faces = list.map(l => ListPairs(l));
var faces3 = faces.filter(f => f.Count == 3);
var faces4 = faces.filter(f => f.Count == 4);
var faces5 = faces.filter(f => f.Count == 5);
var faces6 = faces.filter(f => f.Count == 6);
// darts
var darts = faces.flatten();
var darts3 = faces3.flatten();
var darts4 = faces4.flatten();
var darts5 = faces5.flatten();
var darts6 = faces6.flatten();
// edges
var edges = darts.map(d => new List<Dart>(new Dart[] {d, new Dart(d.b, d.a)} ));
// dartPairs
var dartPairs = darts.map(x => darts.map(y => new List<Dart>(new Dart[] { x, y }))).flatten();
// nodes
var elements = list.flatten().removeDuplicates();
var nodes = elements.map(x => darts.filter(d => d.a == x));
// Add everything to the collection of all sets
sets = new Dictionary<string, List<HypermapElement>>();
sets.Add("faces", faces.ToHypermapElements());
sets.Add("darts", darts.ToHypermapElements());
sets.Add("edges", edges.ToHypermapElements());
sets.Add("nodes", nodes.ToHypermapElements());
sets.Add("darts3", darts3.ToHypermapElements());
sets.Add("darts4", darts4.ToHypermapElements());
sets.Add("darts5", darts5.ToHypermapElements());
sets.Add("darts6", darts6.ToHypermapElements());
sets.Add("faces3", faces3.ToHypermapElements());
sets.Add("faces4", faces4.ToHypermapElements());
sets.Add("faces5", faces5.ToHypermapElements());
sets.Add("faces6", faces6.ToHypermapElements());
sets.Add("dart_pairs", dartPairs.ToHypermapElements());
// Create the translation tables
translationTables = new Dictionary<string, Dictionary<string, HypermapElement>>();
// e_darts, faces, darts
Dictionary<string, HypermapElement> e_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_faces = new Dictionary<string,HypermapElement>();
Dictionary<string, HypermapElement> mod_face3_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_face4_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_face5_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_face6_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_edartPairs = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_dartPairsFst = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_edartPairsFst = new Dictionary<string, HypermapElement>();
for (int j = 0; j < list.Count; j++)
{
int mod_index = facesPermutation[j];
var f = list[j];
int n = f.Count;
for (int i = 0; i < n; i++)
{
int i1 = f[i];
int i2 = f[(i + 1) % n];
int i3 = f[(i + 2) % n];
string e_dart = i1 + "," + i2 + "," + i3 + "," + mod_index;
string dart = i2 + "," + mod_index;
HypermapElement d = new Dart(i2, i3);
// (i1,i2,i3,j) corresponds to (i2,i3); (i1,j) = f^(-1)(i2,j) and (i3,j) = f(i2,j)
e_darts.Add(e_dart, d);
mod_darts.Add(dart, d);
}
mod_faces.Add(mod_index.ToString(), new DartList(faces[j]));
var mod_face_darts = mod_face3_darts;
switch (n)
{
case 3:
mod_face_darts = mod_face3_darts;
break;
case 4:
mod_face_darts = mod_face4_darts;
break;
case 5:
mod_face_darts = mod_face5_darts;
break;
case 6:
mod_face_darts = mod_face6_darts;
break;
default:
throw new Exception(String.Format("Unexpected face size {0}", n));
}
mod_face_darts.Add(mod_index.ToString(), faces[j][0]);
}
// extended dart pairs
foreach (string e_dart1 in e_darts.Keys)
{
var dart1 = e_darts[e_dart1] as Dart;
foreach (string e_dart2 in e_darts.Keys)
{
var dart2 = e_darts[e_dart2] as Dart;
String e_pair = e_dart1 + "," + e_dart2;
DartList pair = new DartList(dart1, dart2);
mod_edartPairs.Add(e_pair, pair);
mod_edartPairsFst.Add(e_pair, dart1);
}
}
// dart pairs
foreach (string dart1 in mod_darts.Keys)
{
Dart d1 = mod_darts[dart1] as Dart;
foreach (string dart2 in mod_darts.Keys)
{
String dart_pair = dart1 + "," + dart2;
mod_dartPairsFst.Add(dart_pair, d1);
}
}
// nodes
Dictionary<string, HypermapElement> mod_nodes = new Dictionary<string, HypermapElement>();
foreach (int x in elements)
{
mod_nodes.Add(x.ToString(), new DartList(darts.filter(d => d.a == x)));
}
// edges
Dictionary<string, HypermapElement> mod_edges = new Dictionary<string, HypermapElement>();
foreach (var e in edges)
{
Dart d1 = e[0];
Dart d2 = e[1];
int i1 = d1.a;
int j1 = facesPermutation[FindFaceIndex(d1.a, d1.b)];
int i2 = d2.a;
int j2 = facesPermutation[FindFaceIndex(d2.a, d2.b)];
string edge = i1 + "," + j1 + "," + i2 + "," + j2;
mod_edges.Add(edge, new DartList(e));
}
// Add everything into the global table
translationTables.Add("e_dart", e_darts);
translationTables.Add("dart", mod_darts);
translationTables.Add("edge", mod_edges);
translationTables.Add("face", mod_faces);
translationTables.Add("node", mod_nodes);
translationTables.Add("face3_dart", mod_face3_darts);
translationTables.Add("face4_dart", mod_face4_darts);
translationTables.Add("face5_dart", mod_face5_darts);
translationTables.Add("face6_dart", mod_face6_darts);
translationTables.Add("dart_pairs_fst", mod_dartPairsFst);
translationTables.Add("e_dart_pairs", mod_edartPairs);
translationTables.Add("e_dart_pairs_fst", mod_edartPairsFst);
}
/// <summary>
/// Computes all sets of darts
/// </summary>
public void ComputeAllSets()
{
// faces
var faces = list.map(l => ListPairs(l));
var faces3 = faces.filter(f => f.Count == 3);
var faces4 = faces.filter(f => f.Count == 4);
var faces5 = faces.filter(f => f.Count == 5);
var faces6 = faces.filter(f => f.Count == 6);
// darts
var darts = faces.flatten();
var darts3 = faces3.flatten();
var darts4 = faces4.flatten();
var dartsX = faces.filter(f => f.Count >= 4).flatten();
// edges
var edges = darts.map(d => new List <Dart>(new Dart[] { d, new Dart(d.b, d.a) }));
// nodes
var elements = list.flatten().removeDuplicates();
var nodes = elements.map(x => darts.filter(d => d.a == x));
// Add everything to the collection of all sets
sets = new Dictionary <string, List <HypermapElement> >();
sets.Add("faces", faces.ToHypermapElements());
sets.Add("darts", darts.ToHypermapElements());
sets.Add("edges", edges.ToHypermapElements());
sets.Add("nodes", nodes.ToHypermapElements());
sets.Add("darts3", darts3.ToHypermapElements());
sets.Add("darts4", darts4.ToHypermapElements());
sets.Add("dartsX", dartsX.ToHypermapElements());
sets.Add("faces3", faces3.ToHypermapElements());
sets.Add("faces4", faces4.ToHypermapElements());
sets.Add("faces5", faces5.ToHypermapElements());
sets.Add("faces6", faces6.ToHypermapElements());
// Special names
sets.Add("dart_std4", sets["darts4"]);
sets.Add("dart3", sets["darts3"]);
sets.Add("dart_std3", sets["darts3"]);
sets.Add("dart_std", sets["darts"]);
sets.Add("std3", sets["faces3"]);
sets.Add("std4", sets["faces4"]);
sets.Add("std5", sets["faces5"]);
sets.Add("std6", sets["faces6"]);
sets.Add("dartX", sets["dartsX"]);
// Create the translation tables
translationTables = new Dictionary <string, Dictionary <string, HypermapElement> >();
// e_darts, faces, darts
Dictionary <string, HypermapElement> e_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_faces = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_darts = new Dictionary <string, HypermapElement>();
for (int j = 0; j < list.Count; j++)
{
var f = list[j];
int n = f.Count;
for (int i = 0; i < n; i++)
{
int i1 = f[i];
int i2 = f[(i + 1) % n];
int i3 = f[(i + 2) % n];
string e_dart = i1 + "," + i2 + "," + i3 + "," + j;
string dart = i2 + "," + j;
HypermapElement d = new Dart(i2, i3);
e_darts.Add(e_dart, d);
mod_darts.Add(dart, d);
}
mod_faces.Add(j.ToString(), new DartList(faces[j]));
}
// nodes
Dictionary <string, HypermapElement> mod_nodes = new Dictionary <string, HypermapElement>();
foreach (int x in elements)
{
mod_nodes.Add(x.ToString(), new DartList(darts.filter(d => d.a == x)));
}
// edges
Dictionary <string, HypermapElement> mod_edges = new Dictionary <string, HypermapElement>();
foreach (var e in edges)
{
Dart d1 = e[0];
Dart d2 = e[1];
int i1 = d1.a;
int j1 = FindFaceIndex(d1.a, d1.b);
int i2 = d2.a;
int j2 = FindFaceIndex(d2.a, d2.b);
string edge = i1 + "," + j1 + "," + i2 + "," + j2;
mod_edges.Add(edge, new DartList(e));
}
// Add everything into the global table
translationTables.Add("e_dart", e_darts);
translationTables.Add("dart", mod_darts);
translationTables.Add("edge", mod_edges);
translationTables.Add("face", mod_faces);
translationTables.Add("node", mod_nodes);
}
/// <summary>
/// Computes a hypermap from input file data
/// </summary>
/// <param name="hypInfo"></param>
/// <returns></returns>
public ListHyp ComputeHypermap(TextReader hypInfo, out string name, out bool infeasible)
{
name = null;
infeasible = false;
string id = null;
List <List <int> > hypList = null;
List <Dart> splitDarts = new List <Dart>();
List <int> facesPermutation = null;
while (true)
{
string str = hypInfo.ReadLine();
if (str == null)
{
break;
}
string[] els = str.Split(':');
if (els.Length != 2)
{
Console.WriteLine("Bad line: " + str);
continue;
}
string val = els[1].Trim();
switch (els[0].Trim())
{
case "infeasible":
infeasible = (val == "true");
break;
case "name":
name = val;
break;
case "id":
id = val;
break;
case "hypermap":
if (val == "")
{
break;
}
hypList = new List <List <int> >();
els = val.Split(';');
foreach (string el in els)
{
List <int> f = el.Split(',').ToList().map(x => int.Parse(x));
hypList.Add(f);
}
break;
case "split":
if (val == "")
{
break;
}
els = val.Split(';');
splitDarts.Clear();
foreach (string el in els)
{
splitDarts.Add(Dart.Parse(el));
}
break;
case "faces":
facesPermutation = val.Split(',').ToList().map(x => int.Parse(x));
break;
default:
Console.WriteLine("Bad line: " + str);
break;
}
}
if (name == null || facesPermutation == null)
{
throw new Exception("ComputeHypermaps(): name or facesPermutation are not defined");
}
if (id == null && hypList == null)
{
throw new Exception("ComputeHypermaps(): both id and hypList are not defined");
}
ListHyp hyp = null;
if (hypList != null)
{
hyp = new ListHyp(hypList, this).Split(splitDarts);
}
else
{
hyp = this[id].Split(splitDarts);
}
hyp.ComputeAllSets(facesPermutation);
return(hyp);
}
/// <summary>
/// Computes all sets of darts
/// </summary>
public void ComputeAllSets(List <int> facesPermutation)
{
// faces
var faces = list.map(l => ListPairs(l));
var faces3 = faces.filter(f => f.Count == 3);
var faces4 = faces.filter(f => f.Count == 4);
var faces5 = faces.filter(f => f.Count == 5);
var faces6 = faces.filter(f => f.Count == 6);
// darts
var darts = faces.flatten();
var darts3 = faces3.flatten();
var darts4 = faces4.flatten();
var darts5 = faces5.flatten();
var darts6 = faces6.flatten();
// edges
var edges = darts.map(d => new List <Dart>(new Dart[] { d, new Dart(d.b, d.a) }));
// dartPairs
var dartPairs = darts.map(x => darts.map(y => new List <Dart>(new Dart[] { x, y }))).flatten();
// nodes
var elements = list.flatten().removeDuplicates();
var nodes = elements.map(x => darts.filter(d => d.a == x));
// Add everything to the collection of all sets
sets = new Dictionary <string, List <HypermapElement> >();
sets.Add("faces", faces.ToHypermapElements());
sets.Add("darts", darts.ToHypermapElements());
sets.Add("edges", edges.ToHypermapElements());
sets.Add("nodes", nodes.ToHypermapElements());
sets.Add("darts3", darts3.ToHypermapElements());
sets.Add("darts4", darts4.ToHypermapElements());
sets.Add("darts5", darts5.ToHypermapElements());
sets.Add("darts6", darts6.ToHypermapElements());
sets.Add("faces3", faces3.ToHypermapElements());
sets.Add("faces4", faces4.ToHypermapElements());
sets.Add("faces5", faces5.ToHypermapElements());
sets.Add("faces6", faces6.ToHypermapElements());
sets.Add("dart_pairs", dartPairs.ToHypermapElements());
// Create the translation tables
translationTables = new Dictionary <string, Dictionary <string, HypermapElement> >();
// e_darts, faces, darts
Dictionary <string, HypermapElement> e_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_faces = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_face3_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_face4_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_face5_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_face6_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_darts = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_edartPairs = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_dartPairsFst = new Dictionary <string, HypermapElement>();
Dictionary <string, HypermapElement> mod_edartPairsFst = new Dictionary <string, HypermapElement>();
for (int j = 0; j < list.Count; j++)
{
int mod_index = facesPermutation[j];
var f = list[j];
int n = f.Count;
for (int i = 0; i < n; i++)
{
int i1 = f[i];
int i2 = f[(i + 1) % n];
int i3 = f[(i + 2) % n];
string e_dart = i1 + "," + i2 + "," + i3 + "," + mod_index;
string dart = i2 + "," + mod_index;
HypermapElement d = new Dart(i2, i3);
// (i1,i2,i3,j) corresponds to (i2,i3); (i1,j) = f^(-1)(i2,j) and (i3,j) = f(i2,j)
e_darts.Add(e_dart, d);
mod_darts.Add(dart, d);
}
mod_faces.Add(mod_index.ToString(), new DartList(faces[j]));
var mod_face_darts = mod_face3_darts;
switch (n)
{
case 3:
mod_face_darts = mod_face3_darts;
break;
case 4:
mod_face_darts = mod_face4_darts;
break;
case 5:
mod_face_darts = mod_face5_darts;
break;
case 6:
mod_face_darts = mod_face6_darts;
break;
default:
throw new Exception(String.Format("Unexpected face size {0}", n));
}
mod_face_darts.Add(mod_index.ToString(), faces[j][0]);
}
// extended dart pairs
foreach (string e_dart1 in e_darts.Keys)
{
var dart1 = e_darts[e_dart1] as Dart;
foreach (string e_dart2 in e_darts.Keys)
{
var dart2 = e_darts[e_dart2] as Dart;
String e_pair = e_dart1 + "," + e_dart2;
DartList pair = new DartList(dart1, dart2);
mod_edartPairs.Add(e_pair, pair);
mod_edartPairsFst.Add(e_pair, dart1);
}
}
// dart pairs
foreach (string dart1 in mod_darts.Keys)
{
Dart d1 = mod_darts[dart1] as Dart;
foreach (string dart2 in mod_darts.Keys)
{
String dart_pair = dart1 + "," + dart2;
mod_dartPairsFst.Add(dart_pair, d1);
}
}
// nodes
Dictionary <string, HypermapElement> mod_nodes = new Dictionary <string, HypermapElement>();
foreach (int x in elements)
{
mod_nodes.Add(x.ToString(), new DartList(darts.filter(d => d.a == x)));
}
// edges
Dictionary <string, HypermapElement> mod_edges = new Dictionary <string, HypermapElement>();
foreach (var e in edges)
{
Dart d1 = e[0];
Dart d2 = e[1];
int i1 = d1.a;
int j1 = facesPermutation[FindFaceIndex(d1.a, d1.b)];
int i2 = d2.a;
int j2 = facesPermutation[FindFaceIndex(d2.a, d2.b)];
string edge = i1 + "," + j1 + "," + i2 + "," + j2;
mod_edges.Add(edge, new DartList(e));
}
// Add everything into the global table
translationTables.Add("e_dart", e_darts);
translationTables.Add("dart", mod_darts);
translationTables.Add("edge", mod_edges);
translationTables.Add("face", mod_faces);
translationTables.Add("node", mod_nodes);
translationTables.Add("face3_dart", mod_face3_darts);
translationTables.Add("face4_dart", mod_face4_darts);
translationTables.Add("face5_dart", mod_face5_darts);
translationTables.Add("face6_dart", mod_face6_darts);
translationTables.Add("dart_pairs_fst", mod_dartPairsFst);
translationTables.Add("e_dart_pairs", mod_edartPairs);
translationTables.Add("e_dart_pairs_fst", mod_edartPairsFst);
}
/// <summary>
/// Computes all sets of darts
/// </summary>
public void ComputeAllSets()
{
// faces
var faces = list.map(l => ListPairs(l));
var faces3 = faces.filter(f => f.Count == 3);
var faces4 = faces.filter(f => f.Count == 4);
var faces5 = faces.filter(f => f.Count == 5);
var faces6 = faces.filter(f => f.Count == 6);
// darts
var darts = faces.flatten();
var darts3 = faces3.flatten();
var darts4 = faces4.flatten();
var dartsX = faces.filter(f => f.Count >= 4).flatten();
// edges
var edges = darts.map(d => new List<Dart>(new Dart[] {d, new Dart(d.b, d.a)} ));
// nodes
var elements = list.flatten().removeDuplicates();
var nodes = elements.map(x => darts.filter(d => d.a == x));
// Add everything to the collection of all sets
sets = new Dictionary<string, List<HypermapElement>>();
sets.Add("faces", faces.ToHypermapElements());
sets.Add("darts", darts.ToHypermapElements());
sets.Add("edges", edges.ToHypermapElements());
sets.Add("nodes", nodes.ToHypermapElements());
sets.Add("darts3", darts3.ToHypermapElements());
sets.Add("darts4", darts4.ToHypermapElements());
sets.Add("dartsX", dartsX.ToHypermapElements());
sets.Add("faces3", faces3.ToHypermapElements());
sets.Add("faces4", faces4.ToHypermapElements());
sets.Add("faces5", faces5.ToHypermapElements());
sets.Add("faces6", faces6.ToHypermapElements());
// Special names
sets.Add("dart_std4", sets["darts4"]);
sets.Add("dart3", sets["darts3"]);
sets.Add("dart_std3", sets["darts3"]);
sets.Add("dart_std", sets["darts"]);
sets.Add("std3", sets["faces3"]);
sets.Add("std4", sets["faces4"]);
sets.Add("std5", sets["faces5"]);
sets.Add("std6", sets["faces6"]);
sets.Add("dartX", sets["dartsX"]);
// Create the translation tables
translationTables = new Dictionary<string, Dictionary<string, HypermapElement>>();
// e_darts, faces, darts
Dictionary<string, HypermapElement> e_darts = new Dictionary<string, HypermapElement>();
Dictionary<string, HypermapElement> mod_faces = new Dictionary<string,HypermapElement>();
Dictionary<string, HypermapElement> mod_darts = new Dictionary<string,HypermapElement>();
for (int j = 0; j < list.Count; j++)
{
var f = list[j];
int n = f.Count;
for (int i = 0; i < n; i++)
{
int i1 = f[i];
int i2 = f[(i + 1) % n];
int i3 = f[(i + 2) % n];
string e_dart = i1 + "," + i2 + "," + i3 + "," + j;
string dart = i2 + "," + j;
HypermapElement d = new Dart(i2, i3);
e_darts.Add(e_dart, d);
mod_darts.Add(dart, d);
}
mod_faces.Add(j.ToString(), new DartList(faces[j]));
}
// nodes
Dictionary<string, HypermapElement> mod_nodes = new Dictionary<string, HypermapElement>();
foreach (int x in elements)
{
mod_nodes.Add(x.ToString(), new DartList(darts.filter(d => d.a == x)));
}
// edges
Dictionary<string, HypermapElement> mod_edges = new Dictionary<string, HypermapElement>();
foreach (var e in edges)
{
Dart d1 = e[0];
Dart d2 = e[1];
int i1 = d1.a;
int j1 = FindFaceIndex(d1.a, d1.b);
int i2 = d2.a;
int j2 = FindFaceIndex(d2.a, d2.b);
string edge = i1 + "," + j1 + "," + i2 + "," + j2;
mod_edges.Add(edge, new DartList(e));
}
// Add everything into the global table
translationTables.Add("e_dart", e_darts);
translationTables.Add("dart", mod_darts);
translationTables.Add("edge", mod_edges);
translationTables.Add("face", mod_faces);
translationTables.Add("node", mod_nodes);
}