Created
November 21, 2016 22:31
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Generate all total orderings of (a) an unordered set of events with (b) an ordered list of events.
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public static IEnumerable<List<T>> AllOrderings<T>(List<T> unordered, List<T> ordered) | |
{ | |
if (unordered.Count == 0) | |
{ | |
yield return ordered; | |
} | |
else | |
{ | |
foreach (var permutation in GetPermutations(unordered, unordered.Count)) | |
{ | |
var unorderedPermutation = permutation.ToList(); | |
foreach (var interleaving in AllInterleavings(unorderedPermutation, ordered)) | |
{ | |
yield return interleaving; | |
} | |
} | |
} | |
} | |
private static IEnumerable<IEnumerable<T>> GetPermutations<T>(IEnumerable<T> list, int length) | |
{ | |
if (length == 1) return list.Select(t => new T[] { t }); | |
return GetPermutations(list, length - 1).SelectMany(t => list.Where(e => !t.Contains(e)), | |
(t1, t2) => t1.Concat(new T[] { t2 })); | |
} | |
private static IEnumerable<List<T>> AllInterleavings<T>(List<T> candidate, List<T> target) | |
{ | |
if (candidate.Count == 0) | |
{ | |
yield return target; | |
} | |
else if (target.Count == 0) | |
{ | |
yield return candidate; | |
} | |
else | |
{ | |
// take the first one and place it all the places that you can and still have a valid list | |
for (int i = 0; i < target.Count + 1; i++) | |
{ | |
List<T> result = new List<T>(); | |
if (i > 0) | |
{ | |
result.AddRange(target.GetRange(0, i)); | |
} | |
result.Add(candidate[0]); | |
int candidatesLeft = candidate.Count - 1; | |
int targetsLeft = target.Count - i; | |
foreach (var restInterleave in AllInterleavings<T>(candidate.GetRange(1, candidatesLeft), target.GetRange(i, targetsLeft))) | |
{ | |
var innerResult = new List<T>(result); | |
innerResult.AddRange(restInterleave); | |
yield return innerResult; | |
} | |
} | |
} | |
} |
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