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A list of lists - Hassediagram - Feb-25-2019 Dear members of python-forum, I encounter a problem of list definition (i think). I would like to define def(S,T), where: (i) S and T are two sets (lists in Python) and such that S is a subset of T. (ii) def(S,T) gives the list of lists K such that S \subset K \subset T. (K is "between" S and T). For example if S=[2] and T=[2,3,4], i want to get all the lists between [2] and [2,3,4], that is, L=[[2],[2,3],[2,4],[2,3,4]]. In the program below, i define subset(T,S) as being the elements in T which are not in S. In my example, setminus(T,S)=[3,4]. Notice that: union(A,B) is the union of the lists A and B. (the union of sets). interzz(A,B) is the intersection of lists A and B (the intersection of sets). doublonsL removes the lists appearing several times in the list of lists. The program works as follows: from the infimum S=[2] (for example) and the supremum T=[2,3,4], we compute the elements setminus(T,S) which are in T but not in S. We start from L=[[2]]. The elements 3 and 4 are in T but not in S. We take elements in L and we add lists with these elements setminus(T,S). For example: [2] [2],[2,3] [2],[2,4],[2,3],[2,3,4]. My program, instead of giving what i want, gives Boolean([2],[2,3,4])= [[2, 3, 4]]. That is, [2], [2,3] and [2,4] are missing. I guess that my program is ugly but, actually, i just need something that works. Your suggestions would probably be helpful; thank you in advance. def doublons(LM):# This def is OK. LP=[] for k in LM: if k not in LP: LP.append(k) return(LP) def doublonsL(LM): # This def is OK. LP=[] for listtt in LM: if listtt not in LP: LP.append(listtt) return(LP) def union(A,B):# This def is OK. uni=A for k in B: uni.append(k) return doublons(sorted(uni)) def interzz(lst1, lst2): # This def is OK. lst3 = [value for value in lst1 if value in lst2] return doublons(sorted(lst3)) def setminus(S,T):# This def is OK. for k in T: S.remove(k) return doublons(S) def issubset(S,T):# This def is OK. if interzz(S,T)==S: return "true" else: return "false" def Boolean(SQ,TQ): # The problem comes from this def. if issubset(SQ,TQ)=="false": # We check that S is a subset of T. print("error subset") ZED=setminus(TQ,SQ) # All the elements of TQ which are not in SQ. LILI=[SQ] MOLI=LILI[:] for k in ZED: for PPP in MOLI: LILI.append(union(PPP,[k])) LILI=MOLI[:] MOLI=LILI[:] for kj in range(0,len(LILI)): LILI[kj]=sorted(doublons(LILI[kj])) return doublonsL(LILI)Wishing you a nice week, Hassediagram. RE: A list of lists - Larz60+ - Feb-25-2019 python has lists x = [1,2,3] and sets x = {1,2,3} plus all set operations see: https://docs.python.org/3.7/library/stdtypes.html#set-types-set-frozenset aslo see itertools for permutations, combinations and product RE: A list of lists - ichabod801 - Feb-25-2019 Also, Python has the boolean singletons True and False, so you don't need "true" and "false". If issubset returned those, you could just use if issubset(SQ, TQ): . Of course, since all issubset does is check interzz(), you could just replace that with if interzz(SQ, TQ) == SQ: .
RE: A list of lists - Hassediagram - Feb-25-2019 (Feb-25-2019, 03:40 PM)Larz60+ Wrote: python has lists x = [1,2,3] Thank you Larz60 for your answer; i meant sets in the mathematical sense, which i translate into lists in Python. RE: A list of lists - ichabod801 - Feb-25-2019 As Larz said, this functionality is all covered in Python. But if you need to recreate it for homework, to get the subsets, start with a list of the empty set. Loop through the items in the set, adding to the list of subsets every subset plus the item: >>> subsets = [[]] >>> fullset = [1, 2, 3] >>> for item in fullset: ... subsets = subsets + [subset + [item] for subset in subsets] ... >>> subsets [[], [1], [2], [1, 2], [3], [1, 3], [2, 3], [1, 2, 3]]You should be able to modify that to get the list of subsets you want. RE: A list of lists - Hassediagram - Feb-25-2019 (Feb-25-2019, 04:14 PM)ichabod801 Wrote: As Larz said, this functionality is all covered in Python. But if you need to recreate it for homework, to get the subsets, start with a list of the empty set. Loop through the items in the set, adding to the list of subsets every subset plus the item: Thank you ichabod801, this works ! I will use your trick. But why didn't it work in my program ? Thank you also for your suggestion about the intersections. RE: A list of lists - ichabod801 - Feb-25-2019 (Feb-25-2019, 04:23 PM)Hassediagram Wrote: But why didn't it work in my program ? I don't know. Your code is really hard to read and very complicated, I just figured there must be a simpler solution. Always keep it simple when programming. RE: A list of lists - Hassediagram - Feb-25-2019 (Feb-25-2019, 04:34 PM)ichabod801 Wrote:(Feb-25-2019, 04:23 PM)Hassediagram Wrote: But why didn't it work in my program ? Yes that is true; ok i got my problem solved, thank you very much ichabod801 ! |