python

Finished
857857 #g) (Permutation) = adjust size or return copy
858858 ok = True
859859 if not args: # a
860 return _af_new(list(range(size or 0)))
860 return cls._af_new(list(range(size or 0)))
861861 elif len(args) > 1: # c
862 return _af_new(Cycle(*args).list(size))
862 return cls._af_new(Cycle(*args).list(size))
863863 if len(args) == 1:
864864 a = args[0]
865865 if isinstance(a, Perm): # g
867867 return a
868868 return Perm(a.array_form, size=size)
869869 if isinstance(a, Cycle): # f
870 return _af_new(a.list(size))
870 return cls._af_new(a.list(size))
871871 if not is_sequence(a): # b
872 return _af_new(list(range(a + 1)))
872 return cls._af_new(list(range(a + 1)))
873873 if has_variety(is_sequence(ai) for ai in a):
874874 ok = False
875875 else:
924924 obj._size = size
925925 return obj
926926
927 @staticmethod
928 def _af_new(perm):
927 @classmethod
928 def _af_new(cls, perm):
929929 """A method to produce a Permutation object from a list;
930930 the list is bound to the _array_form attribute, so it must
931931 not be modified; this method is meant for internal use only;
944944 Permutation([2, 1, 3, 0])
945945
946946 """
947 p = Basic.__new__(Perm, perm)
947 p = Basic.__new__(cls, perm)
948948 p._array_form = perm
949949 p._size = len(perm)
950950 return p
12261226 which have _array_form
12271227 """
12281228 a = [x._array_form for x in args]
1229 rv = _af_new(_af_rmuln(*a))
1229 rv = Perm._af_new(_af_rmuln(*a))
12301230 return rv
12311231
12321232 def mul_inv(self, other):
12351235 """
12361236 a = _af_invert(self._array_form)
12371237 b = other._array_form
1238 return _af_new(_af_rmul(a, b))
1238 return Perm._af_new(_af_rmul(a, b))
12391239
12401240 def __rmul__(self, other):
12411241 """This is needed to coerse other to Permutation in rmul."""
13001300 else:
13011301 b.extend(list(range(len(b), len(a))))
13021302 perm = [b[i] for i in a] + b[len(a):]
1303 return _af_new(perm)
1303 return Perm._af_new(perm)
13041304
13051305 def commutes_with(self, other):
13061306 """
13411341 raise NotImplementedError(
13421342 'p**p is not defined; do you mean p^p (conjugate)?')
13431343 n = int(n)
1344 return _af_new(_af_pow(self.array_form, n))
1344 return Perm._af_new(_af_pow(self.array_form, n))
13451345
13461346 def __rxor__(self, i):
13471347 """Return self(i) when ``i`` is an int.
14361436 p = self._array_form
14371437 for i in range(self.size):
14381438 a[h[i]] = h[p[i]]
1439 return _af_new(a)
1439 return Perm._af_new(a)
14401440
14411441 def transpositions(self):
14421442 """
15191519 >>> p*~p == ~p*p == Permutation([0, 1, 2, 3])
15201520 True
15211521 """
1522 return _af_new(_af_invert(self._array_form))
1522 return Perm._af_new(_af_invert(self._array_form))
15231523
15241524 def __iter__(self):
15251525 """Yield elements from array form.
16291629 perm[j], perm[i] = perm[i], perm[j]
16301630 i += 1
16311631 j -= 1
1632 return _af_new(perm)
1632 return Perm._af_new(perm)
16331633
16341634 @classmethod
16351635 def unrank_nonlex(self, n, r):
16611661 n = int(n)
16621662 r = r % ifac(n)
16631663 _unrank1(n, r, id_perm)
1664 return _af_new(id_perm)
1664 return Perm._af_new(id_perm)
16651665
16661666 def rank_nonlex(self, inv_perm=None):
16671667 """
21252125 invb = [None]*n
21262126 for i in range(n):
21272127 invb[b[i]] = i
2128 return _af_new([a[b[inva[i]]] for i in invb])
2128 return Perm._af_new([a[b[inva[i]]] for i in invb])
21292129
21302130 def signature(self):
21312131 """
28282828 return inv_count
28292829
28302830Perm = Permutation
2831_af_new = Perm._af_new
Test NameStatus
test_Permutation_subclassing
Fail
test_Permutation
Fail
test_ranking
Fail
test_josephus
Pass
test_mul
Pass
test_args
Pass
test_Cycle
Pass
test_from_sequence
Pass
test_printing_cyclic
Pass
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