apple

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;
932932 the list ``a`` is supposed to be generated as a temporary value
933 in a method, so p = Perm._af_new(a) is the only object
933 in a method, so p = cls._af_new(a) is the only object
934934 to hold a reference to ``a``::
935935
936936 Examples
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 = args[0]._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 self._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 self._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 self._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 self._af_new(a)
14401440
14411441 def transpositions(self):
14421442 """
14771477 return res
14781478
14791479 @classmethod
1480 def from_sequence(self, i, key=None):
1480 def from_sequence(cls, i, key=None):
14811481 """Return the permutation needed to obtain ``i`` from the sorted
14821482 elements of ``i``. If custom sorting is desired, a key can be given.
14831483
14991499 ic.sort(key=lambda x: key(x[0]))
15001500 else:
15011501 ic.sort()
1502 return ~Permutation([i[1] for i in ic])
1502 return ~cls([i[1] for i in ic])
15031503
15041504 def __invert__(self):
15051505 """
15191519 >>> p*~p == ~p*p == Permutation([0, 1, 2, 3])
15201520 True
15211521 """
1522 return _af_new(_af_invert(self._array_form))
1522 return self._af_new(_af_invert(self._array_form))
15231523
15241524 def __iter__(self):
15251525 """Yield elements from array form.
15711571 raise TypeError('unrecognized argument')
15721572 else:
15731573 # P(1, 2, 3)
1574 return self*Permutation(Cycle(*i), size=self.size)
1574 return self*self.__class__(Cycle(*i), size=self.size)
15751575
15761576 def atoms(self):
15771577 """
16291629 perm[j], perm[i] = perm[i], perm[j]
16301630 i += 1
16311631 j -= 1
1632 return _af_new(perm)
1632 return self._af_new(perm)
16331633
16341634 @classmethod
1635 def unrank_nonlex(self, n, r):
1635 def unrank_nonlex(cls, n, r):
16361636 """
16371637 This is a linear time unranking algorithm that does not
16381638 respect lexicographic order [3].
16611661 n = int(n)
16621662 r = r % ifac(n)
16631663 _unrank1(n, r, id_perm)
1664 return _af_new(id_perm)
1664 return cls._af_new(id_perm)
16651665
16661666 def rank_nonlex(self, inv_perm=None):
16671667 """
17241724 r = self.rank_nonlex()
17251725 if r == ifac(self.size) - 1:
17261726 return None
1727 return Perm.unrank_nonlex(self.size, r + 1)
1727 return self.__class__.unrank_nonlex(self.size, r + 1)
17281728
17291729 def rank(self):
17301730 """
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 self._af_new([a[b[inva[i]]] for i in invb])
21292129
21302130 def signature(self):
21312131 """
23902390 return rank
23912391
23922392 @classmethod
2393 def unrank_trotterjohnson(self, size, rank):
2393 def unrank_trotterjohnson(cls, size, rank):
23942394 """
23952395 Trotter Johnson permutation unranking. See [4] section 2.4.
23962396
24232423 perm[i] = perm[i - 1]
24242424 perm[k] = j - 1
24252425 r2 = r1
2426 return _af_new(perm)
2426 return cls._af_new(perm)
24272427
24282428 def next_trotterjohnson(self):
24292429 """
24772477 done = True
24782478 if m == 0:
24792479 return None
2480 return _af_new(pi)
2480 return self._af_new(pi)
24812481
24822482 def get_precedence_matrix(self):
24832483 """
26612661 return sum([abs(a[i] - b[i]) for i in range(len(a))])
26622662
26632663 @classmethod
2664 def josephus(self, m, n, s=1):
2664 def josephus(cls, m, n, s=1):
26652665 """Return as a permutation the shuffling of range(n) using the Josephus
26662666 scheme in which every m-th item is selected until all have been chosen.
26672667 The returned permutation has elements listed by the order in which they
27072707 Q.append(Q.popleft())
27082708 perm.append(Q.popleft())
27092709 perm.extend(list(Q))
2710 return Perm(perm)
2710 return cls(perm)
27112711
27122712 @classmethod
2713 def from_inversion_vector(self, inversion):
2713 def from_inversion_vector(cls, inversion):
27142714 """
27152715 Calculates the permutation from the inversion vector.
27162716
27342734 except IndexError:
27352735 raise ValueError("The inversion vector is not valid.")
27362736 perm.extend(N)
2737 return _af_new(perm)
2737 return cls._af_new(perm)
27382738
27392739 @classmethod
2740 def random(self, n):
2740 def random(cls, n):
27412741 """
27422742 Generates a random permutation of length ``n``.
27432743
27532753 """
27542754 perm_array = list(range(n))
27552755 random.shuffle(perm_array)
2756 return _af_new(perm_array)
2756 return cls._af_new(perm_array)
27572757
27582758 @classmethod
2759 def unrank_lex(self, size, rank):
2759 def unrank_lex(cls, size, rank):
27602760 """
27612761 Lexicographic permutation unranking.
27622762
27872787 if perm_array[j] > d - 1:
27882788 perm_array[j] += 1
27892789 psize = new_psize
2790 return _af_new(perm_array)
2790 return cls._af_new(perm_array)
27912791
27922792 # global flag to control how permutations are printed
27932793 # when True, Permutation([0, 2, 1, 3]) -> Cycle(1, 2)
28282828 return inv_count
28292829
28302830Perm = Permutation
2831_af_new = Perm._af_new
Test NameStatus
test_Permutation_subclassing
Fail
test_mul
Fail
test_Permutation
Pass
test_josephus
Pass
test_ranking
Pass
test_args
Pass
test_Cycle
Pass
test_from_sequence
Pass
test_printing_cyclic
Pass
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