gh-35631: simplify some all(all(...)) in combinat and geometry
    
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### 📚 Description

replace some nested `all` by just one `all` in combinat and geometry
folders

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### ⌛ Dependencies

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URL: #35631
Reported by: Frédéric Chapoton
Reviewer(s): David Coudert

Author: Release Manager

src/sage/combinat/combinat_cython.pyx

@@ -762,7 +762,7 @@ def set_partition_composition(tuple sp1, tuple sp2):
                 diagram.append(tuple(block))
 
     # Everything else should be completely contained in the top block
-    assert all(all(val > 0 for val in top) for top in remaining_top)
+    assert all(val > 0 for top in remaining_top for val in top)
     diagram.extend(remaining_top)
 
     return (tuple(diagram), num_loops)

src/sage/combinat/crystals/tensor_product.py

@@ -934,7 +934,7 @@ def __classcall_private__(cls, cartan_type, shapes = None, shape = None):
             n1 = n + 1
         else:
             n1 = n
-        if not all(all(i == 0 for i in shape[n1:]) for shape in shapes):
+        if not all(i == 0 for shape in shapes for i in shape[n1:]):
             raise ValueError("shapes should all have length at most equal to the rank or the rank + 1 in type A")
         spin_shapes = tuple((tuple(shape) + (0,)*(n1-len(shape)))[:n1] for shape in shapes)
         try:

src/sage/combinat/designs/resolvable_bibd.py

@@ -592,13 +592,13 @@ def PBD_4_7(v,check=True, existence=False):
         parall = []
         plus_one = None
         for S in AF:
-            if all(all(x not in SS for x in S) for SS in parall):
+            if all(x not in SS for SS in parall for x in S):
                 parall.append(S)
             elif plus_one is None:
                 plus_one = S
             if len(parall) == 4 and plus_one is not None:
                 break
-        X = set(sum(parall,plus_one))
+        X = set(sum(parall, plus_one))
 
         S_4_5_7 = [X.intersection(S) for S in AF]
         S_4_5_7 = [S for S in S_4_5_7 if len(S)>1]

src/sage/combinat/diagram.py

@@ -475,20 +475,20 @@ def check(self):
             sage: D = Diagram([(0,0), (0,-3), (2,2), (2,4)])
             Traceback (most recent call last):
             ...
-            ValueError: Diagrams must be indexed by non-negative integers
+            ValueError: diagrams must be indexed by non-negative integers
 
         The next example fails because one cell is indexed by rational
         numbers::
 
             sage: D = Diagram([(0,0), (0,3), (2/3,2), (2,4)])
             Traceback (most recent call last):
             ...
-            ValueError: Diagrams must be indexed by non-negative integers
+            ValueError: diagrams must be indexed by non-negative integers
         """
         from sage.sets.non_negative_integers import NonNegativeIntegers
         NN = NonNegativeIntegers()
-        if not all(all(list(i in NN for i in c)) for c in self._cells):
-            raise ValueError("Diagrams must be indexed by non-negative integers")
+        if not all(i in NN for c in self._cells for i in c):
+            raise ValueError("diagrams must be indexed by non-negative integers")
 
     def specht_module(self, base_ring=None):
         r"""
@@ -884,7 +884,7 @@ def check(self):
             sage: NorthwestDiagram([(0,1/2)])
             Traceback (most recent call last):
             ...
-            ValueError: Diagrams must be indexed by non-negative integers
+            ValueError: diagrams must be indexed by non-negative integers
         """
         from itertools import combinations
         Diagram.check(self)

src/sage/combinat/gelfand_tsetlin_patterns.py

@@ -53,7 +53,7 @@
 
 
 class GelfandTsetlinPattern(ClonableArray,
-        metaclass=InheritComparisonClasscallMetaclass):
+                            metaclass=InheritComparisonClasscallMetaclass):
     r"""
     A Gelfand-Tsetlin (sometimes written as Gelfand-Zetlin or Gelfand-Cetlin)
     pattern.  They were originally defined in [GC50]_.
@@ -197,7 +197,7 @@ def _repr_diagram(self) -> str:
         for i, row in enumerate(self):
             if i != 0:
                 ret += '\n'
-            ret += '   '*i
+            ret += '   ' * i
             ret += '   '.join('%3s' % val for val in row)
         return ret
 
@@ -234,13 +234,13 @@ def _latex_(self) -> str:
         n = len(self)
         if n == 0:
             return "\\emptyset"
-        ret = "\\begin{array}{" + 'c'*(n*2-1) + "}\n"
+        ret = "\\begin{array}{" + 'c' * (n * 2 - 1) + "}\n"
         for i, row in enumerate(self):
             if i > 0:
                 ret += " \\\\\n"
-            ret += "& "*i
+            ret += "& " * i
             ret += " & & ".join(repr(val) for val in row)
-            ret += " &"*i
+            ret += " &" * i
         return ret + "\n\\end{array}"
 
     @combinatorial_map(name='to semistandard tableau')
@@ -282,9 +282,9 @@ def to_tableau(self):
                 if j >= len(ret):
                     if val == 0:
                         break
-                    ret.append([i+1]*val)
+                    ret.append([i + 1] * val)
                 else:
-                    ret[j].extend([i+1]*(val-len(ret[j])))
+                    ret[j].extend([i + 1] * (val - len(ret[j])))
         S = SemistandardTableaux(max_entry=len(self))
         return S(ret)
 
@@ -306,7 +306,7 @@ def boxed_entries(self) -> tuple:
         ret = []
         for i in range(1, len(self)):
             for j in range(len(self[i])):
-                if self[i][j] == self[i-1][j]:
+                if self[i][j] == self[i - 1][j]:
                     ret.append((i, j))
         return tuple(ret)
 
@@ -328,7 +328,7 @@ def circled_entries(self) -> tuple:
         ret = []
         for i in range(1, len(self)):
             for j in range(len(self[i])):
-                if self[i][j] == self[i-1][j+1]:
+                if self[i][j] == self[i - 1][j + 1]:
                     ret.append((i, j))
         return tuple(ret)
 
@@ -457,7 +457,7 @@ def weight(self) -> tuple:
             sage: G.weight()
             (2, 2, 3)
         """
-        wt = [self.row_sums()[-1]] + [self.row_sums()[i-1]-self.row_sums()[i] for i in reversed(range(1, len(self[0])))]
+        wt = [self.row_sums()[-1]] + [self.row_sums()[i - 1] - self.row_sums()[i] for i in reversed(range(1, len(self[0])))]
         return tuple(wt)
 
     def Tokuyama_coefficient(self, name='t'):
@@ -502,7 +502,7 @@ def Tokuyama_coefficient(self, name='t'):
         t = R.gen(0)
         if not self.is_strict():
             return R.zero()
-        return (t+1)**(self.number_of_special_entries()) * t**(self.number_of_boxes())
+        return (t + 1)**self.number_of_special_entries() * t**self.number_of_boxes()
 
     @combinatorial_map(order=2, name='Bender-Knuth involution')
     def bender_knuth_involution(self, i) -> GelfandTsetlinPattern:
@@ -703,15 +703,16 @@ def __contains__(self, gt):
         if self._n is not None and len(gt) != self._n:
             return False
         # Check if it has the correct maximum value
-        if self._k is not None and any( val > self._k for row in gt for val in row ):
+        if self._k is not None and any(val > self._k for row in gt
+                                       for val in row):
             return False
         # Check if it is a GT pattern
-        if not all( gt[i-1][j] >= gt[i][j] >= gt[i-1][j+1]
-                    for i in range(1, len(gt)) for j in range(len(gt[i])) ):
+        if not all(gt[i-1][j] >= gt[i][j] >= gt[i-1][j+1]
+                   for i in range(1, len(gt)) for j in range(len(gt[i]))):
             return False
         # Check if it is strict if applicable
-        if self._strict and any( gt[i][j] == gt[i][j-1] for i in range(len(gt))
-                for j in range(1, len(gt[i])) ):
+        if self._strict and any(gt[i][j] == gt[i][j-1] for i in range(len(gt))
+                                for j in range(1, len(gt[i]))):
             return False
         return True
 
@@ -965,7 +966,7 @@ def _top_row_iter(self, n):
                 continue
             # If it would create an invalid entry, backstep
             if (pos > 0 and (row[pos] >= row[pos-1]
-                    or (self._strict and row[pos] == row[pos-1]-1)) ) \
+                    or (self._strict and row[pos] == row[pos-1]-1))) \
                     or (self._k is not None and row[pos] >= self._k):
                 row[pos] = -1
                 pos -= 1
@@ -1052,8 +1053,7 @@ def _toggle_markov_chain(self, chain_state, row, col, direction):
             sage: G._toggle_markov_chain(state, 0, 2, 0)
             sage: state
             [[4, 2, 0], [3, 2], [2]]
-
-            """
+        """
         if direction == 1:
             upbound = self._k
             if row != 0:
@@ -1130,8 +1130,7 @@ def _cftp(self, start_row):
             True
         """
         from sage.misc.randstate import current_randstate
-        from sage.misc.randstate import seed
-        from sage.misc.randstate import random
+        from sage.misc.randstate import seed, random
 
         count = self._n * self._k
         seedlist = [(current_randstate().long_seed(), count)]
@@ -1148,7 +1147,8 @@ def _cftp(self, start_row):
                                 direction = random() % 2
                                 self._toggle_markov_chain(upper, row, col, direction)
                                 self._toggle_markov_chain(lower, row, col, direction)
-            if all(all(x == y for x, y in zip(l1, l2)) for l1, l2 in zip(upper, lower)):
+            if all(x == y for l1, l2 in zip(upper, lower)
+                   for x, y in zip(l1, l2)):
                 break
             count = seedlist[0][1] * 2
             seedlist.insert(0, (current_randstate().long_seed(), count))
@@ -1283,7 +1283,7 @@ def __iter__(self):
              [[4, 2, 1], [4, 2], [4]]]
         """
         # If we enforce strictness, check to see if a specified top row is strict
-        if self._strict and any(self._row[i] == self._row[i+1] for i in range(self._n-1)):
+        if self._strict and any(self._row[i] == self._row[i + 1] for i in range(self._n - 1)):
             return
         if self._n == 0:
             yield self.element_class(self, [])
@@ -1292,8 +1292,8 @@ def __iter__(self):
             yield self.element_class(self, [list(self._row)])
             return
         # Setup the first row
-        iters = [None]*self._n
-        ret = [None]*self._n
+        iters = [None] * self._n
+        ret = [None] * self._n
         ret[0] = list(self._row)
         min_pos = 1
         iters[1] = self._row_iter(ret[0])
@@ -1307,7 +1307,7 @@ def __iter__(self):
                     yield self.element_class(self, ret[:])
                     pos -= 1
                     continue
-                iters[pos] = self._row_iter(ret[pos-1])
+                iters[pos] = self._row_iter(ret[pos - 1])
             except StopIteration:
                 pos -= 1
 
@@ -1358,12 +1358,12 @@ def Tokuyama_formula(self, name='t'):
             0
         """
         n = self._n
-        variables = [name] + ["x%d" % i for i in range(1, n+1)]
+        variables = [name] + ["x%d" % i for i in range(1, n + 1)]
         R = PolynomialRing(ZZ, names=variables)
         t = R.gen(0)
         x = R.gens()[1:]
         GT = GelfandTsetlinPatterns(top_row=self._row, strict=True)
-        return sum((t+1)**(gt.number_of_special_entries()) * t**(gt.number_of_boxes()) * prod(x[i]**gt.weight()[i] for i in range(n)) for gt in GT)
+        return sum((t + 1)**gt.number_of_special_entries() * t**gt.number_of_boxes() * prod(x[i]**gt.weight()[i] for i in range(n)) for gt in GT)
 
     def _cftp_upper(self) -> list:
         """

src/sage/combinat/path_tableaux/frieze.py

@@ -295,7 +295,8 @@ def is_integral(self):
         """
         n = len(self)
         cd = CylindricalDiagram(self).diagram
-        return all(all(k in ZZ for k in a[i+1:n+i-2]) for i, a in enumerate(cd))
+        return all(k in ZZ for i, a in enumerate(cd)
+                   for k in a[i + 1:n + i - 2])
 
     def triangulation(self):
         r"""

src/sage/combinat/path_tableaux/semistandard.py

@@ -246,7 +246,7 @@ def is_skew(self):
         """
         return bool(self[0])
 
-    def is_integral(self):
+    def is_integral(self) -> bool:
         """
         Return ``True`` if all entries are non-negative integers.
 
@@ -259,7 +259,7 @@ def is_integral(self):
             sage: path_tableaux.SemistandardPathTableau([[],[3],[3,-2]]).is_integral()
             False
         """
-        return all(all(i in NN for i in a) for a in self)
+        return all(i in NN for a in self for i in a)
 
     def local_rule(self, i):
         r"""

src/sage/combinat/plane_partition.py

@@ -213,7 +213,7 @@ def check(self):
             ValueError: entries not all integers
 
         """
-        if not all(all(a in ZZ for a in b) for b in self):
+        if not all(a in ZZ for b in self for a in b):
             raise ValueError("entries not all integers")
         for row in self:
             if not all(c >= 0 for c in row):
@@ -1374,7 +1374,7 @@ def __contains__(self, pp):
         if isinstance(pp, (list, tuple)):
             if not pp:
                 return True
-            if not all(all(a in ZZ for a in b) for b in pp):
+            if not all(a in ZZ for b in pp for a in b):
                 return False
             for row in pp:
                 if not all(c >= 0 for c in row):
@@ -1852,7 +1852,8 @@ def to_poset(self):
         def comp(x, y):
             return all(a <= b for a, b in zip(x, y))
 
-        pl = [(x, y, z) for x in range(a) for y in range(x+1) for z in range(c)]
+        pl = [(x, y, z) for x in range(a) for y in range(x + 1)
+              for z in range(c)]
         from sage.combinat.posets.posets import Poset
         return Poset((pl, comp))
 
@@ -2048,7 +2049,7 @@ def comp2(x, y):
             return comp(x, y) or comp(x, (y[2], y[0], y[1])) or comp(x, (y[1], y[2], y[0]))
 
         pl = [(x, y, z) for x in range(a) for y in range(b) for z in range(x, c)
-              if y <= z  and (x != z or y == x)]
+              if y <= z and (x != z or y == x)]
         from sage.combinat.posets.posets import Poset
         return Poset((pl, comp2))
 

src/sage/combinat/ribbon_shaped_tableau.py

@@ -78,14 +78,27 @@ def __classcall_private__(cls, rows):
 
             sage: RibbonShapedTableau([[2,3],[1,4,5]])
             [[None, None, 2, 3], [1, 4, 5]]
+
+        TESTS::
+
+            sage: RibbonShapedTableau([4,5])
+            Traceback (most recent call last):
+            ...
+            TypeError: rows must be lists of positive integers
+
+            sage: RibbonShapedTableau([[2,3],[-4,5]])
+            Traceback (most recent call last):
+            ...
+            TypeError: r must be a list of positive integers
         """
         try:
             r = [tuple(r) for r in rows]
         except TypeError:
             raise TypeError("rows must be lists of positive integers")
         if not r:
             return StandardRibbonShapedTableaux()(r)
-        if all(all(j is None or (isinstance(j, (int, Integer)) and j>0) for j in i) for i in r):
+        if all(j is None or (isinstance(j, (int, Integer)) and j > 0)
+               for i in r for j in i):
             return StandardRibbonShapedTableaux()(r)
         raise TypeError("r must be a list of positive integers")
 

src/sage/combinat/symmetric_group_algebra.py

@@ -1339,14 +1339,13 @@ def rsw_shuffling_element(self, k):
             sage: def test_rsw_comm(n):
             ....:     QSn = SymmetricGroupAlgebra(QQ, n)
             ....:     rsws = [QSn.rsw_shuffling_element(k) for k in range(2, n)]
-            ....:     return all( all( rsws[i] * rsws[j] == rsws[j] * rsws[i]
-            ....:                      for j in range(i) )
-            ....:                 for i in range(len(rsws)) )
+            ....:     return all(ri * rsws[j] == rsws[j] * ri
+            ....:                for i, ri in enumerate(rsws) for j in range(i))
             sage: test_rsw_comm(3)
             True
-            sage: test_rsw_comm(4)
+            sage: test_rsw_comm(4)   # long time
             True
-            sage: test_rsw_comm(5)   # long time
+            sage: test_rsw_comm(5)   # not tested
             True
 
         .. NOTE::