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rebase and whitespace
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src/sage/geometry/polyhedron/parent.py

Lines changed: 22 additions & 22 deletions
Original file line numberDiff line numberDiff line change
@@ -110,9 +110,8 @@ def Polyhedra(base_ring, ambient_dim, backend=None):
110110
raise ValueError("the 'field' backend for polyhedron can not be used with non-exact fields")
111111
return Polyhedra_field(base_ring.fraction_field(), ambient_dim)
112112
else:
113-
raise ValueError('No such backend (='+str(backend)+
114-
') implemented for given basering (='+str(base_ring)+').')
115-
113+
raise ValueError('No such backend (=' + str(backend) +
114+
') implemented for given basering (=' + str(base_ring)+').')
116115

117116

118117
class Polyhedra_base(UniqueRepresentation, Parent):
@@ -222,14 +221,14 @@ def an_element(self):
222221
A 4-dimensional polyhedron in QQ^4 defined as the convex hull of 5 vertices
223222
"""
224223
zero = self.base_ring().zero()
225-
one = self.base_ring().one()
224+
one = self.base_ring().one()
226225
p = [zero] * self.ambient_dim()
227226
points = [p]
228-
for i in range(0,self.ambient_dim()):
227+
for i in range(0, self.ambient_dim()):
229228
p = [zero] * self.ambient_dim()
230229
p[i] = one
231230
points.append(p)
232-
return self.element_class(self, [points,[],[]], None)
231+
return self.element_class(self, [points, [], []], None)
233232

234233
@cached_method
235234
def some_elements(self):
@@ -251,16 +250,16 @@ def some_elements(self):
251250
if self.ambient_dim() == 0:
252251
return [
253252
self.element_class(self, None, None),
254-
self.element_class(self, None, [[],[]]) ]
253+
self.element_class(self, None, [[], []])]
255254
points = []
256255
R = self.base_ring()
257-
for i in range(0,self.ambient_dim()+5):
258-
points.append([R(i*j^2) for j in range(0,self.ambient_dim())])
256+
for i in range(0, self.ambient_dim() + 5):
257+
points.append([R(i*j^2) for j in range(0, self.ambient_dim())])
259258
return [
260259
self.element_class(self, [points[0:self.ambient_dim()+1], [], []], None),
261260
self.element_class(self, [points[0:1], points[1:self.ambient_dim()+1], []], None),
262261
self.element_class(self, [points[0:3], points[4:5], []], None),
263-
self.element_class(self, None, None) ]
262+
self.element_class(self, None, None)]
264263

265264
@cached_method
266265
def zero(self):
@@ -432,7 +431,7 @@ def _element_constructor_(self, *args, **kwds):
432431
433432
sage: from sage.geometry.polyhedron.parent import Polyhedra
434433
sage: P = Polyhedra(QQ, 3)
435-
sage: P._element_constructor_([[(0,0,0),(1,0,0),(0,1,0),(0,0,1)], [], []], None)
434+
sage: P._element_constructor_([[(0, 0, 0), (1, 0, 0), (0, 1, 0), (0,0,1)], [], []], None)
436435
A 3-dimensional polyhedron in QQ^3 defined as the convex hull of 4 vertices
437436
sage: P([[(0,0,0),(1,0,0),(0,1,0),(0,0,1)], [], []], None)
438437
A 3-dimensional polyhedron in QQ^3 defined as the convex hull of 4 vertices
@@ -448,47 +447,49 @@ def _element_constructor_(self, *args, **kwds):
448447
sage: P = b.interactive_lp_problem()
449448
sage: p = P.plot()
450449
451-
sage: Q=Polyhedron(ieqs=[[-499999,1000000],[1499999,-1000000]])
452-
sage: P=Polyhedron(ieqs=[[0,1.0],[1.0,-1.0]], base_ring=RDF)
450+
sage: Q = Polyhedron(ieqs=[[-499999, 1000000], [1499999, -1000000]])
451+
sage: P = Polyhedron(ieqs=[[0, 1.0], [1.0, -1.0]], base_ring=RDF)
453452
sage: Q.intersection(P)
454453
A 1-dimensional polyhedron in RDF^1 defined as the convex hull of 2 vertices
455454
sage: P.intersection(Q)
456455
A 1-dimensional polyhedron in RDF^1 defined as the convex hull of 2 vertices
457456
"""
458457
nargs = len(args)
459458
convert = kwds.pop('convert', True)
459+
460460
def convert_base_ring(lstlst):
461-
return [ [self.base_ring()(x) for x in lst] for lst in lstlst]
461+
return [[self.base_ring()(x) for x in lst] for lst in lstlst]
462+
462463
# renormalize before converting when going from QQ to RDF, see trac 21270
463464
def convert_base_ring_Hrep(lstlst):
464465
newlstlst = []
465466
for lst in lstlst:
466467
if all(c in QQ for c in lst):
467-
m=max(abs(w) for w in lst)
468+
m = max(abs(w) for w in lst)
468469
if m == 0:
469470
newlstlst.append(lst)
470471
else:
471472
newlstlst.append([q/m for q in lst])
472473
else:
473474
newlstlst.append(lst)
474475
return convert_base_ring(newlstlst)
475-
if nargs==2:
476+
if nargs == 2:
476477
Vrep, Hrep = args
477478
if convert and Hrep:
478-
if self.base_ring==RDF:
479+
if self.base_ring == RDF:
479480
Hrep = [convert_base_ring_Hrep(_) for _ in Hrep]
480481
else:
481482
Hrep = [convert_base_ring(_) for _ in Hrep]
482483
if convert and Vrep:
483484
Vrep = [convert_base_ring(_) for _ in Vrep]
484485
return self.element_class(self, Vrep, Hrep, **kwds)
485-
if nargs==1 and is_Polyhedron(args[0]):
486+
if nargs == 1 and is_Polyhedron(args[0]):
486487
polyhedron = args[0]
487-
Hrep = [ polyhedron.inequality_generator(), polyhedron.equation_generator() ]
488-
if self.base_ring()==RDF:
488+
Hrep = [polyhedron.inequality_generator(), polyhedron.equation_generator()]
489+
if self.base_ring() == RDF:
489490
Hrep = [convert_base_ring_Hrep(_) for _ in Hrep]
490491
return self.element_class(self, None, Hrep, **kwds)
491-
if nargs==1 and args[0]==0:
492+
if nargs == 1 and args[0] == 0:
492493
return self.zero()
493494
raise ValueError('Cannot convert to polyhedron object.')
494495

@@ -874,4 +875,3 @@ class Polyhedra_RDF_cdd(Polyhedra_base):
874875

875876
class Polyhedra_field(Polyhedra_base):
876877
Element = Polyhedron_field
877-

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