def __setstate__(self, state):
"""
Restore from old pickle.
EXAMPLES::
sage: from sage.groups.matrix_gps.pickling_overrides import LegacyMatrixGroup
sage: state = dict()
sage: state['_MatrixGroup_gap__n'] = 2
sage: state['_MatrixGroup_gap__R'] = GF(3)
sage: state['_gensG'] = [ matrix(GF(3), [[1,2],[0,1]]) ]
sage: M = LegacyMatrixGroup.__new__(LegacyMatrixGroup)
sage: M.__setstate__(state)
sage: M
Matrix group over Finite Field of size 3 with 1 generators (
[1 2]
[0 1]
)
"""
matrix_gens = state['_gensG']
ring = state['_MatrixGroup_gap__R']
degree = state['_MatrixGroup_gap__n']
from sage.libs.all import libgap
libgap_group = libgap.Group(libgap(matrix_gens))
self.__init__(degree, ring, libgap_group)
def __setstate__(self, state):
"""
Restore from old pickle.
EXAMPLES::
sage: from sage.groups.matrix_gps.pickling_overrides import LegacyMatrixGroup
sage: state = dict()
sage: state['_MatrixGroup_gap__n'] = 2
sage: state['_MatrixGroup_gap__R'] = GF(3)
sage: state['_gensG'] = [ matrix(GF(3), [[1,2],[0,1]]) ]
sage: M = LegacyMatrixGroup.__new__(LegacyMatrixGroup)
sage: M.__setstate__(state)
sage: M
Matrix group over Finite Field of size 3 with 1 generators (
[1 2]
[0 1]
)
"""
matrix_gens = state['_gensG']
ring = state['_MatrixGroup_gap__R']
degree = state['_MatrixGroup_gap__n']
from sage.libs.all import libgap
libgap_group = libgap.Group(libgap(matrix_gens))
self.__init__(degree, ring, libgap_group)
def test_loop_3():
"""
EXAMPLES::
sage: from sage.libs.gap.test_long import test_loop_3
sage: test_loop_3()
"""
G = libgap.FreeGroup(2)
(a,b) = G.GeneratorsOfGroup()
for i in range(300000):
lis=libgap([])
lis.Add(a ** 2)
lis.Add(b ** 2)
lis.Add(b * a)
def test_loop_3():
"""
EXAMPLES::
sage: from sage.libs.gap.test_long import test_loop_3
sage: test_loop_3() # long time (31s on sage.math, 2013)
"""
G = libgap.FreeGroup(2)
(a, b) = G.GeneratorsOfGroup()
for i in range(300000):
lis = libgap([])
lis.Add(a**2)
lis.Add(b**2)
lis.Add(b * a)
def test_loop_2():
"""
EXAMPLES::
sage: from sage.libs.gap.test_long import test_loop_2
sage: test_loop_2()
"""
G =libgap.FreeGroup(2)
a,b = G.GeneratorsOfGroup()
for i in range(100):
rel = libgap([a**2, b**2, a*b*a*b])
H = G / rel
H1 = H.GeneratorsOfGroup()[0]
n = H1.Order()
assert n.sage() == 2
for i in range(300000):
n = libgap.Order(H1)
def test_loop_2():
"""
EXAMPLES::
sage: from sage.libs.gap.test_long import test_loop_2
sage: test_loop_2() # long time (10s on sage.math, 2013)
"""
G = libgap.FreeGroup(2)
a, b = G.GeneratorsOfGroup()
for i in range(100):
rel = libgap([a**2, b**2, a * b * a * b])
H = G / rel
H1 = H.GeneratorsOfGroup()[0]
n = H1.Order()
assert n.sage() == 2
for i in range(300000):
n = libgap.Order(H1)