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() # 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)