def test_atan():
mp.dps = 15
assert atan(-2.3).ae(math.atan(-2.3))
assert atan(1e-50) == 1e-50
assert atan(1e50).ae(pi/2)
assert atan(-1e-50) == -1e-50
assert atan(-1e50).ae(-pi/2)
assert atan(10**1000).ae(pi/2)
for dps in [25, 70, 100, 300, 1000]:
mp.dps = dps
assert (4*atan(1)).ae(pi)
mp.dps = 15
pi2 = pi/2
assert atan(mpc(inf,-1)).ae(pi2)
assert atan(mpc(inf,0)).ae(pi2)
assert atan(mpc(inf,1)).ae(pi2)
assert atan(mpc(1,inf)).ae(pi2)
assert atan(mpc(0,inf)).ae(pi2)
assert atan(mpc(-1,inf)).ae(-pi2)
assert atan(mpc(-inf,1)).ae(-pi2)
assert atan(mpc(-inf,0)).ae(-pi2)
assert atan(mpc(-inf,-1)).ae(-pi2)
assert atan(mpc(-1,-inf)).ae(-pi2)
assert atan(mpc(0,-inf)).ae(-pi2)
assert atan(mpc(1,-inf)).ae(pi2)
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