def test_exact_sqrts():
for i in range(20000):
assert sqrt(mpf(i*i)) == i
random.seed(1)
for prec in [100, 300, 1000, 10000]:
mp.dps = prec
for i in range(20):
A = random.randint(10**(prec//2-2), 10**(prec//2-1))
assert sqrt(mpf(A*A)) == A
mp.dps = 15
for i in range(100):
for a in [1, 8, 25, 112307]:
assert sqrt(mpf((a*a, 2*i))) == mpf((a, i))
assert sqrt(mpf((a*a, -2*i))) == mpf((a, -i))
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