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- from mpmath import *
- def test_special():
- assert inf == inf
- assert inf != -inf
- assert -inf == -inf
- assert inf != nan
- assert nan != nan
- assert isnan(nan)
- assert --inf == inf
- assert abs(inf) == inf
- assert abs(-inf) == inf
- assert abs(nan) != abs(nan)
- assert isnan(inf - inf)
- assert isnan(inf + (-inf))
- assert isnan(-inf - (-inf))
- assert isnan(inf + nan)
- assert isnan(-inf + nan)
- assert mpf(2) + inf == inf
- assert 2 + inf == inf
- assert mpf(2) - inf == -inf
- assert 2 - inf == -inf
- assert inf > 3
- assert 3 < inf
- assert 3 > -inf
- assert -inf < 3
- assert inf > mpf(3)
- assert mpf(3) < inf
- assert mpf(3) > -inf
- assert -inf < mpf(3)
- assert not (nan < 3)
- assert not (nan > 3)
- assert isnan(inf * 0)
- assert isnan(-inf * 0)
- assert inf * 3 == inf
- assert inf * -3 == -inf
- assert -inf * 3 == -inf
- assert -inf * -3 == inf
- assert inf * inf == inf
- assert -inf * -inf == inf
- assert isnan(nan / 3)
- assert inf / -3 == -inf
- assert inf / 3 == inf
- assert 3 / inf == 0
- assert -3 / inf == 0
- assert 0 / inf == 0
- assert isnan(inf / inf)
- assert isnan(inf / -inf)
- assert isnan(inf / nan)
- assert mpf('inf') == mpf('+inf') == inf
- assert mpf('-inf') == -inf
- assert isnan(mpf('nan'))
- assert isinf(inf)
- assert isinf(-inf)
- assert not isinf(mpf(0))
- assert not isinf(nan)
- def test_special_powers():
- assert inf**3 == inf
- assert isnan(inf**0)
- assert inf**-3 == 0
- assert (-inf)**2 == inf
- assert (-inf)**3 == -inf
- assert isnan((-inf)**0)
- assert (-inf)**-2 == 0
- assert (-inf)**-3 == 0
- assert isnan(nan**5)
- assert isnan(nan**0)
- def test_functions_special():
- assert exp(inf) == inf
- assert exp(-inf) == 0
- assert isnan(exp(nan))
- assert log(inf) == inf
- assert isnan(log(nan))
- assert isnan(sin(inf))
- assert isnan(sin(nan))
- assert atan(inf).ae(pi/2)
- assert atan(-inf).ae(-pi/2)
- assert isnan(sqrt(nan))
- assert sqrt(inf) == inf
- def test_convert_special():
- float_inf = 1e300 * 1e300
- float_ninf = -float_inf
- float_nan = float_inf/float_ninf
- assert mpf(3) * float_inf == inf
- assert mpf(3) * float_ninf == -inf
- assert isnan(mpf(3) * float_nan)
- assert not (mpf(3) < float_nan)
- assert not (mpf(3) > float_nan)
- assert not (mpf(3) <= float_nan)
- assert not (mpf(3) >= float_nan)
- assert float(mpf('1e1000')) == float_inf
- assert float(mpf('-1e1000')) == float_ninf
- assert float(mpf('1e100000000000000000')) == float_inf
- assert float(mpf('-1e100000000000000000')) == float_ninf
- assert float(mpf('1e-100000000000000000')) == 0.0
- def test_div_bug():
- assert isnan(nan/1)
- assert isnan(nan/2)
- assert inf/2 == inf
- assert (-inf)/2 == -inf
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