def test_Real(): def eq(a, b): t = Real("1.0E-15") return (-t < a-b < t) a = Real(2) ** Real(3) assert eq(a.evalf(), Real(8)) assert eq((pi ** -1).evalf(), Real("0.31830988618379067")) a = Real(2) ** Real(4) assert eq(a.evalf(), Real(16)) assert (S(.3) == S(.5)) is False x_str = Real((0, '13333333333333L', -52, 53)) x2_str = Real((0, '26666666666666L', -53, 53)) x_hex = Real((0, 0x13333333333333L, -52, 53)) x_dec = Real((0, 5404319552844595L, -52, 53)) x2_hex = Real((0, 0x13333333333333L*2, -53, 53)) assert x_str == x_hex == x_dec == x2_hex == Real(1.2) # x2_str and 1.2 are superficially the same assert str(x2_str) == str(Real(1.2)) # but are different at the mpf level assert Real(1.2)._mpf_ == (0, 5404319552844595L, -52, 53) assert x2_str._mpf_ == (0, 10808639105689190L, -53, 53) # do not automatically evalf def teq(a): assert (a.evalf () == a) is False assert (a.evalf () != a) is True assert (a == a.evalf()) is False assert (a != a.evalf()) is True teq(pi) teq(2*pi) teq(cos(0.1, evaluate=False))
def test_Real(): def eq(a, b): t = Real("1.0E-15") return (-t < a - b < t) a = Real(2)**Real(3) assert eq(a.evalf(), Real(8)) assert eq((pi**-1).evalf(), Real("0.31830988618379067")) a = Real(2)**Real(4) assert eq(a.evalf(), Real(16)) assert (S(.3) == S(.5)) is False x_str = Real((0, '13333333333333L', -52, 53)) x2_str = Real((0, '26666666666666L', -53, 53)) x_hex = Real((0, 0x13333333333333L, -52, 53)) x_dec = Real((0, 5404319552844595L, -52, 53)) x2_hex = Real((0, 0x13333333333333L * 2, -53, 53)) assert x_str == x_hex == x_dec == x2_hex == Real(1.2) # x2_str and 1.2 are superficially the same assert str(x2_str) == str(Real(1.2)) # but are different at the mpf level assert Real(1.2)._mpf_ == (0, 5404319552844595L, -52, 53) assert x2_str._mpf_ == (0, 10808639105689190L, -53, 53) # do not automatically evalf def teq(a): assert (a.evalf() == a) is False assert (a.evalf() != a) is True assert (a == a.evalf()) is False assert (a != a.evalf()) is True teq(pi) teq(2 * pi) teq(cos(0.1, evaluate=False))
def test_Real(): def eq(a, b): t = Real("1.0E-15") return (-t < a - b < t) a = Real(2)**Real(3) assert eq(a.evalf(), Real(8)) assert eq((pi**-1).evalf(), Real("0.31830988618379067")) a = Real(2)**Real(4) assert eq(a.evalf(), Real(16))
def test_Real(): def eq(a, b): t = Real("1.0E-15") return (-t < a-b < t) a = Real(2) ** Real(3) assert eq(a.evalf(), Real(8)) assert eq((pi ** -1).evalf(), Real("0.31830988618379067")) a = Real(2) ** Real(4) assert eq(a.evalf(), Real(16))
def test_Real(): def eq(a, b): t = Real("1.0E-15") return -t < a - b < t a = Real(2) ** Real(3) assert eq(a.evalf(), Real(8)) assert eq((pi ** -1).evalf(), Real("0.31830988618379067")) a = Real(2) ** Real(4) assert eq(a.evalf(), Real(16)) assert (S(0.3) == S(0.5)) is False x_str = Real((0, "13333333333333L", -52, 53)) x2_str = Real((0, "26666666666666L", -53, 53)) x_hex = Real((0, 0x13333333333333L, -52, 53)) x_dec = Real((0, 5404319552844595L, -52, 53)) x2_hex = Real((0, 0x13333333333333L * 2, -53, 53)) assert x_str == x_hex == x_dec == x2_hex == Real(1.2) # x2_str and 1.2 are superficially the same assert str(x2_str) == str(Real(1.2)) # but are different at the mpf level assert Real(1.2)._mpf_ == (0, 5404319552844595L, -52, 53) assert x2_str._mpf_ == (0, 10808639105689190L, -53, 53)