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from sympy.assumptions.ask import Q
from sympy.assumptions.wrapper import (AssumptionsWrapper, is_infinite,
is_extended_real)
from sympy.core.symbol import Symbol
from sympy.core.assumptions import _assume_defined
def test_all_predicates():
for fact in _assume_defined:
method_name = f'_eval_is_{fact}'
assert hasattr(AssumptionsWrapper, method_name)
def test_AssumptionsWrapper():
x = Symbol('x', positive=True)
y = Symbol('y')
assert AssumptionsWrapper(x).is_positive
assert AssumptionsWrapper(y).is_positive is None
assert AssumptionsWrapper(y, Q.positive(y)).is_positive
def test_is_infinite():
x = Symbol('x', infinite=True)
y = Symbol('y', infinite=False)
z = Symbol('z')
assert is_infinite(x)
assert not is_infinite(y)
assert is_infinite(z) is None
assert is_infinite(z, Q.infinite(z))
def test_is_extended_real():
x = Symbol('x', extended_real=True)
y = Symbol('y', extended_real=False)
z = Symbol('z')
assert is_extended_real(x)
assert not is_extended_real(y)
assert is_extended_real(z) is None
assert is_extended_real(z, Q.extended_real(z))