예제 #1
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def test_extended_real():
    x = symbols('x')
    assert ask(Q.extended_real(x), Q.positive(x)) == True
    assert ask(Q.extended_real(-x), Q.positive(x)) == True
    assert ask(Q.extended_real(-x), Q.negative(x)) == True

    assert ask(Q.extended_real(x + S.Infinity), Q.real(x)) == True
예제 #2
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def test_extended_real():
    x = symbols('x')
    assert ask(Q.extended_real(x), Q.positive(x)) == True
    assert ask(Q.extended_real(-x), Q.positive(x)) == True
    assert ask(Q.extended_real(-x), Q.negative(x)) == True

    assert ask(Q.extended_real(x+S.Infinity), Q.real(x)) == True
예제 #3
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def test_nan():
    nan = S.NaN
    assert ask(Q.commutative(nan))   == True
    assert ask(Q.integer(nan))       == False
    assert ask(Q.rational(nan))      == False
    assert ask(Q.real(nan))          == False
    assert ask(Q.extended_real(nan)) == False
    assert ask(Q.complex(nan))       == False
    assert ask(Q.irrational(nan))    == False
    assert ask(Q.imaginary(nan))     == False
    assert ask(Q.positive(nan))      == False
    assert ask(Q.nonzero(nan))       == True
    assert ask(Q.even(nan))          == False
    assert ask(Q.odd(nan))           == False
    assert ask(Q.bounded(nan))       == False
    assert ask(Q.infinitesimal(nan)) == False
    assert ask(Q.prime(nan))         == False
    assert ask(Q.composite(nan))     == False
예제 #4
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def test_neg_infinity():
    mm = S.NegativeInfinity
    assert ask(Q.commutative(mm))    == True
    assert ask(Q.integer(mm))        == False
    assert ask(Q.rational(mm))       == False
    assert ask(Q.real(mm))           == False
    assert ask(Q.extended_real(mm))  == True
    assert ask(Q.complex(mm))        == False
    assert ask(Q.irrational(mm))     == False
    assert ask(Q.imaginary(mm))      == False
    assert ask(Q.positive(mm))       == False
    assert ask(Q.negative(mm))       == True
    assert ask(Q.even(mm))           == False
    assert ask(Q.odd(mm))            == False
    assert ask(Q.bounded(mm))        == False
    assert ask(Q.infinitesimal(mm))  == False
    assert ask(Q.prime(mm))          == False
    assert ask(Q.composite(mm))      == False
예제 #5
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def test_infinity():
    oo = S.Infinity
    assert ask(Q.commutative(oo))     == True
    assert ask(Q.integer(oo))         == False
    assert ask(Q.rational(oo))        == False
    assert ask(Q.real(oo))            == False
    assert ask(Q.extended_real(oo))   == True
    assert ask(Q.complex(oo))         == False
    assert ask(Q.irrational(oo))      == False
    assert ask(Q.imaginary(oo))       == False
    assert ask(Q.positive(oo))        == True
    assert ask(Q.negative(oo))        == False
    assert ask(Q.even(oo))            == False
    assert ask(Q.odd(oo))             == False
    assert ask(Q.bounded(oo))         == False
    assert ask(Q.infinitesimal(oo))   == False
    assert ask(Q.prime(oo))           == False
    assert ask(Q.composite(oo))       == False
예제 #6
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def test_nan():
    nan = S.NaN
    assert ask(Q.commutative(nan)) == True
    assert ask(Q.integer(nan)) == False
    assert ask(Q.rational(nan)) == False
    assert ask(Q.real(nan)) == False
    assert ask(Q.extended_real(nan)) == False
    assert ask(Q.complex(nan)) == False
    assert ask(Q.irrational(nan)) == False
    assert ask(Q.imaginary(nan)) == False
    assert ask(Q.positive(nan)) == False
    assert ask(Q.nonzero(nan)) == True
    assert ask(Q.even(nan)) == False
    assert ask(Q.odd(nan)) == False
    assert ask(Q.bounded(nan)) == False
    assert ask(Q.infinitesimal(nan)) == False
    assert ask(Q.prime(nan)) == False
    assert ask(Q.composite(nan)) == False
예제 #7
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def test_neg_infinity():
    mm = S.NegativeInfinity
    assert ask(Q.commutative(mm)) == True
    assert ask(Q.integer(mm)) == False
    assert ask(Q.rational(mm)) == False
    assert ask(Q.real(mm)) == False
    assert ask(Q.extended_real(mm)) == True
    assert ask(Q.complex(mm)) == False
    assert ask(Q.irrational(mm)) == False
    assert ask(Q.imaginary(mm)) == False
    assert ask(Q.positive(mm)) == False
    assert ask(Q.negative(mm)) == True
    assert ask(Q.even(mm)) == False
    assert ask(Q.odd(mm)) == False
    assert ask(Q.bounded(mm)) == False
    assert ask(Q.infinitesimal(mm)) == False
    assert ask(Q.prime(mm)) == False
    assert ask(Q.composite(mm)) == False
예제 #8
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def test_infinity():
    oo = S.Infinity
    assert ask(Q.commutative(oo)) == True
    assert ask(Q.integer(oo)) == False
    assert ask(Q.rational(oo)) == False
    assert ask(Q.real(oo)) == False
    assert ask(Q.extended_real(oo)) == True
    assert ask(Q.complex(oo)) == False
    assert ask(Q.irrational(oo)) == False
    assert ask(Q.imaginary(oo)) == False
    assert ask(Q.positive(oo)) == True
    assert ask(Q.negative(oo)) == False
    assert ask(Q.even(oo)) == False
    assert ask(Q.odd(oo)) == False
    assert ask(Q.bounded(oo)) == False
    assert ask(Q.infinitesimal(oo)) == False
    assert ask(Q.prime(oo)) == False
    assert ask(Q.composite(oo)) == False
예제 #9
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파일: wrapper.py 프로젝트: quangpq/sympy
def is_extended_real(obj, assumptions=None):
    if assumptions is None:
        return obj.is_extended_real
    return ask(Q.extended_real(obj), assumptions)