Ejemplo n.º 1
0
def test_Factors():
    assert Factors() == Factors({})

    assert Factors().as_expr() == S.One
    assert Factors({
        x: 2,
        y: 3,
        sin(x): 4
    }).as_expr() == x**2 * y**3 * sin(x)**4

    a = Factors({x: 5, y: 3, z: 7})
    b = Factors({y: 4, z: 3, t: 10})

    assert a.mul(b) == a * b == Factors({x: 5, y: 7, z: 10, t: 10})

    assert a.div(b) == divmod(a, b) == (Factors({
        x: 5,
        z: 4
    }), Factors({
        y: 1,
        t: 10
    }))
    assert a.quo(b) == a / b == Factors({x: 5, z: 4})
    assert a.rem(b) == a % b == Factors({y: 1, t: 10})

    assert a.pow(3) == a**3 == Factors({x: 15, y: 9, z: 21})
    assert b.pow(3) == b**3 == Factors({y: 12, z: 9, t: 30})

    assert a.gcd(b) == Factors({y: 3, z: 3})
    assert a.lcm(b) == Factors({x: 5, y: 4, z: 7, t: 10})

    a = Factors({x: 4, y: 7, t: 7})
    b = Factors({z: 1, t: 3})

    assert a.normal(b) == (Factors({x: 4, y: 7, t: 4}), Factors({z: 1}))
Ejemplo n.º 2
0
def test_Factors():
    assert Factors() == Factors({})

    assert Factors().as_expr() == S.One
    assert Factors({x: 2, y: 3, sin(x): 4}).as_expr() == x**2*y**3*sin(x)**4

    a = Factors({x: 5, y: 3, z: 7})
    b = Factors({y: 4, z: 3, t: 10})

    assert a.mul(b) == a*b == Factors({x: 5, y: 7, z: 10, t: 10})

    assert a.div(b) == divmod(a, b) == (Factors({x: 5, z: 4}), Factors({y: 1, t: 10}))
    assert a.quo(b) == a/b == Factors({x: 5, z: 4})
    assert a.rem(b) == a%b == Factors({y: 1, t: 10})

    assert a.pow(3) == a**3 == Factors({x: 15, y: 9, z: 21})
    assert b.pow(3) == b**3 == Factors({y: 12, z: 9, t: 30})

    assert a.gcd(b) == Factors({y: 3, z: 3})
    assert a.lcm(b) == Factors({x: 5, y: 4, z: 7, t: 10})

    a = Factors({x: 4, y: 7, t: 7})
    b = Factors({z: 1, t: 3})

    assert a.normal(b) == (Factors({x: 4, y: 7, t: 4}), Factors({z: 1}))