test_dyadic.py 文件源码

def test_dyadic_simplify():
    x, y, z, k, n, m, w, f, s, A = symbols('x, y, z, k, n, m, w, f, s, A')
    N = ReferenceFrame('N')

    dy = N.x | N.x
    test1 = (1 / x + 1 / y) * dy
    assert (N.x & test1 & N.x) != (x + y) / (x * y)
    test1 = test1.simplify()
    assert (N.x & test1 & N.x) == (x + y) / (x * y)

    test2 = (A**2 * s**4 / (4 * pi * k * m**3)) * dy
    test2 = test2.simplify()
    assert (N.x & test2 & N.x) == (A**2 * s**4 / (4 * pi * k * m**3))

    test3 = ((4 + 4 * x - 2 * (2 + 2 * x)) / (2 + 2 * x)) * dy
    test3 = test3.simplify()
    assert (N.x & test3 & N.x) == 0

    test4 = ((-4 * x * y**2 - 2 * y**3 - 2 * x**2 * y) / (x + y)**2) * dy
    test4 = test4.simplify()
    assert (N.x & test4 & N.x) == -2 * y