test_sqrtdenest.py 文件源码

def test_sqrt_symbolic_denest():
    x = Symbol('x')
    z = sqrt(((1 + sqrt(sqrt(2 + x) + 3))**2).expand())
    assert sqrtdenest(z) == sqrt((1 + sqrt(sqrt(2 + x) + 3))**2)
    z = sqrt(((1 + sqrt(sqrt(2 + cos(1)) + 3))**2).expand())
    assert sqrtdenest(z) == 1 + sqrt(sqrt(2 + cos(1)) + 3)
    z = ((1 + cos(2))**4 + 1).expand()
    assert sqrtdenest(z) == z
    z = sqrt(((1 + sqrt(sqrt(2 + cos(3*x)) + 3))**2 + 1).expand())
    assert sqrtdenest(z) == z
    c = cos(3)
    c2 = c**2
    assert sqrtdenest(sqrt(2*sqrt(1 + r3)*c + c2 + 1 + r3*c2)) == \
        -1 - sqrt(1 + r3)*c
    ra = sqrt(1 + r3)
    z = sqrt(20*ra*sqrt(3 + 3*r3) + 12*r3*ra*sqrt(3 + 3*r3) + 64*r3 + 112)
    assert sqrtdenest(z) == z