from sympy import I, Integer, Sum, Symbol

from .context import assert_equal

a = Symbol("a", real=True)
b = Symbol("b", real=True)
i = Symbol("i", real=True)
n = Symbol("n", real=True)
x = Symbol("x", real=True)


def test_complex():
    assert_equal("a+Ib", a + I * b)


def test_complex_e():
    assert_equal("e^{I\\pi}", Integer(-1))


def test_complex_sum():
    assert_equal("\\sum_{i=0}^{n} i \\cdot x", Sum(i * x, (i, 0, n)))
