def test_constant(self):
"""Test the parameter class.
"""
x = Constant(2)
y = Constant(2j+1)
z = Constant(2j)
assert not x.is_complex()
assert not x.is_imag()
assert y.is_complex()
assert not y.is_imag()
assert z.is_complex()
assert z.is_imag()
def test_conj(self):
"""Test imag.
"""
A = np.ones((2, 2))
expr = Constant(A) + 1j*Constant(A)
expr = cvx.conj(expr)
assert not expr.is_real()
assert expr.is_complex()
assert not expr.is_imag()
self.assertItemsAlmostEqual(expr.value, A - 1j*A)
def test_imag(self) -> None:
"""Test imag.
"""
A = np.ones((2, 2))
expr = Constant(A) + 2j*Constant(A)
expr = cvx.imag(expr)
assert expr.is_real()
assert not expr.is_complex()
assert not expr.is_imag()
self.assertItemsAlmostEqual(expr.value, 2*A)
def test_real(self):
"""Test real.
"""
A = np.ones((2, 2))
expr = Constant(A) + 1j*Constant(A)
expr = cvx.real(expr)
assert expr.is_real()
assert not expr.is_complex()
assert not expr.is_imag()
self.assertItemsAlmostEqual(expr.value, A)
x = Variable(complex=True)
expr = cvx.imag(x) + cvx.real(x)
assert expr.is_real()
