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# Copyright (c) 2019-2025, Saransh Chopra, Henry Schreiner, Eduardo Rodrigues, Jonas Eschle, and Jim Pivarski.
#
# Distributed under the 3-clause BSD license, see accompanying file LICENSE
# or https://github.com/scikit-hep/vector for details.
from __future__ import annotations
import pytest
import vector
sympy = pytest.importorskip("sympy")
pytestmark = pytest.mark.sympy
x, y = sympy.symbols("x y")
values = {x: 3, y: 4}
def test_xy():
vec = vector.VectorSympy2D(azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y))
assert vec.rho2 == x**2 + y**2
assert vec.rho2.subs(values) == pytest.approx(25)
def test_rhophi():
vec = vector.VectorSympy2D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(
sympy.sqrt(x**2 + y**2), sympy.atan2(y, x)
)
)
assert vec.rho2 == x**2 + y**2
assert vec.rho2.subs(values) == pytest.approx(25)
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