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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, z = sympy.symbols("x y z", real=True)
values = {x: 0.5, y: 0.6, z: 0.7}
def test_spatial_sympy():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
)
out = vec.rotate_quaternion(0.1, 0.2, 0.3, 0.4)
assert isinstance(out, vector.VectorSympy3D)
assert isinstance(out.azimuthal, vector.backends.sympy.AzimuthalSympyXY)
assert isinstance(out.longitudinal, vector.backends.sympy.LongitudinalSympyZ)
# cannot equate the sympy expressions because of floating point errors
assert out.x.subs(values) == pytest.approx(0.078)
assert out.y.subs(values) == pytest.approx(0.18)
assert out.z.subs(values) == pytest.approx(0.246)
for t in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
tvec = getattr(vec, "to_" + t)()
out = tvec.rotate_quaternion(0.1, 0.2, 0.3, 0.4)
assert isinstance(out, vector.VectorSympy3D)
assert isinstance(out.azimuthal, vector.backends.sympy.AzimuthalSympyXY)
assert isinstance(out.longitudinal, vector.backends.sympy.LongitudinalSympyZ)
# cannot equate the sympy expressions because of floating point errors
assert out.x.subs(values) == pytest.approx(0.078)
assert out.y.subs(values) == pytest.approx(0.18)
assert out.z.subs(values) == pytest.approx(0.246)
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