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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, nx, ny, nz = sympy.symbols("x y z nx ny nz", real=True)
values = {x: 0.1, y: 0.2, z: 0.3, nx: 0.4, ny: 0.5, nz: 0.6}
def test_spatial_sympy():
v1 = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
)
v2 = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(nx, ny),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(nz),
)
with pytest.raises(TypeError):
out = v1.to_Vector4D().cross(v2)
out = v1.cross(v2)
assert isinstance(out, vector.VectorSympy3D)
assert isinstance(out.azimuthal, vector.backends.sympy.AzimuthalSympyXY)
assert isinstance(out.longitudinal, vector.backends.sympy.LongitudinalSympyZ)
assert (out.x, out.y, out.z) == (
-ny * z + nz * y,
nx * z - nz * x,
-nx * y + ny * x,
)
for t1 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
for t2 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
transformed1, transformed2 = (
getattr(v1, "to_" + t1)(),
getattr(v2, "to_" + t2)(),
)
out = transformed1.cross(transformed2)
assert isinstance(out, vector.VectorSympy3D)
assert isinstance(out.azimuthal, vector.backends.sympy.AzimuthalSympyXY)
assert isinstance(
out.longitudinal, vector.backends.sympy.LongitudinalSympyZ
)
assert (
out.x.subs(values),
out.y.subs(values),
out.z.subs(values),
) == pytest.approx((-0.03, 0.06, -0.03))
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