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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, t = sympy.symbols("x y z nx ny nz t", 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():
axis = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
)
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(nx, ny),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(nz),
)
out = vec.rotate_axis(axis, 0.25)
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) == pytest.approx(0.374834254043358)
assert out.y.subs(values) == pytest.approx(0.5383405688588193)
assert out.z.subs(values) == pytest.approx(0.5828282027463345)
for t1 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
for t2 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
taxis, tvec = (
getattr(axis, "to_" + t1)(),
getattr(vec, "to_" + t2)(),
)
out = tvec.rotate_axis(taxis, 0.25)
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) == pytest.approx(0.374834254043358)
assert out.y.subs(values) == pytest.approx(0.5383405688588193)
assert out.z.subs(values) == pytest.approx(0.5828282027463345)
def test_lorentz_sympy():
axis = vector.VectorSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
temporal=vector.backends.sympy.TemporalSympyT(t),
)
vec = vector.VectorSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(nx, ny),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(nz),
temporal=vector.backends.sympy.TemporalSympyT(t),
)
with pytest.raises(TypeError):
out = vec.rotate_axis(axis, 0.25)
out = vec.rotate_axis(axis.to_Vector3D(), 0.25)
assert isinstance(out, vector.VectorSympy4D)
assert isinstance(out.azimuthal, vector.backends.sympy.AzimuthalSympyXY)
assert isinstance(out.longitudinal, vector.backends.sympy.LongitudinalSympyZ)
assert hasattr(out, "temporal")
assert out.x.subs(values) == pytest.approx(0.374834254043358)
assert out.y.subs(values) == pytest.approx(0.5383405688588193)
assert out.z.subs(values) == pytest.approx(0.5828282027463345)
for t1 in (
"xyz",
"xytheta",
"xyeta",
"rhophiz",
"rhophitheta",
"rhophieta",
):
for t2 in (
"xyzt",
"xythetat",
"xyetat",
"rhophizt",
"rhophithetat",
"rhophietat",
"xyztau",
"xythetatau",
"xyetatau",
"rhophiztau",
"rhophithetatau",
"rhophietatau",
):
taxis, tvec = (
getattr(axis, "to_" + t1)(),
getattr(vec, "to_" + t2)(),
)
out = tvec.rotate_axis(taxis, 0.25)
assert isinstance(out, vector.VectorSympy4D)
assert isinstance(out.azimuthal, vector.backends.sympy.AzimuthalSympyXY)
assert isinstance(
out.longitudinal, vector.backends.sympy.LongitudinalSympyZ
)
assert hasattr(out, "temporal")
assert out.x.subs(values) == pytest.approx(0.374834254043358)
assert out.y.subs(values) == pytest.approx(0.5383405688588193)
assert out.z.subs(values) == pytest.approx(0.5828282027463345)
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