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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, time = sympy.symbols("x y z time")
values = {x: 1, y: 2, z: 3, time: 10}
def test_planar_sympy():
v = vector.VectorSympy2D(azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y))
u = v.unit()
assert type(u) is type(v)
assert type(u.azimuthal) is type(v.azimuthal)
assert u.rho.simplify() == 1
for t1 in "xy", "rhophi":
t = getattr(v, "to_" + t1)()
u = t.unit()
assert type(u) is type(t)
assert type(u.azimuthal) is type(t.azimuthal)
assert (
u.rho == 1 if isinstance(u.rho, int) else u.rho.subs(values).evalf() == 1.0
)
def test_spatial_sympy():
v = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
)
u = v.unit()
assert type(u) is type(v)
assert type(u.azimuthal) is type(v.azimuthal)
assert type(u.longitudinal) is type(v.longitudinal)
assert u.mag.simplify() == 1
for t1 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
t = getattr(v, "to_" + t1)()
u = t.unit()
assert type(u) is type(t)
assert type(u.azimuthal) is type(t.azimuthal)
assert type(u.longitudinal) is type(t.longitudinal)
assert u.mag.subs(values).evalf() == 1.0
def test_lorentz_sympy():
v = vector.VectorSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
temporal=vector.backends.sympy.TemporalSympyT(time),
)
u = v.unit()
assert type(u) is type(v)
assert type(u.azimuthal) is type(v.azimuthal)
assert type(u.longitudinal) is type(v.longitudinal)
assert type(u.temporal) is type(v.temporal)
assert u.tau.simplify() == sympy.sqrt(
sympy.Abs(
(-(time**2) + x**2 + y**2 + z**2)
/ sympy.Abs(-(time**2) + x**2 + y**2 + z**2)
)
)
for t1 in (
"xyzt",
"xythetat",
"xyetat",
"rhophizt",
"rhophithetat",
"rhophietat",
"xyztau",
"xythetatau",
"xyetatau",
"rhophiztau",
"rhophithetatau",
"rhophietatau",
):
t = getattr(v, "to_" + t1)()
u = t.unit()
assert type(u) is type(t)
assert type(u.azimuthal) is type(t.azimuthal)
assert type(u.longitudinal) is type(t.longitudinal)
assert type(u.temporal) is type(t.temporal)
assert (
u.tau == 1 if isinstance(u.tau, int) else u.tau.subs(values).evalf() == 1.0
)
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