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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, t, nx, ny, nz, nt = sympy.symbols("x y z t nx ny nz nt", real=True)
values = {x: 1, y: 2, z: 3, t: 10, nx: 5, ny: 6, nz: 7, nt: 20}
def test_planar_object():
v1 = vector.VectorSympy2D(azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y))
v2 = vector.VectorSympy2D(azimuthal=vector.backends.sympy.AzimuthalSympyXY(nx, ny))
assert v1.dot(v2) == nx * x + ny * y
for t1 in "xy", "rhophi":
for t2 in "xy", "rhophi":
transformed1, transformed2 = (
getattr(v1, "to_" + t1)(),
getattr(v2, "to_" + t2)(),
)
assert transformed1.dot(transformed2).subs(values).evalf() == pytest.approx(
17
)
def test_spatial_object():
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),
)
assert v1.dot(v2) == nx * x + ny * y + nz * z
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)(),
)
assert transformed1.dot(transformed2).subs(values).evalf() == pytest.approx(
38
)
def test_lorentz_object():
v1 = vector.VectorSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
temporal=vector.backends.sympy.TemporalSympyT(t),
)
v2 = vector.VectorSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(nx, ny),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(nz),
temporal=vector.backends.sympy.TemporalSympyT(nt),
)
assert v1.dot(v2) == nt * t - nx * x - ny * y - nz * z
for t1 in (
"xyzt",
"xythetat",
"xyetat",
"rhophizt",
"rhophithetat",
"rhophietat",
"xyztau",
"xythetatau",
"xyetatau",
"rhophiztau",
"rhophithetatau",
"rhophietatau",
):
for t2 in (
"xyzt",
"xythetat",
"xyetat",
"rhophizt",
"rhophithetat",
"rhophietat",
"xyztau",
"xythetatau",
"xyetatau",
"rhophiztau",
"rhophithetatau",
"rhophietatau",
):
tr1, tr2 = getattr(v1, "to_" + t1)(), getattr(v2, "to_" + t2)()
assert tr1.dot(tr2).subs(values).evalf() == pytest.approx(162)
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