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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 numpy
import pytest
import vector.backends.numpy
import vector.backends.object
def test_lorentz_object():
v1 = vector.backends.object.MomentumObject4D(
vector.backends.object.AzimuthalObjectXY(1.0, 1.0),
vector.backends.object.LongitudinalObjectZ(1.0),
vector.backends.object.TemporalObjectTau(1.0),
)
v2 = vector.backends.object.MomentumObject4D(
vector.backends.object.AzimuthalObjectXY(-1.0, -1.0),
vector.backends.object.LongitudinalObjectZ(-1.0),
vector.backends.object.TemporalObjectTau(1.0),
)
expected_result = (
# phi
numpy.pi**2
# rapidity
+ ((0.5 * numpy.log(3 / 1) - 0.5 * numpy.log(1 / 3)) ** 2)
)
assert v1.deltaRapidityPhi2(v2) == pytest.approx(expected_result)
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.deltaRapidityPhi2(tr2) == pytest.approx(expected_result)
def test_lorentz_numpy():
v1 = vector.backends.numpy.VectorNumpy4D(
[(1.0, 1.0, 1.0, 1.0)],
dtype=[
("x", numpy.float64),
("y", numpy.float64),
("z", numpy.float64),
("tau", numpy.float64),
],
)
v2 = vector.backends.numpy.VectorNumpy4D(
[(-1.0, -1.0, -1.0, 1.0)],
dtype=[
("x", numpy.float64),
("y", numpy.float64),
("z", numpy.float64),
("tau", numpy.float64),
],
)
expected_result = (
# phi
numpy.pi**2
# rapidity
+ ((0.5 * numpy.log(3 / 1) - 0.5 * numpy.log(1 / 3)) ** 2)
)
assert v1.deltaRapidityPhi2(v2) == pytest.approx(expected_result)
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 numpy.allclose(tr1.deltaRapidityPhi2(tr2), expected_result)
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