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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, px, py, pz, M = sympy.symbols("x y z t px py pz M", real=True)
values = {x: 1, y: 2, z: 3, t: 4, px: 5, py: 6, pz: 7, M: 15}
def test():
vec = vector.VectorSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(z),
temporal=vector.backends.sympy.TemporalSympyT(t),
)
p4 = vector.MomentumSympy4D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(px, py),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(pz),
temporal=vector.backends.sympy.TemporalSympyT(M),
)
out = vec.boost_p4(p4)
assert out.x.simplify() == (
M**2 * x
+ M * px * t
+ M * x * sympy.sqrt(M**2 - px**2 - py**2 - pz**2)
+ px * py * y
+ px * pz * z
+ px * t * sympy.sqrt(M**2 - px**2 - py**2 - pz**2)
- py**2 * x
- pz**2 * x
) / (M**2 + M * sympy.sqrt(M**2 - px**2 - py**2 - pz**2) - px**2 - py**2 - pz**2)
assert out.y.simplify() == (
M**2 * y
+ M * py * t
+ M * y * sympy.sqrt(M**2 - px**2 - py**2 - pz**2)
- px**2 * y
+ px * py * x
+ py * pz * z
+ py * t * sympy.sqrt(M**2 - px**2 - py**2 - pz**2)
- pz**2 * y
) / (M**2 + M * sympy.sqrt(M**2 - px**2 - py**2 - pz**2) - px**2 - py**2 - pz**2)
assert out.z.simplify() == (
M**2 * z
+ M * pz * t
+ M * z * sympy.sqrt(M**2 - px**2 - py**2 - pz**2)
- px**2 * z
+ px * pz * x
- py**2 * z
+ py * pz * y
+ pz * t * sympy.sqrt(M**2 - px**2 - py**2 - pz**2)
) / (M**2 + M * sympy.sqrt(M**2 - px**2 - py**2 - pz**2) - px**2 - py**2 - pz**2)
assert out.t.simplify() == (M * t + px * x + py * y + pz * z) / sympy.sqrt(
M**2 - px**2 - py**2 - pz**2
)
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",
):
tvec, tp4 = getattr(vec, "to_" + t1)(), getattr(p4, "to_" + t2)()
out = tvec.boost_p4(tp4)
assert out.x.subs(values).evalf() == pytest.approx(3.5537720741941676)
assert out.y.subs(values).evalf() == pytest.approx(5.0645264890330015)
assert out.z.subs(values).evalf() == pytest.approx(6.575280903871835)
assert out.t.subs(values).evalf() == pytest.approx(9.138547120755076)
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