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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 = sympy.symbols("x y z t px py pz", real=True)
values = {x: 1, y: 2, z: 3, t: 4, px: 5 / 15, py: 6 / 15, pz: 7 / 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),
)
beta = vector.MomentumSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(px, py),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(pz),
)
out = vec.boost_beta3(beta)
assert out.x.simplify() == (
-px * py * y
- px * pz * z
- px * t * sympy.sqrt(-(px**2) - py**2 - pz**2 + 1)
- px * t
+ py**2 * x
+ pz**2 * x
- x * sympy.sqrt(-(px**2) - py**2 - pz**2 + 1)
- x
) / (px**2 + py**2 + pz**2 - sympy.sqrt(-(px**2) - py**2 - pz**2 + 1) - 1)
assert out.y.simplify() == (
px**2 * y
- px * py * x
- py * pz * z
- py * t * sympy.sqrt(-(px**2) - py**2 - pz**2 + 1)
- py * t
+ pz**2 * y
- y * sympy.sqrt(-(px**2) - py**2 - pz**2 + 1)
- y
) / (px**2 + py**2 + pz**2 - sympy.sqrt(-(px**2) - py**2 - pz**2 + 1) - 1)
assert out.z.simplify() == (
px**2 * z
- px * pz * x
+ py**2 * z
- py * pz * y
- pz * t * sympy.sqrt(-(px**2) - py**2 - pz**2 + 1)
- pz * t
- z * sympy.sqrt(-(px**2) - py**2 - pz**2 + 1)
- z
) / (px**2 + py**2 + pz**2 - sympy.sqrt(-(px**2) - py**2 - pz**2 + 1) - 1)
assert out.t.simplify() == (px * x + py * y + pz * z + t) / sympy.sqrt(
-(px**2) - py**2 - pz**2 + 1
)
for t1 in (
"xyzt",
"xythetat",
"xyetat",
"rhophizt",
"rhophithetat",
"rhophietat",
"xyztau",
"xythetatau",
"xyetatau",
"rhophiztau",
"rhophithetatau",
"rhophietatau",
):
for t2 in (
"xyz",
"xytheta",
"xyeta",
"rhophiz",
"rhophitheta",
"rhophieta",
):
tvec, tbeta = getattr(vec, "to_" + t1)(), getattr(beta, "to_" + t2)()
out = tvec.boost_beta3(tbeta)
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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