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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, rho, phi, eta = sympy.symbols("x y rho phi eta", real=True)
values = {x: 3, y: 4, rho: 5, phi: 0, eta: 1.4436354751788103}
def test_xy_z():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(
sympy.sqrt(x**2 + y**2) * sympy.sinh(eta)
),
)
assert vec.eta.simplify() == sympy.asinh(sympy.sinh(eta))
assert vec.eta.subs(values).evalf() == pytest.approx(1.4436354751788103)
def test_xy_theta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyTheta(
2.0 * sympy.atan(sympy.exp(-eta))
),
)
assert vec.eta.simplify() == -sympy.log(
sympy.tan(1.0 * sympy.atan(sympy.exp(-eta)))
)
assert vec.eta.subs(values).evalf() == pytest.approx(1.4436354751788103)
def test_xy_eta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyEta(eta),
)
assert vec.eta == eta
assert vec.eta.subs(values).evalf() == pytest.approx(1.4436354751788103)
def test_rhophi_z():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(rho, phi),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(rho * sympy.sinh(eta)),
)
assert vec.eta.simplify() == sympy.asinh(sympy.sinh(eta))
assert vec.eta.subs(values).evalf() == pytest.approx(1.4436354751788103)
def test_rhophi_theta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(rho, phi),
longitudinal=vector.backends.sympy.LongitudinalSympyTheta(
2.0 * sympy.atan(sympy.exp(-eta))
),
)
assert vec.eta.simplify() == -sympy.log(
sympy.tan(1.0 * sympy.atan(sympy.exp(-eta)))
)
assert vec.eta.subs(values).evalf() == pytest.approx(1.4436354751788103)
def test_rhophi_eta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(rho, phi),
longitudinal=vector.backends.sympy.LongitudinalSympyEta(eta),
)
assert vec.eta == eta
assert vec.eta.subs(values).evalf() == pytest.approx(1.4436354751788103)
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