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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, nx, ny, mx, my, z, nz, mz = sympy.symbols("x y nx ny mx my z nz mz", real=True)
values = {x: 0, y: 1, nx: 1, ny: 0, mx: 0.1, my: 0.5, z: 1, nz: 0, mz: 0.9}
def test_planar_sympy():
v1 = vector.VectorSympy2D(azimuthal=vector.backends.sympy.AzimuthalSympyXY(0, 1))
v2 = vector.VectorSympy2D(azimuthal=vector.backends.sympy.AzimuthalSympyXY(1, 0))
v3 = vector.VectorSympy2D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(0.1, 0.5)
)
assert not v1.is_perpendicular(v1).subs(values)
assert not v2.is_perpendicular(v2).subs(values)
assert not v3.is_perpendicular(v3).subs(values)
assert v1.is_perpendicular(v2).subs(values)
assert not v1.is_perpendicular(v3).subs(values)
assert not v2.is_perpendicular(v3).subs(values)
for t1 in "xy", "rhophi":
for t2 in "xy", "rhophi":
tr1, tr2 = (
getattr(v1, "to_" + t1)(),
getattr(v2, "to_" + t2)(),
)
assert tr1.is_perpendicular(tr2).subs(values)
def test_spatial_sympy():
v1 = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(0, 1),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(1),
)
v2 = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(1, 0),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(0),
)
v3 = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(0.1, 0.5),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(0.9),
)
assert not v1.is_perpendicular(v1).subs(values)
assert not v2.is_perpendicular(v2).subs(values)
assert not v3.is_perpendicular(v3).subs(values)
assert v1.is_perpendicular(v2).subs(values)
assert not v1.is_perpendicular(v3).subs(values)
assert not v2.is_perpendicular(v3).subs(values)
for t1 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
for t2 in "xyz", "xytheta", "xyeta", "rhophiz", "rhophitheta", "rhophieta":
tr1, tr2 = (
getattr(v1, "to_" + t1)(),
getattr(v2, "to_" + t2)(),
)
assert tr1.is_perpendicular(tr2).subs(values)
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