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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
v1 = vector.obj(x=1, y=5)
a1 = vector.array({"x": [1, 2, 3, 4], "y": [5, 6, 7, 8]})
v2 = vector.obj(x=10, y=20)
a2 = vector.array({"x": [10, 100, 1000, 10000], "y": [20, 200, 2000, 20000]})
def test_eq():
assert v1 == v1
assert not v1 == v2
assert (a1 == a1).all()
assert not (a1 == a2).any()
assert (v1 == a1).any()
assert not (v1 == a1).all()
assert (a1 == v1).any()
assert not (a1 == v1).all()
with pytest.raises(TypeError):
v1.equal(v2.to_Vector3D())
with pytest.raises(TypeError):
a1.equal(a2.to_Vector3D())
def test_ne():
assert not v1 != v1
assert v1 != v2
assert not (a1 != a1).any()
assert (a1 != a2).all()
assert (v1 != a1).any()
assert not (v1 != a1).all()
assert (a1 != v1).any()
assert not (a1 != v1).all()
with pytest.raises(TypeError):
v1.not_equal(v2.to_Vector3D())
with pytest.raises(TypeError):
a1.not_equal(a2.to_Vector3D())
def test_abs():
assert abs(v1) == pytest.approx(numpy.sqrt(1**2 + 5**2))
assert numpy.allclose(
abs(a1),
numpy.sqrt(numpy.array([1, 2, 3, 4]) ** 2 + numpy.array([5, 6, 7, 8]) ** 2),
)
def test_add():
assert v1 + v2 == vector.obj(x=11, y=25)
assert v1 + v2.to_Vector3D().like(v1) == vector.obj(x=11, y=25)
assert numpy.allclose(
a1 + a2,
vector.array({"x": [11, 102, 1003, 10004], "y": [25, 206, 2007, 20008]}),
)
assert numpy.allclose(
a1 + a2.to_Vector3D().like(a1),
vector.array({"x": [11, 102, 1003, 10004], "y": [25, 206, 2007, 20008]}),
)
assert numpy.allclose(
v1 + a2,
vector.array({"x": [11, 101, 1001, 10001], "y": [25, 205, 2005, 20005]}),
)
assert numpy.allclose(
a2 + v1,
vector.array({"x": [11, 101, 1001, 10001], "y": [25, 205, 2005, 20005]}),
)
with pytest.raises(TypeError):
v1 + 5
with pytest.raises(TypeError):
5 + v1
with pytest.raises(TypeError):
v1 + v2.to_Vector3D()
with pytest.raises(TypeError):
a1 + a2.to_Vector3D()
def test_sub():
assert v1 - v2 == vector.obj(x=-9, y=-15)
assert numpy.allclose(
a1 - a2,
vector.array({"x": [-9, -98, -997, -9996], "y": [-15, -194, -1993, -19992]}),
)
assert numpy.allclose(
v1 - a2,
vector.array({"x": [-9, -99, -999, -9999], "y": [-15, -195, -1995, -19995]}),
)
assert numpy.allclose(
a2 - v1,
vector.array({"x": [9, 99, 999, 9999], "y": [15, 195, 1995, 19995]}),
)
with pytest.raises(TypeError):
v1 - 5
with pytest.raises(TypeError):
5 - v1
with pytest.raises(TypeError):
v1 - v2.to_Vector3D()
with pytest.raises(TypeError):
a1 - a2.to_Vector3D()
def test_mul():
assert v1 * 10 == vector.obj(x=10, y=50)
assert 10 * v1 == vector.obj(x=10, y=50)
assert numpy.allclose(
a1 * 10, vector.array({"x": [10, 20, 30, 40], "y": [50, 60, 70, 80]})
)
assert numpy.allclose(
10 * a1, vector.array({"x": [10, 20, 30, 40], "y": [50, 60, 70, 80]})
)
with pytest.raises(TypeError):
v1 * v2
with pytest.raises(TypeError):
a1 * a2
def test_neg():
assert -v1 == vector.obj(x=-1, y=-5)
assert numpy.allclose(
-a1, vector.array({"x": [-1, -2, -3, -4], "y": [-5, -6, -7, -8]})
)
def test_pos():
assert +v1 == vector.obj(x=1, y=5)
assert numpy.allclose(+a1, vector.array({"x": [1, 2, 3, 4], "y": [5, 6, 7, 8]}))
def test_truediv():
assert v1 / 10 == vector.obj(x=0.1, y=0.5)
with pytest.raises(TypeError):
10 / v1
assert numpy.allclose(
a1 / 10, vector.array({"x": [0.1, 0.2, 0.3, 0.4], "y": [0.5, 0.6, 0.7, 0.8]})
)
with pytest.raises(TypeError):
10 / a1
with pytest.raises(TypeError):
v1 / v2
with pytest.raises(TypeError):
a1 / a2
def test_pow():
assert v1**2 == pytest.approx(1**2 + 5**2)
with pytest.raises(TypeError):
2**v1
assert numpy.allclose(
a1**2,
numpy.array([1**2 + 5**2, 2**2 + 6**2, 3**2 + 7**2, 4**2 + 8**2]),
)
with pytest.raises(TypeError):
2**a1
with pytest.raises(TypeError):
v1**v2
with pytest.raises(TypeError):
a1**a2
def test_matmul():
assert v1 @ v2 == pytest.approx(1 * 10 + 5 * 20)
assert v2 @ v1 == pytest.approx(1 * 10 + 5 * 20)
assert numpy.allclose(
a1 @ a2,
numpy.array(
[
1 * 10 + 5 * 20,
2 * 100 + 6 * 200,
3 * 1000 + 7 * 2000,
4 * 10000 + 8 * 20000,
]
),
)
assert numpy.allclose(
a2 @ a1,
numpy.array(
[
1 * 10 + 5 * 20,
2 * 100 + 6 * 200,
3 * 1000 + 7 * 2000,
4 * 10000 + 8 * 20000,
]
),
)
assert numpy.allclose(
v1 @ a2,
numpy.array(
[
1 * 10 + 5 * 20,
1 * 100 + 5 * 200,
1 * 1000 + 5 * 2000,
1 * 10000 + 5 * 20000,
]
),
)
assert numpy.allclose(
a2 @ v1,
numpy.array(
[
1 * 10 + 5 * 20,
1 * 100 + 5 * 200,
1 * 1000 + 5 * 2000,
1 * 10000 + 5 * 20000,
]
),
)
with pytest.raises(TypeError):
v1 @ 5
with pytest.raises(TypeError):
a1 @ 5
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