def test_dimension():
x = Vector(1, 2, 3)
assert x.dimension == 3
y = Vector(1, 2, z=3, x=4, n=5)
assert y.dimension == 5
def test_repr():
x = Vector(1, 2, 3)
assert str(x) == "<1.00, 2.00, 3.00>"
y = Vector(0, 4 + 3j, 7)
assert str(y) == "<0.00, 4.00 + 3.00j, 7.00>"
def test_vector_initialization():
x = Point(1, 2, 3)
x_v = Vector(x)
assert (str(type(x_v))) == "<class 'geometry.base.3D Vector'>"
y = Vector(4, 1, 2, 3)
assert (str(type(y))) == "<class 'geometry.base.4D Vector'>"
def test_angle():
a = Vector(1.0, 0.0, 0.0)
b = Vector(0.0, 1.0, 0.0)
assert np.isclose(vector.angle(a, b), np.deg2rad(90.0))
a = Vector(1.0, 1.0, 0.0)
b = Vector(0.0, 1.0, 0.0)
assert np.isclose(vector.angle(a, b), np.deg2rad(45.0))
def test_vector_key_lookup_set():
x = Vector(x=1, y=2, z=3)
x.x = 4
x.y = 5
x.z = 6
assert x.x == 4
assert x.y == 5
assert x.z == 6
def test_signature():
x = Vector(1, 2, 3)
y = Vector(x=1, y=2, z=3)
assert x.signature != y.signature
z = Vector(4, 5, 6)
w = Vector(x=4, y=5, z=6)
assert x.signature == z.signature
assert y.signature == w.signature
def test_subtract():
x = Vector(1, 2, 3)
y = Vector(2, 4, 6)
z = Vector(3, 4, 5)
w = Vector(2, 1, 0)
assert y - x == x
assert z - 2 == x
assert 5 - z == w
def test_multiplication():
x = Vector(1, 2, 3)
y = Vector(2, 4, 6)
assert x * 2 == 2 * x == y
caught_exception = None
try:
x * y
except TypeError as e:
caught_exception = e
finally:
assert caught_exception is not None
def test_division():
x = Vector(1, 2, 3)
y = Vector(2, 4, 6)
assert y / 2 == x
z = Vector(6, 3, 2)
assert 12 / y == z
caught_exception = None
try:
y / x
except TypeError as e:
caught_exception = e
finally:
assert caught_exception is not None
def test_vector_mixed_addressing():
x = Vector(1, y=2, z=3)
assert x[2] == x.z == 3
x[1] = 4
assert x.y == 4
assert x[0] == 1
def test_vector_indexing_set():
x = Vector(1, 2, 3)
x[0] = 4
x[1] = 5
x[2] = 6
assert x[0] == 4
assert x[1] == 5
assert x[2] == 6
def test_add():
x = Vector(1, 2, 3)
y = Vector(2, 4, 6)
z = Vector(3, 4, 5)
assert x + x == y
assert x + 2 == 2 + x == z
w = Vector(x=1, y=2, z=3)
caught_exception = None
try:
assert x + w == y
except TypeError as e:
caught_exception = e
finally:
assert caught_exception is not None
def test_equality():
x = Vector(1, 2, 3)
y = Vector(1, 2, 3)
q = Vector(4, 5, 6)
z = Vector(x=1, y=2, z=3)
w = Vector(x=1, y=2, z=3)
assert x == y
assert z == w
assert x != q
caught_exception = None
try:
assert x == z
except TypeError as e:
caught_exception = e
finally:
assert caught_exception is not None
def test_cross_product_7d():
a = Vector(1, 2, 3, 4, 5, 6, 7)
b = Vector(8, 9, 10, 11, 12, 13, 14)
assert vector.inner(a, vector.cross(a, b)) == 0.0
assert vector.inner(vector.cross(a, b), b) == 0.0
assert round(vector.cross(a, b).norm()**2, 8) == round(
(a.norm()**2) * (b.norm()**2) - vector.inner(a, b)**2, 8)
assert vector.cross(a, b) == vector.cross(-b, a)
def test_cross_product():
a = Vector(1.0, 2.0, 3.0)
b = Vector(4.0, 5.0, 6.0)
c = Vector(-3.0, 6.0, -3.0)
assert vector.cross(a, b) == c
assert vector.cross(b, a) != c
assert vector.inner(a, vector.cross(a, b)) == 0.0
assert vector.inner(vector.cross(a, b), b) == 0.0
assert vector.cross(
a,
b).norm()**2 == (a.norm()**2) * (b.norm()**2) - vector.inner(a, b)**2
assert vector.cross(a, b) == vector.cross(-b, a)
def test_norm():
a = Vector(3, 4)
assert round(a.norm(), 8) == 5.00
def test_vector_indexing_get():
x = Vector(1, 2, 3)
assert x[0] == 1
assert x[1] == 2
assert x[2] == 3
def test_invert():
x = Vector(2, 3, 4)
y = Vector(.5, 1.0 / 3.0, .25)
assert ~x == y
def test_inner_product():
a = Vector(1, 1, 1)
b = Vector(-3, -3, -3)
assert vector.inner(a, b) == -9.0
def test_vector_key_lookup_get():
x = Vector(x=1, y=2, z=3)
assert x.x == 1
assert x.y == 2
assert x.z == 3
def test_negative():
x = Vector(1, 2, 3)
y = Vector(-1, -2, -3)
assert -x == y
def test_unit_vector():
a = Vector(3, 4)
b = Vector(3.0 / 5.0, 4.0 / 5.0)
assert a.unit() == b
def test_hash():
x = Vector(1, 2, 3)
y = Vector(1, 2, 3)
w = Vector(3, 4, 5, 6)
z = Vector(x=1, y=2, z=3)
assert x.__hash__() == y.__hash__()
assert x.__hash__() != z.__hash__()
assert x.__hash__() != w.__hash__()