def test_p2_add():
assert P2(1, 1) == P2(0, 0) + V2(1, 1)
assert P2(1, 1) == V2(1, 1) + P2(0, 0)
with pytest.raises(TypeError):
P2(0, 0) + P2(1, 1)
def test_qv2_div():
qv2 = make(V2(11, 21), si.meters)
div_value = qv2 / 2
assert V2(5.5, 10.5).approx(div_value.get_as(si.meters))
qv2 /= 2
assert V2(5.5, 10.5).approx(qv2.get_as(si.meters))
def test_floordiv():
v1 = V2(1, 2)
assert V2(0, 1).approx(v1 // 2)
v1 //= 2
assert V2(0, 1).approx(v1)
with pytest.raises(TypeError):
v1 // None
def test_div():
v1 = V2(1, 2)
assert V2(0.5, 1).approx(v1 / 2)
v1 /= -2
assert V2(-0.5, -1).approx(v1)
with pytest.raises(TypeError):
v1 / None
def test_v2_eq():
assert V2(1, 1) == V2(1, 1)
assert not V2(1, 1) == V2(0, 0)
assert not None == V2(1, 1)
assert V2(0.9999999, 0.9999999).approx(V2(1, 1))
assert not V2(0.9, 0.9).approx(V2(1, 1))
with pytest.raises(TypeError):
V2(1, 1).approx(None)
def test_v2_mul():
v1 = V2(1, 2)
assert V2(2, 4).approx(v1 * 2)
assert V2(2, 4).approx(2 * v1)
v1 *= -3
assert V2(-3, -6).approx(v1)
with pytest.raises(TypeError):
v1 * None
def test_qv2_unit():
qv2 = make(V2(100, 0), si.meters)
assert make(V2(1, 0), si.unity) == qv2.unit()
qv2 = qv2.cvt_to(si.millimeters)
assert make(V2(1, 0), si.unity) == qv2.unit()
assert qv2 == abs(qv2) * qv2.unit()
def test_qv2_mul():
qv2 = make(V2(3, 4), si.meters)
mul_value = qv2 * 2
assert V2(6, 8).approx(mul_value.get_as(si.meters))
mul_value = 2 * qv2
assert V2(6, 8).approx(mul_value.get_as(si.meters))
qv2 *= 2
assert V2(6, 8).approx(qv2.get_as(si.meters))
def test_create():
xyz = make(V3(1, 2, 3), si.meters)
assert V3(1, 2, 3) * si.meters == xyz
assert V3(1, 2, 3) == xyz.get_as(si.meters)
assert V3(1000, 2000, 3000) == xyz.get_as(si.millimeters)
assert V2(1, 2) * si.meters == xyz.xy()
assert V2(2, 3) * si.meters == xyz.yz()
assert V2(1, 3) * si.meters == xyz.xz()
def test_v2_dot_product():
v1 = V2(1, 0)
v2 = V2(0, 1)
assert v1.dot(v2) == pytest.approx(0)
assert v1.dot(v1) == pytest.approx(1)
assert v2.dot(v2) == pytest.approx(1)
v3 = V2(1, 1)
assert v3.dot(v3) == pytest.approx(2)
v4 = V2(-2, -2)
assert v4.dot(v4) == pytest.approx(8)
def test_qv2_rotate():
vector = V2(1, 0)
qv2 = make(vector, si.meters)
qv2 = qv2.rotate(eta * si.radians)
assert make(V2(0, 1), si.meters).approx(qv2)
qv2 = qv2.rotate(eta * si.radians)
assert make(V2(-1, 0), si.meters).approx(qv2)
qv2 = qv2.rotate(eta * si.radians)
assert make(V2(0, -1), si.meters).approx(qv2)
def test_v2_sub():
v1 = V2(100, 100)
v2 = V2(25, 50)
v3 = V2(0, 0)
assert V2(75, 50).approx(v1 - v2)
assert v2.approx(v2 - v3)
v3 -= v1
assert V2(-100, -100).approx(v3)
with pytest.raises(TypeError):
v3 - None
def test_cross_product():
v1 = V2(1, 0)
v2 = V2(0, 1)
assert v1.cross(v2) == pytest.approx(1)
assert v2.cross(v1) == pytest.approx(-1)
assert v1.cross(v1) == pytest.approx(0)
assert v2.cross(v2) == pytest.approx(0)
v3 = V2(1, 1)
assert v3.cross(v1) == pytest.approx(-1)
assert v1.cross(v3) == pytest.approx(1)
assert v3.cross(v2) == pytest.approx(1)
assert v2.cross(v3) == pytest.approx(-1)
def test_rotate():
v1 = V2(1, 0)
v1 = v1.rotate(eta)
assert V2(0, 1).approx(v1)
v1 = v1.rotate(eta)
assert V2(-1, 0).approx(v1)
v1 = v1.rotate(eta)
assert V2(0, -1).approx(v1)
v1 = v1.rotate(eta)
assert V2(1, 0).approx(v1)
def test_qv2_angle():
qv_x = make(V2(1, 0), si.meters)
qv_y = make(V2(0, 1), si.meters)
qv_xy = make(V2(1, 1), si.meters)
assert pytest.approx(eta) == qv_x.angle(qv_y).get_as(si.radians)
assert pytest.approx(eta / 2) == qv_x.angle(qv_xy).get_as(si.radians)
assert pytest.approx(eta / 2) == qv_y.angle(qv_xy).get_as(si.radians)
assert pytest.approx(eta) == qv_x.angle(V2(0, 1)).get_as(si.radians)
with pytest.raises(TypeError):
V2(0, 1).angle(qv_x)
def test_qv2_create():
vector = V2(1, 0)
vector_q = make(vector, si.meters)
assert vector == vector_q.get_as(si.meters)
assert V2(1000, 0) == vector_q.get_as(si.millimeters)
vector_q = vector * si.meters
assert vector == vector_q.get_as(si.meters)
vector_q = si.meters * vector
assert vector == vector_q.get_as(si.meters)
def test_approx_set_contains():
pset = ApproxSet({P2(0, 0), P2(1, 1), P2(3, 3)})
assert P2(0, 0) in pset
assert P2(0.0, 0.0) in pset
assert P2(0.0000001, 0.0000001) in pset
assert P2(0.1, 0.1) not in pset
assert P2(-1, -1) not in pset
assert P2(10, 10) not in pset
with pytest.raises(TypeError):
ApproxSet({V2(0, 0), V2(1, 1)})
def test_v2_iter():
it = iter(V2(1, 2))
assert 1 == next(it)
assert 2 == next(it)
with pytest.raises(StopIteration):
next(it)
def test_qv2_is_parallel():
qv2 = make(V2(1, 1), si.meters)
assert qv2.is_parallel(make(V2(2, 2), si.meters))
assert qv2.is_parallel(make(V2(-1, -1), si.meters))
assert not qv2.is_parallel(make(V2(1, 0), si.meters))
assert not qv2.is_parallel(make(V2(0, 1), si.meters))
assert qv2.is_parallel(V2(2, 2))
assert qv2.is_parallel(V2(-1, -1))
assert not qv2.is_parallel(V2(1, 0))
assert not qv2.is_parallel(V2(0, 1))
with pytest.raises(TypeError):
V2(1, 1).is_parallel(qv2)
def test_line_contains_point():
line = Line(1, 1, 0)
assert line.contains(P2(0, 0))
assert line.contains(P2(-1, 1))
assert line.contains(P2(1, -1))
assert not line.contains(P2(0, 1))
assert not line.contains(V2(0, 0))
def test_translate():
line = Line(2, 1, 2)
assert line.y(0) == pytest.approx(2)
assert line.x(0) == pytest.approx(1)
translated = line.translate(V2(1, 1))
assert translated.y(0) == pytest.approx(3)
assert translated.x(0) == pytest.approx(2)
horz = Line.ByPoints(P2(-1, 10), P2(1, 10))
assert horz.y(0) == pytest.approx(10)
translated = horz.translate(V2(1, 1))
assert translated.y(0) == pytest.approx(11)
vert = Line.ByPoints(P2(10, -1), P2(10, 1))
assert vert.x(0) == pytest.approx(10)
translated = vert.translate(V2(1, 1))
assert translated.x(0) == pytest.approx(11)
def test_p2_ordering():
assert P2(0, 0) < P2(1, 1)
assert P2(0, 0) < P2(1, 0)
assert P2(0, 0) < P2(1, -1)
assert P2(0, 0) > P2(0, -1)
with pytest.raises(TypeError):
P2(0, 0) >= V2(0, 0)
with pytest.raises(TypeError):
P2(0, 0) > None
def test_contains(circle_00, circle_11):
assert circle_00.contains(P2(0, 0))
assert circle_11.contains(P2(0, 0))
assert circle_00.contains(P2(-100, 0))
assert circle_00.contains(P2(100, 0))
assert circle_00.contains(P2(0, 100))
assert circle_00.contains(P2(0, -100))
assert not circle_00.contains(None)
assert not circle_00.contains(P2(150, 0))
assert not circle_00.contains(P2(0, 150))
assert not circle_11.contains(V2(0, 0))
def test_qv2_is_orthogonal():
qv2 = make(V2(1, 1), si.meters)
assert qv2.is_orthogonal(make(V2(-1, 1), si.meters))
assert qv2.is_orthogonal(V2(-1, 1))
assert not qv2.is_orthogonal(make(V2(1, 0), si.meters))
assert not qv2.is_orthogonal(V2(1, 0))
with pytest.raises(TypeError):
V2(1, 0).is_orthogonal(qv2)
def test_line_segment_contains():
ls = LineSegment(P2(-10, -10), P2(10, 10))
assert ls.contains(P2(0, 0))
assert ls.contains(P2(5, 5))
assert ls.contains(P2(-10, -10))
assert ls.contains(P2(10, 10))
assert not ls.contains(P2(-11, -11))
assert not ls.contains(P2(11, 11))
assert not ls.contains(P2(1, 0))
with pytest.raises(TypeError):
ls.contains(V2(10, 10))
ls = LineSegment(P2(0, 0), P2(9999999999.9, 9999999999.9))
assert ls.contains(P2(0, 0))
assert ls.contains(P2(9999999999.9, 9999999999.9))
assert not ls.contains(P2(9999999999.99, 9999999999.99))
def test_add():
v1 = V2(0, 0)
v2 = V2(1, 0)
v3 = V2(0, 1)
assert V2(1, 1).approx(v1 + v2 + v3)
v1 += v2
assert V2(1, 0).approx(v1)
v1 += v3
assert V2(1, 1).approx(v1)
with pytest.raises(TypeError):
v1 + None
def test_approx():
assert approx(P2(0, 0), P2(0.0, 0.0))
assert approx(P2(0.0000001, 0.0000001), P2(0, 0))
assert not approx(P2(0, 0), V2(0, 0))
def test_qv2_dot_product():
qv2 = make(V2(3, 4), si.meters)
dot_product = qv2.dot(qv2)
assert not isinstance(dot_product, V2Quantity)
assert 25 == dot_product.get_as(si.meters**2)
def test_qv2_cross_product():
qv2 = make(V2(1, 1), si.meters)
cross_product = qv2.cross(qv2)
assert not isinstance(cross_product, V2Quantity)
assert 0 == cross_product.get_as(si.meters**2)
def test_qv2_magnitude():
qv2 = make(V2(3, 4), si.meters)
assert 5 == qv2.magnitude().get_as(si.meters)