def test_base(self):
points = [(0,0), (0,5),(1,8),(3,9),(5,8), (7,5), (6,0),(0,0)]
motions = self.__class__.to_translation(list(Point.new(xy) for xy in points))
# -- when --
arranger = CurveArranger()
arranged_motions = arranger.arrange(motions)
assert (any(isinstance(t, Rotation) for t in arranged_motions))
on_the_spot_positions = get_on_the_spot_indices(arranged_motions)
simple_rotation_positions = get_simple_rotations_indices(arranged_motions)
assert on_the_spot_positions == [4, 9]
assert simple_rotation_positions == [2,7]
def test_find_find_angle_and_chord_vector(self):
angle, u, distance = Arc.find_angle_and_chord_vector(
Point(-1, 0), Point(1, 0), Point(0, 1))
assert angle == math.pi
def _get_length(self):
return Point.distance(self.start, self.end)
def test_intersection_of_parallel_lines():
line_a = Line(point=Point(0, 1), vector=Point(0, 1))
line_b = Line(point=Point(1, 1), vector=Point(0, 1))
with pytest.raises(ValueError):
line_a.intersection(line_b)
def test_intersection():
line_a = Line(point=Point(0, 0), vector=Point(1, 0))
line_b = Line(point=Point(0, 0), vector=Point(0, 1))
assert line_a.intersection(line_b) == Point(0, 0)
def test_move_creation(self):
m = Translation(Point.new((0, 0)), Point.new((1, 1)))
assert m.start == Point.new((0, 0))
assert m.end == Point.new((1, 1))
assert m.length == math.sqrt(2)
assert m.vector == Point(math.sqrt(1 / 2), math.sqrt(1 / 2))
def test_rotate_from_axe_with_null():
# when
vector = Point(0, 0)
reference = NORTH_WEST
assert Geometry.transpose_rotation_relative_to(vector, reference) == vector
import pytest
from ex02.geometry import Point, Geometry
NORTH = Point(0, 1)
SOUTH = Point(0, -1)
WEST = Point(-1, 0)
EAST = Point(1, 0)
NORTH_EAST = (NORTH + EAST).normalize()
NORTH_WEST = (NORTH + WEST).normalize()
SOUTH_EAST = (SOUTH + EAST).normalize()
SOUTH_WEST = (SOUTH + WEST).normalize()
@pytest.mark.parametrize("vector, reference, expected", [
(NORTH, EAST, NORTH),
(NORTH, NORTH, EAST),
(WEST, NORTH, NORTH),
(EAST, NORTH, SOUTH),
(SOUTH, NORTH, WEST),
(NORTH, SOUTH, WEST),
(WEST, SOUTH, SOUTH),
(EAST, SOUTH, NORTH),
(SOUTH, SOUTH, EAST),
(NORTH * 2, EAST, NORTH * 2),
(NORTH * -5, NORTH, EAST * -5),
(NORTH, NORTH_EAST, NORTH_EAST),
(NORTH, SOUTH_WEST, SOUTH_WEST),
])
def test_rotate_from_axe(vector, reference, expected):
assert Geometry.transpose_rotation_relative_to(vector, reference) == expected
def rotate_from_center(c, p, phi):
radius = Point.distance(c, p)
x = radius * math.cos(phi)
y = radius * math.sin(phi)
rotated = Point(x, y) + c
return rotated
def test_equal_float_int(self):
a = Point(4, 1)
b = Point(4.0, 1.0)
assert a == b
def test_equal(self):
a = Point(0.5, 0.5)
b = Point(0.5 * (1 + 1e-10), 0.5)
assert a == b
class TestGeometry:
@pytest.mark.parametrize("vector, reference, expected", [
(NORTH, EAST, NORTH),
(NORTH, NORTH, EAST),
(WEST, NORTH, NORTH),
(EAST, NORTH, SOUTH),
(SOUTH, NORTH, WEST),
(NORTH, SOUTH, WEST),
(WEST, SOUTH, SOUTH),
(EAST, SOUTH, NORTH),
(SOUTH, SOUTH, EAST),
(NORTH * 2, EAST, NORTH * 2),
(NORTH * -5, NORTH, EAST * -5),
(NORTH, NORTH_EAST, NORTH_EAST),
(NORTH, SOUTH_WEST, SOUTH_WEST),
])
def test_rotate_from_axe(self, vector, reference, expected):
assert Geometry.transpose_rotation_relative_to(vector,
reference) == expected
# Reverse
assert Geometry.transpose_rotation_relative_to(
expected, Point(reference.x, -reference.y)) == vector
def test_rotate_from_axe_with_null(self):
# when
vector = Point(0, 0)
reference = NORTH_WEST
assert Geometry.transpose_rotation_relative_to(vector,
reference) == vector
def test_rotate_from_axe_with_reference_null(self):
# when
vector = NORTH
reference = Point(0, 0)
with pytest.raises(ZeroDivisionError):
Geometry.transpose_rotation_relative_to(vector, reference)
@pytest.mark.parametrize("vector, axe, expected", [
(NORTH, EAST, SOUTH),
(NORTH, NORTH, NORTH),
(NORTH, NORTH_EAST, EAST),
(NORTH, SOUTH_WEST, EAST),
(NORTH_EAST, NORTH, NORTH_WEST),
(NORTH_EAST * 2.3, NORTH, NORTH_WEST * 2.3),
])
def test_geometry_get_symmetrical(self, vector, axe, expected):
assert expected == Geometry.get_symmetrical(vector, axe)
@pytest.mark.parametrize("params", [
{
"line0": Line(point=Point(0, 1), vector=Point(0, 1)),
"line1": Line(point=Point(3, 5), vector=Point(1, 0)),
"intersection": Point(0, 2)
},
{
"line0": Line(point=Point(0, 1), vector=Point(0, 1)),
"line1": Line(point=Point(5, 3), vector=Point(1, 0)),
"intersection": Point(0, -2)
},
])
def test_get_tangent_point_from_lines(self, params):
line0 = params['line0']
line1 = params['line1']
intersection = params['intersection']
assert Geometry.get_tangent_point_from_lines(line0,
line1) == intersection
@pytest.mark.parametrize("params", [{
'point': Point(1, 0),
'vector': Point(1, 0),
'candidate': Point(3, 0),
'expected': True
}, {
'point': Point(1, 0),
'vector': Point(1, 0),
'candidate': Point(-3, 0),
'expected': False
}, {
'point': Point(1, 0),
'vector': Point(1, 0),
'candidate': Point(1, 1),
'expected': False
}])
def test_is_beyond(self, params):
point = params['point']
vector = params['vector']
candidate = params['candidate']
expected = params['expected']
assert Geometry.is_beyond_point(candidate, point, vector) == expected
def test_compute_center_from_both_tangents_impossible(self):
with pytest.raises(AssertionError) as ae:
Arc.compute_center_from_both_tangents(p0=Point(-5, 2),
p1=Point(1, 0),
tangent_p0=Point(0, 1),
tangent_p1=Point(1, -1))
def test_add(self):
a = Point(0.5, 0.5)
b = Point(-1, 1)
c = a + b
assert c.x == -0.5
assert c.y == 1.5
def test_simple_arc(self):
candidate = Arc(Point(-1, 0), Point(1, 0), Point(0, 1))
assert candidate.radius == 1
assert candidate.angle == -math.pi
assert candidate.center == Point(0., 0.)
def test_circular_arc(self):
arc = Arc(start=Point(1, 0),
end=Point(0, 1),
start_tangent=Point(0, 1))
assert math.isclose(arc.angle, (math.pi / 2.0))
def convert(positions):
return list(Point.new(xy) for xy in positions)
def test_equal_10e17(self):
a = Point(0.0, 6.123233995736766e-17)
b = Point(0., 0.)
assert a == b
def test_rotate_from_axe(vector, reference, expected):
assert Geometry.transpose_rotation_relative_to(vector, reference) == expected
# Reverse
assert Geometry.transpose_rotation_relative_to(expected, Point(reference.x, - reference.y)) == vector
def test_equal_tuple(self):
a = Point(1.0, 4.0)
assert a == (1, 4)
def test_rotate_from_axe_with_reference_null():
# when
vector = NORTH
reference = Point(0, 0)
with pytest.raises(ZeroDivisionError):
Geometry.transpose_rotation_relative_to(vector, reference)
def test_are_orthogonal(self):
a = Point(0.5, 0.5)
b = Point(-1, 1)
assert a.is_orthogonal(b)
def to_points(self, positions):
return list([Point.new(xy) for xy in positions])
def test_are_not_orthogonal(self):
a = Point(1, 0.7)
b = Point(0.5, 1)
assert not a.is_orthogonal(b)
def test_intersection_2():
line_a = Line(point=Point(3, 1), vector=Point(1, 1))
line_b = Line(point=Point(0, 2), vector=Point(1, 0))
intersection = line_a.intersection(line_b)
expected = Point(4, 2)
assert intersection == expected, f'{intersection} != {expected}'
def test_are_collinear(self):
a = Point(0.5, 0.5)
b = Point(1, 1)
assert a.is_collinear(b)
def test_coordinate_belongs_to_Line():
A = Point(1, 2)
line = Line(point=A, vector=Point(1, 1))
assert line.contains(Point(2, 3))
def test_distance_a_b(self):
assert math.isclose(Point.distance(Point(1, 0), Point(0, 1)),
math.sqrt(2))
def test_line_with_zero_vector(self):
with pytest.raises(ZeroDivisionError):
A = Point(1, 2)
line = Line(point=A, vector=Point(0, 0))
def test_find_angle_from_2_vectors(self, a, b, angle):
def f(u, v):
return math.acos(u.scalar_product(v))
assert f(Point(a[0], a[1]), Point(b[0], b[1])) == angle