def test_line_intersection():
assert asa(120, 8, 52) == \
Triangle(
Point(0, 0),
Point(8, 0),
Point(-4*cos(19*pi/90)/sin(2*pi/45),
4*sqrt(3)*cos(19*pi/90)/sin(2*pi/45)))
assert Line((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Line((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (10, 10)).contains(Segment((1, 1), (2, 2))) is True
assert Segment((1, 1), (2, 2)) in Line((0, 0), (10, 10))
x = 8 * tan(13 * pi / 45) / (tan(13 * pi / 45) + sqrt(3))
y = (-8*sqrt(3)*tan(13*pi/45)**2 + 24*tan(13*pi/45)) / \
(-3 + tan(13*pi/45)**2)
assert Line(Point(0, 0), Point(1, -sqrt(3))).contains(Point(x, y)) is True
def test_line_intersection():
assert asa(120, 8, 52) == \
Triangle(
Point(0, 0),
Point(8, 0),
Point(-4*cos(19*pi/90)/sin(2*pi/45),
4*sqrt(3)*cos(19*pi/90)/sin(2*pi/45)))
assert Line((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Line((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (10, 10)).contains(Segment((1, 1), (2, 2))) is True
assert Segment((1, 1), (2, 2)) in Line((0, 0), (10, 10))
x = 8*tan(13*pi/45)/(tan(13*pi/45) + sqrt(3))
y = (-8*sqrt(3)*tan(13*pi/45)**2 + 24*tan(13*pi/45)) / \
(-3 + tan(13*pi/45)**2)
assert Line(Point(0, 0), Point(1, -sqrt(3))).contains(Point(x, y)) is True
def test_line_intersection():
assert asa(120, 8, 52) == \
Triangle(
Point(0, 0),
Point(8, 0),
Point(-4*cos(19*pi/90)/sin(2*pi/45),
4*sqrt(3)*cos(19*pi/90)/sin(2*pi/45)))
assert Line((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Line((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == \
[Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == \
[Point(1, 1)]
assert (Ray((0, 0), angle=-pi).intersection(Segment(
(-1, 0), (2, 0))) == [Segment((-1, 0), (0, 0))])
assert Ray((0, 0), (10, 10)).contains(Segment((1, 1), (2, 2))) is True
assert Segment((1, 1), (2, 2)) in Line((0, 0), (10, 10))
x = 8 * tan(13 * pi / 45) / (tan(13 * pi / 45) + sqrt(3))
y = (-8*sqrt(3)*tan(13*pi/45)**2 + 24*tan(13*pi/45)) / \
(-3 + tan(13*pi/45)**2)
assert Line(Point(0, 0), Point(1, -sqrt(3))).contains(Point(x, y)) is True
# issue sympy/sympy#2941
def _check():
for f, g in itertools.product(*[(Line, Ray, Segment)] * 2):
l1 = f(a, b)
l2 = g(c, d)
assert l1.intersection(l2) == l2.intersection(l1)
# intersect at end point
c, d = (-2, -2), (-2, 0)
a, b = (0, 0), (1, 1)
_check()
# midline intersection
c, d = (-2, -3), (-2, 0)
a, b = (0, 0), (1, 1)
_check()