def test_tangents_containing_circle(self):
"test circle tangents when one circle contains another"
circle1 = Circle(Vec2D(), 10)
circle2 = Circle(Vec2D(), 5)
self.assertTrue(len(circle1.tangent_circle(circle2)) == 0)
self.assertTrue(len(circle2.tangent_circle(circle1)) == 0)
def test_tangents_containing_circle(self):
"test circle tangents when one circle contains another"
circle1 = Circle(Vec2D(), 10)
circle2 = Circle(Vec2D(), 5)
self.assertTrue(len(circle1.tangent_circle(circle2)) == 0)
self.assertTrue(len(circle2.tangent_circle(circle1)) == 0)
def test_all_tangents_simple1(self):
"test that all_tangents returns all tangents of two circles \
when only those 2 circles are present"
circ1 = Circle(Vec2D(-2, 0), 1)
circ2 = Circle(Vec2D(2, 0), 1)
tangents = circ1.tangent_circle(circ2)
to_test = pp.all_tangents([circ1, circ2], [])
verificator = all(test in tangents for test in to_test)
self.assertTrue(verificator)
def test_all_tangents_simple1(self):
"test that all_tangents returns all tangents of two circles \
when only those 2 circles are present"
circ1 = Circle(Vec2D(-2, 0), 1)
circ2 = Circle(Vec2D(2, 0), 1)
tangents = circ1.tangent_circle(circ2)
to_test = pp.all_tangents([circ1, circ2], [])
verificator = all(test in tangents for test in to_test)
self.assertTrue(verificator)
def test_tangents_intersec_circles(self):
"test circle tangents of intersecting circles"
circle1 = Circle(Vec2D(), 2)
circle2 = Circle(Vec2D(3, 0), 2)
tans = circle1.tangent_circle(circle2)
self.assertTrue(len(tans) == 2)
tan1 = Tangent(Vec2D(0, 2), circle1, 1, Vec2D(3, 2), circle2, -1)
tan2 = Tangent(Vec2D(0, -2), circle1, -1, Vec2D(3, -2), circle2, 1)
verify = all(tan == tan1 or tan == tan2 for tan in tans)
self.assertTrue(verify)
def test_tangents_intersec_circles(self):
"test circle tangents of intersecting circles"
circle1 = Circle(Vec2D(), 2)
circle2 = Circle(Vec2D(3, 0), 2)
tans = circle1.tangent_circle(circle2)
self.assertTrue(len(tans) == 2)
tan1 = Tangent(Vec2D(0, 2), circle1, 1, Vec2D(3, 2), circle2, -1)
tan2 = Tangent(Vec2D(0, -2), circle1, -1, Vec2D(3, -2), circle2, 1)
verify = all(tan == tan1 or tan == tan2 for tan in tans)
self.assertTrue(verify)
def test_circle_tangents_full(self):
"test tangents between two disjoint circles"
circ1 = Circle()
circ2 = Circle(Vec2D(4, 0))
midpoint = Vec2D(2, 0)
hypothenuse = (midpoint - circ1.pos).length()
opp_side = circ1.radius
tan_len = sqrt(hypothenuse * hypothenuse - opp_side * opp_side)
angle = asin(opp_side / hypothenuse)
start1 = (circ1.pos - midpoint).rotate(angle).normalized() * tan_len
start1 = start1 + midpoint
end1 = (circ2.pos - midpoint).rotate(angle).normalized() * tan_len
end1 = end1 + midpoint
start2 = (circ1.pos - midpoint).rotate(-angle).normalized() * tan_len
start2 = start2 + midpoint
end2 = (circ2.pos - midpoint).rotate(-angle).normalized() * tan_len
end2 = end2 + midpoint
r_tans = []
r_tans.append(Tangent(start1, circ1, -1, end1, circ2, -1))
r_tans.append(Tangent(start2, circ1, 1, end2, circ2, 1))
r_tans.append(Tangent(Vec2D(0, 1), circ1, 1, Vec2D(4, 1), circ2, -1))
r_tans.append(Tangent(Vec2D(0, -1), circ1, -1, Vec2D(4, -1), circ2, 1))
tans = circ1.tangent_circle(circ2)
self.assertTrue(len(tans) == 4)
valid = all(t in r_tans for t in tans)
self.assertTrue(valid)
def test_circle_tangents_full(self):
"test tangents between two disjoint circles"
circ1 = Circle()
circ2 = Circle(Vec2D(4, 0))
midpoint = Vec2D(2, 0)
hypothenuse = (midpoint - circ1.pos).length()
opp_side = circ1.radius
tan_len = sqrt(hypothenuse * hypothenuse - opp_side * opp_side)
angle = asin(opp_side / hypothenuse)
start1 = (circ1.pos - midpoint).rotate(angle).normalized() * tan_len
start1 = start1 + midpoint
end1 = (circ2.pos - midpoint).rotate(angle).normalized() * tan_len
end1 = end1 + midpoint
start2 = (circ1.pos - midpoint).rotate(-angle).normalized() * tan_len
start2 = start2 + midpoint
end2 = (circ2.pos - midpoint).rotate(-angle).normalized() * tan_len
end2 = end2 + midpoint
r_tans = []
r_tans.append(Tangent(start1, circ1, -1, end1, circ2, -1))
r_tans.append(Tangent(start2, circ1, 1, end2, circ2, 1))
r_tans.append(Tangent(Vec2D(0, 1), circ1, 1, Vec2D(4, 1), circ2, -1))
r_tans.append(Tangent(Vec2D(0, -1), circ1, -1, Vec2D(4, -1), circ2, 1))
tans = circ1.tangent_circle(circ2)
self.assertTrue(len(tans) == 4)
valid = all(t in r_tans for t in tans)
self.assertTrue(valid)