def test_average_points_dist():
p0 = Point(0.0, 0.0, 0.0, 3.0, 1)
p1 = Point(0.0, 0.0, 1.0, 3.0, 1)
p2 = Point(0.0, 1.0, 0.0, 3.0, 1)
p3 = Point(1.0, 0.0, 0.0, 3.0, 1)
av_dist = average_points_dist(p0, [p1, p2, p3])
nt.ok_(av_dist == 1.0)
def test_path_distance():
p1 = Point(3.0, 4.0, 5.0, 3.0, 1)
p2 = Point(3.0, 5.0, 5.0, 3.0, 1)
p3 = Point(3.0, 6.0, 5.0, 3.0, 1)
p4 = Point(3.0, 7.0, 5.0, 3.0, 1)
p5 = Point(3.0, 8.0, 5.0, 3.0, 1)
dist = path_distance([p1, p2, p3, p4, p5])
nt.ok_(dist == 4)
def test_polygon_diameter():
p1 = Point(3.0, 4.0, 5.0, 3.0, 1)
p2 = Point(3.0, 5.0, 5.0, 3.0, 1)
p3 = Point(3.0, 6.0, 5.0, 3.0, 1)
dia= polygon_diameter([p1,p2,p3])
nt.ok_(dia==2.0)
surfpoint= soma_points()
dia1 = polygon_diameter(surfpoint)
nt.ok_(fabs(dia1-10.0) < 0.1)
def test_point_members():
p = Point(1, 2, 3, 4, 'FOO')
nt.ok_(p.t == 'FOO')
nt.ok_(p.x == 1)
nt.ok_(p.y == 2)
nt.ok_(p.z == 3)
nt.ok_(p.r == 4)
def soma_points(radius=5,number_points=20):
phi = uniform(0, 2*pi, number_points)
costheta = uniform(-1,1, number_points)
theta = np.arccos(costheta)
x = radius*np.sin(theta)*np.cos(phi)
y = radius*np.sin(theta)*np.sin(phi)
z = radius*np.cos(theta)
return [Point(i, j, k, 0.0, 1) for (i, j, k) in zip(x, y, z)]
def test_segment_volume():
p0 = Point(0.0, 0.0, 0.0, 3.0, 1)
p1 = Point(2.0, 0.0, 0.0, 3.0, 1)
p2 = Point(4.0, 0.0, 0.0, 3.0, 1)
p3 = Point(4.0, 0.0, 0.0, 6.0, 1)
p4 = Point(1.0, 0.0, 0.0, 3.0, 1)
p5 = Point(4.0, 0.0, 0.0, 3.0, 1)
v01 = segment_volume((p0, p1))
v02 = segment_volume((p0, p2))
v03 = segment_volume((p0, p3))
v04 = segment_volume((p0, p4))
v45 = segment_volume((p4, p5))
v05 = segment_volume((p0, p5))
nt.assert_almost_equal(v01, 56.5486677, places=6)
nt.assert_almost_equal(2*v01, v02)
nt.assert_almost_equal(v03, 263.8937829, places=6)
nt.assert_almost_equal(v45, v05 - v04)
nt.assert_almost_equal(segment_volume((p0, p3)), segment_volume((p3, p0)))
def test_segment_area():
p0 = Point(0.0, 0.0, 0.0, 3.0, 1)
p1 = Point(2.0, 0.0, 0.0, 3.0, 1)
p2 = Point(4.0, 0.0, 0.0, 3.0, 1)
p3 = Point(4.0, 0.0, 0.0, 6.0, 1)
p4 = Point(1.0, 0.0, 0.0, 3.0, 1)
p5 = Point(4.0, 0.0, 0.0, 3.0, 1)
a01 = segment_area((p0, p1))
a02 = segment_area((p0, p2))
a03 = segment_area((p0, p3))
a04 = segment_area((p0, p4))
a45 = segment_area((p4, p5))
a05 = segment_area((p0, p5))
nt.assert_almost_equal(a01, 37.6991118, places=6)
nt.assert_almost_equal(2*a01, a02)
nt.assert_almost_equal(a03, 141.3716694, places=6)
nt.assert_almost_equal(a45, a05 - a04)
nt.assert_almost_equal(segment_area((p0, p3)), segment_area((p3, p0)))
def test_point_dist():
p1 = Point(3.0, 4.0, 5.0, 3.0, 1)
p2 = Point(4.0, 5.0, 6.0, 3.0, 1)
dist = point_dist(p1,p2)
nt.ok_(dist==sqrt(3))
def test_point_dist():
p1 = Point(3.0, 4.0, 5.0, 3.0, 1)
p2 = Point(4.0, 5.0, 6.0, 3.0, 1)
dist = mm.point_dist(p1,p2)
nt.eq_(dist, sqrt(3))
def test_segment_length2():
p1 = Point(3.0, 4.0, 5.0, 3.0, 1)
p2 = Point(4.0, 5.0, 6.0, 3.0, 1)
dist = mm.segment_length2((p1, p2))
nt.eq_(dist, 3)