def test_init():
"""
Check if it raises an error if not proper figure is chosen
"""
temp = ChaosGame(2)
temp = ChaosGame(1)
def test_ChaosGame_starting_point():
"""Test if starting points are within radius 1 from origin (unit circle)"""
for i in range(3, 10):
testgon = ChaosGame(i, 1 / 2)
testgon._starting_point()
nt.assert_less_equal(
np.sqrt(testgon.start[0]**2 + testgon.start[1]**2), 1)
def test_generate_ngon():
"""
Checks if value that is passed to cos is in radians, i.e. cos(0) = 1
"""
temp = ChaosGame(4)
temp._generate_ngon()
nt.assert_equal(np.cos(temp.theta[0]), 1)
def test_indices():
"""
Test to verify that the class produces the right amount of indices
"""
polygon = ChaosGame(5, 0.5)
polygon.iterate(500)
check = any(polygon._indices >= 5)
msg = "1 or more polygon indices was larger than 5-1"
assert not check, msg
def test_iterate():
"""
Test to verify that the class iterates the right number of time
"""
polygon = ChaosGame()
polygon.iterate(300)
length = len(polygon._x)
bool = length == 300
msg = "The number of points generated was not 3000, it was : {}".format(
length)
assert bool, msg
def test_ChaosGame_iterate():
"""Test if iterated points are within radius 1 from origin (unit circle)"""
testgon = ChaosGame(3, 1 / 2)
for i in [1000, 3000, 101, 5000]:
testgon.iterate(i)
nt.assert_almost_equal(len(testgon.points), i)
np.testing.assert_array_less(
np.sqrt(testgon.points[:, 0]**2 + testgon.points[:, 1]**2), 1)
def test_savepng():
"""
Tests if a wrong format of the picture gives error
"""
temp = ChaosGame(2)
temp._generate_ngon()
temp._generate_points(20)
temp._starting_point()
temp.iterate(10)
a.savepng('filename.jpg')
def test_scaled():
"""
Test scaling vector - sum of the elements should be equal to 0
"""
temp = ChaosGame(4)
temp._generate_ngon()
temp._generate_points(20)
temp._starting_point()
temp.iterate(10)
computed = np.sum(temp.new_r[0])
assert (1 - computed) == 0
def test_equilateral_triangle():
a = ChaosGame(3)
edge1 = np.linalg.norm(a.corners[0] - a.corners[1])
edge2 = np.linalg.norm(a.corners[0] - a.corners[2])
edge3 = np.linalg.norm(a.corners[1] - a.corners[2])
nt.assert_almost_equal(edge1, edge2)
nt.assert_almost_equal(edge1, edge3)
def test_equilateral_square():
b = ChaosGame(4)
edge1 = np.linalg.norm(b.corners[0] - b.corners[1])
edge2 = np.linalg.norm(b.corners[1] - b.corners[2])
edge3 = np.linalg.norm(b.corners[2] - b.corners[3])
edge4 = np.linalg.norm(b.corners[3] - b.corners[0])
nt.assert_almost_equal(edge1, edge2)
nt.assert_almost_equal(edge1, edge3)
nt.assert_almost_equal(edge1, edge4)
def test_number_of_vertices():
"""
Test to verify that the class produces the right number of vertices
"""
polygon = ChaosGame(4, 0.5)
number_of_corners = len(polygon.corner)
bool = number_of_corners == 4
msg = "The polygon does not have 3 vertices it has : {}".format(
number_of_corners)
assert bool, msg
def test_ChaosGame_init_errors2():
"""Test if ValueErrors are raised in initialization"""
testgon = ChaosGame(0, 1 / 2)
testgon = ChaosGame(1, 1 / 2)
testgon = ChaosGame(2, 1 / 2)
testgon = ChaosGame(-5, 1 / 2)
testgon = ChaosGame(3, float(1))
testgon = ChaosGame(3, float(2))
testgon = ChaosGame(3, float(3.5))
testgon = ChaosGame(3, float(-0.1))
def test_ChaosGame_initialization():
"""Test different initialization attributes"""
testtri = ChaosGame(3, 1 / 2)
testquad = ChaosGame(4, 1 / 3)
testpent = ChaosGame(5, 1 / 4)
nt.assert_almost_equal(testtri.r, 1 / 2)
nt.assert_almost_equal(testtri.n, 3)
nt.assert_almost_equal(testquad.r, 1 / 3)
nt.assert_almost_equal(testquad.n, 4)
nt.assert_almost_equal(testpent.r, 1 / 4)
nt.assert_almost_equal(testpent.n, 5)
nt.assert_almost_equal(testtri.corners[0][0], np.sin(0))
nt.assert_almost_equal(testtri.corners[0][1], np.cos(0))
nt.assert_almost_equal(testtri.corners[1][0], np.sin((1 / 3) * 2 * np.pi))
nt.assert_almost_equal(testtri.corners[1][1], np.cos((1 / 3) * 2 * np.pi))
nt.assert_almost_equal(testtri.corners[2][0], np.sin((2 / 3) * 2 * np.pi))
nt.assert_almost_equal(testtri.corners[2][1], np.cos((2 / 3) * 2 * np.pi))
def test_generate_ngon():
"""
Test to verify that each side of the polygon has the same length
"""
polygon = ChaosGame(3, 0.5)
vec1 = polygon.corner[0] - polygon.corner[1]
vec2 = polygon.corner[1] - polygon.corner[2]
sidelength1 = np.sqrt(vec1[0]**2 + vec1[1]**2)
sidelength2 = np.sqrt(vec2[0]**2 + vec2[1]**2)
diff = abs(sidelength1 - sidelength2)
bool = diff < 1e-4
msg = "The generated polygon does not have equal length sides. " \
"The sides differ by : {}".format(diff)
assert bool, msg
def test_ChaosGame_init_errors1():
"""Test if TypeErrors are raised in initialization"""
testgon = ChaosGame(0.1, 1 / 2)
testgon = ChaosGame("nose", 1 / 2)
testgon = ChaosGame([1, 2, 3], 1 / 2)
testgon = ChaosGame(3, "nose")
testgon = ChaosGame(3, [1, 2, 3])
testgon = ChaosGame(3, int(1))
def test__init__n():
ChaosGame(2, 0.5)
ChaosGame(3.5, 0.5)
def test_generate_ngon():
""" Test that _generate_ngon returns list. """
T = ChaosGame(5, 0.5)
s = T._generate_ngon(5)
nt.assert_equal(type(s), list)
def test_starting_point():
""" Test that _starting_point returns array. """
T = ChaosGame(5, 0.5)
s = T._starting_point()
nt.assert_equal(type(s), np.ndarray)
def test_savepng():
T = ChaosGame(5, 0.5)
T.iterate(50)
T.savepng("outfile.pic")
def test__init__():
ChaosGame(5, 1.1)
ChaosGame(4, 1)
@classmethod
def list_of_variations(cls):
dict = {
'Linear': Variations.linear,
'Handkercheif': Variations.handkerchief,
'Swirl': Variations.swirl,
'Disc': Variations.disc,
'Diamond': Variations.diamond,
'Heart': Variations.heart
}
return dict
if __name__ == '__main__':
a = ChaosGame(4, 1 / 3)
a.iterate(10000)
x = a.x[:, 0]
y = -a.x[:, 1]
x /= np.max(np.abs(x), axis=0)
y /= np.max(np.abs(y), axis=0)
var = Variations(x, y, a.c)
weights = np.linspace(0, 1, 4)
for i in range(len(weights)):
dic = {var.swirl: weights[i], var.linear: 1 - weights[i]}
var(dic)
var.plot(2, 2)
plt.title("linear coef :{:.2} Swirl coef : {:.2}".format(
1 - weights[i], weights[i]))
print(var.plotnumber)
plt.show(dpi=500)
def test_error_n():
a = ChaosGame(0.1)
b = ChaosGame(2)
def test_error_r():
a = ChaosGame(3, 1)
b = ChaosGame(3, 1.1)
def test_savepng():
a = ChaosGame(3)
a.iterate(30000)
a.savepng('sierpinski.pdf')
