def test_place_sums():
"""
Test procedure for function place_sums
"""
print('Testing function place_sums')
table = [['I1','I2','I3'], [0.8, 0.2], [0.6, 0.9], [0.4, 0.3]]
goal = [['I1','I2','I3','Sum'], [0.8, 0.2, 1.0], [0.6, 0.9, 1.5], [0.4, 0.3, 0.7]]
funcs.place_sums(table)
introcs.assert_equals(goal[0],table[0])
for pos in range(1,len(table)):
introcs.assert_float_lists_equal(goal[pos],table[pos])
table = [['I1','I2'], [0.2, -0.6, 0.1], [0.9, 0.8, -1.0]]
goal = [['I1','I2','Sum'], [0.2, -0.6, 0.1, -0.3], [0.9, 0.8, -1.0, 0.7]]
funcs.place_sums(table)
introcs.assert_equals(goal[0],table[0])
for pos in range(1,len(table)):
introcs.assert_float_lists_equal(goal[pos],table[pos])
table = [['I1'], [0.4, 0.8, 0.5, 0.4]]
goal = [['I1','Sum'], [0.4, 0.8, 0.5, 0.4, 2.1]]
funcs.place_sums(table)
introcs.assert_equals(goal[0],table[0])
for pos in range(1,len(table)):
introcs.assert_float_lists_equal(goal[pos],table[pos])
table = [['I1','I2','I3','I4'], [0.3], [0.5], [0.8], [0.4]]
goal = [['I1','I2','I3','I4','Sum'], [0.3, 0.3], [0.5, 0.5], [0.8, 0.8], [0.4, 0.4]]
funcs.place_sums(table)
introcs.assert_equals(goal[0],table[0])
for pos in range(1,len(table)):
introcs.assert_float_lists_equal(goal[pos],table[pos])
def test_row_sums():
"""
Test procedure for function row_sums
"""
print('Testing function row_sums')
result = funcs.row_sums([[0.8, 0.2], [0.6, 0.9], [0.4, 0.3]])
introcs.assert_float_lists_equal([1.0, 1.5, 0.7],result)
result = funcs.row_sums([[0.2, -0.6, 0.1], [0.9, 0.8, -1.0]])
introcs.assert_float_lists_equal([-0.3, 0.7],result)
result = funcs.row_sums([[0.4, 0.8, 0.5, 0.4]])
introcs.assert_float_lists_equal([2.1],result)
result = funcs.row_sums([[0.3], [0.5], [0.8], [0.4]])
introcs.assert_float_lists_equal([0.3, 0.5, 0.8, 0.4],result)
def test_place_sums():
"""
Test procedure for function place_sums().
Note the use of assert_float_lists_equal for testing (nested) lists
of floats.
"""
print('Testing place_sums()')
table = [['P1', 'P3', 'P5', 'P7', 'P9'], [0.7, 0.0, -0.7, 1.0, -0.9]]
answr = [['P1', 'P3', 'P5', 'P7', 'P9', 'Sum'],
[0.7, 0.0, -0.7, 1.0, -0.9, 0.1]]
result = funcs.place_sums(table)
introcs.assert_equals(None, result)
# Need to check string part and float part separately
introcs.assert_equals(answr[0], table[0])
introcs.assert_float_lists_equal(answr[1:], table[1:])
table = [['P1'], [0.7], [0.1], [0.4], [-0.2], [0.6]]
answr = [['P1', 'Sum'], [0.7, 0.7], [0.1, 0.1], [0.4, 0.4], [-0.2, -0.2],
[0.6, 0.6]]
result = funcs.place_sums(table)
introcs.assert_equals(None, result)
# Need to check string part and float part separately
introcs.assert_equals(answr[0], table[0])
introcs.assert_float_lists_equal(answr[1:], table[1:])
table = [['P1', 'P3', 'P5'], [0.7, 0.0, -0.7], [0.1, 0.4, -0.6]]
answr = [['P1', 'P3', 'P5', 'Sum'], [0.7, 0.0, -0.7, 0.0],
[0.1, 0.4, -0.6, -0.1]]
result = funcs.place_sums(table)
introcs.assert_equals(None, result)
# Need to check string part and float part separately
introcs.assert_equals(answr[0], table[0])
introcs.assert_float_lists_equal(answr[1:], table[1:])
table = [['P1', 'P3', 'P5', 'P7', 'P9'], [0.7, 0.0, -0.7, 1.0, -0.9],
[0.1, 0.4, -0.6, 0.9, 0.2], [0.4, -0.1, -0.2, 0.1, -0.6],
[-0.2, 0.2, 0.2, -0.3, -0.2], [0.6, -0.1, -0.0, 0.8, 0.9]]
answr = [['P1', 'P3', 'P5', 'P7', 'P9', 'Sum'],
[0.7, 0.0, -0.7, 1.0, -0.9, 0.1], [0.1, 0.4, -0.6, 0.9, 0.2, 1.0],
[0.4, -0.1, -0.2, 0.1, -0.6, -0.4],
[-0.2, 0.2, 0.2, -0.3, -0.2, -0.3],
[0.6, -0.1, -0.0, 0.8, 0.9, 2.2]]
result = funcs.place_sums(table)
introcs.assert_equals(None, result)
# Need to check string part and float part separately
introcs.assert_equals(answr[0], table[0])
introcs.assert_float_lists_equal(answr[1:], table[1:])
def test_dataset():
"""
Tests the Dataset class.
"""
print(' Testing class Dataset')
# TEST CASE 1
# Create and test an empty dataset
dset1 = a6dataset.Dataset(3)
introcs.assert_equals(3, dset1.getDimension())
introcs.assert_equals(0, dset1.getSize())
# We use this assert function to compare lists
introcs.assert_float_lists_equal([], dset1.getContents())
print(' Default initialization looks okay')
# TEST CASE 2
# Create and test a non-empty dataset
items = [[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0],
[0.0, 0.0, 1.0]]
dset2 = a6dataset.Dataset(3, items)
introcs.assert_equals(3, dset2.getDimension())
introcs.assert_equals(4, dset2.getSize())
# Check that contents is initialized correctly
# Make sure items is COPIED
assert_point_sets_equal(items, dset2.getContents())
introcs.assert_false(dset2.getContents() is items)
introcs.assert_false(dset2.getContents()[0] is items[0])
print(' User-provided initialization looks okay')
# Check that getPoint() is correct AND that it copies
introcs.assert_float_lists_equal([0.0, 1.0, 0.0], dset2.getPoint(2))
introcs.assert_false(dset2.getContents()[2] is dset2.getPoint(2))
print(' Method Dataset.getPoint looks okay')
# Add something to the dataset (and check it was added)
dset1.addPoint([0.0, 0.5, 4.2])
assert_point_sets_equal([[0.0, 0.5, 4.2]], dset1.getContents())
introcs.assert_float_lists_equal([0.0, 0.5, 4.2], dset1.getPoint(0))
# Check the point is COPIED
introcs.assert_false(dset1.getPoint(0) is dset1.getContents()[0])
extra = [0.0, 0.5, 4.2]
dset2.addPoint(extra)
items.append(extra)
assert_point_sets_equal(items, dset2.getContents())
# Check the point was COPIED
introcs.assert_false(id(extra) in map(id, dset2.getContents()))
print(' Method Dataset.addPoint looks okay')
print(' class Dataset appears correct')
print()
def test_cluster_a():
"""
Tests Part A of the Cluster class assignment.
"""
print(' Testing Part A of class Cluster')
# TEST CASE 1
# Create and test a cluster (always empty)
dset = a6dataset.Dataset(3)
point = [0.0, 1.0, 0.0]
cluster1 = a6cluster.Cluster(dset, point)
# Compare centroid and contents
introcs.assert_float_lists_equal(point, cluster1.getCentroid())
introcs.assert_equals([], cluster1.getIndices())
# Make sure centroid COPIED
introcs.assert_not_equals(id(point), id(cluster1.getCentroid()))
print(' Basic cluster methods look okay')
# Add something to cluster (and check it was added)
extra = [[0.0, 0.5, 4.2], [0.0, 1.0, 0.0]]
dset.addPoint(extra[0])
dset.addPoint(extra[1])
cluster1.addIndex(1)
introcs.assert_equals([1], cluster1.getIndices())
cluster1.addIndex(0)
introcs.assert_equals([1, 0], cluster1.getIndices())
# Make sure we can handle duplicates!
cluster1.addIndex(1)
introcs.assert_equals([1, 0], cluster1.getIndices())
print(' Method Cluster.addIndex look okay')
# And clear it
contents = cluster1.getContents()
introcs.assert_equals(2, len(contents))
introcs.assert_float_lists_equal(extra[1], contents[0])
introcs.assert_float_lists_equal(extra[0], contents[1])
print(' Method Cluster.getContents look okay')
# And clear it
cluster1.clear()
introcs.assert_equals([], cluster1.getIndices())
print(' Method Cluster.clear look okay')
print(' Part A of class Cluster appears correct')
print()
def test_crossout():
"""
Test procedure for function crossout().
Note the use of assert_float_lists_equal for testing (nested) lists
of floats.
"""
print('Testing crossout()')
table = [[0.1, 0.3, 0.5], [0.6, 0.2, 0.7], [1.5, 2.3, 0.4]]
result = funcs.crossout(table, 1, 2)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[0.1, 0.3], [1.5, 2.3]], table)
table = [[0.1, 0.3, 0.5], [0.6, 0.2, 0.7], [1.5, 2.3, 0.4]]
result = funcs.crossout(table, 0, 0)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[0.2, 0.7], [2.3, 0.4]], table)
table = [[0.1, 0.3, 0.5], [0.6, 0.2, 0.7], [1.5, 2.3, 0.4]]
result = funcs.crossout(table, 2, 1)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[0.1, 0.5], [0.6, 0.7]], table)
table = [[0.1, 0.3, 0.5], [0.6, 0.2, 0.7], [1.5, 2.3, 0.4],
[0.1, 0.2, 0.3]]
result = funcs.crossout(table, 1, 2)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[0.1, 0.3], [1.5, 2.3], [0.1, 0.2]],
table)
table = [[0.1, 0.3, 0.5, 1.0], [0.6, 0.2, 0.7, 2.0], [1.5, 2.3, 0.4, 3.0]]
result = funcs.crossout(table, 1, 2)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[0.1, 0.3, 1.0], [1.5, 2.3, 3.0]], table)
table = [[1, 2], [3, 4]]
result = funcs.crossout(table, 1, 0)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[2]], table)
table = [[1, 2], [3, 4]]
result = funcs.crossout(table, 0, 1)
introcs.assert_equals(None, result)
introcs.assert_float_lists_equal([[3]], table)
table = [[5]]
result = funcs.crossout(table, 0, 0)
introcs.assert_equals(None, result)
introcs.assert_equals([], table)
def test_files_to_dictionary():
"""
Test loading function files_to_dictionary
"""
files = ['colorblind/normal.dat','colorblind/tritanomaly.dat']
maps = a2.files_to_dictionary(files)
introcs.assert_equals(2,len(maps))
introcs.assert_true('Normal' in maps)
introcs.assert_true('Tritanomaly' in maps)
introcs.assert_float_lists_equal([1,0,0],maps['Normal'][0])
introcs.assert_float_lists_equal([0,1,0],maps['Normal'][1])
introcs.assert_float_lists_equal([0,0,1],maps['Normal'][2])
introcs.assert_float_lists_equal([0.967, 0.033, 0],maps['Tritanomaly'][0])
introcs.assert_float_lists_equal([0, 0.733, 0.267],maps['Tritanomaly'][1])
introcs.assert_float_lists_equal([0, 0.183, 0.817],maps['Tritanomaly'][2])
def test_file_to_data():
"""
Test file function file_to_data
"""
file = 'colorblind/normal.dat'
data = a2.file_to_data(file)
introcs.assert_equals('Normal',data[0])
introcs.assert_float_lists_equal([1,0,0],data[1])
introcs.assert_float_lists_equal([0,1,0],data[2])
introcs.assert_float_lists_equal([0,0,1],data[3])
file = 'colorblind/tritanomaly.dat'
data = a2.file_to_data(file)
introcs.assert_equals('Tritanomaly',data[0])
introcs.assert_float_lists_equal([0.967, 0.033, 0],data[1])
introcs.assert_float_lists_equal([0, 0.733, 0.267],data[2])
introcs.assert_float_lists_equal([0, 0.183, 0.817],data[3])
def test_algorithm_d():
"""
Tests Part D of the Algorithm class.
"""
print(' Testing Part D of class Algorithm')
items = [[0.5, 0.5, 0.5], [0.5, 0.6, 0.6], [0.6, 0.5, 0.6],
[0.5, 0.6, 0.5], [0.5, 0.4, 0.5], [0.5, 0.4, 0.4]]
dset = a6dataset.Dataset(3, items)
# Try the same test case straight from the top using perform_k_means
km1 = a6algorithm.Algorithm(dset, 2, [1, 3])
km1.run(10)
# Check first cluster
cluster1 = km1.getClusters()[0]
introcs.assert_float_lists_equal([8. / 15, 17. / 30, 17. / 30],
cluster1.getCentroid())
introcs.assert_equals(set([1, 2, 3]), set(cluster1.getIndices()))
# Check second cluster
cluster2 = km1.getClusters()[1]
introcs.assert_float_lists_equal([0.5, 13. / 30, 14. / 30],
cluster2.getCentroid())
introcs.assert_equals(set([0, 4, 5]), set(cluster2.getIndices()))
print(' Method run looks okay')
# Test on a real world data set
file = os.path.join(os.path.split(__file__)[0], TEST_FILE)
data = a6dataset.Dataset(4, tools.data_for_file(file))
km2 = a6algorithm.Algorithm(data, 3, [23, 54, 36])
km2.run(20)
# The actual results
cluster0 = km2.getClusters()[0]
cluster1 = km2.getClusters()[1]
cluster2 = km2.getClusters()[2]
# The "correct" answers
contents0 = [[0.88, 0.84, 0.8, 0.3], [0.02, 0.67, 0.75, 0.61],
[0.81, 0.69, 0.65, 0.65], [0.62, 0.75, 0.65, 0.43],
[0.35, 0.63, 0.65, 0.12], [0.61, 0.85, 0.81, 0.44],
[0.95, 0.94, 0.98, 0.69], [0.04, 0.69, 0.38, 0.39],
[0.28, 0.91, 0.63, 0.08], [0.38, 0.94, 0.53, 0.07],
[0.08, 0.62, 0.32, 0.27], [0.69, 0.82, 0.75, 0.65],
[0.84, 0.89, 0.91, 0.38], [0.22, 0.88, 0.39, 0.33],
[0.71, 0.78, 0.64, 0.57], [0.15, 0.87, 0.62, 0.22],
[0.65, 0.81, 0.69, 0.55], [0.27, 0.63, 0.69, 0.39],
[0.35, 0.7, 0.41, 0.15], [0.91, 0.98, 0.61, 0.58],
[0.9, 0.63, 0.83, 0.6], [0.95, 0.83, 0.64, 0.5],
[0.76, 0.86, 0.74, 0.61], [0.27, 0.65, 0.52, 0.28],
[0.86, 0.91, 0.88, 0.62], [0.1, 0.79, 0.5, 0.12],
[0.99, 0.68, 0.8, 0.42], [0.09, 0.85, 0.55, 0.21],
[0.79, 0.94, 0.83, 0.48], [0.73, 0.92, 0.74, 0.39],
[0.89, 0.72, 0.78, 0.38], [0.39, 0.9, 0.52, 0.26],
[0.46, 0.35, 0.96, 0.05], [0.21, 0.62, 0.33, 0.09],
[0.58, 0.37, 0.9, 0.08], [0.54, 0.92, 0.36, 0.35],
[0.67, 0.32, 0.66, 0.2], [0.36, 0.64, 0.57, 0.26],
[0.9, 0.7, 0.74, 0.63], [0.4, 0.69, 0.74, 0.7]]
contents1 = [[0.32, 0.87, 0.14, 0.68], [0.73, 0.31, 0.15, 0.08],
[0.87, 0.99, 0.2, 0.8], [0.77, 0.45, 0.31, 0.31],
[0.96, 0.09, 0.49, 0.3], [0.86, 0.03, 0.3, 0.39],
[0.86, 0.86, 0.32, 0.88], [0.8, 0.4, 0.23, 0.33],
[0.81, 0.66, 0.26, 0.82], [0.95, 0.62, 0.28, 0.01],
[0.35, 0.71, 0.01, 0.32], [0.73, 0.65, 0.23, 0.02],
[0.84, 0.88, 0.04, 0.86], [0.8, 0.62, 0.09, 0.65],
[0.72, 0.55, 0.1, 0.17], [0.61, 0.42, 0.24, 0.33],
[0.72, 0.88, 0.02, 0.95], [0.88, 0.96, 0.09, 0.88],
[0.9, 0.05, 0.34, 0.41], [0.9, 0.41, 0.27, 0.36]]
contents2 = [[0.4, 0.21, 0.78, 0.68], [0.54, 0.06, 0.81, 0.98],
[0.2, 0.54, 0.73, 0.85], [0.14, 0.31, 0.86, 0.74],
[0.39, 0.14, 0.99, 0.24], [0.23, 0.32, 0.7, 0.75],
[0.65, 0.05, 0.39, 0.49], [0.04, 0.52, 0.99, 0.75],
[0.14, 0.55, 0.67, 0.63], [0.5, 0.2, 0.69, 0.95],
[0.79, 0.09, 0.41, 0.69], [0.4, 0.3, 0.78, 0.74],
[0.65, 0.24, 0.63, 0.27], [0.35, 0.3, 0.94, 0.92],
[0.39, 0.38, 0.85, 0.32], [0.38, 0.07, 0.82, 0.01],
[0.66, 0.09, 0.69, 0.46], [0.26, 0.39, 0.95, 0.63],
[0.54, 0.06, 0.74, 0.86], [0.2, 0.48, 0.98, 0.84],
[0.62, 0.24, 0.77, 0.17], [0.27, 0.38, 0.76, 0.63],
[0.7, 0.04, 0.7, 0.82], [0.41, 0.11, 0.61, 0.78],
[0.22, 0.44, 0.67, 0.99], [0.51, 0.05, 0.95, 0.66],
[0.44, 0.1, 0.61, 0.98], [0.31, 0.16, 0.95, 0.9],
[0.31, 0.5, 0.87, 0.85], [0.5, 0.09, 0.84, 0.78],
[0.62, 0.01, 0.88, 0.1], [0.44, 0.28, 0.88, 0.99],
[0.57, 0.23, 0.6, 0.85], [0.72, 0.14, 0.63, 0.37],
[0.39, 0.08, 0.77, 0.96], [0.09, 0.47, 0.63, 0.8],
[0.63, 0.05, 0.52, 0.63], [0.62, 0.27, 0.67, 0.77],
[0.35, 0.04, 0.85, 0.86], [0.36, 0.34, 0.75, 0.37]]
centroid0 = [0.54125, 0.7545, 0.66125, 0.3775]
centroid1 = [0.76900, 0.5705, 0.20550, 0.4775]
centroid2 = [0.42325, 0.2330, 0.75775, 0.6765]
introcs.assert_float_lists_equal(centroid0, cluster0.getCentroid())
introcs.assert_float_lists_equal(centroid1, cluster1.getCentroid())
introcs.assert_float_lists_equal(centroid2, cluster2.getCentroid())
assert_point_sets_equal(contents0, cluster0.getContents())
assert_point_sets_equal(contents1, cluster1.getContents())
assert_point_sets_equal(contents2, cluster2.getContents())
print(' File analysis test looks okay')
print(' Part D of class ClusterGroup appears correct')
print()
def test_algorithm_c():
"""
Tests Part C of the Algorithm class.
"""
print(' Testing Part C of class Algorithm')
items = [[0., 0.], [10., 1.], [10., 10.], [0., 9.]]
dset = a6dataset.Dataset(2, items)
km1 = a6algorithm.Algorithm(dset, 2, [0, 2])
km1._partition()
# Test update()
stable = km1._update()
introcs.assert_float_lists_equal([0, 4.5],
km1.getClusters()[0].getCentroid())
introcs.assert_float_lists_equal([10.0, 5.5],
km1.getClusters()[1].getCentroid())
introcs.assert_false(stable)
# updating again should not change anything, but should return stable
stable = km1._update()
introcs.assert_float_lists_equal([0, 4.5],
km1.getClusters()[0].getCentroid())
introcs.assert_float_lists_equal([10.0, 5.5],
km1.getClusters()[1].getCentroid())
introcs.assert_true(stable)
print(' Method Algorithm._update() looks okay')
# Now test the k-means process itself.
# FOR ALL TEST CASES
# Create and initialize a non-empty dataset
items = [[0.5, 0.5, 0.5], [0.5, 0.6, 0.6], [0.6, 0.5, 0.6],
[0.5, 0.6, 0.5], [0.5, 0.4, 0.5], [0.5, 0.4, 0.4]]
dset = a6dataset.Dataset(3, items)
# Create a clustering, providing non-random seed indices so the test is deterministic
km2 = a6algorithm.Algorithm(dset, 2, [1, 3])
# PRE-TEST: Check first cluster (should be okay if passed part D)
cluster1 = km2.getClusters()[0]
introcs.assert_float_lists_equal([0.5, 0.6, 0.6], cluster1.getCentroid())
introcs.assert_equals(set([]), set(cluster1.getIndices()))
# PRE-TEST: Check second cluster (should be okay if passed part D)
cluster2 = km2.getClusters()[1]
introcs.assert_float_lists_equal([0.5, 0.6, 0.5], cluster2.getCentroid())
introcs.assert_equals(set([]), set(cluster2.getIndices()))
# Make a fake cluster to test update_centroid() method
clustertest = a6cluster.Cluster(dset, [0.5, 0.6, 0.6])
for ind in [1, 2]:
clustertest.addIndex(ind)
# TEST CASE 1 (update)
stable = clustertest.update()
introcs.assert_float_lists_equal([0.55, 0.55, 0.6],
clustertest.getCentroid())
introcs.assert_false(stable) # Not yet stable
# TEST CASE 2 (update)
stable = clustertest.update()
introcs.assert_float_lists_equal([0.55, 0.55, 0.6],
clustertest.getCentroid())
introcs.assert_true(stable) # Now it is stable
# TEST CASE 3 (step)
km2.step()
# Check first cluster (WHICH HAS CHANGED!)
cluster1 = km2.getClusters()[0]
introcs.assert_float_lists_equal([0.55, 0.55, 0.6], cluster1.getCentroid())
introcs.assert_equals(set([1, 2]), set(cluster1.getIndices()))
# Check second cluster (WHICH HAS CHANGED!)
cluster2 = km2.getClusters()[1]
introcs.assert_float_lists_equal([0.5, 0.475, 0.475],
cluster2.getCentroid())
introcs.assert_equals(set([0, 3, 4, 5]), set(cluster2.getIndices()))
# TEST CASE 3 (step)
km2.step()
# Check first cluster (WHICH HAS CHANGED!)
cluster1 = km2.getClusters()[0]
introcs.assert_float_lists_equal([8. / 15, 17. / 30, 17. / 30],
cluster1.getCentroid())
introcs.assert_equals(set([1, 2, 3]), set(cluster1.getIndices()))
# Check second cluster (WHICH HAS CHANGED!)
cluster2 = km2.getClusters()[1]
introcs.assert_float_lists_equal([0.5, 13. / 30, 14. / 30],
cluster2.getCentroid())
introcs.assert_equals(set([0, 4, 5]), set(cluster2.getIndices()))
# Try it on a file
file = os.path.join(os.path.split(__file__)[0], TEST_FILE)
data = a6dataset.Dataset(4, tools.data_for_file(file))
km3 = a6algorithm.Algorithm(data, 3, [23, 54, 36])
km3.step()
# The actual results
cluster0 = km3.getClusters()[0]
cluster1 = km3.getClusters()[1]
cluster2 = km3.getClusters()[2]
# The "correct" answers
contents0 = [[0.88, 0.84, 0.8, 0.3], [0.02, 0.67, 0.75, 0.61],
[0.2, 0.54, 0.73, 0.85], [0.62, 0.75, 0.65, 0.43],
[0.35, 0.63, 0.65, 0.12], [0.61, 0.85, 0.81, 0.44],
[0.95, 0.94, 0.98, 0.69], [0.04, 0.69, 0.38, 0.39],
[0.04, 0.52, 0.99, 0.75], [0.28, 0.91, 0.63, 0.08],
[0.14, 0.55, 0.67, 0.63], [0.38, 0.94, 0.53, 0.07],
[0.08, 0.62, 0.32, 0.27], [0.69, 0.82, 0.75, 0.65],
[0.84, 0.89, 0.91, 0.38], [0.22, 0.88, 0.39, 0.33],
[0.39, 0.38, 0.85, 0.32], [0.26, 0.39, 0.95, 0.63],
[0.15, 0.87, 0.62, 0.22], [0.65, 0.81, 0.69, 0.55],
[0.27, 0.63, 0.69, 0.39], [0.35, 0.7, 0.41, 0.15],
[0.2, 0.48, 0.98, 0.84], [0.76, 0.86, 0.74, 0.61],
[0.27, 0.65, 0.52, 0.28], [0.86, 0.91, 0.88, 0.62],
[0.1, 0.79, 0.5, 0.12], [0.09, 0.85, 0.55, 0.21],
[0.79, 0.94, 0.83, 0.48], [0.73, 0.92, 0.74, 0.39],
[0.31, 0.5, 0.87, 0.85], [0.39, 0.9, 0.52, 0.26],
[0.46, 0.35, 0.96, 0.05], [0.21, 0.62, 0.33, 0.09],
[0.58, 0.37, 0.9, 0.08], [0.54, 0.92, 0.36, 0.35],
[0.36, 0.64, 0.57, 0.26], [0.09, 0.47, 0.63, 0.8],
[0.4, 0.69, 0.74, 0.7]]
contents1 = [[0.32, 0.87, 0.14, 0.68], [0.87, 0.99, 0.2, 0.8],
[0.86, 0.86, 0.32, 0.88], [0.81, 0.66, 0.26, 0.82],
[0.91, 0.98, 0.61, 0.58], [0.84, 0.88, 0.04, 0.86],
[0.8, 0.62, 0.09, 0.65], [0.72, 0.88, 0.02, 0.95],
[0.88, 0.96, 0.09, 0.88]]
contents2 = [[0.4, 0.21, 0.78, 0.68], [0.54, 0.06, 0.81, 0.98],
[0.73, 0.31, 0.15, 0.08], [0.81, 0.69, 0.65, 0.65],
[0.14, 0.31, 0.86, 0.74], [0.77, 0.45, 0.31, 0.31],
[0.39, 0.14, 0.99, 0.24], [0.23, 0.32, 0.7, 0.75],
[0.65, 0.05, 0.39, 0.49], [0.96, 0.09, 0.49, 0.3],
[0.86, 0.03, 0.3, 0.39], [0.5, 0.2, 0.69, 0.95],
[0.79, 0.09, 0.41, 0.69], [0.4, 0.3, 0.78, 0.74],
[0.65, 0.24, 0.63, 0.27], [0.35, 0.3, 0.94, 0.92],
[0.71, 0.78, 0.64, 0.57], [0.8, 0.4, 0.23, 0.33],
[0.38, 0.07, 0.82, 0.01], [0.66, 0.09, 0.69, 0.46],
[0.54, 0.06, 0.74, 0.86], [0.95, 0.62, 0.28, 0.01],
[0.35, 0.71, 0.01, 0.32], [0.62, 0.24, 0.77, 0.17],
[0.73, 0.65, 0.23, 0.02], [0.27, 0.38, 0.76, 0.63],
[0.9, 0.63, 0.83, 0.6], [0.7, 0.04, 0.7, 0.82],
[0.95, 0.83, 0.64, 0.5], [0.41, 0.11, 0.61, 0.78],
[0.22, 0.44, 0.67, 0.99], [0.51, 0.05, 0.95, 0.66],
[0.99, 0.68, 0.8, 0.42], [0.72, 0.55, 0.1, 0.17],
[0.44, 0.1, 0.61, 0.98], [0.31, 0.16, 0.95, 0.9],
[0.61, 0.42, 0.24, 0.33], [0.89, 0.72, 0.78, 0.38],
[0.5, 0.09, 0.84, 0.78], [0.62, 0.01, 0.88, 0.1],
[0.44, 0.28, 0.88, 0.99], [0.57, 0.23, 0.6, 0.85],
[0.9, 0.05, 0.34, 0.41], [0.9, 0.41, 0.27, 0.36],
[0.67, 0.32, 0.66, 0.2], [0.72, 0.14, 0.63, 0.37],
[0.39, 0.08, 0.77, 0.96], [0.9, 0.7, 0.74, 0.63],
[0.63, 0.05, 0.52, 0.63], [0.62, 0.27, 0.67, 0.77],
[0.35, 0.04, 0.85, 0.86], [0.36, 0.34, 0.75, 0.37]]
centroid0 = [
0.3987179487179487, 0.7097435897435899, 0.6864102564102561,
0.4164102564102565
]
centroid1 = [
0.7788888888888889, 0.8555555555555555, 0.19666666666666668,
0.788888888888889
]
centroid2 = [
0.6038461538461538, 0.29865384615384616, 0.6217307692307692,
0.5455769230769231
]
introcs.assert_float_lists_equal(centroid0, cluster0.getCentroid())
introcs.assert_float_lists_equal(centroid1, cluster1.getCentroid())
introcs.assert_float_lists_equal(centroid2, cluster2.getCentroid())
assert_point_sets_equal(contents0, cluster0.getContents())
assert_point_sets_equal(contents1, cluster1.getContents())
assert_point_sets_equal(contents2, cluster2.getContents())
print(' Method Algorithm.step looks okay')
print(' Part C of class Algorithm appears correct')
print()
def test_cluster_b():
"""
Tests Part B of the Cluster class assignment.
"""
print(' Testing Part B of class Cluster')
# A dataset with four points
items = [[1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0],
[0.0, 0.0, 1.0]]
dset = a6dataset.Dataset(3, items)
# Create some clusters
cluster1 = a6cluster.Cluster(dset, [0.0, 0.0, 0.2])
cluster2 = a6cluster.Cluster(dset, [0.5, 0.5, 0.0])
cluster3 = a6cluster.Cluster(dset, [0.0, 0.0, 0.5])
# TEST CASE 1 (distance)
dist = cluster2.distance([1.0, 0.0, -1.0])
introcs.assert_floats_equal(1.22474487139, dist)
# TEST CASE 2 (distance)
dist = cluster2.distance([0.5, 0.5, 0.0])
introcs.assert_floats_equal(0.0, dist)
# TEST CASE 3 (distance)
dist = cluster3.distance([0.5, 0.0, 0.5])
introcs.assert_floats_equal(0.5, dist)
print(' Method Cluster.distance() looks okay')
# Add some indices
cluster1.addIndex(0)
cluster1.addIndex(1)
cluster2.addIndex(0)
cluster2.addIndex(1)
cluster3.addIndex(0)
cluster3.addIndex(1)
cluster3.addIndex(2)
# TEST CASE 1 (radius)
rads = cluster1.getRadius()
introcs.assert_floats_equal(1.0198039, rads)
# TEST CASE 2 (radius)
rads = cluster2.getRadius()
introcs.assert_floats_equal(0.7071068, rads)
# TEST CASE 3 (radius)
rads = cluster3.getRadius()
introcs.assert_floats_equal(1.1180340, rads)
print(' Method Cluster.getRadius() looks okay')
# TEST CASE 1 (updateCentroid): centroid remains the same
stable = cluster2.update()
introcs.assert_float_lists_equal([0.5, 0.5, 0.0], cluster2.getCentroid())
introcs.assert_true(stable)
# TEST CASE 2 (updateCentroid): centroid changes
cluster2.addIndex(2)
cluster2.addIndex(3)
stable = cluster2.update()
introcs.assert_float_lists_equal([0.25, 0.25, 0.25],
cluster2.getCentroid())
introcs.assert_false(stable)
# updating again without changing points: centroid stable
stable = cluster2.update()
introcs.assert_float_lists_equal([0.25, 0.25, 0.25],
cluster2.getCentroid())
introcs.assert_true(stable)
print(' Method Cluster.update() looks okay')
print(' Part B of class Cluster appears correct')
print()
def test_crossout():
"""
Test procedure for function crossout().
Note the use of assert_float_lists_equal for testing (nested) lists
of floats.
"""
print('Testing crossout()')
table = [[0.1, 0.3, 0.5], [0.6, 0.2, 0.7], [1.5, 2.3, 0.4]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.crossout(table, 1, 2)
introcs.assert_float_lists_equal([[0.1, 0.3], [1.5, 2.3]], result)
introcs.assert_float_lists_equal(orig, table)
result = funcs.crossout(table, 0, 0)
introcs.assert_float_lists_equal([[0.2, 0.7], [2.3, 0.4]], result)
introcs.assert_float_lists_equal(orig, table)
result = funcs.crossout(table, 2, 1)
introcs.assert_float_lists_equal([[0.1, 0.5], [0.6, 0.7]], result)
introcs.assert_float_lists_equal(orig, table)
table = [[0.1, 0.3, 0.5], [0.6, 0.2, 0.7], [1.5, 2.3, 0.4],
[0.1, 0.2, 0.3]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.crossout(table, 1, 2)
introcs.assert_float_lists_equal([[0.1, 0.3], [1.5, 2.3], [0.1, 0.2]],
result)
introcs.assert_float_lists_equal(orig, table)
table = [[0.1, 0.3, 0.5, 1.0], [0.6, 0.2, 0.7, 2.0], [1.5, 2.3, 0.4, 3.0]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.crossout(table, 1, 2)
introcs.assert_float_lists_equal([[0.1, 0.3, 1.0], [1.5, 2.3, 3.0]],
result)
introcs.assert_float_lists_equal(orig, table)
table = [[1, 2], [3, 4]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.crossout(table, 1, 0)
introcs.assert_float_lists_equal([[2]], result)
introcs.assert_float_lists_equal(orig, table)
result = funcs.crossout(table, 0, 1)
introcs.assert_float_lists_equal([[3]], result)
introcs.assert_float_lists_equal(orig, table)
table = [[5]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.crossout(table, 0, 0)
introcs.assert_equals([], result)
introcs.assert_float_lists_equal(orig, table)
def test_row_sums():
"""
Test procedure for function row_sums().
Note the use of assert_float_lists_equal for testing (nested) lists
of floats.
"""
print('Testing row_sums()')
table = [[0.7, 0.0, -0.7, 1.0, -0.9]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.row_sums(table)
introcs.assert_float_lists_equal([0.1], result)
introcs.assert_float_lists_equal(orig, table)
table = [[0.7], [0.1], [0.4], [-0.2], [0.6]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.row_sums(table)
introcs.assert_float_lists_equal([0.7, 0.1, 0.4, -0.2, 0.6], result)
introcs.assert_float_lists_equal(orig, table)
table = [[0.7, 0.0, -0.7], [0.1, 0.4, -0.6]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.row_sums(table)
introcs.assert_float_lists_equal([0.0, -0.1], result)
introcs.assert_float_lists_equal(orig, table)
table = [[0.7, 0.0, -0.7, 1.0, -0.9], [0.1, 0.4, -0.6, 0.9, 0.2],
[0.4, -0.1, -0.2, 0.1, -0.6], [-0.2, 0.2, 0.2, -0.3, -0.2],
[0.6, -0.1, -0.0, 0.8, 0.9]]
# Snapshot table to make sure we do not modify
orig = copy.deepcopy(table)
result = funcs.row_sums(table)
introcs.assert_float_lists_equal([0.1, 1.0, -0.4, -0.3, 2.2], result)
introcs.assert_float_lists_equal(orig, table)
