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test_submod_alg.py
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test_submod_alg.py
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import submod_alg as sa
import unittest
import numpy as np
places = 6
#---------------------- General Utilities ------------------------#
class TestEnergy(unittest.TestCase):
def test_empty(self):
V = [0,1,2]
E = []
w = []
labels = {1:0,2:0,0:0}
self.assertEqual(sa.energy(V,E,w,labels),0.)
def test_edges(self):
V = [0,1,2]
E = [[1,2],[0,1],[2,0]]
w = [1.0, 2.0, 0.5]
labels = {1:0,2:0,0:0}
self.assertEqual(sa.energy(V,E,w,labels),0.)
labels[1] = 1
self.assertEqual(sa.energy(V,E,w,labels),3.)
labels[2] = 2
self.assertEqual(sa.energy(V,E,w,labels),3.5)
def test_hyperedges(self):
V = [0,1,2,3]
E = [[0,1,2],[2,1,3]]
w = [1.0, 2.0]
labels = {1:0,2:0,0:0,3:0}
self.assertEqual(sa.energy(V,E,w,labels),0.)
labels[3] = 1
self.assertEqual(sa.energy(V,E,w,labels),2.)
labels[2] = 1
self.assertEqual(sa.energy(V,E,w,labels),3.)
class TestSubmodEval(unittest.TestCase):
def test_all0(self):
E0 = [[0,1],[1,2],[2,1,0]]
w0 = [1.0,2.0,0.5]
E1 = []
w1 = []
x = {0:0,1:0,2:0}
self.assertEqual(sa.submodEval(x,E0,E1,w0,w1),0.)
x = {0:1.,1:1.,2:1.}
self.assertEqual(sa.submodEval(x,E0,E1,w0,w1),0.)
x = {0:0.9,1:0.3,2:0}
self.assertAlmostEqual(sa.submodEval(x,E0,E1,w0,w1),1.725,places)
def test_all1(self):
E1 = [[0,1],[1,2],[2,1,0]]
w1 = [1.0,2.0,0.5]
E0 = []
w0 = []
x = {0:0,1:0,2:0}
self.assertEqual(sa.submodEval(x,E0,E1,w0,w1),3.5)
x = {0:1.,1:1.,2:1.}
self.assertEqual(sa.submodEval(x,E0,E1,w0,w1),0.0)
x = {0:0.9,1:0.3,2:0}
self.assertAlmostEqual(sa.submodEval(x,E0,E1,w0,w1),3.23,places)
def test_mix(self):
E0 = [[0,1],[1,2],[2,1,0]]
w0 = [1.0,2.0,0.5]
E1 = [[0,1],[1,2],[2,1,0]]
w1 = [1.0,2.0,0.5]
x = {0:0.9,1:0.3,2:0}
self.assertAlmostEqual(sa.submodEval(x,E0,E1,w0,w1),3.23+1.725,places)
#--------------------- Alpha Exp --------------------------------#
class TestAExpSubproblem(unittest.TestCase):
def test_empty_alpha(self):
VOrig = [1,2,3,4]
EOrig = [[1,2],[3,4],[2,3,4]]
wOrig = [1.0,2.0,3.0]
labels = {1:1,2:1,3:2,4:2}
alpha = 3
E0,w0,E1,w1 = sa.AExpSubproblem(VOrig,EOrig,wOrig,labels,alpha)
self.assertEqual(E0,[[1,2],[3,4]])
self.assertEqual(w0,[1.0,2.0])
self.assertEqual(E1,[[2,3,4]])
self.assertEqual(w1,[3.0])
def test_three_clusters(self):
VOrig = [1,2,3,4,5,6]
EOrig = [[1,2],[3,4],[2,3,4],[5,6],[5,1,4],[5,1,2]]
wOrig = [1.0,2.0,3.0,4.0,5.0,6.0]
labels = {1:1,2:1,3:2,4:2,5:3,6:3}
alpha = 3
E0,w0,E1,w1 = sa.AExpSubproblem(VOrig,EOrig,wOrig,labels,alpha)
self.assertEqual(E0,[[1,2],[3,4]])
self.assertEqual(w0,[1.0,2.0])
self.assertEqual(E1,[[2,3,4],[5,1,4],[5,1,2]])
self.assertEqual(w1,[3.0,5.0,6.0])
class TestAExpUpdate(unittest.TestCase):
def test_simple(self):
labels = {0:1,1:1,2:2,3:2,4:3}
alpha = 3
x = {0:0,1:0,2:0,3:0,4:0}
newlabels = {0:1,1:1,2:2,3:2,4:3}
self.assertEqual(sa.AExpUpdate(labels,x,alpha),newlabels)
x[3] = 1.
x[0] = 1.
newlabels = {0:3,1:1,2:2,3:3,4:3}
self.assertEqual(sa.AExpUpdate(labels,x,alpha),newlabels)
#--------------------- AB Swaps --------------------------------#
class TestABSubproblem(unittest.TestCase):
def test_empty_alpha(self):
VOrig = [1,2,3,4]
EOrig = [[1,2],[3,4],[2,3,4]]
wOrig = [1.0,2.0,3.0]
labels = {1:1,2:1,3:2,4:2}
alpha = 3
beta = 1
V,E0,w0 = sa.ABSubproblem(VOrig,EOrig,wOrig,labels,alpha,beta)
self.assertEqual(V,[1,2])
self.assertEqual(E0,[[1,2]])
self.assertEqual(w0,[1.0])
def test_larger_example(self):
VOrig = [1,2,3,4,5,6]
EOrig = [[1,2],[3,4],[2,3,4],[5,6],[5,1,4],[5,1,2]]
wOrig = [1.0,2.0,3.0,4.0,5.0,6.0]
labels = {1:1,2:1,3:2,4:2,5:3,6:3}
alpha = 3
beta = 1
V,E0,w0 = sa.ABSubproblem(VOrig,EOrig,wOrig,labels,alpha,beta)
self.assertEqual(V,[1,2,5,6])
self.assertEqual(E0,[[1,2],[5,6],[5,1,2]])
self.assertEqual(w0,[1.0,4.0,6.0])
class TestABUpdate(unittest.TestCase):
def test_simple(self):
labels = {1:1,2:1,3:2,4:2,5:3,6:3}
alpha = 3
beta = 1
x = {1:0,2:0,5:0,6:0}
newlabels = {1:1,2:1,3:2,4:2,5:1,6:1}
self.assertEqual(sa.ABUpdate(labels,x,alpha,beta),newlabels)
x[2] = 1.
x[6] = 1.
newlabels = {1:1,2:3,3:2,4:2,5:1,6:3}
self.assertEqual(sa.ABUpdate(labels,x,alpha,beta),newlabels)
#--------------------- Submod Alg --------------------------------#
class TestSubmodAlg(unittest.TestCase):
def test_AB_simple(self):
VOrig = [1,2,3,4,5,6]
EOrig = [[1,3],[1,4],[1,5],[1,6],[2,3],[2,4],[2,5],[2,6],[3,5],[3,6],
[4,5],[4,6],[1,3,5],[2,4,6],[1,3,6]]
wOrig = [1.0 for _ in range(15)]
labels = {1:1,2:1,3:1,4:1,5:2,6:2}
alpha = 3
beta = 1
moveType = 'ab'
newlabels = sa.submodAlg(VOrig,EOrig,wOrig,labels,moveType,alpha,beta)
self.assertEqual(newlabels[5],2)
self.assertEqual(newlabels[6],2)
self.assertEqual(newlabels[1],newlabels[2])
self.assertEqual(newlabels[3],newlabels[4])
self.assertIn(newlabels[1],[1,3])
self.assertIn(newlabels[3],[1,3])
self.assertNotEqual(newlabels[1],newlabels[3])
labels = {1:1,2:3,3:1,4:3,5:2,6:2}
alpha = 3
beta = 1
newlabels = sa.submodAlg(VOrig,EOrig,wOrig,labels,moveType,alpha,beta)
self.assertEqual(newlabels[5],2)
self.assertEqual(newlabels[6],2)
self.assertEqual(newlabels[1],newlabels[2])
self.assertEqual(newlabels[3],newlabels[4])
self.assertIn(newlabels[1],[1,3])
self.assertIn(newlabels[3],[1,3])
self.assertNotEqual(newlabels[1],newlabels[3])
def test_AExp_simple(self):
VOrig = [1,2,3,4,5,6]
EOrig = [[1,3],[1,4],[1,5],[1,6],[2,3],[2,4],[2,5],[2,6],[3,5],[3,6],
[4,5],[4,6],[1,3,5],[2,4,6],[1,3,6]]
wOrig = [1.0 for _ in range(15)]
labels = {1:1,2:1,3:1,4:2,5:2,6:2}
alpha = 3
moveType = 'aexp'
newlabels = sa.submodAlg(VOrig,EOrig,wOrig,labels,moveType,alpha)
self.assertEqual(newlabels[5],2)
self.assertEqual(newlabels[6],2)
self.assertEqual(newlabels[1],1)
self.assertEqual(newlabels[2],1)
self.assertEqual(newlabels[3],3)
self.assertEqual(newlabels[4],3)
labels = {1:1,2:1,3:2,4:2,5:2,6:3}
alpha = 3
moveType = 'aexp'
newlabels = sa.submodAlg(VOrig,EOrig,wOrig,labels,moveType,alpha)
self.assertEqual(newlabels[5],3)
self.assertEqual(newlabels[6],3)
self.assertEqual(newlabels[1],1)
self.assertEqual(newlabels[2],1)
self.assertEqual(newlabels[3],2)
self.assertEqual(newlabels[4],2)
#--------------------- Local Search --------------------------------#
class TestLocalSearchSubmod(unittest.TestCase):
def test_AB_simple(self):
V = [1,2,3,4,5,6]
E = [[1,3],[1,4],[1,5],[1,6],[2,3],[2,4],[2,5],[2,6],[3,5],[3,6],
[4,5],[4,6],[1,3,5],[2,4,6],[1,3,6]]
w = [1.0 for _ in range(15)]
labels = {1:1,2:1,3:1,4:1,5:1,6:1}
moveType = 'ab'
k = 3
newlabels = sa.localSearchSubmod(V,E,w,k,labels,moveType)
self.assertEqual(newlabels[1],newlabels[2])
self.assertEqual(newlabels[3],newlabels[4])
self.assertEqual(newlabels[5],newlabels[6])
self.assertNotEqual(newlabels[1],newlabels[3])
self.assertNotEqual(newlabels[1],newlabels[5])
self.assertNotEqual(newlabels[3],newlabels[5])
labels = {1:1,2:2,3:0,4:1,5:1,6:2}
newlabels = sa.localSearchSubmod(V,E,w,k,labels,moveType)
self.assertEqual(newlabels[1],newlabels[2])
self.assertEqual(newlabels[3],newlabels[4])
self.assertEqual(newlabels[5],newlabels[6])
self.assertNotEqual(newlabels[1],newlabels[3])
self.assertNotEqual(newlabels[1],newlabels[5])
self.assertNotEqual(newlabels[3],newlabels[5])
def test_AExp_simple(self):
V = [1,2,3,4,5,6]
E = [[1,3],[1,4],[1,5],[1,6],[2,3],[2,4],[2,5],[2,6],[3,5],[3,6],
[4,5],[4,6],[1,3,5],[2,4,6],[1,3,6]]
w = [1.0 for _ in range(15)]
labels = {1:1,2:1,3:1,4:1,5:1,6:1}
moveType = 'aexp'
k = 3
newlabels = sa.localSearchSubmod(V,E,w,k,labels,moveType)
self.assertEqual(newlabels[1],newlabels[2])
self.assertEqual(newlabels[3],newlabels[4])
self.assertEqual(newlabels[5],newlabels[6])
self.assertNotEqual(newlabels[1],newlabels[3])
self.assertNotEqual(newlabels[1],newlabels[5])
self.assertNotEqual(newlabels[3],newlabels[5])
class TestLocalSearch(unittest.TestCase):
def test_simple(self):
V = [1,2,3,4,5,6]
E = [[1,3],[1,4],[1,5],[1,6],[2,3],[2,4],[2,5],[2,6],[3,5],[3,6],
[4,5],[4,6],[1,3,5],[2,4,6],[1,3,6]]
w = [1.0 for _ in range(15)]
labels = {1:1,2:1,3:1,4:1,5:1,6:1}
k = 3
newlabels = sa.localSearch(V,E,w,k,labels)
self.assertEqual(newlabels[1],newlabels[2])
self.assertEqual(newlabels[3],newlabels[4])
self.assertEqual(newlabels[5],newlabels[6])
self.assertNotEqual(newlabels[1],newlabels[3])
self.assertNotEqual(newlabels[1],newlabels[5])
self.assertNotEqual(newlabels[3],newlabels[5])
#labels = {1:1,2:2,3:0,4:1,5:1,6:2}
#labels = {i:np.random.randint(0, 3) for i in range(1,7)}
#newlabels = sa.localSearch(V,E,w,k,labels)
if __name__ == '__main__':
unittest.main()