def test_relative_complex_0_whitney(self):
whitney = self.x**2*self.y-self.z**2
logdf = LogarithmicDifferentialForms(whitney)
homology = logdf.chain_complex("relative",None,0)
homology_size = {}
for i,c in homology.iteritems():
homology_size[i] = len(c)
self.assertEqual(homology_size,{0:1,1:0,2:0,3:0})
def test_equi_complex_whitney(self):
whitney = self.x**2*self.y - self.z**2
logdf = LogarithmicDifferentialForms(whitney)
complex = logdf.chain_complex("equivarient")
complex_size = {}
for i,c in complex.iteritems():
complex_size[i] = len(c)
self.assertEqual(complex_size,{0:1,1:1,2:1,3:1})
def test_relative_complex_0_crossing(self):
crossing = self.x*self.y*self.z
logdf = LogarithmicDifferentialForms(crossing)
homology = logdf.chain_complex("relative",None,0)
homology_size = {}
for i,c in homology.iteritems():
homology_size[i] = len(c)
self.assertEqual(homology_size,{0:1,1:2,2:1,3:0})
def test_equi_complex_crossing(self):
crossing = self.x*self.y*self.z
logdf = LogarithmicDifferentialForms(crossing)
complex = logdf.chain_complex("equivarient")
complex_size = {}
for i,c in complex.iteritems():
complex_size[i] = len(c)
self.assertEqual(complex_size,{0:1,1:3,2:4,3:4})
