def testeps(self):
mu=g.varidx(g.symbol("mu"),4)
nu=g.varidx(g.symbol("nu"),4)
rho=g.varidx(g.symbol("rho"),4)
sig=g.varidx(g.symbol("sig"),4)
lam=g.varidx(g.symbol("lam"),4)
bet=g.varidx(g.symbol("bet"),4)
e=g.lorentz_eps(mu,nu,rho,sig)*g.lorentz_eps(mu.toggle_variance(),
nu.toggle_variance(),lam,bet)
g.simplify_indexed(e)
i=g.idx(g.symbol("i"),3)
j=g.idx(g.symbol("j"),3)
k=g.idx(g.symbol("k"),3)
A=g.symbol("A")
B=g.symbol("B")
e=g.epsilon_tensor(i,j,k)*g.indexed(A,j)*g.indexed(B,k)
self.assertNotEqual(g.simplify_indexed(e),0)
e=g.epsilon_tensor(i,j,k)*g.indexed(A,j)*g.indexed(A,k)
self.assertEqual(g.simplify_indexed(e),0)
def testsimplify(self):
i=g.idx(g.symbol("i"),3)
j=g.idx(g.symbol("i"),3)
A=g.symbol("A")
B=g.symbol("B")
C=g.symbol("C")
sp=g.scalar_products()
sp.add(A,B,0)
sp.add(A,C,0)
sp.add(A,A,4)
e=g.indexed(A+B,i)*g.indexed(A+C,i)
self.assertEqual(e.expand(g.expand_options.expand_indexed).
simplify_indexed(sp),4+g.indexed(C,i)*g.indexed(B,i))
self.assertEqual(g.simplify_indexed(e.expand(g.expand_options.
expand_indexed),sp),4+g.indexed(C,i)*g.indexed(B,i))
self.assertNotEqual(g.simplify_indexed(e.expand(g.expand_options.
expand_indexed)),4+g.indexed(C,i)*g.indexed(B,i))
self.assertNotEqual(g.simplify_indexed(e.expand(g.expand_options.
expand_indexed),sp),5+g.indexed(C,i)*g.indexed(B,i))
self.assertNotEqual(g.simplify_indexed(e.expand(g.expand_options.
expand_indexed),sp),4+g.indexed(C,i)*g.indexed(B,j))
