def testdummy(self):
i=g.idx(g.symbol("i"),3)
j=g.idx(g.symbol("j"),3)
k=g.idx(g.symbol("k"),3)
l=g.idx(g.symbol("l"),3)
A=g.symbol("A")
B=g.symbol("B")
C=g.symbol("C")
e=g.indexed(A,i,j)*g.indexed(B,j,k)+g.indexed(C,k,l,i,l)
#can vary from run to run
#self.assertEqual(str(e),"C.k.l.i.l+B.j.k*A.i.j")
f=e.get_free_indices()
self.failUnless(type(f)==list)
self.failUnless(f==[i,k] or f==[k,i])
self.failUnless(str(f)=="[.i, .k]" or str(f)=="[.k, .i]")
mu=g.varidx(g.symbol("mu"),4)
nu=g.varidx(g.symbol("nu"),4)
rho=g.varidx(g.symbol("rho"),4)
sigma=g.varidx(g.symbol("sigma"),4)
e=g.indexed(A,mu,nu)*g.indexed(B,nu.toggle_variance(),rho)+\
g.indexed(C,mu,sigma,rho,sigma.toggle_variance())
self.failUnless(e.get_free_indices()==[mu,rho] or
e.get_free_indices()==[rho,mu])
e=g.indexed(A,mu,mu)
self.assertEqual(e.get_free_indices(),[mu])
self.assertNotEqual(e.get_free_indices(),[mu.toggle_variance()])
def testsubs(self):
mu=g.varidx(g.symbol("mu"),4)
nu=g.varidx(g.symbol("nu"),4,True)
A=g.symbol("A")
e=g.indexed(A,mu)
self.assertEqual(str(e),"A~mu")
self.assertEqual(str(e.subs(mu==nu)),"A.nu")
self.assertEqual(str(e.subs(mu==0)),"A~0")
def testvaridx3(self):
mu=g.varidx(g.symbol("mu"),4)
nu=g.varidx(g.symbol("nu"),4)
A=g.symbol("A")
self.assertEqual(str(g.indexed(A,mu,nu)),"A~mu~nu")
self.assertEqual(str(g.indexed(A,mu,nu.toggle_variance())),"A~mu.nu")
self.assertEqual(str(g.indexed(A,mu.toggle_variance(),nu)),"A.mu~nu")
self.failUnless(mu.is_contravariant())
self.failUnless(nu.is_contravariant())
def testlorentz(self):
mu=g.varidx(g.symbol("mu"),4)
e=g.delta_tensor(g.varidx(0,4),mu.toggle_variance())*\
g.lorentz_g(mu,g.varidx(0,4))
self.assertEqual(e.simplify_indexed(),1)
e=g.delta_tensor(g.varidx(0,4),mu.toggle_variance())*\
g.lorentz_g(mu,g.varidx(0,4),True)
self.assertEqual(e.simplify_indexed(),-1)
def testsimplify(self):
mu=g.varidx(g.symbol("mu"),4)
nu=g.varidx(g.symbol("nu"),4)
A=g.symbol("A")
e1=g.indexed(A,mu,mu.toggle_variance())
e2=g.indexed(A,nu,nu.toggle_variance())
self.assertNotEqual(e1,e2)
self.assertEqual((e1-e2).simplify_indexed(),0)
def testmetric(self):
mu=g.varidx(g.symbol("mu"),4)
nu=g.varidx(g.symbol("nu"),4)
rho=g.varidx(g.symbol("rho"),4)
A=g.symbol("A")
e=g.metric_tensor(mu,nu)*g.indexed(A,nu.toggle_variance(),rho)
self.assertEqual(e.simplify_indexed(),g.indexed(A,mu,rho))
self.assertNotEqual(e.simplify_indexed(),g.indexed(A,nu,rho))
e=g.delta_tensor(mu,nu.toggle_variance())*g.metric_tensor(nu,rho)
self.assertEqual(e.simplify_indexed(),g.metric_tensor(mu,rho))
e=g.metric_tensor(mu.toggle_variance(),nu.toggle_variance())*\
g.metric_tensor(nu,rho)
self.assertEqual(e.simplify_indexed(),
g.delta_tensor(mu.toggle_variance(),rho))
e=g.metric_tensor(nu.toggle_variance(),rho.toggle_variance())*\
g.metric_tensor(mu,nu)*(g.delta_tensor(mu.toggle_variance(),rho)+\
g.indexed(A,mu.toggle_variance(),rho))
self.assertEqual((e-(4+g.indexed(A,rho.toggle_variance(),rho))).
simplify_indexed(),0)
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 testvaridx1(self):
i=g.varidx(g.symbol("i"),3)
j=g.varidx(g.symbol("j"),3)
A=g.symbol("A")
self.assertEqual(str(g.indexed(A,i,j)),"A~i~j")
print 'Start preparing ' + file_name
MyTestGenerator = TestGenerator()
MyListCreator = listcreator.ListCreator()
dirac_gamma = swiginac.dirac_gamma
dirac_slash = swiginac.dirac_slash
dirac_gamma5 = swiginac.dirac_gamma5
dirac_gammaR = swiginac.dirac_gammaR
dirac_gammaL = swiginac.dirac_gammaL
simplify_indexed = swiginac.simplify_indexed
dirac_trace = swiginac.dirac_trace
D = swiginac.symbol("D")
i = swiginac.varidx(swiginac.symbol("i"), 4)
j = swiginac.varidx(swiginac.symbol("j"), 4)
k = swiginac.varidx(swiginac.symbol("k"), 4)
l = swiginac.varidx(swiginac.symbol("l"), 4)
m = swiginac.varidx(swiginac.symbol("m"), 4)
n = swiginac.varidx(swiginac.symbol("n"), 4)
o = swiginac.varidx(swiginac.symbol("o"), 4)
p = swiginac.varidx(swiginac.symbol("p"), 4)
iD = swiginac.varidx(swiginac.symbol("iD"), D)
jD = swiginac.varidx(swiginac.symbol("jD"), D)
kD = swiginac.varidx(swiginac.symbol("kD"), D)
lD = swiginac.varidx(swiginac.symbol("lD"), D)
mD = swiginac.varidx(swiginac.symbol("mD"), D)
print 'Start preparing ' + file_name
MyTestGenerator = TestGenerator()
MyListCreator = listcreator.ListCreator()
dirac_gamma = swiginac.dirac_gamma
dirac_slash = swiginac.dirac_slash
dirac_gamma5 = swiginac.dirac_gamma5
dirac_gammaR = swiginac.dirac_gammaR
dirac_gammaL = swiginac.dirac_gammaL
simplify_indexed = swiginac.simplify_indexed
dirac_trace = swiginac.dirac_trace
D = swiginac.symbol("D")
i = swiginac.varidx(swiginac.symbol("i"), 4)
j = swiginac.varidx(swiginac.symbol("j"), 4)
k = swiginac.varidx(swiginac.symbol("k"), 4)
l = swiginac.varidx(swiginac.symbol("l"), 4)
m = swiginac.varidx(swiginac.symbol("m"), 4)
n = swiginac.varidx(swiginac.symbol("n"), 4)
o = swiginac.varidx(swiginac.symbol("o"), 4)
p = swiginac.varidx(swiginac.symbol("p"), 4)
iD = swiginac.varidx(swiginac.symbol("iD"), D)
jD = swiginac.varidx(swiginac.symbol("jD"), D)
kD = swiginac.varidx(swiginac.symbol("kD"), D)
lD = swiginac.varidx(swiginac.symbol("lD"), D)
mD = swiginac.varidx(swiginac.symbol("mD"), D)