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diff --git a/Models/Feynrules/python/ufo2peg/check_lorentz.py b/Models/Feynrules/python/ufo2peg/check_lorentz.py
--- a/Models/Feynrules/python/ufo2peg/check_lorentz.py
+++ b/Models/Feynrules/python/ufo2peg/check_lorentz.py
@@ -1,1617 +1,1622 @@
import itertools,cmath,re,sys
from .helpers import SkipThisVertex,extractAntiSymmetricIndices,def_from_model
from .converter import py2cpp
from .lorentzparser import parse_lorentz
import sympy,string
from string import Template
from sympy import Matrix,Symbol
def compare(a,b) :
num=abs(a-b)
den=abs(a+b)
if(den == 0. and 1e-10) :
return True
return num/den<1e-10
def evaluate(x,model,parmsubs):
import cmath
return eval(x,
{'cmath':cmath,
'complexconjugate':model.function_library.complexconjugate},
parmsubs)
# ordering for EW VVV vertices
def VVVordering(vertex) :
pattern = "if((p1->id()==%s&&p2->id()==%s&&p3->id()==%s)"+\
"||(p1->id()==%s&&p2->id()==%s&&p3->id()==%s)||"+\
"(p1->id()==%s&&p2->id()==%s&&p3->id()==%s)) {norm(-norm());}"
ordering = pattern%(vertex.particles[1].pdg_code,
vertex.particles[0].pdg_code,
vertex.particles[2].pdg_code,
vertex.particles[0].pdg_code,
vertex.particles[2].pdg_code,
vertex.particles[1].pdg_code,
vertex.particles[2].pdg_code,
vertex.particles[1].pdg_code,
vertex.particles[0].pdg_code)
return ordering
def tensorCouplings(vertex,value,prefactors,L,lorentztag,pos,all_couplings,order) :
# split the structure into its different terms for analysis
ordering=""
structures = extractStructures(L)
if(lorentztag == 'SST') :
terms=[['P(1003,2)','P(2003,1)'],
['P(1003,1)','P(2003,2)'],
['P(-1,1)','P(-1,2)','Metric(1003,2003)'],
['Metric(1003,2003)']]
signs=[1.,1.,-1.,-1.]
new_couplings=[False]*len(terms)
elif(lorentztag == 'FFT' ) :
terms=[['P(2003,1)','Gamma(1003,2,1)'],
['P(2003,2)','Gamma(1003,2,1)'],
['P(1003,1)','Gamma(2003,2,1)'],
['P(1003,2)','Gamma(2003,2,1)'],
['P(-1,1)','Gamma(-1,2,1)','Metric(1003,2003)'],
['P(-1,2)','Gamma(-1,2,1)','Metric(1003,2003)'],
['Metric(1003,2003)']]
signs=[1.,-1.,1.,-1.,-0.5,0.5,1.]
new_couplings=[False]*3*len(terms)
elif(lorentztag == 'VVT' ) :
terms=[['P(-1,1)','P(-1,2)','Metric(1,2003)','Metric(2,1003)'], # from C term
['P(-1,1)','P(-1,2)','Metric(1,1003)','Metric(2,2003)'], # from C term
['P(-1,1)','P(-1,2)','Metric(1,2)','Metric(1003,2003)'], # from C term
['P(1,2)','P(2,1)','Metric(1003,2003)'], # from D term (sym)
['P(1,2)','P(2003,1)','Metric(2,1003)'], # 1st term
['P(1,2)','P(1003,1)','Metric(2,2003)'], # 1st swap
['P(2,1)','P(2003,2)','Metric(1,1003)'], # 2nd term
['P(2,1)','P(1003,2)','Metric(1,2003)'], # 2nd swap
['P(1003,2)','P(2003,1)','Metric(1,2)'], # 3rd term
['P(1003,1)','P(2003,2)','Metric(1,2)'], # 3rd swap
['Metric(1,2003)','Metric(2,1003)'], # from mass term
['Metric(1,1003)','Metric(2,2003)'], # from mass term
['Metric(1,2)','Metric(1003,2003)'], # from mass term
['P(1,1)','P(2,1)','Metric(1003,2003)'], # gauge terms
['P(1,2)','P(2,2)','Metric(1003,2003)'], # gauge terms
['P(1,1)','P(2,2)','Metric(1003,2003)'], # gauge terms
['P(1003,1)','P(1,1)','Metric(2,2003)'], # gauge terms
['P(1003,2)','P(2,2)','Metric(1,2003)'], # gauge terms
['P(2003,1)','P(1,1)','Metric(2,1003)'], # gauge terms
['P(2003,2)','P(2,2)','Metric(1,1003)'], # gauge terms
]
signs=[1.,1.,-1.,1.,-1.,-1.,-1.,-1.,1.,1.,1.,1.,-1.,1.,1.,0.25,-1.,-1.,-1.,-1.]
new_couplings=[False]*len(terms)
elif(lorentztag == 'FFVT' ) :
terms = [['Gamma(2004,2,1)','Metric(3,1004)'],
['Gamma(1004,2,1)','Metric(3,2004)'],
['Gamma(3,2,1)','Metric(1004,2004)'],
['Gamma(2004,2,-1)','Metric(3,1004)'],
['Gamma(1004,2,-1)','Metric(3,2004)'],
['Gamma(3,2,-1)','Metric(1004,2004)']]
signs=[1.,1.,-0.5,1.,1.,-0.5]
new_couplings=[False]*3*len(terms)
elif(lorentztag == 'VVVT' ) :
# the F(mu nu,rho sigma lambda) terms first
terms = [['P(2004,2)','Metric(1,1004)','Metric(2,3)'],['P(2004,3)','Metric(1,1004)','Metric(2,3)'],
['P(1004,2)','Metric(1,2004)','Metric(2,3)'],['P(1004,3)','Metric(1,2004)','Metric(2,3)'],
['P(2004,3)','Metric(1,3)','Metric(2,1004)'],['P(2004,1)','Metric(1,3)','Metric(2,1004)'],
['P(1004,3)','Metric(1,3)','Metric(2,2004)'],['P(1004,1)','Metric(1,3)','Metric(2,2004)'],
['P(2004,1)','Metric(1,2)','Metric(3,1004)'],['P(2004,2)','Metric(1,2)','Metric(3,1004)'],
['P(1004,1)','Metric(1,2)','Metric(3,2004)'],['P(1004,2)','Metric(1,2)','Metric(3,2004)'],
['P(3,1)','Metric(1,2004)','Metric(2,1004)'],['P(3,2)','Metric(1,2004)','Metric(2,1004)'],
['P(3,1)','Metric(1,1004)','Metric(2,2004)'],['P(3,2)','Metric(1,1004)','Metric(2,2004)'],
['P(3,1)','Metric(1,2)','Metric(1004,2004)'],['P(3,2)','Metric(1,2)','Metric(1004,2004)'],
['P(2,3)','Metric(1,2004)','Metric(3,1004)'],['P(2,1)','Metric(1,2004)','Metric(3,1004)'],
['P(2,3)','Metric(1,1004)','Metric(3,2004)'],['P(2,1)','Metric(1,1004)','Metric(3,2004)'],
['P(2,3)','Metric(1,3)','Metric(1004,2004)'],['P(2,1)','Metric(1,3)','Metric(1004,2004)'],
['P(1,2)','Metric(2,2004)','Metric(3,1004)'],['P(1,3)','Metric(2,2004)','Metric(3,1004)'],
['P(1,2)','Metric(2,1004)','Metric(3,2004)'],['P(1,3)','Metric(2,1004)','Metric(3,2004)'],
['P(1,2)','Metric(2,3)','Metric(1004,2004)'],['P(1,3)','Metric(2,3)','Metric(1004,2004)']]
signs = [1.,-1.,1.,-1.,1.,-1.,1.,-1.,1.,-1.,1.,-1.,
1.,-1.,1.,-1.,-1.,1.,1.,-1.,1.,-1.,-1.,1.,1.,-1.,1.,-1.,-1.,1.]
new_couplings=[False]*len(terms)
l = lambda c: len(pos[c])
if l(8)!=3 :
ordering = VVVordering(vertex)
# unknown
else :
raise Exception('Unknown data type "%s".' % lorentztag)
iterm=0
try :
for term in terms:
for perm in itertools.permutations(term):
label = '*'.join(perm)
for istruct in range(0,len(structures)) :
if label in structures[istruct] :
reminder = structures[istruct].replace(label,'1.',1)
loc=iterm
if(reminder.find("ProjM")>=0) :
reminder=re.sub("\*ProjM\(.*,.\)","",reminder)
loc+=len(terms)
elif(reminder.find("ProjP")>=0) :
reminder=re.sub("\*ProjP\(.*,.\)","",reminder)
loc+=2*len(terms)
structures[istruct] = "Done"
val = eval(reminder, {'cmath':cmath} )*signs[iterm]
if(new_couplings[loc]) :
new_couplings[loc] += val
else :
new_couplings[loc] = val
iterm+=1
except :
SkipThisVertex()
# check we've handled all the terms
for val in structures:
if(val!="Done") :
raise SkipThisVertex()
# special for FFVT
if(lorentztag=="FFVT") :
t_couplings=new_couplings
new_couplings=[False]*9
for i in range(0,9) :
j = i+3*(i/3)
k = i+3+3*(i/3)
if( not t_couplings[j]) :
new_couplings[i] = t_couplings[k]
else :
new_couplings[i] = t_couplings[j]
# set the couplings
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup]) :
new_couplings[icoup] = '(%s) * (%s) *(%s)' % (new_couplings[icoup],prefactors,value)
if(len(all_couplings)==0) :
all_couplings=new_couplings
else :
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup] and all_couplings[icoup]) :
all_couplings[icoup] = '(%s) + (%s) ' % (new_couplings[icoup],all_couplings[icoup])
elif(new_couplings[icoup]) :
all_couplings[icoup] = new_couplings[icoup]
# return the results
return (ordering,all_couplings)
def processTensorCouplings(lorentztag,vertex,model,parmsubs,all_couplings) :
# check for fermion vertices (i.e. has L/R couplings)
fermions = "FF" in lorentztag
# test and process the values of the couplings
tval = [False]*3
value = [False]*3
# loop over the colours
for icolor in range(0,len(all_couplings)) :
lmax = len(all_couplings[icolor])
if(fermions) : lmax /=3
# loop over the different terms
for ix in range(0,lmax) :
test = [False]*3
# normal case
if( not fermions ) :
test[0] = all_couplings[icolor][ix]
else :
# first case vector but no L/R couplings
if( not all_couplings[icolor][lmax+ix] and
not all_couplings[icolor][2*lmax+ix] ) :
test[0] = all_couplings[icolor][ix]
# special for mass terms and massless particles
if(not all_couplings[icolor][ix]) :
code = abs(vertex.particles[0].pdg_code)
if(ix==6 and code ==12 or code ==14 or code==16) :
continue
else :
raise SkipThisVertex()
# second case L/R couplings
elif( not all_couplings[icolor][ix] ) :
# L=R, replace with vector
if(all_couplings[icolor][lmax+ix] ==
all_couplings[icolor][2*lmax+ix]) :
test[0] = all_couplings[icolor][lmax+ix]
else :
test[1] = all_couplings[icolor][lmax+ix]
test[2] = all_couplings[icolor][2*lmax+ix]
else :
raise SkipThisVertex()
# special handling of mass terms
# scalar divide by m**2
if((ix==3 and lorentztag=="SST") or
( ix>=10 and ix<=12 and lorentztag=="VVT" )) :
for i in range(0,len(test)) :
if(test[i]) :
test[i] = '(%s)/%s**2' % (test[i],vertex.particles[0].mass.value)
# fermions divide by 4*m
elif(ix==6 and lorentztag=="FFT" and
float(vertex.particles[0].mass.value) != 0. ) :
for i in range(0,len(test)) :
if(test[i]) :
test[i] = '-(%s)/%s/4' % (test[i],vertex.particles[0].mass.value)
# set values on first pass
if(not tval[0] and not tval[1] and not tval[2]) :
value = test
for i in range(0,len(test)) :
if(test[i]) : tval[i] = evaluate(test[i],model,parmsubs)
else :
for i in range(0,len(test)) :
if(not test[i] and not tval[i]) :
continue
if(not test[i] or not tval[i]) :
# special for mass terms and vectors
if(lorentztag=="VVT" and ix >=10 and ix <=12 and
float(vertex.particles[0].mass.value) == 0. ) :
continue
# special for vector gauge terms
if(lorentztag=="VVT" and ix>=13) :
continue
raise SkipThisVertex()
tval2 = evaluate(test[i],model,parmsubs)
if(abs(tval[i]-tval2)>1e-6) :
# special for fermion mass term if fermions massless
if(lorentztag=="FFT" and ix ==6 and tval2 == 0. and
float(vertex.particles[0].mass.value) == 0. ) :
continue
raise SkipThisVertex()
# simple clean up
for i in range(0,len(value)):
if(value[i]) :
value[i] = value[i].replace("(1.0) * ","").replace(" * (1)","")
# put everything together
coup_left = 0.
coup_right = 0.
coup_norm = 0.
if(lorentztag == "SST" or lorentztag == "VVT" or
lorentztag == "VVVT" or lorentztag == "FFT" ) :
coup_norm = value[0]
if(value[1] or value[2]) :
raise SkipThisVertex()
elif(lorentztag=="FFVT") :
if(not value[1] and not value[2]) :
coup_norm = value[0]
coup_left = "1."
coup_right = "1."
elif(not value[0]) :
coup_norm = "1."
if(value[1] and value[2]) :
coup_left = value[1]
coup_right = value[2]
elif(value[1]) :
coup_left = value[1]
coup_right = "0."
elif(value[2]) :
coup_left = "0."
coup_right = value[2]
else :
raise SkipThisVertex()
else :
raise SkipThisVertex()
else :
raise SkipThisVertex()
# return the answer
return (coup_left,coup_right,coup_norm)
def extractStructures(L) :
structure1 = L.structure.split()
structures =[]
sign=''
for struct in structure1 :
if(struct=='+') :
continue
elif(struct=='-') :
sign='-'
else :
structures.append(sign+struct.strip())
sign=''
return structures
def changeSign(sign1,sign2) :
if((sign1=="+" and sign2=="+") or\
(sign1=="-" and sign2=="-")) :
return "+"
else :
return "-"
def epsilonOrder(eps) :
terms,sign = extractAntiSymmetricIndices(eps,"Epsilon(")
return (sign,"Epsilon(%s,%s,%s,%s)" % (terms[0],terms[1],terms[2],terms[3]))
def VVSEpsilon(couplings,struct) :
if(struct.find("Epsilon")<0) :
return
fact=""
sign="+"
if(struct[-1]==")") :
fact=struct.split("(")[0]
if(fact.find("Epsilon")>=0) :
fact=""
else :
struct=struct.split("(",1)[1][:-1]
if(fact[0]=="-") :
sign="-"
fact=fact[1:]
split = struct.split("*")
# find the epsilon
eps=""
for piece in split :
if(piece.find("Epsilon")>=0) :
eps=piece
split.remove(piece)
break
# and any prefactors
for piece in split :
if(piece.find("P(")<0) :
split.remove(piece)
if(piece[0]=="+" or piece[0]=="-") :
sign=changeSign(sign,piece[0])
piece=piece[1:]
if(fact=="") :
fact=piece
else :
fact = "( %s ) * ( %s )" % (fact , piece)
# now sort out the momenta
for piece in split :
terms=piece.split(",")
terms[0]=terms[0].strip("P(")
terms[1]=terms[1].strip(")")
eps=eps.replace(terms[0],"P%s"%terms[1])
(nsign,eps)=epsilonOrder(eps)
if(nsign>0) : sign=changeSign(sign,"-")
if(fact=="") : fact="1."
if(eps!="Epsilon(1,2,P1,P2)") :
return
if(couplings[6]==0.) :
couplings[6] = "( %s%s )" % (sign,fact)
else :
couplings[6] = "( %s ) + ( %s%s )" % (couplings[6],sign,fact)
def scalarVectorCouplings(value,prefactors,L,lorentztag,all_couplings,order) :
# set up the types of term we are looking for
if(lorentztag=="VVS") :
couplings=[0.,0.,0.,0.,0.,0.,0.]
terms=[['P(-1,%s)' % order[0],
'P(-1,%s)' % order[1],
'Metric(%s,%s)' %(order[0],order[1])],
['P(1,%s)' % order[0],
'P(2,%s)' % order[0]],
['P(1,%s)' % order[0],
'P(2,%s)' % order[1]],
['P(1,%s)' % order[1],
'P(2,%s)' % order[0]],
['P(1,%s)' % order[1],
'P(2,%s)' % order[1]],
['Metric(%s,%s)'%(order[0],order[1])]]
elif(lorentztag=="VVSS") :
couplings=[0.]
terms=[['Metric(%s,%s)' % (order[0],order[1])]]
elif(lorentztag=="VSS"):
couplings=[0.,0.]
terms=[['P(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[0],order[1])]]
# extract the lorentz structures
structures = extractStructures(L)
# handle the scalar couplings
itype=-1
try :
for term in terms:
itype+=1
for perm in itertools.permutations(term):
label = '*'.join(perm)
for istruct in range(0,len(structures)) :
if label in structures[istruct] :
reminder = structures[istruct].replace(label,'1.',1)
couplings[itype]+=eval(reminder, {'cmath':cmath} )
structures[istruct]='Done'
except :
raise SkipThisVertex()
# special for VVS and epsilon
# handle the pseudoscalar couplings
for struct in structures :
if(struct != "Done" ) :
if(lorentztag=="VVS") :
VVSEpsilon(couplings,struct)
else :
raise SkipThisVertex()
# put it all together
if(len(all_couplings)==0) :
for ic in range(0,len(couplings)) :
if(couplings[ic]!=0.) :
all_couplings.append('(%s) * (%s) * (%s)' % (prefactors,value,couplings[ic]))
else :
all_couplings.append(False)
else :
for ic in range(0,len(couplings)) :
if(couplings[ic]!=0. and all_couplings[ic]) :
all_couplings[ic] = '(%s) * (%s) * (%s) + (%s) ' % (prefactors,value,
couplings[ic],all_couplings[ic])
elif(couplings[ic]!=0) :
all_couplings[ic] = '(%s) * (%s) * (%s) ' % (prefactors,value,couplings[ic])
return all_couplings
def processScalarVectorCouplings(lorentztag,vertex,model,parmsubs,all_couplings,header,order) :
# check the values
tval = [False]*len(all_couplings[0])
value =[False]*len(all_couplings[0])
for icolor in range(0,len(all_couplings)) :
for ix in range(0,len(all_couplings[icolor])) :
if(not value[ix]) :
value[ix] = all_couplings[icolor][ix]
if(value[ix] and not tval[ix]) :
tval[ix] = evaluate(value[ix],model,parmsubs)
elif(value[ix]) :
tval2 = evaluate(all_couplings[icolor][0],model,parmsubs)
if(abs(tval[ix]-tval2)>1e-6) :
raise SkipThisVertex()
append = ""
symbols = set()
coup_norm=0.
if(lorentztag=="VVS") :
if(not value[0] and not value[1] and not value[2] and \
not value[3] and not value[4] and not value[6] and value[5]) :
coup_norm=value[5]
else :
for ix in range(0,len(value)) :
if(value[ix]) :
value[ix], sym = py2cpp(value[ix])
symbols |= sym
else :
value[ix]=0.
lorentztag = 'GeneralVVS'
header="kinematics(true);"
# g_mu,nv piece of coupling
if(value[5]!=0.) :
append +='a00( %s + Complex(( %s )* GeV2/invariant(1,2)));\n' % ( value[0],value[5])
else :
append +='a00( %s );\n' % value[0]
# other couplings
append += 'a11( %s );\n a12( %s );\n a21( %s );\n a22( %s );\n aEp( %s );\n' % \
( value[1],value[2],value[3],value[4],value[6] )
coup_norm="1."
elif(lorentztag=="VVSS") :
coup_norm = value[0]
elif(lorentztag=="VSS") :
if(abs(tval[0]+tval[1])>1e-6) :
for ix in range(0,len(value)) :
if(value[ix]) :
value[ix], sym = py2cpp(value[ix])
symbols |= sym
else :
value[ix]=0.
coup_norm = "1."
append = 'if(p2->id()==%s) { a( %s ); b( %s);}\n else { a( %s ); b( %s);}' \
% (vertex.particles[order[1]-1].pdg_code,
value[0],value[1],value[1],value[0])
else :
coup_norm = value[1]
append = 'if(p2->id()!=%s){norm(-norm());}' \
% vertex.particles[order[1]-1].pdg_code
# return the answer
return (coup_norm,append,lorentztag,header,symbols)
def getIndices(term) :
if(term[0:2]=="P(") :
indices = term.strip(")").strip("P(").split(",")
mom = int(indices[1])
index = int(indices[0])
return (True,mom,index)
else :
return (False,0,0)
def lorentzScalar(vertex,L) :
dotProduct = """(invariant( i[{i1}], i[{i2}] )/GeV2)"""
structures=L.structure.split()
output="("
for struct in structures:
if(struct=="+" or struct=="-") :
output+=struct
continue
structure = struct.split("*")
worked = False
mom=-1
newTerm=""
while True :
term = structure[-1]
structure.pop()
(momentum,mom,index) = getIndices(term)
if( not momentum) : break
# look for the matching momenta
for term in structure :
(momentum,mom2,index2) = getIndices(term)
if(index2==index) :
structure.remove(term)
dot = dotProduct.format(i1=mom-1,i2=mom2-1)
if(newTerm=="") :
newTerm = dot
else :
newTerm = " ( %s) * ( %s ) " % (newTerm,dot)
if(len(structure)==0) :
worked = True
break
if(not worked) :
return False
else :
output+=newTerm
output+=")"
return output
kinematicsline = """\
long id [3]={{{id1},{id2},{id3}}};
long id2[3]={{p1->id(),p2->id(),p3->id()}};
unsigned int i[3];
for(unsigned int ix=0;ix<3;++ix) {{
for(unsigned int iy=0;iy<3;++iy) {{
if(id[ix]==id2[iy]) {{
i[ix] = iy;
id2[iy]=0;
break;
}}
}}
}}
double hw_kine1 = {kine};
"""
kinematicsline2 = """\
long id [4]={{{id1},{id2},{id3},{id4}}};
long id2[4]={{p1->id(),p2->id(),p3->id(),p4->id()}};
unsigned int i[4];
for(unsigned int ix=0;ix<4;++ix) {{
for(unsigned int iy=0;iy<4;++iy) {{
if(id[ix]==id2[iy]) {{
i[ix] = iy;
id2[iy]=0;
break;
}}
}}
}}
double hw_kine1 = {kine};
"""
kinematicsline3 ="""\
double hw_kine{i} = {kine};
"""
def scalarCouplings(vertex,value,prefactors,L,lorentztag,
all_couplings,prepend,header) :
try :
val = int(L.structure)
except :
output = lorentzScalar(vertex,L)
if( not output ) :
raise SkipThisVertex()
else :
if(prepend=="") :
if(lorentztag=="SSS") :
prepend = kinematicsline.format(id1=vertex.particles[0].pdg_code,
id2=vertex.particles[1].pdg_code,
id3=vertex.particles[2].pdg_code,
kine=output)
else :
prepend = kinematicsline2.format(id1=vertex.particles[0].pdg_code,
id2=vertex.particles[1].pdg_code,
id3=vertex.particles[2].pdg_code,
id4=vertex.particles[2].pdg_code,
kine=output)
value = "(%s) *(hw_kine1)" % value
else :
osplit=prepend.split("\n")
i=-1
while osplit[i]=="":
i=i-1
ikin=int(osplit[i].split("=")[0].replace("double hw_kine",""))+1
prepend +=kinematicsline3.format(kine=output,i=ikin)
value = "(%s) *(hw_kine%s)" % (value,ikin)
header="kinematics(true);"
if(len(all_couplings)==0) :
all_couplings.append('(%s) * (%s)' % (prefactors,value))
else :
all_couplings[0] = '(%s) * (%s) + (%s)' % (prefactors,value,all_couplings[0])
return (prepend, header,all_couplings)
def processScalarCouplings(model,parmsubs,all_couplings) :
tval = False
value = False
for icolor in range(0,len(all_couplings)) :
if(len(all_couplings[icolor])!=1) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][0]
m = re.findall('hw_kine[0-9]*', all_couplings[icolor][0])
if m:
for kine in m:
# bizarre number for checks, must be a better option
parmsubs[kine] = 987654321.
if(not tval) :
tval = evaluate(value,model,parmsubs)
else :
tval2 = evaluate(all_couplings[icolor][0],model,parmsubs)
if(abs(tval[i]-tval2)>1e-6) :
raise SkipThisVertex()
# cleanup and return the answer
return value.replace("(1.0) * ","").replace(" * (1)","")
def vectorCouplings(vertex,value,prefactors,L,lorentztag,pos,
all_couplings,append,qcd,order) :
structures=extractStructures(L)
terms=[]
signs=[]
if(lorentztag=="VVV") :
terms=[['P(%s,%s)' % (order[2],order[0]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[2],order[1]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[1],order[0]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[1],order[2]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[0],order[1]),'Metric(%s,%s)' % (order[1],order[2])],
['P(%s,%s)' % (order[0],order[2]),'Metric(%s,%s)' % (order[1],order[2])]]
signs=[1.,-1.,-1.,1.,1.,-1.]
elif(lorentztag=="VVVV") :
terms=[['Metric(%s,%s)' % (order[0],order[3]),'Metric(%s,%s)' % (order[1],order[2])],
['Metric(%s,%s)' % (order[0],order[2]),'Metric(%s,%s)' % (order[1],order[3])],
['Metric(%s,%s)' % (order[0],order[1]),'Metric(%s,%s)' % (order[2],order[3])]]
signs=[1.,1.,1.]
elif(lorentztag=="VVVS") :
terms=[['P(%s,%s)' % (order[2],order[0]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[2],order[1]),'Metric(%s,%s)' % (order[0],order[1])],
['P(%s,%s)' % (order[1],order[0]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[1],order[2]),'Metric(%s,%s)' % (order[0],order[2])],
['P(%s,%s)' % (order[0],order[1]),'Metric(%s,%s)' % (order[1],order[2])],
['P(%s,%s)' % (order[0],order[2]),'Metric(%s,%s)' % (order[1],order[2])],
['Epsilon(1,2,3,-1)','P(-1,1)'],['Epsilon(1,2,3,-1)','P(-1,2)'],
['Epsilon(1,2,3,-1)','P(-1,3)']]
signs=[1.,-1.,-1.,1.,1.,-1.,1.,1.,1.]
# extract the couplings
new_couplings = [False]*len(terms)
iterm=0
try :
for term in terms:
for perm in itertools.permutations(term):
label = '*'.join(perm)
for istruct in range(0,len(structures)) :
if label in structures[istruct] :
reminder = structures[istruct].replace(label,'1.',1)
structures[istruct] = "Done"
val = eval(reminder, {'cmath':cmath} )*signs[iterm]
if(new_couplings[iterm]) :
new_couplings[iterm] += val
else :
new_couplings[iterm] = val
iterm += 1
except :
raise SkipThisVertex()
# check we've handled all the terms
for val in structures:
if(val!="Done") :
raise SkipThisVertex()
# set the couplings
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup]) :
new_couplings[icoup] = '(%s) * (%s) *(%s)' % (new_couplings[icoup],prefactors,value)
if(len(all_couplings)==0) :
all_couplings=new_couplings
else :
for icoup in range(0,len(new_couplings)) :
if(new_couplings[icoup] and all_couplings[icoup]) :
all_couplings[icoup] = '(%s) * (%s) *(%s) + (%s) ' % (new_couplings[icoup],prefactors,value,all_couplings[icoup])
elif(new_couplings[icoup]) :
all_couplings[icoup] = new_couplings[icoup]
# ordering for VVV type vertices
if(len(pos[8]) != 3 and (lorentztag=="VVV" or lorentztag=="VVVS")) :
append = VVVordering(vertex)
return all_couplings,append
def processVectorCouplings(lorentztag,vertex,model,parmsubs,all_couplings,append,header) :
value = False
tval = False
if(lorentztag=="VVV") :
for icolor in range(0,len(all_couplings)) :
# loop over the different terms
for ix in range(0,len(all_couplings[icolor])) :
if(not value) :
value = all_couplings[icolor][ix]
tval = evaluate(value,model,parmsubs)
else :
tval2 = evaluate(all_couplings[icolor][ix],model,parmsubs)
if(abs(tval-tval2)>1e-6) :
raise SkipThisVertex()
elif(lorentztag=="VVVV") :
order=[]
colours = vertex.color
if(len(colours)==1) :
tval=[]
for i in range(0,3) :
tval.append(evaluate(all_couplings[0][i],model,parmsubs))
if(compare(tval[2],-2.*tval[1]) and
compare(tval[2],-2.*tval[0]) ) :
order=[0,1,2,3]
value = "0.5*(%s)" % all_couplings[0][2]
elif(compare(tval[1],-2.*tval[2]) and
compare(tval[1],-2.*tval[0]) ) :
order=[0,2,1,3]
value = "0.5*(%s)" % all_couplings[0][1]
elif(compare(tval[0],-2.*tval[2]) and
compare(tval[0],-2.*tval[1]) ) :
order=[0,3,1,2]
value = "0.5*(%s)" % all_couplings[0][0]
else:
raise SkipThisVertex()
pattern = \
"bool done[4]={false,false,false,false};\n" + \
" tcPDPtr part[4]={p1,p2,p3,p4};\n" + \
" unsigned int iorder[4]={0,0,0,0};\n" + \
" for(unsigned int ix=0;ix<4;++ix) {\n" + \
" if(!done[0] && part[ix]->id()==%s) {done[0]=true; iorder[%s] = ix; continue;}\n" + \
" if(!done[1] && part[ix]->id()==%s) {done[1]=true; iorder[%s] = ix; continue;}\n" + \
" if(!done[2] && part[ix]->id()==%s) {done[2]=true; iorder[%s] = ix; continue;}\n" + \
" if(!done[3] && part[ix]->id()==%s) {done[3]=true; iorder[%s] = ix; continue;}\n" + \
" }\n" + \
" setType(2);\n" + \
" setOrder(iorder[0],iorder[1],iorder[2],iorder[3]);"
append = pattern % ( vertex.particles[0].pdg_code,order[0],
vertex.particles[1].pdg_code,order[1],
vertex.particles[2].pdg_code,order[2],
vertex.particles[3].pdg_code,order[3] )
else :
for icolor in range(0,len(all_couplings)) :
col=colours[icolor].split("*")
if(len(col)==2 and "f(" in col[0] and "f(" in col[1]) :
sign = 1
for i in range(0,2) :
col[i],stemp = extractAntiSymmetricIndices(col[i],"f(")
for ix in range(0,len(col[i])): col[i][ix]=int(col[i][ix])
sign *=stemp
if(col[0][0]>col[1][0]) : col[0],col[1] = col[1],col[0]
# first flow
if(col[0][0]==1 and col[0][1]==2 and col[1][0] ==3 and col[1][1] == 4) :
if(all_couplings[icolor][2] or not all_couplings[icolor][0] or
not all_couplings[icolor][1]) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][1]
tval = evaluate(value,model,parmsubs)
tval2 = evaluate(all_couplings[icolor][0],model,parmsubs)
tval3 = -evaluate(all_couplings[icolor][1],model,parmsubs)
elif(col[0][0]==1 and col[0][1]==3 and col[1][0] ==2 and col[1][1] == 4) :
if(all_couplings[icolor][1] or not all_couplings[icolor][0] or
not all_couplings[icolor][2]) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][2]
tval = evaluate(value,model,parmsubs)
tval2 = evaluate(all_couplings[icolor][0],model,parmsubs)
tval3 = -evaluate(all_couplings[icolor][2],model,parmsubs)
elif(col[0][0]==1 and col[0][1]==4 and col[1][0] ==2 and col[1][1] == 3) :
if(all_couplings[icolor][0] or not all_couplings[icolor][1] or
not all_couplings[icolor][2]) :
raise SkipThisVertex()
if(not value) :
value = all_couplings[icolor][2]
tval = evaluate(value,model,parmsubs)
tval2 = evaluate(all_couplings[icolor][1],model,parmsubs)
tval3 = -evaluate(all_couplings[icolor][2],model,parmsubs)
else :
raise SkipThisVertex()
if(abs(tval-tval2)>1e-6 or abs(tval-tval3)>1e-6 ) :
raise SkipThisVertex()
append = 'setType(1);\nsetOrder(0,1,2,3);'
else :
print 'unknown colour structure for VVVV vertex'
raise SkipThisVertex()
elif(lorentztag=="VVVS") :
try :
# two distinct cases 0-5 = , 6-8=
if(all_couplings[0][0]) :
imin=0
imax=6
header="scalar(true);"
else :
imin=6
imax=9
header="scalar(false);"
for icolor in range(0,len(all_couplings)) :
# loop over the different terms
for ix in range(imin,imax) :
if(not value) :
value = all_couplings[icolor][ix]
tval = evaluate(value,model,parmsubs)
else :
tval2 = evaluate(value,model,parmsubs)
if(abs(tval-tval2)>1e-6) :
raise SkipThisVertex()
except :
SkipThisVertex()
# cleanup and return the answer
value = value.replace("(1.0) * ","").replace(" * (1)","")
return (value,append,header)
def fermionCouplings(value,prefactors,L,all_couplings,order) :
new_couplings=[False,False]
try :
new_couplings[0],new_couplings[1] = parse_lorentz(L.structure)
except :
raise SkipThisVertex()
for i in range(0,2) :
if new_couplings[i]:
new_couplings[i] = '(%s) * (%s) * (%s)' % (prefactors,new_couplings[i],value)
if(len(all_couplings)==0) :
all_couplings=new_couplings
else :
for i in range(0,len(new_couplings)) :
if(new_couplings[i] and all_couplings[i]) :
all_couplings[i] = '(%s) + (%s) ' % (new_couplings[i],all_couplings[i])
elif(new_couplings[i]) :
all_couplings[i] = new_couplings[i]
return all_couplings
def processFermionCouplings(lorentztag,vertex,model,parmsubs,all_couplings) :
leftcontent = all_couplings[0][0] if all_couplings[0][0] else "0."
rightcontent = all_couplings[0][1] if all_couplings[0][1] else "0."
tval=[evaluate( leftcontent,model,parmsubs),
evaluate(rightcontent,model,parmsubs)]
for icolor in range(0,len(all_couplings)) :
# loop over the different terms
for ix in range(0,len(all_couplings[icolor])) :
tval2 = evaluate(all_couplings[icolor][ix],model,parmsubs) if all_couplings[icolor][ix] else 0.
if(abs(tval[ix]-tval2)>1e-6) :
raise SkipThisVertex()
normcontent = "1."
append=""
if lorentztag == 'FFV':
append = ('if(p1->id()!=%s) {Complex ltemp=left(), rtemp=right(); left(-rtemp); right(-ltemp);}'
% vertex.particles[0].pdg_code)
return normcontent,leftcontent,rightcontent,append
def RSCouplings(value,prefactors,L,all_couplings,order) :
raise SkipThisVertex()
class LorentzStructure:
"""A simple example class to store a Lorentz structures"""
name=""
value=0.
lorentz=[]
spin=[]
def __repr__(self):
output = self.name
if(self.name=="int" or self.name=="sign") :
output += "=%s" % self.value
elif(len(self.spin)==0) :
output += "("
for val in self.lorentz :
output += "%s," % val
output=output.rstrip(",")
output+=")"
elif(len(self.lorentz)==0) :
output += "("
for val in self.spin :
output += "%s," % val
output=output.rstrip(",")
output+=")"
else :
output += "("
for val in self.lorentz :
output += "%s," % val
for val in self.spin :
output += "%s," % val
output=output.rstrip(",")
output+=")"
return output
def LorentzCompare(a,b) :
if(a.name=="int" and b.name=="int") :
- return b.value-a.value
+ return int(b.value-a.value)
elif(a.name=="int") :
return -1
elif(b.name=="int") :
return 1
elif(len(a.spin)==0) :
if(len(b.spin)==0) :
return len(b.lorentz)-len(a.lorentz)
else :
return -1
elif(len(b.spin)==0) :
return 1
else :
if(len(a.spin)==0 or len(b.spin)==0) :
print 'index problem',a.name,b.name
print a.spin,b.spin
quit()
if(a.spin[0]>0 or b.spin[1]>0 ) : return -1
if(a.spin[1]>0 or b.spin[0]>0 ) : return 1
if(a.spin[1]==b.spin[0]) : return -1
if(b.spin[1]==a.spin[0]) : return 1
return 0
def extractIndices(struct) :
if(struct.find("(")<0) : return []
temp=struct.split("(")[1].split(")")[0].split(",")
output=[]
for val in temp :
output.append(int(val))
return output
def parse_structure(structure) :
output=[]
- # signs between terms
- if(structure=="+" or structure=="-") :
- output.append(LorentzStructure())
- output[0].name="sign"
- output[0].value=structure[0]+"1."
- output[0].value=float(output[0].value)
- return output
- # simple numeric pre/post factors
- elif((structure[0]=="-" or structure[0]=="+") and
- structure[-1]==")" and structure[1]=="(") :
- output.append(LorentzStructure())
- output[0].name="int"
- output[0].value=structure[0]+"1."
- output[0].value=float(output[0].value)
- structure=structure[2:-1]
- elif(structure[0]=="(") :
- temp=structure.rsplit(")",1)
- structure=temp[0][1:]
- output.append(LorentzStructure())
- output[0].name="int"
- output[0].value="1."+temp[1]
- output[0].value=float(eval(output[0].value))
+ found = True
+ while(found) :
+ found = False
+ # signs between terms
+ if(structure=="+" or structure=="-") :
+ output.append(LorentzStructure())
+ output[0].name="sign"
+ output[0].value=structure[0]+"1."
+ output[0].value=float(output[0].value)
+ return output
+ # simple numeric pre/post factors
+ elif((structure[0]=="-" or structure[0]=="+") and
+ structure[-1]==")" and structure[1]=="(") :
+ output.append(LorentzStructure())
+ output[-1].name="int"
+ output[-1].value=structure[0]+"1."
+ output[-1].value=float(output[-1].value)
+ structure=structure[2:-1]
+ found=True
+ elif(structure[0]=="(") :
+ temp=structure.rsplit(")",1)
+ structure=temp[0][1:]
+ output.append(LorentzStructure())
+ output[-1].name="int"
+ output[-1].value="1."+temp[1]
+ output[-1].value=float(eval(output[-1].value))
+ found=True
# special handling for powers , assume only 2
power = False
if("**" in structure ) :
power = True
structure = structure.replace("**","^")
structures = structure.split("*")
if(power) :
for j in range(0,len(structures)):
if(structures[j].find("^")>=0) :
temp = structures[j].split("^")
structures[j] = temp[0]
for i in range(0,int(temp[1])-1) :
structures.append(temp[0])
# split up the structure
for struct in structures:
ind=extractIndices(struct)
# different types of object
# object with only spin indices
if(struct.find("Identity")==0 or
struct.find("Proj")==0 or
struct.find("Gamma5")==0) :
output.append(LorentzStructure())
output[-1].spin=ind
output[-1].name=struct.split("(")[0]
output[-1].value=1.
if(len(struct.replace("%s(%s,%s)" % (output[-1].name,ind[0],ind[1]),""))!=0) :
print "problem A"
quit()
# objects with 2 lorentz indices
elif(struct.find("Metric")==0 or struct.find("P(")==0) :
output.append(LorentzStructure())
output[-1].lorentz=ind
output[-1].name=struct.split("(")[0]
output[-1].value=1.
if(len(struct.replace("%s(%s,%s)" % (output[-1].name,ind[0],ind[1]),""))!=0) :
print "problem B"
quit()
# 1 lorentz and 1 spin index
elif(struct.find("Gamma")==0) :
output.append(LorentzStructure())
output[-1].lorentz=[ind[0]]
output[-1].spin=[ind[1],ind[2]]
output[-1].name=struct.split("(")[0]
output[-1].value=1.
if(len(struct.replace("%s(%s,%s,%s)" % (output[-1].name,ind[0],ind[1],ind[2]),""))!=0) :
print "problem C",struct
quit()
# objects with 4 lorentz indices
elif(struct.find("Epsilon")==0) :
output.append(LorentzStructure())
output[-1].lorentz=ind
output[-1].name=struct.split("(")[0]
output[-1].value=1.
if(len(struct.replace("%s(%s,%s,%s,%s)" % (output[-1].name,ind[0],ind[1],ind[2],ind[3]),""))!=0) :
print "problem D"
quit()
# scalars
else :
try :
output.append(LorentzStructure())
output[-1].value=float(struct)
- output[0].name="int"
+ output[-1].name="int"
except :
print struct
quit()
# now do the sorting
if(len(output)==1) : return output
return sorted(output,cmp=LorentzCompare)
def contractLorentz(L,parsed,lorentztag,order) :
for l in range(0,len(parsed)) :
for j in range(0,len(parsed[l])) :
# replace indices with polarization vectors
ll = len(parsed[l][j].lorentz)
if(parsed[l][j].name=="P") :
ll=1
found=False
for k in range(0,len(parsed[l])) :
if(j==k or parsed[l][k]=="" ) : continue
imax = len(parsed[l][k].lorentz)
if(parsed[l][k].name=="P") : imax=1
for i in range(0,imax) :
if(parsed[l][k].lorentz[i]==parsed[l][j].lorentz[0]) :
parsed[l][k].lorentz[i] = "P%s" % parsed[l][j].lorentz[1]
if(parsed[l][k].name=="P") :
parsed[l][k].lorentz[1] = "P%s" % parsed[l][k].lorentz[1]
parsed[l][k].name="Metric"
found=True
break
if(found) :
parsed[l][j]=''
ll=0
for i in range(0,ll) :
if(parsed[l][j]!="" and parsed[l][j].lorentz[i]>=0
and isinstance(parsed[l][j].lorentz[i],(int,long)) and
L.spins[parsed[l][j].lorentz[i]-1]==3 ) :
parsed[l][j].lorentz[i]= "E%s" % parsed[l][j].lorentz[i]
if(parsed[l][j].name=="P") :
parsed[l][j].lorentz[1] = "P%s" % parsed[l][j].lorentz[1]
parsed[l][j].name="Metric"
parsed[l] = [x for x in parsed[l] if x != ""]
def computeUnit(dimension) :
if(isinstance(dimension,int)) :
dtemp = dimension
else :
dtemp=dimension[1]+dimension[2]
if(dtemp==0) :
unit="double"
elif(dtemp==1) :
unit="Energy"
elif(dtemp==-1) :
unit="InvEnergy"
elif(dtemp>0) :
unit="Energy%s" % (dtemp)
elif(dtemp<0) :
unit="InvEnergy%s" % (dtemp)
return unit
def computeUnit2(dimension,vDim) :
# first correct for any coupling power in vertex
totalDim = int(dimension[0])+dimension[2]+vDim-4
output=""
if(totalDim!=0) :
if(totalDim>0) :
if(totalDim==1) :
output = "1./GeV"
elif(totalDim==2) :
output = "1./GeV2"
else :
output="1."
for i in range(0,totalDim) :
output +="/GeV"
else :
if(totalDim==-1) :
output = "GeV"
elif(totalDim==-2) :
output = "GeV2"
else :
output="1."
for i in range(0,-totalDim) :
output +="*GeV"
expr=""
# now remove the remaining dimensionality
removal=dimension[1]-int(dimension[0])-vDim+4
if(removal!=0) :
if(removal>0) :
if(removal==1) :
expr = "UnitRemoval::InvE"
else :
expr = "UnitRemoval::InvE%s" % removal
else :
if(removal==-1) :
expr = "UnitRemoval::E"
else :
expr = "UnitRemoval::E%s" % (-dimension)
if(output=="") : return expr
elif(expr=="") : return output
else : return "%s*%s" %(output,expr)
def generateVertex(iloc,L,parsed,lorentztag,order,defns) :
eps=False
# various strings for matrixes
I4 = "Matrix([[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]])"
G5 = "Matrix([[-1,0,0,0],[0,-1,0,0],[0,0,1,0],[0,0,0,1]])"
PM = "Matrix([[1,0,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]])"
PP = "Matrix([[0,0,0,0],[0,0,0,0],[0,0,1,0],[0,0,0,1]])"
vslash = Template("Matrix([[0,0,${v}tmz,-${v}xmy],[0,0,-${v}xpy,${v}tpz],[${v}tpz,${v}xmy,0,0],[${v}xpy,${v}tmz,0,0]])")
vslashS = Template("${v}tpz=Symbol(\"${v}tpz\")\n${v}tmz=Symbol(\"${v}tmz\")\n${v}xpy=Symbol(\"${v}xpy\")\n${v}xmy=Symbol(\"${v}xmy\")\n")
vslashD = Template("complex<${var}> ${v}tpz = ${v}.t()+${v}.z();\n complex<${var}> ${v}tmz = ${v}.t()-${v}.z();\n complex<${var}> ${v}xpy = ${v}.x()+Complex(0.,1.)*${v}.y();\n complex<${var}> ${v}xmy = ${v}.x()-Complex(0.,1.)*${v}.y();")
vslashM = Template("Matrix([[$m,0,${v}tmz,-${v}xmy],[0,$m,-${v}xpy,${v}tpz],[${v}tpz,${v}xmy,$m,0],[${v}xpy,${v}tmz,0,$m]])")
vslashM2 = Template("Matrix([[$m,0,-${v}tmz,${v}xmy],[0,$m,${v}xpy,-${v}tpz],[-${v}tpz,-${v}xmy,$m,0],[-${v}xpy,-${v}tmz,0,$m]])")
vslashMS = Template("${v}tpz=Symbol(\"${v}tpz\")\n${v}tmz=Symbol(\"${v}tmz\")\n${v}xpy=Symbol(\"${v}xpy\")\n${v}xmy=Symbol(\"${v}xmy\")\n${m}=Symbol(\"${m}\")\n")
dirac=["Matrix([[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]])","Matrix([[0,0,0,1],[0,0,1,0],[0,-1,0,0],[-1,0,0,0]])",
"Matrix([[0,0,0,complex(0, -1)],[0,0,complex(0, 1),0],[0,complex(0, 1),0,0],[complex(0, -1),0,0,0]])",
"Matrix([[0,0,1,0],[0,0,0,-1],[-1,0,0,0],[0,1,0,0]])"]
# order the indices of a dot product
def indSort(a,b) :
if(a[0]==b[0]) :
i1=int(a[1])
i2=int(b[1])
if(i1>i2) :
return 1
elif(i1<i2) :
return -1
else :
return 0
else :
if(a[0]=="E") :
return 1
else :
return -1
# parse the lorentz structures
output = [1.]*len(parsed)
dimension=[]
for i in range(0,len(parsed)) :
dimension.append([0,0,0])
for i in range (0,len(parsed)) :
# replace signs
if(len(parsed[i])==1 and parsed[i][0].name=="sign") :
if(parsed[i][0].value>0) :
output[i]="+"
else :
output[i]="-"
parsed[i][0]=''
continue
# replace integers
for j in range(0,len(parsed[i])) :
if(parsed[i][j]!="" and parsed[i][j].name=="int") :
output[i] *= parsed[i][j].value
parsed[i][j]=""
continue
output[i] = "(%s)" % output[i]
for j in range(0,len(parsed[i])) :
if(parsed[i][j]!="" and parsed[i][j].name=="Metric") :
(ind1,ind2) = sorted((parsed[i][j].lorentz[0],parsed[i][j].lorentz[1]),cmp=indSort)
# this product already dealt with ?
if((ind1,ind2) in defns) :
output[i] += "*(%s)" % defns[(ind1,ind2)][0]
parsed[i][j]=""
if(ind1[0]=="P") : dimension[i][2] +=1
if(ind2[0]=="P") : dimension[i][2] +=1
continue
# handle the product
name = "dot%s" % (len(defns)+1)
parsed[i][j]=""
if(ind1[0]=="P") :
# dot product of two momenta
if(ind2[0]=="P") :
dimension[i][2] +=2
defns[(ind1,ind2)] = [name,"Energy2 %s = %s*%s;" % (name,ind1,ind2)]
output[i] += "*(%s)" % name
elif(ind2[0]=="E") :
dimension[i][2] +=1
if(int(ind2[1])==iloc) :
output[i] += "*(%s)" % ind1
else :
defns[(ind1,ind2)] = [name,"complex<Energy> %s = %s*%s;" % (name,ind1,ind2)]
output[i] += "*(%s)" % name
elif(ind1[0]=="E") :
if(ind2[0]!="E") :
print "problem"
quit()
if(int(ind1[1])==iloc) :
output[i] += "*(%s)" % ind2
elif(int(ind2[1])==iloc) :
output[i] += "*(%s)" % ind1
else :
defns[(ind1,ind2)] = [name,"complex<double> %s = %s*%s;" % (name,ind1,ind2)]
output[i] += "*(%s)" % name
elif(parsed[i][j]!="" and parsed[i][j].name=="Epsilon") :
if(not eps) : eps = True
offLoc = -1
indices=[]
dTemp=0
for ix in range(0,len(parsed[i][j].lorentz)) :
if(parsed[i][j].lorentz[ix][0]=="E" and int(parsed[i][j].lorentz[ix][1])==iloc ) :
offLoc = ix
break
for ix in range(0,len(parsed[i][j].lorentz)) :
if(parsed[i][j].lorentz[ix][0]=="P") : dTemp+=1
if((offLoc<0 and ix != 0) or
(offLoc>=0 and offLoc!=ix) ) :
indices.append(parsed[i][j].lorentz[ix])
dimension[i][2] += dTemp
if(offLoc<0) :
iTemp = (parsed[i][j].lorentz[0],parsed[i][j].lorentz[1],
parsed[i][j].lorentz[2],parsed[i][j].lorentz[3])
if(iTemp in defns) :
output[i] += "*(%s)" % defns[iTemp][0]
parsed[i][j]=""
else :
name = "dot%s" % (len(defns)+1)
unit = computeUnit(dTemp)
defns[iTemp] = [name,"complex<%s> %s =-%s*epsilon(%s,%s,%s);" % (unit,name,parsed[i][j].lorentz[0],
indices[0],indices[1],indices[2]) ]
output[i] += "*(%s)" % name
else :
iTemp = (indices[0],indices[1],indices[2])
sign = ""
if(offLoc%2!=0) : sign="-"
if(iTemp in defns) :
output[i] += "*(%s%s)" % (sign,defns[iTemp][0])
parsed[i][j]=""
else :
name = "vec%s" % (len(defns)+1)
output[i] += "*(%s%s)" % (sign,name)
unit = computeUnit(dTemp)
defns[iTemp] = [name,"LorentzVector<complex<%s> > %s =-epsilon(%s,%s,%s);" % (unit,name,
indices[0],indices[1],indices[2]) ]
# remove any (now) empty elements
for i in range (0,len(parsed)) :
parsed[i] = [x for x in parsed[i] if x != ""]
# now for gamma matrix strings
if(lorentztag[0]=="F") :
result=""
for i in range(0,len(parsed)):
if(len(parsed[i])==0) :
continue
if(len(parsed[i])==1 and parsed[i][0]=="") :
result+=parsed[i][0]
continue
# first and last lorentz indices
sind=parsed[i][0].spin[0]
lind=0
# first piece of the expression we need to evaluate
dtemp=[0,0,0]
if(sind==iloc) :
expr = vslashM.substitute({ "v" : "P%s" % sind, "m" : "M%s" % sind} )
Symbols = vslashMS.substitute({ "v" : "P%s" % sind, "m" : "M%s" % sind} )
defns["vvP%s" % sind ] = ["vvP%s" % sind ,
vslashD.substitute({ "var" : "Energy",
"v" : "P%s" % sind })]
dtemp[1]+=1
dtemp[0]+=0.5
else :
Symbols=Template("sbar${s}s1=Symbol(\"sbar${s}s1\")\nsbar${s}s2=Symbol(\"sbar${s}s2\")\nsbar${s}s3=Symbol(\"sbar${s}s3\")\nsbar${s}s4=Symbol(\"sbar${s}s4\")\n").substitute({'s' :parsed[i][0].spin[0]})
expr=Template("Matrix([[sbar${s}s1,sbar${s}s2,sbar${s}s3,sbar${s}s4]])").substitute({'s' : sind })
dtemp[0]+=0.5
# parse the remaining structures
for j in range(0,len(parsed[i])) :
if(parsed[i][j].name=="Identity") :
expr += "*%s" % I4
lind = parsed[i][j].spin[1]
parsed[i][j]=""
elif(parsed[i][j].name=="Gamma5") :
expr += "*%s" % G5
lind = parsed[i][j].spin[1]
parsed[i][j]=""
elif(parsed[i][j].name=="ProjM") :
expr += "*%s" % PM
lind = parsed[i][j].spin[1]
parsed[i][j]=""
elif(parsed[i][j].name=="ProjP") :
expr += "*%s" % PP
lind = parsed[i][j].spin[1]
parsed[i][j]=""
elif(parsed[i][j].name=="Gamma") :
lind = parsed[i][j].spin[1]
# lorentz matrix contracted with the propagator
if(parsed[i][j].lorentz[0] == ("E%s" % iloc ) ) :
expr += "*DUMMY"
else :
expr += "*"+vslash.substitute({ "v" : parsed[i][j].lorentz[0]})
Symbols += vslashS.substitute({ "v" : parsed[i][j].lorentz[0]})
if(parsed[i][j].lorentz[0][0]=="P") :
dtemp[2] += 1
variable="Energy"
else :
variable="double"
defns["vv%s" % parsed[i][j].lorentz[0] ] = \
["vv%s" % parsed[i][j].lorentz[0],
vslashD.substitute({ "var" : variable,
"v" : parsed[i][j].lorentz[0]})]
parsed[i][j]=""
else :
print 'FFFFFF'
print parsed[i][j]
quit()
# last piece of spin chain
if(lind==iloc) :
expr += "*"+vslashM2.substitute({ "v" : "P%s" % lind, "m" : "M%s" % lind} )
Symbols += vslashMS.substitute({ "v" : "P%s" % lind, "m" : "M%s" % lind} )
defns["vvP%s" % lind ] = ["vvP%s" % lind ,
vslashD.substitute({ "var" : "Energy",
"v" : "P%s" % lind })]
dtemp[1] += 1
dtemp[0] += 0.5
else :
expr+=Template("*Matrix([[s${s}s1],[s${s}s2],[s${s}s3],[s${s}s4]])").substitute({'s' : lind})
Symbols+=Template("s${s}s1=Symbol(\"s${s}s1\")\ns${s}s2=Symbol(\"s${s}s2\")\ns${s}s3=Symbol(\"s${s}s3\")\ns${s}s4=Symbol(\"s${s}s4\")\n").substitute({'s' : lind})
dtemp[0] += 0.5
parsed[i] = [x for x in parsed[i] if x != ""]
if(len(parsed[i])!=0) :
print "ERROR"
quit()
# off-shell vector
if(expr.find("DUMMY")>=0) :
vtemp=[]
defns["I"] = ["I","static Complex I(0.,1.);"]
for matrix in dirac :
temp={}
exec("import sympy\nfrom sympy import Symbol,Matrix\n"+Symbols+"result="+expr.replace("DUMMY",matrix)) in temp
vtemp.append(temp["result"][0,0])
unit = computeUnit(dtemp)
output[i] += "*LorentzVector<complex<%s> >(%s,%s,%s,%s)" % (unit,vtemp[1],vtemp[2],vtemp[3],vtemp[0])
else :
temp={}
if(iloc==0 or (iloc!=sind and iloc!=lind)) :
exec("import sympy\nfrom sympy import Symbol,Matrix\n"+Symbols+"result="+expr) in temp
output[i] += "*(%s)" % temp["result"][0,0]
else :
exec("import sympy\nfrom sympy import Symbol,Matrix\n"+Symbols+"result="+expr) in temp
unit = computeUnit(dtemp)
if(iloc==sind) :
output[i] += "*LorentzSpinor<%s>(%s,%s,%s,%s)" % (unit,temp["result"][0],temp["result"][1],
temp["result"][2],temp["result"][3])
else :
output[i] += "*LorentzSpinorBar<%s >(%s,%s,%s,%s)" % (unit,temp["result"][0],temp["result"][1],
temp["result"][2],temp["result"][3])
dimension[i] = list(map(lambda x, y: x + y, dtemp, dimension[i]))
return (output,dimension,eps)
def convertLorentz(Lstruct,lorentztag,order,iloc,defns,evalVertex) :
eps = False
# split the structure into individual terms
structures=Lstruct.structure.split()
parsed=[]
for struct in structures :
parsed.append(parse_structure(struct))
# convert lorentz contractions to dot products
contractLorentz(Lstruct,parsed,lorentztag,order)
# now in a position to generate the code
vals=generateVertex(iloc,Lstruct,parsed,lorentztag,order,defns)
evalVertex.append((vals[0],vals[1]))
if(vals[2]) : eps=True
return eps
evaluateTemplate = """\
{decl} {{
{momenta}
{waves}
{swap}
{defns}
{symbols}
{couplings}
{result}
}}
"""
def swapOrder(vertex,iloc,momenta) :
names=['','sca','sp','v']
waves=['','sca','' ,'E']
output=""
for i in range(1,4) :
ns = vertex.lorentz[0].spins.count(i)
if((ns<=1 and i!=2) or (ns<=2 and i==2)) : continue
if(i!=3 and i!=1) :
print 'swap problem',i
quit()
sloc=[]
for j in range(0,len(vertex.lorentz[0].spins)) :
if(vertex.lorentz[0].spins[j]==i) : sloc.append(j+1)
if iloc in sloc : sloc.remove(iloc)
if(len(sloc)==1) : continue
for j in range(0,len(sloc)) :
output += " long id%s = %sW%s.id();\n" % (sloc[j],names[i],sloc[j])
for j in range(0,len(sloc)) :
for k in range(j+1,len(sloc)) :
code = vertex.particles[sloc[j]-1].pdg_code
if(vertex.particles[sloc[j]-1].name!=vertex.particles[sloc[j]-1].antiname) :
code *= -1
output += " if(id%s!=%s) {\n" % (sloc[j],code)
output += " swap(id%s,id%s);\n" % (sloc[j],sloc[k])
output += " swap(%s%s,%s%s);\n" % (waves[i],sloc[j],waves[i],sloc[k])
if(momenta[sloc[j]-1][0] or momenta[sloc[k]-1][0]) :
momenta[sloc[j]-1][0] = True
momenta[sloc[k]-1][0] = True
output += " swap(P%s,P%s);\n" % (sloc[j],sloc[k])
output += " };\n"
return output
def generateEvaluateFunction(model,vertex,iloc,values,defns,vertexEval,cf) :
# first construct the signature of the function
iferm=0
decls=[]
offType="Complex"
momenta=[]
waves=[]
poff=""
fermionReplace=[]
for i in range(0,len(vertex.lorentz[0].spins)) :
spin = vertex.lorentz[0].spins[i]
if(i+1==iloc) :
if(spin==1) :
offType="ScalarWaveFunction"
elif(spin==2) :
if(iferm==0) :
offType="SpinorBarWaveFunction"
else :
offType="SpinorWaveFunction"
iferm+=1
elif(spin==3) :
offType="VectorWaveFunction"
elif(spin==4) :
offType="TensorWaveFunction"
else :
print 'unknown spin',spin
quit()
momenta.append([False,""])
else :
if(spin==1) :
decls.append("ScalarWaveFunction & scaW%s" % (i+1))
momenta.append([False,"Lorentz5Momentum P%s =-scaW%s.momentum();" % (i+1,i+1)])
waves.append("Complex sca%s = scaW%s.wave();" % (i+1,i+1))
elif(spin==2) :
if(iferm==0) :
decls.append("SpinorWaveFunction & sW%s" % (i+1))
momenta.append([False,"Lorentz5Momentum P%s =-sW%s.momentum();" % (i+1,i+1)])
waves.append("LorentzSpinor<double> s%s = sW%s.wave();" % (i+1,i+1))
fermionReplace.append("s%s"%(i+1))
else :
decls.append("SpinorBarWaveFunction & sbarW%s" % (i+1))
momenta.append([False,"Lorentz5Momentum P%s =-sbarW%s.momentum();" % (i+1,i+1)])
waves.append("LorentzSpinorBar<double> sbar%s = sbarW%s.wave();" % (i+1,i+1))
fermionReplace.append("sbar%s"%(i+1))
iferm +=1
elif(spin==3) :
decls.append("VectorWaveFunction & vW%s" % (i+1))
momenta.append([False,"Lorentz5Momentum P%s =-vW%s.momentum();" % (i+1,i+1)])
waves.append("LorentzPolarizationVector E%s = vW%s.wave();" % (i+1,i+1))
elif(spin==4) :
decls.append("TensorWaveFunction & tW%s" % (i+1))
momenta.append([False,"Lorentz5Momentum P%s =-tW%s.momentum();" % (i+1,i+1)])
waves.append("LorentzTensor t%s = tW%s.wave()" % (i+1,i+1))
else :
print 'unknown spin',spin
quit()
poff += "-P%s" % (i+1)
poff = ("Lorentz5Momentum P%s = " % iloc ) + poff
sig=""
if(iloc==0) :
sig="%s evaluate(Energy2, const %s)" % (offType,", const ".join(decls))
else :
sig="%s evaluate(Energy2, int iopt, tcPDPtr out, const %s, complex<Energy> mass=-GeV, complex<Energy> width=-GeV)" % (offType,", const ".join(decls))
momenta.append([True,poff+";"])
for i in range(0,len(momenta)) : momenta[i][0]=True
# cat the definitions
defString=""
for (key,value) in defns.iteritems() :
defString+=" %s\n" %value[1]
oval=""
symbols=set()
localCouplings=[]
result=""
for j in range(0,len(vertexEval)) :
(vals,dim) = vertexEval[j]
expr=""
dimCheck=dim[0]
for i in range(0,len(vals)) :
if(vals[i]=="+" or vals[i]=="-") :
expr +=vals[i]
else :
if(dimCheck[0]!=dim[i][0] or dimCheck[1]!=dim[i][1] or
dimCheck[2]!=dim[i][2]) :
print defns
print vertex.lorentz[j]
print vertex.lorentz[j].structure
print "DIMENSION PROBLEM",i,j,dimCheck,dim[i],vertex,vals[i]
print vals
quit()
expr += "(%s)" % vals[i]
for rep in fermionReplace :
for i in range(1,5) :
oldVal = "%ss%s" % (rep,i)
newVal = "%s.s%s()" % (rep,i)
expr=expr.replace(oldVal,newVal)
vDim = len(vertex.lorentz[0].spins)
unit = computeUnit2(dimCheck,vDim)
if(unit!="") :
expr = "(%s)*(%s)" % (expr,unit)
val, sym = py2cpp(values[j])
localCouplings.append("Complex local_C%s = %s;\n" % (j,val))
symbols |=sym
if(result!="") :
if(iloc==0 or vertex.lorentz[0].spins[iloc-1]==1) :
result += " + (local_C%s)*Complex(%s)" % (j,expr)
else :
result += " + (local_C%s)*(%s)" % (j,expr)
else :
if(iloc==0 or vertex.lorentz[0].spins[iloc-1]==1) :
result += " (local_C%s)*Complex(%s) " % (j,expr)
else :
result += " (local_C%s)*(%s) " % (j,expr)
# multiple by scalar wavefunctions
scalars=""
for i in range (0,len(vertex.lorentz[0].spins)) :
if(vertex.lorentz[0].spins[i]==1 and i+1!=iloc) :
scalars += "sca%s*" % (i+1)
if(scalars!="") :
result = "(%s)*(%s)" % (result,scalars[0:-1])
if(iloc==0) :
result = "return (%s)*(%s);\n" % (result,py2cpp(cf[0])[0])
else :
if(vertex.lorentz[0].spins[iloc-1] == 3 ) :
result = "LorentzPolarizationVector vtemp = %s;\n" % result
result +=" Energy2 p2 = P%s.m2();\nComplex fact = -Complex(0.,1.)*(%s)*propagator(iopt,p2,out,mass,width);\n if(mass.real() < ZERO) mass = (iopt==5) ? ZERO : out->mass();\n complex<Energy2> mass2 = sqr(mass);\n if(mass.real()==ZERO) {\n vtemp =fact*vtemp;\n}\n else {\ncomplex<Energy> dot = P%s*vtemp;\n vtemp = fact*(vtemp-dot/mass2*P%s);\n}\nreturn VectorWaveFunction(P%s,out,vtemp.x(),vtemp.y(),vtemp.z(),vtemp.t());\n" % (iloc,py2cpp(cf[0])[0],iloc,iloc,iloc)
elif(vertex.lorentz[0].spins[iloc-1] == 2 ) :
result = "if(mass.real() < ZERO) mass = (iopt==5) ? ZERO : out->mass();\n Energy2 p2 = P%s.m2();\n Complex fact = Complex(0.,1.)*(%s)*propagator(iopt,p2,out,mass,width);\n Lorentz%s<double> newSpin = fact*(%s);\n return %s(P%s,out,newSpin.s1(),newSpin.s2(),newSpin.s3(),newSpin.s4());" % \
(iloc,py2cpp(cf[0])[0],offType.replace("WaveFunction",""),result.replace( "M%s" % iloc, "mass" ),offType,iloc)
elif(vertex.lorentz[0].spins[iloc-1] == 1 ) :
result = "if(mass.real() < ZERO) mass = (iopt==5) ? ZERO : out->mass();\n Energy2 p2 = P%s.m2();\n Complex fact = Complex(0.,1.)*(%s)*propagator(iopt,p2,out,mass,width);\n complex<double> output = fact*(%s);\n return ScalarWaveFunction(P%s,out,output);\n" % (iloc,py2cpp(cf[0])[0],result,iloc)
# check if momenta defns needed to clean up compile of code
for (key,val) in defns.iteritems() :
if( isinstance(key, basestring)) :
if(key.find("vvP")==0) :
momenta[int(key[3])-1][0] = True
else :
for vals in key :
if(vals[0]=="P") :
momenta[int(vals[1])-1][0] = True
sorder=swapOrder(vertex,iloc,momenta)
momentastring=""
for i in range(0,len(momenta)) :
if(momenta[i][0] and momenta[i][1]!="") :
momentastring+=momenta[i][1]+"\n "
# special for 4-point VVVV
if(vertex.lorentz[0].spins.count(3)==4 and iloc==0) :
sig=sig.replace("Energy2","Energy2,int")
header="virtual %s" % sig
sig=sig.replace("=-GeV","")
symboldefs = [ def_from_model(model,s) for s in symbols ]
function = evaluateTemplate.format(decl=sig,momenta=momentastring,defns=defString,
waves="\n ".join(waves),symbols='\n '.join(symboldefs),
couplings="\n ".join(localCouplings),
result=result,swap=sorder)
return (header,function)
evaluateMultiple = """\
{decl} {{
{code}
}}
"""
def multipleEvaluate(vertex,spin,defns) :
if(spin==1) :
name="scaW"
elif(spin==3) :
name="vW"
else :
print 'testing evaluate multiple porblem',spin
quit()
if(len(defns)==0) : return ("","")
header = defns[0]
ccdefn = header.replace("=-GeV","").replace("virtual ","").replace("Energy2","Energy2 q2")
code=""
spins=vertex.lorentz[0].spins
iloc=1
waves=[]
for i in range(0,len(spins)) :
if(spins[i]==spin) :
waves.append("%s%s" %(name,i+1))
for i in range(0,len(spins)) :
if(spins[i]==spin) :
if(iloc==1) : el=""
else : el="else "
call = defns[iloc].replace("virtual","").replace("ScalarWaveFunction","").replace("SpinorWaveFunction","") \
.replace("SpinorBarWaveFunction","").replace("VectorWaveFunction","").replace("TensorWaveFunction","") \
.replace("Energy2","q2").replace("int","").replace("complex<Energy>","").replace("=-GeV","") \
.replace("const &","").replace("tcPDPtr","").replace(" "," ")
if(iloc!=1) :
call = call.replace(waves[0],waves[iloc-1])
pdgid = vertex.particles[i].pdg_code
if(vertex.particles[i].name!=vertex.particles[i].antiname) :
pdgid *= -1
code += " %sif(out->id()==%s) return %s;\n" % (el,pdgid,call)
iloc+=1
code+=" else assert(false);\n"
return (header,evaluateMultiple.format(decl=ccdefn,code=code))

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