Pb with headers in table()

savecancel

Here is the forgotten function which list all the preferences on a list of candidates

def All_pref(cand=["A","B","C","D"],code=1) :
    ncand=len(cand)
    Scand=sorted(Set(cand))
    all_pref=Arrangements(Scand,ncand).list()
    all_pref1=[str(Word(x)) for x in all_pref]
    if code==1 :
        return ncand
    if code==2 :
        return all_pref1

I have a problem with the following function :

# Borda(cand=["A","B","C","D"],ne=[18,16,14,12,11,20,19,14,16,12,2,1,0,0,20,16,13,15,11,10,9,8,7,5],cond=0)
# cond = 0 redonne la répartition des préférences
# cond = 1 donne le classement des candidats sur chaque type de préférences
# cond = 2 donne les scores sur chaque candidat
# cond = 2 donne l'accumulation des scores sur chaque candidat
# cond = 3 déclare le vainqueur au sens de Borda.
def Borda(cand=["A","B","C","D"],ne=[18,16,14,12,11,20,19,14,16,12,2,1,0,0,20,16,13,15,11,10,9,8,7,5],cond=0) :
    Ap=All_pref(cand,2) 
    cond1=['$\\tiny${}{}{}{}$'.format(*w) for w in Ap]
    cond2 =[""]+ [r'${}$'.format(*w) for w in cand]
    cond3 =[r'${}$'.format(*w) for w in cand]
    t1=table([ne])#,header_row=cond1)
    rank=[[x.find(l) for x in Ap] for l in cand] 
    score_de_Borda=[[abs(x.find(l)-len(cand)) for x in Ap] for l in cand]
    t2=table(rank)#,header_row=cond1,header_column=cond2)
    total_score_de_Borda=[add([score_de_Borda[j][i]*ne[i] for i in range(24)]) for j in range(len(cand))]
    t3=table(score_de_Borda)#,header_column=cond3)
    max_total_score_de_Borda=max(total_score_de_Borda)
    ind_max_total_score_de_Borda=total_score_de_Borda.index(max_total_score_de_Borda)
    vainqueur_de_Borda=cand[ind_max_total_score_de_Borda] 
    if cond==0 :
        return t1
    if cond==1 :
        return t2
    if cond==2 :
        return t3
    if cond==3 :
        return total_score_de_Borda
    if cond==4 :
        return vainqueur_de_Borda

and here is a call to the different variations.

show(LatexExpr(r"\text{Le tableau des rangs est :}"))
show(Borda(["A","B","C","D"],[18,16,14,12,11,20,19,14,16,12,2,1,0,0,20,16,13,15,11,10,9,8,7,5],1))
show(LatexExpr(r"\text{Le tableau des scores est :}"))
show(Borda(["A","B","C","D"],[18,16,14,12,11,20,19,14,16,12,2,1,0,0,20,16,13,15,11,10,9,8,7,5],2))
show(LatexExpr(r"\text{Les scores totaux de chaque candidat sont :}"))
Borda(["A","B","C","D"],[18,16,14,12,11,20,19,14,16,12,2,1,0,0,20,16,13,15,11,10,9,8,7,5],3)
show(LatexExpr(r"\text{Le vainqueur d'un décompte à la Borda est : }"),
Borda(["A","B","C","D"],[18,16,14,12,11,20,19,14,16,12,2,1,0,0,20,16,13,15,11,10,9,8,7,5],4),LatexExpr(r"."))

All is fine but if inside the function i remove the# and allow the header(s), I have an error which I do not understand since some time it works and some time not. (I am working with sagemath 9.2 under windows).