function oldpsi(m0,n0)
global m n
randomize
m = m0;
n = n0;

global pstr
pstr = mfilename
global lstr rstr

global Ainf Binf mylinopt
mylinopt = optimset('Diagnostics','off');
mylinopt = optimset('Display','off');
[Ainf,Binf] = lipab(m,n);


global U P0
P = ones(m^n,1); P = P/sum(P);
zz = P*0 + 1e-12; oo = P*0+1;
U = P;
P0 = P;

global LB UB

pdim = m^n;
xdim = pdim;
LB = zeros(xdim,1);
UB(1:pdim) = zz;
UB = LB*0;
UB(1:pdim) = oo;

Aeq0 = zeros(1,xdim);
Aeq0(1:pdim) = oo';

global maxr
maxr = 0;

while 1
  % pick an arb. marg. distr.
  %Pmarg = getmargs(P,m,n);

  %Pmarg = pnormdim(rand(m,n),1);
  %Pmarg = pnormdim(ones(m,n),1);
  %P = randgivenmarg(m,n,Pmarg);
  
  P = unifP(m,n);
  % and corresponding marg. distr
  %U = prodmeas(P,m,n);
  %U = P0;
  
  
  % constrain P to have these marginals
  %[Aeq,Beq] = constrain_marg(m,n,Pmarg);
  %Aeq = [Aeq;Aeq0];
  %Beq(end+1)=1;
  Aeq = Aeq0;
  Beq = 1;
  
  x = P(:);

  y = fmincon(@myobj,x,[],[],Aeq,Beq,LB,UB);
  
  fprintf('%s: PARAMS: n=%d m=%d; \n',pstr,n,m);
  fprintf('RAT _________________________ maxr = %1.9f \n',maxr);
end

return


function y = myobj(x)
global m n
global Ainf Binf mylinopt
global lstr rstr
global LB UB saf raf
global islip
global Lipk
global dorat
global pstr
pdim = m^n;
xdim = pdim;

P = x(1:pdim);
P = makepos(P);
%global U
U = prodmeas(P,m,n);
[hh,Ht,H] = gethhn(P,m,n);

K = P - H*U;

lhs = Psi(K,m,n);
[x,fval] = linprog(-K,Ainf,Binf,[],[],0*K,0*K+n,0,mylinopt);
lhs = -fval;

rhs = H;

r = lhs/rhs;

y = -r;
global maxr
if (r > maxr)
  global maxP
  maxP = P;
  maxr = r;
  fprintf('%s: PARAMS: n=%d m=%d; \n',pstr,n,m);
  fprintf('RAT _________________________ maxr = %1.9f \n',maxr);
end

return