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

global pstr
pstr = mfilename
global lstr rstr

global islip
islip = 1;

global dorat
dorat = 1;

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 saf raf Lipk
saf = 1;
%raf = n;
raf = 1e8;
Lipk = 1;
%raf = 100;


%if islip
if 1
  global Ainf Binf mylinopt
  mylinopt = optimset('Diagnostics','off');
  mylinopt = optimset('Display','off');
  %[Ainf,Binf] = lipab(m,n);
  Ainf = [];  Binf = [];
  %Binf = Binf * Lipk;
end
  

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 mind
mind = 1e6;

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; f in [%d,%d] \n',pstr,n,m,saf,raf);
  fprintf('DIFF _________________________ mind = %1.9f \n',mind);
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 = H*U - P;
[x,fval] = linprog(K,Ainf,Binf,[],[],0*K+saf,0*K+raf,0,mylinopt);

y = fval;
global mind
if (y < mind)
  global mindP mindF
  mindP = P;
  mindF = x;
  mind = y;
  fprintf('%s: PARAMS: n=%d m=%d; f in [%d,%d] \n',pstr,n,m,saf,raf);
  fprintf('DIFF _________________________ mind = %1.9f \n',mind);
  if y < -.01
    save BADEPHID m n P y
  end
end

return