function ephiy(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;
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);
  Binf = Binf * Lipk;
end
  

pdim = m^n;
fdim = m^n;
xdim = pdim + fdim;
LB = zeros(xdim,1);
UB(1:pdim) = zz;
LB(pdim+1:end) = 0*LB(pdim+1:end) + saf;
UB = LB*0;
UB(1:pdim) = oo;
UB(pdim+1:end) = 0*UB(pdim+1:end) + raf;


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

if islip
  Ain = assembleblock({zeros(0,pdim), Ainf});
  Bin = Binf;
else
  Ain = [];
  Bin = [];  
end

global maxr mind
maxr = 0;
mind = 1e6;

while 1
  P = unifP(m,n);
  
  if islip
    F = randlip;
  else
    F = rand(m^n,1)+saf;
  end
  
  x = [P(:);F(:)];
  
  y = fmincon(@radrat,x,Ain,Bin,Aeq,Beq,LB,UB);
  
  fprintf('%s: PARAMS: n=%d m=%d; F in [%1.3f,%1.3f], islip? %d \n',pstr,n,m,saf,raf,islip*Lipk);
  %if dorat
  fprintf('RATIO_________________________ (%s)/(%s);  maxr = %1.9f \n',lstr,rstr,maxr);
  %else
    fprintf('DIFF _________________________ %s - %s;  mind = %1.9f \n',rstr,lstr,mind);
  %end
  
  dorat = ~dorat;
end

return


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

P = x(1:pdim);
F = x(pdim+1:end);
F = pl(F);
P = makepos(P);
[U,margs] = prodmeas(P,m,n);

[hh,Ht,H] = gethhn(P,m,n);

ysum = 0;
for y=1:m
  py = margs(y,n);
  Fy = getky(F,y,m,n);
  Uy = getky(U,y,m,n);
  %Fy = min(Fy,n-1);
  Py = getky(P,y,m,n);
  P_y = Py/sum(Py);
  [hh,Ht,Hy] = gethhn(P_y,m,n-1);
  %ysum = ysum + py * Hy * Fy'*P_y;
  ysum = ysum + py * Hy * Fy'*Uy;
end


FU = abs(F'*U);

lstr = 'ysum';
rstr = 'FU*H';

lhs = eval(lstr);
rhs = eval(rstr)+1e-7;

global maxr mind
if dorat
  r = lhs/rhs;
  y = -r;
  if (r > maxr)
    global maxrP maxrF
    maxrP = P;
    maxrF = F;
    maxr = r;
    fprintf('%s: PARAMS: n=%d m=%d; F in [%1.3f,%1.3f], islip? %d \n',pstr,n,m,saf,raf,islip*Lipk);
    fprintf('RATIO_________________________ (%s)/(%s);  maxr = %1.9f \n',lstr,rstr,maxr);
    if r > 1.01
      save BADEPHIR m n P F r
    end
  end
else
  d = rhs - lhs;
  y = d;
  if (d < mind)
    global mindP mindF
    mindP = P;
    mindF = F;
    mind = d;
    fprintf('%s: PARAMS: n=%d m=%d; F in [%1.3f,%1.3f], islip? %d \n',pstr,n,m,saf,raf,islip*Lipk);
    fprintf('DIFF _________________________ %s - %s;  mind = %1.9f \n',rstr,lstr,mind);
    if d < -.01
      save BADEPHID m n P F d
    end
  end
end

return


function phi = randlip
global Ainf Binf m n mylinopt
global saf raf
K = genK(m,n);
[x,fval] = linprog(-K,Ainf,Binf,[],[],0*K+saf,0*K+raf,0,mylinopt);
phi = x';
return



function Pmarg = getmargs(P,m,n)
Pmarg = zeros(m,n);
for i=1:n
  Pmarg(:,i) = getmargX(P,m,n,i);
end
return