function aphiadd(m0,n0)
global m n
m = m0;
n = n0;

global pstr
pstr = 'aphiadd'
global lstr rstr


global reqstat
reqstat = 0;

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

global LB UB Lmf
Lmf = getLmf(m,n);

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


if ~reqstat
  %DON'T require stationarity
  Aeq = zeros(1,xdim);
  Aeq(1:pdim) = oo';
  Beq=1;
else
  % require stationarity
  Aeq0 = zeros(1,xdim);
  Aeq0(1:pdim) = oo';
  Aeq = is_stat(m,n);
  Aeq = assembleblock({Aeq,zeros(0,fdim)});
  Aeq = [Aeq;Aeq0];
  Beq = zeros(size(Aeq,1),1); Beq(end)=1;
end

Ain = [];
Bin = [];

global A maxr
maxr = 0;
while 1
  if reqstat
    Py = unifP(m,1);
    P = randgivenstat(m,n,Py);
  else
    P = unifP(m,n);
  end
  
  M = randn(m,n);
  
  x = [P(:);M(:)];
  
  y = fmincon(@radrat,x,Ain,Bin,Aeq,Beq,LB,UB);
  
  fprintf('%s: n=%d m=%d; rat = %s/%s;  maxr = %1.9f \n',pstr,n,m,lstr,rstr,maxr);
end

return


function y = radrat(x)
global m n
global lstr rstr pstr
global Lmf
pdim = m^n;
fdim = m*n;
xdim = pdim + fdim;

P = x(1:pdim);
M = x(pdim+1:end);
P = makepos(P);
U = prodmeas(P,m,n);
F = Lmf * M;
[hh,Ht,H] = gethhn(P,m,n);

FP = abs(F'*P);
FU = abs(F'*U);

lstr = 'FP';
rstr = 'FU';


lhs = eval(lstr);
rhs = eval(rstr)+1e-12;
r = lhs/rhs;
y = -r;
global maxr
if r > maxr
  global optP optF
  optP = P;
  optF = F;
  maxr = r;
  fprintf('%s: n=%d m=%d; rat = %s/%s;  maxr = %1.9f \n',pstr,n,m,lstr,rstr,maxr);
end


return


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


function c=i2c(i,m,n)
dims = repmat(m,[1 n]);
c = ind2coord(i,dims);
return