function mischeck(m)

while 1

  A = pnormdim(rand(m),1);
  B = pnormdim(rand(m),1);
  lam = rand;
  AB = lam*A + (1-lam)*B;
  
  f1 = lambda2(A);
  f2 = lambda2(B);
  f3 = lambda2(AB);
  
  good = f3 + 1e-9 < lam*f1 + (1-lam)*f2
  if ~good
    keyboard
  end
  
end
return
for t=1:100

  m = 2;
  %a = randn(m,1);
  %a(m+1) = 1-sum(a);
  %b = randn(m,1);
  %b(m+1) = 1-sum(b);
  a = rand(m+1,1); a=a/sum(a);
  b = rand(m+1,1); b=b/sum(b);
  
  s1 = sum(abs(a-b));
  s2 = 2*sum(abs(a(1:m)-b(1:m)));
  
  d = abs(s1-s2);
  if d<=1e-10
    'good'
  else
    keyboard
  end
  
end
return