MATLAB: How to iterate three variables having sum one always

Question

Hi I want to do an empirical study in MATLAB where I have three variables over the range 0 to 1 with a constraint that the sum of three variables should be always 1. I want to consider all possible values and then calculate my statistics based on these three variable every time. All the possible values are listed in attached file (sum1). I have tried different things but still didn't get it

P1= 0; P2 = 0;
 for k = 1:10;
        P3 = 1;
        for i = 1:10
        P3 = P3 - 0.1;
        P2 = 1 - P3 - P1;
        sum = P1 + P2 + P3;
        if P2 < 0
            break;
        end
      fprintf('i = %d \t j = %d \t P1 = %f \t P2 = %f \t P3 = %f \t sum = %f \n', i, j, P1, P2, P3, sum);
        end
    %fprintf('\n')
P1= P1 + 0.1;
 end

or this

counter = 0;
P1= 0; 
 for k = 1:10;
     P2 = 0;
      for j = 1:10;
          P3 = 1;
        for i = 1:10
            counter = counter + 1;
           sum = P1 + P2 + P3;
        if sum > 1
            break;
        end
        fprintf('i = %d \t j = %d \t P1 = %f \t P2 = %f \t P3 = %f \t sum = %f \n', i, j, P1, P2, P3, sum);    
        P3 = P3 - 0.1;
        end
        P2 = P2 + 0.1;
      end
      P1 = P1 + 0.1;
 end
 fprintf('counter = %d \n', counter)

I have tried other things like i < j and j < k. or j < k + h with with two loops. Any help will be appreciated.

Answer 1

for P1 = 0 : .1 : 1
  for P2 = 0 : .1 : 1-P1
    P3 = 1 - P1 - P2;
      .... do whatever ...
  end
end