[sc-users] Re: non random integer partition

[simdax <simoncornaz@xxxxxxxxx>]

Hello, 

nop MagicWindow, what I want is something like
5 => (1, 1, 1, 1, 1) , (2, 1, 1, 1),  (2, 2, 1), (3, 1, 1), (3, 2), (4, 1),
(5)

And as always, thank you Daniel, the enum tool is very useful :D !

But, in reality, my question stays : is it possible to "translate" the first
python func, which seems pretty similar to your function "g" in tutorial,
Daniel

g = { |a,n,ascending = true|
  var p = 0!(n+1);
  { |x,i,col| 
    var order = ((i > 0) && ascending).if { x >= col[i-1] }{ true };
    p[i+1] = p[i] + x;
    order and: {
      (i + 1 < n).if {
        // check if partial sums are not too large
        ascending.if { x }{ 1 } * (n - i) + p[i] <= a
      }{
        // partition check at last index i == n-1
        p[i+1] == a 
      }
    }
  }
};
// Function for listing all partitions of number a with n summands 
~partition = { |a,n,pool,ascending = true| n.enum(pool, g.(a,n,ascending),
true) };


but the python's one seems more direct, as it doesnt need your tool.
Is it a simple translation in SC ? 



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