.Modelica.Math.Matrices.sort

Information

Syntax

           sorted_M = Matrices.sort(M);
(sorted_M, indices) = Matrices.sort(M, sortRows=true, ascending=true);

Description

Function sort(..) sorts the rows of a Real matrix M in ascending order and returns the result in sorted_M. If the optional argument "sortRows" is false, the columns of the matrix are sorted. If the optional argument "ascending" is false, the rows or columns are sorted in descending order. In the optional second output argument, the indices of the sorted rows or columns with respect to the original matrix are given, such that

sorted_M = if sortedRow then M[indices,:] else M[:,indices];

Example

(M2, i2) := Matrices.sort([2, 1,  0;
                           2, 0, -1]);
     -> M2 = [2, 0, -1;
              2, 1, 0 ];
        i2 = {2,1};

Interface

function sort
  extends Modelica.Icons.Function;
  input Real M[:, :] "Matrix to be sorted";
  input Boolean sortRows = true "= true, if rows are sorted, otherwise columns";
  input Boolean ascending = true "= true, if ascending order, otherwise descending order";
  output Real sorted_M[size(M, 1), size(M, 2)] = M "Sorted matrix";
  output Integer indices[if sortRows then size(M, 1) else size(M, 2)] "sorted_M = if sortRows then M[indices,:] else M[:,indices]";
end sort;