
Sorting Algorithm

This is a sorting algorithm.   It may be applied to a set of data in order to sort it.    
For comparing various sorts, see compare sorts.  
For other sorting algorithms,   see sorting algorithms,   or:

O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort


Task

Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.

Use a sorting facility provided by the language/library, combined with your own callback comparison function.


Note:   Lexicographic order is case-insensitive.




def quicksort(cmp):
  if length < 2 then .                                     # it is already sorted
  else .[0] as $pivot
    | reduce .[] as $x
      # state: [less, equal, greater]
      ( [ [], [], [] ];                                    # three empty arrays:
        if   $x == $pivot then    .[1] += [$x]             # add x to equal
        else ([$x,$pivot]|cmp) as $order
          | if   $order == 0 then .[1] += [$x]             # ditto
            elif ($order|type) == "number" then
              if $order < 0 then  .[0] += [$x]             # add x to less
              else .[2] += [$x]                            # add x to greater
              end
            else ([$pivot,$x]|cmp) as $order2
              | if $order and $order2 then   .[1] += [$x]  # add x to equal
                elif $order then   .[0] += [$x]            # add x to less
                else .[2] += [$x]                          # add x to greater
                end
            end
        end )
    | (.[0] | quicksort(cmp) ) + .[1] + (.[2] | quicksort(cmp) )
  end ;