Sort disjoint sublist: Difference between revisions

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Or, using only standard modules:
Or, importing only sort and elemIndex:
{{Trans|JavaScript}} (ES6)
{{Trans|JavaScript}} (ES6)
<lang haskell>import Data.List (sort, elemIndex)
<lang haskell>import Data.List (sort, elemIndex)
import Data.Maybe (fromMaybe)


disjointSort :: [Int] -> [Int] -> [Int]
disjointSort :: [Int] -> [Int] -> [Int]
Line 927: Line 926:
subsetSorted = sort $ (xs !!) <$> indicesSorted
subsetSorted = sort $ (xs !!) <$> indicesSorted
in (\(x, i) ->
in (\(x, i) ->
let iIndex = fromMaybe (-1) (elemIndex i indicesSorted)
case elemIndex i indicesSorted of
in if iIndex == -1
Nothing -> x
then x
Just iIndex -> subsetSorted !! iIndex) <$>
else subsetSorted !! iIndex) <$>
zip xs [0 ..]
zip xs [0 ..]



Revision as of 17:28, 8 February 2017

Task
Sort disjoint sublist
You are encouraged to solve this task according to the task description, using any language you may know.

Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, but preserving the values at indices outside the set of those to be sorted.

Make your example work with the following list of values and set of indices:

   values: [7, 6, 5, 4, 3, 2, 1, 0]
   indices: {6, 1, 7}

Where the correct result would be:

   [7, 0, 5, 4, 3, 2, 1, 6].

Note that for one based, rather than the zero-based indexing above, use the indices: {7, 2, 8}. The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.

Cf.

Ada

<lang Ada>with Ada.Text_IO, GNAT.Bubble_Sort; use Ada.Text_IO;

procedure DisjointSort is

  package Int_Io is new Integer_IO (Integer);
  subtype Index_Range is Natural range 1 .. 8;
  Input_Array : array (Index_Range) of Integer := (7, 6, 5, 4, 3, 2, 1, 0);
  subtype Subindex_Range is Natural range 1 .. 3;
  type Sub_Arrays is array (Subindex_Range) of Integer;
  Sub_Index : Sub_Arrays := (7, 2, 8);
  Sub_Array : Sub_Arrays;
  -- reuse of the somehow generic GNAT.Bubble_Sort (for Ada05)
  procedure Sort (Work_Array : in out Sub_Arrays) is
     procedure Exchange (Op1, Op2 : Natural) is
        Temp : Integer;
     begin
        Temp             := Work_Array (Op1);
        Work_Array (Op1) := Work_Array (Op2);
        Work_Array (Op2) := Temp;
     end Exchange;
     function Lt (Op1, Op2 : Natural) return Boolean is
     begin
        return (Work_Array (Op1) < Work_Array (Op2));
     end Lt;
  begin
     GNAT.Bubble_Sort.Sort
       (N    => Subindex_Range'Last,
        Xchg => Exchange'Unrestricted_Access,
        Lt   => Lt'Unrestricted_Access);
  end Sort;

begin

  -- as the positions are not ordered, first sort the positions
  Sort (Sub_Index);
  -- extract the values to be sorted
  for I in Subindex_Range loop
     Sub_Array (I) := Input_Array (Sub_Index (I));
  end loop;
  Sort (Sub_Array);
  -- put the sorted values at the right place
  for I in Subindex_Range loop
     Input_Array (Sub_Index (I))  := Sub_Array (I);
  end loop;
  for I in Index_Range loop
     Int_Io.Put (Input_Array (I), Width => 2);
  end loop;
  New_Line;

end DisjointSort;</lang>

APL

<lang apl>

     ∇SDS[⎕]∇
   ∇

[0] Z←I SDS L [1] L[I[⍋I]]←Z[⍋Z←L[I←∪I]] [2] Z←L

</lang>

Output:
      ⎕IO←0
      6 1 7 SDS ⎕←⌽⍳8
7 6 5 4 3 2 1 0
7 0 5 4 3 2 1 6

AppleScript

Translation of: JavaScript

Works with versions of AppleScript from OS X 10.10 onwards

<lang AppleScript>use framework "Foundation" -- for basic NSArray sort

-- disjointSort :: [a] -> [Int] -> [a] on disjointSort(xs, indices)

   -- Sequence of indices discarded
   set indicesSorted to my sort(indices)
   
   -- valueByIndex :: Int -> a
   script valueByIndex
       on lambda(i)
           item i of xs
       end lambda
   end script
   
   set subsetSorted to ¬
       sort(map(valueByIndex, indicesSorted))
   
   -- staticOrSorted :: a -> Int -> a
   script staticOrSorted
       on lambda(x, i)
           set iIndex to elemIndex(i, indicesSorted)
           if iIndex is missing value then
               x
           else
               item iIndex of subsetSorted
           end if
       end lambda
   end script
   
   -- Sorted subset re-stitched into unsorted remainder of list
   map(staticOrSorted, xs)
   

end disjointSort


--TEST

on run

   -- The indexing of AppleScript lists is 1-based
   -- so we use {7,2,8} in place of {6,1,7}
   
   disjointSort({7, 6, 5, 4, 3, 2, 1, 0}, {7, 2, 8})

end run


-- GENERIC FUNCTIONS

-- sort :: [a] -> [a] on sort(lst)

   ((current application's NSArray's arrayWithArray:lst)'s ¬
       sortedArrayUsingSelector:"compare:") as list

end sort

-- elemIndex :: a -> [a] -> Maybe Int on elemIndex(x, xs)

   set lng to length of xs
   repeat with i from 1 to lng
       if x = (item i of xs) then return i
   end repeat
   return missing value

end elemIndex

-- map :: (a -> b) -> [a] -> [b] on map(f, xs)

   tell mReturn(f)
       set lng to length of xs
       set lst to {}
       repeat with i from 1 to lng
           set end of lst to lambda(item i of xs, i, xs)
       end repeat
       return lst
   end tell

end map

-- Lift 2nd class handler function into 1st class script wrapper -- mReturn :: Handler -> Script on mReturn(f)

   if class of f is script then
       f
   else
       script
           property lambda : f
       end script
   end if

end mReturn</lang>

Output:

<lang AppleScript>{7, 0, 5, 4, 3, 2, 1, 6}</lang>

BBC BASIC

<lang bbcbasic> INSTALL @lib$+"SORTLIB"

     Sort% = FN_sortinit(0,0) : REM Ascending
     
     DIM list%(7) : list%() = 7, 6, 5, 4, 3, 2, 1, 0
     DIM indices%(2) : indices%() = 6, 1, 7
     
     PROCsortdisjoint(list%(), indices%())
     PRINT FNshowlist(list%())
     END
     
     DEF PROCsortdisjoint(l%(), i%())
     LOCAL C%, i%, n%, t%()
     n% = DIM(i%(),1)
     DIM t%(n%)
     FOR i% = 0 TO n%
       t%(i%) = l%(i%(i%))
     NEXT
     C% = n% + 1
     CALL Sort%, i%(0)
     CALL Sort%, t%(0)
     FOR i% = 0 TO n%
       l%(i%(i%)) = t%(i%)
     NEXT
     ENDPROC
     
     DEF FNshowlist(l%())
     LOCAL i%, o$
     o$ = "["
     FOR i% = 0 TO DIM(l%(),1)
       o$ += STR$(l%(i%)) + ", "
     NEXT
     = LEFT$(LEFT$(o$)) + "]"</lang>

Output:

[7, 0, 5, 4, 3, 2, 1, 6]

Bracmat

<lang bracmat>7 6 5 4 3 2 1 0:?values & 6 1 7:?indices & 0:?sortedValues:?sortedIndices & whl

 ' ( !indices:%?i ?indices
   & !values:? [!i %@?value ?
   & (!value.)+!sortedValues:?sortedValues
   & (!i.)+!sortedIndices:?sortedIndices
   )

& whl

 ' ( !sortedIndices:(?i.)+?sortedIndices
   & !values:?A [!i %@? ?Z
   & !sortedValues:(?value.)+?sortedValues
   & !A !value !Z:?values
   )

& out$!values;</lang> Output:

7 0 5 4 3 2 1 6

C

<lang C>#include <stdio.h>

/* yes, bubble sort */ void bubble_sort(int *idx, int n_idx, int *buf) {

       int i, j, tmp;
  1. define for_ij for (i = 0; i < n_idx; i++) for (j = i + 1; j < n_idx; j++)
  2. define sort(a, b) if (a < b) { tmp = a; a = b; b = tmp;}
       for_ij { sort(idx[j], idx[i]);          }
       for_ij { sort(buf[idx[j]], buf[idx[i]]);}
  1. undef for_ij
  2. undef sort

}

int main() {

       int values[] = {7, 6, 5, 4, 3, 2, 1, 0};
       int idx[] = {6, 1, 7};
       int i;
       printf("before sort:\n");
       for (i = 0; i < 8; i++)
               printf("%d ", values[i]);
       printf("\n\nafter sort:\n");
       bubble_sort(idx, 3, values);
       for (i = 0; i < 8; i++)
               printf("%d ", values[i]);
       printf("\n");
       return 0;

}</lang>

C#

<lang csharp>using System; using System.Linq; using System.Collections.Generic;

public class Test {

   public static void Main()
   {
       var list = new List<int>{ 7, 6, 5, 4, 3, 2, 1, 0 };
       list.SortSublist(6, 1, 7);
       Console.WriteLine(string.Join(", ", list));
   }

}

public static class Extensions {

   public static void SortSublist<T>(this List<T> list, params int[] indices)
       where T : IComparable<T>
   {
       var sublist = indices.OrderBy(i => i)
           .Zip(indices.Select(i => list[i]).OrderBy(v => v),
               (Index, Value) => new { Index, Value });
    
       foreach (var entry in sublist) {
           list[entry.Index] = entry.Value;
       }
   }
    

}</lang>

C++

<lang cpp>#include <algorithm>

  1. include <iostream>
  2. include <iterator>
  3. include <vector>

template <typename ValueIterator, typename IndicesIterator> void sortDisjoint(ValueIterator valsBegin, IndicesIterator indicesBegin, IndicesIterator indicesEnd) {

   std::vector<int> temp;
   for (IndicesIterator i = indicesBegin; i != indicesEnd; ++i)
       temp.push_back(valsBegin[*i]); // extract
   std::sort(indicesBegin, indicesEnd); // sort
   std::sort(temp.begin(), temp.end()); // sort a C++ container
   std::vector<int>::const_iterator j = temp.begin();
   for (IndicesIterator i = indicesBegin; i != indicesEnd; ++i, ++j)
       valsBegin[*i] = *j; // replace

}


int main() {

   int values[] = { 7, 6, 5, 4, 3, 2, 1, 0 };
   int indices[] = { 6, 1, 7 };
   sortDisjoint(values, indices, indices+3);
   std::copy(values, values + 8, std::ostream_iterator<int>(std::cout, " "));
   std::cout << "\n";
   return 0;

}</lang>

Output:
7 0 5 4 3 2 1 6 
Translation of: Go

Solution that sorts using a custom iterator that iterates a disjoint sublist. <lang cpp>#include <algorithm>

  1. include <iostream>
  2. include <iterator>
  3. include <vector>

template <typename ValueIterator, typename IndicesIterator> struct DisjointSubsetIterator :

 public std::iterator<std::random_access_iterator_tag,

typename std::iterator_traits<ValueIterator>::value_type> {

 typedef typename std::iterator_traits<ValueIterator>::value_type V;
 ValueIterator valsBegin;
 IndicesIterator i;
 DisjointSubsetIterator() { }
 DisjointSubsetIterator(const ValueIterator &_v, IndicesIterator _i) :
   valsBegin(_v), i(_i) { }
 DisjointSubsetIterator& operator++() { ++i; return *this; }
 DisjointSubsetIterator operator++(int) {
   DisjointSubsetIterator tmp = *this; ++(*this); return tmp; }
 bool operator==(const DisjointSubsetIterator& y) { return i == y.i; }
 bool operator!=(const DisjointSubsetIterator& y) { return i != y.i; }
 V &operator*() { return valsBegin[*i]; }
 DisjointSubsetIterator& operator--() { --i; return *this; }
 DisjointSubsetIterator operator--(int) {
   DisjointSubsetIterator tmp = *this; --(*this); return tmp; }
 DisjointSubsetIterator& operator+=(int n) { i += n; return *this; }
 DisjointSubsetIterator& operator-=(int n) { i -= n; return *this; }
 DisjointSubsetIterator operator+(int n) {
   DisjointSubsetIterator tmp = *this; return tmp += n; }
 DisjointSubsetIterator operator-(int n) {
   DisjointSubsetIterator tmp = *this; return tmp -= n; }
 int operator-(const DisjointSubsetIterator &y) { return i - y.i; }
 V &operator[](int n) { return *(*this + n); }
 bool operator<(const DisjointSubsetIterator &y) { return i < y.i; }
 bool operator>(const DisjointSubsetIterator &y) { return i > y.i; }
 bool operator<=(const DisjointSubsetIterator &y) { return i <= y.i; }
 bool operator>=(const DisjointSubsetIterator &y) { return i >= y.i; }

}; template <typename ValueIterator, typename IndicesIterator> DisjointSubsetIterator<ValueIterator, IndicesIterator> operator+(int n, const DisjointSubsetIterator<ValueIterator, IndicesIterator> &i) {

 return i + n; }

template <typename ValueIterator, typename IndicesIterator> void sortDisjoint(ValueIterator valsBegin, IndicesIterator indicesBegin, IndicesIterator indicesEnd) {

 std::sort(DisjointSubsetIterator<ValueIterator, IndicesIterator>(valsBegin, indicesBegin),
           DisjointSubsetIterator<ValueIterator, IndicesIterator>(valsBegin, indicesEnd));

}


int main() {

   int values[] = { 7, 6, 5, 4, 3, 2, 1, 0 };
   int indices[] = { 6, 1, 7 };
   sortDisjoint(values, indices, indices+3);
   std::copy(values, values + 8, std::ostream_iterator<int>(std::cout, " "));
   std::cout << "\n";
   return 0;

}</lang>

Output:
7 0 5 4 3 2 1 6 

Clojure

<lang clojure>(defn disjoint-sort [coll idxs]

 (let [val-subset (keep-indexed #(when ((set idxs) %) %2) coll)
       replacements (zipmap (set idxs) (sort val-subset))]
   (apply assoc coll (flatten (seq replacements)))))</lang>
Output:
user=> (disjoint-sort [7 6 5 4 3 2 1 0] #{6 1 7})
[7 0 5 4 3 2 1 6]

Common Lisp

<lang lisp>(defun disjoint-sort (values indices)

 "Destructively perform a disjoin sublist sort on VALUES with INDICES."
 (loop :for element :in
    (sort (loop :for index :across indices
             :collect (svref values index))
          '<)
    :for index :across (sort indices '<)
    :do (setf (svref values index) element))
 values)</lang>
Output:
CL-USER> (disjoint-sort #(7 6 5 4 3 2 1 0) #(6 1 7))
#(7 0 5 4 3 2 1 6)

D

<lang d>import std.algorithm, std.range, std.array;

void main() {

   auto data = [7, 6, 5, 4, 3, 2, 1, 0];
   auto indices = [6, 1, 7];
   data.indexed(indices.sort()).sort();
   assert(data == [7, 0, 5, 4, 3, 2, 1, 6]);

}</lang>

Lower Level version

<lang d>import std.algorithm: swap;

void disjointSort(T, U)(T[] arr, U[] indexes) in {

   if (arr.length == 0)
       assert(indexes.length == 0);
   else {
       foreach (idx; indexes)
           assert(idx >= 0 && idx < arr.length);
   }

} body {

   void quickSort(U* left, U* right) {
       if (right > left) {
           auto pivot = arr[left[(right - left) / 2]];
           auto r = right, l = left;
           do {
               while (arr[*l] < pivot) l++;
               while (arr[*r] > pivot) r--;
               if (l <= r) {
                   swap(arr[*l], arr[*r]);
                   swap(l, r);
                   l++;
                   r--;
               }
           } while (l <= r);
           quickSort(left, r);
           quickSort(l, right);
       }
   }
   if (arr.length == 0 || indexes.length == 0)
       return;
   quickSort(&indexes[0], &indexes[$-1]);

}

void main() {

   auto data = [7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0, 0.0];
   auto indexes = [6, 1, 1, 7];
   disjointSort(data, indexes);
   assert(data == [7.0, 0.0, 5.0, 4.0, 3.0, 2.0, 1.0, 6.0]);

}</lang>

Simple Alternative Version

<lang d>import std.stdio, std.algorithm;

void main() {

   auto data = [7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0, 0.0];
   auto indexes = [6, 1, 1, 7]; // One duplicated added to test.
   // Remove duplicates, in place:
   indexes.length -= indexes.sort().uniq().copy(indexes).length;
   foreach (i, idx; indexes)
       swap(data[i], data[idx]);
   data[0 .. indexes.length].sort();
   foreach_reverse (i, idx; indexes)
       swap(data[idx], data[i]);
   assert(data == [7.0, 0.0, 5.0, 4.0, 3.0, 2.0, 1.0, 6.0]);

}</lang>

EchoLisp

<lang scheme> (define (sort-disjoint values indices)

   (define sorted (list-sort <
   (for/list [(v values) (i (in-naturals))]

#:when (member i indices) v)))

   (for/list [(v values) (i (in-naturals))]

(if (not (member i indices)) v (begin0 (first sorted) (set! sorted (rest sorted))))))

(define (task) (sort-disjoint '[7 6 5 4 3 2 1 0] {6 1 7}))

(task)

   → (7 0 5 4 3 2 1 6)

</lang>

Elixir

<lang elixir>defmodule Sort_disjoint do

 def sublist(values, indices) when is_list(values) and is_list(indices) do
   indices2 = Enum.sort(indices)
   selected = select(values, indices2, 0, []) |> Enum.sort
   replace(values, Enum.zip(indices2, selected), 0, [])
 end
 
 defp select(_, [], _, selected), do: selected
 defp select([val|t], [i|rest], i, selected), do: select(t, rest, i+1, [val|selected])
 defp select([_|t], indices, i, selected), do: select(t, indices, i+1, selected)
 
 defp replace(values, [], _, list), do: Enum.reverse(list, values)
 defp replace([_|t], [{i,v}|rest], i, list), do: replace(t, rest, i+1, [v|list])
 defp replace([val|t], indices, i, list), do: replace(t, indices, i+1, [val|list])

end

values = [7, 6, 5, 4, 3, 2, 1, 0] indices = [6, 1, 7] IO.inspect Sort_disjoint.sublist(values, indices)</lang>

Output:
[7, 0, 5, 4, 3, 2, 1, 6]

Erlang

<lang Erlang> -module( sort_disjoint ).

-export( [sublist/2, task/0] ).

sublist( Values, Indices ) -> Sorted_indices = lists:sort( Indices ), Values_indexes = lists:seq( 1, erlang:length(Values) ), {[], [], Indices_values} = lists:foldl( fun indices_values/2, {Values, Sorted_indices, []}, Values_indexes ), Sorted_indices_values = lists:zip( Sorted_indices, lists:sort(Indices_values) ), {Sorted_values, {[], []}} = lists:mapfoldl( fun merge/2, {Values, Sorted_indices_values}, Values_indexes ), Sorted_values.

task() -> sublist( [7, 6, 5, 4, 3, 2, 1, 0], [7, 2, 8] ).


indices_values( Index, {[H | Values], [Index | Indices], Indices_values} ) -> {Values, Indices, [H | Indices_values]}; indices_values( _Index, {[_H | Values], Indices, Indices_values} ) -> {Values, Indices, Indices_values}.

merge( Index, {[_H | Values], [{Index, Value} | Sorted_indices_values]} ) -> {Value, {Values, Sorted_indices_values}}; merge( _Index, {[H | Values], Sorted_indices_values} ) -> {H, {Values, Sorted_indices_values}}. </lang>

Output:
20> sort_disjoint:task().
[7,0,5,4,3,2,1,6]

ERRE

<lang ERRE>PROGRAM DISJOINT

DIM LST%[7],INDICES%[2]

DIM L%[7],I%[2],Z%[2] PROCEDURE SHOWLIST(L%[]->O$)

     LOCAL I%
     O$="["
     FOR I%=0 TO UBOUND(L%,1) DO
       O$=O$+STR$(L%[I%])+", "
     END FOR
     O$=LEFT$(O$,LEN(O$)-2)+"]"

END PROCEDURE

PROCEDURE SORT(Z%[]->Z%[])

  LOCAL N%,P%,FLIPS%
  P%=UBOUND(Z%,1)
  FLIPS%=TRUE
  WHILE FLIPS% DO
     FLIPS%=FALSE
     FOR N%=0 TO P%-1 DO
       IF Z%[N%]>Z%[N%+1] THEN SWAP(Z%[N%],Z%[N%+1]) FLIPS%=TRUE
     END FOR
  END WHILE

END PROCEDURE

PROCEDURE SortDisJoint(L%[],I%[]->L%[])

     LOCAL J%,N%
     LOCAL DIM T%[2]
     N%=UBOUND(I%,1)
     FOR J%=0 TO N% DO
       T%[J%]=L%[I%[J%]]
     END FOR
     SORT(I%[]->I%[])
     SORT(T%[]->T%[])
     FOR J%=0 TO N% DO
       L%[I%[J%]]=T%[J%]
     END FOR

END PROCEDURE

BEGIN

 LST%[]=(7,6,5,4,3,2,1,0)
 INDICES%[]=(6,1,7)
 SortDisJoint(LST%[],INDICES%[]->LST%[])
 ShowList(LST%[]->O$)
 PRINT(O$)

END PROGRAM</lang>

Output:
[ 7, 0, 5, 4, 3, 2, 1, 6]

Euphoria

<lang euphoria>include sort.e

function uniq(sequence s)

   sequence out
   out = s[1..1]
   for i = 2 to length(s) do
       if not find(s[i], out) then
           out = append(out, s[i])
       end if
   end for
   return out

end function

function disjointSort(sequence s, sequence idx)

   sequence values
   idx = uniq(sort(idx))
   values = repeat(0, length(idx))
   for i = 1 to length(idx) do
       values[i] = s[idx[i]]
   end for
   values = sort(values)
   for i = 1 to length(idx) do
       s[idx[i]] = values[i]
   end for
   return s

end function

constant data = {7, 6, 5, 4, 3, 2, 1, 0} constant indexes = {7, 2, 8}</lang>

Output:

{7,0,5,4,3,2,1,6}

F#

Translation of: Python

Works with arrays instead of lists because this algorithm is more efficient with a random access collection type. Returns a copy of the array, as is usually preferred in F#. <lang fsharp>let sortDisjointSubarray data indices =

 let indices = Set.toArray indices // creates a sorted array
 let result = Array.copy data
 Array.map (Array.get data) indices
 |> Array.sort
 |> Array.iter2 (Array.set result) indices
 result


printfn "%A" (sortDisjointSubarray [|7;6;5;4;3;2;1;0|] (set [6;1;7]))</lang>

Fortran

Works with: Fortran version 90 and later

<lang fortran>program Example

 implicit none
 integer :: array(8) = (/ 7, 6, 5, 4, 3, 2, 1, 0 /)
 integer :: indices(3) = (/ 7, 2, 8 /)

! In order to make the output insensitive to index order ! we need to sort the indices first

 call Isort(indices)

! Should work with any sort routine as long as the dummy ! argument array has been declared as an assumed shape array ! Standard insertion sort used in this example

 call Isort(array(indices))
 write(*,*) array

contains

subroutine Isort(a)

 integer, intent(in out) :: a(:)
 integer :: temp
 integer :: i, j
  
 do i = 2, size(a)
    j = i - 1
    temp = a(i)
    do while (j>=1 .and. a(j)>temp)
       a(j+1) = a(j)
       j = j - 1
    end do
    a(j+1) = temp
 end do
 

end subroutine Isort end program Example</lang> Output

           7           0           5           4           3           2           1           6

Go

<lang go>package main

import (

   "fmt"
   "sort"

)

func main() {

   // givens
   values := []int{7, 6, 5, 4, 3, 2, 1, 0}
   indices := map[int]int{6: 0, 1: 0, 7: 0}
   orderedValues := make([]int, len(indices))
   orderedIndices := make([]int, len(indices))
   i := 0
   for j := range indices {
       // validate that indices are within list boundaries
       if j < 0 || j >= len(values) {
           fmt.Println("Invalid index: ", j)
           return
       }
       // extract elements to sort
       orderedValues[i] = values[j]
       orderedIndices[i] = j
       i++
   }
   // sort
   sort.Ints(orderedValues)
   sort.Ints(orderedIndices)
   fmt.Println("initial:", values)
   // replace sorted values
   for i, v := range orderedValues {
       values[orderedIndices[i]] = v
   }
   fmt.Println("sorted: ", values)

}</lang> Output:

initial: [7 6 5 4 3 2 1 0]
sorted:  [7 0 5 4 3 2 1 6]

Alternative algorithm, sorting in place through the extra level of indirection.

Compared to the strategy of extract-sort-replace, this strategy avoids the space overhead of the work area and the time overhead of extracting and reinserting elements. At some point however, the cost of indirection multiplied by O(log n) would dominate, and extract-sort-replace would become preferable. <lang go>package main

import (

   "fmt"
   "sort"

)

// type and methods satisfying sort.Interface type subListSortable struct {

   values  sort.Interface
   indices []int

}

func (s subListSortable) Len() int {

   return len(s.indices)

}

func (s subListSortable) Swap(i, j int) {

   s.values.Swap(s.indices[i], s.indices[j])

}

func (s subListSortable) Less(i, j int) bool {

   return s.values.Less(s.indices[i], s.indices[j])

}

func main() {

   // givens
   values := []int{7, 6, 5, 4, 3, 2, 1, 0}
   indices := map[int]int{6: 0, 1: 0, 7: 0}
   // make ordered list of indices for sort methods
   ordered := make([]int, len(indices))
   if len(indices) > 0 {
       i := 0
       for j := range indices {
           ordered[i] = j
           i++
       }
       sort.Ints(ordered)
       // validate that indices are within list boundaries
       if ordered[0] < 0 {
           fmt.Println("Invalid index: ", ordered[0])
           return
       }
       if ordered[len(ordered)-1] >= len(values) {
           fmt.Println("Invalid index: ", ordered[len(ordered)-1])
           return
       }
   }
   // instantiate sortable type and sort
   s := subListSortable{sort.IntSlice(values), ordered}
   fmt.Println("initial:", s.values)
   sort.Sort(s)
   fmt.Println("sorted: ", s.values)

}</lang>

Groovy

Groovy allows List-valued indexing to "gather" and "scatter" arbitrary sublists, making the solution almost trivial. <lang groovy>def sparseSort = { a, indices = ([] + (0..<(a.size()))) ->

   indices.sort().unique()
   a[indices] = a[indices].sort()
   a

}</lang>

Test: <lang groovy>def a = [7, 6, 5, 4, 3, 2, 1, 0]

println a println sparseSort(a, []) // no indices to sort println a println sparseSort(a, [6,1,7]) // suggested sample indices println a println sparseSort(a) // default == sort all println a</lang>

Output:

[7, 6, 5, 4, 3, 2, 1, 0]
[7, 6, 5, 4, 3, 2, 1, 0]
[7, 6, 5, 4, 3, 2, 1, 0]
[7, 0, 5, 4, 3, 2, 1, 6]
[7, 0, 5, 4, 3, 2, 1, 6]
[0, 1, 2, 3, 4, 5, 6, 7]
[0, 1, 2, 3, 4, 5, 6, 7]

Haskell

Here are three variations on the solution: using ordinary lists, immutable "boxed" arrays, and mutable "unboxed" arrays.

<lang haskell> import Control.Monad import qualified Data.Array as A import Data.Array.IArray import Data.Array.ST import Data.List import Data.List.Utils

-- Partition 'xs' according to whether their element indices are in 'is'. Sort -- the sublist corresponding to 'is', merging the result with the remainder of -- the list. disSort1 :: (Ord a, Num a, Enum a, Ord b) => [b] -> [a] -> [b] disSort1 xs is = let is' = sort is

                    (sub, rest) = partition ((`elem` is') . fst) $ zip [0..] xs
                in map snd . merge rest . zip is' . sort $ map snd sub

-- Convert the list to an array. Extract the sublist corresponding to the -- indices 'is'. Sort the sublist, replacing those elments in the array. disSort2 :: (Ord a) => [a] -> [Int] -> [a] disSort2 xs is = let as = A.listArray (0, length xs - 1) xs

                    sub = zip (sort is) . sort $ map (as !) is
                in elems $ as // sub

-- Similar to disSort2, but using mutable arrays. The sublist is updated -- "in place", rather than creating a new array. However, this is not visible -- to a caller. disSort3 :: [Int] -> [Int] -> [Int] disSort3 xs is = elems . runSTUArray $ do

                  as <- newListArray (0, length xs - 1) xs
                  sub <- liftM (zip (sort is) . sort) $ mapM (readArray as) is
                  mapM_ (uncurry (writeArray as)) sub
                  return as

main = do

 let xs = [7, 6, 5, 4, 3, 2, 1, 0]
     is = [6, 1, 7]
 print $ disSort1 xs is
 print $ disSort2 xs is
 print $ disSort3 xs is

</lang>


Or, importing only sort and elemIndex:

Translation of: JavaScript

(ES6)

<lang haskell>import Data.List (sort, elemIndex)

disjointSort :: [Int] -> [Int] -> [Int] disjointSort xs indices =

 let indicesSorted = sort indices
     subsetSorted = sort $ (xs !!) <$> indicesSorted
 in (\(x, i) ->
        case elemIndex i indicesSorted of
          Nothing -> x
          Just iIndex -> subsetSorted !! iIndex) <$>
    zip xs [0 ..]

main :: IO () main = print $ disjointSort [7, 6, 5, 4, 3, 2, 1, 0] [6, 1, 7]</lang>

Output:
[7,0,5,4,3,2,1,6]

Icon and Unicon

Icon's lists are 1-based, so the example uses (7, 2, 8) as the indices, not (6, 1 7).

<lang icon> link sort # get the 'isort' procedure for sorting a list

procedure sortDisjoint (items, indices)

 indices := isort (indices) # sort indices into a list
 result := copy (items)
 values := []
 every put (values, result[!indices])
 values := isort (values)
 every result[!indices] := pop (values)
 return result

end

procedure main ()

 # set up and do the sort
 items := [7, 6, 5, 4, 3, 2, 1, 0]
 indices := set(7, 2, 8) # note, Icon lists 1-based
 result := sortDisjoint (items, indices)
 # display result
 every writes (!items || " ")
 write ()
 every writes (!indices || " ")
 write () 
 every writes (!result || " ")
 write () 

end </lang>

Output:

7 6 5 4 3 2 1 0 
2 7 8 
7 0 5 4 3 2 1 6

The expression !indices generates the value of each index in turn, so the line <lang icon>every put (values, result[!indices])</lang> effectively loops through each index, putting result[index] into the list 'values'.

Io

Io does not come with a set type. <lang Io>List disjointSort := method(indices,

   sortedIndices := indices unique sortInPlace
   sortedValues := sortedIndices map(idx,at(idx)) sortInPlace
   sortedValues foreach(i,v,atPut(sortedIndices at(i),v))
   self

)

list(7,6,5,4,3,2,1,0) disjointSort(list(6,1,7)) println</lang>

Output:
list(7, 0, 5, 4, 3, 2, 1, 6)

J

Note that the task requires us to ignore the order of the indices.

<lang j> 7 6 5 4 3 2 1 0 (/:~@:{`[`]}~ /:~@~.) 6 1 7 7 0 5 4 3 2 1 6</lang>

Compare this with: <lang j> 6 1 7 /:~@:{`[`]} 7 6 5 4 3 2 1 0 7 1 5 4 3 2 0 6</lang>

Here, the order of the indices specifies the order we want the selected items to be sorted in: 7 1 5 4 3 2 0 6

Java

Works with: Java version 1.5+

This function will modify the index array and the values list. <lang java5>import java.util.ArrayList; import java.util.Arrays; import java.util.Collections; import java.util.List;

public class Disjoint {

   public static <T extends Comparable<? super T>> void sortDisjoint(
           List<T> array, int[] idxs) {
       Arrays.sort(idxs);
       List<T> disjoint = new ArrayList<T>();
       for (int idx : idxs) {
           disjoint.add(array.get(idx));
       }
       Collections.sort(disjoint);
       int i = 0;
       for (int idx : idxs) {
           array.set(idx, disjoint.get(i++));
       }
   }
   public static void main(String[] args) {
       List<Integer> list = Arrays.asList(7, 6, 5, 4, 3, 2, 1, 0);
       int[] indices = {6, 1, 7};
       System.out.println(list);
       sortDisjoint(list, indices);
       System.out.println(list);
   }

}</lang>

Output:
[7, 6, 5, 4, 3, 2, 1, 0]
[7, 0, 5, 4, 3, 2, 1, 6]
Works with: Java version 1.5+
Translation of: Go

Shorter solution that sorts a list "wrapper" which represents a "view" into the disjoint sublist of the list. <lang java5>import java.util.Arrays; import java.util.Collections; import java.util.List; import java.util.AbstractList;

public class Disjoint {

   public static <T extends Comparable<? super T>> void sortDisjoint(
           final List<T> array, final int[] idxs) {
       Arrays.sort(idxs);
       Collections.sort(new AbstractList<T>() {

public int size() { return idxs.length; } public T get(int i) { return array.get(idxs[i]); } public T set(int i, T x) { return array.set(idxs[i], x); } });

   }
   public static void main(String[] args) {
       List<Integer> list = Arrays.asList(7, 6, 5, 4, 3, 2, 1, 0);
       int[] indices = {6, 1, 7};
       System.out.println(list);
       sortDisjoint(list, indices);
       System.out.println(list);
   }

}</lang>

Output:
[7, 6, 5, 4, 3, 2, 1, 0]
[7, 0, 5, 4, 3, 2, 1, 6]

JavaScript

ES5

Iterative

Does not check for duplicate indices. <lang JavaScript>function sort_disjoint(values, indices) {

 var sublist = [];
 indices.sort(function(a, b) { return a > b; });
 for (var i = 0; i < indices.length; i += 1) {
   sublist.push(values[indices[i]]);
 }
 sublist.sort(function(a, b) { return a < b; });
 for (var i = 0; i < indices.length; i += 1) {
   values[indices[i]] = sublist.pop();
 }
 return values;

}</lang>

Functional

<lang JavaScript>(function () {

   'use strict';
   // disjointSort :: [a] -> [Int] -> [a]
   function disjointSort(xs, indices) {
       // Sequence of indices discarded
       var indicesSorted = indices.sort(),
           subsetSorted = indicesSorted
           .map(function (i) {
               return xs[i];
           })
           .sort();
       return xs
           .map(function (x, i) {
               var iIndex = indicesSorted.indexOf(i);
               return iIndex !== -1 ? (
                   subsetSorted[iIndex]
               ) : x;
           });
   }
   return disjointSort([7, 6, 5, 4, 3, 2, 1, 0], [6, 1, 7])

})();</lang>

Output:
[7, 0, 5, 4, 3, 2, 1, 6]

ES6

<lang JavaScript>(() => {

   'use strict';
   // disjointSort :: [a] -> [Int] -> [a]
   const disjointSort = (xs, indices) => {
       // Sequence of indices discarded
       const indicesSorted = indices.sort(),
           subsetSorted = indicesSorted
           .map(i => xs[i])
           .sort();
           
       return xs
           .map((x, i) => {
               const iIndex = indicesSorted.indexOf(i);
               return iIndex !== -1 ? (
                   subsetSorted[iIndex]
               ) : x;
           });
   };
   return disjointSort([7, 6, 5, 4, 3, 2, 1, 0], [6, 1, 7]);

})();</lang>

Output:
[7, 0, 5, 4, 3, 2, 1, 6]

jq

We define a jq function, disjointSort, that accepts the array of values as input, but for clarity we first define a utility function for updating an array at multiple places: <lang jq>def setpaths(indices; values):

 reduce range(0; indices|length) as $i
   (.; .[indices[$i]] = values[$i]);
     

def disjointSort(indices):

 (indices|unique) as $ix   # "unique" sorts
 # Set $sorted to the sorted array of values at $ix:
 | ([ .[ $ix[] ] ] | sort) as $sorted  
 | setpaths( $ix; $sorted) ;</lang>

Example:<lang jq> [7, 6, 5, 4, 3, 2, 1, 0] | disjointSort( [6, 1, 7] )</lang>produces: [7,0,5,4,3,2,1,6]

Julia

<lang Julia> function sortselected{S<:Real,T<:Integer}(a::AbstractArray{S,1},

                                         s::AbstractArray{T,1})
   sel = unique(sort(s))
   if sel[1] < 1 || length(a) < sel[end]
       throw(ArgumentError("Tried to select outside of input array."))
   end
   b = collect(copy(a))
   b[sel] = sort(b[sel])
   return b

end

a = [7, 6, 5, 4, 3, 2, 1, 0] sel = [7, 2, 8] b = sortselected(a, sel)

print("Original Array: ", a) println(" sorted on ", sel) println("Sorted Array: ", b) </lang>

Output:
Original Array:  [7,6,5,4,3,2,1,0] sorted on  [7,2,8]
Sorted Array:    [7,0,5,4,3,2,1,6]

K

<lang K>

 {@[x;y@<y;:;a@<a:x@y]}[7 6 5 4 3 2 1 0;6 1 7]

7 0 5 4 3 2 1 6 </lang>

Lua

<lang lua>values = { 7, 6, 5, 4, 3, 2, 1, 0 } indices = { 6, 1, 7 }

i = 1 -- discard duplicates while i < #indices do

   j = i + 1
   while j < #indices do

if indices[i] == indices[j] then

 	    table.remove( indices[j] )

end j = j + 1

   end
   i = i + 1

end

for i = 1, #indices do

   indices[i] = indices[i] + 1      -- the tables of lua are one-based

end

vals = {} for i = 1, #indices do

   vals[i] = values[ indices[i] ]

end

table.sort( vals ) table.sort( indices )

for i = 1, #indices do

   values[ indices[i] ] = vals[i]

end

for i = 1, #values do

   io.write( values[i], "  " )

end</lang>

7  0  5  4  3  2  1  6

Mathematica

<lang Mathematica>Values = { 7, 6, 5, 4, 3, 2, 1, 0} ; Indices = { 7, 2, 8 }; Values[[Sort[Indices]]] = Sort[ValuesIndices];

Values -> { 7, 0, 5, 4, 3, 2, 1, 6 }</lang>

NetRexx

<lang NetRexx>/* NetRexx */ options replace format comments java crossref symbols nobinary

runSample(arg) return

-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ method sortDisjoint(oldList, indices) public static

 newList = oldList.space()
 if indices.words() > 1 then do -- only do work if we need to
   subList = ArrayList()
   idxList = ArrayList()
   -- pick the input list apart
   loop ix = 1 to indices.words()
     iw = indices.word(ix)
     nw = oldList.word(iw)
     -- protect against bad outcomes...
     if iw > oldList.words() then signal ArrayIndexOutOfBoundsException()
     if iw < 1               then signal ArrayIndexOutOfBoundsException()
     subList.add(nw)
     idxList.add(iw)
     end ix
   Collections.sort(subList) -- sort sublist
   Collections.sort(idxList) -- sort indices
   -- put it all back together
   loop kx = 0 to subList.size() - 1
     kk = Rexx subList.get(kx)
     ii = Rexx idxList.get(kx)
     newList = newList.subword(1, ii - 1) kk newList.subword(ii + 1)
     end kx
   end
 return newList

-- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ method runSample(arg) private static

 parse arg vList ',' iList
 if vList =  then vList = 7 6 5 4 3 2 1 0
 if iList =  then iList = 7 2 8
 rList = sortDisjoint(vList, iList)
 say 'In: ' vList.space
 say 'Out:' rList.space
 say 'Idx:' iList.space
 return

</lang>

Output:
In:  7 6 5 4 3 2 1 0
Out: 7 0 5 4 3 2 1 6
Idx: 7 2 8

Nim

<lang nim>import algorithm

proc sortDisjoinSublist[T](data: var seq[T], indices: seq[int]) =

 var indices = indices
 sort indices, cmp[T]
 var values: seq[T] = @[]
 for i in indices: values.add data[i]
 sort values, cmp[T]
 for j, i in indices: data[i] = values[j]

var d = @[7, 6, 5, 4, 3, 2, 1, 0] sortDisjoinSublist(d, @[6, 1, 7]) echo d</lang> Output:

@[7, 0, 5, 4, 3, 2, 1, 6]

Objective-C

Translation of: Go

Sorts an array "wrapper" which represents a "view" into the disjoint sublist of the array. <lang objc>#import <Foundation/Foundation.h>

@interface DisjointSublistView : NSMutableArray {

 NSMutableArray *array;
 int *indexes;
 int num_indexes;

} - (instancetype)initWithArray:(NSMutableArray *)a andIndexes:(NSIndexSet *)ind; @end

@implementation DisjointSublistView - (instancetype)initWithArray:(NSMutableArray *)a andIndexes:(NSIndexSet *)ind {

 if ((self = [super init])) {
   array = a;
   num_indexes = [ind count];
   indexes = malloc(num_indexes * sizeof(int));
   for (NSUInteger i = [ind firstIndex], j = 0; i != NSNotFound; i = [ind indexGreaterThanIndex:i], j++)
     indexes[j] = i;
 }
 return self;

} - (void)dealloc {

 free(indexes);

} - (NSUInteger)count { return num_indexes; } - (id)objectAtIndex:(NSUInteger)i { return array[indexes[i]]; } - (void)replaceObjectAtIndex:(NSUInteger)i withObject:(id)x { array[indexes[i]] = x; } @end

@interface NSMutableArray (SortDisjoint) - (void)sortDisjointSublist:(NSIndexSet *)indexes usingSelector:(SEL)comparator; @end @implementation NSMutableArray (SortDisjoint) - (void)sortDisjointSublist:(NSIndexSet *)indexes usingSelector:(SEL)comparator {

 DisjointSublistView *d = [[DisjointSublistView alloc] initWithArray:self andIndexes:indexes];
 [d sortUsingSelector:comparator];

} @end

int main(int argc, const char *argv[]) {

 @autoreleasepool {
 
   NSMutableArray *a = [@[@7, @6, @5, @4, @3, @2, @1, @0] mutableCopy];
   NSMutableIndexSet *ind = [NSMutableIndexSet indexSet];
   [ind addIndex:6]; [ind addIndex:1]; [ind addIndex:7];
   [a sortDisjointSublist:ind usingSelector:@selector(compare:)];
   NSLog(@"%@", a);
 
 }
 return 0;

}</lang>

Output:
(
    7,
    0,
    5,
    4,
    3,
    2,
    1,
    6
)

OCaml

With arrays:

<lang ocaml>let disjoint_sort cmp values indices =

 let temp = Array.map (Array.get values) indices in
 Array.sort cmp temp;
 Array.sort compare indices;
 Array.iteri (fun i j -> values.(j) <- temp.(i)) indices

let () =

 let values = [| 7; 6; 5; 4; 3; 2; 1; 0 |]
 and indices = [| 6; 1; 7 |] in
 disjoint_sort compare values indices;
 Array.iter (Printf.printf " %d") values;
 print_newline()</lang>

With lists:

<lang ocaml>let disjoint_sort cmp values indices =

 let indices = List.sort compare indices in
 let rec aux acc j = function
   | (i::iq), (v::vq) when i = j ->
       aux (v::acc) (succ j) (iq, vq)
   | [], _ -> acc
   | il, (_::vq) ->
       aux acc (succ j) (il, vq)
   | _, [] ->
       invalid_arg "index out of bounds"
 in
 let temp = aux [] 0 (indices, values) in
 let temp = List.sort cmp temp in
 let rec aux acc j = function
   | (i::iq), (_::vq), (r::rq) when i = j ->
       aux (r::acc) (succ j) (iq, vq, rq)
   | [], vl, _ ->
       List.rev_append acc vl
   | il, (v::vq), rl ->
       aux (v::acc) (succ j) (il, vq, rl)
   | (_::_, [], _) ->
       assert false
 in
 aux [] 0 (indices, values, temp)

let () =

 let values = [ 7; 6; 5; 4; 3; 2; 1; 0 ]
 and indices = [ 6; 1; 7 ] in
 let res = disjoint_sort compare values indices in
 List.iter (Printf.printf " %d") res;
 print_newline()</lang>

ooRexx

<lang ooRexx>data = .array~of(7, 6, 5, 4, 3, 2, 1, 0) -- this could be a list, array, or queue as well because of polymorphism -- also, ooRexx arrays are 1-based, so using the alternate index set for the -- problem. indexes = .set~of(7, 2, 8) call disjointSorter data, indexes

say "Sorted data is: ["data~toString("l", ", ")"]"

routine disjointSorter
 use arg data, indexes
 temp = .array~new(indexes~items)
 -- we want to process these in a predictable order, so make an array
 tempIndexes = indexes~makearray
 -- we can't just assign things back in the same order.  The expected
 -- result requires the items be inserted back in first-to-last index
 -- order, so we need to sort the index values too
 tempIndexes~sortWith(.numberComparator~new)
 do index over tempIndexes
    temp~append(data[index])
 end
 -- sort as numbers
 temp~sortwith(.numberComparator~new)
 do i = 1 to tempIndexes~items
    data[tempIndexes[i]] = temp[i]
 end

-- a custom comparator that sorts strings as numeric values rather than -- strings

class numberComparator subclass comparator
method compare
 use strict arg left, right
 -- perform the comparison on the names.  By subtracting
 -- the two and returning the sign, we give the expected
 -- results for the compares
 return (left - right)~sign</lang>
Output:
Sorted data is: [7, 0, 5, 4, 3, 2, 1, 6]

Order

<lang c>#include <order/interpreter.h>

  1. define ORDER_PP_DEF_8sort_disjoint_sublist ORDER_PP_FN( \

8fn(8L, 8I, \

   8lets((8I, 8seq_sort(8less, 8tuple_to_seq(8I)))                   \
         (8J,                                                        \
          8seq_sort(8less, 8seq_map(8fn(8X, 8seq_at(8X, 8L)), 8I))), \
         8replace(8L, 8I, 8J))) )
  1. define ORDER_PP_DEF_8replace ORDER_PP_FN( \

8fn(8L, 8I, 8V, \

   8if(8is_nil(8I),                                         \
       8L,                                                  \
       8replace(8seq_set(8seq_head(8I), 8L, 8seq_head(8V)), \
                8seq_tail(8I), 8seq_tail(8V)))) )

ORDER_PP(

 8sort_disjoint_sublist(8seq(7, 6, 5, 4, 3, 2, 1, 0), 8tuple(6, 1, 7))

)</lang>

PARI/GP

<lang parigp>sortsome(v,which)={

 my(x=sum(i=1,#which,1<<(which[i]-1)),u=vecextract(v,x));
 u=vecsort(u);
 which=vecsort(which);
 for(i=1,#which,v[which[i]]=u[i]);
 v

};</lang>

Perl

<lang Perl>#!/usr/bin/perl -w use strict ;

  1. this function sorts the array in place

sub disjointSort {

  my ( $values , @indices ) = @_ ;
  @{$values}[ sort @indices ] = sort @{$values}[ @indices ] ;

}

my @values = ( 7 , 6 , 5 , 4 , 3 , 2 , 1 , 0 ) ; my @indices = ( 6 , 1 , 7 ) ; disjointSort( \@values , @indices ) ; print "[@values]\n" ;</lang> Output:

[7 0 5 4 3 2 1 6]

Perl 6

Inline

Using L-value slice of the array, and `sort` as a mutating method: <lang perl6>my @values = 7, 6, 5, 4, 3, 2, 1, 0; my @indices = 6, 1, 7;

@values[ @indices.sort ] .= sort;

@values.perl.say;</lang>

Output:

[7, 0, 5, 4, 3, 2, 1, 6]

Iterative

<lang perl6>sub disjointSort( @values is rw , @indices is rw --> List ) {

  my @sortedValues = @values[ @indices ].sort ;
  for @indices.sort -> $insert {
     @values[ $insert ] = @sortedValues.shift ;
  }
  return @values ;

}

my @values = ( 7 , 6 , 5 , 4 , 3 , 2 , 1 , 0 ) ; my @indices = ( 6 , 1 , 7 ) ; my @sortedValues = disjointSort( @values , @indices ) ; @sortedValues.perl.say ;</lang> Output:

[7, 0, 5, 4, 3, 2, 1, 6]

Phix

Lightly modified copy of Euphoria <lang Phix>function uniq(sequence s) integer last=s[1], this, ndx = 1

   for i=2 to length(s) do
       this = s[i]
       if this!=last then
           ndx += 1
           s[ndx] = this
           last = this
       end if
   end for
   return s[1..ndx]

end function

function disjoint_sort(sequence s, sequence idx) sequence copies

   if length(idx)>1 then
       -- must ensure there are no duplicates,
       -- otherwise eg {7,2,8,8} -> {2,7,8,8},
       --          but {1,6,0,0} -> {0,0,1,6}
       idx = uniq(sort(idx))
       copies = repeat(0, length(idx))
       for i=1 to length(idx) do
           copies[i] = s[idx[i]]
       end for
       copies = sort(copies)
       for i=1 to length(idx) do
           s[idx[i]] = copies[i]
       end for
   end if
   return s

end function

?disjoint_sort({7,6,5,4,3,2,1,0},{7,2,8})</lang>

PicoLisp

The indices are incremented here, as PicoLisp is 1-based <lang PicoLisp>(let (Values (7 6 5 4 3 2 1 0) Indices (7 2 8))

  (mapc
     '((V I) (set (nth Values I) V))
     (sort (mapcar '((N) (get Values N)) Indices))
     (sort Indices) )
  Values )</lang>

Output:

-> (7 0 5 4 3 2 1 6)

PowerShell

Works with: PowerShell version 4.0

<lang PowerShell> function sublistsort($values, $indices) {

  $indices = $indices | sort 
  $sub, $i = ($values[$indices] | sort), 0
  $indices | foreach { $values[$_] = $sub[$i++] }
  $values

} $values = 7, 6, 5, 4, 3, 2, 1, 0 $indices = 6, 1, 7 "$(sublistsort $values $indices)" </lang> Output:

7 0 5 4 3 2 1 6

PureBasic

Based on the C implementation <lang PureBasic>Procedure Bubble_sort(Array idx(1), n, Array buf(1))

 Protected i, j
 SortArray(idx(),#PB_Sort_Ascending)
 For i=0 To n
   For j=i+1 To n
     If buf(idx(j)) < buf(idx(i))
       Swap buf(idx(j)), buf(idx(i))
     EndIf
   Next
 Next 

EndProcedure

Procedure main()

 DataSection
   values: Data.i 7, 6, 5, 4, 3, 2, 1, 0
   indices:Data.i 6, 1, 7
 EndDataSection
 
 Dim values.i(7) :CopyMemory(?values, @values(), SizeOf(Integer)*8)
 Dim indices.i(2):CopyMemory(?indices,@indices(),SizeOf(Integer)*3)
 
 If OpenConsole()
   Protected i
   PrintN("Before sort:")
   For i=0 To ArraySize(values())
     Print(Str(values(i))+" ")
   Next
   
   PrintN(#CRLF$+#CRLF$+"After sort:")
   Bubble_sort(indices(), ArraySize(indices()), values())
   For i=0 To ArraySize(values())
     Print(Str(values(i))+" ")
   Next
   
   Print(#CRLF$+#CRLF$+"Press ENTER to exit")
   Input()
 EndIf 

EndProcedure

main()</lang>

Before sort:
7 6 5 4 3 2 1 0

After sort:
7 0 5 4 3 2 1 6

Python

The function modifies the input data list in-place and follows the Python convention of returning None in such cases.

<lang python>>>> def sort_disjoint_sublist(data, indices): indices = sorted(indices) values = sorted(data[i] for i in indices) for index, value in zip(indices, values): data[index] = value


>>> d = [7, 6, 5, 4, 3, 2, 1, 0] >>> i = set([6, 1, 7]) >>> sort_disjoint_sublist(d, i) >>> d [7, 0, 5, 4, 3, 2, 1, 6] >>> # Which could be more cryptically written as: >>> def sort_disjoint_sublist(data, indices): for index, value in zip(sorted(indices), sorted(data[i] for i in indices)): data[index] = value


>>> </lang>

R

R lets you access elements of vectors with a vector of indices.

<lang R> values=c(7,6,5,4,3,2,1,0)

indices=c(7,2,8)
values[sort(indices)]=sort(values[indices])
print(values)</lang>

Output:

 7 0 5 4 3 2 1 6

Racket

<lang Racket>

  1. lang racket

(define (sort-disjoint l is)

 (define xs
   (sort (for/list ([x l] [i (in-naturals)] #:when (memq i is)) x) <))
 (let loop ([l l] [i 0] [xs xs])
   (cond [(null? l) l]
         [(memq i is) (cons (car xs) (loop (cdr l) (add1 i) (cdr xs)))]
         [else        (cons (car l)  (loop (cdr l) (add1 i) xs))])))

(sort-disjoint '(7 6 5 4 3 2 1 0) '(6 1 7))

--> '(7 0 5 4 3 2 1 6)

</lang>

REXX

Duplicate entries in the index list aren't destructive or illegal.

Note that the list may contain numbers in any form (integer, floating point, exponentationed),
as well as alphabetic/alphanumeric/non-displayable characters.

The REXX language uses a one-based index. <lang rexx>/*REXX program uses a disjointed sublist to sort a random list of values*/ parse arg old ',' idx /*get lists from the command line*/ if old= then old=7 6 5 4 3 2 1 0 /*No old? Then use the default.*/ if idx= then idx=7 2 8 /* " idx? " " " " */ say ' list of indices:' idx; say /* [↑] is for one─based lists*/ say ' unsorted list:' old /*display old list.*/ say ' sorted list:' disjoint_sort(old, idx) /*sort, display it.*/ exit /*stick a fork in it, we're done.*/ /*──────────────────────────────────DISJOINT_SORT subroutine────────────*/ disjoint_sort: procedure; parse arg x,ix; y=; z=; p=0 ix=sortL(ix) /*ensure the index list is sorted*/

            do i=1  for  words(ix)    /*extract indexed values from  X.*/
            z=z word(x, word(ix, i))  /*pick the correct value from  X.*/
            end   /*j*/

z=sortL(z) /*sort extracted (indexed) values*/

               do m=1  for words(x)   /*re-build (re-populate)  X list.*/
               if wordpos(m,ix)==0  then y=y word(x,m)    /*same | new?*/
                                    else do;  p=p+1;  y=y word(z,p);  end
               end   /*m*/

return strip(y) /*──────────────────────────────────SORTL subroutine────────────────────*/ sortL: procedure; parse arg L; n=words(L); do j=1 for n; @.j=word(L,j);end

 do k=1  for n-1                      /*sort a list using a slow method*/
   do m=k+1  to n; if @.m<@.k  then parse value @.k @.m with @.m @.k; end
 end   /*k*/                          /* [↑]  use  PARSE  for swapping.*/

$=@.1; do j=2 to n; $=$ @.j; end; return $</lang> output when using the default input:

  list of indices: 7 2 8

    unsorted list: 7 6 5 4 3 2 1 0
      sorted list: 7 0 5 4 3 2 1 6

Ruby

By convention, the exlamation mark in the method name indicates that something potentially dangerous can happen. (In this case, the in place modification). <lang ruby>def sort_disjoint_sublist!(ar, indices)

 values = ar.values_at(*indices).sort
 indices.sort.zip(values).each{ |i,v| ar[i] = v }
 ar

end

values = [7, 6, 5, 4, 3, 2, 1, 0] indices = [6, 1, 7] p sort_disjoint_sublist!(values, indices)</lang> Output

[7, 0, 5, 4, 3, 2, 1, 6]


Run BASIC

Normally we sort with SQLite in memory. Faster and less code <lang runbasic>sortData$ = "7, 6, 5, 4, 3, 2, 1, 0" sortIdx$ = "7, 2, 8"

numSort = 8 dim sortData(numSort) for i = 1 to numSort

  sortData(i) = val(word$(sortData$,i,","))

next i

while word$(sortIdx$,s + 1) <> ""

 s   = s + 1
 idx = val(word$(sortIdx$,s))
 gosub [bubbleSort]

wend end

[bubbleSort] sortSw = 1 while sortSw = 1

sortSw = 0
for i = idx to numSort - 1              ' start sorting at idx
 if sortData(i) > sortData(i+1) then
    sortSw        = 1
    sortHold      = sortData(i)
    sortData(i)   = sortData(i+1)
    sortData(i+1) = sortHold
 end if
next i

wend RETURN</lang>

Scala

Library: Scala

<lang scala>import scala.compat.Platform

object SortedDisjointSubList extends App {

 val (list, subListIndex) = (List(7, 6, 5, 4, 3, 2, 1, 0), List(6, 1, 7))
 def sortSubList[T: Ordering](indexList: List[Int], list: List[T]) = {
   val subListIndex = indexList.sorted
   val sortedSubListMap = subListIndex.zip(subListIndex.map(list(_)).sorted).toMap
   list.zipWithIndex.map { case (value, index) =>
     if (sortedSubListMap.isDefinedAt(index)) sortedSubListMap(index) else value
   }
 }
 assert(sortSubList(subListIndex, list) == List(7, 0, 5, 4, 3, 2, 1, 6), "Incorrect sort")
 println(s"List in sorted order.\nSuccessfully completed without errors. [total ${Platform.currentTime - executionStart} ms]")

}</lang>

Scheme

Works with: Gauche Scheme

<lang Scheme>(use gauche.sequence) (define num-list '(7 6 5 4 3 2 1 0)) (define indices '(6 1 7)) (define table

 (alist->hash-table
   (map cons
     (sort indices)
     (sort indices < (lambda (x) (~ num-list x))))))

(map last

 (sort
   (map-with-index
     (lambda (i x) (list (hash-table-get table i i) x))
     num-list)
   <
   car))</lang>
Output:
(7 0 5 4 3 2 1 6)

Sidef

<lang ruby>func disjointSort(values, indices) {

   values[indices.sort] = [values[indices]].sort...

}

var values = [7, 6, 5, 4, 3, 2, 1, 0]; var indices = [6, 1, 7];

disjointSort(values, indices); say values;</lang>

Output:
[7, 0, 5, 4, 3, 2, 1, 6]

Standard ML

Works with: SML/NJ
Translation of: Go

<lang sml>functor SortDisjointFn (A : MONO_ARRAY) : sig

   val sort : (A.elem * A.elem -> order) -> (A.array * int array) -> unit
 end = struct
   structure DisjointView : MONO_ARRAY = struct
     type elem = A.elem
     type array = A.array * int array
     fun length (a, s) = Array.length s
     fun sub ((a, s), i) = A.sub (a, Array.sub (s, i))
     fun update ((a, s), i, x) = A.update (a, Array.sub (s, i), x)
     (* dummy implementations for not-needed functions *)
     type vector = unit
     val maxLen = Array.maxLen
     fun array _ = raise Domain
     fun fromList _ = raise Domain
     fun tabulate _ = raise Domain
     fun vector _ = raise Domain
     fun copy _ = raise Domain
     fun copyVec _ = raise Domain
     fun appi _ = raise Domain
     fun app _ = raise Domain
     fun modifyi _ = raise Domain
     fun modify _ = raise Domain
     fun foldli _ = raise Domain
     fun foldl _ = raise Domain
     fun foldri _ = raise Domain
     fun foldr _ = raise Domain
     fun findi _ = raise Domain
     fun find _ = raise Domain
     fun exists _ = raise Domain
     fun all _ = raise Domain
     fun collate _ = raise Domain
   end
   structure DisjointViewSort = ArrayQSortFn (DisjointView)
   fun sort cmp (arr, indices) = (
     ArrayQSort.sort Int.compare indices;
     DisjointViewSort.sort cmp (arr, indices)
   )
 end</lang>

Usage:

- structure IntArray = struct
=   open Array
=   type elem = int
=   type array = int Array.array
=   type vector = int Vector.vector
= end;
structure IntArray :
  sig
[ ... rest omitted ]
- structure IntSortDisjoint = SortDisjointFn (IntArray);
structure IntSortDisjoint :
  sig val sort : (A.elem * A.elem -> order) -> A.array * int array -> unit end
- val a = Array.fromList [7, 6, 5, 4, 3, 2, 1, 0];
val a = [|7,6,5,4,3,2,1,0|] : int array
- val indices = Array.fromList [6, 1, 7];
val indices = [|6,1,7|] : int array
- IntSortDisjoint.sort Int.compare (a, indices);
val it = () : unit
- a;
val it = [|7,0,5,4,3,2,1,6|] : int array

Swift

Translation of: Go

Sorts an array "wrapper" which represents a "view" into the disjoint sublist of the array. <lang swift>struct DisjointSublistView<T> : MutableCollectionType {

 let array : UnsafeMutablePointer<T>
 let indexes : [Int]
 
 subscript (position: Int) -> T {
   get {
     return array[indexes[position]]
   }
   set {
     array[indexes[position]] = newValue
   }
 }
 var startIndex : Int { return 0 }
 var endIndex : Int { return indexes.count }
 func generate() -> IndexingGenerator<DisjointSublistView<T>> { return IndexingGenerator(self) }

}

func sortDisjointSublist<T : Comparable>(inout array: [T], indexes: [Int]) {

 var d = DisjointSublistView(array: &array, indexes: sorted(indexes))
 sort(&d)

}

var a = [7, 6, 5, 4, 3, 2, 1, 0] let ind = [6, 1, 7] sortDisjointSublist(&a, ind) println(a)</lang>

Output:
[7, 0, 5, 4, 3, 2, 1, 6]

Tcl

This returns the sorted copy of the list; this is idiomatic for Tcl programs where values are immutable. <lang tcl>package require Tcl 8.5 proc disjointSort {values indices args} {

   # Ensure that we have a unique list of integers, in order
   # We assume there are no end-relative indices
   set indices [lsort -integer -unique $indices]
   # Map from those indices to the values to sort
   set selected {}
   foreach i $indices {lappend selected [lindex $values $i]}
   # Sort the values (using any extra options) and write back to the list
   foreach i $indices v [lsort {*}$args $selected] {

lset values $i $v

   }
   # The updated list is the result
   return $values

}</lang> Demonstration: <lang tcl>set values {7 6 5 4 3 2 1 0} set indices {6 1 7} puts \[[join [disjointSort $values $indices] ", "]\]</lang> Output:

[7, 0, 5, 4, 3, 2, 1, 6]

TUSCRIPT

TUSCRIPT indexing is one based <lang tuscript> $$ MODE TUSCRIPT values="7'6'5'4'3'2'1'0" indices="7'2'8" v_unsorted=SELECT (values,#indices) v_sort=DIGIT_SORT (v_unsorted) i_sort=DIGIT_SORT (indices) LOOP i=i_sort,v=v_sort values=REPLACE (values,#i,v) ENDLOOP PRINT values </lang> Output:

7'0'5'4'3'2'1'6 

Ursala

<lang Ursala>#import std

  1. import nat

disjoint_sort = ^|(~&,num); ("i","v"). (-:(-:)"v"@p nleq-<~~lSrSX ~&rlPlw~|/"i" "v")*lS "v"

  1. cast %nL

t = disjoint_sort({6,1,7},<7,6,5,4,3,2,1,0>)</lang> output:

<7,0,5,4,3,2,1,6>

zkl

<lang zkl>values :=T(7, 6, 5, 4, 3, 2, 1, 0); indices:=T(6, 1, 7);

indices.apply(values.get).sort() // a.get(0) == a[0]

 .zip(indices.sort()) //-->(v,i) == L(L(0,1),L(1,6),L(6,7))
 .reduce(fcn(newList,[(v,i)]){ newList[i]=v; newList },values.copy())
 .println();  // new list</lang>

This is an create-new-object version. An in place version is almost identical: <lang zkl>values :=L(7, 6, 5, 4, 3, 2, 1, 0);

indices.apply(values.get).sort() // a.get(0) == a[0]

 .zip(indices.sort()) //-->(v,i) == L(L(0,1),L(1,6),L(6,7))
 .apply2(fcn([(v,i)],list){ list[i]=v },values);

values.println(); // modified list</lang>

Output:
L(7,0,5,4,3,2,1,6)