Sort disjoint sublist
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:
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
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, while 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]
- Values:
- Indices:
{6, 1, 7}
- Indices:
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6]
.
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8}
instead.
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>
ALGOL W
Uses the quicksort procedure from the Sorting Algorithms/Quicksort task and a variant for indexed sorting. <lang algolw>begin % sort a disjoint sub-set of a list %
% Quicksorts in-place the array of integers v, from lb to ub % procedure quicksort ( integer array v( * ) ; integer value lb, ub ) ; if ub > lb then begin % more than one element, so must sort % integer left, right, pivot; left := lb; right := ub; % choosing the middle element of the array as the pivot % pivot := v( left + ( ( right + 1 ) - left ) div 2 ); while begin while left <= ub and v( left ) < pivot do left := left + 1; while right >= lb and v( right ) > pivot do right := right - 1; left <= right end do begin integer swap; swap := v( left ); v( left ) := v( right ); v( right ) := swap; left := left + 1; right := right - 1 end while_left_le_right ; quicksort( v, lb, right ); quicksort( v, left, ub ) end quicksort ; % Quicksorts in-place the array of integers v, using % % the indxexes in unsortedIndexes which has bounds lb to ub % % it is assumed all elements of unsortedIndexes are in the % % range for subscripts of v % procedure indexedQuicksort ( integer array v, unsortedIndexes ( * ) ; integer value lb, ub ) ; if ub > lb then begin % more than one element, so must sort % integer array indexes ( lb :: ub ); integer left, right, pivot, p; % sort the indexes % for i := lb until ub do indexes( i ) := unsortedIndexes( i ); quicksort( indexes, lb, ub ); % sort the indexed items of the v array % left := lb; right := ub; % choosing the middle element of the array as the pivot % p := left + ( ( ( right + 1 ) - left ) div 2 ); pivot := v( indexes( p ) ); while begin while left <= ub and v( indexes( left ) ) < pivot do left := left + 1; while right >= lb and v( indexes( right ) ) > pivot do right := right - 1; left <= right end do begin integer swap; swap := v( indexes( left ) ); v( indexes( left ) ) := v( indexes( right ) ); v( indexes( right ) ) := swap; left := left + 1; right := right - 1 end while_left_le_right ; indexedQuicksort( v, indexes, lb, right ); indexedQuicksort( v, indexes, left, ub ) end indexedQuicksort ; begin % task % integer array indexes ( 0 :: 2 ); integer array values ( 0 :: 7 ); integer aPos; aPos := 0; for v := 7, 6, 5, 4, 3, 2, 1, 0 do begin values( aPos ) := v; aPos := aPos + 1 end for_v ; indexes( 0 ) := 6; indexes( 1 ) := 1; indexes( 2 ) := 7; i_w := 1; s_w := 0; % set output formatting % write( "[" ); for v := 0 until 7 do writeon( " ", values( v ) ); writeon( " ]" ); indexedQuicksort( values, indexes, 0, 2 ); writeon( " -> [" ); for v := 0 until 7 do writeon( " ", values( v ) ); writeon( " ]" ) end
end.</lang>
- Output:
[ 7 6 5 4 3 2 1 0 ] -> [ 7 0 5 4 3 2 1 6 ]
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
Functional
Uses Foundation framework (through the ObjC interface), and works with versions of AppleScript from OS X 10.10 onwards.
<lang AppleScript>use AppleScript version "2.4" use framework "Foundation" use scripting additions
-- disjointSort :: [Int] -> [Int] -> [Int]
on disjointSort(ixs, xs)
set ks to sort(ixs) script nth -- 1-based index on |λ|(k) item (succ(k)) of xs end |λ| end script set dct to mapFromList(zip(ks, sort(map(nth, ks)))) script build on |λ|(x, i) set mb to lookupDict(pred(i) as string, dct) if Nothing of mb then x else |Just| of mb end if end |λ| end script map(build, xs)
end disjointSort
on run
disjointSort({6, 1, 7}, {7, 6, 5, 4, 3, 2, 1, 0})
end run
-- GENERIC FUNCTIONS ----------------------------------------------------
-- Just :: a -> Maybe a on Just(x)
{type:"Maybe", Nothing:false, Just:x}
end Just
-- Nothing :: Maybe a on Nothing()
{type:"Maybe", Nothing:true}
end Nothing
-- length :: [a] -> Int on |length|(xs)
set c to class of xs if list is c or string is c then length of xs else (2 ^ 29 - 1) -- (maxInt - simple proxy for non-finite) end if
end |length|
-- lookupDict :: a -> Dict -> Maybe b on lookupDict(k, dct)
set ca to current application set v to (ca's NSDictionary's dictionaryWithDictionary:dct)'s objectForKey:k if v ≠ missing value then Just(item 1 of ((ca's NSArray's arrayWithObject:v) as list)) else Nothing() end if
end lookupDict
-- 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 |λ|(item i of xs, i, xs) end repeat return lst end tell
end map
-- mapFromList :: [(k, v)] -> Dict on mapFromList(kvs)
set tpl to unzip(kvs) script on |λ|(x) x as string end |λ| end script (current application's NSDictionary's ¬ dictionaryWithObjects:(|2| of tpl) ¬ forKeys:map(result, |1| of tpl)) as record
end mapFromList
-- min :: Ord a => a -> a -> a on min(x, y)
if y < x then y else x end if
end min
-- Lift 2nd class handler function into 1st class script wrapper -- mReturn :: First-class m => (a -> b) -> m (a -> b) on mReturn(f)
if class of f is script then f else script property |λ| : f end script end if
end mReturn
-- pred :: Enum a => a -> a on pred(x)
x - 1
end pred
-- sort :: Ord a => [a] -> [a] on sort(xs)
((current application's NSArray's arrayWithArray:xs)'s ¬ sortedArrayUsingSelector:"compare:") as list
end sort
-- succ :: Enum a => a -> a on succ(x)
1 + x
end succ
-- take :: Int -> [a] -> [a] -- take :: Int -> String -> String on take(n, xs)
set c to class of xs if list is c then if 0 < n then items 1 thru min(n, length of xs) of xs else {} end if else if string is c then if 0 < n then text 1 thru min(n, length of xs) of xs else "" end if else if script is c then set ys to {} repeat with i from 1 to n set v to xs's |λ|() if missing value is v then return ys else set end of ys to v end if end repeat return ys else missing value end if
end take
-- Tuple (,) :: a -> b -> (a, b) on Tuple(a, b)
{type:"Tuple", |1|:a, |2|:b, length:2}
end Tuple
-- unzip :: [(a,b)] -> ([a],[b]) on unzip(xys)
set xs to {} set ys to {} repeat with xy in xys set end of xs to |1| of xy set end of ys to |2| of xy end repeat return Tuple(xs, ys)
end unzip
-- zip :: [a] -> [b] -> [(a, b)] on zip(xs, ys)
zipWith(Tuple, xs, ys)
end zip
-- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c] on zipWith(f, xs, ys)
set lng to min(|length|(xs), |length|(ys)) if 1 > lng then return {} set xs_ to take(lng, xs) -- Allow for non-finite set ys_ to take(lng, ys) -- generators like cycle etc set lst to {} tell mReturn(f) repeat with i from 1 to lng set end of lst to |λ|(item i of xs_, item i of ys_) end repeat return lst end tell
end zipWith</lang>
- Output:
<lang AppleScript>{7, 0, 5, 4, 3, 2, 1, 6}</lang>
Idiomatic, vanilla
This works with Mac OS 10.9 or later, and with older systems if an earlier method's used to load the insertion sort handler or that handler's copied into the script.
<lang applescript>use AppleScript version "2.3.1" -- Mac OS 10.9 (Mavericks) or later. use sorter : script "Insertion sort" -- https://www.rosettacode.org/wiki/Sorting_algorithms/Insertion_sort#AppleScript.
on sortValuesAtIndices(values, indices)
set indexedValues to {} repeat with thisIndex in indices set end of indexedValues to item thisIndex of values end repeat set indexCount to (count indices) tell sorter to sort(indexedValues, 1, indexCount) tell sorter to sort(indices, 1, indexCount) repeat with i from 1 to indexCount set thisIndex to item i of indices set item thisIndex of values to item i of indexedValues end repeat return
end sortValuesAtIndices
-- Test code: set values to {7, 6, 5, 4, 3, 2, 1, 0} set indices to {7, 2, 8} -- AppleScript indices are one-based. sortValuesAtIndices(values, indices) return values</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;
- define for_ij for (i = 0; i < n_idx; i++) for (j = i + 1; j < n_idx; j++)
- 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]]);}
- undef for_ij
- 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>
- include <iostream>
- include <iterator>
- 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
Solution that sorts using a custom iterator that iterates a disjoint sublist. <lang cpp>#include <algorithm>
- include <iostream>
- include <iterator>
- 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>
Elena
ELENA 5.0 : <lang elena>import extensions; import system'routines; import system'culture;
extension op {
sortSublist(indices) { var subList := indices.orderBy:(x => x) .zipBy(indices.selectBy:(i => self[i]) .orderBy:(x => x), (index,val => new{ Index = index; Value = val; })) .toArray(); var list := self.clone(); subList.forEach:(r) { list[r.Index] := r.Value }; ^ list }
}
public program() {
var list := new int[]{ 7, 6, 5, 4, 3, 2, 1, 0 }; console.printLine(list.sortSublist(new int[]{6, 1, 7}).asEnumerable())
}</lang>
- Output:
7,0,5,4,3,2,1,6
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#
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>
Factor
<lang factor>: disjoint-sort! ( values indices -- values' )
over <enumerated> nths unzip swap [ natural-sort ] bi@ pick [ set-nth ] curry 2each ;</lang>
- Output:
<lang factor>IN: scratchpad { 7 6 5 4 3 2 1 0 } { 6 1 7 } disjoint-sort! . { 7 0 5 4 3 2 1 6 }</lang>
Fortran
<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 <- (zip (sort is) . sort) Control.Applicative.<$> mapM (readArray as) is mapM_ (uncurry (writeArray as)) sub return as
main :: IO () 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, in terms of Data.Map:
<lang haskell>import Data.Map as M (fromList, keys, lookup)
import Control.Applicative ((<|>))
import Data.Maybe (mapMaybe)
import Data.List (sort)
disjointSort :: [Int] -> [Int] -> [Int] disjointSort ixs xs =
let ks = sort ixs dctAll = fromList $ zip xs [0 ..] dctIx = fromList $ zip ks $ sort (mapMaybe (`M.lookup` dctAll) ks) in mapMaybe ((<|>) <$> (`M.lookup` dctIx) <*> (`M.lookup` dctAll)) (keys dctAll)
main :: IO () main = print $ disjointSort [6, 1, 7] [7, 6, 5, 4, 3, 2, 1, 0]</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
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]
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 :: [Int] -> [Int] -> [Int] const disjointSort = (indices, xs) => { const ks = sort(indices), dct = mapFromList( zip(ks, sort(map(k => xs[k], ks))) ); return map( (x, i) => { const v = dct[i.toString()]; return undefined !== v ? v : x; }, xs ); };
// main :: IO () const main = () => showLog( disjointSort( [6, 1, 7], [7, 6, 5, 4, 3, 2, 1, 0] ) );
// GENERIC FUNCTIONS ----------------------------
// length :: [a] -> Int const length = xs => xs.length || Infinity;
// map :: (a -> b) -> [a] -> [b] const map = (f, xs) => xs.map(f);
// mapFromList :: [(k, v)] -> Dict const mapFromList = kvs => kvs.reduce( (a, kv) => { const k = kv[0]; return Object.assign(a, { [(('string' === typeof k) && k) || showJSON(k)]: kv[1] }); }, {} );
// showJSON :: a -> String const showJSON = x => JSON.stringify(x);
// showLog :: a -> IO () const showLog = (...args) => console.log( args .map(JSON.stringify) .join(' -> ') );
// sort :: Ord a => [a] -> [a] const sort = xs => xs.slice() .sort((a, b) => a < b ? -1 : (a > b ? 1 : 0));
// take :: Int -> [a] -> [a] // take :: Int -> String -> String const take = (n, xs) => xs.constructor.constructor.name !== 'GeneratorFunction' ? ( xs.slice(0, n) ) : [].concat.apply([], Array.from({ length: n }, () => { const x = xs.next(); return x.done ? [] : [x.value]; }));
// Tuple (,) :: a -> b -> (a, b) const Tuple = (a, b) => ({ type: 'Tuple', '0': a, '1': b, length: 2 });
// Use of `take` and `length` here allows for zipping with non-finite // lists - i.e. generators like cycle, repeat, iterate.
// zip :: [a] -> [b] -> [(a, b)] const zip = (xs, ys) => { const lng = Math.min(length(xs), length(ys)); return Infinity !== lng ? (() => { const bs = take(lng, ys); return take(lng, xs).map((x, i) => Tuple(x, bs[i])); })() : zipGen(xs, ys); };
// MAIN --- return main();
})();</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(a::AbstractVector{<:Real}, s::AbstractVector{<:Integer})
sel = unique(sort(s)) if sel[1] < 1 || length(a) < sel[end] throw(BoundsError()) 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)
println("Original: $a\n\tsorted on $sel\n -> sorted array: $b")</lang>
- Output:
Original: [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>
Another way
<lang K> sort : {x[<x]} nums : 7 6 5 4 3 2 1 0 i : sort 6 1 7 nums[i] : sort nums[i] nums 7 0 5 4 3 2 1 6 </lang>
Kotlin
<lang scala>// version 1.1.51
/* in place sort */ fun IntArray.sortDisjoint(indices: Set<Int>) {
val sortedSubset = this.filterIndexed { index, _ -> index in indices }.sorted() if (sortedSubset.size < indices.size) throw IllegalArgumentException("Argument set contains out of range indices") indices.sorted().forEachIndexed { index, value -> this[value] = sortedSubset[index] }
}
fun main(args: Array<String>) {
val values = intArrayOf(7, 6, 5, 4, 3, 2, 1, 0) val indices = setOf(6, 1, 7) println("Original array : ${values.asList()} sorted on indices $indices") values.sortDisjoint(indices) println("Sorted array : ${values.asList()}")
} </lang>
- Output:
Original array : [7, 6, 5, 4, 3, 2, 1, 0] sorted on indices [6, 1, 7] Sorted array : [7, 0, 5, 4, 3, 2, 1, 6]
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
Maple
<lang Maple>sortDisjoint := proc(values, indices::set) local vals,inds,i: vals := sort([seq(values[i], i in indices)]): inds := sort(convert(indices, Array)): for i to numelems(vals) do values(inds[i]) := vals[i]: od: end proc: tst := Array([7,6,5,4,3,2,1,0]): sortDisjoint(tst,{7,2,8});</lang>
- Output:
[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
Nial
<lang Nial>
values := [7, 6, 5, 4, 3, 2, 1, 0] indices := sortup [6, 1, 7] values#indices := sortup values#indices
7 0 5 4 3 2 1 6 </lang>
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
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>
- 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))) )
- 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 ;
- 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]
Phix
<lang Phix>function disjoint_sort(sequence s, sequence idx)
idx = unique(idx) integer l = length(idx) sequence copies = repeat(0, l) for i=1 to l do copies[i] = s[idx[i]] end for copies = sort(copies) for i=1 to l do s[idx[i]] = copies[i] end for return s
end function
?disjoint_sort({7,6,5,4,3,2,1,0},{7,2,8})</lang>
- Output:
{7,0,5,4,3,2,1,6}
Shorter Alternative Version
<lang Phix>function disjoint_sort(sequence s, sequence idx)
return reinstate(s,sort(idx),sort(extract(s,idx)))
end function
?disjoint_sort({7,6,5,4,3,2,1,0},{7,2,8})</lang> same output.
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)
Prolog
Using only predicates marked as "builtin"
<lang Prolog> % === % Problem description % === % http://rosettacode.org/wiki/Sort_disjoint_sublist % % 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, while 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]. % % In case of one-based indexing, rather than the zero-based indexing above, % you would use the indices {7, 2, 8} instead. % % 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.
% ===
% Notes
% ===
% For predicate descriptions, see https://www.swi-prolog.org/pldoc/man?section=preddesc
%
% Solution using only predicates marked "builtin".
%
% - sort/2 is a built-in predicate. When called as sort(A,B) then
% it sorts A to B according to the "standard order of terms",
% (for integers, this means ascending order). It does remove
% duplicates.
% - msort/2 is the same as sort/2 but does not remove duplicates.
%
% Everything is a list as there is no "set" datatype in Prolog.
% ===
% Main predicate (the one that would be exported from a Module)
% sort_disjoint_sublist(+Values,+Indexes,?ValuesSorted)
% ===
sort_disjoint_sublist(Values,Indexes,ValuesSorted) :-
sort(Indexes,IndexesSorted), insert_fresh_vars(0,IndexesSorted,Values,FreshVars,ValsToSort,ValuesFreshened), msort(ValsToSort,ValsSorted), % this is the "sorting of values" % The next two lines could be left out with suitable naming, % but they make explicit what happens: FreshVars = ValsSorted, % fresh variables are unified with sorted variables ValuesSorted = ValuesFreshened. % ValuesFreshend is automatically the sought output
% === % Helper predicate (would not be exported from a Module) % ===
% insert_fresh_vars(+CurIdx,+[I|Is],+[V|Vs],-FreshVars,-ValsToSort,-ValsFreshy) % % CurIdx: Monotonically increasing index into the list of values by % which we iterate. % [I|Is]: Sorted list of indexes of interest. The smallest (leftmost) % element is removed on every "index hit", leaving eventually % an empty list, which gives us the base case. % [V|Vs]: The list of values of interest with the leftmost element the % element with index CurIdx, all elements with lower index % having been discarded. Leftmost element is popped off on % each call. % FreshVars: Constructed as output. If there was an "index hit", the % fresh variable pushed on FreshVars is also pushed on Vars. % ValsToSort: Constructed as output. If there was an "index hit", the % leftmost value from [V|Vs] is pushed on. % ValsFreshy: Constructed as output. If there was an "index hit", a fresh % variable is pushed on. If there was no "index hit", the actual % value from [V|Vs] is pushed on instead.
insert_fresh_vars(CurIdx,[I|Is],[V|Vs],FreshVars,ValsToSort,[V|ValsFreshy]) :-
CurIdx<I, % no index hit, CurIdx is still too small, iterate over value !, succ(CurIdx,NextIdx), insert_fresh_vars(NextIdx,[I|Is],Vs,FreshVars,ValsToSort,ValsFreshy).
insert_fresh_vars(CurIdx,[I|Is],[V|Vs],[Fresh|FreshVars],[V|ValsToSort],[Fresh|ValsFreshy]) :-
CurIdx=I, % index hit, replace value by fresh variable !, succ(CurIdx,NextIdx), insert_fresh_vars(NextIdx,Is,Vs,FreshVars,ValsToSort,ValsFreshy).
insert_fresh_vars(_,[],V,[],[],V). </lang>
Alternatively, using predicates from library(list)
Using append/3
from SWi-Prolog's library(list)
<lang Prolog> % === % Main predicate % ===
sort_disjoint_sublist(Values,Indexes,ValuesSorted) :-
sort(Indexes,IndexesSorted), insert_fresh_vars_by_splintering(IndexesSorted,Values,FreshVars,ValsToSort,ValuesFreshened), msort(ValsToSort,ValsSorted), % this is the "sorting of values" % The next two lines could be left out with suitable naming, % but they make explicit what happens: FreshVars = ValsSorted, % fresh variables are unified with sorted variables ValuesSorted = ValuesFreshened. % ValuesFreshend is automatically the sought output
% === % Helpers % ===
insert_fresh_vars_by_splintering([I|Is],Values,[Fresh|FreshVars],[ValAtI|ValsToSort],ValsFreshyFinal) :-
splinter(Values,I,ValAtI,ValsFront,ValsBack), % splinter Values --> ValsFront + ValAtI + ValsBack append([ValsFront,[Fresh],ValsBack],ValsFreshyNext), % recompose ValsFront + Fresh + ValsBack --> ValuesFreshyNext insert_fresh_vars_by_splintering(Is,ValsFreshyNext,FreshVars,ValsToSort,ValsFreshyFinal).
insert_fresh_vars_by_splintering([],V,[],[],V).
% "splinter" a list into a frontlist, the element at position N and a backlist
splinter(List, N, Elem, Front, Back) :-
length(Front, N), append(Front, [Elem|Back], List).
</lang>
Unit Tests
Test code using the Unit Testing framework of SWI Prolog.
<lang Prolog> % We use the "R" intermediate var to decouple processing by the predicate % from subsequent checking against expected result.
- - begin_tests(sort_disjoint_sublist).
test(rosetta) :- sort_disjoint_sublist([7,6,5,4,3,2,1,0],[6,1,7],R), R = [7,0,5,4,3,2,1,6]. test(another1) :- sort_disjoint_sublist([4,2,1,4,5,5,0,0],[3,4,5,6,7],R), R = [4,2,1,0,0,4,5,5]. test(another2) :- sort_disjoint_sublist([4,2,1,4,5,5,0,0],[0,1,2,3,4],R), R = [1,2,4,4,5,5,0,0]. test(another3) :- sort_disjoint_sublist([4,2,1,4,5,5,0,0],[0,2,4,6],R), R = [0,2,1,4,4,5,5,0]. test(another4) :- sort_disjoint_sublist([4,2,1,4,5,5,0,0],[1,3,5,7],R), R = [4,0,1,2,5,4,0,5]. test(edge1) :- sort_disjoint_sublist([],[],R), R = []. test(edge2) :- sort_disjoint_sublist([3,2,1],[],R), R = [3,2,1]. test(edge3) :- sort_disjoint_sublist([3,2,1],[0],R), R = [3,2,1]. test(edge4) :- sort_disjoint_sublist([3,2,1],[1],R), R = [3,2,1]. test(edge5) :- sort_disjoint_sublist([3,2,1],[2],R), R = [3,2,1]. test(x1) :- sort_disjoint_sublist([3,2,1],[0,1,2],R), R = [1,2,3]. test(x2) :- sort_disjoint_sublist([1,2,3],[0,1,2],R), R = [1,2,3]. test(dups1) :- sort_disjoint_sublist([3,2,1],[1,1,1],R), R = [3,2,1]. test(dups2) :- sort_disjoint_sublist([3,2,1],[2,1,2],R), R = [3,1,2]. test(fail1,[fail]) :- sort_disjoint_sublist([1,2],[0,1,2],_). test(fail2,[fail]) :- sort_disjoint_sublist([],[0,1],_).
- - end_tests(sort_disjoint_sublist).
% --- % Run unit tests. % ---
rt :- run_tests(sort_disjoint_sublist). </lang>
PowerShell
<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>
Or, checking a dictionary for sublist indices, and returning a new (rather than mutated) list:
<lang python>Disjoint sublist sorting
- --------------------- DISJOINT SORT ----------------------
- disjointSort :: [Int] -> [Int] -> [Int]
def disjointSort(ixs):
A copy of the list xs, in which the disjoint sublist of items at zero-based indexes ixs is sorted in a default numeric or lexical order. def go(xs): ks = sorted(ixs) dct = dict(zip(ks, sorted(xs[k] for k in ks))) return [ dct[i] if i in dct else x for i, x in enumerate(xs) ] return go
- -------------------------- TEST --------------------------
- main :: IO ()
def main():
Disjoint sublist at three indices. print( tabulated( 'Disjoint sublist at indices [6, 1, 7] sorted:\n' ) (str)(str)( disjointSort([6, 1, 7]) )([ [7, 6, 5, 4, 3, 2, 1, 0], ['h', 'g', 'f', 'e', 'd', 'c', 'b', 'a'] ]) )
- ------------------------ DISPLAY -------------------------
- tabulated :: String -> (a -> String) ->
- (b -> String) ->
- (a -> b) -> [a] -> String
def tabulated(s):
Heading -> x display function -> fx display function -> f -> value list -> tabular string. def go(xShow, fxShow, f, xs): w = max(map(compose(len)(xShow), xs)) return s + '\n' + '\n'.join( xShow(x).rjust(w, ' ') + ' -> ' + fxShow(f(x)) for x in xs ) return lambda xShow: lambda fxShow: lambda f: lambda xs: go( xShow, fxShow, f, xs )
- compose (<<<) :: (b -> c) -> (a -> b) -> a -> c
def compose(g):
Function composition. return lambda f: lambda x: g(f(x))
if __name__ == '__main__':
main()</lang>
- Output:
Disjoint sublists at indices [6, 1, 7] sorted: [7, 6, 5, 4, 3, 2, 1, 0] -> [7, 0, 5, 4, 3, 2, 1, 6] ['h', 'g', 'f', 'e', 'd', 'c', 'b', 'a'] -> ['h', 'a', 'f', 'e', 'd', 'c', 'b', 'g']
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>
- 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>
Raku
(formerly 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;
say @values;</lang>
Output:
[7, 0, 5, 4, 3, 2, 1, 6]
Iterative
<lang perl6>sub disjointSort( @values, @indices --> 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 ) ; say @sortedValues ;</lang> Output:
[7, 0, 5, 4, 3, 2, 1, 6]
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 normally uses a one-based index. <lang rexx>/*REXX program uses a disjointed sublist to sort a random list of values. */ parse arg old ',' idx /*obtain the optional lists from the CL*/ if old= then old= 7 6 5 4 3 2 1 0 /*Not specified: Then use the default.*/ if idx= then idx= 7 2 8 /* " " " " " " */ say ' list of indices:' idx; say /* [↑] is for one─based lists. */ say ' unsorted list:' old /*display the old list of numbers. */ say ' sorted list:' disjoint_sort(old,idx) /*sort 1st list using 2nd list indices.*/ exit /*stick a fork in it, we're all done. */ /*──────────────────────────────────────────────────────────────────────────────────────*/ 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) /*is the same or new?*/ else do; p= p + 1; y= y word(z, p) end end /*m*/ return strip(y)
/*──────────────────────────────────────────────────────────────────────────────────────*/ sortL: procedure; parse arg L; n= words(L); do j=1 for n; @.j= word(L,j)
end /*j*/ 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 /*m*/ end /*k*/ /* [↑] use PARSE for swapping.*/ $= @.1; do j=2 to n; $= $ @.j end /*j*/ return $</lang>
- output when using the default inputs:
list of indices: 7 2 8 unsorted list: 7 6 5 4 3 2 1 0 sorted list: 7 0 5 4 3 2 1 6
Ring
<lang ring> aList = [7, 6, 5, 4, 3, 2, 1, 0] indList = [7, 2, 8] bList = [] for n = 1 to len(indList)
add(bList,[indList[n],aList[indList[n]]])
next bList1 = sort(bList,1) bList2 = sort(bList,2) for n = 1 to len(bList)
aList[bList1[n][1]] = bList2[n][2]
next showarray(aList)
func showarray vect
svect = "" for n in vect svect += " " + n + "," next ? "[" + left(svect, len(svect) - 1) + "]"
</lang>
- Output:
[7, 0, 5, 4, 3, 2, 1, 6]
Ruby
By convention, the exlamation mark in the method name indicates that something potentially dangerous can happen. (In this case, the in place modification). <lang ruby>def sort_disjoint_sublist!(ar, indices)
values = ar.values_at(*indices).sort indices.sort.zip(values).each{ |i,v| ar[i] = v } ar
end
values = [7, 6, 5, 4, 3, 2, 1, 0] indices = [6, 1, 7] p sort_disjoint_sublist!(values, indices)</lang> Output
[7, 0, 5, 4, 3, 2, 1, 6]
Run BASIC
Normally we sort with SQLite in memory. Faster and less code <lang runbasic>sortData$ = "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>
Rust
<lang rust>use std::collections::BTreeSet;
fn disjoint_sort(array: &mut [impl Ord], indices: &[usize]) {
let mut sorted = indices.to_owned(); sorted.sort_unstable_by_key(|k| &array[*k]); indices .iter() .zip(sorted.iter()) .map(|(&a, &b)| if a > b { (b, a) } else { (a, b) }) .collect::<BTreeSet<_>>() .iter() .for_each(|(a, b)| array.swap(*a, *b))
}
fn main() {
let mut array = [7, 6, 5, 4, 3, 2, 1, 0]; let indices = [6, 1, 7]; disjoint_sort(&mut array, &indices); println!("{:?}", array);
} </lang>
- Output:
[7, 0, 5, 4, 3, 2, 1, 6]
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
<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
<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
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
- import nat
disjoint_sort = ^|(~&,num); ("i","v"). (-:(-:)"v"@p nleq-<~~lSrSX ~&rlPlw~|/"i" "v")*lS "v"
- 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>
Wren
<lang ecmascript>import "/sort" for Sort
// sorts values in place, leaves indices unsorted var sortDisjoint = Fn.new { |values, indices|
var sublist = [] for (ix in indices) sublist.add(values[ix]) Sort.quick(sublist) var i = 0 var indices2 = Sort.merge(indices) for (ix in indices2) { values[ix] = sublist[i] i = i + 1 }
}
var values = [7, 6, 5, 4, 3, 2, 1, 0] var indices = [6, 1, 7] System.print("Initial: %(values)") sortDisjoint.call(values, indices) System.print("Sorted : %(values)")</lang>
- Output:
Initial: [7, 6, 5, 4, 3, 2, 1, 0] Sorted : [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)
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