Sorting algorithms/Comb sort
You are encouraged to solve this task according to the task description, using any language you may know.
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
- Task
Implement a comb sort.
The Comb Sort is a variant of the Bubble Sort.
Like the Shell sort, the Comb Sort increases the gap used in comparisons and exchanges.
Dividing the gap by works best, but 1.3 may be more practical.
Some implementations use the insertion sort once the gap is less than a certain amount.
- Also see
- the Wikipedia article: Comb sort.
Variants:
- Combsort11 makes sure the gap ends in (11, 8, 6, 4, 3, 2, 1), which is significantly faster than the other two possible endings.
- Combsort with different endings changes to a more efficient sort when the data is almost sorted (when the gap is small). Comb sort with a low gap isn't much better than the Bubble Sort.
Pseudocode:
function combsort(array input) gap := input.size //initialize gap size loop until gap = 1 and swaps = 0 //update the gap value for a next comb. Below is an example gap := int(gap / 1.25) if gap < 1 //minimum gap is 1 gap := 1 end if i := 0 swaps := 0 //see Bubble Sort for an explanation //a single "comb" over the input list loop until i + gap >= input.size //see Shell sort for similar idea if input[i] > input[i+gap] swap(input[i], input[i+gap]) swaps := 1 // Flag a swap has occurred, so the // list is not guaranteed sorted end if i := i + 1 end loop end loop end function
11l
F combsort(&input)
V gap = input.len
V swaps = 1B
L gap > 1 | swaps
gap = max(1, Int(gap / 1.25))
swaps = 0B
L(i) 0 .< input.len - gap
V j = i + gap
I input[i] > input[j]
swap(&input[i], &input[j])
swaps = 1B
V y = [88, 18, 31, 44, 4, 0, 8, 81, 14, 78, 20, 76, 84, 33, 73, 75, 82, 5, 62, 70]
combsort(&y)
assert(y == sorted(y))
print(y)
- Output:
[0, 4, 5, 8, 14, 18, 20, 31, 33, 44, 62, 70, 73, 75, 76, 78, 81, 82, 84, 88]
360 Assembly
Translation from prototype.
The program uses ASM structured macros and two ASSIST macros to keep the code as short as possible.
* Comb sort 23/06/2016
COMBSORT CSECT
USING COMBSORT,R13 base register
B 72(R15) skip savearea
DC 17F'0' savearea
STM R14,R12,12(R13) prolog
ST R13,4(R15) "
ST R15,8(R13) "
LR R13,R15 "
L R2,N n
BCTR R2,0 n-1
ST R2,GAP gap=n-1
DO UNTIL=(CLC,GAP,EQ,=F'1',AND,CLI,SWAPS,EQ,X'00') repeat
L R4,GAP gap |
MH R4,=H'100' gap*100 |
SRDA R4,32 . |
D R4,=F'125' /125 |
ST R5,GAP gap=int(gap/1.25) |
IF CLC,GAP,LT,=F'1' if gap<1 then -----------+ |
MVC GAP,=F'1' gap=1 | |
ENDIF , end if <-----------------+ |
MVI SWAPS,X'00' swaps=false |
LA RI,1 i=1 |
DO UNTIL=(C,R3,GT,N) do i=1 by 1 until i+gap>n ---+ |
LR R7,RI i | |
SLA R7,2 . | |
LA R7,A-4(R7) r7=@a(i) | |
LR R8,RI i | |
A R8,GAP i+gap | |
SLA R8,2 . | |
LA R8,A-4(R8) r8=@a(i+gap) | |
L R2,0(R7) temp=a(i) | |
IF C,R2,GT,0(R8) if a(i)>a(i+gap) then ---+ | |
MVC 0(4,R7),0(R8) a(i)=a(i+gap) | | |
ST R2,0(R8) a(i+gap)=temp | | |
MVI SWAPS,X'01' swaps=true | | |
ENDIF , end if <-----------------+ | |
LA RI,1(RI) i=i+1 | |
LR R3,RI i | |
A R3,GAP i+gap | |
ENDDO , end do <---------------------+ |
ENDDO , until gap=1 and not swaps <------+
LA R3,PG pgi=0
LA RI,1 i=1
DO WHILE=(C,RI,LE,N) do i=1 to n -------+
LR R1,RI i |
SLA R1,2 . |
L R2,A-4(R1) a(i) |
XDECO R2,XDEC edit a(i) |
MVC 0(4,R3),XDEC+8 output a(i) |
LA R3,4(R3) pgi=pgi+4 |
LA RI,1(RI) i=i+1 |
ENDDO , end do <-----------+
XPRNT PG,L'PG print buffer
L R13,4(0,R13) epilog
LM R14,R12,12(R13) "
XR R15,R15 "
BR R14 exit
A DC F'4',F'65',F'2',F'-31',F'0',F'99',F'2',F'83',F'782',F'1'
DC F'45',F'82',F'69',F'82',F'104',F'58',F'88',F'112',F'89',F'74'
N DC A((N-A)/L'A) number of items of a
GAP DS F gap
SWAPS DS X flag for swaps
PG DS CL80 output buffer
XDEC DS CL12 temp for edit
YREGS
RI EQU 6 i
END COMBSORT
- Output:
-31 0 1 2 2 4 45 58 65 69 74 82 82 83 88 89 99 104 112 782
AArch64 Assembly
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program combSort64.s */
/*******************************************/
/* Constantes file */
/*******************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeConstantesARM64.inc"
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessSortOk: .asciz "Table sorted.\n"
szMessSortNok: .asciz "Table not sorted !!!!!.\n"
sMessResult: .asciz "Value : @ \n"
szCarriageReturn: .asciz "\n"
.align 4
#TableNumber: .quad 1,3,6,2,5,9,10,8,4,7
TableNumber: .quad 10,9,8,7,6,-5,4,3,2,1
.equ NBELEMENTS, (. - TableNumber) / 8
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
ldr x0,qAdrTableNumber // address number table
mov x1,0
mov x2,NBELEMENTS // number of élements
bl combSort
ldr x0,qAdrTableNumber // address number table
bl displayTable
ldr x0,qAdrTableNumber // address number table
mov x1,NBELEMENTS // number of élements
bl isSorted // control sort
cmp x0,1 // sorted ?
beq 1f
ldr x0,qAdrszMessSortNok // no !! error sort
bl affichageMess
b 100f
1: // yes
ldr x0,qAdrszMessSortOk
bl affichageMess
100: // standard end of the program
mov x0,0 // return code
mov x8,EXIT // request to exit program
svc 0 // perform the system call
qAdrsZoneConv: .quad sZoneConv
qAdrszCarriageReturn: .quad szCarriageReturn
qAdrsMessResult: .quad sMessResult
qAdrTableNumber: .quad TableNumber
qAdrszMessSortOk: .quad szMessSortOk
qAdrszMessSortNok: .quad szMessSortNok
/******************************************************************/
/* control sorted table */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the number of elements > 0 */
/* x0 return 0 if not sorted 1 if sorted */
isSorted:
stp x2,lr,[sp,-16]! // save registers
stp x3,x4,[sp,-16]! // save registers
mov x2,0
ldr x4,[x0,x2,lsl 3]
1:
add x2,x2,1
cmp x2,x1
bge 99f
ldr x3,[x0,x2, lsl 3]
cmp x3,x4
blt 98f
mov x4,x3
b 1b
98:
mov x0,0 // not sorted
b 100f
99:
mov x0,1 // sorted
100:
ldp x3,x4,[sp],16 // restaur 2 registers
ldp x2,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/******************************************************************/
/* comb sort */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the first element */
/* x2 contains the number of element */
/* this routine use à factor to 1.28 see wikipedia for best factor */
combSort:
stp x1,lr,[sp,-16]! // save registers
stp x2,x3,[sp,-16]! // save registers
stp x4,x5,[sp,-16]! // save registers
stp x6,x7,[sp,-16]! // save registers
stp x8,x9,[sp,-16]! // save registers
sub x9,x2,x1 // compute gap
sub x2,x2,1 // compute end index n - 1
mov x7,100
1: // start loop 1
mul x9,x7,x9 // gap multiply by 100
lsr x9,x9,7 // divide by 128
cmp x9,0
mov x3,1
csel x9,x9,x3,ne
mov x3,x1 // start index
mov x8,0 // swaps
2: // start loop 2
add x4,x3,x9 // add gap to indice
cmp x4,x2
bgt 4f
ldr x5,[x0,x3,lsl 3] // load value A[j]
ldr x6,[x0,x4,lsl 3] // load value A[j+1]
cmp x6,x5 // compare value
bge 3f
str x6,[x0,x3,lsl 3] // if smaller inversion
str x5,[x0,x4,lsl 3]
mov x8,1 // swaps
3:
add x3,x3,1 // increment index j
b 2b
4:
//bl displayTable
cmp x9,1 // gap = 1 ?
bne 1b // no loop
cmp x8,1 // swaps ?
beq 1b // yes -> loop 1
100:
ldp x8,x9,[sp],16 // restaur 2 registers
ldp x6,x7,[sp],16 // restaur 2 registers
ldp x4,x5,[sp],16 // restaur 2 registers
ldp x2,x3,[sp],16 // restaur 2 registers
ldp x1,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/******************************************************************/
/* Display table elements */
/******************************************************************/
/* x0 contains the address of table */
displayTable:
stp x1,lr,[sp,-16]! // save registers
stp x2,x3,[sp,-16]! // save registers
mov x2,x0 // table address
mov x3,0
1: // loop display table
ldr x0,[x2,x3,lsl 3]
ldr x1,qAdrsZoneConv
bl conversion10S // décimal conversion
ldr x0,qAdrsMessResult
ldr x1,qAdrsZoneConv
bl strInsertAtCharInc // insert result at @ character
bl affichageMess // display message
add x3,x3,1
cmp x3,NBELEMENTS - 1
ble 1b
ldr x0,qAdrszCarriageReturn
bl affichageMess
mov x0,x2
100:
ldp x2,x3,[sp],16 // restaur 2 registers
ldp x1,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/********************************************************/
/* File Include fonctions */
/********************************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
Action!
PROC PrintArray(INT ARRAY a INT size)
INT i
Put('[)
FOR i=0 TO size-1
DO
IF i>0 THEN Put(' ) FI
PrintI(a(i))
OD
Put(']) PutE()
RETURN
PROC CombSort(INT ARRAY a INT size)
INT gap,i,tmp
BYTE swaps
gap=size swaps=0
WHILE gap#1 OR swaps#0
DO
gap=(gap*5)/4
IF gap<1 THEN gap=1 FI
i=0
swaps=0
WHILE i+gap<size
DO
IF a(i)>a(i+1) THEN
tmp=a(i) a(i)=a(i+1) a(i+1)=tmp
swaps=1
FI
i==+1
OD
OD
RETURN
PROC Test(INT ARRAY a INT size)
PrintE("Array before sort:")
PrintArray(a,size)
CombSort(a,size)
PrintE("Array after sort:")
PrintArray(a,size)
PutE()
RETURN
PROC Main()
INT ARRAY
a(10)=[1 4 65535 0 3 7 4 8 20 65530],
b(21)=[10 9 8 7 6 5 4 3 2 1 0
65535 65534 65533 65532 65531
65530 65529 65528 65527 65526],
c(8)=[101 102 103 104 105 106 107 108],
d(12)=[1 65535 1 65535 1 65535 1
65535 1 65535 1 65535]
Test(a,10)
Test(b,21)
Test(c,8)
Test(d,12)
RETURN
- Output:
Screenshot from Atari 8-bit computer
Array before sort: [1 4 -1 0 3 7 4 8 20 -6] Array after sort: [-6 -1 0 1 3 4 4 7 8 20] Array before sort: [10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10] Array after sort: [-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10] Array before sort: [101 102 103 104 105 106 107 108] Array after sort: [101 102 103 104 105 106 107 108] Array before sort: [1 -1 1 -1 1 -1 1 -1 1 -1 1 -1] Array after sort: [-1 -1 -1 -1 -1 -1 1 1 1 1 1 1]
ActionScript
function combSort(input:Array)
{
var gap:uint = input.length;
var swapped:Boolean = false;
while(gap > 1 || swapped)
{
gap /= 1.25;
swapped = false;
for(var i:uint = 0; i + gap < input.length; i++)
{
if(input[i] > input[i+gap])
{
var tmp = input[i];
input[i] = input[i+gap];
input[i+gap]=tmp;
swapped = true;
}
}
}
return input;
}
Ada
with Ada.Text_IO;
procedure Comb_Sort is
generic
type Element_Type is private;
type Index_Type is range <>;
type Array_Type is array (Index_Type range <>) of Element_Type;
with function ">" (Left, Right : Element_Type) return Boolean is <>;
with function "+" (Left : Index_Type; Right : Natural) return Index_Type is <>;
with function "-" (Left : Index_Type; Right : Natural) return Index_Type is <>;
procedure Comb_Sort (Data: in out Array_Type);
procedure Comb_Sort (Data: in out Array_Type) is
procedure Swap (Left, Right : in Index_Type) is
Temp : Element_Type := Data(Left);
begin
Data(Left) := Data(Right);
Data(Right) := Temp;
end Swap;
Gap : Natural := Data'Length;
Swap_Occured : Boolean;
begin
loop
Gap := Natural (Float(Gap) / 1.25 - 0.5);
if Gap < 1 then
Gap := 1;
end if;
Swap_Occured := False;
for I in Data'First .. Data'Last - Gap loop
if Data (I) > Data (I+Gap) then
Swap (I, I+Gap);
Swap_Occured := True;
end if;
end loop;
exit when Gap = 1 and not Swap_Occured;
end loop;
end Comb_Sort;
type Integer_Array is array (Positive range <>) of Integer;
procedure Int_Comb_Sort is new Comb_Sort (Integer, Positive, Integer_Array);
Test_Array : Integer_Array := (1, 3, 256, 0, 3, 4, -1);
begin
Int_Comb_Sort (Test_Array);
for I in Test_Array'Range loop
Ada.Text_IO.Put (Integer'Image (Test_Array (I)));
end loop;
Ada.Text_IO.New_Line;
end Comb_Sort;
Output:
-1 0 1 3 3 4 256
ALGOL 68
BEGIN # comb sort #
PR read "rows.incl.a68" PR # include row (array) utilities - SHOW is used to display the array #
# comb-sorts in-place the array of integers input #
PROC comb sort = ( REF[]INT input )VOID:
IF INT input size = ( UPB input - LWB input ) + 1;
input size > 1
THEN # more than one element, so must sort #
INT gap := input size; # initial gap is the whole array size #
BOOL swapped := TRUE;
WHILE gap /= 1 OR swapped DO
# update the gap value for a next comb #
gap := ENTIER ( gap / 1.25 );
IF gap < 1 THEN
# ensure the gap is at least 1 #
gap := 1
FI;
INT i := LWB input;
swapped := FALSE;
# a single "comb" over the input list #
FOR i FROM LWB input WHILE i + gap <= UPB input DO
INT t = input[ i ];
INT i gap = i + gap;
IF t > input[ i gap ] THEN
# need to swap out-of-order items #
input[ i ] := input[ i gap ];
input[ i gap ] := t;
swapped := TRUE # Flag a swap has occurred, so the list is not guaranteed sorted yet #
FI
OD
OD
FI # comb sort # ;
# test #
[ 1 : 7 ]INT data := ( 9, -4, 0, 2, 3, 77, 1 ); # data to sort #
SHOW data;
comb sort( data );
print( ( " -> " ) );
SHOW data
END
- Output:
9 -4 0 2 3 77 1 -> -4 0 1 2 3 9 77
ALGOL W
begin % comb sort %
% comb-sorts in-place the array of integers input with bounds lb :: ub %
procedure combSort ( integer array input ( * )
; integer value lb, ub
) ;
begin
integer inputSize, gap, i;
inputSize := ( ub - lb ) + 1;
if inputSize > 1 then begin
% more than one element, so must sort %
logical swapped;
gap := inputSize; % initial gap is the whole array size %
swapped := true;
while gap not = 1 or swapped do begin
% update the gap value for a next comb %
gap := entier( gap / 1.25 );
if gap < 1 then begin
% ensure the gap is at least 1 %
gap := 1
end if_gap_lt_1 ;
swapped := false;
% a single "comb" over the input list %
i := lb;
while i + gap <= ub do begin
integer t, iGap;
t := input( i );
iGap := i + gap;
if t > input( iGap ) then begin
% need to swap out-of-order items %
input( i ) := input( iGap );
input( iGap ) := t;
swapped := true % Flag a swap has occurred, so the list is not guaranteed sorted yet %
end if_t_gt_input__iGap ;
i := i + 1
end while_i_plus_gap_le_ub
end while_gap_ne_1_or_swapped
end if_inputSize_gt_1
end combSort ;
begin % test %
integer array data ( 1 :: 7 );
integer dPos;
dPos := 0;
for v := 9, -4, 0, 2, 3, 77, 1 do begin dPos := dPos + 1; data( dPos ) := v end;
for i := 1 until 7 do writeon( i_w := 1, s_w := 0, " ", data( i ) );
combSort( data, 1, 7 );
writeon( ( " -> " ) );
for i := 1 until 7 do writeon( i_w := 1, s_w := 0, " ", data( i ) )
end
end.
- Output:
9 -4 0 2 3 77 1 -> -4 0 1 2 3 9 77
AppleScript
-- Comb sort with insertion sort finish.
-- Comb sort algorithm: Włodzimierz Dobosiewicz and Artur Borowy, 1980. Stephen Lacey and Richard Box, 1991.
on combSort(theList, l, r) -- Sort items l thru r of theLIst.
set listLen to (count theList)
if (listLen < 2) then return
-- Negative and/or transposed range indices.
if (l < 0) then set l to listLen + l + 1
if (r < 0) then set r to listLen + r + 1
if (l > r) then set {l, r} to {r, l}
script o
property lst : theList
end script
-- This implementation performs fastest with a comb gap divisor of 1.4
-- and the insertion sort taking over when the gap's down to 8 or less.
set divisor to 1.4
set gap to (r - l + 1) div divisor
repeat while (gap > 8)
repeat with i from l to (r - gap)
set j to i + gap
set lv to o's lst's item i
set rv to o's lst's item j
if (lv > rv) then
set o's lst's item i to rv
set o's lst's item j to lv
end if
end repeat
set gap to gap div divisor
end repeat
insertionSort(theList, l, r)
return -- nothing.
end combSort
on insertionSort(theList, l, r) -- Sort items l thru r of theList.
set listLength to (count theList)
if (listLength < 2) then return
if (l < 0) then set l to listLength + l + 1
if (r < 0) then set r to listLength + r + 1
if (l > r) then set {l, r} to {r, l}
script o
property lst : theList
end script
set highestSoFar to o's lst's item l
set rv to o's lst's item (l + 1)
if (highestSoFar > rv) then
set o's lst's item l to rv
else
set highestSoFar to rv
end if
repeat with j from (l + 2) to r
set rv to o's lst's item j
if (highestSoFar > rv) then
repeat with i from (j - 2) to l by -1
set lv to o's lst's item i
if (lv > rv) then
set o's lst's item (i + 1) to lv
else
set i to i + 1
exit repeat
end if
end repeat
set o's lst's item i to rv
else
set o's lst's item (j - 1) to highestSoFar
set highestSoFar to rv
end if
end repeat
set o's lst's item r to highestSoFar
return -- nothing.
end insertionSort
-- Demo:
local aList
set aList to {7, 56, 70, 22, 94, 42, 5, 25, 54, 90, 29, 65, 87, 27, 4, 5, 86, 8, 2, 30, 87, 12, 85, 86, 7}
combSort(aList, 1, -1) -- Sort items 1 thru -1 of aList.
aList
- Output:
{2, 4, 5, 5, 7, 7, 8, 12, 22, 25, 27, 29, 30, 42, 54, 56, 65, 70, 85, 86, 86, 87, 87, 90, 94}
ARM Assembly
/* ARM assembly Raspberry PI */
/* program combSort.s */
/* REMARK 1 : this program use routines in a include file
see task Include a file language arm assembly
for the routine affichageMess conversion10
see at end of this program the instruction include */
/* for constantes see task include a file in arm assembly */
/************************************/
/* Constantes */
/************************************/
.include "../constantes.inc"
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessSortOk: .asciz "Table sorted.\n"
szMessSortNok: .asciz "Table not sorted !!!!!.\n"
sMessResult: .asciz "Value : @ \n"
szCarriageReturn: .asciz "\n"
.align 4
#TableNumber: .int 1,3,6,2,5,9,10,8,4,7
TableNumber: .int 10,9,8,7,6,5,4,3,2,1
.equ NBELEMENTS, (. - TableNumber) / 4
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
1:
ldr r0,iAdrTableNumber @ address number table
mov r1,#0
mov r2,#NBELEMENTS @ number of élements
bl combSort
ldr r0,iAdrTableNumber @ address number table
bl displayTable
ldr r0,iAdrTableNumber @ address number table
mov r1,#NBELEMENTS @ number of élements
bl isSorted @ control sort
cmp r0,#1 @ sorted ?
beq 2f
ldr r0,iAdrszMessSortNok @ no !! error sort
bl affichageMess
b 100f
2: @ yes
ldr r0,iAdrszMessSortOk
bl affichageMess
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrszCarriageReturn: .int szCarriageReturn
iAdrsMessResult: .int sMessResult
iAdrTableNumber: .int TableNumber
iAdrszMessSortOk: .int szMessSortOk
iAdrszMessSortNok: .int szMessSortNok
/******************************************************************/
/* control sorted table */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the number of elements > 0 */
/* r0 return 0 if not sorted 1 if sorted */
isSorted:
push {r2-r4,lr} @ save registers
mov r2,#0
ldr r4,[r0,r2,lsl #2]
1:
add r2,#1
cmp r2,r1
movge r0,#1
bge 100f
ldr r3,[r0,r2, lsl #2]
cmp r3,r4
movlt r0,#0
blt 100f
mov r4,r3
b 1b
100:
pop {r2-r4,lr}
bx lr @ return
/******************************************************************/
/* comb Sort */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the first element */
/* r2 contains the number of element */
/* this routine use à factor to 1.28 see wikipedia for best factor */
combSort:
push {r1-r9,lr} @ save registers
sub r9,r2,r1 @ compute gap
sub r2,r2,#1 @ compute end index = n - 1
mov r7,#100
1: @ start loop 1
mul r9,r7,r9 @ gap multiply by 100
lsrs r9,#7 @ divide by 128 equi * 0,78125 equi divide by 1,28
moveq r9,#1 @ if gap = 0 -> gap = 1
mov r8,#0 @ swaps
mov r3,r1 @ indice
2: @ start loop 2
add r4,r3,r9
cmp r4,r2 @ end ?
bgt 3f
ldr r5,[r0,r3,lsl #2] @ load value A[j]
ldr r6,[r0,r4,lsl #2] @ load value A[j+1]
cmp r6,r5 @ compare value
strlt r6,[r0,r3,lsl #2] @ if smaller inversion
strlt r5,[r0,r4,lsl #2]
movlt r8,#1 @ swaps = 1
add r3,#1 @ increment indice
b 2b @ loop 2
3:
@ bl displayTable
cmp r9,#1 @ gap = 1 ?
bne 1b
cmp r8,#1 @ swaps ?
beq 1b @ yes -> loop 1
100:
pop {r1-r9,lr}
bx lr @ return
/******************************************************************/
/* Display table elements */
/******************************************************************/
/* r0 contains the address of table */
displayTable:
push {r0-r3,lr} @ save registers
mov r2,r0 @ table address
mov r3,#0
1: @ loop display table
ldr r0,[r2,r3,lsl #2]
ldr r1,iAdrsZoneConv @
bl conversion10S @ décimal conversion
ldr r0,iAdrsMessResult
ldr r1,iAdrsZoneConv @ insert conversion
bl strInsertAtCharInc
bl affichageMess @ display message
add r3,#1
cmp r3,#NBELEMENTS - 1
ble 1b
ldr r0,iAdrszCarriageReturn
bl affichageMess
100:
pop {r0-r3,lr}
bx lr
iAdrsZoneConv: .int sZoneConv
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
Arturo
combSort: function [items][
a: new items
gap: size a
swapped: true
while [or? gap > 1 swapped][
gap: (gap * 10) / 13
if or? gap=9 gap=10 -> gap: 11
if gap<1 -> gap: 1
swapped: false
i: 0
loop gap..dec size items 'j [
if a\[i] > a\[j] [
tmp: a\[i]
a\[i]: a\[j]
a\[j]: tmp
swapped: true
]
i: i + 1
]
]
return a
]
print combSort [3 1 2 8 5 7 9 4 6]
- Output:
1 2 3 4 5 6 7 8 9
AutoHotkey
List1 = 23,76,99,58,97,57,35,89,51,38,95,92,24,46,31,24,14,12,57,78
List2 = 88,18,31,44,4,0,8,81,14,78,20,76,84,33,73,75,82,5,62,70
List2Array(List1, "MyArray")
CombSort("MyArray")
MsgBox, % List1 "`n" Array2List("MyArray")
List2Array(List2, "MyArray")
CombSort("MyArray")
MsgBox, % List2 "`n" Array2List("MyArray")
;---------------------------------------------------------------------------
CombSort(Array) { ; CombSort of Array %Array%, length = %Array%0
;---------------------------------------------------------------------------
Gap := %Array%0
While Gap > 1 Or Swaps {
If (Gap > 1)
Gap := 4 * Gap // 5
i := Swaps := False
While (j := ++i + Gap) <= %Array%0 {
If (%Array%%i% > %Array%%j%) {
Swaps := True
%Array%%i% := (%Array%%j% "", %Array%%j% := %Array%%i%)
}
}
}
}
;---------------------------------------------------------------------------
List2Array(List, Array) { ; creates an array from a comma separated list
;---------------------------------------------------------------------------
global
StringSplit, %Array%, List, `,
}
;---------------------------------------------------------------------------
Array2List(Array) { ; returns a comma separated list from an array
;---------------------------------------------------------------------------
Loop, % %Array%0
List .= (A_Index = 1 ? "" : ",") %Array%%A_Index%
Return, List
}
Message (1) box shows:
23,76,99,58,97,57,35,89,51,38,95,92,24,46,31,24,14,12,57,78 12,14,23,24,24,31,35,38,46,51,57,57,58,76,78,89,92,95,97,99
Message (2) box shows:
88,18,31,44,4,0,8,81,14,78,20,76,84,33,73,75,82,5,62,70 0,4,5,8,14,18,20,31,33,44,62,70,73,75,76,78,81,82,84,88
AWK
function combsort( a, len, gap, igap, swap, swaps, i )
{
gap = len
swaps = 1
while( gap > 1 || swaps )
{
gap /= 1.2473;
if ( gap < 1 ) gap = 1
i = swaps = 0
while( i + gap < len )
{
igap = i + int(gap)
if ( a[i] > a[igap] )
{
swap = a[i]
a[i] = a[igap]
a[igap] = swap
swaps = 1
}
i++;
}
}
}
BEGIN {
a[0] = 5
a[1] = 2
a[2] = 7
a[3] = -11
a[4] = 6
a[5] = 1
combsort( a, length(a) )
for( i=0; i<length(a); i++ )
print a[i]
}
BBC BASIC
DEF PROC_CombSort11(Size%)
gap%=Size%
REPEAT
IF gap% > 1 THEN
gap%=gap% / 1.3
IF gap%=9 OR gap%=10 gap%=11
ENDIF
I% = 1
Finished%=TRUE
REPEAT
IF data%(I%) > data%(I%+gap%) THEN
SWAP data%(I%),data%(I%+gap%)
Finished% = FALSE
ENDIF
I%+=1
UNTIL I%+gap% > Size%
UNTIL gap%=1 AND Finished%
ENDPROC
C
Implementation of Combsort11. Its efficiency can be improved by just switching to Insertion sort when the gap size becomes less than 10.
void Combsort11(double a[], int nElements)
{
int i, j, gap, swapped = 1;
double temp;
gap = nElements;
while (gap > 1 || swapped == 1)
{
gap = gap * 10 / 13;
if (gap == 9 || gap == 10) gap = 11;
if (gap < 1) gap = 1;
swapped = 0;
for (i = 0, j = gap; j < nElements; i++, j++)
{
if (a[i] > a[j])
{
temp = a[i];
a[i] = a[j];
a[j] = temp;
swapped = 1;
}
}
}
}
C#
using System;
namespace CombSort
{
class Program
{
static void Main(string[] args)
{
int[] unsorted = new int[] { 3, 5, 1, 9, 7, 6, 8, 2, 4 };
Console.WriteLine(string.Join(",", combSort(unsorted)));
}
public static int[] combSort(int[] input)
{
double gap = input.Length;
bool swaps = true;
while (gap > 1 || swaps)
{
gap /= 1.247330950103979;
if (gap < 1) { gap = 1; }
int i = 0;
swaps = false;
while (i + gap < input.Length)
{
int igap = i + (int)gap;
if (input[i] > input[igap])
{
int swap = input[i];
input[i] = input[igap];
input[igap] = swap;
swaps = true;
}
i++;
}
}
return input;
}
}
}
C++
This is copied from the Wikipedia article.
template<class ForwardIterator>
void combsort ( ForwardIterator first, ForwardIterator last )
{
static const double shrink_factor = 1.247330950103979;
typedef typename std::iterator_traits<ForwardIterator>::difference_type difference_type;
difference_type gap = std::distance(first, last);
bool swaps = true;
while ( (gap > 1) || (swaps == true) ){
if (gap > 1)
gap = static_cast<difference_type>(gap/shrink_factor);
swaps = false;
ForwardIterator itLeft(first);
ForwardIterator itRight(first); std::advance(itRight, gap);
for ( ; itRight!=last; ++itLeft, ++itRight ){
if ( (*itRight) < (*itLeft) ){
std::iter_swap(itLeft, itRight);
swaps = true;
}
}
}
}
COBOL
This excerpt contains just enough of the procedure division to show the workings. See the example for the bubble sort for a more complete program.
C-PROCESS SECTION.
C-000.
DISPLAY "SORT STARTING".
MOVE WC-SIZE TO WC-GAP.
PERFORM E-COMB UNTIL WC-GAP = 1 AND FINISHED.
DISPLAY "SORT FINISHED".
C-999.
EXIT.
E-COMB SECTION.
E-000.
IF WC-GAP > 1
DIVIDE WC-GAP BY 1.3 GIVING WC-GAP
IF WC-GAP = 9 OR 10
MOVE 11 TO WC-GAP.
MOVE 1 TO WC-SUB-1.
MOVE "Y" TO WF-FINISHED.
PERFORM F-SCAN UNTIL WC-SUB-1 + WC-GAP > WC-SIZE.
E-999.
EXIT.
F-SCAN SECTION.
F-000.
ADD WC-SUB-1 WC-GAP GIVING WC-SUB-2.
IF WB-ENTRY(WC-SUB-1) > WB-ENTRY(WC-SUB-2)
MOVE WB-ENTRY(WC-SUB-1) TO WC-TEMP
MOVE WB-ENTRY(WC-SUB-2) TO WB-ENTRY(WC-SUB-1)
MOVE WC-TEMP TO WB-ENTRY(WC-SUB-2)
MOVE "N" TO WF-FINISHED.
ADD 1 TO WC-SUB-1.
F-999.
EXIT.
Common Lisp
(defparameter *shrink* 1.3)
(defun comb-sort (input)
(loop with input-size = (length input)
with gap = input-size
with swapped
do (when (> gap 1)
(setf gap (floor gap *shrink*)))
(setf swapped nil)
(loop for lo from 0
for hi from gap below input-size
when (> (aref input lo) (aref input hi))
do (rotatef (aref input lo) (aref input hi))
(setf swapped t))
while (or (> gap 1) swapped)
finally (return input)))
D
import std.stdio, std.algorithm;
void combSort(T)(T[] input) pure nothrow @safe @nogc {
int gap = input.length;
bool swaps = true;
while (gap > 1 || swaps) {
gap = max(1, cast(int)(gap / 1.2473));
swaps = false;
foreach (immutable i; 0 .. input.length - gap)
if (input[i] > input[i + gap]) {
input[i].swap(input[i + gap]);
swaps = true;
}
}
}
void main() {
auto data = [28, 44, 46, 24, 19, 2, 17, 11, 25, 4];
data.combSort;
data.writeln;
}
- Output:
[2, 4, 11, 17, 19, 24, 25, 28, 44, 46]
Delphi
Adaptation of Pascal
program Comb_sort;
{$APPTYPE CONSOLE}
uses
System.SysUtils,
System.Types;
type
THelperIntegerDynArray = record helper for TIntegerDynArray
public
procedure CombSort;
procedure FillRange(Count: integer);
procedure Shuffle;
function ToString: string;
end;
{ THelperIntegerDynArray }
procedure THelperIntegerDynArray.CombSort;
var
i, gap, temp: integer;
swapped: boolean;
begin
gap := length(self);
swapped := true;
while (gap > 1) or swapped do
begin
gap := trunc(gap / 1.3);
if (gap < 1) then
gap := 1;
swapped := false;
for i := 0 to length(self) - gap - 1 do
if self[i] > self[i + gap] then
begin
temp := self[i];
self[i] := self[i + gap];
self[i + gap] := temp;
swapped := true;
end;
end;
end;
procedure THelperIntegerDynArray.FillRange(Count: integer);
var
i: Integer;
begin
SetLength(self, Count);
for i := 0 to Count - 1 do
Self[i] := i;
end;
procedure THelperIntegerDynArray.Shuffle;
var
i, j, tmp: integer;
count: integer;
begin
Randomize;
count := Length(self);
for i := 0 to count - 1 do
begin
j := i + Random(count - i);
tmp := self[i];
self[i] := self[j];
self[j] := tmp;
end;
end;
function THelperIntegerDynArray.ToString: string;
var
value: Integer;
begin
Result := '';
for value in self do
begin
Result := Result + ' ' + Format('%4d', [value]);
end;
Result := '[' + Result.Trim + ']';
end;
var
data: TIntegerDynArray;
begin
data.FillRange(10);
data.Shuffle;
writeln('The data before sorting:');
Writeln(data.ToString, #10);
data.CombSort;
writeln('The data after sorting:');
Writeln(data.ToString, #10);
Readln;
end.
- Output:
The data before sorting: [1 9 0 6 2 7 3 5 4 8] The data after sorting: [0 1 2 3 4 5 6 7 8 9]
EasyLang
proc combsort . d[] .
gap = len d[]
while gap > 1 or swaps = 1
gap = higher 1 (gap div 1.25)
swaps = 0
for i = 1 to len d[] - gap
j = i + gap
if d[i] > d[j]
swap d[i] d[j]
swaps = 1
.
.
.
.
d[] = [ 88 18 31 44 4 0 8 81 14 78 20 76 84 33 73 75 82 5 62 70 ]
combsort d[]
print d[]
- Output:
[ 0 4 5 8 14 18 20 31 33 44 62 70 73 75 76 78 81 82 84 88 ]
Eiffel
class
COMB_SORT [G -> COMPARABLE]
feature
combsort (ar: ARRAY [G]): ARRAY [G]
-- Sorted array in ascending order.
require
array_not_void: ar /= Void
local
gap, i: INTEGER
swap: G
swapped: BOOLEAN
shrink: REAL_64
do
create Result.make_empty
Result.deep_copy (ar)
gap := Result.count
from
until
gap = 1 and swapped = False
loop
from
i := Result.lower
swapped := False
until
i + gap > Result.count
loop
if Result [i] > Result [i + gap] then
swap := Result [i]
Result [i] := Result [i + gap]
Result [i + gap] := swap
swapped := True
end
i := i + 1
end
shrink := gap / 1.3
gap := shrink.floor
if gap < 1 then
gap := 1
end
end
ensure
Result_is_set: Result /= Void
Result_is_sorted: is_sorted (Result)
end
feature {NONE}
is_sorted (ar: ARRAY [G]): BOOLEAN
--- Is 'ar' sorted in ascending order?
require
ar_not_empty: ar.is_empty = False
local
i: INTEGER
do
Result := True
from
i := ar.lower
until
i = ar.upper
loop
if ar [i] > ar [i + 1] then
Result := False
end
i := i + 1
end
end
end
Test:
class
APPLICATION
create
make
feature
make
do
test := <<1, 5, 99, 2, 95, 7, -7>>
io.put_string ("unsorted" + "%N")
across
test as ar
loop
io.put_string (ar.item.out + "%T")
end
io.put_string ("%N" + "sorted:" + "%N")
create combsort
test := combsort.combsort (test)
across
test as ar
loop
io.put_string (ar.item.out + "%T")
end
end
combsort: COMB_SORT [INTEGER]
test: ARRAY [INTEGER]
end
- Output:
unsorted: 1 5 99 2 95 7 -7 sorted: -7 1 2 5 7 95 99
Elena
ELENA 5.0 :
import extensions;
import system'math;
import system'routines;
extension op
{
combSort()
{
var list := self.clone();
real gap := list.Length;
bool swaps := true;
while (gap > 1 || swaps)
{
gap /= 1.247330950103979r;
if (gap<1) { gap := 1 };
int i := 0;
swaps := false;
while (i + gap.RoundedInt < list.Length)
{
int igap := i + gap.RoundedInt;
if (list[i] > list[igap])
{
list.exchange(i,igap);
swaps := true
};
i += 1
}
};
^ list
}
}
public program()
{
var list := new int[]{3, 5, 1, 9, 7, 6, 8, 2, 4 };
console.printLine("before:", list.asEnumerable());
console.printLine("after :", list.combSort().asEnumerable())
}
- Output:
before:3,5,1,9,7,6,8,2,4 after :1,2,3,4,5,6,7,8,9
Elixir
defmodule Sort do
def comb_sort([]), do: []
def comb_sort(input) do
comb_sort(List.to_tuple(input), length(input), 0) |> Tuple.to_list
end
defp comb_sort(output, 1, 0), do: output
defp comb_sort(input, gap, _) do
gap = max(trunc(gap / 1.25), 1)
{output,swaps} = Enum.reduce(0..tuple_size(input)-gap-1, {input,0}, fn i,{acc,swap} ->
if (x = elem(acc,i)) > (y = elem(acc,i+gap)) do
{acc |> put_elem(i,y) |> put_elem(i+gap,x), 1}
else
{acc,swap}
end
end)
comb_sort(output, gap, swaps)
end
end
(for _ <- 1..20, do: :rand.uniform(20)) |> IO.inspect |> Sort.comb_sort |> IO.inspect
- Output:
[10, 7, 8, 13, 4, 11, 13, 12, 18, 11, 5, 7, 3, 4, 15, 1, 17, 16, 7, 14] [1, 3, 4, 4, 5, 7, 7, 7, 8, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 18]
Forth
This is an implementation of Comb sort with a different ending. Here Gnome sort is used, since it is rather small. The dataset is rather large, because otherwise the Comb sort routine would never kick in, passing control to Gnome sort almost right away. Note Comb sort can be kept much simpler this way, because Combsort11 optimizations and swapped flags can be discarded.
defer precedes
defer exchange
: gnomesort ( a n)
swap >r 1 ( n c)
begin ( n c)
over over > ( n c f)
while ( n c)
dup if ( n c)
dup dup 1- over over r@ precedes
if r@ exchange 1- else drop drop 1+ then
else 1+ then ( n c)
repeat drop drop r> drop ( --)
;
: combsort ( a n --)
dup begin ( a n g)
10 13 */ tuck >r >r 0 ( a g 0)
begin ( a g 0)
over r@ < ( a g 0 f)
while ( a g 0)
rot >r over over r@ precedes ( g 0 f)
if over over r@ exchange then ( g 0)
r> rot 1+ rot 1+ ( a g 0)
repeat drop drop r> r> ( a n g)
dup 9 < ( a n g f)
until drop gnomesort ( --)
;
create example
8 93 69 52 50 79 33 52 19 77 , , , , , , , , , ,
72 85 11 61 64 80 64 76 47 65 , , , , , , , , , ,
13 47 23 40 87 45 2 48 22 69 , , , , , , , , , ,
1 53 33 60 57 14 76 32 59 12 , , , , , , , , , ,
74 38 39 22 87 28 37 93 71 88 , , , , , , , , , ,
56 35 48 99 21 35 26 28 58 85 , , , , , , , , , ,
27 16 54 88 82 18 45 64 45 87 , , , , , , , , , ,
98 97 60 77 43 1 64 0 32 89 , , , , , , , , , ,
77 90 68 83 9 76 10 10 95 12 , , , , , , , , , ,
99 23 74 58 54 25 50 9 94 1 , , , , , , , , , ,
:noname >r cells r@ + @ swap cells r> + @ swap < ; is precedes
:noname >r cells r@ + swap cells r> + over @ over @ swap rot ! swap ! ; is exchange
: .array 100 0 do example i cells + ? loop cr ;
.array example 100 combsort .array
Less Clever Version
This version is an academic demonstration that aligns with the algorithm. As is, it is limited to use one static array and sorts in ascending order only.
\ combsort for the Forth Newbie (GForth)
HEX
\ gratuitous variables for clarity
0 VALUE GAP
VARIABLE SORTED
DECIMAL
100 CONSTANT SIZE
\ allocate a small array of cells
CREATE Q SIZE 2+ CELLS ALLOT
\ operator to index into the array
: ]Q ( n -- adr) CELLS Q + ;
\ fill array and see array
: INITDATA ( -- ) SIZE 0 DO SIZE I - I ]Q ! LOOP ;
: SEEDATA ( -- ) CR SIZE 0 DO I ]Q @ U. LOOP ;
\ divide by 1.35 using Forth's scaling operator
\ found this ratio to be the fastest
: 1.35/ ( n -- n' ) 100 135 */ ;
: XCHG ( adr1 adr2 -- ) OVER @ OVER @ SWAP ROT ! SWAP ! ;
: COMBSORT ( n -- )
DUP TO GAP \ set GAP to n
BEGIN
GAP 1.35/ TO GAP \ re-compute the gap
SORTED ON
DUP ( -- n) GAP - 0 \ n-gap is loop limit
DO
I GAP + ]Q @ I ]Q @ <
IF
I GAP + ]Q I ]Q XCHG \ Exchange the data in the cells
SORTED OFF \ flag we are not sorted
THEN
LOOP
SORTED @ GAP 0= AND \ test for complete
UNTIL
DROP
;
Fortran
program Combsort_Demo
implicit none
integer, parameter :: num = 20
real :: array(num)
call random_seed
call random_number(array)
write(*,*) "Unsorted array:-"
write(*,*) array
write(*,*)
call combsort(array)
write(*,*) "Sorted array:-"
write(*,*) array
contains
subroutine combsort(a)
real, intent(in out) :: a(:)
real :: temp
integer :: i, gap
logical :: swapped = .true.
gap = size(a)
do while (gap > 1 .or. swapped)
gap = gap / 1.3
if (gap < 1) gap = 1
swapped = .false.
do i = 1, size(a)-gap
if (a(i) > a(i+gap)) then
temp = a(i)
a(i) = a(i+gap)
a(i+gap) = temp;
swapped = .true.
end if
end do
end do
end subroutine combsort
end program Combsort_Demo
FreeBASIC
' version 21-10-2016
' compile with: fbc -s console
' for boundary checks on array's compile with: fbc -s console -exx
Sub compsort(bs() As Long)
' sort from lower bound to the highter bound
' array's can have subscript range from -2147483648 to +2147483647
Dim As Long lb = LBound(bs)
Dim As Long ub = UBound(bs)
Dim As Long gap = ub - lb
Dim As Long done, i
Do
gap = Int (gap / 1.3)
If gap < 1 Then gap = 1
done = 0
For i = lb To ub - gap
If bs(i) > bs(i + gap) Then
Swap bs(i), bs(i + gap)
done = 1
End If
Next
Loop Until ((gap = 1) And (done = 0))
End Sub
Sub comp11sort(bs() As Long)
' sort from lower bound to the higher bound
' array's can have subscript range from -2147483648 to +2147483647
Dim As Long lb = LBound(bs)
Dim As Long ub = UBound(bs)
Dim As Long gap = ub - lb
Dim As Long done, i
Do
gap = Int(gap / 1.24733)
If gap = 9 Or gap = 10 Then
gap = 11
ElseIf gap < 1 Then
gap = 1
End If
done = 0
For i = lb To ub - gap
If bs(i) > bs(i + gap) Then
Swap bs(i), bs(i + gap)
done = 1
End If
Next
Loop Until ((gap = 1) And (done = 0))
End Sub
' ------=< MAIN >=------
Dim As Long i, array(-7 To 7)
Dim As Long a = LBound(array), b = UBound(array)
Randomize Timer
For i = a To b : array(i) = i : Next
For i = a To b ' little shuffle
Swap array(i), array(Int(Rnd * (b - a +1)) + a)
Next
Print "normal comb sort"
Print "unsorted ";
For i = a To b : Print Using "####"; array(i); : Next : Print
compsort(array()) ' sort the array
Print " sorted ";
For i = a To b : Print Using "####"; array(i); : Next : Print
Print
Print "comb11 sort"
For i = a To b ' little shuffle
Swap array(i), array(Int(Rnd * (b - a +1)) + a)
Next
Print "unsorted ";
For i = a To b : Print Using "####"; array(i); : Next : Print
comp11sort(array()) ' sort the array
Print " sorted ";
For i = a To b : Print Using "####"; array(i); : Next : Print
' empty keyboard buffer
While Inkey <> "" : Wend
Print : Print "hit any key to end program"
Sleep
End
- Output:
normal comb sort unsorted -6 5 -1 -3 -7 6 1 7 -4 3 4 -2 -5 0 2 sorted -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 comb11 sort unsorted 4 -7 -1 1 2 3 -3 7 0 -2 6 -5 5 -6 -4 sorted -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Gambas
Click this link to run this code
Public Sub Main()
Dim siToSort As Short[] = [249, 28, 111, 36, 171, 98, 29, 448, 44, 147, 154, 46, 102, 183, 24,
120, 19, 123, 2, 17, 226, 11, 211, 25, 191, 205, 77]
Dim siStart As Short
Dim siGap As Short = siToSort.Max
Dim bSorting, bGap1 As Boolean
Print "To sort: -"
ShowWorking(siToSort)
Print
Repeat
bSorting = False
siStart = 0
If siGap = 1 Then bGap1 = True
Repeat
If siToSort[siStart] > siToSort[siStart + siGap] Then
Swap siToSort[siStart], siToSort[siStart + siGap]
bSorting = True
End If
Inc siStart
Until siStart + siGap > siToSort.Max
If bSorting Then ShowWorking(siToSort)
siGap /= 1.3
If siGap < 1 Then siGap = 1
Until bSorting = False And bGap1 = True
End
'-----------------------------------------
Public Sub ShowWorking(siToSort As Short[])
Dim siCount As Short
For siCount = 0 To siToSort.Max
Print Str(siToSort[siCount]);
If siCount <> siToSort.Max Then Print ",";
Next
Print
End
Output:
To sort: - 249,28,111,36,171,98,29,448,44,147,154,46,102,183,24,120,19,123,2,17,226,11,211,25,191,205,77 77,28,111,36,171,98,29,448,44,147,154,46,102,183,24,120,19,123,2,17,226,11,211,25,191,205,249 77,11,111,25,171,98,29,448,44,147,154,46,102,183,24,120,19,123,2,17,226,28,211,36,191,205,249 77,11,111,2,17,98,28,211,36,147,154,46,102,183,24,120,19,123,25,171,226,29,448,44,191,205,249 46,11,111,2,17,19,28,25,36,147,29,77,44,183,24,120,98,123,211,171,226,154,448,102,191,205,249 36,11,29,2,17,19,24,25,46,123,111,77,44,154,28,102,98,147,211,171,226,183,448,120,191,205,249 24,11,29,2,17,19,36,25,28,102,98,77,44,154,46,123,111,120,191,171,226,183,448,147,211,205,249 17,11,29,2,24,19,36,25,28,102,46,77,44,120,98,123,111,154,191,147,211,183,249,171,226,205,448 2,11,19,17,24,28,36,25,29,44,46,77,102,111,98,123,120,154,183,147,171,191,205,211,226,249,448 2,11,19,17,24,25,29,28,36,44,46,77,98,111,102,123,120,147,171,154,183,191,205,211,226,249,448 2,11,17,19,24,25,28,29,36,44,46,77,98,102,111,120,123,147,154,171,183,191,205,211,226,249,448
Go
package main
import "fmt"
func main() {
a := []int{170, 45, 75, -90, -802, 24, 2, 66}
fmt.Println("before:", a)
combSort(a)
fmt.Println("after: ", a)
}
func combSort(a []int) {
if len(a) < 2 {
return
}
for gap := len(a); ; {
if gap > 1 {
gap = gap * 4 / 5
}
swapped := false
for i := 0; ; {
if a[i] > a[i+gap] {
a[i], a[i+gap] = a[i+gap], a[i]
swapped = true
}
i++
if i+gap >= len(a) {
break
}
}
if gap == 1 && !swapped {
break
}
}
}
More generic version that sorts anything that implements sort.Interface
:
package main
import (
"sort"
"fmt"
)
func main() {
a := []int{170, 45, 75, -90, -802, 24, 2, 66}
fmt.Println("before:", a)
combSort(sort.IntSlice(a))
fmt.Println("after: ", a)
}
func combSort(a sort.Interface) {
if a.Len() < 2 {
return
}
for gap := a.Len(); ; {
if gap > 1 {
gap = gap * 4 / 5
}
swapped := false
for i := 0; ; {
if a.Less(i+gap, i) {
a.Swap(i, i+gap)
swapped = true
}
i++
if i+gap >= a.Len() {
break
}
}
if gap == 1 && !swapped {
break
}
}
}
Groovy
Combsort solution:
def makeSwap = { a, i, j -> print "."; a[i] ^= a[j]; a[j] ^= a[i]; a[i] ^= a[j] }
def checkSwap = { a, i, j -> [(a[i] > a[j])].find { it }.each { makeSwap(a, i, j) } }
def combSort = { input ->
def swap = checkSwap.curry(input)
def size = input.size()
def gap = size
def swapped = true
while (gap != 1 || swapped) {
gap = (gap / 1.247330950103979) as int
gap = (gap < 1) ? 1 : gap
swapped = (0..<(size-gap)).any { swap(it, it + gap) }
}
input
}
Combsort11 solution:
def combSort11 = { input ->
def swap = checkSwap.curry(input)
def size = input.size()
def gap = size
def swapped = true
while (gap != 1 || swapped) {
gap = (gap / 1.247330950103979) as int
gap = ((gap < 1) ? 1 : ([10,9].contains(gap) ? 11 : gap))
swapped = (0..<(size-gap)).any { swap(it, it + gap) }
}
input
}
Test:
println (combSort([23,76,99,58,97,57,35,89,51,38,95,92,24,46,31,24,14,12,57,78,4]))
println (combSort11([23,76,99,58,97,57,35,89,51,38,95,92,24,46,31,24,14,12,57,78,4]))
println ()
println (combSort([88,18,31,44,4,0,8,81,14,78,20,76,84,33,73,75,82,5,62,70,12,7,1]))
println (combSort11([88,18,31,44,4,0,8,81,14,78,20,76,84,33,73,75,82,5,62,70,12,7,1]))
Output:
..................................................................................................................[4, 12, 14, 23, 24, 24, 31, 35, 38, 46, 51, 57, 57, 58, 76, 78, 89, 92, 95, 97, 99] ..........................................................................................................................[4, 12, 14, 23, 24, 24, 31, 35, 38, 46, 51, 57, 57, 58, 76, 78, 89, 92, 95, 97, 99] ...............................................................................................[0, 1, 4, 5, 7, 8, 12, 14, 18, 20, 31, 33, 44, 62, 70, 73, 75, 76, 78, 81, 82, 84, 88] ...............................................................................................[0, 1, 4, 5, 7, 8, 12, 14, 18, 20, 31, 33, 44, 62, 70, 73, 75, 76, 78, 81, 82, 84, 88]
Haskell
import Data.List
import Control.Arrow
import Control.Monad
flgInsert x xs = ((x:xs==) &&& id)$ insert x xs
gapSwapping k = (and *** concat. transpose). unzip
. map (foldr (\x (b,xs) -> first (b &&)$ flgInsert x xs) (True,[]))
. transpose. takeWhile (not.null). unfoldr (Just. splitAt k)
combSort xs = (snd. fst) $ until (\((b,_),g)-> b && g==1)
(\((_,xs),g) ->(gapSwapping g xs, fg g)) ((False,xs), fg $ length xs)
where fg = max 1. truncate. (/1.25). fromIntegral
Example:
*Main> combSort [23,76,99,58,97,57,35,89,51,38,95,92,24,46,31,24,14,12,57,78]
[12,14,23,24,24,31,35,38,46,51,57,57,58,76,78,89,92,95,97,99]
Haxe
class CombSort {
@:generic
public static function sort<T>(arr:Array<T>) {
var gap:Float = arr.length;
var swaps = true;
while (gap > 1 || swaps) {
gap /= 1.247330950103979;
if (gap < 1) gap = 1.0;
var i = 0;
swaps = false;
while (i + gap < arr.length) {
var igap = i + Std.int(gap);
if (Reflect.compare(arr[i], arr[igap]) > 0) {
var temp = arr[i];
arr[i] = arr[igap];
arr[igap] = temp;
swaps = true;
}
i++;
}
}
}
}
class Main {
static function main() {
var integerArray = [1, 10, 2, 5, -1, 5, -19, 4, 23, 0];
var floatArray = [1.0, -3.2, 5.2, 10.8, -5.7, 7.3,
3.5, 0.0, -4.1, -9.5];
var stringArray = ['We', 'hold', 'these', 'truths', 'to',
'be', 'self-evident', 'that', 'all',
'men', 'are', 'created', 'equal'];
Sys.println('Unsorted Integers: ' + integerArray);
CombSort.sort(integerArray);
Sys.println('Sorted Integers: ' + integerArray);
Sys.println('Unsorted Floats: ' + floatArray);
CombSort.sort(floatArray);
Sys.println('Sorted Floats: ' + floatArray);
Sys.println('Unsorted Strings: ' + stringArray);
CombSort.sort(stringArray);
Sys.println('Sorted Strings: ' + stringArray);
}
}
- Output:
Unsorted Integers: [1,10,2,5,-1,5,-19,4,23,0] Sorted Integers: [-19,-1,0,1,2,4,5,5,10,23] Unsorted Floats: [1,-3.2,5.2,10.8,-5.7,7.3,3.5,0,-4.1,-9.5] Sorted Floats: [-9.5,-5.7,-4.1,-3.2,0,1,3.5,5.2,7.3,10.8] Unsorted Strings: [We,hold,these,truths,to,be,self-evident,that,all,men,are,created,equal] Sorted Strings: [We,all,are,be,created,equal,hold,men,self-evident,that,these,to,truths]
Icon and Unicon
Note: This example relies on the supporting procedures 'sortop', and 'demosort' in Bubble Sort. The full demosort exercises the named sort of a list with op = "numeric", "string", ">>" (lexically gt, descending),">" (numerically gt, descending), a custom comparator, and also a string.
Abbreviated sample output:
Sorting Demo using procedure combsort on list : [ 3 14 1 5 9 2 6 3 ] with op = &null: [ 1 2 3 3 5 6 9 14 ] (0 ms) ... on string : "qwerty" with op = &null: "eqrtwy" (0 ms)
Io
List do(
combSortInPlace := method(
gap := size
swap := true
while(gap > 1 or swap,
swap = false
gap = (gap / 1.25) floor
for(i, 0, size - gap,
if(at(i) > at(i + gap),
swap = true
swapIndices(i, i + gap)
)
)
)
self)
)
lst := list(23, 76, 99, 58, 97, 57, 35, 89, 51, 38, 95, 92, 24, 46, 31, 24, 14, 12, 57, 78)
lst combSortInPlace println # ==> list(12, 14, 23, 24, 24, 31, 35, 38, 46, 51, 57, 57, 58, 76, 78, 89, 92, 95, 97, 99)
IS-BASIC
100 PROGRAM "CombSrt.bas"
110 RANDOMIZE
120 NUMERIC ARRAY(11 TO 30)
130 CALL INIT(ARRAY)
140 CALL WRITE(ARRAY)
150 CALL COMBSORT(ARRAY)
160 CALL WRITE(ARRAY)
170 DEF INIT(REF A)
180 FOR I=LBOUND(A) TO UBOUND(A)
190 LET A(I)=RND(98)+1
200 NEXT
210 END DEF
220 DEF WRITE(REF A)
230 FOR I=LBOUND(A) TO UBOUND(A)
240 PRINT A(I);
250 NEXT
260 PRINT
270 END DEF
280 DEF COMBSORT(REF A)
290 LET N,GAP=UBOUND(A):LET SW=1
300 DO WHILE GAP>1 OR SW
310 LET GAP=MAX(INT(GAP/1.3),1):LET SW=0
320 FOR I=LBOUND(A) TO N-GAP
330 IF A(I)>A(I+GAP) THEN
340 LET T=A(I):LET A(I)=A(I+GAP):LET A(I+GAP)=T
350 LET SW=1
360 END IF
370 NEXT
380 LOOP
390 END DEF
J
Large gap sizes allow some parallelism in comparisons and swaps. (If the gap size is G, then G pairs can be compared and swapped in parallel.) Beyond that, however, the data flow complexity of this algorithm requires a fair bit of micro-management.
combSort=:3 :0
gap=. #y
whilst.1 < gap+swaps do.
swaps=. 0
i=. i.2,gap=. 1 >. <.gap%1.25
while.{:$i=.i #"1~ ({: i) < #y do.
swaps=.swaps+#{:k=.i #"1~b=. >/ i{y
i=. i+gap
y=.((|.k){y) k} y
end.
end.
y
)
Example use:
combSort 23 76 99 58 97 57 35 89 51 38 95 92 24 46 31 24 14 12 57 78 12 14 23 24 24 31 35 38 46 51 57 57 58 76 78 89 92 95 97 99 combSort 88 18 31 44 4 0 8 81 14 78 20 76 84 33 73 75 82 5 62 70 0 4 5 8 14 18 20 31 33 44 62 70 73 75 76 78 81 82 84 88
Java
This is copied from the Wikipedia article.
public static <E extends Comparable<? super E>> void sort(E[] input) {
int gap = input.length;
boolean swapped = true;
while (gap > 1 || swapped) {
if (gap > 1) {
gap = (int) (gap / 1.3);
}
swapped = false;
for (int i = 0; i + gap < input.length; i++) {
if (input[i].compareTo(input[i + gap]) > 0) {
E t = input[i];
input[i] = input[i + gap];
input[i + gap] = t;
swapped = true;
}
}
}
}
JavaScript
// Node 5.4.1 tested implementation (ES6)
function is_array_sorted(arr) {
var sorted = true;
for (var i = 0; i < arr.length - 1; i++) {
if (arr[i] > arr[i + 1]) {
sorted = false;
break;
}
}
return sorted;
}
// Array to sort
var arr = [4, 9, 0, 3, 1, 5];
var iteration_count = 0;
var gap = arr.length - 2;
var decrease_factor = 1.25;
// Until array is not sorted, repeat iterations
while (!is_array_sorted(arr)) {
// If not first gap
if (iteration_count > 0)
// Calculate gap
gap = (gap == 1) ? gap : Math.floor(gap / decrease_factor);
// Set front and back elements and increment to a gap
var front = 0;
var back = gap;
while (back <= arr.length - 1) {
// If elements are not ordered swap them
if (arr[front] > arr[back]) {
var temp = arr[front];
arr[front] = arr[back];
arr[back] = temp;
}
// Increment and re-run swapping
front += 1;
back += 1;
}
iteration_count += 1;
}
// Print the sorted array
console.log(arr);
}
- Output:
[0, 1, 3, 4, 5, 9]
jq
An implementation of the pseudo-code in the task description:
# Input should be the array to be sorted.
def combsort:
# As soon as "condition" is true, emit . and stop:
def do_until(condition; next):
def u: if condition then . else (next|u) end;
u;
def swap(i;j):
if i==j then . else .[i] as $tmp | .[i] = .[j] | .[j] = $tmp end;
. as $in
| length as $length
# state: [gap, swaps, array] where:
# gap is the gap size;
# swaps is a boolean flag indicating a swap has occurred,
# implying that the array might not be sorted;
# array is the current state of the array being sorted
| [ $length, false, $in ]
| do_until( .[0] == 1 and .[1] == false;
# update the gap value for the next "comb":
([1, ((.[0] / 1.25) | floor)] | max) as $gap # minimum gap is 1
# state: [i, swaps, array]
| [0, false, .[2]]
# a single "comb" over the input list:
| do_until( (.[0] + $gap) >= $length;
.[0] as $i
| if .[2][$i] > .[2][$i+$gap] then
[$i+1, true, (.[2]|swap($i; $i+$gap))]
else .[0] += 1
end)
| .[0] = $gap )
| .[2] ;
Julia
# v0.6
function combsort!(x::Array)::Array
gap, swaps = length(x), true
while gap > 1 || swaps
gap = floor(Int, gap / 1.25)
i, swaps = 0, false
while i + gap < length(x)
if x[i+1] > x[i+1+gap]
x[i+1], x[i+1+gap] = x[i+1+gap], x[i+1]
swaps = true
end
i += 1
end
end
return x
end
x = randn(100)
@show x combsort!(x)
@assert issorted(x)
- Output:
x = [1.41167, 1.19626, 0.821703, 0.336024, -0.708447, 0.694578, 1.49075, -1.07124, -1.59686, -0.720135] combsort!(x) = [-1.59686, -1.07124, -0.720135, -0.708447, 0.336024, 0.694578, 0.821703, 1.19626, 1.41167, 1.49075]
Kotlin
// version 1.1.2
fun <T : Comparable<T>> combSort(input: Array<T>) {
var gap = input.size
if (gap <= 1) return // already sorted
var swaps = false
while (gap > 1 || swaps) {
gap = (gap / 1.247331).toInt()
if (gap < 1) gap = 1
var i = 0
swaps = false
while (i + gap < input.size) {
if (input[i] > input[i + gap]) {
val tmp = input[i]
input[i] = input[i + gap]
input[i + gap] = tmp
swaps = true
}
i++
}
}
}
fun main(args: Array<String>) {
val ia = arrayOf(28, 44, 46, 24, 19, 2, 17, 11, 25, 4)
println("Unsorted : ${ia.contentToString()}")
combSort(ia)
println("Sorted : ${ia.contentToString()}")
println()
val ca = arrayOf('X', 'B', 'E', 'A', 'Z', 'M', 'S', 'L', 'Y', 'C')
println("Unsorted : ${ca.contentToString()}")
combSort(ca)
println("Sorted : ${ca.contentToString()}")
}
- Output:
Unsorted : [28, 44, 46, 24, 19, 2, 17, 11, 25, 4] Sorted : [2, 4, 11, 17, 19, 24, 25, 28, 44, 46] Unsorted : [X, B, E, A, Z, M, S, L, Y, C] Sorted : [A, B, C, E, L, M, S, X, Y, Z]
Liberty BASIC
'randomize 0.5
itemCount = 20
dim item(itemCount)
for i = 1 to itemCount
item(i) = int(rnd(1) * 100)
next i
print "Before Sort"
for i = 1 to itemCount
print item(i)
next i
print: print
't0=time$("ms")
gap=itemCount
while gap>1 or swaps <> 0
gap=int(gap/1.25)
'if gap = 10 or gap = 9 then gap = 11 'uncomment to get Combsort11
if gap <1 then gap = 1
i = 1
swaps = 0
for i = 1 to itemCount-gap
if item(i) > item(i + gap) then
temp = item(i)
item(i) = item(i + gap)
item(i + gap) = temp
swaps = 1
end if
next
wend
print "After Sort"
't1=time$("ms")
'print t1-t0
for i = 1 to itemCount
print item(i)
next i
end
Lua
function combsort(t)
local gapd, gap, swaps = 1.2473, #t, 0
while gap + swaps > 1 do
local k = 0
swaps = 0
if gap > 1 then gap = math.floor(gap / gapd) end
for k = 1, #t - gap do
if t[k] > t[k + gap] then
t[k], t[k + gap], swaps = t[k + gap], t[k], swaps + 1
end
end
end
return t
end
print(unpack(combsort{3,5,1,2,7,4,8,3,6,4,1}))
Maple
swap := proc(arr, a, b)
local temp;
temp := arr[a]:
arr[a] := arr[b]:
arr[b] := temp:
end proc:
newGap := proc(gap)
local new;
new := trunc(gap*10/13);
if (new < 1) then return 1; end if;
return new;
end proc;
combsort := proc(arr, len)
local gap, swapped,i, temp;
swapped := true:
gap := len:
while ((not gap = 1) or swapped) do
gap := newGap(gap):
swapped := false:
for i from 1 to len-gap by 1 do
if (arr[i] > arr[i+gap]) then
temp := arr[i]:
arr[i] := arr[i+gap]:
arr[i+gap] := temp:
swapped:= true:
end if:
end do:
end do:
end proc:
arr := Array([17,3,72,0,36,2,3,8,40,0]);
combsort(arr, numelems(arr));
arr;
- Output:
[0,0,2,3,3,8,17,36,40,72]
Mathematica /Wolfram Language
combSort[list_] := Module[{ gap = 0, listSize = 0, swaps = True},
gap = listSize = Length[list];
While[ !((gap <= 1) && (swaps == False)),
gap = Floor@Divide[gap, 1.25];
If[ gap < 1, gap = 1]; i = 1; swaps = False;
While[ ! ((i + gap - 1) >= listSize),
If[ list[[i]] > list[[i + gap]], swaps = True;
list[[i ;; i + gap]] = list[[i + gap ;; i ;; -1]];
];
i++;
]
]
]
combSort@{2, 1, 3, 7, 6} ->{1, 2, 3, 6, 7}
MATLAB / Octave
function list = combSort(list)
listSize = numel(list);
gap = int32(listSize); %Coerce gap to an int so we can use the idivide function
swaps = true; %Swap flag
while not((gap <= 1) && (swaps == false))
gap = idivide(gap,1.25,'floor'); %Int divide, floor the resulting operation
if gap < 1
gap = 1;
end
i = 1; %i equals 1 because all arrays are 1 based in MATLAB
swaps = false;
%i + gap must be subtracted by 1 because the pseudo-code was writen
%for 0 based arrays
while not((i + gap - 1) >= listSize)
if (list(i) > list(i+gap))
list([i i+gap]) = list([i+gap i]); %swap
swaps = true;
end
i = i + 1;
end %while
end %while
end %combSort
Sample Output:
>> combSort([4 3 1 5 6 2])
ans =
1 2 3 4 5 6
MAXScript
fn combSort arr =
(
local gap = arr.count
local swaps = 1
while not (gap == 1 and swaps == 0) do
(
gap = (gap / 1.25) as integer
if gap < 1 do
(
gap = 1
)
local i = 1
swaps = 0
while not (i + gap > arr.count) do
(
if arr[i] > arr[i+gap] do
(
swap arr[i] arr[i+gap]
swaps = 1
)
i += 1
)
)
return arr
)
Output:
a = for i in 1 to 10 collect random 1 10
#(2, 6, 5, 9, 10, 7, 2, 6, 1, 4)
combsort a
#(1, 2, 2, 4, 5, 6, 6, 7, 9, 10)
NetRexx
/* NetRexx */
options replace format comments java crossref savelog symbols binary
placesList = [String -
"UK London", "US New York" -
, "US Boston", "US Washington" -
, "UK Washington", "US Birmingham" -
, "UK Birmingham", "UK Boston" -
]
sortedList = combSort(String[] Arrays.copyOf(placesList, placesList.length))
lists = [placesList, sortedList]
loop ln = 0 to lists.length - 1
cl = lists[ln]
loop ct = 0 to cl.length - 1
say cl[ct]
end ct
say
end ln
return
method combSort(input = String[]) public constant binary returns String[]
swaps = isTrue
gap = input.length
loop label comb until gap = 1 & \swaps
gap = int gap / 1.25
if gap < 1 then
gap = 1
i_ = 0
swaps = isFalse
loop label swaps until i_ + gap >= input.length
if input[i_].compareTo(input[i_ + gap]) > 0 then do
swap = input[i_]
input[i_] = input[i_ + gap]
input[i_ + gap] = swap
swaps = isTrue
end
i_ = i_ + 1
end swaps
end comb
return input
method isTrue public constant binary returns boolean
return 1 == 1
method isFalse public constant binary returns boolean
return \isTrue
- Output
UK London US New York US Boston US Washington UK Washington US Birmingham UK Birmingham UK Boston UK Birmingham UK Boston UK London UK Washington US Birmingham US Boston US New York US Washington
Nim
proc combSort[T](a: var openarray[T]) =
var gap = a.len
var swapped = true
while gap > 1 or swapped:
gap = gap * 10 div 13
if gap == 9 or gap == 10: gap = 11
if gap < 1: gap = 1
swapped = false
var i = 0
for j in gap ..< a.len:
if a[i] > a[j]:
swap a[i], a[j]
swapped = true
inc i
var a = @[4, 65, 2, -31, 0, 99, 2, 83, 782]
combSort a
echo a
Output:
@[-31, 0, 2, 2, 4, 65, 83, 99, 782]
Objeck
bundle Default {
class Stooge {
function : Main(args : String[]) ~ Nil {
nums := [3, 5, 1, 9, 7, 6, 8, 2, 4];
CombSort(nums);
each(i : nums) {
IO.Console->Print(nums[i])->Print(",");
};
IO.Console->PrintLine();
}
function : CombSort(input : Int[]) ~ Nil {
gap : Float := input->Size();
swaps := true;
while(gap > 1 | swaps) {
gap /= 1.247330950103979;
if(gap < 1) { gap := 1; };
i : Int := 0;
swaps := false;
while(i + gap < input->Size()) {
igap : Int := i + gap->As(Int);
if (input[i] > input[igap]) {
swap : Int := input[i];
input[i] := input[igap];
input[igap] := swap;
swaps := true;
};
i += 1;
};
};
}
}
}
OCaml
let comb_sort ~input =
let input_length = Array.length input in
let gap = ref(input_length) in
let swapped = ref true in
while (!gap > 1 || !swapped) do
if (!gap > 1) then
gap := int_of_float (float !gap /. 1.3);
swapped := false;
for i = 0 to input_length - !gap do
if input.(i) > input.(i + !gap) then begin
let tmp = input.(i) in
input.(i) <- input.(i + !gap);
input.(i + !gap) <- tmp;
swapped := true;
end
done
done
;;
Oz
declare
proc {CombSort Arr}
Low = {Array.low Arr}
High = {Array.high Arr}
Size = High - Low + 1
Gap = {NewCell Size}
Swapped = {NewCell true}
proc {Swap I J}
Arr.J := (Arr.I := Arr.J)
end
in
for while:@Gap>1 orelse @Swapped do
if @Gap > 1 then
Gap := {Float.toInt {Floor {Int.toFloat @Gap} / 1.3}}
end
Swapped := false
for I in Low..High-@Gap do
if Arr.I > Arr.(I+@Gap) then
{Swap I I+@Gap}
Swapped := true
end
end
end
end
Arr = {Tuple.toArray unit(3 1 4 1 5 9 2 6 5)}
in
{CombSort Arr}
{Show {Array.toRecord unit Arr}}
PARI/GP
combSort(v)={
my(phi=(1+sqrt(5))/2,magic=1/(1-exp(-phi)),g=#v,swaps);
while(g>1 | swaps,
if(g>1, g\=magic);
swaps=0;
for(i=1,#v-g,
if(v[i]>v[i+g],
my(t=v[i]);
v[i]=v[i+g];
v[i+g]=t;
swaps++
)
)
);
v
};
Pascal
program CombSortDemo;
// NOTE: The array is 1-based
// If you want to use this code on a 0-based array, see below
type
TIntArray = array[1..40] of integer;
var
data: TIntArray;
i: integer;
procedure combSort(var a: TIntArray);
var
i, gap, temp: integer;
swapped: boolean;
begin
gap := length(a);
swapped := true;
while (gap > 1) or swapped do
begin
gap := trunc(gap / 1.3);
if (gap < 1) then
gap := 1;
swapped := false;
for i := 1 to length(a) - gap do
if a[i] > a[i+gap] then
begin
temp := a[i];
a[i] := a[i+gap];
a[i+gap] := temp;
swapped := true;
end;
end;
end;
begin
Randomize;
writeln('The data before sorting:');
for i := low(data) to high(data) do
begin
data[i] := Random(high(data));
write(data[i]:4);
end;
writeln;
combSort(data);
writeln('The data after sorting:');
for i := low(data) to high(data) do
begin
write(data[i]:4);
end;
writeln;
end.
Output:
The data before sorting: 10 26 32 10 9 32 38 37 12 9 16 7 25 1 37 7 24 22 7 36 2 5 10 5 33 35 32 18 5 28 7 5 36 12 16 36 24 3 29 15 The data after sorting: 1 2 3 5 5 5 5 7 7 7 7 9 9 10 10 10 12 12 15 16 16 18 22 24 24 25 26 28 29 32 32 32 33 35 36 36 36 37 37 38
program CombSortDemo;
// NOTE: The array is 0-based
// If you want to use this code on a 1-based array, see above
type
TIntArray = array[0..39] of integer;
var
data: TIntArray;
i: integer;
procedure combSort(var a: TIntArray);
var
i, gap, temp: integer;
swapped: boolean;
begin
gap := length(a);
swapped := true;
while (gap > 1) or swapped do
begin
gap := trunc(gap / 1.3);
if (gap < 1) then
gap := 1;
swapped := false;
for i := 0 to length(a) - gap - 1 do
if a[i] > a[i+gap] then
begin
temp := a[i];
a[i] := a[i+gap];
a[i+gap] := temp;
swapped := true;
end;
end;
end;
begin
Randomize;
writeln('The data before sorting:');
for i := low(data) to high(data) do
begin
data[i] := Random(high(data));
write(data[i]:4);
end;
writeln;
combSort(data);
writeln('The data after sorting:');
for i := low(data) to high(data) do
begin
write(data[i]:4);
end;
writeln;
end.
Perl
sub combSort {
my @arr = @_;
my $gap = @arr;
my $swaps = 1;
while ($gap > 1 || $swaps) {
$gap /= 1.25 if $gap > 1;
$swaps = 0;
foreach my $i (0 .. $#arr - $gap) {
if ($arr[$i] > $arr[$i+$gap]) {
@arr[$i, $i+$gap] = @arr[$i+$gap, $i];
$swaps = 1;
}
}
}
return @arr;
}
Phix
with javascript_semantics function comb_sort(sequence s) integer gap = length(s)-1 while 1 do gap = max(floor(gap/1.3),1) integer swapped = 0 for i=1 to length(s)-gap do object si = s[i] if si>s[i+gap] then s[i] = s[i+gap] s[i+gap] = si swapped = 1 end if end for if gap=1 and swapped=0 then exit end if end while return s end function ?comb_sort(shuffle(tagset(10)))
- Output:
{1,2,3,4,5,6,7,8,9,10}
PHP
function combSort($arr){
$gap = count($arr);
$swap = true;
while ($gap > 1 || $swap){
if($gap > 1) $gap /= 1.25;
$swap = false;
$i = 0;
while($i+$gap < count($arr)){
if($arr[$i] > $arr[$i+$gap]){
list($arr[$i], $arr[$i+$gap]) = array($arr[$i+$gap],$arr[$i]);
$swap = true;
}
$i++;
}
}
return $arr;
}
PicoLisp
(de combSort (Lst)
(let (Gap (length Lst) Swaps NIL)
(while (or (> Gap 1) Swaps)
(setq Gap (max 1 (/ (* Gap 4) 5)))
(off Swaps)
(use Lst
(for (G (cdr (nth Lst Gap)) G (cdr G))
(when (> (car Lst) (car G))
(xchg Lst G)
(on Swaps) )
(pop 'Lst) ) ) ) )
Lst )
Output:
: (combSort (88 18 31 44 4 0 8 81 14 78 20 76 84 33 73 75 82 5 62 70)) -> (0 4 5 8 14 18 20 31 33 44 62 70 73 75 76 78 81 82 84 88)
PL/I
/* From the pseudocode. */
comb_sort: procedure (A);
declare A(*) fixed;
declare t fixed;
declare (i, gap) fixed binary (31);
declare swaps bit (1) aligned;
gap = hbound(A,1) - lbound(A,1); /* initialize the gap size. */
do until (gap <= 1 & swaps);
/* update the gap value for a next comb. */
put skip data (gap);
gap = gap / 1.25e0;
put skip data (gap);
swaps = '1'b;
/* a single "comb" over the array. */
do i = lbound(A,1) by 1 until (i + gap >= hbound(A,1));
if A(i) > A(i+gap) then
do;
t = A(i); A(i) = A(i+gap); A(i+gap) = t;
swaps = '0'b; /* Flag a swap has occurred, so */
/* the list is not guaranteed sorted. */
end;
end;
end;
end comb_sort;
PowerShell
Massaging gap to always hit 11. Based on PowerShell from Cocktail Sort
function CombSort ($a) {
$l = $a.Length
$gap = 11
while( $gap -lt $l )
{
$gap = [Math]::Floor( $gap*1.3 )
}
if( $l -gt 1 )
{
$hasChanged = $true
:outer while ($hasChanged -or ( $gap -gt 1 ) ) {
$count = 0
$hasChanged = $false
if( $gap -gt 1 ) {
$gap = [Math]::Floor( $gap/1.3 )
} else {
$l--
}
for ($i = 0; $i -lt ( $l - $gap ); $i++) {
if ($a[$i] -gt $a[$i+$gap]) {
$a[$i], $a[$i+$gap] = $a[$i+$gap], $a[$i]
$hasChanged = $true
$count++
}
}
}
}
$a
}
$l = 100; CombSort ( 1..$l | ForEach-Object { $Rand = New-Object Random }{ $Rand.Next( -( $l - 1 ), $l - 1 ) } )
PureBasic
Implementation of CombSort11.
;sorts an array of integers
Procedure combSort11(Array a(1))
Protected i, gap, swaps = 1
Protected nElements = ArraySize(a())
gap = nElements
While (gap > 1) Or (swapped = 1)
gap * 10 / 13
If gap = 9 Or gap = 10: gap = 11: EndIf
If gap < 1: gap = 1: EndIf
i = 0
swaps = 0
While (i + gap) <= nElements
If a(i) > a(i + gap)
Swap a(i), a(i + gap)
swaps = 1
EndIf
i + 1
Wend
Wend
EndProcedure
Implementation of CombSort.
;sorts an array of integers
Procedure combSort(Array a(1))
Protected i, gap, swaps = 1
Protected nElements = ArraySize(a())
gap = nElements
While (gap > 1) Or (swaps = 1)
gap = Int(gap / 1.25)
i = 0
swaps = 0
While (i + gap) <= nElements
If a(i) > a(i + gap)
Swap a(i), a(i + gap)
swaps = 1
EndIf
i + 1
Wend
Wend
EndProcedure
Python
>>> def combsort(input):
gap = len(input)
swaps = True
while gap > 1 or swaps:
gap = max(1, int(gap / 1.25)) # minimum gap is 1
swaps = False
for i in range(len(input) - gap):
j = i+gap
if input[i] > input[j]:
input[i], input[j] = input[j], input[i]
swaps = True
>>> y = [88, 18, 31, 44, 4, 0, 8, 81, 14, 78, 20, 76, 84, 33, 73, 75, 82, 5, 62, 70]
>>> combsort(y)
>>> assert y == sorted(y)
>>> y
[0, 4, 5, 8, 14, 18, 20, 31, 33, 44, 62, 70, 73, 75, 76, 78, 81, 82, 84, 88]
>>>
R
comb.sort<-function(a){
gap<-length(a)
swaps<-1
while(gap>1 & swaps==1){
gap=floor(gap/1.3)
if(gap<1){
gap=1
}
swaps=0
i=1
while(i+gap<=length(a)){
if(a[i]>a[i+gap]){
a[c(i,i+gap)] <- a[c(i+gap,i)]
swaps=1
}
i<-i+1
}
}
return(a)
}
Racket
#lang racket
(require (only-in srfi/43 vector-swap!))
(define (comb-sort xs)
(define (ref i) (vector-ref xs i))
(define (swap i j) (vector-swap! xs i j))
(define (new gap) (max 1 (exact-floor (/ gap 1.25))))
(define size (vector-length xs))
(let loop ([gap size] [swaps 0])
(unless (and (= gap 1) (= swaps 0))
(loop (new gap)
(for/fold ([swaps 0]) ([i (in-range 0 (- size gap))])
(cond
[(> (ref i) (ref (+ i gap)))
(swap i (+ i gap))
(+ swaps 1)]
[swaps])))))
xs)
Raku
(formerly Perl 6)
sub comb_sort ( @a is copy ) {
my $gap = +@a;
my $swaps = 1;
while $gap > 1 or $swaps {
$gap = ( ($gap * 4) div 5 ) || 1 if $gap > 1;
$swaps = 0;
for ^(+@a - $gap) -> $i {
my $j = $i + $gap;
if @a[$i] > @a[$j] {
@a[$i, $j] .= reverse;
$swaps = 1;
}
}
}
return @a;
}
my @weights = (^50).map: { 100 + ( 1000.rand.Int / 10 ) };
say @weights.sort.Str eq @weights.&comb_sort.Str ?? 'ok' !! 'not ok';
REXX
/*REXX program sorts and displays a stemmed array using the comb sort algorithm. */
call gen /*generate the @ array elements. */
call show 'before sort' /*display the before array elements. */
say copies('▒', 60) /*display a separator line (a fence). */
call combSort # /*invoke the comb sort (with # entries)*/
call show ' after sort' /*display the after array elements. */
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
combSort: procedure expose @.; parse arg N /*N: is the number of @ elements. */
g= N-1 /*G: is the gap between the sort COMBs*/
do until g<=1 & done; done= 1 /*assume sort is done (so far). */
g= g * 0.8 % 1 /*equivalent to: g= trunc( g / 1.25) */
if g==0 then g= 1 /*handle case of the gap is too small. */
do j=1 until $>=N; $= j+g /*$: a temporary index (pointer). */
if @.j>@.$ then do; _= @.j; @.j= @.$; @.$= _; done= 0; end
end /*j*/
end /*until*/ /* [↑] swap two elements in the array.*/
return
/*──────────────────────────────────────────────────────────────────────────────────────*/
gen: @.=; @.1 = '----polygon--- sides' ; @.12 = "dodecagon 12"
@.2 = '============== =======' ; @.13 = "tridecagon 13"
@.3 = 'triangle 3' ; @.14 = "tetradecagon 14"
@.4 = 'quadrilateral 4' ; @.15 = "pentadecagon 15"
@.5 = 'pentagon 5' ; @.16 = "hexadecagon 16"
@.6 = 'hexagon 6' ; @.17 = "heptadecagon 17"
@.7 = 'heptagon 7' ; @.18 = "octadecagon 18"
@.8 = 'octagon 8' ; @.19 = "enneadecagon 19"
@.9 = 'nonagon 9' ; @.20 = "icosagon 20"
@.10 = 'decagon 10' ; @.21 = "hectogon 100"
@.11 = 'hendecagon 11' ; @.22 = "chiliagon 1000"
@.23 = "myriagon 10000"
do #=1 while @.#\==''; end /*find how many elements in @ */
#= #-1; w= length(#); return /*adjust # because of DO loop.*/
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: do k=1 for #; say right('element',15) right(k,w) arg(1)":" @.k; end; return
Data trivia: A hendecagon (also known as an undecagon or unidecagon) is from the Greek word hendeka [eleven] and gon─ [corner].
- output:
(Shown at three-quarter size.)
element 1 before sort: ----polygon--- sides element 2 before sort: ============== ======= element 3 before sort: triangle 3 element 4 before sort: quadrilateral 4 element 5 before sort: pentagon 5 element 6 before sort: hexagon 6 element 7 before sort: heptagon 7 element 8 before sort: octagon 8 element 9 before sort: nonagon 9 element 10 before sort: decagon 10 element 11 before sort: hendecagon 11 element 12 before sort: dodecagon 12 element 13 before sort: tridecagon 13 element 14 before sort: tetradecagon 14 element 15 before sort: pentadecagon 15 element 16 before sort: hexadecagon 16 element 17 before sort: heptadecagon 17 element 18 before sort: octadecagon 18 element 19 before sort: enneadecagon 19 element 20 before sort: icosagon 20 element 21 before sort: hectogon 100 element 22 before sort: chiliagon 1000 element 23 before sort: myriagon 10000 ▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒ element 1 after sort: ----polygon--- sides element 2 after sort: ============== ======= element 3 after sort: chiliagon 1000 element 4 after sort: decagon 10 element 5 after sort: dodecagon 12 element 6 after sort: enneadecagon 19 element 7 after sort: hectogon 100 element 8 after sort: hendecagon 11 element 9 after sort: heptadecagon 17 element 10 after sort: heptagon 7 element 11 after sort: hexadecagon 16 element 12 after sort: hexagon 6 element 13 after sort: icosagon 20 element 14 after sort: myriagon 10000 element 15 after sort: nonagon 9 element 16 after sort: octadecagon 18 element 17 after sort: octagon 8 element 18 after sort: pentadecagon 15 element 19 after sort: pentagon 5 element 20 after sort: quadrilateral 4 element 21 after sort: tetradecagon 14 element 22 after sort: triangle 3 element 23 after sort: tridecagon 13
Ring
aList = [3,5,1,2,7,4,8,3,6,4,1]
see combsort(aList)
func combsort t
gapd = 1.2473
gap = len(t)
swaps = 0
while gap + swaps > 1
k = 0
swaps = 0
if gap > 1 gap = floor(gap / gapd) ok
for k = 1 to len(t) - gap
if t[k] > t[k + gap]
temp = t[k]
t[k] = t[k + gap]
t[k + gap] = temp
swaps = swaps + 1 ok
next
end
return t
Ruby
class Array
def combsort!
gap = size
swaps = true
while gap > 1 or swaps
gap = [1, (gap / 1.25).to_i].max
swaps = false
0.upto(size - gap - 1) do |i|
if self[i] > self[i+gap]
self[i], self[i+gap] = self[i+gap], self[i]
swaps = true
end
end
end
self
end
end
p [23, 76, 99, 58, 97, 57, 35, 89, 51, 38, 95, 92, 24, 46, 31, 24, 14, 12, 57, 78].combsort!
results in
[12, 14, 23, 24, 24, 31, 35, 38, 46, 51, 57, 57, 58, 76, 78, 89, 92, 95, 97, 99]
Rust
fn comb_sort<T: PartialOrd>(a: &mut [T]) {
let len = a.len();
let mut gap = len;
let mut swapped = true;
while gap > 1 || swapped {
gap = (4 * gap) / 5;
if gap < 1 {
gap = 1;
}
let mut i = 0;
swapped = false;
while i + gap < len {
if a[i] > a[i + gap] {
a.swap(i, i + gap);
swapped = true;
}
i += 1;
}
}
}
fn main() {
let mut v = vec![10, 8, 4, 3, 1, 9, 0, 2, 7, 5, 6];
println!("before: {:?}", v);
comb_sort(&mut v);
println!("after: {:?}", v);
}
- Output:
before: [10, 8, 4, 3, 1, 9, 0, 2, 7, 5, 6] after: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Sather
class SORT{T < $IS_LT{T}} is
private swap(inout a, inout b:T) is
temp ::= a;
a := b;
b := temp;
end;
-- ---------------------------------------------------------------------------------
comb_sort(inout a:ARRAY{T}) is
gap ::= a.size;
swapped ::= true;
loop until!(gap <= 1 and ~swapped);
if gap > 1 then
gap := (gap.flt / 1.25).int;
end;
i ::= 0;
swapped := false;
loop until! ( (i + gap) >= a.size );
if (a[i] > a[i+gap]) then
swap(inout a[i], inout a[i+gap]);
swapped := true;
end;
i := i + 1;
end;
end;
end;
end;
class MAIN is
main is
a:ARRAY{INT} := |88, 18, 31, 44, 4, 0, 8, 81, 14, 78, 20, 76, 84, 33, 73, 75, 82, 5, 62, 70|;
b ::= a.copy;
SORT{INT}::comb_sort(inout b);
#OUT + b + "\n";
end;
end;
Scala
Imperative version (Ugly, side effects)
object CombSort extends App {
val ia = Array(28, 44, 46, 24, 19, 2, 17, 11, 25, 4)
val ca = Array('X', 'B', 'E', 'A', 'Z', 'M', 'S', 'L', 'Y', 'C')
def sorted[E](input: Array[E])(implicit ord: Ordering[E]): Array[E] = {
import ord._
var gap = input.length
var swapped = true
while (gap > 1 || swapped) {
if (gap > 1) gap = (gap / 1.3).toInt
swapped = false
for (i <- 0 until input.length - gap)
if (input(i) >= input(i + gap)) {
val t = input(i)
input(i) = input(i + gap)
input(i + gap) = t
swapped = true
}
}
input
}
println(s"Unsorted : ${ia.mkString("[", ", ", "]")}")
println(s"Sorted : ${sorted(ia).mkString("[", ", ", "]")}\n")
println(s"Unsorted : ${ca.mkString("[", ", ", "]")}")
println(s"Sorted : ${sorted(ca).mkString("[", ", ", "]")}")
}
- Output:
See it in running in your browser by ScalaFiddle (JavaScript) or by Scastie (JVM).
Sidef
func comb_sort(arr) {
var gap = arr.len;
var swaps = true;
while (gap > 1 || swaps) {
gap.div!(1.25).int! if (gap > 1);
swaps = false;
for i in ^(arr.len - gap) {
if (arr[i] > arr[i+gap]) {
arr[i, i+gap] = arr[i+gap, i];
swaps = true;
}
}
}
return arr;
}
Swift
func combSort(inout list:[Int]) {
var swapped = true
var gap = list.count
while gap > 1 || swapped {
gap = gap * 10 / 13
if gap == 9 || gap == 10 {
gap = 11
} else if gap < 1 {
gap = 1
}
swapped = false
for var i = 0, j = gap; j < list.count; i++, j++ {
if list[i] > list[j] {
(list[i], list[j]) = (list[j], list[i])
swapped = true
}
}
}
}
Tcl
proc combsort {input} {
set gap [llength $input]
while 1 {
set gap [expr {int(floor($gap / 1.3))}]
set swaps 0
for {set i 0} {$i+$gap < [llength $input]} {incr i} {
set j [expr {$i+$gap}]
if {[lindex $input $i] > [lindex $input $j]} {
set tmp [lindex $input $i]
lset input $i [lindex $input $j]
lset input $j $tmp
incr swaps
}
}
if {$gap <= 1 && !$swaps} break
}
return $input
}
set data {23 76 99 58 97 57 35 89 51 38 95 92 24 46 31 24 14 12 57 78}
puts [combsort $data]
Produces this output:
12 14 23 24 24 31 35 38 46 51 57 57 58 76 78 89 92 95 97 99
TI-83 BASIC
Requires prgmSORTINS. Gap division of 1.3. Switches to Insertion sort when gap is less than 5.
:L1→L2 :dim(L2)→A :While A>5 and B=0 :int(A/1.3)→A :1→C :0→B :While (C+A)≥dim(L2) :If L2(C)>L2(C+A) :Then :L2(C)→D :L2(C+A)→L2(C) :D→L2(C+A) :1→B :End :C+1→C :End :DelVar A :DelVar B :DelVar C :DelVar D :L1→L3 :L2→L1 :prgmSORTINS :L3→L1 :DelVar L3 :Return
uBasic/4tH
PRINT "Comb sort:"
n = FUNC (_InitArray)
PROC _ShowArray (n)
PROC _Combsort (n)
PROC _ShowArray (n)
PRINT
END
_Combsort PARAM (1) ' Combsort subroutine
LOCAL(4)
b@ = a@
c@ = 1
DO WHILE (b@ > 1) + c@
b@ = (b@ * 10) / 13
IF (b@ = 9) + (b@ = 10) THEN b@ = 11
IF b@ < 1 THEN b@ = 1
c@ = 0
d@ = 0
e@ = b@
DO WHILE e@ < a@
IF @(d@) > @(e@) THEN PROC _Swap (d@, e@) : c@ = 1
d@ = d@ + 1
e@ = e@ + 1
LOOP
LOOP
RETURN
_Swap PARAM(2) ' Swap two array elements
PUSH @(a@)
@(a@) = @(b@)
@(b@) = POP()
RETURN
_InitArray ' Init example array
PUSH 4, 65, 2, -31, 0, 99, 2, 83, 782, 1
FOR i = 0 TO 9
@(i) = POP()
NEXT
RETURN (i)
_ShowArray PARAM (1) ' Show array subroutine
FOR i = 0 TO a@-1
PRINT @(i),
NEXT
PRINT
RETURN
VBA
{[trans|Phix}}
Function comb_sort(ByVal s As Variant) As Variant
Dim gap As Integer: gap = UBound(s)
Dim swapped As Integer
Do While True
gap = WorksheetFunction.Max(WorksheetFunction.Floor_Precise(gap / 1.3), 1)
swapped = False
For i = 0 To UBound(s) - gap
si = Val(s(i))
If si > Val(s(i + gap)) Then
s(i) = s(i + gap)
s(i + gap) = CStr(si)
swapped = True
End If
Next i
If gap = 1 And Not swapped Then Exit Do
Loop
comb_sort = s
End Function
Public Sub main()
Dim s(9) As Variant
For i = 0 To 9
s(i) = CStr(Int(1000 * Rnd))
Next i
Debug.Print Join(s, ", ")
Debug.Print Join(comb_sort(s), ", ")
End Sub
- Output:
45, 414, 862, 790, 373, 961, 871, 56, 949, 364 45, 56, 364, 373, 414, 790, 862, 871, 949, 961
V (Vlang)
fn main() {
mut a := [170, 45, 75, -90, -802, 24, 2, 66]
println("before: $a")
comb_sort(mut a)
println("after: $a")
}
fn comb_sort(mut a []int) {
if a.len < 2 {
return
}
for gap := a.len; ; {
if gap > 1 {
gap = gap * 4 / 5
}
mut swapped := false
for i := 0; ; {
if a[i] > a[i+gap] {
a[i], a[i+gap] = a[i+gap], a[i]
swapped = true
}
i++
if i+gap >= a.len {
break
}
}
if gap == 1 && !swapped {
break
}
}
}
Wren
var combSort = Fn.new { |a|
var gap = a.count
while (true) {
gap = (gap/1.25).floor
if (gap < 1) gap = 1
var i = 0
var swaps = false
while (true) {
if (a[i] > a[i+gap]) {
var t = a[i]
a[i] = a[i+gap]
a[i+gap] = t
swaps = true
}
i = i + 1
if (i + gap >= a.count) break
}
if (gap == 1 && !swaps) return
}
}
var array = [ [4, 65, 2, -31, 0, 99, 2, 83, 782, 1], [7, 5, 2, 6, 1, 4, 2, 6, 3] ]
for (a in array) {
System.print("Before: %(a)")
combSort.call(a)
System.print("After : %(a)")
System.print()
}
- Output:
Before: [4, 65, 2, -31, 0, 99, 2, 83, 782, 1] After : [-31, 0, 1, 2, 2, 4, 65, 83, 99, 782] Before: [7, 5, 2, 6, 1, 4, 2, 6, 3] After : [1, 2, 2, 3, 4, 5, 6, 6, 7]
XPL0
\Comb sorts in-place the array of integers Input with bounds LB :: UB
procedure CombSort ( Input, LB, UB );
integer Input, LB, UB;
integer InputSize, Gap, I, Swapped, T, IGap;
begin
InputSize := ( UB - LB ) + 1;
if InputSize > 1 then begin
\more than one element, so must sort
Gap := InputSize; \initial Gap is the whole array size
Swapped := true;
while Gap # 1 or Swapped do begin
\update the Gap value for a next comb
Gap := fix( Floor(float(Gap) / 1.25) );
if Gap < 1 then begin
\ensure the Gap is at least 1
Gap := 1
end; \if_Gap_lt_1
Swapped := false;
\a single "comb" over the input list
I := LB;
while I + Gap <= UB do begin
T := Input( I );
IGap := I + Gap;
if T > Input( IGap ) then begin
\need to swap out-of-order items
Input( I ) := Input( IGap );
Input( IGap ) := T;
\Flag a swap has occurred, so the list is not guaranteed sorted yet
Swapped := true
end; \if_t_gt_input__iGap
I := I + 1
end \while_I_plus_Gap_le_UB
end \while_Gap_ne_1_or_swapped
end \if_inputSize_gt_1
end; \combSort
integer Data, I;
begin \test
Data:= [0, 9, -4, 0, 2, 3, 77, 1];
for I := 1 to 7 do begin Text(0, " "); IntOut(0, Data( I ) ) end;
CombSort( Data, 1, 7 );
Text(0, ( " -> " ) );
for I := 1 to 7 do begin Text(0, " "); IntOut(0, Data( I ) ) end;
end
- Output:
9 -4 0 2 3 77 1 -> -4 0 1 2 3 9 77
zkl
fcn combSort(list){
len,gap,swaps:=list.len(),len,True;
while(gap>1 or swaps){
gap,swaps=(1).max(gap.toFloat()/1.2473), False;
foreach i in (len - gap){
if(list[i]>list[i + gap]){
list.swap(i,i + gap);
swaps=True;
}
}
}
list
}
combSort(List(28, 44, 46, 24, 19, 2, 17, 11, 25, 4)).println();
combSort("This is a test".toData()).text.println();
- Output:
L(2,4,11,17,19,24,25,28,44,46) Taehiissstt
- Clarified and Needing Review
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