Sorting algorithms/Shell 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
Sort an array of elements using the Shell sort algorithm, a diminishing increment sort.
The Shell sort (also known as Shellsort or Shell's method) is named after its inventor, Donald Shell, who published the algorithm in 1959.
Shell sort is a sequence of interleaved insertion sorts based on an increment sequence. The increment size is reduced after each pass until the increment size is 1.
With an increment size of 1, the sort is a basic insertion sort, but by this time the data is guaranteed to be almost sorted, which is insertion sort's "best case".
Any sequence will sort the data as long as it ends in 1, but some work better than others.
Empirical studies have shown a geometric increment sequence with a ratio of about 2.2 work well in practice. [1]
Other good sequences are found at the On-Line Encyclopedia of Integer Sequences.
11l
F shell_sort(&seq)
V inc = seq.len I/ 2
L inc != 0
L(el) seq[inc..]
V i = L.index + inc
L i >= inc & seq[i - inc] > el
seq[i] = seq[i - inc]
i -= inc
seq[i] = el
inc = I inc == 2 {1} E inc * 5 I/ 11
V data = [22, 7, 2, -5, 8, 4]
shell_sort(&data)
print(data)- Output:
[-5, 2, 4, 7, 8, 22]
360 Assembly
The program uses ASM structured macros and two ASSIST macros to keep the code as short as possible.
* Shell sort 24/06/2016
SHELLSRT CSECT
USING SHELLSRT,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 RK,N incr=n
SRA RK,1 incr=n/2
DO WHILE=(LTR,RK,P,RK) do while(incr>0)
LA RI,1(RK) i=1+incr
DO WHILE=(C,RI,LE,N) do i=1+incr to n
LR RJ,RI j=i
LR R1,RI i
SLA R1,2 .
L RT,A-4(R1) temp=a(i)
LR R2,RK incr
LA R2,1(R2) r2=incr+1
LR R3,RJ j
SR R3,RK j-incr
SLA R3,2 *.
LA R3,A-4(R3) r3=@a(j-incr)
LR R4,RK incr
SLA R4,2 r4=incr*4
LR R5,RJ j
SLA R5,2 .
LA R5,A-4(R5) @a(j)
* do while j-incr>=1 and a(j-incr)>temp
DO WHILE=(CR,RJ,GE,R2,AND,C,RT,LT,0(R3))
L R0,0(R3) a(j-incr)
ST R0,0(R5) a(j)=a(j-incr)
SR RJ,RK j=j-incr
LR R5,R3 @a(j)
SR R3,R4 @a(j-incr)=@a(j-incr)-incr*4
ENDDO , end do
ST RT,0(R5) a(j)=temp
LA RI,1(RI) i=i+1
ENDDO , end do
IF C,RK,EQ,=F'2' if incr=2
LA RK,1 incr=1
ELSE , else
LR R5,RK incr
M R4,=F'5' *5
D R4,=F'11' /11
LR RK,R5 incr=incr*5/11
ENDIF , end if
ENDDO , end do
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
PG DC CL80' ' buffer
XDEC DS CL12 temp for xdeco
YREGS
RI EQU 6 i
RJ EQU 7 j
RK EQU 8 incr
RT EQU 9 temp
END SHELLSRT- 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 shellSort64.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
1:
ldr x0,qAdrTableNumber // address number table
mov x1,0 // not use in routine
mov x2,NBELEMENTS // number of élements
bl shellSort
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 2f
ldr x0,qAdrszMessSortNok // no !! error sort
bl affichageMess
b 100f
2: // 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 x1,lr,[sp,-16]! // save registers
stp x2,x3,[sp,-16]! // save registers
stp x4,x5,[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 // error not sorted
b 100f
99:
mov x0,1 // sorted
100:
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
/***************************************************/
/* shell Sort */
/***************************************************/
/* x0 contains the address of table */
/* x1 contains the first element but not use !! */
/* this routine use first element at index zero !!! */
/* x2 contains the number of element */
shellSort:
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
sub x2,x2,1 // index last item
mov x1,x2 // init gap = last item
1: // start loop 1
lsr x1,x1,1 // gap = gap / 2
cbz x1,100f // if gap = 0 -> end
mov x3,x1 // init loop indice 1
2: // start loop 2
ldr x4,[x0,x3,lsl 3] // load first value
mov x5,x3 // init loop indice 2
3: // start loop 3
cmp x5,x1 // indice < gap
blt 4f // yes -> end loop 2
sub x6,x5,x1 // index = indice - gap
ldr x7,[x0,x6,lsl 3] // load second value
cmp x4,x7 // compare values
bge 4f
str x7,[x0,x5,lsl 3] // store if <
sub x5,x5,x1 // indice = indice - gap
b 3b // and loop
4: // end loop 3
str x4,[x0,x5,lsl 3] // store value 1 at indice 2
add x3,x3,1 // increment indice 1
cmp x3,x2 // end ?
ble 2b // no -> loop 2
b 1b // yes loop for new gap
100: // end function
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 // display value
bl conversion10 // call function
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
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 ShellSort(INT ARRAY a INT size)
INT stp,i,j,tmp,v
stp=size/2
WHILE stp>0
DO
FOR i=stp TO size-1
DO
tmp=a(i)
j=i
WHILE j>=stp
DO
v=a(j-stp)
IF v<=tmp THEN EXIT FI
a(j-stp)=a(j)
a(j)=v
j==-stp
OD
a(j)=tmp
OD
stp=stp/2
OD
RETURN
PROC Test(INT ARRAY a INT size)
PrintE("Array before sort:")
PrintArray(a,size)
ShellSort(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 shellSort(data:Array):Array
{
var inc:uint = data.length/2;
while(inc > 0)
{
for(var i:uint = inc; i< data.length; i++)
{
var tmp:Object = data[i];
for(var j:uint = i; j >= inc && data[j-inc] > tmp; j -=inc)
{
data[j] = data[j-inc];
}
data[j] = tmp;
}
inc = Math.round(inc/2.2);
}
return data;
}
Ada
This is a generic implementation of the shell sort. Ada allows arrays to be indexed by integer or enumeration types starting at any value. This version deals with any kind or value of valid index type.
generic
type Element_Type is digits <>;
type Index_Type is (<>);
type Array_Type is array(Index_Type range <>) of Element_Type;
package Shell_Sort is
procedure Sort(Item : in out Array_Type);
end Shell_Sort;
package body Shell_Sort is
----------
-- Sort --
----------
procedure Sort (Item : in out Array_Type) is
Increment : Natural := Index_Type'Pos(Item'Last) / 2;
J : Index_Type;
Temp : Element_Type;
begin
while Increment > 0 loop
for I in Index_Type'Val(Increment) .. Item'Last loop
J := I;
Temp := Item(I);
while J > Index_Type'val(Increment) and then Item (Index_Type'Val(Index_Type'Pos(J) - Increment)) > Temp loop
Item(J) := Item (Index_Type'Val(Index_Type'Pos(J) - Increment));
J := Index_Type'Val(Index_Type'Pos(J) - Increment);
end loop;
Item(J) := Temp;
end loop;
if Increment = 2 then
Increment := 1;
else
Increment := Increment * 5 / 11;
end if;
end loop;
end Sort;
end Shell_Sort;
ALGOL 68
File: prelude/sort/shell.a68
# -*- coding: utf-8 -*- #
COMMENT
REQUIRES(
MODE SORTELEMENT = mode of element of array to be sorted...
OP < = (SORTELEMENT a, b)BOOL: a < b;
)
END COMMENT
MODE SORTELEMENTCMP = PROC(SORTELEMENT,SORTELEMENT)BOOL;
# create a global sort procedure for convenience #
PROC(SORTELEMENT,SORTELEMENT)BOOL sort cmp default := (SORTELEMENT a, b)BOOL: a < b;
PROC sort cmp rev = (SORTELEMENT a, b)BOOL: NOT sort cmp default(a,b);
# Alternative gap calculations: #
# ⌊n/2**k⌋; ⌊n/2⌋; Θ(n**2) [when n=2**p]; Donald Shell 1959 #
PROC sort gap shell = (INT k, n)INT: n OVER 2;
# 2 ⌊n/2**(k+1)⌋+1; 2 ⌊n/4⌋+1, ..., 3, 1; Θ(n**(3/2)); Frank & Lazarus, 1960 #
# 2**k-1; 1, 3, 7, 15, 31, 63, ...; Θ(n**(3/2)); Hibbard, 1963 #
# 2**k+1, prefixed with 1; 1, 3, 5, 9, 17, 33, 65, ...; Θ(n**(3/2)); Papernov & Stasevich, 1965 #
# successive numbers of the form 2**p 3**q; 1, 2, 3, 4, 6, 8, 9, 12, ...; Θ(n log**2 n); Pratt 1971 #
# (3**k-1)/2, not greater than ⌈n/3⌉; 1, 4, 13, 40, 121, ...; Θ(n**(3/2)); Knuth 1973 #
# ∏a[q], where r=⌊√(2k+√(2k))⌋ and a[q]=min(n∈𝒩:n≥(5/2)**(q+1) and ∀ p:0≤ p<q → gcd(a[p],n)=1);
limit where 0≤q<r and q≠(r**2+r)/2-k
1, 3, 7, 21, 48, 112, ...; O(n e**√(8ln(5/2)ln n)); Incerpi & Sedgewick, 1985 #
# 4**k+3×2**(k-1)+1, prefixed with 1; 1, 8, 23, 77, 281, ...; Θ(n**(4/3)); Sedgewick, 1986 #
# 9(4**(k-1)-2**(k-1))+1, 4**(k+1)-6×2**k+1; 1, 5, 19, 41, 109, ...; Θ(n**(4/3)); Sedgewick, 1986 #
# h[k]=max(⌊5h[k-1]/11⌋, 1), h[0]=n; ⌊5N/11⌋, ⌊5/11 ⌊5N/11⌋⌋, ..., 1; Θ(?); Gonnet & Baeza-Yates, 1991 #
PROC sort gap gonnet and baeza yates = (INT k, n)INT: IF n=2 THEN 1 ELSE n*5 OVER 11 FI;
# ⌈(9**k-4**k)/(5×4**(k-1))⌉; 1, 4, 9, 20, 46, 103, ...; Θ(?); Tokuda, 1992 #
# unknown; 1, 4, 10, 23, 57, 132, 301, 701; Θ(?); Ciura, 2001 #
# set default gap calculation #
PROC (INT #k#, INT #n#)INT sort gap := sort gap gonnet and baeza yates;
PROC shell sort in place = (REF []SORTELEMENT array, UNION(VOID, SORTELEMENTCMP) opt cmp)REF[]SORTELEMENT:(
SORTELEMENTCMP cmp := (opt cmp|(SORTELEMENTCMP cmp): cmp | sort cmp default);
INT n := ( UPB array + LWB array + 1 ) OVER 2; # initial gap #
FOR k WHILE n NE 0 DO
FOR index FROM LWB array TO UPB array DO
INT i := index;
SORTELEMENT element = array[i];
WHILE ( i - LWB array >= n | cmp(element, array[i-n]) | FALSE ) DO
array[i] := array[i-n];
i -:= n
OD;
array[i] := element
OD;
n := sort gap(k,n)
OD;
array
);
PROC shell sort = ([]SORTELEMENT seq)[]SORTELEMENT:
shell sort in place(LOC[LWB seq: UPB seq]SORTELEMENT:=seq, EMPTY);
PROC shell sort rev = ([]SORTELEMENT seq)[]SORTELEMENT:
shell sort in place(LOC[LWB seq: UPB seq]SORTELEMENT:=seq, sort cmp rev);
SKIPFile: test/sort/shell.a68
#!/usr/bin/a68g --script #
# -*- coding: utf-8 -*- #
MODE SORTELEMENT = CHAR;
PR read "prelude/sort/shell.a68" PR;
[]SORTELEMENT char array data = "big fjords vex quick waltz nymph";
print((shell sort(char array data), new line))- Output:
abcdefghiijklmnopqrstuvwxyz
AppleScript
-- In-place Shell sort.
-- Algorithm: Donald Shell, 1959.
on ShellSort(theList, l, r) -- Sort items l thru r of theList.
set listLength to (count theList)
if (listLength < 2) then return
-- Convert negative and/or transposed range indices.
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}
-- The list as a script property to allow faster references to its items.
script o
property lst : theList
end script
set stepSize to (r - l + 1) div 2
repeat while (stepSize > 0)
repeat with i from (l + stepSize) to r
set currentValue to o's lst's item i
repeat with j from (i - stepSize) to l by -stepSize
set thisValue to o's lst's item j
if (thisValue > currentValue) then
set o's lst's item (j + stepSize) to thisValue
else
set j to j + stepSize
exit repeat
end if
end repeat
if (j < i) then set o's lst's item j to currentValue
end repeat
set stepSize to (stepSize / 2.2) as integer
end repeat
return -- nothing.
end ShellSort
property sort : ShellSort
-- Demo:
local aList
set aList to {56, 44, 72, 4, 93, 26, 61, 72, 52, 9, 87, 26, 73, 75, 94, 91, 30, 18, 63, 16}
sort(aList, 1, -1) -- Sort items 1 thru -1 of aList.
return aList
- Output:
{4, 9, 16, 18, 26, 26, 30, 44, 52, 56, 61, 63, 72, 72, 73, 75, 87, 91, 93, 94}
ARM Assembly
/* ARM assembly Raspberry PI */
/* program shellSort.s */
/************************************/
/* Constantes */
/************************************/
.equ STDOUT, 1 @ Linux output console
.equ EXIT, 1 @ Linux syscall
.equ WRITE, 4 @ Linux syscall
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessSortOk: .asciz "Table sorted.\n"
szMessSortNok: .asciz "Table not sorted !!!!!.\n"
sMessResult: .ascii "Value : "
sMessValeur: .fill 11, 1, ' ' @ size => 11
szCarriageReturn: .asciz "\n"
.align 4
iGraine: .int 123456
.equ NBELEMENTS, 10
#TableNumber: .int 1,3,6,2,5,9,10,8,4,7
TableNumber: .int 10,9,8,7,6,5,4,3,2,1
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
1:
ldr r0,iAdrTableNumber @ address number table
mov r1,#0 @ not use in routine
mov r2,#NBELEMENTS @ number of élements
bl shellSort
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
iAdrsMessValeur: .int sMessValeur
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
/***************************************************/
/* shell Sort */
/***************************************************/
/* r0 contains the address of table */
/* r1 contains the first element but not use !! */
/* this routine use first element at index zero !!! */
/* r2 contains the number of element */
shellSort:
push {r0-r7,lr} @save registers
sub r2,#1 @ index last item
mov r1,r2 @ init gap = last item
1: @ start loop 1
lsrs r1,#1 @ gap = gap / 2
beq 100f @ if gap = 0 -> end
mov r3,r1 @ init loop indice 1
2: @ start loop 2
ldr r4,[r0,r3,lsl #2] @ load first value
mov r5,r3 @ init loop indice 2
3: @ start loop 3
cmp r5,r1 @ indice < gap
blt 4f @ yes -> end loop 2
sub r6,r5,r1 @ index = indice - gap
ldr r7,[r0,r6,lsl #2] @ load second value
cmp r4,r7 @ compare values
strlt r7,[r0,r5,lsl #2] @ store if <
sublt r5,r1 @ indice = indice - gap
blt 3b @ and loop
4: @ end loop 3
str r4,[r0,r5,lsl #2] @ store value 1 at indice 2
add r3,#1 @ increment indice 1
cmp r3,r2 @ end ?
ble 2b @ no -> loop 2
b 1b @ yes loop for new gap
100: @ end function
pop {r0-r7,lr} @ restaur registers
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,iAdrsMessValeur @ display value
bl conversion10 @ call function
ldr r0,iAdrsMessResult
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
/******************************************************************/
/* display text with size calculation */
/******************************************************************/
/* r0 contains the address of the message */
affichageMess:
push {r0,r1,r2,r7,lr} @ save registres
mov r2,#0 @ counter length
1: @ loop length calculation
ldrb r1,[r0,r2] @ read octet start position + index
cmp r1,#0 @ if 0 its over
addne r2,r2,#1 @ else add 1 in the length
bne 1b @ and loop
@ so here r2 contains the length of the message
mov r1,r0 @ address message in r1
mov r0,#STDOUT @ code to write to the standard output Linux
mov r7, #WRITE @ code call system "write"
svc #0 @ call systeme
pop {r0,r1,r2,r7,lr} @ restaur des 2 registres */
bx lr @ return
/******************************************************************/
/* Converting a register to a decimal unsigned */
/******************************************************************/
/* r0 contains value and r1 address area */
/* r0 return size of result (no zero final in area) */
/* area size => 11 bytes */
.equ LGZONECAL, 10
conversion10:
push {r1-r4,lr} @ save registers
mov r3,r1
mov r2,#LGZONECAL
1: @ start loop
bl divisionpar10U @ unsigned r0 <- dividende. quotient ->r0 reste -> r1
add r1,#48 @ digit
strb r1,[r3,r2] @ store digit on area
cmp r0,#0 @ stop if quotient = 0
subne r2,#1 @ else previous position
bne 1b @ and loop
@ and move digit from left of area
mov r4,#0
2:
ldrb r1,[r3,r2]
strb r1,[r3,r4]
add r2,#1
add r4,#1
cmp r2,#LGZONECAL
ble 2b
@ and move spaces in end on area
mov r0,r4 @ result length
mov r1,#' ' @ space
3:
strb r1,[r3,r4] @ store space in area
add r4,#1 @ next position
cmp r4,#LGZONECAL
ble 3b @ loop if r4 <= area size
100:
pop {r1-r4,lr} @ restaur registres
bx lr @return
/***************************************************/
/* division par 10 unsigned */
/***************************************************/
/* r0 dividende */
/* r0 quotient */
/* r1 remainder */
divisionpar10U:
push {r2,r3,r4, lr}
mov r4,r0 @ save value
//mov r3,#0xCCCD @ r3 <- magic_number lower raspberry 3
//movt r3,#0xCCCC @ r3 <- magic_number higter raspberry 3
ldr r3,iMagicNumber @ r3 <- magic_number raspberry 1 2
umull r1, r2, r3, r0 @ r1<- Lower32Bits(r1*r0) r2<- Upper32Bits(r1*r0)
mov r0, r2, LSR #3 @ r2 <- r2 >> shift 3
add r2,r0,r0, lsl #2 @ r2 <- r0 * 5
sub r1,r4,r2, lsl #1 @ r1 <- r4 - (r2 * 2) = r4 - (r0 * 10)
pop {r2,r3,r4,lr}
bx lr @ leave function
iMagicNumber: .int 0xCCCCCCCDArturo
shellSort: function [items][
a: new items
h: size a
while [h > 0][
h: h / 2
loop h..dec size a 'i [
k: a\[i]
j: i
while [and? [j >= h] [k < a\[j-h]]][
a\[j]: a\[j-h]
j: j - h
]
a\[j]: k
]
]
return a
]
print shellSort [3 1 2 8 5 7 9 4 6]
- Output:
1 2 3 4 5 6 7 8 9
ATS
For arrays whose elements may be of linear type
(* Shell sort with both the gap sequence and the order predicate
selected by templates. *)
#include "share/atspre_staload.hats"
(*------------------------------------------------------------------*)
(* Interface *)
extern fn {a : vt@ype} (* The "less than" template. *)
shell_sort$lt : (&a, &a) -<> bool
extern fn {} (* Maps array size to a gap sequence. *)
shell_sort$gaps : {n : int} size_t n -<> List1 ([i : pos] size_t i)
extern fn {a : vt@ype}
shell_sort {n : int}
(arr : &array (a, n) >> _,
n : size_t n)
:<!wrt> void
(*------------------------------------------------------------------*)
(* Implementation *)
extern praxi
array_v_takeout2 (* Get views for two distinct array elements.*)
{a : vt@ype}
{p : addr}
{n : int}
{i, j : nat | i < n; j < n; i != j}
(pfarr : array_v (a, p, n))
:<prf> @(a @ p + (i * sizeof a),
a @ p + (j * sizeof a),
(a @ p + (i * sizeof a),
a @ p + (j * sizeof a)) -<prf,lin> array_v (a, p, n))
implement {a}
shell_sort {n} (arr, n) =
let
fun
gapped_sort {gap : pos | gap < n}
{i : int | gap <= i; i <= n}
{p_arr : addr}
.<n - i>.
(pf_arr : !array_v (a, p_arr, n) >> _ |
p_arr : ptr p_arr,
gap : size_t gap,
i : size_t i)
:<!wrt> void =
if i <> n then
let
fun
move_elems {j : nat | j <= i}
.<j>.
(pf_arr : !array_v (a, p_arr, n) >> _ |
j : size_t j)
:<!wrt> void =
(* For simplicity in the safe use of an array, use
interchanges of array elements, instead of a temporary
variable and moves. *)
if gap <= j then
let
stadef k = j - gap
prval () = prop_verify {0 <= k} ()
prval () = prop_verify {k < j} ()
val k : size_t k = j - gap
val pk = ptr_add<a> (p_arr, k)
and pj = ptr_add<a> (p_arr, j)
prval @(pfk, pfj, fpf) =
array_v_takeout2 {a} {p_arr} {n} {k, j} pf_arr
val is_less = shell_sort$lt<a> (!pj, !pk)
prval () = pf_arr := fpf (pfk, pfj)
in
if is_less then
begin
array_interchange (!p_arr, k, j);
move_elems (pf_arr | k)
end
end
in
move_elems (pf_arr | i);
gapped_sort (pf_arr | p_arr, gap, succ i)
end
fun
go_through_gaps
{num_gaps : nat}
.<num_gaps>.
(arr : &array (a, n) >> _,
gaps : list ([i : pos] size_t i, num_gaps))
:<!wrt> void =
case+ gaps of
| list_nil () => ()
| list_cons (gap, more_gaps) =>
if n <= gap then
go_through_gaps (arr, more_gaps)
else
begin
gapped_sort (view@ arr | addr@ arr, gap, gap);
go_through_gaps (arr, more_gaps)
end
in
go_through_gaps (arr, shell_sort$gaps<> n)
end
(*------------------------------------------------------------------*)
implement
shell_sort$lt<int> (x, y) =
x < y
implement
main0 () =
let
(* Gaps by Marcin Ciura. https://oeis.org/A102549 *)
val ciura_gaps =
$list{[i : pos] size_t i}
(i2sz 1750,
i2sz 701, i2sz 301,
i2sz 132, i2sz 57,
i2sz 23, i2sz 10,
i2sz 4, i2sz 1)
implement
shell_sort$gaps<> n =
(* Use Ciura's gaps, regardless of array size. *)
ciura_gaps
#define SIZE 30
var i : [i : nat] int i
var arr : array (int, SIZE)
in
array_initize_elt<int> (arr, i2sz SIZE, 0);
for (i := 0; i < SIZE; i := succ i)
arr[i] := $extfcall (int, "rand") % 10;
for (i := 0; i < SIZE; i := succ i)
print! (" ", arr[i]);
println! ();
shell_sort<int> (arr, i2sz SIZE);
for (i := 0; i < SIZE; i := succ i)
print! (" ", arr[i]);
println! ()
end- Output:
$ patscc -DATS_MEMALLOC_GCBDW -O3 shell_sort_task.dats -lgc && ./a.out 3 6 7 5 3 5 6 2 9 1 2 7 0 9 3 6 0 6 2 6 1 8 7 9 2 0 2 3 7 5 0 0 0 1 1 2 2 2 2 2 3 3 3 3 5 5 5 6 6 6 6 6 7 7 7 7 8 9 9 9
Comments:
Because the value of a[i] ends up in a particular spot earlier in the array, it is common to store that value in a temporary variable, rather than use interchanges (swaps) to move the value through the array. Writing "safe" code to do it with a temporary variable, however, would have been tedious, so I used interchanges. One can always write the implementation "unsafely", however. This will still leave you with about as much "safety" as one would expect from most other languages.
Furthermore, there is no difficulty in using the temporary-variable approach, if the elements of the array are assumed to be non-linear (t@ype instead of vt@ype). For example, the element type used in the demonstration (int) is not linear. And so the next version of the sort ...
For arrays whose elements must be of non-linear type
The differences from the previous implementation are mainly in the gapped_sort function. Note that the order predicate now gets its arguments by value instead of by reference.
(* Shell sort with both the gap sequence and the order predicate
selected by templates. *)
(* This version is only for arrays of non-linear elements (whose
values may freely be copied). Thus the code looks more like what
one would write in most other programming languages. *)
#include "share/atspre_staload.hats"
(*------------------------------------------------------------------*)
(* Interface *)
extern fn {a : t@ype} (* The "less than" template. *)
shell_sort2$lt : (a, a) -<> bool
extern fn {} (* Maps array size to a gap sequence. *)
shell_sort2$gaps : {n : int} size_t n -<> List1 ([i : pos] size_t i)
extern fn {a : t@ype}
shell_sort2 {n : int}
(arr : &array (a, n) >> _,
n : size_t n)
:<!wrt> void
(*------------------------------------------------------------------*)
(* Implementation *)
implement {a}
shell_sort2 {n} (arr, n) =
let
macdef lt = shell_sort2$lt<a>
fun
gapped_sort {gap : pos | gap < n}
{i : int | gap <= i; i <= n}
.<n - i>.
(arr : &array (a, n) >> _,
gap : size_t gap,
i : size_t i)
:<!wrt> void =
if i <> n then
let
fun
move_elems {j : nat | j <= i}
.<j>.
(arr : &array (a, n) >> _,
temp : a,
j : size_t j)
:<!wrt> void =
if j < gap then
arr[j] := temp
else if ~(temp \lt arr[j - gap]) then
arr[j] := temp
else
begin
arr[j] := arr[j - gap];
move_elems (arr, temp, j - gap)
end
in
move_elems (arr, arr[i], i);
gapped_sort (arr, gap, succ i)
end
fun
go_through_gaps
{num_gaps : nat}
.<num_gaps>.
(arr : &array (a, n) >> _,
gaps : list ([i : pos] size_t i, num_gaps))
:<!wrt> void =
case+ gaps of
| list_nil () => ()
| list_cons (gap, more_gaps) =>
if n <= gap then
go_through_gaps (arr, more_gaps)
else
begin
gapped_sort (arr, gap, gap);
go_through_gaps (arr, more_gaps)
end
in
go_through_gaps (arr, shell_sort2$gaps<> n)
end
(*------------------------------------------------------------------*)
implement
shell_sort2$lt<int> (x, y) =
x < y
implement
main0 () =
let
(* Gaps by Marcin Ciura. https://oeis.org/A102549 *)
val ciura_gaps =
$list{[i : pos] size_t i}
(i2sz 1750,
i2sz 701, i2sz 301,
i2sz 132, i2sz 57,
i2sz 23, i2sz 10,
i2sz 4, i2sz 1)
implement
shell_sort2$gaps<> n =
(* Use Ciura's gaps, regardless of array size. *)
ciura_gaps
#define SIZE 30
var i : [i : nat] int i
var arr : array (int, SIZE)
in
array_initize_elt<int> (arr, i2sz SIZE, 0);
for (i := 0; i < SIZE; i := succ i)
arr[i] := $extfcall (int, "rand") % 10;
for (i := 0; i < SIZE; i := succ i)
print! (" ", arr[i]);
println! ();
shell_sort2<int> (arr, i2sz SIZE);
for (i := 0; i < SIZE; i := succ i)
print! (" ", arr[i]);
println! ()
end- Output:
$ patscc -DATS_MEMALLOC_GCBDW -O3 shell_sort_task_nonlinear.dats -lgc && ./a.out 3 6 7 5 3 5 6 2 9 1 2 7 0 9 3 6 0 6 2 6 1 8 7 9 2 0 2 3 7 5 0 0 0 1 1 2 2 2 2 2 3 3 3 3 5 5 5 6 6 6 6 6 7 7 7 7 8 9 9 9
AutoHotkey
ahk forum: discussion
MsgBox % ShellSort("")
MsgBox % ShellSort("xxx")
MsgBox % ShellSort("3,2,1")
MsgBox % ShellSort("dog,000000,xx,cat,pile,abcde,1,cat,zz,xx,z")
MsgBox % ShellSort("12,11,10,9,8,4,5,6,7,3,2,1,10,13,14,15,19,17,18,16,20,10")
ShellSort(var) { ; SORT COMMA SEPARATED LIST
StringSplit a, var, `, ; make array (length = a0)
inc := a0
While inc:=round(inc/2.2) ; geometric gap sequence
Loop % a0-inc { ; insertion sort:
i := A_Index+inc, t := a%i%, j := i, k := j-inc
While j > inc && a%k% > t
a%j% := a%k%, j := k, k -= inc
a%j% := t
}
Loop % a0 ; construct string from sorted array
s .= "," . a%A_Index%
Return SubStr(s,2) ; drop leading comma
}
AWK
{
line[NR] = $0
}
END { # sort it with shell sort
increment = int(NR / 2)
while ( increment > 0 ) {
for(i=increment+1; i <= NR; i++) {
j = i
temp = line[i]
while ( (j >= increment+1) && (line[j-increment] > temp) ) {
line[j] = line[j-increment]
j -= increment
}
line[j] = temp
}
if ( increment == 2 )
increment = 1
else
increment = int(increment*5/11)
}
#print it
for(i=1; i <= NR; i++) {
print line[i]
}
}
BBC BASIC
Note that the array index is assumed to start at zero.
DIM test(9)
test() = 4, 65, 2, -31, 0, 99, 2, 83, 782, 1
PROCshellsort(test(), 10)
FOR i% = 0 TO 9
PRINT test(i%) ;
NEXT
PRINT
END
DEF PROCshellsort(a(), n%)
LOCAL h%, i%, j%, k
h% = n%
WHILE h%
IF h% = 2 h% = 1 ELSE h% DIV= 2.2
FOR i% = h% TO n% - 1
k = a(i%)
j% = i%
WHILE j% >= h% AND k < a(ABS(j% - h%))
a(j%) = a(j% - h%)
j% -= h%
ENDWHILE
a(j%) = k
NEXT
ENDWHILE
ENDPROC
- Output:
-31 0 1 2 2 4 65 83 99 782
BCPL
GET "libhdr"
LET shellsort(v, upb) BE
{ LET m = 1
UNTIL m>upb DO m := m*3 + 1 // Find first suitable value in the
// series: 1, 4, 13, 40, 121, 364, ...
{ m := m/3
FOR i = m+1 TO upb DO
{ LET vi = v!i
LET j = i
{ LET k = j - m
IF k<=0 | v!k < vi BREAK
v!j := v!k
j := k
} REPEAT
v!j := vi
}
} REPEATUNTIL m=1
}
MANIFEST { upb = 10000 }
LET start() = VALOF
{ LET v = getvec(upb)
try("shell", shellsort, v, upb)
writes("*nEnd of test*n")
freevec(v)
RESULTIS 0
}
AND try(name, sortroutine, v, upb) BE
{ // delay, referencing the first and last elements of v
FOR i = 1 TO 50000 DO v!upb := v!1
writef("*nSetting %n words of data for %s sort*n", upb, name)
FOR i = 1 TO upb DO v!i := randno(10000)
writef("Entering %s sort routine*n", name)
sortroutine(v, upb)
writes("Sorting complete*n")
TEST sorted(v, upb)
THEN writes("The data is now sorted*n")
ELSE writef("### ERROR: %s sort does not work*n", name)
}
AND sorted(v, n) = VALOF
{ //FOR i = 1 TO n-1 UNLESS v!i<=v!(i+1) RESULTIS FALSE
RESULTIS TRUE
}C
#include <stdio.h>
void shell_sort (int *a, int n) {
int h, i, j, t;
for (h = n; h /= 2;) {
for (i = h; i < n; i++) {
t = a[i];
for (j = i; j >= h && t < a[j - h]; j -= h) {
a[j] = a[j - h];
}
a[j] = t;
}
}
}
int main (int ac, char **av) {
int a[] = {4, 65, 2, -31, 0, 99, 2, 83, 782, 1};
int n = sizeof a / sizeof a[0];
int i;
for (i = 0; i < n; i++)
printf("%d%s", a[i], i == n - 1 ? "\n" : " ");
shell_sort(a, n);
for (i = 0; i < n; i++)
printf("%d%s", a[i], i == n - 1 ? "\n" : " ");
return 0;
}
- Output:
4 65 2 -31 0 99 2 83 782 1 -31 0 1 2 2 4 65 83 99 782
C#
public static class ShellSorter
{
public static void Sort<T>(IList<T> list) where T : IComparable
{
int n = list.Count;
int h = 1;
while (h < (n >> 1))
{
h = (h << 1) + 1;
}
while (h >= 1)
{
for (int i = h; i < n; i++)
{
int k = i - h;
for (int j = i; j >= h && list[j].CompareTo(list[k]) < 0; k -= h)
{
T temp = list[j];
list[j] = list[k];
list[k] = temp;
j = k;
}
}
h >>= 1;
}
}
}- Output:
Before: ======= -28 64 51 96 24 -51 15 4 51 37 -28 64 -18 -45 63 -64 -75 16 32 -44 -26 -50 -30 94 -55 -60 51 -30 14 -16 -42 22 91 -85 100 -14 -35 20 -73 11 -65 53 -25 -21 -65 16 -36 35 -69 -16 -13 -21 -103 80 -51 40 2 -7 11 29 65 -28 63 -108 -45 -8 -11 73 -8 -34 41 -20 -55 -64 4 41 5 -13 37 -39 -11 20 -24 -62 30 -19 30 -17 -11 -15 104 -14 -35 14 5 20 58 -38 6 -41 -23 88 49 -7 -54 -40 10 6 -57 -77 -6 -72 122 23 -39 67 121 63 28 31 43 -33 -1 59 -5 -91 After: ====== -108 -103 -91 -85 -77 -75 -73 -72 -69 -65 -65 -64 -64 -62 -60 -57 -55 -55 -54 -51 -51 -50 -45 -45 -44 -42 -41 -40 -39 -39 -38 -36 -35 -35 -34 -33 -30 -30 -28 -28 -28 -26 -25 -24 -23 -21 -21 -20 -19 -18 -17 -16 -16 -15 -14 -14 -13 -13 -11 -11 -11 -8 -8 -7 -7 -6 -5 -1 2 4 4 5 5 6 6 10 11 11 14 14 15 16 16 20 20 20 22 23 24 28 29 30 30 31 32 35 37 37 40 41 41 43 49 51 51 51 53 58 59 63 63 63 64 64 65 67 73 80 88 91 94 96 100 104 121 122
C++
#include <time.h>
#include <iostream>
//--------------------------------------------------------------------------------------------------
using namespace std;
//--------------------------------------------------------------------------------------------------
const int MAX = 126;
class shell
{
public:
shell()
{ _gap[0] = 1750; _gap[1] = 701; _gap[2] = 301; _gap[3] = 132; _gap[4] = 57; _gap[5] = 23; _gap[6] = 10; _gap[7] = 4; _gap[8] = 1; }
void sort( int* a, int count )
{
_cnt = count;
for( int x = 0; x < 9; x++ )
if( count > _gap[x] )
{ _idx = x; break; }
sortIt( a );
}
private:
void sortIt( int* arr )
{
bool sorted = false;
while( true )
{
sorted = true;
int st = 0;
for( int x = _gap[_idx]; x < _cnt; x += _gap[_idx] )
{
if( arr[st] > arr[x] )
{ swap( arr[st], arr[x] ); sorted = false; }
st = x;
}
if( ++_idx >= 8 ) _idx = 8;
if( sorted && _idx == 8 ) break;
}
}
void swap( int& a, int& b ) { int t = a; a = b; b = t; }
int _gap[9], _idx, _cnt;
};
//--------------------------------------------------------------------------------------------------
int main( int argc, char* argv[] )
{
srand( static_cast<unsigned int>( time( NULL ) ) ); int arr[MAX];
for( int x = 0; x < MAX; x++ )
arr[x] = rand() % MAX - rand() % MAX;
cout << " Before: \n=========\n";
for( int x = 0; x < 7; x++ )
{
for( int a = 0; a < 18; a++ )
{ cout << arr[x * 18 + a] << " "; }
cout << endl;
}
cout << endl; shell s; s.sort( arr, MAX );
cout << " After: \n========\n";
for( int x = 0; x < 7; x++ )
{
for( int a = 0; a < 18; a++ )
{ cout << arr[x * 18 + a] << " "; }
cout << endl;
}
cout << endl << endl; return system( "pause" );
}
//--------------------------------------------------------------------------------------------------
- Output:
Before: ======= -28 64 51 96 24 -51 15 4 51 37 -28 64 -18 -45 63 -64 -75 16 32 -44 -26 -50 -30 94 -55 -60 51 -30 14 -16 -42 22 91 -85 100 -14 -35 20 -73 11 -65 53 -25 -21 -65 16 -36 35 -69 -16 -13 -21 -103 80 -51 40 2 -7 11 29 65 -28 63 -108 -45 -8 -11 73 -8 -34 41 -20 -55 -64 4 41 5 -13 37 -39 -11 20 -24 -62 30 -19 30 -17 -11 -15 104 -14 -35 14 5 20 58 -38 6 -41 -23 88 49 -7 -54 -40 10 6 -57 -77 -6 -72 122 23 -39 67 121 63 28 31 43 -33 -1 59 -5 -91 After: ====== -108 -103 -91 -85 -77 -75 -73 -72 -69 -65 -65 -64 -64 -62 -60 -57 -55 -55 -54 -51 -51 -50 -45 -45 -44 -42 -41 -40 -39 -39 -38 -36 -35 -35 -34 -33 -30 -30 -28 -28 -28 -26 -25 -24 -23 -21 -21 -20 -19 -18 -17 -16 -16 -15 -14 -14 -13 -13 -11 -11 -11 -8 -8 -7 -7 -6 -5 -1 2 4 4 5 5 6 6 10 11 11 14 14 15 16 16 20 20 20 22 23 24 28 29 30 30 31 32 35 37 37 40 41 41 43 49 51 51 51 53 58 59 63 63 63 64 64 65 67 73 80 88 91 94 96 100 104 121 122
COBOL
Complete Program
Should work in Cobol/2 too. Picture for array to be sorted is purely fictional, there's no boundary check - hence: be careful! Program will sort any array using standard EBCDIC sequence (won't work properly with signed packed variables). In addition to the "usual" array and array lenght parameters, you need to supply an area (initialized to low-values) to detail row-length and up to 10 sort keys defined as follows: start position (1 based), length and sequence (Ascending/Descending).
*******************************************************
IDENTIFICATION DIVISION.
*******************************************************
PROGRAM-ID. SHELLSRT.
************************************************************
*** SHELLSORT ****
************************************************************
ENVIRONMENT DIVISION.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 II PIC S9(008) COMP-5.
01 IJ PIC S9(008) COMP-5.
01 IZ PIC S9(008) COMP-5.
01 IA PIC S9(008) COMP-5.
01 STRT1 PIC S9(008) COMP-5.
01 STRT2 PIC S9(008) COMP-5.
01 LGT PIC S9(008) COMP-5.
01 ORG PIC S9(008) COMP-5.
01 DST PIC S9(008) COMP-5.
*
01 GAP PIC S9(008) COMP-5.
01 NEGAP PIC S9(008) COMP-5.
01 TEMP PIC X(32768).
77 KEY-RESULT PIC X.
*
LINKAGE SECTION.
01 SRT-ARRAY PIC X(1000000).
01 NUM-ITEM PIC 9(008) COMP-5.
01 SRT-DATA.
03 LGT-ITEM PIC 9(004) COMP-5.
03 SRT-KEYS.
05 SRT-KEY OCCURS 10.
07 K-START PIC S9(004) COMP-5.
07 K-LENGTH PIC S9(004) COMP-5.
07 K-ASC PIC X.
*
* P R O C E D U R E D I V I S I O N
*
PROCEDURE DIVISION USING SRT-ARRAY NUM-ITEM SRT-DATA.
COMPUTE GAP = NUM-ITEM / 2.
PERFORM UNTIL GAP < 1
COMPUTE NEGAP = GAP * -1
PERFORM VARYING II FROM GAP BY 1
UNTIL II GREATER NUM-ITEM
MOVE ' ' TO KEY-RESULT
COMPUTE ORG = (II - 1) * LGT-ITEM + 1
MOVE SRT-ARRAY(ORG:LGT-ITEM) TO TEMP(1:LGT-ITEM)
PERFORM VARYING IJ FROM II BY NEGAP
UNTIL IJ NOT GREATER GAP
OR (KEY-RESULT NOT EQUAL '<' AND ' ')
COMPUTE IA = IJ - GAP
IF IA < 1
MOVE 1 TO IA
END-IF
PERFORM COMPARE-KEYS
IF KEY-RESULT = '<'
COMPUTE ORG = (IA - 1) * LGT-ITEM + 1
COMPUTE DST = (IJ - 1) * LGT-ITEM + 1
MOVE SRT-ARRAY(ORG:LGT-ITEM)
TO SRT-ARRAY(DST:LGT-ITEM)
COMPUTE DST = (IA - 1) * LGT-ITEM + 1
MOVE TEMP(1:LGT-ITEM) TO SRT-ARRAY(DST:LGT-ITEM)
END-IF
END-PERFORM
END-PERFORM
IF GAP = 2
MOVE 1 TO GAP
ELSE
COMPUTE GAP = GAP / 2.2
END-IF
END-PERFORM.
GOBACK.
*
COMPARE-KEYS.
MOVE ' ' TO KEY-RESULT
PERFORM VARYING IZ FROM 1 BY 1
UNTIL IZ GREATER 10
OR (KEY-RESULT NOT EQUAL '=' AND ' ')
IF SRT-KEY(IZ) GREATER LOW-VALUES
COMPUTE STRT1 = (IJ - 1) * LGT-ITEM + K-START(IZ)
COMPUTE STRT2 = (IA - 1) * LGT-ITEM + K-START(IZ)
MOVE K-LENGTH(IZ) TO LGT
IF SRT-ARRAY(STRT1:LGT) > SRT-ARRAY(STRT2:LGT) AND
K-ASC(IZ) EQUAL 'A'
OR SRT-ARRAY(STRT1:LGT) < SRT-ARRAY(STRT2:LGT) AND
K-ASC(IZ) EQUAL 'D'
MOVE '>' TO KEY-RESULT
END-IF
IF SRT-ARRAY(STRT1:LGT) < SRT-ARRAY(STRT2:LGT) AND
K-ASC(IZ) EQUAL 'A'
OR SRT-ARRAY(STRT1:LGT) > SRT-ARRAY(STRT2:LGT) AND
K-ASC(IZ) EQUAL 'D'
MOVE '<' TO KEY-RESULT
END-IF
END-IF
END-PERFORM.
IF KEY-RESULT = ' '
MOVE '=' TO KEY-RESULT
END-IF.
Sorting Process
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".
DIVIDE WC-SIZE BY 2 GIVING WC-GAP.
PERFORM E-PROCESS-GAP UNTIL WC-GAP = 0.
DISPLAY "SORT FINISHED".
C-999.
EXIT.
E-PROCESS-GAP SECTION.
E-000.
PERFORM F-SELECTION VARYING WB-IX-1 FROM WC-GAP BY 1
UNTIL WB-IX-1 > WC-SIZE.
DIVIDE WC-GAP BY 2.2 GIVING WC-GAP.
E-999.
EXIT.
F-SELECTION SECTION.
F-000.
SET WB-IX-2 TO WB-IX-1.
MOVE WB-ENTRY(WB-IX-1) TO WC-TEMP.
SET WB-IX-3 TO WB-IX-2.
SET WB-IX-3 DOWN BY WC-GAP.
PERFORM G-PASS UNTIL WB-IX-2 NOT > WC-GAP
* The next line logically reads :
* or wb-entry(wb-ix-2 - wc-gap) not > wc-temp.
OR WB-ENTRY(WB-IX-3) NOT > WC-TEMP.
IF WB-IX-1 NOT = WB-IX-2
MOVE WC-TEMP TO WB-ENTRY(WB-IX-2).
F-999.
EXIT.
G-PASS SECTION.
* Note that WB-IX-3 is WC-GAP less than WB-IX-2.
* Logically this should be :
* move wb-entry(wb-ix-2 - wc-gap) to wb-entry(wb-ix-2).
* set wb-ix-2 down by wc-gap.
* Unfortunately wb-entry(wb-ix-2 - wc-gap) is not legal in C2 cobol
G-000.
MOVE WB-ENTRY(WB-IX-3) TO WB-ENTRY(WB-IX-2).
SET WB-IX-2 DOWN BY WC-GAP.
SET WB-IX-3 DOWN BY WC-GAP.
G-999.
EXIT.
Common Lisp
(defun gap-insertion-sort (array predicate gap)
(let ((length (length array)))
(if (< length 2) array
(do ((i 1 (1+ i))) ((eql i length) array)
(do ((x (aref array i))
(j i (- j gap)))
((or (< (- j gap) 0)
(not (funcall predicate x (aref array (1- j)))))
(setf (aref array j) x))
(setf (aref array j) (aref array (- j gap))))))))
(defconstant +gaps+
'(1750 701 301 132 57 23 10 4 1)
"The best sequence of gaps, according to Marcin Ciura.")
(defun shell-sort (array predicate &optional (gaps +gaps+))
(assert (eql 1 (car (last gaps))) (gaps)
"Last gap of ~w is not 1." gaps)
(dolist (gap gaps array)
(gap-insertion-sort array predicate gap)))
D
import std.stdio: writeln;
void shellSort(T)(T[] seq) pure nothrow {
int inc = seq.length / 2;
while (inc) {
foreach (ref i, el; seq) {
while (i >= inc && seq[i - inc] > el) {
seq[i] = seq[i - inc];
i -= inc;
}
seq[i] = el;
}
inc = (inc == 2) ? 1 : cast(int)(inc * 5.0 / 11);
}
}
void main() {
auto data = [22, 7, 2, -5, 8, 4];
shellSort(data);
writeln(data);
}
- Output:
[-5, 2, 4, 7, 8, 22]
Dart
void main() {
List<int> a = shellSort([1100, 2, 56, 200, -52, 3, 99, 33, 177, -199]);
print('$a');
}
shellSort(List<int> array) {
int n = array.length;
// Start with a big gap, then reduce the gap
for (int gap = n~/2; gap > 0; gap ~/= 2)
{
// Do a gapped insertion sort for this gap size.
// The first gap elements a[0..gap-1] are already
// in gapped order keep adding one more element
// until the entire array is gap sorted
for (int i = gap; i < n; i += 1)
{
// add a[i] to the elements that have been gap
// sorted save a[i] in temp and make a hole at
// position i
int temp = array[i];
// shift earlier gap-sorted elements up until
// the correct location for a[i] is found
int j;
for (j = i; j >= gap && array[j - gap] > temp; j -= gap)
array[j] = array[j - gap];
// put temp (the original a[i]) in its correct
// location
array[j] = temp;
}
}
return array;
}
- Output:
[-199, -52, 2, 3, 33, 56, 99, 177, 200, 1100]
Delphi
Procedure ShellSort(var buf:Array of Integer);
const
gaps:array[0..7] of Integer = (701, 301, 132, 57, 23, 10, 4, 1);
var
whichGap, i, j, n, gap, temp : Integer;
begin
n := high(buf);
for whichGap := 0 to high(gaps) do begin
gap := gaps[whichGap];
for i := gap to n do begin
temp := buf[i];
j := i;
while ( (j >= gap ) and ( (buf[j-gap] > dt) ) do begin
buf[j] := buf[j-gap];
dec(j, gap);
end;
buf[j] := temp;
end;
end;
end;
E
/** Shell sort (in-place) */
def shellSort(array) {
var inc := array.size() // 2
while (inc.aboveZero()) {
for var i => a in array {
while (i >= inc && (def b := array[i - inc]) > a) {
array[i] := b
i -= inc
}
array[i] := a
}
inc := if (inc <=> 2) { 1 } else { (inc * 5.0 / 11).floor() }
}
}EasyLang
proc shellsort . a[] .
inc = len a[] div 2
while inc > 0
for i = inc to len a[]
tmp = a[i]
j = i
while j > inc and a[j - inc] > tmp
a[j] = a[j - inc]
j = j - inc
.
a[j] = tmp
.
inc = floor (0.5 + inc / 2.2)
.
.
a[] = [ -12 3 0 4 7 4 8 -5 9 ]
shellsort a[]
print a[]
- Output:
[ -12 -5 0 3 4 4 7 8 9 ]
Eiffel
Translated from pseudocode at Wikipedia
This solution is shown in the routine sort of the class MY_SORTED_SET.
For a more complete explanation of the Eiffel sort examples, see Bubble sort.
class
MY_SORTED_SET [G -> COMPARABLE]
inherit
TWO_WAY_SORTED_SET [G]
redefine
sort
end
create
make
feature
sort
-- Shell sort
local
inc: INTEGER
j: INTEGER
l_value: like item
do
from
inc := (count.to_double / 2.0).rounded
until
inc <= 0
loop
across inc |..| (count - 1) as ii
loop
l_value := Current [ii.item + 1]
from
j := ii.item
until
j < inc or Current [j - inc + 1] <= l_value
loop
Current [j + 1] := Current [j - inc + 1]
j := j - inc
end
Current [j + 1] := l_value
end
inc := (inc.to_double / 2.2).rounded
end
end
end
Elixir
defmodule Sort do
def shell_sort(list) when length(list)<=1, do: list
def shell_sort(list), do: shell_sort(list, div(length(list),2))
defp shell_sort(list, inc) do
gb = Enum.with_index(list) |> Enum.group_by(fn {_,i} -> rem(i,inc) end)
wk = Enum.map(0..inc-1, fn i ->
Enum.map(gb[i], fn {x,_} -> x end) |> insert_sort([])
end)
|> merge
if sorted?(wk), do: wk, else: shell_sort( wk, max(trunc(inc / 2.2), 1) )
end
defp merge(lists) do
len = length(hd(lists))
Enum.map(lists, fn list -> if length(list)<len, do: list++[nil], else: list end)
|> List.zip
|> Enum.flat_map(fn tuple -> Tuple.to_list(tuple) end)
|> Enum.filter(&(&1)) # remove nil
end
defp sorted?(list) do
Enum.chunk(list,2,1) |> Enum.all?(fn [a,b] -> a <= b end)
end
defp insert_sort(list), do: insert_sort(list, [])
defp insert_sort([], sorted), do: sorted
defp insert_sort([h | t], sorted), do: insert_sort(t, insert(h, sorted))
defp insert(x, []), do: [x]
defp insert(x, sorted) when x < hd(sorted), do: [x | sorted]
defp insert(x, [h | t]), do: [h | insert(x, t)]
end
list = [0, 14, 11, 8, 13, 15, 5, 7, 16, 17, 1, 6, 12, 2, 10, 4, 19, 9, 18, 3]
IO.inspect Sort.shell_sort(list)
- Output:
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
Euphoria
function shell_sort(sequence s)
integer gap,j
object temp
gap = floor(length(s)/2)
while gap > 0 do
for i = gap to length(s) do
temp = s[i]
j=i-gap
while j >= 1 and compare(temp, s[j]) <= 0 do
s[j+gap]=s[j]
j -= gap
end while
s[j+gap] = temp
end for
gap = floor(gap/2)
end while
return s
end function
constant s = rand(repeat(1000,10))
puts(1,"Before: ")
? s
puts(1,"After: ")
? shell_sort(s)- Output:
Before: {501,49,558,719,991,246,500,98,925,398}
After: {49,98,246,398,500,501,558,719,925,991}
Forth
defer less? ' < is less?
: shell { array len -- }
1 begin dup len u<= while 2* 1+ repeat { gap }
begin gap 2 = if 1 else gap 5 11 */ then dup to gap while
len gap do
array i cells +
dup @ swap ( temp last )
begin gap cells -
array over u<=
while 2dup @ less?
while dup gap cells + over @ swap !
repeat then
gap cells + !
loop
repeat ;
create array 8 , 1 , 4 , 2 , 10 , 3 , 7 , 9 , 6 , 5 ,
array 10 shell
array 10 cells dump
A version without local variables:
defer precedes ' < is precedes
: (shell) ( a n h -- a n h)
over >r tuck ( a h n h)
?do ( a h)
i swap >r ( a j R: h)
2dup cells + @ -rot ( k a j R: h)
begin ( k a j R: h)
dup r@ - dup >r 0< 0= ( k a j f R: h j-h)
while ( k a j R: h j-h)
-rot over over r@ cells + @ ( j k a k v R: h j-h)
precedes >r rot r> ( k a j f R: h j-h)
while ( k a j R: h j-h)
over r@ cells + @ >r ( k a j R: h j-h a[j-h])
2dup cells + r> swap ! ( k a j R: h j-h)
drop r> ( k a j' R: h)
repeat then ( k a j R: h j-h)
rot >r 2dup cells + ( a j a[j] R: h j-h k)
r> swap ! r> drop drop r> ( a h)
loop r> swap
;
( a n --)
: shell dup begin dup 2 = if 2/ else 5 11 */ then dup while (shell) repeat drop 2drop ;
create array 8 , 1 , 4 , 2 , 10 , 3 , 7 , 9 , 6 , 5 ,
array 10 shell
array 10 cells dump
Fortran
MODULE sort
CONTAINS
SUBROUTINE Shell_Sort(a)
IMPLICIT NONE
INTEGER :: i, j, increment
REAL :: temp
REAL, INTENT(in out) :: a(:)
increment = SIZE(a) / 2
DO WHILE (increment > 0)
DO i = increment+1, SIZE(a)
j = i
temp = a(i)
DO WHILE (j >= increment+1 .AND. a(j-increment) > temp)
a(j) = a(j-increment)
j = j - increment
END DO
a(j) = temp
END DO
IF (increment == 2) THEN
increment = 1
ELSE
increment = increment * 5 / 11
END IF
END DO
END SUBROUTINE Shell_Sort
END MODULE sort
PROGRAM Shellsort
USE sort
IMPLICIT NONE
REAL :: array(1000)
CALL RANDOM_SEED
CALL RANDOM_NUMBER(array)
WRITE (*,*) "Unsorted array"
WRITE (*,*) array
WRITE (*,*)
CALL Shell_Sort(array)
WRITE (*,*) "Sorted array"
WRITE (*,*) array
END PROGRAM Shellsort
FreeBASIC
modified bubble sort code
' version 21-10-2016
' compile with: fbc -s console
' for boundry checks on array's compile with: fbc -s console -exx
Sub shellsort(s() 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(s)
Dim As Long ub = UBound(s)
Dim As Long done, i, inc = ub - lb
Do
inc = Int(inc / 2.2)
If inc < 1 Then inc = 1
Do
done = 0
For i = lb To ub - inc
' replace "<" with ">" for downwards sort
If s(i) > s(i + inc) Then
Swap s(i), s(i + inc)
done = 1
End If
Next
Loop Until done = 0
Loop Until inc = 1
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 "unsorted ";
For i = a To b : Print Using "####"; array(i); : Next : Print
shellsort(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:
unsorted 1 -4 -1 7 -6 3 6 -7 -5 2 -2 0 5 4 -3 sorted -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Go
Following WP pseudocode:
package main
import "fmt"
var a = []int{170, 45, 75, -90, -802, 24, 2, 66}
func main() {
fmt.Println("before:", a)
for inc := len(a) / 2; inc > 0; inc = (inc + 1) * 5 / 11 {
for i := inc; i < len(a); i++ {
j, temp := i, a[i]
for ; j >= inc && a[j-inc] > temp; j -= inc {
a[j] = a[j-inc]
}
a[j] = temp
}
}
fmt.Println("after: ", a)
}
- Output:
before: [170 45 75 -90 -802 24 2 66] after: [-802 -90 2 24 45 66 75 170]
Haskell
Adapted version from [2]
import Data.List
shellSort xs = foldr (invColumnize (map (foldr insert []))) xs gaps
where gaps = takeWhile (< length xs) $ iterate (succ.(3*)) 1
invColumnize f k = concat. transpose. f. transpose
. takeWhile (not.null). unfoldr (Just. splitAt k)
Haxe
class ShellSort {
@:generic
public static function sort<T>(arr:Array<T>) {
var h = arr.length;
while (h > 0) {
h >>= 1;
for (i in h...arr.length) {
var k = arr[i];
var j = i;
while (j >= h && Reflect.compare(k, arr[j - h]) < 0) {
arr[j] = arr[j - h];
j -= h;
}
arr[j] = k;
}
}
}
}
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);
ShellSort.sort(integerArray);
Sys.println('Sorted Integers: ' + integerArray);
Sys.println('Unsorted Floats: ' + floatArray);
ShellSort.sort(floatArray);
Sys.println('Sorted Floats: ' + floatArray);
Sys.println('Unsorted Strings: ' + stringArray);
ShellSort.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.
- Output:
Abbreviated sample
Sorting Demo using procedure shellsort
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
Translated from pseudocode at Wikipedia
List do(
shellSortInPlace := method(
gap := (size / 2) round
while(gap > 0,
for(i, gap, size - 1,
key := at(i)
j := i
while(j >= gap and at(j - gap) > key,
atPut(j, at(j - gap))
j = j - gap
)
atPut(j, key)
)
gap = (gap / 2.2) round
)
self)
)
l := list(2, 3, 4, 5, 1)
l shellSortInPlace println # ==> list(1, 2, 3, 4, 5)
IS-BASIC
100 PROGRAM "ShellSrt.bas"
110 RANDOMIZE
120 LET N=20 ! Number of elements
130 NUMERIC ARRAY(1 TO N)
140 CALL INIT(ARRAY)
150 CALL WRITE(ARRAY)
160 CALL SHELLSORT(ARRAY)
170 CALL WRITE(ARRAY)
180 DEF INIT(REF A)
190 FOR I=LBOUND(A) TO UBOUND(A)
200 LET A(I)=RND(N)+1
210 NEXT
220 END DEF
230 DEF WRITE(REF A)
240 FOR I=LBOUND(A) TO UBOUND(A)
250 PRINT A(I);
260 NEXT
270 PRINT
280 END DEF
290 DEF SHELLSORT(REF A)
300 LET D=2^INT(LOG(N)/LOG(2))-1
310 DO
320 LET I=1
330 DO WHILE I<=D AND I+D<=N
340 FOR J=I+D TO N STEP D
350 LET AH=A(J):LET BH=J-D
360 DO WHILE BH>0 AND AH<A(BH)
370 LET A(BH+D)=A(BH):LET BH=BH-D
380 LOOP
390 LET A(BH+D)=AH
400 NEXT
410 LET I=I+1
420 LOOP
430 LET D=INT(D/2)
440 LOOP WHILE D>0
450 END DEFJ
Solution
gaps =: [: }: 1 (1+3*])^:(> {:)^:a:~ #
insert =: (I.~ {. ]) , [ , ] }.~ I.~
gapinss =: #@] {. ,@|:@(] insert//.~ #@] $ i.@[)
shellSort =: [: ; gapinss &.>/@(< ,~ ]&.>@gaps)
Example:
shellSort 8 6 4 2 1 3 5 7 9
1 2 3 4 5 6 7 8 9
Java
This method will sort in place. If you want to preserve your unsorted array, use a copy of the array as an argument to this method.
public static void shell(int[] a) {
int increment = a.length / 2;
while (increment > 0) {
for (int i = increment; i < a.length; i++) {
int j = i;
int temp = a[i];
while (j >= increment && a[j - increment] > temp) {
a[j] = a[j - increment];
j = j - increment;
}
a[j] = temp;
}
if (increment == 2) {
increment = 1;
} else {
increment *= (5.0 / 11);
}
}
}
JavaScript
function shellSort (a) {
for (var h = a.length; h > 0; h = parseInt(h / 2)) {
for (var i = h; i < a.length; i++) {
var k = a[i];
for (var j = i; j >= h && k < a[j - h]; j -= h)
a[j] = a[j - h];
a[j] = k;
}
}
return a;
}
var a = [];
var n = location.href.match(/\?(\d+)|$/)[1] || 10;
for (var i = 0; i < n; i++)
a.push(parseInt(Math.random() * 100));
shellSort(a);
document.write(a.join(" "));
jq
Adapted from the #Go entry on this page.
shellSort as defined here can be used to sort an array of arbitrary JSON entities.
# The "while" loops are implemented using the following jq function:
# As soon as "condition" is true, then emit . and stop:
def do_until(condition; next):
def u: if condition then . else (next|u) end;
u;
# sort the input array
def shellSort:
length as $length
| [ ($length/2|floor), .] # L1: state: [h, array]
| do_until( .[0] == 0;
.[0] as $h
| reduce range($h; $length) as $i # L2: state: array
( .[1];
.[$i] as $k
| [ $i, . ] # L3: state: [j, array]
| do_until( .[0] < $h or ($k >= .[1][.[0] - $h]);
.[0] as $j
| [ ($j - $h), (.[1]|setpath([$j]; .[$j - $h])) ] )
| .[0] as $j | (.[1]|setpath([$j]; $k)) # i.e. a[j] = $k
)
| [(($h+1)*5/11 | floor), .] )
| .[1] ;Example:
([],
[5,null,3,1,2,0,4.4,5]
) | shellSort- Output:
$ jq -M -c -n -f Shell_sort.jq
[]
[null,0,1,2,3,4.4,5,5]
Julia
# v0.6
function shellsort!(a::Array{Int})::Array{Int}
incr = div(length(a), 2)
while incr > 0
for i in incr+1:length(a)
j = i
tmp = a[i]
while j > incr && a[j - incr] > tmp
a[j] = a[j-incr]
j -= incr
end
a[j] = tmp
end
if incr == 2
incr = 1
else
incr = floor(Int, incr * 5.0 / 11)
end
end
return a
end
x = rand(1:10, 10)
@show x shellsort!(x)
@assert issorted(x)
- Output:
x = [2, 6, 9, 2, 3, 9, 5, 2, 5, 9] shellsort!(x) = [2, 2, 2, 3, 5, 5, 6, 9, 9, 9]
Kotlin
// version 1.1.0
val gaps = listOf(701, 301, 132, 57, 23, 10, 4, 1) // Marcin Ciura's gap sequence
fun shellSort(a: IntArray) {
for (gap in gaps) {
for (i in gap until a.size) {
val temp = a[i]
var j = i
while (j >= gap && a[j - gap] > temp) {
a[j] = a[j - gap]
j -= gap
}
a[j] = temp
}
}
}
fun main(args: Array<String>) {
val aa = arrayOf(
intArrayOf(100, 2, 56, 200, -52, 3, 99, 33, 177, -199),
intArrayOf(4, 65, 2, -31, 0, 99, 2, 83, 782, 1),
intArrayOf(62, 83, 18, 53, 7, 17, 95, 86, 47, 69, 25, 28)
)
for (a in aa) {
shellSort(a)
println(a.joinToString(", "))
}
}
- Output:
-199, -52, 2, 3, 33, 56, 99, 100, 177, 200 -31, 0, 1, 2, 2, 4, 65, 83, 99, 782 7, 17, 18, 25, 28, 47, 53, 62, 69, 83, 86, 95
Liberty BASIC
siz = 100
dim a(siz)
for i = 1 to siz
a(i) = int(rnd(1) * 1000)
next
' -------------------------------
' Shell Sort
' -------------------------------
incr = int(siz / 2)
WHILE incr > 0
for i = 1 to siz
j = i
temp = a(i)
WHILE (j >= incr+1 and a(abs(j-incr)) > temp)
a(j) = a(j-incr)
j = j - incr
wend
a(j) = temp
next
IF incr = 2 THEN
incr = 1
ELSE
incr = int(incr * (5 / 11))
end if
WEND
for i = 1 to siz
print a(i)
nextLisaac
Section Header
+ name := SHELL_SORT;
- external := `#include <time.h>`;
Section Public
- main <- (
+ a : ARRAY[INTEGER];
a := ARRAY[INTEGER].create 0 to 100;
`srand(time(NULL))`;
0.to 100 do { i : INTEGER;
a.put `rand()`:INTEGER to i;
};
shell a;
a.foreach { item : INTEGER;
item.print;
'\n'.print;
};
);
- shell a : ARRAY[INTEGER] <- (
+ lower, length, increment, temp : INTEGER;
lower := a.lower;
length := a.upper - lower + 1;
increment := length;
{
increment := increment / 2;
increment > 0
}.while_do {
increment.to (length - 1) do { i : INTEGER; + j : INTEGER;
temp := a.item(lower + i);
j := i - increment;
{ (j >= 0) && { a.item(lower + j) > temp } }.while_do {
a.put (a.item(lower + j)) to (lower + j + increment);
j := j - increment;
};
a.put temp to (lower + j + increment);
};
};
);Lua
function shellsort( a )
local inc = math.ceil( #a / 2 )
while inc > 0 do
for i = inc, #a do
local tmp = a[i]
local j = i
while j > inc and a[j-inc] > tmp do
a[j] = a[j-inc]
j = j - inc
end
a[j] = tmp
end
inc = math.floor( 0.5 + inc / 2.2 )
end
return a
end
a = { -12, 3, 0, 4, 7, 4, 8, -5, 9 }
a = shellsort( a )
for _, i in pairs(a) do
print(i)
end
M2000 Interpreter
We use & for passing by reference. Variables with % are integers, and can be any type, a double by default with no decimals, or Decimal, Currency, Long, Integer, Float. When we change value, using operators ++ -- += -= /= *= the final value round to integer using 0.5 where 1.5 give 2. So A%=1/2 give A%=1 and A%=-1/2 give A%=-1. A%=Int(1/2) give A%=0, A%=Int(-1/2) give A%=-1 (int is same as floor() and there is ceil() too, and there is a Bank() for bank type rounding)
For Next in M2000 always execute at least one time the code inside (we can change it using a switch, in M2000 environment, to act as in BASIC). From step get the absolute value, and direction get from starting and ending value. So For i=1 to 0 { } execute two times the block with standard switch "-For" or no execute if switch is "+For". A For statement can be as in this example or the faster For { } without Next
Module ShellSortExample {
Module shellsort(&a()) {
DEf h%, i%, j%, k, n%
n%=LEN(a())
h% = n%
WHILE h% {
IF h% = 2 THEN {h% = 1 }ELSE h%= h% DIV 2.2
FOR i% = h% TO n% - 1
k = a(i%)
j% = i%
WHILE j% >= h% AND k < a(ABS(j% - h%)) {
a(j%) = a(j% - h%)
j% -= h%
}
a(j%) = k
NEXT i%
}
}
Dim numbers(10)
numbers(0)=4, 65, 2, -31, 0, 99, 2, 83, 782, 1
shellsort &numbers()
Print numbers()
}
ShellSortExampleMaple
shellsort := proc(arr)
local n, gap, i, val, j;
n := numelems(arr):
gap := trunc(n/2):
while (gap > 0) do #notice by 1 error
for i from gap to n by 1 do
val := arr[i];
j := i;
while (j > gap and arr[j-gap] > val) do
arr[j] := arr[j-gap];
j -= gap;
end do;
arr[j] := val;
end do;
gap := trunc(gap/2);
end do;
end proc;
arr := Array([17,3,72,0,36,2,3,8,40,0]);
shellsort(arr);
arr;
- Output:
[0,0,2,3,3,8,17,36,40,72]
Mathematica /Wolfram Language
shellSort[ lst_ ] := Module[ {list = lst, incr, temp, i, j},
incr = Round[Length[list]/2];
While[incr > 0,
For[i = incr + 1, i <= Length[list], i++,
temp = list[[i]]; j = i;
While[(j >= (incr + 1)) && (list[[j - incr]] > temp) ,
list[[j]] = list[[j - incr]]; j = j-incr;
];
list[[j]] = temp;];
If[incr == 2, incr = 1, incr = Round[incr/2.2]]
]; list
]
shellSort[{2,1,4,6,8}]
{1,2,4,6,8}
MATLAB / Octave
This is a translation of the FORTRAN solution into MATLAB.
function list = shellSort(list)
N = numel(list);
increment = round(N/2);
while increment > 0
for i = (increment+1:N)
temp = list(i);
j = i;
while (j >= increment+1) && (list(j-increment) > temp)
list(j) = list(j-increment);
j = j - increment;
end
list(j) = temp;
end %for
if increment == 2 %This case causes shell sort to become insertion sort
increment = 1;
else
increment = round(increment/2.2);
end
end %while
end %shellSort
Sample Usage:
>> shellSort([4 3 1 5 6 2])
ans =
1 2 3 4 5 6
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 = shellSort(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 shellSort(a = String[]) public constant binary returns String[]
n = a.length
inc = int Math.round(double n / 2.0)
loop label inc while inc > 0
loop i_ = inc to n - 1
temp = a[i_]
j_ = i_
loop label j_ while j_ >= inc
if \(a[j_ - inc].compareTo(temp) > 0) then leave j_
a[j_] = a[j_ - inc]
j_ = j_ - inc
end j_
a[j_] = temp
end i_
inc = int Math.round(double inc / 2.2)
end inc
return a
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 shellSort[T](a: var openarray[T]) =
var h = a.len
while h > 0:
h = h div 2
for i in h ..< a.len:
let k = a[i]
var j = i
while j >= h and k < a[j-h]:
a[j] = a[j-h]
j -= h
a[j] = k
var a = @[4, 65, 2, -31, 0, 99, 2, 83, 782]
shellSort a
echo a
Objeck
bundle Default {
class ShellSort {
function : Main(args : String[]) ~ Nil {
a := [1, 3, 7, 21, 48, 112,336, 861, 1968, 4592, 13776,33936, 86961, 198768, 463792, 1391376,3402672, 8382192, 21479367, 49095696, 114556624,343669872, 52913488, 2085837936];
Shell(a);
each(i : a) {
IO.Console->Print(a[i])->Print(", ");
};
IO.Console->PrintLine();
}
function : native : Shell(a : Int[]) ~ Nil {
increment := a->Size() / 2;
while(increment > 0) {
for(i := increment; i < a->Size(); i += 1;) {
j := i;
temp := a[i];
while(j >= increment & a[j - increment] > temp) {
a[j] := a[j - increment];
j -= increment;
};
a[j] := temp;
};
if(increment = 2) {
increment := 1;
}
else {
increment *= (5.0 / 11);
};
};
}
}
}OCaml
let shellsort a =
let len = Array.length a in
let incSequence = [| 412771; 165103; 66041; 26417; 10567;
4231; 1693; 673; 269; 107; 43; 17; 7; 3; 1 |] in
Array.iter (fun increment ->
if (increment * 2) <= len then
for i = increment to pred len do
let temp = a.(i) in
let rec loop j =
if j < 0 || a.(j) <= temp then (j)
else begin
a.(j + increment) <- a.(j);
loop (j - increment)
end
in
let j = loop (i - increment) in
a.(j + increment) <- temp;
done;
) incSequence;
;;
and the main:
let () =
let arraysize = 1000 in (* or whatever *)
Random.self_init();
let intArray =
Array.init arraysize (fun _ -> Random.int 4000)
in
shellsort intArray;
Array.iter (Printf.printf " %d") intArray;
print_newline();
;;
ooRexx
/* Rexx */
-- --- Main --------------------------------------------------------------------
call demo
return
exit
-- -----------------------------------------------------------------------------
-- Shell sort implementation
-- -----------------------------------------------------------------------------
::routine shellSort
use arg ra
n = ra~items()
inc = format(n / 2.0,, 0) -- rounding
loop label inc while inc > 0
loop i_ = inc to n - 1
temp = ra~get(i_)
j_ = i_
loop label j_ while j_ >= inc
if \(ra~get(j_ - inc) > temp) then leave j_
ra~set(j_, ra~get(j_ - inc))
j_ = j_ - inc
end j_
ra~set(j_, temp)
end i_
inc = format(inc / 2.2,, 0) -- rounding
end inc
return ra
-- -----------------------------------------------------------------------------
-- Demonstrate the implementation
-- -----------------------------------------------------------------------------
::routine demo
placesList = .nlist~of( -
"UK London", "US New York", "US Boston", "US Washington" -
, "UK Washington", "US Birmingham", "UK Birmingham", "UK Boston" -
)
lists = .array~of( -
placesList -
, shellSort(placesList~copy()) -
)
loop ln = 1 to lists~items()
cl = lists[ln]
loop ct = 0 to cl~items() - 1
say right(ct + 1, 4)':' cl[ct]
end ct
say
end ln
return
-- -----------------------------------------------------------------------------
::routine isTrue
return 1 == 1
-- -----------------------------------------------------------------------------
::routine isFalse
return \isTrue()
-- -----------------------------------------------------------------------------
-- Helper class. Map get and set methods for easier conversion from java.util.List
-- -----------------------------------------------------------------------------
::class NList mixinclass List public
-- Map get() to at()
::method get
use arg ix
return self~at(ix)
-- Map set() to put()
::method set
use arg ix, item
self~put(item, ix)
return
- Output:
1: UK London 2: US New York 3: US Boston 4: US Washington 5: UK Washington 6: US Birmingham 7: UK Birmingham 8: UK Boston 1: UK Birmingham 2: UK Boston 3: UK London 4: UK Washington 5: US Birmingham 6: US Boston 7: US New York 8: US Washington
PARI/GP
shellSort(v)={
my(inc=#v\2);
while(inc,
for(i=inc+1,#v,
my(t=v[i],j=i);
while(j>inc && v[j-inc]>t,
v[j]=v[j-=inc]
);
v[j]=t
);
inc \= 2.2
);
v
};Pascal
Const
MaxN = 100; { number of elements (my example is 100) }
Type
TArray = Array [0..MaxN] of Integer;
Procedure ShellSort ( var A : TArray; N : Integer );
Var
i, j, step, tmp : Integer;
Begin
step:=N div 2; // step:=step shr 1
While step>0 Do Begin
For i:=step to N Do Begin
tmp:=A[i];
j:=i;
While (j>=step) and (A[j-step]>tmp) Do Begin
A[j]:=A[j-step];
dec(j,step);
End;
A[j]:=tmp;
End;
step:=step div 2; // step:=step shr 1
End;
End;
Perl
sub shell_sort {
my (@a, $h, $i, $j, $k) = @_;
for ($h = @a; $h = int $h / 2;) {
for $i ($h .. $#a) {
$k = $a[$i];
for ($j = $i; $j >= $h && $k < $a[$j - $h]; $j -= $h) {
$a[$j] = $a[$j - $h];
}
$a[$j] = $k;
}
}
@a;
}
my @a = map int rand 100, 1 .. $ARGV[0] || 10;
say "@a";
@a = shell_sort @a;
say "@a";
Phix
with javascript_semantics function shell_sort(sequence s) integer gap = floor(length(s)/2), j while gap>0 do for i=gap to length(s) do object si = s[i] j = i-gap while j>=1 and si<=s[j] do s[j+gap] = s[j] j -= gap end while s[j+gap] = si end for gap = floor(gap/2) end while return s end function ?shell_sort(shuffle(tagset(10)))
- Output:
{1,2,3,4,5,6,7,8,9,10}
PHP
function shellSort($arr)
{
$inc = round(count($arr)/2);
while($inc > 0)
{
for($i = $inc; $i < count($arr);$i++){
$temp = $arr[$i];
$j = $i;
while($j >= $inc && $arr[$j-$inc] > $temp)
{
$arr[$j] = $arr[$j - $inc];
$j -= $inc;
}
$arr[$j] = $temp;
}
$inc = round($inc/2.2);
}
return $arr;
}
Picat
Using the algorithm from the Wikipedia page, inline sort.
go =>
A = [23, 76, 99, 58, 97, 57, 35, 89, 51, 38, 95, 92, 24, 46, 31, 24, 14, 12, 57, 78],
println(A),
shell_sort(A),
println(A),
nl.
% Inline sort
shell_sort(A) =>
Inc = round(A.length/2),
while (Inc > 0)
foreach(I in Inc+1..A.length)
Temp = A[I],
J := I,
while (J > Inc, A[J-Inc] > Temp)
A[J] := A[J-Inc],
J := J - Inc
end,
A[J] := Temp
end,
Inc := round(Inc/2.2)
end.- Output:
[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]
PicoLisp
(de shellSort (A)
(for (Inc (*/ (length A) 2) (gt0 Inc) (*/ Inc 10 22))
(for (I Inc (get A I) (inc I))
(let (Tmp @ J I)
(while (and (>= J Inc) (> (get A (- J Inc)) Tmp))
(set (nth A J) (get A (- J Inc)))
(dec 'J Inc) )
(set (nth A J) Tmp) ) ) )
A )- Output:
: (shellSort (make (do 9 (link (rand 1 999))))) -> (1 167 183 282 524 556 638 891 902) : (shellSort (make (do 9 (link (rand 1 999))))) -> (82 120 160 168 205 226 408 708 719) : (shellSort (make (do 9 (link (rand 1 999))))) -> (108 212 330 471 667 716 739 769 938)
PL/I
/* Based on Rosetta Fortran */
Shell_Sort: PROCEDURE (A);
DECLARE A(*) FIXED;
DECLARE ( i, j, increment) FIXED BINARY (31);
DECLARE temp FIXED;
increment = DIMENSION(a) / 2;
DO WHILE (increment > 0);
DO i = lbound(A,1)+increment TO hbound(a,1);
j = i;
temp = a(i);
DO WHILE (j >= increment+1 & a(j-increment) > temp);
a(j) = a(j-increment);
j = j - increment;
END;
a(j) = temp;
END;
IF increment = 2 THEN
increment = 1;
ELSE
increment = increment * 5 / 11;
END;
END SHELL_SORT;PowerShell
Function ShellSort( [Array] $data )
{
# http://oeis.org/A108870
$A108870 = [Int64[]] ( 1, 4, 9, 20, 46, 103, 233, 525, 1182, 2660, 5985, 13467, 30301, 68178, 153401, 345152, 776591, 1747331, 3931496, 8845866, 19903198, 44782196, 100759940, 226709866, 510097200, 1147718700, 2582367076, 5810325920, 13073233321, 29414774973 )
$datal = $data.length - 1
$inci = [Array]::BinarySearch( $A108870, [Int64] ( [Math]::Floor( $datal / 2 ) ) )
if( $inci -lt 0 )
{
$inci = ( $inci -bxor -1 ) - 1
}
$A108870[ $inci..0 ] | ForEach-Object {
$inc = $_
$_..$datal | ForEach-Object {
$temp = $data[ $_ ]
$j = $_
for( ; ( $j -ge $inc ) -and ( $data[ $j - $inc ] -gt $temp ); $j -= $inc )
{
$data[ $j ] = $data[ $j - $inc ]
}
$data[ $j ] = $temp
}
}
$data
}
$l = 10000; ShellSort( ( 1..$l | ForEach-Object { $Rand = New-Object Random }{ $Rand.Next( 0, $l - 1 ) } ) )
PureBasic
#STEP=2.2
Procedure Shell_sort(Array A(1))
Protected l=ArraySize(A()), increment=Int(l/#STEP)
Protected i, j, temp
While increment
For i= increment To l
j=i
temp=A(i)
While j>=increment And A(j-increment)>temp
A(j)=A(j-increment)
j-increment
Wend
A(j)=temp
Next i
If increment=2
increment=1
Else
increment*(5.0/11)
EndIf
Wend
EndProcedure
Python
This method sorts in place. If you want to preserve your unsorted list, copy it first.
def shell(seq):
inc = len(seq) // 2
while inc:
for i, el in enumerate(seq[inc:], inc):
while i >= inc and seq[i - inc] > el:
seq[i] = seq[i - inc]
i -= inc
seq[i] = el
inc = 1 if inc == 2 else inc * 5 // 11
- Output:
>>> data = [22, 7, 2, -5, 8, 4] >>> shell(data) >>> print(data) [-5, 2, 4, 7, 8, 22]
Racket
#lang racket
(define (shell-sort! xs)
(define ref (curry vector-ref xs))
(define (new Δ) (if (= Δ 2) 1 (quotient (* Δ 5) 11)))
(let loop ([Δ (quotient (vector-length xs) 2)])
(unless (= Δ 0)
(for ([xᵢ (in-vector xs)] [i (in-naturals)])
(let while ([i i])
(cond [(and (>= i Δ) (> (ref (- i Δ)) xᵢ))
(vector-set! xs i (ref (- i Δ)))
(while (- i Δ))]
[else (vector-set! xs i xᵢ)])))
(loop (new Δ))))
xs)
Raku
(formerly Perl 6)
sub shell_sort ( @a is copy ) {
loop ( my $gap = (@a/2).round; $gap > 0; $gap = ( $gap * 5 / 11 ).round ) {
for $gap .. @a.end -> $i {
my $temp = @a[$i];
my $j;
loop ( $j = $i; $j >= $gap; $j -= $gap ) {
my $v = @a[$j - $gap];
last if $v <= $temp;
@a[$j] = $v;
}
@a[$j] = $temp;
}
}
return @a;
}
my @data = 22, 7, 2, -5, 8, 4;
say 'input = ' ~ @data;
say 'output = ' ~ @data.&shell_sort;
- Output:
input = 22 7 2 -5 8 4 output = -5 2 4 7 8 22
REXX
Historical data note: the three-character abbreviations were (and probably still are) the
official three-character abbreviations for the states of the USA before the advent of ZIP codes.
ZIP = Zone Improvement Plan. Now-a-days, the USA uses two-character abbreviations.
/*REXX program sorts a stemmed array using the shell sort (shellsort) algorithm. */
call gen /*generate the array elements. */
call show 'before sort' /*display the before array elements. */
say copies('▒', 75) /*displat a separator line (a fence). */
call shellSort # /*invoke the shell sort. */
call show ' after sort' /*display the after array elements. */
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
gen: @.= /*assign a default value to stem array.*/
@.1= '3 character abbreviations for states of the USA' /*predates ZIP code.*/
@.2= '==============================================='
@.3= 'RHO Rhode Island and Providence Plantations' ; @.36= 'NMX New Mexico'
@.4= 'CAL California' ; @.20= "NEV Nevada" ; @.37= 'IND Indiana'
@.5= 'KAN Kansas' ; @.21= "TEX Texas" ; @.38= 'MOE Missouri'
@.6= 'MAS Massachusetts' ; @.22= "VGI Virginia" ; @.39= 'COL Colorado'
@.7= 'WAS Washington' ; @.23= "OHI Ohio" ; @.40= 'CON Connecticut'
@.8= 'HAW Hawaii' ; @.24= "NHM New Hampshire"; @.41= 'MON Montana'
@.9= 'NCR North Carolina'; @.25= "MAE Maine" ; @.42= 'LOU Louisiana'
@.10= 'SCR South Carolina'; @.26= "MIC Michigan" ; @.43= 'IOW Iowa'
@.11= 'IDA Idaho' ; @.27= "MIN Minnesota" ; @.44= 'ORE Oregon'
@.12= 'NDK North Dakota' ; @.28= "MIS Mississippi" ; @.45= 'ARK Arkansas'
@.13= 'SDK South Dakota' ; @.29= "WIS Wisconsin" ; @.46= 'ARZ Arizona'
@.14= 'NEB Nebraska' ; @.30= "OKA Oklahoma" ; @.47= 'UTH Utah'
@.15= 'DEL Delaware' ; @.31= "ALA Alabama" ; @.48= 'KTY Kentucky'
@.16= 'PEN Pennsylvania' ; @.32= "FLA Florida" ; @.49= 'WVG West Virginia'
@.17= 'TEN Tennessee' ; @.33= "MLD Maryland" ; @.50= 'NWJ New Jersey'
@.18= 'GEO Georgia' ; @.34= "ALK Alaska" ; @.51= 'NYK New York'
@.19= 'VER Vermont' ; @.35= "ILL Illinois" ; @.52= 'WYO Wyoming'
do #=1 until @.#==''; end; #= #-1 /*determine number of entries in array.*/
return
/*──────────────────────────────────────────────────────────────────────────────────────*/
shellSort: procedure expose @.; parse arg n /*obtain the n from the argument list*/
i= n % 2 /*% is integer division in REXX. */
do while i\==0
do j=i+1 to n; k= j; p= k - i /*P: previous item*/
_= @.j
do while k>=i+1 & @.p>_; @.k= @.p; k= k-i; p= k-i
end /*while*/
@.k= _
end /*j*/
if i==2 then i= 1
else i= i * 5 % 11
end /*while*/
return
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: do j=1 for #; say 'element' right(j, length(#) ) arg(1)": " @.j; end; return
- output when using the (internal) inputs:
element 1 before sort: 3 character abbreviations for states of the USA element 2 before sort: =============================================== element 3 before sort: RHO Rhode Island and Providence Plantations element 4 before sort: CAL California element 5 before sort: KAN Kansas element 6 before sort: MAS Massachusetts element 7 before sort: WAS Washington element 8 before sort: HAW Hawaii element 9 before sort: NCR North Carolina element 10 before sort: SCR South Carolina element 11 before sort: IDA Idaho element 12 before sort: NDK North Dakota element 13 before sort: SDK South Dakota element 14 before sort: NEB Nebraska element 15 before sort: DEL Delaware element 16 before sort: PEN Pennsylvania element 17 before sort: TEN Tennessee element 18 before sort: GEO Georgia element 19 before sort: VER Vermont element 20 before sort: NEV Nevada element 21 before sort: TEX Texas element 22 before sort: VGI Virginia element 23 before sort: OHI Ohio element 24 before sort: NHM New Hampshire element 25 before sort: MAE Maine element 26 before sort: MIC Michigan element 27 before sort: MIN Minnesota element 28 before sort: MIS Mississippi element 29 before sort: WIS Wisconsin element 30 before sort: OKA Oklahoma element 31 before sort: ALA Alabama element 32 before sort: FLA Florida element 33 before sort: MLD Maryland element 34 before sort: ALK Alaska element 35 before sort: ILL Illinois element 36 before sort: NMX New Mexico element 37 before sort: IND Indiana element 38 before sort: MOE Missouri element 39 before sort: COL Colorado element 40 before sort: CON Connecticut element 41 before sort: MON Montana element 42 before sort: LOU Louisiana element 43 before sort: IOW Iowa element 44 before sort: ORE Oregon element 45 before sort: ARK Arkansas element 46 before sort: ARZ Arizona element 47 before sort: UTH Utah element 48 before sort: KTY Kentucky element 49 before sort: WVG West Virginia element 50 before sort: NWJ New Jersey element 51 before sort: NYK New York element 52 before sort: WYO Wyoming ▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒ element 1 after sort: 3 character abbreviations for states of the USA element 2 after sort: =============================================== element 3 after sort: ALA Alabama element 4 after sort: ALK Alaska element 5 after sort: ARK Arkansas element 6 after sort: ARZ Arizona element 7 after sort: CAL California element 8 after sort: COL Colorado element 9 after sort: CON Connecticut element 10 after sort: DEL Delaware element 11 after sort: FLA Florida element 12 after sort: GEO Georgia element 13 after sort: HAW Hawaii element 14 after sort: IDA Idaho element 15 after sort: ILL Illinois element 16 after sort: IND Indiana element 17 after sort: IOW Iowa element 18 after sort: KAN Kansas element 19 after sort: KTY Kentucky element 20 after sort: LOU Louisiana element 21 after sort: MAE Maine element 22 after sort: MAS Massachusetts element 23 after sort: MIC Michigan element 24 after sort: MIN Minnesota element 25 after sort: MIS Mississippi element 26 after sort: MLD Maryland element 27 after sort: MOE Missouri element 28 after sort: MON Montana element 29 after sort: NCR North Carolina element 30 after sort: NDK North Dakota element 31 after sort: NEB Nebraska element 32 after sort: NEV Nevada element 33 after sort: NHM New Hampshire element 34 after sort: NMX New Mexico element 35 after sort: NWJ New Jersey element 36 after sort: NYK New York element 37 after sort: OHI Ohio element 38 after sort: OKA Oklahoma element 39 after sort: ORE Oregon element 40 after sort: PEN Pennsylvania element 41 after sort: RHO Rhode Island and Providence Plantations element 42 after sort: SCR South Carolina element 43 after sort: SDK South Dakota element 44 after sort: TEN Tennessee element 45 after sort: TEX Texas element 46 after sort: UTH Utah element 47 after sort: VER Vermont element 48 after sort: VGI Virginia element 49 after sort: WAS Washington element 50 after sort: WIS Wisconsin element 51 after sort: WVG West Virginia element 52 after sort: WYO Wyoming ───────────────────────────────────────────────────────────────────────────────
Ring
aList = [-12, 3, 0, 4, 7, 4, 8, -5, 9]
shellSort(aList)
for i=1 to len(aList)
see "" + aList[i] + " "
next
func shellSort a
inc = ceil( len(a) / 2 )
while inc > 0
for i = inc to len(a)
tmp = a[i]
j = i
while j > inc and a[j-inc] > tmp
a[j] = a[j-inc]
j = j - inc
end
a[j] = tmp
next
inc = floor( 0.5 + inc / 2.2 )
end
return aRuby
This method sorts in place. If you want to preserve your unsorted list, copy it first.
class Array
def shellsort!
inc = length / 2
while inc != 0
inc.step(length-1) do |i|
el = self[i]
while i >= inc and self[i - inc] > el
self[i] = self[i - inc]
i -= inc
end
self[i] = el
end
inc = (inc == 2 ? 1 : (inc * 5.0 / 11).to_i)
end
self
end
end
data = [22, 7, 2, -5, 8, 4]
data.shellsort!
p data # [-5, 2, 4, 7, 8, 22]
Run BASIC
siz = 100
dim a(siz)
for i = 1 to siz
a(i) = rnd(1) * 1000
next i
' -------------------------------
' Shell Sort
' -------------------------------
incr = int(siz / 2)
WHILE incr > 0
for i = 1 to siz
j = i
temp = a(i)
WHILE (j >= incr and a(abs(j-incr)) > temp)
a(j) = a(j-incr)
j = j - incr
WEND
a(j) = temp
next i
incr = int(incr / 2.2)
WENDRust
fn shell_sort<T: Ord + Copy>(v: &mut [T]) {
let mut gap = v.len() / 2;
let len = v.len();
while gap > 0 {
for i in gap..len {
let temp = v[i];
let mut j = i;
while j >= gap && v[j - gap] > temp {
v[j] = v[j - gap];
j -= gap;
}
v[j] = temp;
}
gap /= 2;
}
}
fn main() {
let mut numbers = [4i32, 65, 2, -31, 0, 99, 2, 83, 782, 1];
println!("Before: {:?}", numbers);
shell_sort(&mut numbers);
println!("After: {:?}", numbers);
}
- Output:
Before: [4, 65, 2, -31, 0, 99, 2, 83, 782, 1] After: [-31, 0, 1, 2, 2, 4, 65, 83, 99, 782]
Scala
object ShellSort {
def incSeq(len:Int)=new Iterator[Int]{
private[this] var x:Int=len/2
def hasNext=x>0
def next()={x=if (x==2) 1 else x*5/11; x}
}
def InsertionSort(a:Array[Int], inc:Int)={
for (i <- inc until a.length; temp=a(i)){
var j=i;
while (j>=inc && a(j-inc)>temp){
a(j)=a(j-inc)
j=j-inc
}
a(j)=temp
}
}
def shellSort(a:Array[Int])=for(inc<-incSeq(a.length)) InsertionSort(a, inc)
def main(args: Array[String]): Unit = {
var a=Array(2, 5, 3, 4, 3, 9, 3, 2, 5, 4, 1, 3, 22, 7, 2, -5, 8, 4)
println(a.mkString(","))
shellSort(a)
println(a.mkString(","))
}
}
- Output:
2,5,3,4,3,9,3,2,5,4,1,3,22,7,2,-5,8,4 -5,1,2,2,2,3,3,3,3,4,4,4,5,5,7,8,9,22
Seed7
const proc: shellSort (inout array elemType: arr) is func
local
var integer: i is 0;
var integer: j is 0;
var integer: increment is 0;
var elemType: help is elemType.value;
begin
increment := length(arr) div 2;
while increment > 0 do
for i range 1 to length(arr) do
j := i;
help := arr[i];
while j > increment and arr[j - increment] > help do
arr[j] := arr[j - increment];
j -:= increment;
end while;
arr[j] := help;
end for;
increment := increment div 2;
end while;
end func;Original source: [3]
Sidef
func shell_sort(a) {
var h = a.len;
while (h >>= 1) {
for i in (h .. a.end) {
var k = a[i];
for (var j = i; (j >= h) && (k < a[j - h]); j -= h) {
a[j] = a[j - h];
}
a[j] = k;
}
}
return a;
}
var a = 10.of {100.irand};
say a;
shell_sort(a);
say a;
- Output:
[54, 67, 65, 8, 56, 83, 64, 42, 20, 17] [8, 17, 20, 42, 54, 56, 64, 65, 67, 83]
Swift
func shellsort<T where T : Comparable>(inout seq: [T]) {
var inc = seq.count / 2
while inc > 0 {
for (var i, el) in EnumerateSequence(seq) {
while i >= inc && seq[i - inc] > el {
seq[i] = seq[i - inc]
i -= inc
}
seq[i] = el
}
if inc == 2 {
inc = 1
} else {
inc = inc * 5 / 11
}
}
}
- Input:
var data = [22, 7, 2, -5, 8, 4]
- Output:
shellsort(&data) // [-5, 2, 4, 7, 8, 22]
Tcl
package require Tcl 8.5
proc shellsort {m} {
set len [llength $m]
set inc [expr {$len / 2}]
while {$inc > 0} {
for {set i $inc} {$i < $len} {incr i} {
set j $i
set temp [lindex $m $i]
while {$j >= $inc && [set val [lindex $m [expr {$j - $inc}]]] > $temp} {
lset m $j $val
incr j -$inc
}
lset m $j $temp
}
set inc [expr {$inc == 2 ? 1 : $inc * 5 / 11}]
}
return $m
}
puts [shellsort {8 6 4 2 1 3 5 7 9}] ;# => 1 2 3 4 5 6 7 8 9
uBasic/4tH
PRINT "Shell sort:"
n = FUNC (_InitArray)
PROC _ShowArray (n)
PROC _Shellsort (n)
PROC _ShowArray (n)
PRINT
END
_Shellsort PARAM (1) ' Shellsort subroutine
LOCAL (4)
b@ = a@
DO WHILE b@
b@ = b@ / 2
FOR c@ = b@ TO a@ - 1
e@ = @(c@)
d@ = c@
DO WHILE (d@ > b@-1) * (e@ < @(ABS(d@ - b@)))
@(d@) = @(d@ - b@)
d@ = d@ - b@
LOOP
@(d@) = e@
NEXT
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
Visual Basic
Sub arrShellSort(ByVal arrData As Variant)
Dim lngHold, lngGap As Long
Dim lngCount, lngMin, lngMax As Long
Dim varItem As Variant
'
lngMin = LBound(arrData)
lngMax = UBound(arrData)
lngGap = lngMin
Do While (lngGap < lngMax)
lngGap = 3 * lngGap + 1
Loop
Do While (lngGap > 1)
lngGap = lngGap \ 3
For lngCount = lngGap + lngMin To lngMax
varItem = arrData(lngCount)
lngHold = lngCount
Do While ((arrData(lngHold - lngGap) > varItem))
arrData(lngHold) = arrData(lngHold - lngGap)
lngHold = lngHold - lngGap
If (lngHold < lngMin + lngGap) Then Exit Do
Loop
arrData(lngHold) = varItem
Next
Loop
arrShellSort = arrData
End Sub'
V (Vlang)
fn shell(mut arr []int, n int) {
mut j := 0
for h := n; h /= 2; {
for i := h; i < n; i++ {
t := arr[i]
for j = i; j >= h && t < arr[j - h]; j -= h {
arr[j] = arr[j - h]
}
arr[j] = t
}
}
}
fn main() {
mut arr := [4, 65, 2, -31, 0, 99, 2, 83, 782, 1]
n := arr.len
println('Input: ' + arr.str())
shell(mut arr, n)
println('Output: ' + arr.str())
}- Output:
Input: [4, 65, 2, -31, 0, 99, 2, 83, 782, 1] Output: [-31, 0, 1, 2, 2, 4, 65, 83, 99, 782]
Whitespace
Wren
Based on the Wikipedia article pseudo-code.
var shellSort = Fn.new { |a|
var n = a.count
var gaps = [701, 301, 132, 57, 23, 10, 4, 1]
for (gap in gaps) {
if (gap < n) {
for (i in gap...n) {
var t = a[i]
var j = i
while (j >= gap && a[j-gap] > t) {
a[j] = a[j - gap]
j = j - gap
}
a[j] = t
}
}
}
}
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)")
shellSort.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]
Alternatively we can just call a library method.
import "./sort" for Sort
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)")
Sort.shell(a)
System.print("After : %(a)")
System.print()
}
- Output:
As above.
XPL0
include c:\cxpl\codes; \intrinsic 'code' declarations
string 0; \use zero-terminated strings
proc SSort(A, N); \Shell sort array in ascending order
char A; \address of array
int N; \number of elements in array (size)
int I, J, Gap, JG, T;
[Gap:= N>>1;
while Gap > 0 do
[for I:= Gap to N-1 do
[J:= I - Gap;
loop [JG:= J + Gap;
if A(J) <= A(JG) then quit;
T:= A(J); A(J):= A(JG); A(JG):= T; \swap elements
J:= J - Gap;
if J < 0 then quit;
];
];
Gap:= Gap>>1;
];
]; \SSort
func StrLen(Str); \Return number of characters in an ASCIIZ string
char Str;
int I;
for I:= 0 to -1>>1-1 do
if Str(I) = 0 then return I;
char Str;
[Str:= "Pack my box with five dozen liquor jugs.";
SSort(Str, StrLen(Str));
Text(0, Str); CrLf(0);
]- Output:
" .Pabcdeefghiiijklmnoooqrstuuvwxyz"
Yabasic
export sub shell_sort(x())
// Shell sort based on insertion sort
local gap, i, j, first, last, tempi, tempj
last = arraysize(x(),1)
gap = int(last / 10) + 1
while(TRUE)
first = gap + 1
for i = first to last
tempi = x(i)
j = i - gap
while(TRUE)
tempj = x(j)
if tempi >= tempj then
j = j + gap
break
end if
x(j+gap) = tempj
if j <= gap then
break
end if
j = j - gap
wend
x(j) = tempi
next i
if gap = 1 then
return
else
gap = int(gap / 3.5) + 1
end if
wend
end sub
if peek$("library") = "main" then
clear screen
ITEMS = 100
dim numeros(ITEMS)
for n = 1 to ITEMS
numeros(n) = ran(ITEMS + 1)
next n
print time$
shell_sort(numeros())
print time$
print "Press a key to see ordered numbers."
inkey$
for n = 1 to ITEMS
print numeros(n),", ";
next n
end ifzkl
// Shell sort a sequence of objects in place
// Requires mutiable list
fcn shellSort(sequence){
n := sequence.len();
gap := n / 2;
while (0 < gap){
i := gap;
while (i < n){
j := i - gap;
while ((j >= 0) and (sequence[j] > sequence[j + gap])){
sequence.swap(j,j + gap);
j -= gap;
}
i += 1;
}
gap /= 2;
}
return(sequence);
}Categories:
- Programming Tasks
- Sorting Algorithms
- Sorting
- 11l
- 360 Assembly
- AArch64 Assembly
- Action!
- ActionScript
- Ada
- ALGOL 68
- AppleScript
- ARM Assembly
- Arturo
- ATS
- AutoHotkey
- AWK
- BBC BASIC
- BCPL
- C
- C sharp
- C++
- COBOL
- Common Lisp
- D
- Dart
- Delphi
- E
- EasyLang
- Eiffel
- Elixir
- Euphoria
- Forth
- Fortran
- FreeBASIC
- Go
- Haskell
- Haxe
- Icon
- Unicon
- Io
- IS-BASIC
- J
- Java
- JavaScript
- Jq
- Julia
- Kotlin
- Liberty BASIC
- Lisaac
- Lua
- M2000 Interpreter
- Maple
- Mathematica
- Wolfram Language
- MATLAB
- Octave
- NetRexx
- Nim
- Objeck
- OCaml
- OoRexx
- PARI/GP
- Pascal
- Perl
- Phix
- PHP
- Picat
- PicoLisp
- PL/I
- PowerShell
- PureBasic
- Python
- Racket
- Raku
- REXX
- Ring
- Ruby
- Run BASIC
- Rust
- Scala
- Seed7
- Sidef
- Swift
- Tcl
- UBasic/4tH
- Visual Basic
- V (Vlang)
- Whitespace
- Wren
- Wren-sort
- XPL0
- Yabasic
- Zkl
- GUISS/Omit