task_url
stringlengths 30
116
| task_name
stringlengths 2
86
| task_description
stringlengths 0
14.4k
| language_url
stringlengths 2
53
| language_name
stringlengths 1
52
| code
stringlengths 0
61.9k
|
|---|---|---|---|---|---|
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #C.2B.2B | C++ | g++ -std=c++11 bogo.cpp
|
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program gnomeSort.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
ldr r0,iAdrTableNumber @ address number table
mov r1,#0 @ first element
mov r2,#NBELEMENTS @ number of élements
bl gnomeSort
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 1f
ldr r0,iAdrszMessSortNok @ no !! error sort
bl affichageMess
b 100f
1: @ 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
/******************************************************************/
/* gnome Sort */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the first element */
/* r2 contains the number of element */
gnomeSort:
push {r1-r9,lr} @ save registers
sub r2,r2,#1 @ compute end index = n - 1
add r3,r1,#1 @ index i
add r7,r1,#2 @ j
1: @ start loop 1
cmp r3,r2
bgt 100f
sub r4,r3,#1
ldr r5,[r0,r3,lsl #2] @ load value A[j]
ldr r6,[r0,r4,lsl #2] @ load value A[j-1]
cmp r5,r6 @ compare value
bge 2f
str r6,[r0,r3,lsl #2] @ if smaller inversion
str r5,[r0,r4,lsl #2]
sub r3,r3,#1 @ i = i - 1
cmp r3,r1
moveq r3,r7 @ if i = 0 i = j
addeq r7,r7,#1 @ if i = 0 j = j+1
b 1b @ loop 1
2:
mov r3,r7 @ i = j
add r7,r7,#1 @ j = j + 1
b 1b @ 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
mov r0,r2
100:
pop {r0-r3,lr}
bx lr
iAdrsZoneConv: .int sZoneConv
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program countSort.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"
.include "../../ficmacros.s"
/*********************************/
/* Initialized data */
/*********************************/
.data
szMessSortOk: .asciz "Table sorted.\n"
szMessSortNok: .asciz "Table not sorted !!!!!.\n"
sMessResult: .asciz "Value : @ \n"
szCarriageReturn: .asciz "\n"
.align 4
#Caution : number stritcly positive and not too big
#TableNumber: .int 1,3,6,2,5,9,10,8,5,7 @ for test 2 sames values
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
ldr r0,iAdrTableNumber @ address number table
mov r1,#NBELEMENTS @ number of élements
bl searchMinMax @ r1=min r2=max
mov r3,#NBELEMENTS @ number of élements
bl countSort
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 éléments number */
/* r0 return address r1 return min r2 return max */
searchMinMax:
push {r3-r5,lr} @ save registers
mov r3,r1 @ save size
mov r1,#1<<30 @ min
mov r2,#0 @ max
mov r4,#0 @ index
1:
ldr r5,[r0,r4, lsl #2] @ load value
cmp r5,r1 @ if < min
movlt r1,r5
cmp r5,r2 @ if > max
movgt r2,r5
add r4,r4,#1 @ increment index
cmp r4,r3 @ end ?
blt 1b @ no -> loop
100:
pop {r3-r5,lr}
bx lr @ return
/******************************************************************/
/* 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
/******************************************************************/
/* count Sort */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the minimum */
/* r2 contains the maximun */
/* r3 contains elements number */
/* caution : the count area is in the stack. if max is very large, risk of error */
countSort:
push {r1-r9,lr} @ save registers
sub r3,r3,#1 @ compute end index
sub r5,r2,r1 @ compute max - min
add r5,r5,#1 @ + 1
lsl r9,r5,#2 @ 4 bytes by number
sub sp,sp,r9 @ reserve area on stack
mov fp,sp @ frame pointer = stack address
mov r6,#0
mov r4,#0
1: @ loop init stack area
str r6,[fp,r4, lsl #2]
add r4,r4,#1
cmp r4,r5
blt 1b
mov r4,#0 @ indice
2: @ start loop 2
ldr r5,[r0,r4,lsl #2] @ load value A[j]
sub r5,r5,r1 @ - min
ldr r6,[fp,r5,lsl #2] @ load count of value
add r6,r6,#1 @ increment counter
str r6,[fp,r5,lsl #2] @ and store
add r4,#1 @ increment indice
cmp r4,r3 @ end ?
ble 2b @ no -> loop 2
mov r7,#0 @ z
mov r4,r1 @ indice = min
//bl displayTable
3: @ loop 3
sub r6,r4,r1 @ compute index - min
ldr r5,[fp,r6,lsl #2] @ load count
4: @ loop 4
cmp r5,#0 @ cont <> zero
beq 5f
str r4,[r0,r7,lsl #2] @ store value
add r7,r7,#1 @ increment z
sub r5,r5,#1 @ decrement count
b 4b
5:
add r4,r4,#1 @ decrement indice
cmp r4,r2 @ max ?
ble 3b @ no -> loop 3
add sp,sp,r9 @ stack alignement
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
mov r0,r2
100:
pop {r0-r3,lr}
bx lr
iAdrsZoneConv: .int sZoneConv
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Forth | Forth | 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 |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Clojure | Clojure | (defn in-order? [order xs]
(or (empty? xs)
(apply order xs)))
(defn bogosort [order xs]
(if (in-order? order xs) xs
(recur order (shuffle xs))))
(println (bogosort < [7 5 12 1 4 2 23 18])) |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Arturo | Arturo | gnomeSort: function [items][
i: 1
j: 2
arr: new items
while [i < size arr][
if? arr\[i-1] =< arr\[i] [
i: j
j: j + 1
]
else [
tmp: arr\[i]
arr\[i]: arr\[i-1]
arr\[i-1]: tmp
i: i-1
if i=0 [
i: j
j: j + 1
]
]
]
return arr
]
print gnomeSort [3 1 2 8 5 7 9 4 6] |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Arturo | Arturo | countingSort: function [items, minimum, maximum][
a: new items
rng: inc maximum - minimum
cnt: array.of: rng 0
z: 0
loop 0..dec size a 'i [
mm: a\[i]-minimum
cnt\[mm]: cnt\[mm] + 1
]
loop minimum..maximum 'i [
loop 0..dec cnt\[i-minimum] 'j [
a\[z]: i
z: z + 1
]
]
return a
]
print countingSort [3 1 2 8 5 7 9 4 6] 1 9 |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Fortran | 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 |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #COBOL | COBOL | identification division.
program-id. bogo-sort-program.
data division.
working-storage section.
01 array-to-sort.
05 item-table.
10 item pic 999
occurs 10 times.
01 randomization.
05 random-seed pic 9(8).
05 random-index pic 9.
01 flags-counters-etc.
05 array-index pic 99.
05 adjusted-index pic 99.
05 temporary-storage pic 999.
05 shuffles pic 9(8)
value zero.
05 sorted pic 9.
01 numbers-without-leading-zeros.
05 item-no-zeros pic z(4).
05 shuffles-no-zeros pic z(8).
procedure division.
control-paragraph.
accept random-seed from time.
move function random(random-seed) to item(1).
perform random-item-paragraph varying array-index from 2 by 1
until array-index is greater than 10.
display 'BEFORE SORT:' with no advancing.
perform show-array-paragraph varying array-index from 1 by 1
until array-index is greater than 10.
display ''.
perform shuffle-paragraph through is-it-sorted-paragraph
until sorted is equal to 1.
display 'AFTER SORT: ' with no advancing.
perform show-array-paragraph varying array-index from 1 by 1
until array-index is greater than 10.
display ''.
move shuffles to shuffles-no-zeros.
display shuffles-no-zeros ' SHUFFLES PERFORMED.'
stop run.
random-item-paragraph.
move function random to item(array-index).
show-array-paragraph.
move item(array-index) to item-no-zeros.
display item-no-zeros with no advancing.
shuffle-paragraph.
perform shuffle-items-paragraph,
varying array-index from 1 by 1
until array-index is greater than 10.
add 1 to shuffles.
is-it-sorted-paragraph.
move 1 to sorted.
perform item-in-order-paragraph varying array-index from 1 by 1,
until sorted is equal to zero
or array-index is equal to 10.
shuffle-items-paragraph.
move function random to random-index.
add 1 to random-index giving adjusted-index.
move item(array-index) to temporary-storage.
move item(adjusted-index) to item(array-index).
move temporary-storage to item(adjusted-index).
item-in-order-paragraph.
add 1 to array-index giving adjusted-index.
if item(array-index) is greater than item(adjusted-index)
then move zero to sorted. |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #AutoHotkey | AutoHotkey | MsgBox % GnomeSort("")
MsgBox % GnomeSort("xxx")
MsgBox % GnomeSort("3,2,1")
MsgBox % GnomeSort("dog,000000,xx,cat,pile,abcde,1,cat,zz,xx,z")
GnomeSort(var) { ; SORT COMMA SEPARATED LIST
StringSplit a, var, `, ; make array, size = a0
i := 2, j := 3
While i <= a0 { ; stop when sorted
u := i-1
If (a%u% < a%i%) ; search for pairs to swap
i := j, j := j+1
Else { ; swap
t := a%u%, a%u% := a%i%, a%i% := t
If (--i = 1) ; restart search
i := j, j++
}
}
Loop % a0 ; construct string from sorted array
sorted .= "," . a%A_Index%
Return SubStr(sorted,2) ; drop leading comma
} |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #11l | 11l | F cocktailSort(&A)
L
L(indices) ((0 .< A.len-1).step(1), (A.len-2 .. 0).step(-1))
V swapped = 0B
L(i) indices
I A[i] > A[i + 1]
swap(&A[i], &A[i + 1])
swapped = 1B
I !swapped
R
V test1 = [7, 6, 5, 9, 8, 4, 3, 1, 2, 0]
cocktailSort(&test1)
print(test1) |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #AutoHotkey | AutoHotkey | MsgBox % CountingSort("-1,1,1,0,-1",-1,1)
CountingSort(ints,min,max) {
Loop % max-min+1
i := A_Index-1, a%i% := 0
Loop Parse, ints, `, %A_Space%%A_Tab%
i := A_LoopField-min, a%i%++
Loop % max-min+1 {
i := A_Index-1, v := i+min
Loop % a%i%
t .= "," v
}
Return SubStr(t,2)
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #FreeBASIC | 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 |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Common_Lisp | Common Lisp | (defun nshuffle (sequence)
(loop for i from (length sequence) downto 2
do (rotatef (elt sequence (random i))
(elt sequence (1- i ))))
sequence)
(defun sortedp (list predicate)
(every predicate list (rest list)))
(defun bogosort (list predicate)
(do ((list list (nshuffle list)))
((sortedp list predicate) list))) |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #AWK | AWK | #!/usr/bin/awk -f
BEGIN {
d[1] = 3.0
d[2] = 4.0
d[3] = 1.0
d[4] = -8.4
d[5] = 7.2
d[6] = 4.0
d[7] = 1.0
d[8] = 1.2
showD("Before: ")
gnomeSortD()
showD("Sorted: ")
exit
}
function gnomeSortD( i) {
for (i = 2; i <= length(d); i++) {
if (d[i] < d[i-1]) gnomeSortBackD(i)
}
}
function gnomeSortBackD(i, t) {
for (; i > 1 && d[i] < d[i-1]; i--) {
t = d[i]
d[i] = d[i-1]
d[i-1] = t
}
}
function showD(p, i) {
printf p
for (i = 1; i <= length(d); i++) {
printf d[i] " "
}
print ""
}
|
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #360_Assembly | 360 Assembly | * Cocktail sort 25/06/2016
COCKTSRT CSECT
USING COCKTSRT,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,NM1 nm1=n-1
DO UNTIL=(CLI,STABLE,EQ,X'01') repeat
MVI STABLE,X'01' stable=true
LA RI,1 i=1
DO WHILE=(C,RI,LE,NM1) do i=1 to n-1
LR R1,RI i
SLA R1,2 .
LA R2,A-4(R1) @a(i)
LA R3,A(R1) @a(i+1)
L R4,0(R2) r4=a(i)
L R5,0(R3) r5=a(i+1)
IF CR,R4,GT,R5 THEN if a(i)>a(i+1) then
MVI STABLE,X'00' stable=false
ST R5,0(R2) a(i)=r5
ST R4,0(R3) a(i+1)=r4
ENDIF , end if
LA RI,1(RI) i=i+1
ENDDO , end do
L RI,NM1 i=n-1
DO WHILE=(C,RI,GE,=F'1') do i=n-1 to 1 by -1
LR R1,RI i
SLA R1,2 .
LA R2,A-4(R1) @a(i)
LA R3,A(R1) @a(i+1)
L R4,0(R2) r4=a(i)
L R5,0(R3) r5=a(i+1)
IF CR,R4,GT,R5 THEN if a(i)>a(i+1) then
MVI STABLE,X'00' stable=false
ST R5,0(R2) a(i)=r5
ST R4,0(R3) a(i+1)=r4
ENDIF , end if
BCTR RI,0 i=i-1
ENDDO , end do
ENDDO , until stable
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
NM1 DS F n-1
PG DC CL80' ' buffer
XDEC DS CL12 temp for xdeco
STABLE DS X stable
YREGS
RI EQU 6 i
END COCKTSRT |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #BASIC256 | BASIC256 |
# counting sort
n = 10
dim test(n)
test = {4, 65, 2, -31, 0, 99, 2, 83, 782, 1}
mn = -31
mx = 782
dim cnt(mx - mn + 1) # count is a reserved string function name
# seems initialized as 0
# for i = 1 to n
# print cnt[i]
# next i
# sort
for i = 0 to n-1
cnt[test[i] - mn] = cnt[test[i] - mn] + 1
next i
# output
print "original"
for i = 0 to n-1
print test[i] + " ";
next i
print
print "ordered"
for i = 0 to mx - mn
if 0 < cnt[i] then # for i = k to 0 causes error
for k = 1 to cnt[i]
print i + mn + " ";
next k
endif
next i
print
|
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Gambas | Gambas | 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 |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Crystal | Crystal | def knuthShuffle(items : Array)
i = items.size-1
while i > 1
j = Random.rand(0..i)
items.swap(i, j)
i -= 1
end
end
def sorted?(items : Array)
prev = items[0]
items.each do |item|
if item < prev
return false
end
prev = item
end
return true
end
def bogoSort(items : Array)
while !sorted?(items)
knuthShuffle(items)
end
end |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #BASIC | BASIC | DIM a(0 TO n-1) AS INTEGER
'...more code...
sort:
i = 1
j = 2
WHILE(i < UBOUND(a) - LBOUND(a))
IF a(i-1) <= a(i) THEN
i = j
j = j + 1
ELSE
SWAP a(i-1), a(i)
i = i - 1
IF i = 0 THEN
i = j
j = j + 1
END IF
END IF
WEND |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #6502_Assembly | 6502 Assembly | define z_HL $00
define z_L $00
define z_H $01
define temp $02
define temp2 $03
define yINC $04
define yDEC $05
set_table:
dex
txa
sta $1200,y
iny
bne set_table ;stores $ff at $1200, $fe at $1201, etc.
lda #$12
sta z_H
lda #$00
sta z_L ;get the base address of the data table
lda #0
tax
tay ;clear regs
sty yINC ;yINC = 0
dey ;LDY #255
sty yDEC ;yDEC = 255
iny ;LDY #0
JSR COCKTAILSORT
BRK
COCKTAILSORT:
;yINC starts at the beginning and goes forward, yDEC starts at the end and goes back.
LDY yINC
LDA (z_HL),y ;get item Y
STA temp
INY
LDA (z_HL),y ;get item Y+1
DEY
STA temp2
CMP temp
bcs doNothing_Up ;if Y<=Y+1, do nothing. Otherwise swap them.
;we had to re-arrange an item.
lda temp
iny
sta (z_HL),y ;store the higher value at base+y+1
inx ;sort count. If zero at the end, we're done.
dey
lda temp2
sta (z_HL),y ;store the lower value at base+y
doNothing_Up:
LDY yDEC
LDA (z_HL),y
STA temp
DEY
LDA (z_HL),y
INY
STA temp2
CMP temp
bcc doNothing_Down ;if Y<=Y+1, do nothing. Otherwise swap them.
;we had to re-arrange an item.
lda temp
dey
sta (z_HL),y ;store the higher value at base+y+1
inx ;sort count. If zero at the end, we're done.
iny
lda temp2
sta (z_HL),y ;store the lower value at base+y
doNothing_Down:
INC yINC
DEC yDEC
LDA yINC
BPL COCKTAILSORT
CPX #0
BEQ doneSorting
LDX #0 ;reset the counter
LDY #0
STY yINC
DEY ;LDY #$FF
STY yDEC
INY ;LDY #0
JMP COCKTAILSORT
doneSorting:
RTS |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #BBC_BASIC | BBC BASIC | DIM test%(9)
test%() = 4, 65, 2, -31, 0, 99, 2, 83, 782, 1
PROCcountingsort(test%(), -31, 782)
FOR i% = 0 TO 9
PRINT test%(i%) ;
NEXT
PRINT
END
DEF PROCcountingsort(a%(), l%, h%)
LOCAL i%, z%, c%()
DIM c%(h% - l%)
FOR i% = 0 TO DIM(a%(),1)
c%(a%(i%) - l%) += 1
NEXT
FOR i% = l% TO h%
WHILE c%(i% - l%)
a%(z%) = i%
z% += 1
c%(i% - l%) -= 1
ENDWHILE
NEXT
ENDPROC |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #C | C | #include <stdio.h>
#include <stdlib.h>
void counting_sort_mm(int *array, int n, int min, int max)
{
int i, j, z;
int range = max - min + 1;
int *count = malloc(range * sizeof(*array));
for(i = 0; i < range; i++) count[i] = 0;
for(i = 0; i < n; i++) count[ array[i] - min ]++;
for(i = min, z = 0; i <= max; i++) {
for(j = 0; j < count[i - min]; j++) {
array[z++] = i;
}
}
free(count);
}
void min_max(int *array, int n, int *min, int *max)
{
int i;
*min = *max = array[0];
for(i=1; i < n; i++) {
if ( array[i] < *min ) {
*min = array[i];
} else if ( array[i] > *max ) {
*max = array[i];
}
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Go | 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
}
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #D | D | import std.stdio, std.algorithm, std.random;
void bogoSort(T)(T[] data) {
while (!isSorted(data))
randomShuffle(data);
}
void main() {
auto array = [2, 7, 41, 11, 3, 1, 6, 5, 8];
bogoSort(array);
writeln(array);
} |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Batch_File | Batch File | @ECHO OFF
SETLOCAL EnableExtensions EnableDelayedExpansion
:: GnomeSort.cmd in WinNT Batch using pseudo array.
:: Set the number of random elements to sort.
SET numElements=100
:: Decrement numElements for use in zero-based loops as in (0, 1, %numElements% - 1).
SET /A tmpElements=%numElements% - 1
:: Create array of random numbers and output to file.
ECHO GnomeSort Random Input 0 to %tmpElements%:>%~n0.txt
FOR /L %%X IN (0, 1, %tmpElements%) DO (
SET array[%%X]=!RANDOM!
ECHO !array[%%X]!>>%~n0.txt
)
:GnomeSort
:: Initialize the pointers i-1, i, and j.
SET gs1=0
SET gs2=1
SET gs3=2
:GS_Loop
:: Implementing a WHILE loop in WinNT batch using GOTO. It only executes
:: if the condition is true and continues until the condition is false.
:: First, display [i-1][j - 2] to the Title Bar.
SET /A gsTmp=%gs3% - 2
TITLE GnomeSort:[%gs1%][%gsTmp%] of %tmpElements%
:: ...then start Main Loop. It's a direct implementation of the
:: pseudo code supplied by Rosetta Code. I had to add an additional
:: pointer to represent i-1, because of limitations in WinNT Batch.
IF %gs2% LSS %numElements% (
REM if i-1 <= i advance pointers to next unchecked element, then loop.
IF !array[%gs1%]! LEQ !array[%gs2%]! (
SET /A gs1=%gs3% - 1
SET /A gs2=%gs3%
SET /A gs3=%gs3% + 1
) ELSE (
REM ... else swap i-1 and i, decrement pointers to check previous element, then loop.
SET gsTmp=!array[%gs1%]!
SET array[%gs1%]=!array[%gs2%]!
SET array[%gs2%]=!gsTmp!
SET /A gs1-=1
SET /A gs2-=1
REM if first element has been reached, set pointers to next unchecked element.
IF !gs2! EQU 0 (
SET /A gs1=%gs3% - 1
SET /A gs2=%gs3%
SET /A gs3=%gs3% + 1
)
)
GOTO :GS_Loop
)
TITLE GnomeSort:[%gs1%][%gsTmp%] - Done!
:: write sorted elements out to file
ECHO.>>%~n0.txt
ECHO GnomeSort Sorted Output 0 to %tmpElements%:>>%~n0.txt
FOR /L %%X IN (0, 1, %tmpElements%) DO ECHO !array[%%X]!>>%~n0.txt
ENDLOCAL
EXIT /B 0 |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #AArch64_Assembly | AArch64 Assembly |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program cocktailSort64.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 cocktailSort
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
/******************************************************************/
/* cocktail sort */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the first element */
/* x2 contains the number of element */
cocktailSort:
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 x2,x2,1 // compute i = n - 1
1: // start loop 1
mov x3,x1 // start index
mov x9,0
sub x7,x2,1
2: // start loop 2
add x4,x3,1
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 x9,1 // top table not sorted
3:
add x3,x3,1 // increment index j
cmp x3,x7 // end ?
ble 2b // no -> loop 2
cmp x9,0 // table sorted ?
beq 100f // yes -> end
mov x9,0
mov x3,x7
4:
add x4,x3,1
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 5f
str x6,[x0,x3,lsl 3] // if smaller inversion
str x5,[x0,x4,lsl 3]
mov x9,1 // top table not sorted
5:
sub x3,x3,1 // decrement index j
cmp x3,x1 // end ?
bge 4b // no -> loop 2
cmp x9,0 // table sorted ?
bne 1b // no -> 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
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"
|
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #C.23 | C# | using System;
using System.Linq;
namespace CountingSort
{
class Program
{
static void Main(string[] args)
{
Random rand = new Random(); // Just for creating a test array
int[] arr = new int[100]; // of random numbers
for (int i = 0; i < 100; i++) { arr[i] = rand.Next(0, 100); } // ...
int[] newarr = countingSort(arr, arr.Min(), arr.Max());
}
private static int[] countingSort(int[] arr, int min, int max)
{
int[] count = new int[max - min + 1];
int z = 0;
for (int i = 0; i < count.Length; i++) { count[i] = 0; }
for (int i = 0; i < arr.Length; i++) { count[arr[i] - min]++; }
for (int i = min; i <= max; i++)
{
while (count[i - min]-- > 0)
{
arr[z] = i;
z++;
}
}
return arr;
}
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Groovy | Groovy | 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
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Delphi | Delphi | def isSorted(list) {
if (list.size() == 0) { return true }
var a := list[0]
for i in 1..!(list.size()) {
var b := list[i]
if (a > b) { return false }
a := b
}
return true
}
def bogosort(list, random) {
while (!isSorted(list)) {
shuffle(list, random)
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #BBC_BASIC | BBC BASIC | DEF PROC_GnomeSort1(Size%)
I%=2
J%=2
REPEAT
IF data%(J%-1) <=data%(J%) THEN
I%+=1
J%=I%
ELSE
SWAP data%(J%-1),data%(J%)
J%-=1
IF J%=1 THEN
I%+=1
J%=I%
ENDIF
ENDIF
UNTIL I%>Size%
ENDPROC |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #Action.21 | 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 CoctailSort(INT ARRAY a INT size)
INT i,tmp
BYTE swapped
DO
swapped=0
i=0
WHILE i<size-1
DO
IF a(i)>a(i+1) THEN
tmp=a(i) a(i)=a(i+1) a(i+1)=tmp
swapped=1
FI
i==+1
OD
IF swapped=0 THEN EXIT FI
swapped=0
i=size-1
WHILE i>=0
DO
IF a(i)>a(i+1) THEN
tmp=a(i) a(i)=a(i+1) a(i+1)=tmp
swapped=1
FI
i==-1
OD
UNTIL swapped=0
OD
RETURN
PROC Test(INT ARRAY a INT size)
PrintE("Array before sort:")
PrintArray(a,size)
CoctailSort(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 |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #C.2B.2B | C++ |
#include <iostream>
#include <time.h>
//------------------------------------------------------------------------------
using namespace std;
//------------------------------------------------------------------------------
const int MAX = 30;
//------------------------------------------------------------------------------
class cSort
{
public:
void sort( int* arr, int len )
{
int mi, mx, z = 0; findMinMax( arr, len, mi, mx );
int nlen = ( mx - mi ) + 1; int* temp = new int[nlen];
memset( temp, 0, nlen * sizeof( int ) );
for( int i = 0; i < len; i++ ) temp[arr[i] - mi]++;
for( int i = mi; i <= mx; i++ )
{
while( temp[i - mi] )
{
arr[z++] = i;
temp[i - mi]--;
}
}
delete [] temp;
}
private:
void findMinMax( int* arr, int len, int& mi, int& mx )
{
mi = INT_MAX; mx = 0;
for( int i = 0; i < len; i++ )
{
if( arr[i] > mx ) mx = arr[i];
if( arr[i] < mi ) mi = arr[i];
}
}
};
//------------------------------------------------------------------------------
int main( int argc, char* argv[] )
{
srand( time( NULL ) ); int arr[MAX];
for( int i = 0; i < MAX; i++ )
arr[i] = rand() % 140 - rand() % 40 + 1;
for( int i = 0; i < MAX; i++ )
cout << arr[i] << ", ";
cout << endl << endl;
cSort s; s.sort( arr, MAX );
for( int i = 0; i < MAX; i++ )
cout << arr[i] << ", ";
cout << endl << endl;
return system( "pause" );
}
//------------------------------------------------------------------------------
|
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Haskell | 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 |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #E | E | def isSorted(list) {
if (list.size() == 0) { return true }
var a := list[0]
for i in 1..!(list.size()) {
var b := list[i]
if (a > b) { return false }
a := b
}
return true
}
def bogosort(list, random) {
while (!isSorted(list)) {
shuffle(list, random)
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #BCPL | BCPL | get "libhdr"
let gnomesort(A, len) be
$( let i=1 and j=2 and t=?
while i < len
test A!(i-1) <= A!i
$( i := j
j := j + 1
$)
or
$( t := A!(i-1)
A!(i-1) := a!i
A!i := t
i := i - 1
if i = 0
$( i := j
j := j + 1
$)
$)
$)
let writearray(A, len) be
for i=0 to len-1 do
writed(A!i, 6)
let start() be
$( let array = table 52, -5, -20, 199, 65, -3, 190, 25, 9999, -5342
let length = 10
writes("Input: ") ; writearray(array, length) ; wrch('*N')
gnomesort(array, length)
writes("Output: ") ; writearray(array, length) ; wrch('*N')
$) |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #ActionScript | ActionScript | function cocktailSort(input:Array):Array {
do {
var swapped:Boolean=false;
for (var i:uint = 0; i < input.length-1; i++) {
if (input[i]>input[i+1]) {
var tmp=input[i];
input[i]=input[i+1];
input[i+1]=tmp;
swapped=true;
}
}
if (! swapped) {
break;
}
for (i = input.length -2; i >= 0; i--) {
if (input[i]>input[i+1]) {
tmp=input[i];
input[i]=input[i+1];
input[i+1]=tmp;
swapped=true;
}
}
} while (swapped);
return input;
} |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Common_Lisp | Common Lisp | (defun counting-sort (sequence &optional (min (reduce #'min sequence))
(max (reduce #'max sequence)))
(let ((i 0)
(counts (make-array (1+ (- max min)) :initial-element 0
:element-type `(integer 0 ,(length sequence)))))
(declare (dynamic-extent counts))
(map nil (lambda (n) (incf (aref counts (- n min)))) sequence)
(map-into sequence (lambda ()
(do () ((plusp (aref counts i)))
(incf i))
(decf (aref counts i))
(+ i min))))) |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Haxe | 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);
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Eiffel | Eiffel |
class
BOGO_SORT
feature
bogo_sort (ar: ARRAY [INTEGER]): ARRAY [INTEGER]
-- Sorted array in ascending order.
do
from
until
is_sorted (ar) = True
loop
Result := shuffel (ar)
end
end
feature {NONE}
is_sorted (ar: ARRAY [INTEGER]): BOOLEAN
-- Is 'ar' sorted in ascending order?
require
not_void: ar /= Void
local
i: INTEGER
do
Result := True
from
i := 1 + 1
invariant
i >= 1 + 1 and i <= ar.count + 1
until
i > ar.count
loop
Result := Result and ar [i - 1] <= ar [i]
i := i + 1
variant
ar.count + 1 - i
end
end
shuffle (ar: ARRAY [INTEGER]): ARRAY [INTEGER]
-- Array containing the same elements as 'ar' in a shuffled order.
require
more_than_one_element: ar.count > 1
local
count, j, ith: INTEGER
random: V_RANDOM
do
create random
create Result.make_empty
Result.deep_copy (ar)
count := ar.count
across
1 |..| count as c
loop
j := random.bounded_item (c.item, count)
ith := Result [c.item]
Result [c.item] := Result [j]
Result [j] := ith
random.forth
end
ensure
same_elements: across ar as a all Result.has (a.item) end
end
end
|
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #C | C | void gnome_sort(int *a, int n)
{
int i=1, j=2, t;
# define swap(i, j) { t = a[i]; a[i] = a[j]; a[j] = t; }
while(i < n) {
if (a[i - 1] > a[i]) {
swap(i - 1, i);
if (--i) continue;
}
i = j++;
}
# undef swap
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #11l | 11l | F bead_sort(&a)
V maxv = max(a)
V beads = [0] * (maxv * a.len)
L(i) 0 .< a.len
L(j) 0 .< a[i]
beads[i * maxv + j] = 1
L(j) 0 .< maxv
V sum = 0
L(i) 0 .< a.len
sum += beads[i * maxv + j]
beads[i * maxv + j] = 0
L(i) a.len - sum .< a.len
beads[i * maxv + j] = 1
L(i) 0 .< a.len
V j = 0
L j < maxv & beads[i * maxv + j] > 0
j++
a[i] = j
V a = [5, 3, 1, 7, 4, 1, 1, 20]
bead_sort(&a)
print(a) |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #Ada | Ada | with Ada.Text_Io; use Ada.Text_Io;
procedure Cocktail_Sort_Test is
procedure Cocktail_Sort (Item : in out String) is
procedure Swap(Left, Right : in out Character) is
Temp : Character := Left;
begin
Left := Right;
Right := Temp;
end Swap;
Swapped : Boolean := False;
begin
loop
for I in 1..Item'Last - 1 loop
if Item(I) > Item(I + 1) then
Swap(Item(I), Item(I + 1));
Swapped := True;
end if;
end loop;
if not Swapped then
for I in reverse 1..Item'Last - 1 loop
if Item(I) > Item(I + 1) then
Swap(Item(I), Item(I + 1));
Swapped := True;
end if;
end loop;
end if;
exit when not Swapped;
Swapped := False;
end loop;
end Cocktail_Sort;
Data : String := "big fjords vex quick waltz nymph";
begin
Put_Line(Data);
Cocktail_Sort(Data);
Put_Line(Data);
end Cocktail_Sort_Test; |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #D | D | import std.stdio, std.algorithm;
void countingSort(int[] array, in size_t min, in size_t max)
pure nothrow {
auto count = new int[max - min + 1];
foreach (number; array)
count[number - min]++;
size_t z = 0;
foreach (i; min .. max + 1)
while (count[i - min] > 0) {
array[z] = i;
z++;
count[i - min]--;
}
}
void main() {
auto data = [9, 7, 10, 2, 9, 7, 4, 3, 10, 2, 7, 10, 2, 1, 3, 8,
7, 3, 9, 5, 8, 5, 1, 6, 3, 7, 5, 4, 6, 9, 9, 6, 6,
10, 2, 4, 5, 2, 8, 2, 2, 5, 2, 9, 3, 3, 5, 7, 8, 4];
int dataMin = reduce!min(data);
int dataMax = reduce!max(data);
countingSort(data, dataMin, dataMax);
assert(isSorted(data));
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Icon_and_Unicon | Icon and Unicon | procedure main() #: demonstrate various ways to sort a list and string
demosort(combsort,[3, 14, 1, 5, 9, 2, 6, 3],"qwerty")
end
procedure combsort(X,op) #: return sorted X
local gap,swapped,i
op := sortop(op,X) # select how and what we sort
swappped := gap := *X # initialize gap size and say swapped
until /swapped & gap = 1 do {
gap := integer(gap / 1.25) # update the gap value for a next comb
gap <:= 1 # minimum gap of 1
swapped := &null
i := 0
until (i +:= 1) + gap > *X do # a single "comb" over the input list
if op(X[i+gap],X[i]) then
X[i+1] :=: X[swapped := i] # swap and flag as unsorted
}
return X
end |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Elena | Elena | import extensions;
import system'routines;
extension op
{
bogoSorter()
{
var list := self;
until (list.isAscendant())
{
list := list.randomize(list.Length)
};
^ list
}
}
public program()
{
var list := new int[]{3, 4, 1, 8, 7, -2, 0};
console.printLine("before:", list.asEnumerable());
console.printLine("after :", list.bogoSorter().asEnumerable())
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Elixir | Elixir | defmodule Sort do
def bogo_sort(list) do
if sorted?(list) do
list
else
bogo_sort(Enum.shuffle(list))
end
end
defp sorted?(list) when length(list)<=1, do: true
defp sorted?([x, y | _]) when x>y, do: false
defp sorted?([_, y | rest]), do: sorted?([y | rest])
end |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #C.23 | C# |
public static void gnomeSort(int[] anArray)
{
int first = 1;
int second = 2;
while (first < anArray.Length)
{
if (anArray[first - 1] <= anArray[first])
{
first = second;
second++;
}
else
{
int tmp = anArray[first - 1];
anArray[first - 1] = anArray[first];
anArray[first] = tmp;
first -= 1;
if (first == 0)
{
first = 1;
second = 2;
}
}
}
}
|
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #360_Assembly | 360 Assembly | * Bead Sort 11/05/2016
BEADSORT CSECT
USING BEADSORT,R13 base register
SAVEAR B STM-SAVEAR(R15) skip savearea
DC 17F'0' savearea
STM STM R14,R12,12(R13) prolog
ST R13,4(R15) "
ST R15,8(R13) "
LR R13,R15 "
LA R6,1 i=1
LOOPI1 CH R6,=AL2(N) do i=1 to hbound(z)
BH ELOOPI1 leave i
LR R1,R6 i
SLA R1,1 <<1
LH R2,Z-2(R1) z(i)
CH R2,LO if z(i)<lo
BNL EIHO then
STH R2,LO lo=z(i)
EIHLO CH R2,HI if z(i)>hi
BNH EIHHI then
STH R2,HI hi=z(i)
EIHHI LA R6,1(R6) iterate i
B LOOPI1 next i
ELOOPI1 LA R9,1 1
SH R9,LO -lo+1
LA R6,1 i=1
LOOPI2 CH R6,=AL2(N) do i=1 to hbound(z)
BH ELOOPI2 leave i
LR R1,R6 i
SLA R1,1 <<1
LH R3,Z-2(R1) z(i)
AR R3,R9 z(i)+o
IC R2,BEADS-1(R3) beads(l)
LA R2,1(R2) beads(l)+1
STC R2,BEADS-1(R3) beads(l)=beads(l)+1
LA R6,1(R6) iterate i
B LOOPI2 next i
ELOOPI2 SR R8,R8 k=0
LH R6,LO i=lo
LOOPI3 CH R6,HI do i=lo to hi
BH ELOOPI3 leave i
LA R7,1 j=1
SR R10,R10 clear r10
LR R1,R6 i
AR R1,R9 i+o
IC R10,BEADS-1(R1) beads(i+o)
LOOPJ3 CR R7,R10 do j=1 to beads(i+o)
BH ELOOPJ3 leave j
LA R8,1(R8) k=k+1
LR R1,R8 k
SLA R1,1 <<1
STH R6,S-2(R1) s(k)=i
LA R7,1(R7) iterate j
B LOOPJ3 next j
ELOOPJ3 AH R6,=H'1' iterate i
B LOOPI3 next i
ELOOPI3 LA R7,1 j=1
LOOPJ4 CH R7,=H'2' do j=1 to 2
BH ELOOPJ4 leave j
CH R7,=H'1' if j<>1
BE ONE then
MVC PG(7),=C'sorted:' zap
ONE LA R10,PG+7 pgi=@pg+7
LA R6,1 i=1
LOOPI4 CH R6,=AL2(N) do i=1 to hbound(z)
BH ELOOPI4 leave i
CH R7,=H'1' if j=1
BNE TWO then
LR R1,R6 i
SLA R1,1 <<1
LH R11,Z-2(R1) zs=z(i)
B XDECO else
TWO LR R1,R6 i
SLA R1,1 <<1
LH R11,S-2(R1) zs=s(i)
XDECO XDECO R11,XDEC edit zs
MVC 0(6,R10),XDEC+6 output zs
LA R10,6(R10) pgi=pgi+6
LA R6,1(R6) iterate i
B LOOPI4 next i
ELOOPI4 XPRNT PG,80 print buffer
LA R7,1(R7) iterate j
B LOOPJ4 next j
ELOOPJ4 L R13,4(0,R13) epilog
LM R14,R12,12(R13) "
XR R15,R15 "
BR R14 "
LTORG literal table
N EQU (S-Z)/2 number of items
Z DC H'5',H'3',H'1',H'7',H'-1',H'4',H'9',H'-12'
DC H'2001',H'-2010',H'17',H'0'
S DS (N)H s same size as z
LO DC H'32767' 2**31-1
HI DC H'-32768' -2**31
PG DC CL80' raw:' buffer
XDEC DS CL12 temp
BEADS DC 4096X'00' beads
YREGS
END BEADSORT |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #AArch64_Assembly | AArch64 Assembly |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program beadSort64.s */
/* En français tri par gravité ou tri par bille (ne pas confondre
avec tri par bulle (bubble sort)) */
/*******************************************/
/* 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
//.equ NBELEMENTS, 4 // for others tests
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
1:
ldr x0,qAdrTableNumber // address number table
mov x1,#NBELEMENTS // number of élements
bl beadSort
ldr x0,qAdrTableNumber // address number table
mov x1,#NBELEMENTS // number of élements
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
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] // load A[0]
1:
add x2,x2,#1
cmp x2,x1 // end ?
bge 99f
ldr x3,[x0,x2, lsl #3] // load A[i]
cmp x3,x4 // compare A[i],A[i-1]
blt 98f // smaller -> error -> return
mov x4,x3 // no -> A[i-1] = A[i]
b 1b // and loop
98:
mov x0,#0 // error
b 100f
99:
mov x0,#1 // ok -> return
100:
ldp x2,x3,[sp],16 // restaur 2 registers
ldp x1,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/******************************************************************/
/* bead sort */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the number of element */
/* Caution registers x2-x12 are not saved */
beadSort:
stp x1,lr,[sp,-16]! // save registers
mov x12,x1 // save elements number
//search max
ldr x10,[x0] // load value A[0] in max
mov x4,#1
1: // loop search max
cmp x4,x12 // end ?
bge 21f // yes
ldr x2,[x0,x4,lsl #3] // load value A[i]
cmp x2,x10 // compare with max
csel x10,x2,x10,gt // if greather
add x4,x4,#1
b 1b // loop
21:
mul x5,x10,x12 // max * elements number
lsl x5,x5,#3 // 8 bytes for each number
sub sp,sp,x5 // allocate on the stack
mov fp,sp // frame pointer = stack address
// marks beads
mov x3,x0 // save table address
mov x0,#0 // start index x
2:
mov x1,#0 // index y
ldr x8,[x3,x0,lsl #3] // load A[x]
mul x6,x0,x10 // compute bead x
3:
add x9,x6,x1 // compute bead y
mov x4,#1 // value to store
str x4,[fp,x9,lsl #3] // store to stack area
add x1,x1,#1
cmp x1,x8
blt 3b
31: // init to zéro the bead end
cmp x1,x10 // max ?
bge 32f
add x9,x6,x1 // compute bead y
mov x4,#0
str x4,[fp,x9,lsl #3]
add x1,x1,#1
b 31b
32:
add x0,x0,#1 // increment x
cmp x0,x12 // end ?
blt 2b
// count beads
mov x1,#0 // y
4:
mov x0,#0 // start index x
mov x8,#0 // sum
5:
mul x6,x0,x10 // compute bead x
add x9,x6,x1 // compute bead y
ldr x4,[fp,x9,lsl #3]
add x8,x8,x4
mov x4,#0
str x4,[fp,x9,lsl #3] // raz bead
add x0,x0,#1
cmp x0,x12
blt 5b
sub x0,x12,x8 // compute end - sum
6:
mul x6,x0,x10 // compute bead x
add x9,x6,x1 // compute bead y
mov x4,#1
str x4,[fp,x9,lsl #3] // store new bead at end
add x0,x0,#1
cmp x0,x12
blt 6b
add x1,x1,#1
cmp x1,x10
blt 4b
// final compute
mov x0,#0 // start index x
7:
mov x1,#0 // start index y
mul x6,x0,x10 // compute bead x
8:
add x9,x6,x1 // compute bead y
ldr x4,[fp,x9,lsl #3] // load bead [x,y]
add x1,x1,#1 // add to x1 before str (index start at zéro)
cmp x4,#1
bne 9f
str x1,[x3,x0, lsl #3] // store A[x]
9:
cmp x1,x10 // compare max
blt 8b
add x0,x0,#1
cmp x0,x12 // end ?
blt 7b
mov x0,#0
add sp,sp,x5 // stack alignement
100:
ldp x1,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/******************************************************************/
/* Display table elements */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains elements number */
displayTable:
stp x1,lr,[sp,-16]! // save registers
stp x2,x3,[sp,-16]! // save registers
mov x2,x0 // table address
mov x4,x1 // elements number
mov x3,#0
1: // loop display table
ldr x0,[x2,x3,lsl #3]
ldr x1,qAdrsZoneConv
bl conversion10 // décimal conversion
ldr x0,qAdrsMessResult
ldr x1,qAdrsZoneConv // insert conversion
bl strInsertAtCharInc
bl affichageMess // display message
add x3,x3,#1
cmp x3,x4 // end ?
blt 1b // no -> loop
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
qAdrsZoneConv: .quad sZoneConv
/********************************************************/
/* File Include fonctions */
/********************************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
|
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #ALGOL_60 | ALGOL 60 | begin
comment Sorting algorithms/Cocktail sort - Algol 60;
integer nA;
nA:=20;
begin
integer array A[1:nA];
procedure cocktailsort(lb,ub);
value lb,ub; integer lb,ub;
begin
integer i,lbx,ubx;
boolean swapped;
lbx:=lb; ubx:=ub-1; swapped :=true;
for i:=1 while swapped do begin
procedure swap(i); value i; integer i;
begin
integer temp;
temp :=A[i];
A[i] :=A[i+1];
A[i+1]:=temp;
swapped:=true
end swap;
swapped:=false;
for i:=lbx step 1 until ubx do if A[i]>A[i+1] then swap(i);
if swapped
then begin
for i:=ubx step -1 until lbx do if A[i]>A[i+1] then swap(i);
ubx:=ubx-1; lbx:=lbx+1
end
end
end cocktailsort;
procedure inittable(lb,ub);
value lb,ub; integer lb,ub;
begin
integer i;
for i:=lb step 1 until ub do A[i]:=entier(rand*100)
end inittable;
procedure writetable(lb,ub);
value lb,ub; integer lb,ub;
begin
integer i;
for i:=lb step 1 until ub do outinteger(1,A[i]);
outstring(1,"\n")
end writetable;
nA:=20;
inittable(1,nA);
writetable(1,nA);
cocktailsort(1,nA);
writetable(1,nA)
end
end |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Delphi | Delphi | def countingSort(array, min, max) {
def counts := ([0] * (max - min + 1)).diverge()
for elem in array {
counts[elem - min] += 1
}
var i := -1
for offset => count in counts {
def elem := min + offset
for _ in 1..count {
array[i += 1] := elem
}
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Io | 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) |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Euphoria | Euphoria | function shuffle(sequence s)
object temp
integer j
for i = length(s) to 1 by -1 do
j = rand(i)
if i != j then
temp = s[i]
s[i] = s[j]
s[j] = temp
end if
end for
return s
end function
function inOrder(sequence s)
for i = 1 to length(s)-1 do
if compare(s[i],s[i+1]) > 0 then
return 0
end if
end for
return 1
end function
function bogosort(sequence s)
while not inOrder(s) do
? s
s = shuffle(s)
end while
return s
end function
? bogosort(shuffle({1,2,3,4,5,6})) |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #C.2B.2B | C++ | g++ -std=c++11 gnome.cpp
|
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program beadSort.s */
/* En français tri par gravité ou tri par bille (ne pas confondre
avec tri par bulle (bubble sort) */
/* 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
@.equ NBELEMENTS, 4 @ for others tests
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
1:
ldr r0,iAdrTableNumber @ address number table
mov r1,#NBELEMENTS @ number of élements
bl beadSort
ldr r0,iAdrTableNumber @ address number table
mov r1,#NBELEMENTS @ number of élements
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] @ load A[0]
1:
add r2,#1
cmp r2,r1 @ end ?
movge r0,#1 @ yes -> ok -> return
bge 100f
ldr r3,[r0,r2, lsl #2] @ load A[i]
cmp r3,r4 @ compare A[i],A[i-1]
movlt r0,#0 @ smaller ?
blt 100f @ yes -> error -> return
mov r4,r3 @ no -> A[i-1] = A[i]
b 1b @ and loop
100:
pop {r2-r4,lr}
bx lr @ return
/******************************************************************/
/* bead sort */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the number of element */
beadSort:
push {r1-r12,lr} @ save registers
mov r12,r1 @ save elements number
@search max
ldr r10,[r0] @ load value A[0] in max
mov r4,#1
1: @ loop search max
cmp r4,r12 @ end ?
bge 21f @ yes
ldr r2,[r0,r4,lsl #2] @ load value A[i]
cmp r2,r10 @ compare with max
movgt r10,r2 @ if greather
add r4,r4,#1
b 1b @ loop
21:
mul r5,r10,r12 @ max * elements number
lsl r5,r5,#2 @ 4 bytes for each number
sub sp,sp,r5 @ allocate on the stack
mov fp,sp @ frame pointer = stack address
@ marks beads
mov r3,r0 @ save table address
mov r0,#0 @ start index x
2:
mov r1,#0 @ index y
ldr r7,[r3,r0,lsl #2] @ load A[x]
mul r6,r0,r10 @ compute bead x
3:
add r9,r6,r1 @ compute bead y
mov r4,#1 @ value to store
str r4,[fp,r9,lsl #2] @ store to stack area
add r1,r1,#1
cmp r1,r7
blt 3b
31: @ init to zéro the bead end
cmp r1,r10 @ max ?
bge 32f
add r9,r6,r1 @ compute bead y
mov r4,#0
str r4,[fp,r9,lsl #2]
add r1,r1,#1
b 31b
32:
add r0,r0,#1 @ increment x
cmp r0,r12 @ end ?
blt 2b
@ count beads
mov r1,#0 @ y
4:
mov r0,#0 @ start index x
mov r8,#0 @ sum
5:
mul r6,r0,r10 @ compute bead x
add r9,r6,r1 @ compute bead y
ldr r4,[fp,r9,lsl #2]
add r8,r8,r4
mov r4,#0
str r4,[fp,r9,lsl #2]
add r0,r0,#1
cmp r0,r12
blt 5b
sub r0,r12,r8
6:
mul r6,r0,r10 @ compute bead x
add r9,r6,r1 @ compute bead y
mov r4,#1
str r4,[fp,r9,lsl #2]
add r0,r0,#1
cmp r0,r12
blt 6b
add r1,r1,#1
cmp r1,r10
blt 4b
@ suite
mov r0,#0 @ start index
7:
mov r1,#0
mul r6,r0,r10 @ compute bead x
8:
add r9,r6,r1 @ compute bead y
ldr r4,[fp,r9,lsl #2]
add r1,r1,#1 @ add to r1 before str (index start at zéro)
cmp r4,#1
streq r1,[r3,r0, lsl #2] @ store A[i]
cmp r1,r10 @ compare max
blt 8b
add r0,r0,#1
cmp r0,r12 @ end ?
blt 7b
mov r0,#0
add sp,sp,r5 @ stack alignement
100:
pop {r1-r12,lr}
bx lr @ return
/******************************************************************/
/* Display table elements */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains elements number */
displayTable:
push {r0-r4,lr} @ save registers
mov r2,r0 @ table address
mov r4,r1 @ elements number
mov r3,#0
1: @ loop display table
ldr r0,[r2,r3,lsl #2]
ldr r1,iAdrsZoneConv
bl conversion10 @ décimal conversion
ldr r0,iAdrsMessResult
ldr r1,iAdrsZoneConv @ insert conversion
bl strInsertAtCharInc
bl affichageMess @ display message
add r3,r3,#1
cmp r3,r4 @ end ?
blt 1b @ no -> loop
ldr r0,iAdrszCarriageReturn
bl affichageMess
100:
pop {r0-r4,lr}
bx lr
iAdrsZoneConv: .int sZoneConv
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #ALGOL_68 | ALGOL 68 | MODE DATA = CHAR;
PROC swap = (REF DATA a,b)VOID:(
DATA tmp:=a; a:=b; b:=tmp
);
PROC cocktail sort = (REF[]DATA a)VOID: (
WHILE
BOOL swapped := FALSE;
FOR i FROM LWB a TO UPB a - 1 DO
IF a[ i ] > a[ i + 1 ] THEN # test whether the two elements are in the wrong order #
swap( a[ i ], a[ i + 1 ] ); # let the two elements change places #
swapped := TRUE
FI
OD;
IF NOT swapped THEN
# we can exit the outer loop here if no swaps occurred. #
break do while loop
FI;
swapped := FALSE;
FOR i FROM UPB a - 1 TO LWB a DO
IF a[ i ] > a[ i + 1 ] THEN
swap( a[ i ], a[ i + 1 ] );
swapped := TRUE
FI
OD;
# WHILE # swapped # if no elements have been swapped, then the list is sorted #
DO SKIP OD;
break do while loop: SKIP
);
[32]CHAR data := "big fjords vex quick waltz nymph";
cocktail sort(data);
print(data) |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #E | E | def countingSort(array, min, max) {
def counts := ([0] * (max - min + 1)).diverge()
for elem in array {
counts[elem - min] += 1
}
var i := -1
for offset => count in counts {
def elem := min + offset
for _ in 1..count {
array[i += 1] := elem
}
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #IS-BASIC | 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 |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Factor | Factor | USING: grouping kernel math random sequences ;
: sorted? ( seq -- ? ) 2 <clumps> [ first2 <= ] all? ;
: bogosort ( seq -- newseq ) [ dup sorted? ] [ randomize ] until ; |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Fantom | Fantom |
class Main
{
Bool in_order (Int[] items)
{
(0..<(items.size-1)).toList.all |Int i -> Bool|
{
items[i] <= items[i+1]
}
}
Int[] bogosort (Int[] items)
{
while (!in_order(items))
{
items.shuffle
}
return items
}
Void main ()
{
// example
echo ("Sorting [3,4,2,1] gives " + bogosort ([3,4,2,1]))
}
}
|
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Clojure | Clojure | (defn gnomesort
([c] (gnomesort c <))
([c pred]
(loop [x [] [y1 & ys :as y] (seq c)]
(cond (empty? y) x
(empty? x) (recur (list y1) ys)
true (let [zx (last x)]
(if (pred y1 zx)
(recur (butlast x) (concat (list y1 zx) ys))
(recur (concat x (list y1)) ys)))))))
(println (gnomesort [3 1 4 1 5 9 2 6 5])) |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #Arturo | Arturo | beadSort: function [items][
a: new items
m: neg infinity
s: 0
loop a 'x [
if x > m -> m: x
]
beads: array.of: m * size a 0
loop 0..dec size a 'i [
loop 0..dec a\[i] 'j ->
beads\[j + i * m]: 1
]
loop 0..dec m 'j [
s: 0
loop 0..dec size a 'i [
s: s + beads\[j + i*m]
beads\[j + i*m]: 0
]
loop ((size a)-s)..dec size a 'i ->
beads\[j + i*m]: 1
]
loop 0..dec size a 'i [
j: 0
while [and? [j < m] [beads\[j + i*m] > 0]] -> j: j + 1
a\[i]: j
]
return a
]
print beadSort [3 1 2 8 5 7 9 4 6] |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #ALGOL_W | ALGOL W | begin
% As algol W does not allow overloading, we have to have type-specific %
% sorting procedures - this coctail sorts an integer array %
% as there is no way for the procedure to determine the array bounds, we %
% pass the lower and upper bounds in lb and ub %
procedure coctailSortIntegers( integer array item( * )
; integer value lb
; integer value ub
) ;
begin
integer lower, upper;
lower := lb;
upper := ub - 1;
while
begin
logical swapped;
procedure swap( integer value i ) ;
begin
integer val;
val := item( i );
item( i ) := item( i + 1 );
item( i + 1 ) := val;
swapped := true;
end swap ;
swapped := false;
for i := lower until upper do if item( i ) > item( i + 1 ) then swap( i );
if swapped
then begin
% there was at least one unordered element so try a 2nd sort pass %
for i := upper step -1 until lower do if item( i ) > item( i + 1 ) then swap( i );
upper := upper - 1; lower := lower + 1;
end if_swapped ;
swapped
end
do begin end;
end coctailSortIntegers ;
begin % test the sort %
integer array data( 1 :: 10 );
procedure writeData ;
begin
write( data( 1 ) );
for i := 2 until 10 do writeon( data( i ) );
end writeData ;
% initialise data to unsorted values %
integer dPos;
dPos := 1;
for i := 16, 2, -6, 9, 90, 14, 0, 23, 8, 9
do begin
data( dPos ) := i;
dPos := dPos + 1;
end for_i ;
i_w := 3; s_w := 1; % set output format %
writeData;
coctailSortIntegers( data, 1, 10 );
writeData;
end test ;
end. |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Eiffel | Eiffel |
class
COUNTING_SORT
feature
sort (ar: ARRAY [INTEGER]; min, max: INTEGER): ARRAY [INTEGER]
-- Sorted Array in ascending order.
require
ar_not_void: ar /= Void
lowest_index_zero: ar.lower = 0
local
count: ARRAY [INTEGER]
i, j, z: INTEGER
do
create Result.make_empty
Result.deep_copy (ar)
create count.make_filled (0, 0, max - min)
from
i := 0
until
i = Result.count
loop
count [Result [i] - min] := count [Result [i] - min] + 1
i := i + 1
end
z := 0
from
i := min
until
i > max
loop
from
j := 0
until
j = count [i - min]
loop
Result [z] := i
z := z + 1
j := j + 1
end
i := i + 1
end
ensure
Result_is_sorted: is_sorted (Result)
end
feature {NONE}
is_sorted (ar: ARRAY [INTEGER]): 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
|
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #J | J | 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
) |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Fortran | Fortran | MODULE BOGO
IMPLICIT NONE
CONTAINS
FUNCTION Sorted(a)
LOGICAL :: Sorted
INTEGER, INTENT(IN) :: a(:)
INTEGER :: i
Sorted = .TRUE.
DO i = 1, SIZE(a)-1
IF(a(i) > a(i+1)) THEN
Sorted = .FALSE.
EXIT
END IF
END DO
END FUNCTION Sorted
SUBROUTINE SHUFFLE(a)
INTEGER, INTENT(IN OUT) :: a(:)
INTEGER :: i, rand, temp
REAL :: x
DO i = SIZE(a), 1, -1
CALL RANDOM_NUMBER(x)
rand = INT(x * i) + 1
temp = a(rand)
a(rand) = a(i)
a(i) = temp
END DO
END SUBROUTINE
END MODULE
PROGRAM BOGOSORT
USE BOGO
IMPLICIT NONE
INTEGER :: iter = 0
INTEGER :: array(8) = (/2, 7, 5, 3, 4, 8, 6, 1/)
LOGICAL :: s
DO
s = Sorted(array)
IF (s) EXIT
CALL SHUFFLE(array)
iter = iter + 1
END DO
WRITE (*,*) "Array required", iter, " shuffles to sort"
END PROGRAM BOGOSORT |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #11l | 11l | F bubble_sort(&seq)
V changed = 1B
L changed == 1B
changed = 0B
L(i) 0 .< seq.len - 1
I seq[i] > seq[i + 1]
swap(&seq[i], &seq[i + 1])
changed = 1B
V testset = Array(0.<100)
V testcase = copy(testset)
random:shuffle(&testcase)
assert(testcase != testset)
bubble_sort(&testcase)
assert(testcase == testset) |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #COBOL | COBOL | C-SORT SECTION.
C-000.
DISPLAY "SORT STARTING".
SET WB-IX-1 TO 2.
MOVE 1 TO WC-NEXT-POSN.
PERFORM E-GNOME UNTIL WC-NEXT-POSN > WC-SIZE.
DISPLAY "SORT FINISHED".
C-999.
EXIT.
E-GNOME SECTION.
E-000.
IF WB-ENTRY(WB-IX-1 - 1) NOT > WB-ENTRY(WB-IX-1)
ADD 1 TO WC-NEXT-POSN
SET WB-IX-1 TO WC-NEXT-POSN
ELSE
MOVE WB-ENTRY(WB-IX-1 - 1) TO WC-TEMP
MOVE WB-ENTRY(WB-IX-1) TO WB-ENTRY(WB-IX-1 - 1)
MOVE WC-TEMP TO WB-ENTRY(WB-IX-1)
SET WB-IX-1 DOWN BY 1
IF WB-IX-1 = 1
ADD 1 TO WC-NEXT-POSN
SET WB-IX-1 TO WC-NEXT-POSN.
E-999.
EXIT. |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #AutoHotkey | AutoHotkey | BeadSort(data){
Pole:=[] , TempObj:=[], Result:=[]
for, i, v in data {
Row := i
loop, % v
MaxPole := MaxPole>A_Index?MaxPole:A_Index , Pole[A_Index, row] := 1
}
for i , obj in Pole {
TempVar:=0 , c := A_Index
for n, v in obj
TempVar += v
loop, % TempVar
TempObj[c, A_Index] := 1
}
loop, % Row {
TempVar:=0 , c := A_Index
Loop, % MaxPole
TempVar += TempObj[A_Index,c]
Result[c] := TempVar
}
return Result
} |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program cocktailSort.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 cocktailSort
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
/******************************************************************/
/* cocktail Sort */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the first element */
/* r2 contains the number of element */
cocktailSort:
push {r1-r9,lr} @ save registers
sub r2,r2,#1 @ compute i = n - 1
add r8,r1,#1
1: @ start loop 1
mov r3,r1 @ start index
mov r9,#0
sub r7,r2,#1 @ max
2: @ start loop 2
add r4,r3,#1
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 r9,#1 @ top table not sorted
add r3,#1 @ increment index j
cmp r3,r7 @ end ?
ble 2b @ no -> loop 2
cmp r9,#0 @ table sorted ?
beq 100f @ yes -> end
@ bl displayTable
mov r9,#0
mov r3,r7
3:
add r4,r3,#1
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 r9,#1 @ top table not sorted
sub r3,#1 @ decrement index j
cmp r3,r1 @ end ?
bge 3b @ no -> loop 2
@ bl displayTable
cmp r9,#0 @ table sorted ?
bne 1b @ no -> 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 signed
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"
|
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Elena | Elena | import extensions;
import system'routines;
extension op
{
countingSort()
= self.clone().countingSort(self.MinimalMember, self.MaximalMember);
countingSort(int min, int max)
{
int[] count := new int[](max - min + 1);
int z := 0;
count.populate:(int i => 0);
for(int i := 0, i < self.Length, i += 1) { count[self[i] - min] := count[self[i] - min] + 1 };
for(int i := min, i <= max, i += 1)
{
while (count[i - min] > 0)
{
self[z] := i;
z += 1;
count[i - min] := count[i - min] - 1
}
}
}
}
public program()
{
var list := new Range(0, 10).selectBy:(i => randomGenerator.eval(10)).toArray();
console.printLine("before:", list.asEnumerable());
console.printLine("after :", list.countingSort().asEnumerable())
} |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Elixir | Elixir | defmodule Sort do
def counting_sort([]), do: []
def counting_sort(list) do
{min, max} = Enum.min_max(list)
count = Tuple.duplicate(0, max - min + 1)
counted = Enum.reduce(list, count, fn x,acc ->
i = x - min
put_elem(acc, i, elem(acc, i) + 1)
end)
Enum.flat_map(min..max, &List.duplicate(&1, elem(counted, &1 - min)))
end
end
IO.inspect Sort.counting_sort([1,-2,-3,2,1,-5,5,5,4,5,9]) |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Java | Java | 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;
}
}
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #FreeBASIC | FreeBASIC | sub shuffle( a() as long )
dim as ulong n = ubound(a), i, j, k, m = ubound(a)*2
dim as ulong tmp
randomize timer
for k=1 to m
i=int(rnd*n)
j=int(rnd*n)
tmp = a(i)
a(i) = a(j)
a(j) = tmp
next k
end sub
function inorder( a() as long ) as boolean
dim as ulong i, n = ubound(a)
for i = 0 to n-2
if a(i)>a(i+1) then
return false
end if
next i
return true
end function
sub bogosort( a() as long )
while not inorder(a())
shuffle(a())
wend
end sub
dim as long a(5) = {10, 1, 2, -6, 3}
dim as long i
bogosort(a())
for i=0 to ubound(a) - 1
print a(i)
next i |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #360_Assembly | 360 Assembly | * Bubble Sort 01/11/2014 & 23/06/2016
BUBBLE CSECT
USING BUBBLE,R13,R12 establish base registers
SAVEAREA B STM-SAVEAREA(R15) skip savearea
DC 17F'0' my savearea
STM STM R14,R12,12(R13) save calling context
ST R13,4(R15) link mySA->prevSA
ST R15,8(R13) link prevSA->mySA
LR R13,R15 set mySA & set 4K addessability
LA R12,2048(R13) .
LA R12,2048(R12) set 8K addessability
L RN,N n
BCTR RN,0 n-1
DO UNTIL=(LTR,RM,Z,RM) repeat ------------------------+
LA RM,0 more=false |
LA R1,A @a(i) |
LA R2,4(R1) @a(i+1) |
LA RI,1 i=1 |
DO WHILE=(CR,RI,LE,RN) for i=1 to n-1 ------------+ |
L R3,0(R1) a(i) | |
IF C,R3,GT,0(R2) if a(i)>a(i+1) then ---+ | |
L R9,0(R1) r9=a(i) | | |
L R3,0(R2) r3=a(i+1) | | |
ST R3,0(R1) a(i)=r3 | | |
ST R9,0(R2) a(i+1)=r9 | | |
LA RM,1 more=true | | |
ENDIF , end if <---------------+ | |
LA RI,1(RI) i=i+1 | |
LA R1,4(R1) next a(i) | |
LA R2,4(R2) next a(i+1) | |
ENDDO , end for <------------------+ |
ENDDO , until not more <---------------+
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) restore caller savearea
LM R14,R12,12(R13) restore context
XR R15,R15 set return code to 0
BR R14 return to caller
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' '
XDEC DS CL12
LTORG
REGEQU
RI EQU 6 i
RN EQU 7 n-1
RM EQU 8 more
END BUBBLE |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Common_Lisp | Common Lisp | (defun gnome-sort (array predicate &aux (length (length array)))
(do ((position (min 1 length)))
((eql length position) array)
(cond
((eql 0 position)
(incf position))
((funcall predicate
(aref array position)
(aref array (1- position)))
(rotatef (aref array position)
(aref array (1- position)))
(decf position))
(t (incf position))))) |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #BCPL | BCPL | get "libhdr"
let max(A, len) = valof
$( let x = 0
for i=0 to len-1
if x<A!i do x := A!i
resultis x
$)
let beadsort(A, len) be
$( let size = max(A, len)
let tvec = getvec(size-1)
for i=0 to size-1 do tvec!i := 0
for i=0 to len-1
for j=0 to A!i-1 do tvec!j := tvec!j + 1
for i=len-1 to 0 by -1
$( let n = 0
for j=0 to size-1
if tvec!j > 0
$( tvec!j := tvec!j - 1
n := n + 1
$)
A!i := n
$)
freevec(tvec)
$)
let write(s, A, len) be
$( writes(s)
for i=0 to len-1 do writed(A!i, 4)
wrch('*N')
$)
let start() be
$( let array = table 10,1,5,5,9,2,20,6,8,4
let length = 10
write("Before: ", array, length)
beadsort(array, length)
write("After: ", array, length)
$) |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #C | C | #include <stdio.h>
#include <stdlib.h>
void bead_sort(int *a, int len)
{
int i, j, max, sum;
unsigned char *beads;
# define BEAD(i, j) beads[i * max + j]
for (i = 1, max = a[0]; i < len; i++)
if (a[i] > max) max = a[i];
beads = calloc(1, max * len);
/* mark the beads */
for (i = 0; i < len; i++)
for (j = 0; j < a[i]; j++)
BEAD(i, j) = 1;
for (j = 0; j < max; j++) {
/* count how many beads are on each post */
for (sum = i = 0; i < len; i++) {
sum += BEAD(i, j);
BEAD(i, j) = 0;
}
/* mark bottom sum beads */
for (i = len - sum; i < len; i++) BEAD(i, j) = 1;
}
for (i = 0; i < len; i++) {
for (j = 0; j < max && BEAD(i, j); j++);
a[i] = j;
}
free(beads);
}
int main()
{
int i, x[] = {5, 3, 1, 7, 4, 1, 1, 20};
int len = sizeof(x)/sizeof(x[0]);
bead_sort(x, len);
for (i = 0; i < len; i++)
printf("%d\n", x[i]);
return 0;
} |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #Arturo | Arturo | trySwap: function [arr,i][
if arr\[i] < arr\[i-1] [
tmp: arr\[i]
arr\[i]: arr\[i-1]
arr\[i-1]: tmp
return null
]
return true
]
cocktailSort: function [items][
t: false
l: size items
while [not? t][
t: true
loop 1..dec l 'i [
if null? trySwap items i ->
t: false
]
if t -> break
loop (l-1)..1 'i [
if null? trySwap items i ->
t: false
]
]
return items
]
print cocktailSort [3 1 2 8 5 7 9 4 6] |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Fortran | Fortran | module CountingSort
implicit none
interface counting_sort
module procedure counting_sort_mm, counting_sort_a
end interface
contains
subroutine counting_sort_a(array)
integer, dimension(:), intent(inout) :: array
call counting_sort_mm(array, minval(array), maxval(array))
end subroutine counting_sort_a
subroutine counting_sort_mm(array, tmin, tmax)
integer, dimension(:), intent(inout) :: array
integer, intent(in) :: tmin, tmax
integer, dimension(tmin:tmax) :: cnt
integer :: i, z
cnt = 0 ! Initialize to zero to prevent false counts
FORALL (I=1:size(array)) ! Not sure that this gives any benefit over a DO loop.
cnt(array(i)) = cnt(array(i))+1
END FORALL
!
! ok - cnt contains the frequency of every value
! let's unwind them into the original array
!
z = 1
do i = tmin, tmax
do while ( cnt(i) > 0 )
array(z) = i
z = z + 1
cnt(i) = cnt(i) - 1
end do
end do
end subroutine counting_sort_mm
end module CountingSort |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #JavaScript | 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);
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Gambas | Gambas | Public Sub Main()
Dim sSorted As String = "123456789" 'The desired outcome
Dim sTest, sChr As String 'Various strings
Dim iCounter As Integer 'Loop counter
Do
Inc iCounter 'Increase counter value
Repeat 'Repeat
sChr = Chr(Rand(49, 57)) 'Get a random number and convert it to a character e.g. 49="1"
If Not InStr(sTest, sChr) Then sTest &= sChr 'If the random character is not in sTest then add it
Until Len(sTest) = 9 'Loop until sTest has 9 characters
Print sTest 'Print the string to test
If sTest = sSorted Then Break 'If sTest = sSorted then get out of the loop
sTest = "" 'Empty sTest and try again
Loop
Print "Solved in " & Str(iCounter) & " loops" 'Print the result
End |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #6502_Assembly | 6502 Assembly | define z_HL $00
define z_L $00
define z_H $01
define temp $02
define temp2 $03
set_table:
dex
txa
sta $1200,y
iny
bne set_table ;stores $ff at $1200, $fe at $1201, etc.
lda #$12
sta z_H
lda #$00
sta z_L
lda #0
tax
tay ;clear regs
JSR BUBBLESORT
BRK
BUBBLESORT:
lda (z_HL),y
sta temp
iny ;look at the next item
lda (z_HL),y
dey ;go back 1 to the "current item"
sta temp2
cmp temp
bcs doNothing
;we had to re-arrange an item.
lda temp
iny
sta (z_HL),y ;store the higher value at base+y+1
inx ;sort count. If zero at the end, we're done.
dey
lda temp2
sta (z_HL),y ;store the lower value at base+y
doNothing:
iny
cpy #$ff
bne BUBBLESORT
ldy #0
txa ;check the value of the counter
beq DoneSorting
ldx #0 ;reset the counter
jmp BUBBLESORT
DoneSorting:
rts |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #D | D | import std.stdio, std.algorithm;
void gnomeSort(T)(T arr) {
int i = 1, j = 2;
while (i < arr.length) {
if (arr[i-1] <= arr[i]) {
i = j;
j++;
} else {
swap(arr[i-1], arr[i]);
i--;
if (i == 0) {
i = j;
j++;
}
}
}
}
void main() {
auto a = [3,4,2,5,1,6];
gnomeSort(a);
writeln(a);
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #C.2B.2B | C++ | //this algorithm only works with positive, whole numbers.
//O(2n) time complexity where n is the summation of the whole list to be sorted.
//O(3n) space complexity.
#include <iostream>
#include <vector>
using std::cout;
using std::vector;
void distribute(int dist, vector<int> &List) {
//*beads* go down into different buckets using gravity (addition).
if (dist > List.size() )
List.resize(dist); //resize if too big for current vector
for (int i=0; i < dist; i++)
List[i]++;
}
vector<int> beadSort(int *myints, int n) {
vector<int> list, list2, fifth (myints, myints + n);
cout << "#1 Beads falling down: ";
for (int i=0; i < fifth.size(); i++)
distribute (fifth[i], list);
cout << '\n';
cout << "\nBeads on their sides: ";
for (int i=0; i < list.size(); i++)
cout << " " << list[i];
cout << '\n';
//second part
cout << "#2 Beads right side up: ";
for (int i=0; i < list.size(); i++)
distribute (list[i], list2);
cout << '\n';
return list2;
}
int main() {
int myints[] = {734,3,1,24,324,324,32,432,42,3,4,1,1};
vector<int> sorted = beadSort(myints, sizeof(myints)/sizeof(int));
cout << "Sorted list/array: ";
for(unsigned int i=0; i<sorted.size(); i++)
cout << sorted[i] << ' ';
} |
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #AutoHotkey | AutoHotkey | MsgBox % CocktailSort("")
MsgBox % CocktailSort("xxx")
MsgBox % CocktailSort("3,2,1")
MsgBox % CocktailSort("dog,000000,xx,cat,pile,abcde,1,cat,zz,xx,z")
CocktailSort(var) { ; SORT COMMA SEPARATED LIST
StringSplit array, var, `, ; make array
i0 := 1, i1 := array0 ; start, end
Loop { ; break when sorted
Changed =
Loop % i1-- -i0 { ; last entry will be in place
j := i0+A_Index, i := j-1
If (array%j% < array%i%) ; swap?
t := array%i%, array%i% := array%j%, array%j% := t
,Changed = 1 ; change has happened
}
IfEqual Changed,, Break
Loop % i1-i0++ { ; first entry will be in place
i := i1-A_Index, j := i+1
If (array%j% < array%i%) ; swap?
t := array%i%, array%i% := array%j%, array%j% := t
,Changed = 1 ; change has happened
}
IfEqual Changed,, Break
}
Loop % array0 ; construct string from sorted array
sorted .= "," . array%A_Index%
Return SubStr(sorted,2) ; drop leading comma
} |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #FreeBASIC | FreeBASIC | ' FB 1.05.0 Win64
Function findMax(array() As Integer) As Integer
Dim length As Integer = UBound(array) - LBound(array) + 1
If length = 0 Then Return 0 '' say
If length = 1 Then Return array(LBound(array))
Dim max As Integer = LBound(array)
For i As Integer = LBound(array) + 1 To UBound(array)
If array(i) > max Then max = array(i)
Next
Return max
End Function
Function findMin(array() As Integer) As Integer
Dim length As Integer = UBound(array) - LBound(array) + 1
If length = 0 Then Return 0 '' say
If length = 1 Then Return array(LBound(array))
Dim min As Integer = LBound(array)
For i As Integer = LBound(array) + 1 To UBound(array)
If array(i) < min Then min = array(i)
Next
Return min
End Function
Sub countingSort(array() As Integer, min As Integer, max As Integer)
Dim count(0 To max - min) As Integer '' all zero by default
Dim As Integer number, z
For i As Integer = LBound(array) To UBound(array)
number = array(i)
count(number - min) += 1
Next
z = LBound(array)
For i As Integer = min To max
While count(i - min) > 0
array(z) = i
z += 1
count(i - min) -= 1
Wend
Next
End Sub
Sub printArray(array() As Integer)
For i As Integer = LBound(array) To UBound(array)
Print Using "####"; array(i);
Next
Print
End Sub
Dim array(1 To 10) As Integer = {4, 65, 2, -31, 0, 99, 2, 83, 782, 1} '' using BBC BASIC example array
Print "Unsorted : ";
printArray(array())
Dim max As Integer = findMax(array())
Dim min As Integer = findMin(array())
countingSort array(), min, max
Print "Sorted : ";
printArray(array())
Print
Print "Press any key to quit"
Sleep |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #jq | jq | # 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] ; |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Go | Go | package main
import (
"fmt"
"math/rand"
"sort"
"time"
)
func main() {
list := []int{31, 41, 59, 26, 53, 58, 97, 93, 23, 84}
rand.Seed(time.Now().UnixNano())
fmt.Println("unsorted:", list)
temp := make([]int, len(list))
copy(temp, list)
for !sort.IntsAreSorted(temp) {
for i, v := range rand.Perm(len(list)) {
temp[i] = list[v]
}
}
fmt.Println("sorted! ", temp)
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #AArch64_Assembly | AArch64 Assembly |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program bubbleSort64.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 bubbleSort
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
/******************************************************************/
/* bubble sort */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the first element */
/* x2 contains the number of element */
bubbleSort:
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 x2,x2,1 // compute i = n - 1
add x8,x1,1
1: // start loop 1
mov x3,x1 // start index
mov x9,0
sub x7,x2,1
2: // start loop 2
add x4,x3,1
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 x9,1 // top table not sorted
3:
add x3,x3,1 // increment index j
cmp x3,x7 // end ?
ble 2b // no -> loop 2
cmp x9,0 // table sorted ?
beq 100f // yes -> end
sub x2,x2,1 // decrement i
cmp x2,x8 // end ?
bge 1b // no -> 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 conversion10 // 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
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"
|
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #Delphi | Delphi | program TestGnomeSort;
{$APPTYPE CONSOLE}
{.$DEFINE DYNARRAY} // remove '.' to compile with dynamic array
type
TItem = Integer; // declare ordinal type for array item
{$IFDEF DYNARRAY}
TArray = array of TItem; // dynamic array
{$ELSE}
TArray = array[0..15] of TItem; // static array
{$ENDIF}
procedure GnomeSort(var A: TArray);
var
Item: TItem;
I, J: Integer;
begin
I:= Low(A) + 1;
J:= Low(A) + 2;
while I <= High(A) do begin
if A[I - 1] <= A[I] then begin
I:= J;
J:= J + 1;
end
else begin
Item:= A[I - 1];
A[I - 1]:= A[I];
A[I]:= Item;
I:= I - 1;
if I = Low(A) then begin
I:= J;
J:= J + 1;
end;
end;
end;
end;
var
A: TArray;
I: Integer;
begin
{$IFDEF DYNARRAY}
SetLength(A, 16);
{$ENDIF}
for I:= Low(A) to High(A) do
A[I]:= Random(100);
for I:= Low(A) to High(A) do
Write(A[I]:3);
Writeln;
GnomeSort(A);
for I:= Low(A) to High(A) do
Write(A[I]:3);
Writeln;
Readln;
end. |
http://rosettacode.org/wiki/Sorting_algorithms/Bead_sort | Sorting algorithms/Bead sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array of positive integers using the Bead Sort Algorithm.
A bead sort is also known as a gravity sort.
Algorithm has O(S), where S is the sum of the integers in the input set: Each bead is moved individually.
This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.
| #Clojure | Clojure | (defn transpose [xs]
(loop [ret [], remain xs]
(if (empty? remain)
ret
(recur (conj ret (map first remain))
(filter not-empty (map rest remain))))))
(defn bead-sort [xs]
(->> xs
(map #(repeat % 1))
transpose
transpose
(map #(reduce + %))))
;; This algorithm does not work if collection has zero
(-> [5 2 4 1 3 3 9] bead-sort println)
|
http://rosettacode.org/wiki/Sorting_algorithms/Cocktail_sort | Sorting algorithms/Cocktail sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Cocktail sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
The cocktail shaker sort is an improvement on the Bubble Sort.
The improvement is basically that values "bubble" both directions through the array, because on each iteration the cocktail shaker sort bubble sorts once forwards and once backwards. Pseudocode for the algorithm (from wikipedia):
function cocktailSort( A : list of sortable items )
do
swapped := false
for each i in 0 to length( A ) - 2 do
if A[ i ] > A[ i+1 ] then // test whether the two
// elements are in the wrong
// order
swap( A[ i ], A[ i+1 ] ) // let the two elements
// change places
swapped := true;
if swapped = false then
// we can exit the outer loop here if no swaps occurred.
break do-while loop;
swapped := false
for each i in length( A ) - 2 down to 0 do
if A[ i ] > A[ i+1 ] then
swap( A[ i ], A[ i+1 ] )
swapped := true;
while swapped; // if no elements have been swapped,
// then the list is sorted
Related task
cocktail sort with shifting bounds
| #AWK | AWK | {
line[NR] = $0
}
END { # sort it with cocktail sort
swapped = 0
do {
for(i=1; i < NR; i++) {
if ( line[i] > line[i+1] ) {
t = line[i]
line[i] = line[i+1]
line[i+1] = t
swapped = 1
}
}
if ( swapped == 0 ) break
swapped = 0
for(i=NR-1; i >= 1; i--) {
if ( line[i] > line[i+1] ) {
t = line[i]
line[i] = line[i+1]
line[i+1] = t
swapped = 1
}
}
} while ( swapped == 1 )
#print it
for(i=1; i <= NR; i++) {
print line[i]
}
} |
http://rosettacode.org/wiki/Sorting_algorithms/Counting_sort | Sorting algorithms/Counting sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Counting sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Task
Implement the Counting sort. This is a way of sorting integers when the minimum and maximum value are known.
Pseudocode
function countingSort(array, min, max):
count: array of (max - min + 1) elements
initialize count with 0
for each number in array do
count[number - min] := count[number - min] + 1
done
z := 0
for i from min to max do
while ( count[i - min] > 0 ) do
array[z] := i
z := z+1
count[i - min] := count[i - min] - 1
done
done
The min and max can be computed apart, or be known a priori.
Note: we know that, given an array of integers, its maximum and minimum values can be always found; but if we imagine the worst case for an array that can hold up to 32 bit integers, we see that in order to hold the counts, an array of up to 232 elements may be needed. I.E.: we need to hold a count value up to 232-1, which is a little over 4.2 Gbytes. So the counting sort is more practical when the range is (very) limited, and minimum and maximum values are known a priori. (However, as a counterexample, the use of sparse arrays minimizes the impact of the memory usage, as well as removing the need of having to know the minimum and maximum values a priori.)
| #Go | Go | package main
import (
"fmt"
"runtime"
"strings"
)
var a = []int{170, 45, 75, -90, -802, 24, 2, 66}
var aMin, aMax = -1000, 1000
func main() {
fmt.Println("before:", a)
countingSort(a, aMin, aMax)
fmt.Println("after: ", a)
}
func countingSort(a []int, aMin, aMax int) {
defer func() {
if x := recover(); x != nil {
// one error we'll handle and print a little nicer message
if _, ok := x.(runtime.Error); ok &&
strings.HasSuffix(x.(error).Error(), "index out of range") {
fmt.Printf("data value out of range (%d..%d)\n", aMin, aMax)
return
}
// anything else, we re-panic
panic(x)
}
}()
count := make([]int, aMax-aMin+1)
for _, x := range a {
count[x-aMin]++
}
z := 0
// optimization over task pseudocode: variable c is used instead of
// count[i-min]. This saves some unneccessary calculations.
for i, c := range count {
for ; c > 0; c-- {
a[z] = i + aMin
z++
}
}
} |
http://rosettacode.org/wiki/Sort_using_a_custom_comparator | Sort using a custom comparator |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Sort an array (or list) of strings in order of descending length, and in ascending lexicographic order for strings of equal length.
Use a sorting facility provided by the language/library, combined with your own callback comparison function.
Note: Lexicographic order is case-insensitive.
| #11l | 11l | V strings = ‘here are Some sample strings to be sorted’.split(‘ ’)
print(sorted(strings, key' x -> (-x.len, x.uppercase()))) |
http://rosettacode.org/wiki/Sorting_algorithms/Comb_sort | Sorting algorithms/Comb sort | 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:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
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
(
1
−
e
−
φ
)
−
1
≈
1.247330950103979
{\displaystyle (1-e^{-\varphi })^{-1}\approx 1.247330950103979}
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
| #Julia | 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) |
http://rosettacode.org/wiki/Sorting_algorithms/Bogosort | Sorting algorithms/Bogosort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
while not InOrder(list) do
Shuffle(list)
done
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
| #Groovy | Groovy | def bogosort = { list ->
def n = list.size()
while (n > 1 && (1..<n).any{ list[it-1] > list[it] }) {
print '.'*n
Collections.shuffle(list)
}
list
} |
http://rosettacode.org/wiki/Sorting_algorithms/Bubble_sort | Sorting algorithms/Bubble sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
A bubble sort is generally considered to be the simplest sorting algorithm.
A bubble sort is also known as a sinking sort.
Because of its simplicity and ease of visualization, it is often taught in introductory computer science courses.
Because of its abysmal O(n2) performance, it is not used often for large (or even medium-sized) datasets.
The bubble sort works by passing sequentially over a list, comparing each value to the one immediately after it. If the first value is greater than the second, their positions are switched. Over a number of passes, at most equal to the number of elements in the list, all of the values drift into their correct positions (large values "bubble" rapidly toward the end, pushing others down around them).
Because each pass finds the maximum item and puts it at the end, the portion of the list to be sorted can be reduced at each pass.
A boolean variable is used to track whether any changes have been made in the current pass; when a pass completes without changing anything, the algorithm exits.
This can be expressed in pseudo-code as follows (assuming 1-based indexing):
repeat
if itemCount <= 1
return
hasChanged := false
decrement itemCount
repeat with index from 1 to itemCount
if (item at index) > (item at (index + 1))
swap (item at index) with (item at (index + 1))
hasChanged := true
until hasChanged = false
Task
Sort an array of elements using the bubble sort algorithm. The elements must have a total order and the index of the array can be of any discrete type. For languages where this is not possible, sort an array of integers.
References
The article on Wikipedia.
Dance interpretation.
| #ACL2 | ACL2 | (defun bubble (xs)
(if (endp (rest xs))
(mv nil xs)
(let ((x1 (first xs))
(x2 (second xs)))
(if (> x1 x2)
(mv-let (_ ys)
(bubble (cons x1 (rest (rest xs))))
(declare (ignore _))
(mv t (cons x2 ys)))
(mv-let (has-changed ys)
(bubble (rest xs))
(mv has-changed (cons x1 ys)))))))
(defun bsort-r (xs limit)
(declare (xargs :measure (nfix limit)))
(if (zp limit)
xs
(mv-let (has-changed ys)
(bubble xs)
(if has-changed
(bsort-r ys (1- limit))
ys))))
(defun bsort (xs)
(bsort-r xs (len xs))) |
http://rosettacode.org/wiki/Sorting_algorithms/Gnome_sort | Sorting algorithms/Gnome sort |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
This page uses content from Wikipedia. The original article was at Gnome sort. The list of authors can be seen in the page history. As with Rosetta Code, the text of Wikipedia is available under the GNU FDL. (See links for details on variance)
Gnome sort is a sorting algorithm which is similar to Insertion sort, except that moving an element to its proper place is accomplished by a series of swaps, as in Bubble Sort.
The pseudocode for the algorithm is:
function gnomeSort(a[0..size-1])
i := 1
j := 2
while i < size do
if a[i-1] <= a[i] then
// for descending sort, use >= for comparison
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0 then
i := j
j := j + 1
endif
endif
done
Task
Implement the Gnome sort in your language to sort an array (or list) of numbers.
| #DWScript | DWScript | procedure GnomeSort(a : array of Integer);
var
i, j : Integer;
begin
i := 1;
j := 2;
while i < a.Length do begin
if a[i-1] <= a[i] then begin
i := j;
j := j + 1;
end else begin
a.Swap(i-1, i);
i := i - 1;
if i = 0 then begin
i := j;
j := j + 1;
end;
end;
end;
end;
var i : Integer;
var a := new Integer[16];
Print('{');
for i := 0 to a.High do begin
a[i] := i xor 5;
Print(Format('%3d ', [a[i]]));
end;
PrintLn('}');
GnomeSort(a);
Print('{');
for i := 0 to a.High do
Print(Format('%3d ', [a[i]]));
PrintLn('}');
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.