Sorting algorithms/Gnome sort
You are encouraged to solve this task according to the task description, using any language you may know.
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
Heap sort | Merge sort | Patience sort | Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
| This page uses content from Wikipedia. The original article was at Sorting algorithms/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
if a[i-1] <= a[i] # for descending sort, reverse the comparison to >=
i := j
j := j + 1
else
swap a[i-1] and a[i]
i := i - 1
if i = 0
i := j
j := j + 1
}
Task: implement the Gnome sort in your language to sort an array (or list) of numbers.
ALGOL 68
<lang algol>MODE SORTSTRUCT = CHAR;
PROC inplace gnome sort = (REF[]SORTSTRUCT list)REF[]SORTSTRUCT: BEGIN
INT i:=LWB list + 1, j:=LWB list + 2;
WHILE i <= UPB list DO
IF list[i-1] <= list[i] THEN
i := j; j+:=1
ELSE
SORTSTRUCT swap = list[i-1]; list[i-1]:= list[i]; list[i]:= swap;
i-:=1;
IF i=LWB list THEN i:=j; j+:=1 FI
FI
OD;
list
END;
PROC gnome sort = ([]SORTSTRUCT seq)[]SORTSTRUCT:
in place gnome sort(LOC[LWB seq: UPB seq]SORTSTRUCT:=seq);
[]SORTSTRUCT char array data = "big fjords vex quick waltz nymph"; print((gnome sort(char array data), new line))</lang> Output:
abcdefghiijklmnopqrstuvwxyz
AutoHotkey
contributed by Laszlo on the ahk forum <lang 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
}</lang>
BASIC
<lang qbasic>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</lang>
C
This algorithm sorts in place modifying the passed array (of n integer numbers).
<lang c>#define swap_(I,J) do { int t_; t_ = a[(I)]; \
a[(I)] = a[(J)]; a[(J)] = t_; } while(0)
void gnome_sort(int *a, int n) {
int i=1, j=2;
while(i < n) {
if ( a[i-1] <= a[i] ) {
i = j; j++;
} else {
swap_(i-1, i);
i--;
i = (i==0) ? j++ : i;
}
}
}
- undef swap_</lang>
E
<lang e>def gnomeSort(array) {
var size := array.size()
var i := 1
var j := 2
while (i < size) {
if (array[i-1] <= array[i]) {
i := j
j += 1
} else {
def t := array[i-1]
array[i-1] := array[i]
array[i] := t
i -= 1
if (i <=> 0) {
i := j
j += 1
}
}
}
}</lang>
<lang e>? def a := [7,9,4,2,1,3,6,5,0,8].diverge()
- value: [7, 9, 4, 2, 1, 3, 6, 5, 0, 8].diverge()
? gnomeSort(a) ? a
- value: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9].diverge()</lang>
Fortran
<lang fortran>program example
implicit none integer :: array(8) = (/ 2, 8, 6, 1, 3, 5, 4, 7 /)
call Gnomesort(array) write(*,*) array
contains
subroutine Gnomesort(a)
integer, intent(in out) :: a(:) integer :: i, j, temp
i = 2
j = 3
do while (i <= size(a))
if (a(i-1) <= a(i)) then
i = j
j = j + 1
else
temp = a(i-1)
a(i-1) = a(i)
a(i) = temp
i = i - 1
if (i == 1) then
i = j
j = j + 1
end if
end if
end do
end subroutine Gnomesort
end program example</lang>
Java
<lang java>public static void gnomeSort(int[] a) {
int i=1;
int j=2;
while(i < a.length) {
if ( a[i-1] <= a[i] ) {
i = j; j++;
} else {
int tmp = a[i-1];
a[i-1] = a[i];
a[i--] = tmp;
i = (i==0) ? j++ : i;
}
}
}</lang>
Metafont
<lang metafont>def gnomesort(suffix v)(expr n) = begingroup save i, j, t;
i := 1; j := 2;
forever: exitif not (i < n);
if v[i-1] <= v[i]:
i := j; j := j + 1;
else:
t := v[i-1];
v[i-1] := v[i];
v[i] := t;
i := i - 1;
i := if i=0: j; j := j + 1 else: i fi;
fi
endfor
endgroup enddef;</lang>
<lang metafont>numeric a[]; for i = 0 upto 9: a[i] := uniformdeviate(40); message decimal a[i]; endfor message char10;
gnomesort(a, 10); for i = 0 upto 9: message decimal a[i]; endfor end</lang>
Pascal
<lang pascal>procedure gnomesort(var arr : Array of Integer; size : Integer); var
i, j, t : Integer;
begin
i := 1;
j := 2;
while i < size do begin
if arr[i-1] <= arr[i] then
begin
i := j; j := j + 1
end
else begin
t := arr[i-1]; arr[i-1] := arr[i]; arr[i] := t; i := i - 1; if i = 0 then begin i := j; j := j + 1 end
end end;
end;</lang>
Perl
<lang perl>use strict;
sub gnome_sort {
my @a = @_;
my $size = scalar(@a);
my $i = 1;
my $j = 2;
while($i < $size) {
if ( $a[$i-1] <= $a[$i] ) { $i = $j; $j++; } else { @a[$i, $i-1] = @a[$i-1, $i]; $i--; if ($i == 0) { $i = $j; $j++; } }
} return @a;
}</lang>
<lang perl>my @arr = ( 10, 9, 8, 5, 2, 1, 1, 0, 50, -2 ); print "$_\n" foreach gnome_sort( @arr );</lang>
Python
<lang python>>>> def gnomesort(a): i,j,size = 1,2,len(a) while i < size: if a[i-1] <= a[i]: i,j = j, j+1 else: a[i-1],a[i] = a[i],a[i-1] i -= 1 if i == 0: i,j = j, j+1 return a
>>> gnomesort([3,4,2,5,1,6]) [1, 2, 3, 4, 5, 6] >>> </lang>
Ruby
<lang ruby>class Array
def gnomesort!
i, j = 1, 2
while i < length
if self[i-1] <= self[i]
i, j = j, j+1
else
self[i-1], self[i] = self[i], self[i-1]
i -= 1
if i == 0
i, j = j, j+1
end
end
end
self
end
end ary = [7,6,5,9,8,4,3,1,2,0] ary.gnomesort!
- => [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
</lang>
Smalltalk
<lang smalltalk>Smalltalk at: #gnomesort put: nil.
"Utility" OrderedCollection extend [
swap: a with: b [ |t|
t := self at: a.
self at: a put: b.
self at: b put: t
]
].
"Gnome sort as block closure" gnomesort := [ :c |
|i j|
i := 2. j := 3.
[ i <= (c size) ]
whileTrue: [
(c at: (i-1)) <= (c at: i)
ifTrue: [
i := j copy.
j := j + 1.
]
ifFalse: [
c swap: (i-1) with: i.
i := i - 1.
i == 1
ifTrue: [
i := j copy.
j := j + 1
]
]
]
].</lang>
Testing
<lang smalltalk>|r o| r := Random new. o := OrderedCollection new.
1 to: 10 do: [ :i | o add: (r between: 0 and: 50) ].
gnomesort value: o.
1 to: 10 do: [ :i | (o at: i) displayNl ].</lang>
Tcl
Uses struct::list package from
<lang tcl>package require Tcl 8.5 package require struct::list
proc gnomesort {a} {
set i 1
set j 2
set size [llength $a]
while {$i < $size} {
if {[lindex $a [expr {$i - 1}]] <= [lindex $a $i]} {
set i $j
incr j
} else {
struct::list swap a [expr {$i - 1}] $i
incr i -1
if {$i == 0} {
set i $j
incr j
}
}
}
return $a
}
puts [gnomesort {8 6 4 2 1 3 5 7 9}] ;# => 1 2 3 4 5 6 7 8 9</lang>