RosettaCodeData/Task/Sorting-algorithms-Comb-sort/00-TASK.txt

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{{Sorting Algorithm}}
;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 &nbsp; <big><math>(1-e^{-\varphi})^{-1} \approx 1.247330950103979</math> </big> &nbsp; works best, but &nbsp; <big> 1.3</big> &nbsp; may be more practical.
Some implementations use the insertion sort once the gap is less than a certain amount.
;Also see:
* &nbsp; the Wikipedia article: &nbsp; [[wp:Comb sort|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). &nbsp; Comb sort with a low gap isn't much better than the Bubble Sort.
<br>
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'''
<br><br>