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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.)
| #Kotlin | Kotlin | // version 1.1.0
fun countingSort(array: IntArray) {
if (array.isEmpty()) return
val min = array.min()!!
val max = array.max()!!
val count = IntArray(max - min + 1) // all elements zero by default
for (number in array) count[number - min]++
var z = 0
for (i in min..max)
while (count[i - min] > 0) {
array[z++] = i
count[i - min]--
}
}
fun main(args: Array<String>) {
val array = intArrayOf(4, 65, 2, -31, 0, 99, 2, 83, 782, 1)
println("Original : ${array.asList()}")
countingSort(array)
println("Sorted : ${array.asList()}")
} |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #BaCon | BaCon | CONST n = 13
FOR x = 1 TO n
result$ = APPEND$(result$, 0, STR$(x))
NEXT
PRINT SORT$(result$) |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
Sorting Algorithm
This is a sorting algorithm. It may be applied to a set of data in order to sort it.
For comparing various sorts, see compare sorts.
For other sorting algorithms, see sorting algorithms, or:
O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort
Task
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #BBC_BASIC | BBC BASIC | N%=13
PRINT "[" LEFT$(FNLexOrder(0)) "]"
END
DEF FNLexOrder(nr%) : LOCAL i%, s$
FOR i%=nr% TO nr% + 9
IF i% > N% EXIT FOR
IF i% > 0 s$+=STR$i% + "," + FNLexOrder(i% * 10)
NEXT
=s$ |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #C | C | #include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int compareStrings(const void *a, const void *b) {
const char **aa = (const char **)a;
const char **bb = (const char **)b;
return strcmp(*aa, *bb);
}
void lexOrder(int n, int *ints) {
char **strs;
int i, first = 1, last = n, k = n, len;
if (n < 1) {
first = n; last = 1; k = 2 - n;
}
strs = malloc(k * sizeof(char *));
for (i = first; i <= last; ++i) {
if (i >= 1) len = (int)log10(i) + 2;
else if (i == 0) len = 2;
else len = (int)log10(-i) + 3;
strs[i-first] = malloc(len);
sprintf(strs[i-first], "%d", i);
}
qsort(strs, k, sizeof(char *), compareStrings);
for (i = 0; i < k; ++i) {
ints[i] = atoi(strs[i]);
free(strs[i]);
}
free(strs);
}
int main() {
int i, j, k, n, *ints;
int numbers[5] = {0, 5, 13, 21, -22};
printf("In lexicographical order:\n\n");
for (i = 0; i < 5; ++i) {
k = n = numbers[i];
if (k < 1) k = 2 - k;
ints = malloc(k * sizeof(int));
lexOrder(n, ints);
printf("%3d: [", n);
for (j = 0; j < k; ++j) {
printf("%d ", ints[j]);
}
printf("\b]\n");
free(ints);
}
return 0;
} |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #C.23 | C# | using System;
public class Program
{
public static void Main()
{
(int x, int y, int z) = (77444, -12, 0);
//Sort directly:
if (x > y) (x, y) = (y, x);
if (x > z) (x, z) = (z, x);
if (y > z) (y, z) = (z, y);
Console.WriteLine((x, y, z));
var (a, b, c) = (
"lions, tigers, and",
"bears, oh my!",
"(from the 'Wizard of OZ')");
//Sort with generic method:
Sort(ref a, ref b, ref c);
Console.WriteLine((a, b, c));
}
public static void Sort<T>(ref T a, ref T b, ref T c)
where T : IComparable<T>
{
if (a.CompareTo(b) > 0) (a, b) = (b, a);
if (a.CompareTo(c) > 0) (a, c) = (c, a);
if (b.CompareTo(c) > 0) (b, c) = (c, b);
}
} |
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.
| #C.23 | C# | using System;
using System.Collections.Generic;
namespace RosettaCode {
class SortCustomComparator {
// Driver program
public void CustomSort() {
String[] items = { "Here", "are", "some", "sample", "strings", "to", "be", "sorted" };
List<String> list = new List<string>(items);
DisplayList("Unsorted", list);
list.Sort(CustomCompare);
DisplayList("Descending Length", list);
list.Sort();
DisplayList("Ascending order", list);
}
// Custom compare
public int CustomCompare(String x, String y) {
int result = -x.Length.CompareTo(y.Length);
if (result == 0) {
result = x.ToLower().CompareTo(y.ToLower());
}
return result;
}
// Output routine
public void DisplayList(String header, List<String> theList) {
Console.WriteLine(header);
Console.WriteLine("".PadLeft(header.Length, '*'));
foreach (String str in theList) {
Console.WriteLine(str);
}
Console.WriteLine();
}
}
} |
http://rosettacode.org/wiki/Sort_an_outline_at_every_level | Sort an outline at every level | Task
Write and test a function over an indented plain text outline which either:
Returns a copy of the outline in which the sub-lists at every level of indentation are sorted, or
reports that the indentation characters or widths are not consistent enough to make the outline structure clear.
Your code should detect and warn of at least two types of inconsistent indentation:
inconsistent use of whitespace characters (e.g. mixed use of tabs and spaces)
inconsistent indent widths. For example, an indentation with an odd number of spaces in an outline in which the unit indent appears to be 2 spaces, or 4 spaces.
Your code should be able to detect and handle both tab-indented, and space-indented (e.g. 4 space, 2 space etc) outlines, without being given any advance warning of the indent characters used, or the size of the indent units.
You should also be able to specify different types of sort, for example, as a minimum, both ascending and descending lexical sorts.
Your sort should not alter the type or size of the indentation units used in the input outline.
(For an application of Indent Respectful Sort, see the Sublime Text package of that name. The Python source text [1] is available for inspection on Github).
Tests
Sort every level of the (4 space indented) outline below lexically, once ascending and once descending.
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
Do the same with a tab-indented equivalent of the same outline.
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
The output sequence of an ascending lexical sort of each level should be:
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
The output sequence of a descending lexical sort of each level should be:
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
Attempt to separately sort each of the following two outlines, reporting any inconsistencies detected in their indentations by your validation code.
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
Related tasks
Functional_coverage_tree
Display_an_outline_as_a_nested_table
| #Python | Python | '''Sort an outline at every level'''
from itertools import chain, product, takewhile, tee
from functools import cmp_to_key, reduce
# ------------- OUTLINE SORTED AT EVERY LEVEL --------------
# sortedOutline :: (Tree String -> Tree String -> Ordering)
# -> String
# -> Either String String
def sortedOutline(cmp):
'''Either a message reporting inconsistent
indentation, or an outline sorted at every
level by the supplied comparator function.
'''
def go(outlineText):
indentTuples = indentTextPairs(
outlineText.splitlines()
)
return bindLR(
minimumIndent(enumerate(indentTuples))
)(lambda unitIndent: Right(
outlineFromForest(
unitIndent,
nest(foldTree(
lambda x: lambda xs: Node(x)(
sorted(xs, key=cmp_to_key(cmp))
)
)(Node('')(
forestFromIndentLevels(
indentLevelsFromLines(
unitIndent
)(indentTuples)
)
)))
)
))
return go
# -------------------------- TEST --------------------------
# main :: IO ()
def main():
'''Ascending and descending sorts attempted on
space-indented and tab-indented outlines, both
well-formed and ill-formed.
'''
ascending = comparing(root)
descending = flip(ascending)
spacedOutline = '''
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon'''
tabbedOutline = '''
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon'''
confusedOutline = '''
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu'''
raggedOutline = '''
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon'''
def displaySort(kcmp):
'''Sort function output with labelled comparator
for a set of four labelled outlines.
'''
k, cmp = kcmp
return [
tested(cmp, k, label)(
outline
) for (label, outline) in [
('4-space indented', spacedOutline),
('tab indented', tabbedOutline),
('Unknown 1', confusedOutline),
('Unknown 2', raggedOutline)
]
]
def tested(cmp, cmpName, outlineName):
'''Print either message or result.
'''
def go(outline):
print('\n' + outlineName, cmpName + ':')
either(print)(print)(
sortedOutline(cmp)(outline)
)
return go
# Tests applied to two comparators:
ap([
displaySort
])([
("(A -> Z)", ascending),
("(Z -> A)", descending)
])
# ------------- OUTLINE PARSING AND RENDERING --------------
# forestFromIndentLevels :: [(Int, a)] -> [Tree a]
def forestFromIndentLevels(tuples):
'''A list of trees derived from a list of values paired
with integers giving their levels of indentation.
'''
def go(xs):
if xs:
intIndent, v = xs[0]
firstTreeLines, rest = span(
lambda x: intIndent < x[0]
)(xs[1:])
return [Node(v)(go(firstTreeLines))] + go(rest)
else:
return []
return go(tuples)
# indentLevelsFromLines :: String -> [(String, String)]
# -> [(Int, String)]
def indentLevelsFromLines(indentUnit):
'''Each input line stripped of leading
white space, and tupled with a preceding integer
giving its level of indentation from 0 upwards.
'''
def go(xs):
w = len(indentUnit)
return [
(len(x[0]) // w, x[1])
for x in xs
]
return go
# indentTextPairs :: [String] -> (String, String)
def indentTextPairs(xs):
'''A list of (indent, bodyText) pairs.'''
def indentAndText(s):
pfx = list(takewhile(lambda c: c.isspace(), s))
return (pfx, s[len(pfx):])
return [indentAndText(x) for x in xs]
# outlineFromForest :: String -> [Tree String] -> String
def outlineFromForest(tabString, forest):
'''An indented outline serialisation of forest,
using tabString as the unit of indentation.
'''
def go(indent):
def serial(node):
return [indent + root(node)] + list(
concatMap(
go(tabString + indent)
)(nest(node))
)
return serial
return '\n'.join(
concatMap(go(''))(forest)
)
# --------------- MINIMUM INDENT, OR ANOMALY ---------------
# minimumIndent :: [(Int, [Char])]
# -> Either String String
def minimumIndent(indexedPrefixes):
'''Either a message, if indentation characters are
mixed, or indentation widths are inconsistent,
or the smallest consistent non-empty indentation.
'''
(xs, ts) = tee(indexedPrefixes)
(ys, zs) = tee(ts)
def mindentLR(charSet):
if list(charSet):
def w(x):
return len(x[1][0])
unit = min(filter(w, ys), key=w)[1][0]
unitWidth = len(unit)
def widthCheck(a, ix):
'''Is there a line number at which
an anomalous indent width is seen?
'''
wx = len(ix[1][0])
return a if (a or 0 == wx) else (
ix[0] if 0 != wx % unitWidth else a
)
oddLine = reduce(widthCheck, zs, None)
return Left(
'Inconsistent indentation width at line ' + (
str(1 + oddLine)
)
) if oddLine else Right(''.join(unit))
else:
return Right('')
def tabSpaceCheck(a, ics):
'''Is there a line number at which a
variant indent character is used?
'''
charSet = a[0].union(set(ics[1][0]))
return a if a[1] else (
charSet, ics[0] if 1 < len(charSet) else None
)
indentCharSet, mbAnomalyLine = reduce(
tabSpaceCheck, xs, (set([]), None)
)
return bindLR(
Left(
'Mixed indent characters found in line ' + str(
1 + mbAnomalyLine
)
) if mbAnomalyLine else Right(list(indentCharSet))
)(mindentLR)
# ------------------------ GENERIC -------------------------
# Left :: a -> Either a b
def Left(x):
'''Constructor for an empty Either (option type) value
with an associated string.
'''
return {'type': 'Either', 'Right': None, 'Left': x}
# Right :: b -> Either a b
def Right(x):
'''Constructor for a populated Either (option type) value'''
return {'type': 'Either', 'Left': None, 'Right': x}
# Node :: a -> [Tree a] -> Tree a
def Node(v):
'''Constructor for a Tree node which connects a
value of some kind to a list of zero or
more child trees.
'''
return lambda xs: {'type': 'Tree', 'root': v, 'nest': xs}
# ap (<*>) :: [(a -> b)] -> [a] -> [b]
def ap(fs):
'''The application of each of a list of functions,
to each of a list of values.
'''
def go(xs):
return [
f(x) for (f, x)
in product(fs, xs)
]
return go
# bindLR (>>=) :: Either a -> (a -> Either b) -> Either b
def bindLR(m):
'''Either monad injection operator.
Two computations sequentially composed,
with any value produced by the first
passed as an argument to the second.
'''
def go(mf):
return (
mf(m.get('Right')) if None is m.get('Left') else m
)
return go
# comparing :: (a -> b) -> (a -> a -> Ordering)
def comparing(f):
'''An ordering function based on
a property accessor f.
'''
def go(x, y):
fx = f(x)
fy = f(y)
return -1 if fx < fy else (1 if fx > fy else 0)
return go
# concatMap :: (a -> [b]) -> [a] -> [b]
def concatMap(f):
'''A concatenated list over which a function has been mapped.
The list monad can be derived by using a function f which
wraps its output in a list,
(using an empty list to represent computational failure).
'''
def go(xs):
return chain.from_iterable(map(f, xs))
return go
# either :: (a -> c) -> (b -> c) -> Either a b -> c
def either(fl):
'''The application of fl to e if e is a Left value,
or the application of fr to e if e is a Right value.
'''
return lambda fr: lambda e: fl(e['Left']) if (
None is e['Right']
) else fr(e['Right'])
# flip :: (a -> b -> c) -> b -> a -> c
def flip(f):
'''The binary function f with its
arguments reversed.
'''
return lambda a, b: f(b, a)
# foldTree :: (a -> [b] -> b) -> Tree a -> b
def foldTree(f):
'''The catamorphism on trees. A summary
value defined by a depth-first fold.
'''
def go(node):
return f(root(node))([
go(x) for x in nest(node)
])
return go
# nest :: Tree a -> [Tree a]
def nest(t):
'''Accessor function for children of tree node.'''
return t.get('nest')
# root :: Tree a -> a
def root(t):
'''Accessor function for data of tree node.'''
return t.get('root')
# span :: (a -> Bool) -> [a] -> ([a], [a])
def span(p):
'''The longest (possibly empty) prefix of xs
that contains only elements satisfying p,
tupled with the remainder of xs.
span p xs is equivalent to
(takeWhile p xs, dropWhile p xs).
'''
def match(ab):
b = ab[1]
return not b or not p(b[0])
def f(ab):
a, b = ab
return a + [b[0]], b[1:]
def go(xs):
return until(match)(f)(([], xs))
return go
# until :: (a -> Bool) -> (a -> a) -> a -> a
def until(p):
'''The result of repeatedly applying f until p holds.
The initial seed value is x.
'''
def go(f):
def g(x):
v = x
while not p(v):
v = f(v)
return v
return g
return go
# MAIN ---
if __name__ == '__main__':
main() |
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
| #Nim | Nim | proc combSort[T](a: var openarray[T]) =
var gap = a.len
var swapped = true
while gap > 1 or swapped:
gap = gap * 10 div 13
if gap == 9 or gap == 10: gap = 11
if gap < 1: gap = 1
swapped = false
var i = 0
for j in gap ..< a.len:
if a[i] > a[j]:
swap a[i], a[j]
swapped = true
inc i
var a = @[4, 65, 2, -31, 0, 99, 2, 83, 782]
combSort a
echo a |
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.
| #Lua | Lua | function bogosort (list)
if type (list) ~= 'table' then return list end
-- Fisher-Yates Knuth shuffle
local function shuffle ()
local rand = math.random(1,#list)
for i=1,#list do
list[i],list[rand] = list[rand],list[i]
rand = math.random(1,#list)
end
end
-- Returns true only if list is now sorted
local function in_order ()
local last = list[1]
for i,v in next,list do
if v < last then return false end
last = v
end
return true
end
while not in_order() do shuffle() end
return list
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.
| #ARM_Assembly | ARM Assembly |
/* ARM assembly Raspberry PI */
/* program bubbleSort.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 bubbleSort
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
/******************************************************************/
/* bubble sort */
/******************************************************************/
/* r0 contains the address of table */
/* r1 contains the first element */
/* r2 contains the number of element */
bubbleSort:
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
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
sub r2,r2,#1 @ decrement i
cmp r2,r8 @ end ?
bge 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 conversion10 @ décimal conversion
ldr r0,iAdrsMessResult
ldr r1,iAdrsZoneConv @ insert conversion
bl strInsertAtCharInc
bl affichageMess @ display message
add r3,#1
cmp r3,#NBELEMENTS - 1
ble 1b
ldr r0,iAdrszCarriageReturn
bl affichageMess
100:
pop {r0-r3,lr}
bx lr
iAdrsZoneConv: .int sZoneConv
/***************************************************/
/* ROUTINES INCLUDE */
/***************************************************/
.include "../affichage.inc"
|
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.
| #Fantom | Fantom |
class Main
{
Int[] gnomesort (Int[] list)
{
i := 1
j := 2
while (i < list.size)
{
if (list[i-1] <= list[i])
{
i = j
j += 1
}
else
{
list.swap(i-1, i)
i -= 1
if (i == 0)
{
i = j
j += 1
}
}
}
return list
}
Void main ()
{
list := [4,1,5,8,2,1,5,7]
echo ("" + list + " sorted is " + gnomesort (list))
}
}
|
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.
| #Go | Go | package main
import (
"fmt"
"sync"
)
var a = []int{170, 45, 75, 90, 802, 24, 2, 66}
var aMax = 1000
const bead = 'o'
func main() {
fmt.Println("before:", a)
beadSort()
fmt.Println("after: ", a)
}
func beadSort() {
// All space in the abacus = aMax poles x len(a) rows.
all := make([]byte, aMax*len(a))
// Slice up space by pole. (The space could be sliced by row instead,
// but slicing by pole seemed a more intuitive model of a physical abacus.)
abacus := make([][]byte, aMax)
for pole, space := 0, all; pole < aMax; pole++ {
abacus[pole] = space[:len(a)]
space = space[len(a):]
}
// Use a sync.Waitgroup as the checkpoint mechanism.
var wg sync.WaitGroup
// Place beads for each number concurrently. (Presumably beads can be
// "snapped on" to the middle of a pole without disturbing neighboring
// beads.) Also note 'row' here is a row of the abacus.
wg.Add(len(a))
for row, n := range a {
go func(row, n int) {
for pole := 0; pole < n; pole++ {
abacus[pole][row] = bead
}
wg.Done()
}(row, n)
}
wg.Wait()
// Now tip the abacus, letting beads fall on each pole concurrently.
wg.Add(aMax)
for _, pole := range abacus {
go func(pole []byte) {
// Track the top of the stack of beads that have already fallen.
top := 0
for row, space := range pole {
if space == bead {
// Move each bead individually, but move it from its
// starting row to the top of stack in a single operation.
// (More physical simulation such as discovering the top
// of stack by inspection, or modeling gravity, are
// possible, but didn't seem called for by the task.
pole[row] = 0
pole[top] = bead
top++
}
}
wg.Done()
}(pole)
}
wg.Wait()
// Read out sorted numbers by row.
for row := range a {
x := 0
for pole := 0; pole < aMax && abacus[pole][row] == bead; pole++ {
x++
}
a[len(a)-1-row] = x
}
} |
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
| #Eiffel | Eiffel |
class
COCKTAIL_SORT [G -> COMPARABLE]
feature
cocktail_sort (ar: ARRAY [G]): ARRAY [G]
-- Array sorted in ascending order.
require
ar_not_empty: ar.count >= 1
local
not_swapped: BOOLEAN
sol: ARRAY [G]
i, j: INTEGER
t: G
do
create Result.make_empty
Result.deep_copy (ar)
from
until
not_swapped = True
loop
not_swapped := True
from
i := Result.lower
until
i = Result.upper - 1
loop
if Result [i] > Result [i + 1] then
Result := swap (Result, i)
not_swapped := False
end
i := i + 1
end
from
j := Result.upper - 1
until
j = Result.lower
loop
if Result [j] > Result [j + 1] then
Result := swap (Result, j)
not_swapped := False
end
j := j - 1
end
end
ensure
ar_is_sorted: is_sorted (Result)
end
feature{NONE}
swap (ar: ARRAY [G]; i: INTEGER): ARRAY [G]
-- Array with elements i and i+1 swapped.
require
ar_not_void: ar /= Void
i_is_in_bounds: ar.valid_index (i)
local
t: G
do
create Result.make_empty
Result.deep_copy (ar)
t := Result [i]
Result [i] := Result [i + 1]
Result [i + 1] := t
ensure
swapped_right: Result [i + 1] = ar [i]
swapped_left: Result [i] = ar [i + 1]
end
is_sorted (ar: ARRAY [G]): BOOLEAN
--- Is 'ar' sorted in ascending order?
require
ar_not_empty: ar.is_empty = False
local
i: INTEGER
do
Result := True
from
i := ar.lower
until
i = ar.upper
loop
if ar [i] > ar [i + 1] then
Result := False
end
i := i + 1
end
end
end
|
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.)
| #langur | langur | val .countingSort = f(.array) {
val .min, .max = minmax(.array)
var .count = arr .max-.min+1, 0
for .i in .array { .count[.i-.min+1] += 1 }
for .i of .count { _for ~= arr .count[.i], .i+.min-1 }
}
val .data = [7, 234, -234, 9, 43, 123, 14]
writeln "Original: ", .data
writeln "Sorted : ", .countingSort(.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.)
| #Lua | Lua | function CountingSort( f )
local min, max = math.min( unpack(f) ), math.max( unpack(f) )
local count = {}
for i = min, max do
count[i] = 0
end
for i = 1, #f do
count[ f[i] ] = count[ f[i] ] + 1
end
local z = 1
for i = min, max do
while count[i] > 0 do
f[z] = i
z = z + 1
count[i] = count[i] - 1
end
end
end
f = { 15, -3, 0, -1, 5, 4, 5, 20, -8 }
CountingSort( f )
for i in next, f do
print( f[i] )
end |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #11l | 11l |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program stableSort641.s */
/* use merge sort and pointer table */
/* but use a extra table of pointer for the merge */
/*******************************************/
/* Constantes file */
/*******************************************/
/* for this file see task include a file in language AArch64 assembly*/
.include "../includeConstantesARM64.inc"
/*******************************************/
/* Structures */
/********************************************/
/* city structure */
.struct 0
city_name: //
.struct city_name + 8 // string pointer
city_country: //
.struct city_country + 8 // string pointer
city_end:
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessResult: .asciz "Name : @ country : @ \n"
szMessSortName: .asciz "Sort table for name of city :\n"
szMessSortCountry: .asciz "Sort table for country : \n"
szCarriageReturn: .asciz "\n"
// cities name
szLondon: .asciz "London"
szNewyork: .asciz "New York"
szBirmin: .asciz "Birmingham"
szParis: .asciz "Paris"
// country name
szUK: .asciz "UK"
szUS: .asciz "US"
szFR: .asciz "FR"
.align 4
TableCities:
e1: .quad szLondon // address name string
.quad szUK // address country string
e2: .quad szParis
.quad szFR
e3: .quad szNewyork
.quad szUS
e4: .quad szBirmin
.quad szUK
e5: .quad szParis
.quad szUS
e6: .quad szBirmin
.quad szUS
/* pointers table */
ptrTableCities: .quad e1
.quad e2
.quad e3
.quad e4
.quad e5
.quad e6
.equ NBELEMENTS, (. - ptrTableCities) / 8
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
ptrTableExtraSort: .skip 8 * NBELEMENTS
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
ldr x0,qAdrptrTableCities // address pointers table
bl displayTable
ldr x0,qAdrszMessSortName
bl affichageMess
ldr x0,qAdrptrTableCities // address pointers table
mov x1,0 // not use in routine
mov x2,NBELEMENTS - 1 // number of élements
mov x3,#city_name // sort by city name
mov x4,#'A' // alphanumeric
ldr x5,qAdrptrTableExtraSort
bl mergeSort
ldr x0,qAdrptrTableCities // address table
bl displayTable
ldr x0,qAdrszMessSortCountry
bl affichageMess
ldr x0,qAdrptrTableCities // address table
mov x1,0 // not use in routine
mov x2,NBELEMENTS - 1 // number of élements
mov x3,#city_country // sort by city country
mov x4,#'A' // alphanumeric
ldr x5,qAdrptrTableExtraSort
bl mergeSort
ldr x0,qAdrptrTableCities // address table
bl displayTable
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
qAdrTableCities: .quad TableCities
qAdrszMessSortName: .quad szMessSortName
qAdrptrTableExtraSort: .quad ptrTableExtraSort
qAdrszMessSortCountry: .quad szMessSortCountry
qAdrptrTableCities: .quad ptrTableCities
/******************************************************************/
/* merge sort */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the index of first element */
/* x2 contains the number of element */
/* x3 contains the offset of area sort */
/* x4 contains the type of area sort N numeric A alpha */
/* x5 contains address extra area */
mergeSort:
stp x3,lr,[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
stp x10,x11,[sp,-16]! // save registers
mov x6,x1 // save index first element
mov x7,x2 // save number of element
mov x11,x0 // save address table
cmp x2,x1 // end ?
ble 100f
add x9,x2,x1
lsr x9,x9,1 // number of element of each subset
mov x2,x9
bl mergeSort
mov x1,x9 // restaur number of element of each subset
add x1,x1,1
mov x2,x7 // restaur number of element
bl mergeSort // sort first subset
add x10,x9,1
1:
sub x1,x10,1
sub x8,x10,1
ldr x2,[x0,x1,lsl 3]
str x2,[x5,x8,lsl 3]
sub x10,x10,1
cmp x10,x6
bgt 1b
mov x10,x9
2:
add x1,x10,1
add x8,x7,x9
sub x8,x8,x10
ldr x2,[x0,x1,lsl 3]
str x2,[x5,x8,lsl 3]
add x10,x10,1
cmp x10,x7
blt 2b
mov x10,x6 //k
mov x1,x6 // i
mov x2,x7 // j
3:
mov x0,x5 // table address x1 = i x2 = j x3 = area sort offeset
bl comparArea
cmp x0,0
bgt 5f
blt 4f
// if equal and i < pivot
cmp x1,x9
ble 4f // inverse to stable
b 5f
4: // store element subset 1
mov x0,x5
ldr x6,[x5,x1, lsl 3]
str x6,[x11,x10, lsl 3]
add x1,x1,1
b 6f
5: // store element subset 2
mov x0,x5
ldr x6,[x5,x2, lsl 3]
str x6,[x11,x10, lsl 3]
sub x2,x2,1
6:
add x10,x10,1
cmp x10,x7
ble 3b
mov x0,x11
100:
ldp x10,x11,[sp],16 // restaur 2 registers
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 x3,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/******************************************************************/
/* comparison sort area */
/******************************************************************/
/* x0 contains the address of table */
/* x1 indice area sort 1 */
/* x2 indice area sort 2 */
/* x3 contains the offset of area sort */
/* x4 contains the type of area sort N numeric A alpha */
comparArea:
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
ldr x1,[x0,x1,lsl 3] // load pointer element 1
ldr x6,[x1,x3] // load area sort element 1
ldr x2,[x0,x2,lsl 3] // load pointer element 2
ldr x7,[x2,x3] // load area sort element 2
cmp x4,'A' // numeric or alpha ?
beq 1f
cmp x6,x7 // compare numeric value
blt 10f
bgt 11f
b 12f
1: // else compar alpha string
mov x8,#0
2:
ldrb w9,[x6,x8] // byte string 1
ldrb w5,[x7,x8] // byte string 2
cmp w9,w5
bgt 11f
blt 10f
cmp w9,#0 // end string 1
beq 12f // end comparaison
add x8,x8,#1 // else add 1 in counter
b 2b // and loop
10: // lower
mov x0,-1
b 100f
11: // highter
mov x0,1
b 100f
12: // equal
mov x0,0
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
stp x4,x5,[sp,-16]! // save registers
stp x6,x7,[sp,-16]! // save registers
mov x2,x0 // table address
mov x3,0
1: // loop display table
lsl x4,x3,#3 // offset element
ldr x6,[x2,x4] // load pointer
ldr x1,[x6,city_name]
ldr x0,qAdrsMessResult
bl strInsertAtCharInc // put name in message
ldr x1,[x6,city_country] // and put country in the message
bl strInsertAtCharInc // insert result at @ character
bl affichageMess // display message
add x3,x3,1
cmp x3,#NBELEMENTS
blt 1b
ldr x0,qAdrszCarriageReturn
bl affichageMess
100:
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
/********************************************************/
/* File Include fonctions */
/********************************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
|
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #C.23 | C# | using static System.Console;
using static System.Linq.Enumerable;
public class Program
{
public static void Main() {
foreach (int n in new [] { 0, 5, 13, 21, -22 }) WriteLine($"{n}: {string.Join(", ", LexOrder(n))}");
}
public static IEnumerable<int> LexOrder(int n) => (n < 1 ? Range(n, 2 - n) : Range(1, n)).OrderBy(i => i.ToString());
} |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #C.2B.2B | C++ | #include <algorithm>
#include <iostream>
#include <numeric>
#include <string>
#include <vector>
void lexicographical_sort(std::vector<int>& numbers) {
std::vector<std::string> strings(numbers.size());
std::transform(numbers.begin(), numbers.end(), strings.begin(),
[](int i) { return std::to_string(i); });
std::sort(strings.begin(), strings.end());
std::transform(strings.begin(), strings.end(), numbers.begin(),
[](const std::string& s) { return std::stoi(s); });
}
std::vector<int> lexicographically_sorted_vector(int n) {
std::vector<int> numbers(n >= 1 ? n : 2 - n);
std::iota(numbers.begin(), numbers.end(), std::min(1, n));
lexicographical_sort(numbers);
return numbers;
}
template <typename T>
void print_vector(std::ostream& out, const std::vector<T>& v) {
out << '[';
if (!v.empty()) {
auto i = v.begin();
out << *i++;
for (; i != v.end(); ++i)
out << ',' << *i;
}
out << "]\n";
}
int main(int argc, char** argv) {
for (int i : { 0, 5, 13, 21, -22 }) {
std::cout << i << ": ";
print_vector(std::cout, lexicographically_sorted_vector(i));
}
return 0;
} |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #C.2B.2B | C++ | #include <algorithm>
#include <iostream>
#include <string>
#include <vector>
template < class T >
void sort3( T& x, T& y, T& z) {
std::vector<T> v{x, y, z};
std::sort(v.begin(), v.end());
x = v[0]; y = v[1]; z = v[2];
}
int main() {
int xi = 77444, yi = -12, zi = 0;
sort3( xi, yi, zi );
std::cout << xi << "\n" << yi << "\n" << zi << "\n\n";
std::string xs, ys, zs;
xs = "lions, tigers, and";
ys = "bears, oh my!";
zs = "(from the \"Wizard of OZ\")";
sort3( xs, ys, zs );
std::cout << xs << "\n" << ys << "\n" << zs << "\n\n";
float xf = 11.3f, yf = -9.7f, zf = 11.17f;
sort3( xf, yf, zf );
std::cout << xf << "\n" << yf << "\n" << zf << "\n\n";
}
|
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.
| #C.2B.2B | C++ | #include <algorithm>
#include <string>
#include <cctype>
// compare character case-insensitive
struct icompare_char {
bool operator()(char c1, char c2) {
return std::toupper(c1) < std::toupper(c2);
}
};
// return true if s1 comes before s2
struct compare {
bool operator()(std::string const& s1, std::string const& s2) {
if (s1.length() > s2.length())
return true;
if (s1.length() < s2.length())
return false;
return std::lexicographical_compare(s1.begin(), s1.end(),
s2.begin(), s2.end(),
icompare_char());
}
};
int main() {
std::string strings[8] = {"Here", "are", "some", "sample", "strings", "to", "be", "sorted"};
std::sort(strings, strings+8, compare());
return 0;
} |
http://rosettacode.org/wiki/Sort_an_outline_at_every_level | Sort an outline at every level | Task
Write and test a function over an indented plain text outline which either:
Returns a copy of the outline in which the sub-lists at every level of indentation are sorted, or
reports that the indentation characters or widths are not consistent enough to make the outline structure clear.
Your code should detect and warn of at least two types of inconsistent indentation:
inconsistent use of whitespace characters (e.g. mixed use of tabs and spaces)
inconsistent indent widths. For example, an indentation with an odd number of spaces in an outline in which the unit indent appears to be 2 spaces, or 4 spaces.
Your code should be able to detect and handle both tab-indented, and space-indented (e.g. 4 space, 2 space etc) outlines, without being given any advance warning of the indent characters used, or the size of the indent units.
You should also be able to specify different types of sort, for example, as a minimum, both ascending and descending lexical sorts.
Your sort should not alter the type or size of the indentation units used in the input outline.
(For an application of Indent Respectful Sort, see the Sublime Text package of that name. The Python source text [1] is available for inspection on Github).
Tests
Sort every level of the (4 space indented) outline below lexically, once ascending and once descending.
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
Do the same with a tab-indented equivalent of the same outline.
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
The output sequence of an ascending lexical sort of each level should be:
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
The output sequence of a descending lexical sort of each level should be:
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
Attempt to separately sort each of the following two outlines, reporting any inconsistencies detected in their indentations by your validation code.
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
Related tasks
Functional_coverage_tree
Display_an_outline_as_a_nested_table
| #Raku | Raku | my @tests = q:to/END/.split( /\n\n+/ )».trim;
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
END
for @tests -> $t {
say "{'=' x 55}\nUnsorted:\n$t";
my $indent = try detect-indent $t;
next unless $indent;
say "\nSorted ascending:";
pretty-print import($t, :level($indent) ).List, :ws($indent);
say "\nSorted descending:";
pretty-print import($t, :level($indent) ).List, :ws($indent), :desc;
}
sub detect-indent ($text) {
my $consistent = $text.lines.map(* ~~ / ^ (\h*) /).join.comb.Set;
note "\nUnwilling to continue; Inconsistent indent characters." and return '' if +$consistent > 1;
my @ws = $text.lines.map: (* ~~ / ^ (\h*) /)».Str;
my $indent = @ws.grep( *.chars > 0 ).min.first;
note "\nUnwilling to continue; Inconsistent indentation." and return '' unless all
@ws.map: { next unless .[0]; (.[0].chars %% $indent.chars) }
$indent
}
sub import (Str $trees, :$level) {
my $forest = '[';
my $last = -Inf;
for $trees.lines -> $branch {
$branch ~~ / ($($level))* /;
my $this = +$0;
$forest ~= do {
given $this cmp $last {
when More { (?$this ?? q[ => \[ ] !! "" )~ "'{$branch.trim}'" }
when Same { ", '{$branch.trim}'" }
when Less { "{']' x $last - $this}, '{$branch.trim}' " }
}
}
$last = $this;
}
$forest ~= ']' x 1 + $last;
use MONKEY-SEE-NO-EVAL;
$forest.EVAL;
}
multi pretty-print (List $struct, :$level = 0, :$ws = ' ', :$desc = False) {
if $desc {
pretty-print($_, :level($level), :$ws, :$desc ) for $struct.flat.sort.reverse.List
} else {
pretty-print($_, :level($level), :$ws, :$desc ) for $struct.flat.sort.List
}
}
multi pretty-print (Pair $struct, :$level = 0, :$ws = ' ', :$desc = False) {
say $ws x $level, $struct.key;
pretty-print( $struct.value.sort( ).List, :level($level + 1), :$ws, :$desc )
}
multi pretty-print (Str $struct, :$level = 0, :$ws = ' ', :$desc = False) {
say $ws x $level , $struct;
} |
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
| #Objeck | Objeck |
bundle Default {
class Stooge {
function : Main(args : String[]) ~ Nil {
nums := [3, 5, 1, 9, 7, 6, 8, 2, 4];
CombSort(nums);
each(i : nums) {
IO.Console->Print(nums[i])->Print(",");
};
IO.Console->PrintLine();
}
function : CombSort(input : Int[]) ~ Nil {
gap : Float := input->Size();
swaps := true;
while(gap > 1 | swaps) {
gap /= 1.247330950103979;
if(gap < 1) { gap := 1; };
i : Int := 0;
swaps := false;
while(i + gap < input->Size()) {
igap : Int := i + gap->As(Int);
if (input[i] > input[igap]) {
swap : Int := input[i];
input[i] := input[igap];
input[igap] := swap;
swaps := true;
};
i += 1;
};
};
}
}
}
|
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.
| #M4 | M4 | divert(-1)
define(`randSeed',141592653)
define(`setRand',
`define(`randSeed',ifelse(eval($1<10000),1,`eval(20000-$1)',`$1'))')
define(`rand_t',`eval(randSeed^(randSeed>>13))')
define(`random',
`define(`randSeed',eval((rand_t^(rand_t<<18))&0x7fffffff))randSeed')
define(`for',
`ifelse($#,0,``$0'',
`ifelse(eval($2<=$3),1,
`pushdef(`$1',$2)$4`'popdef(`$1')$0(`$1',incr($2),$3,`$4')')')')
define(`set',`define(`$1[$2]',`$3')')
define(`new',`set($1,size,0)')
define(`get',`defn($1[$2])')
define(`append',
`set($1,size,incr(get($1,size)))`'set($1,get($1,size),$2)')
define(`deck',
`new($1)for(`x',1,$2,
`append(`$1',random)')')
define(`show',
`for(`x',1,get($1,size),`get($1,x)`'ifelse(x,get($1,size),`',`, ')')')
define(`swap',`set($1,$2,get($1,$4))`'set($1,$4,$3)')
define(`shuffle',
`for(`x',1,get($1,size),
`swap($1,x,get($1,x),eval(1+random%get($1,size)))')')
define(`inordern',
`ifelse(eval($2>=get($1,size)),1,
1,
`ifelse(eval(get($1,$2)>get($1,incr($2))),1,
0,
`inordern(`$1',incr($2))')')')
define(`inorder',`inordern($1,1)')
define(`bogosort',
`ifelse(inorder(`$1'),0,`nope shuffle(`$1')`'bogosort(`$1')')')
divert
deck(`b',6)
show(`b')
bogosort(`b')
show(`b') |
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.
| #Arturo | Arturo | bubbleSort: function [items][
len: size items
loop len [j][
i: 1
while [i =< len-j] [
if items\[i] < items\[i-1] [
tmp: items\[i]
items\[i]: items\[i-1]
items\[i-1]: tmp
]
i: i + 1
]
]
items
]
print bubbleSort [3 1 2 8 5 7 9 4 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.
| #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 ( --)
;
create example
8 93 69 52 50 79 33 52 19 77 , , , , , , , , , ,
: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 10 0 do example i cells + ? loop cr ;
.array example 10 gnomesort .array |
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.
| #Groovy | Groovy | def beadSort = { list ->
final nPoles = list.max()
list.collect {
print "."
([true] * it) + ([false] * (nPoles - it))
}.transpose().collect { pole ->
print "."
pole.findAll { ! it } + pole.findAll { it }
}.transpose().collect{ beadTally ->
beadTally.findAll{ it }.size()
}
} |
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
| #Elena | Elena | import extensions;
import system'math;
import system'routines;
extension op
{
cocktailSort()
{
var list := self.clone();
bool swapped := true;
while(swapped)
{
swapped := false;
for(int i := 0, i <= list.Length - 2, i += 1)
{
if (list[i]>list[i+1])
{
list.exchange(i,i+1);
swapped := true
}
};
ifnot (swapped)
{
^ list
};
swapped := false;
for(int i := list.Length - 2, i >= 0, i -= 1)
{
if (list[i]>list[i+1])
{
list.exchange(i,i+1);
swapped := true
}
}
};
^ list
}
}
public program()
{
var list := new int[]{3, 5, 1, 9, 7, 6, 8, 2, 4 };
console.printLine("before:", list.asEnumerable());
console.printLine("after :", list.cocktailSort().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.)
| #M4 | M4 | divert(-1)
define(`randSeed',141592653)
define(`setRand',
`define(`randSeed',ifelse(eval($1<10000),1,`eval(20000-$1)',`$1'))')
define(`rand_t',`eval(randSeed^(randSeed>>13))')
define(`random',
`define(`randSeed',eval((rand_t^(rand_t<<18))&0x7fffffff))randSeed')
define(`set',`define(`$1[$2]',`$3')')
define(`get',`defn(`$1[$2]')')
define(`new',`set($1,size,0)')
define(`append',
`set($1,size,incr(get($1,size)))`'set($1,get($1,size),$2)')
define(`deck',
`new($1)for(`x',1,$2,
`append(`$1',eval(random%$3))')')
define(`for',
`ifelse($#,0,``$0'',
`ifelse(eval($2<=$3),1,
`pushdef(`$1',$2)$4`'popdef(`$1')$0(`$1',incr($2),$3,`$4')')')')
define(`show',
`for(`x',1,get($1,size),`get($1,x) ')')
define(`countingsort',
`for(`x',$2,$3,`set(count,x,0)')`'for(`x',1,get($1,size),
`set(count,get($1,x),incr(get(count,get($1,x))))')`'define(`z',
1)`'for(`x',$2,$3,
`for(`y',1,get(count,x),
`set($1,z,x)`'define(`z',incr(z))')')')
divert
deck(`a',10,100)
show(`a')
countingsort(`a',0,99)
show(`a') |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #AArch64_Assembly | AArch64 Assembly |
/* ARM assembly AARCH64 Raspberry PI 3B */
/* program stableSort641.s */
/* use merge sort and pointer table */
/* but use a extra table of pointer for the merge */
/*******************************************/
/* Constantes file */
/*******************************************/
/* for this file see task include a file in language AArch64 assembly*/
.include "../includeConstantesARM64.inc"
/*******************************************/
/* Structures */
/********************************************/
/* city structure */
.struct 0
city_name: //
.struct city_name + 8 // string pointer
city_country: //
.struct city_country + 8 // string pointer
city_end:
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessResult: .asciz "Name : @ country : @ \n"
szMessSortName: .asciz "Sort table for name of city :\n"
szMessSortCountry: .asciz "Sort table for country : \n"
szCarriageReturn: .asciz "\n"
// cities name
szLondon: .asciz "London"
szNewyork: .asciz "New York"
szBirmin: .asciz "Birmingham"
szParis: .asciz "Paris"
// country name
szUK: .asciz "UK"
szUS: .asciz "US"
szFR: .asciz "FR"
.align 4
TableCities:
e1: .quad szLondon // address name string
.quad szUK // address country string
e2: .quad szParis
.quad szFR
e3: .quad szNewyork
.quad szUS
e4: .quad szBirmin
.quad szUK
e5: .quad szParis
.quad szUS
e6: .quad szBirmin
.quad szUS
/* pointers table */
ptrTableCities: .quad e1
.quad e2
.quad e3
.quad e4
.quad e5
.quad e6
.equ NBELEMENTS, (. - ptrTableCities) / 8
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
sZoneConv: .skip 24
ptrTableExtraSort: .skip 8 * NBELEMENTS
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: // entry of program
ldr x0,qAdrptrTableCities // address pointers table
bl displayTable
ldr x0,qAdrszMessSortName
bl affichageMess
ldr x0,qAdrptrTableCities // address pointers table
mov x1,0 // not use in routine
mov x2,NBELEMENTS - 1 // number of élements
mov x3,#city_name // sort by city name
mov x4,#'A' // alphanumeric
ldr x5,qAdrptrTableExtraSort
bl mergeSort
ldr x0,qAdrptrTableCities // address table
bl displayTable
ldr x0,qAdrszMessSortCountry
bl affichageMess
ldr x0,qAdrptrTableCities // address table
mov x1,0 // not use in routine
mov x2,NBELEMENTS - 1 // number of élements
mov x3,#city_country // sort by city country
mov x4,#'A' // alphanumeric
ldr x5,qAdrptrTableExtraSort
bl mergeSort
ldr x0,qAdrptrTableCities // address table
bl displayTable
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
qAdrTableCities: .quad TableCities
qAdrszMessSortName: .quad szMessSortName
qAdrptrTableExtraSort: .quad ptrTableExtraSort
qAdrszMessSortCountry: .quad szMessSortCountry
qAdrptrTableCities: .quad ptrTableCities
/******************************************************************/
/* merge sort */
/******************************************************************/
/* x0 contains the address of table */
/* x1 contains the index of first element */
/* x2 contains the number of element */
/* x3 contains the offset of area sort */
/* x4 contains the type of area sort N numeric A alpha */
/* x5 contains address extra area */
mergeSort:
stp x3,lr,[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
stp x10,x11,[sp,-16]! // save registers
mov x6,x1 // save index first element
mov x7,x2 // save number of element
mov x11,x0 // save address table
cmp x2,x1 // end ?
ble 100f
add x9,x2,x1
lsr x9,x9,1 // number of element of each subset
mov x2,x9
bl mergeSort
mov x1,x9 // restaur number of element of each subset
add x1,x1,1
mov x2,x7 // restaur number of element
bl mergeSort // sort first subset
add x10,x9,1
1:
sub x1,x10,1
sub x8,x10,1
ldr x2,[x0,x1,lsl 3]
str x2,[x5,x8,lsl 3]
sub x10,x10,1
cmp x10,x6
bgt 1b
mov x10,x9
2:
add x1,x10,1
add x8,x7,x9
sub x8,x8,x10
ldr x2,[x0,x1,lsl 3]
str x2,[x5,x8,lsl 3]
add x10,x10,1
cmp x10,x7
blt 2b
mov x10,x6 //k
mov x1,x6 // i
mov x2,x7 // j
3:
mov x0,x5 // table address x1 = i x2 = j x3 = area sort offeset
bl comparArea
cmp x0,0
bgt 5f
blt 4f
// if equal and i < pivot
cmp x1,x9
ble 4f // inverse to stable
b 5f
4: // store element subset 1
mov x0,x5
ldr x6,[x5,x1, lsl 3]
str x6,[x11,x10, lsl 3]
add x1,x1,1
b 6f
5: // store element subset 2
mov x0,x5
ldr x6,[x5,x2, lsl 3]
str x6,[x11,x10, lsl 3]
sub x2,x2,1
6:
add x10,x10,1
cmp x10,x7
ble 3b
mov x0,x11
100:
ldp x10,x11,[sp],16 // restaur 2 registers
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 x3,lr,[sp],16 // restaur 2 registers
ret // return to address lr x30
/******************************************************************/
/* comparison sort area */
/******************************************************************/
/* x0 contains the address of table */
/* x1 indice area sort 1 */
/* x2 indice area sort 2 */
/* x3 contains the offset of area sort */
/* x4 contains the type of area sort N numeric A alpha */
comparArea:
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
ldr x1,[x0,x1,lsl 3] // load pointer element 1
ldr x6,[x1,x3] // load area sort element 1
ldr x2,[x0,x2,lsl 3] // load pointer element 2
ldr x7,[x2,x3] // load area sort element 2
cmp x4,'A' // numeric or alpha ?
beq 1f
cmp x6,x7 // compare numeric value
blt 10f
bgt 11f
b 12f
1: // else compar alpha string
mov x8,#0
2:
ldrb w9,[x6,x8] // byte string 1
ldrb w5,[x7,x8] // byte string 2
cmp w9,w5
bgt 11f
blt 10f
cmp w9,#0 // end string 1
beq 12f // end comparaison
add x8,x8,#1 // else add 1 in counter
b 2b // and loop
10: // lower
mov x0,-1
b 100f
11: // highter
mov x0,1
b 100f
12: // equal
mov x0,0
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
stp x4,x5,[sp,-16]! // save registers
stp x6,x7,[sp,-16]! // save registers
mov x2,x0 // table address
mov x3,0
1: // loop display table
lsl x4,x3,#3 // offset element
ldr x6,[x2,x4] // load pointer
ldr x1,[x6,city_name]
ldr x0,qAdrsMessResult
bl strInsertAtCharInc // put name in message
ldr x1,[x6,city_country] // and put country in the message
bl strInsertAtCharInc // insert result at @ character
bl affichageMess // display message
add x3,x3,1
cmp x3,#NBELEMENTS
blt 1b
ldr x0,qAdrszCarriageReturn
bl affichageMess
100:
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
/********************************************************/
/* File Include fonctions */
/********************************************************/
/* for this file see task include a file in language AArch64 assembly */
.include "../includeARM64.inc"
|
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Ada | Ada | set aTable to "UK London
US New York
US Birmingham
UK Birmingham"
-- -s = stable sort; -t sets the field separator, -k sets the sort "column" range in field numbers.
set stableSortedOnColumn2 to (do shell script ("sort -st'" & tab & "' -k2,2 <<<" & quoted form of aTable))
set stableSortedOnColumn1 to (do shell script ("sort -st'" & tab & "' -k1,1 <<<" & quoted form of aTable))
return "Stable sorted on column 2:" & (linefeed & stableSortedOnColumn2) & (linefeed & linefeed & ¬
"Stable sorted on column 1:") & (linefeed & stableSortedOnColumn1) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #AppleScript | AppleScript | set aTable to "UK London
US New York
US Birmingham
UK Birmingham"
-- -s = stable sort; -t sets the field separator, -k sets the sort "column" range in field numbers.
set stableSortedOnColumn2 to (do shell script ("sort -st'" & tab & "' -k2,2 <<<" & quoted form of aTable))
set stableSortedOnColumn1 to (do shell script ("sort -st'" & tab & "' -k1,1 <<<" & quoted form of aTable))
return "Stable sorted on column 2:" & (linefeed & stableSortedOnColumn2) & (linefeed & linefeed & ¬
"Stable sorted on column 1:") & (linefeed & stableSortedOnColumn1) |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Clojure | Clojure | (def n 13)
(sort-by str (range 1 (inc n))) |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #COBOL | COBOL | identification division.
program-id. LexicographicalNumbers.
data division.
working-storage section.
78 MAX-NUMBERS value 21.
77 i pic 9(2).
77 edited-number pic z(2).
01 lex-table.
05 table-itms occurs MAX-NUMBERS.
10 number-lex pic x(2).
procedure division.
main.
*>-> Load numbers
perform varying i from 1 by 1 until i > MAX-NUMBERS
move i to edited-number
move edited-number to number-lex(i)
call "C$JUSTIFY" using number-lex(i), "Left"
end-perform
*>-> Sort in lexicographic order
sort table-itms ascending number-lex
*>-> Show ordered numbers
display "[" no advancing
perform varying i from 1 by 1 until i > MAX-NUMBERS
display function trim(number-lex(i)) no advancing
if i < MAX-NUMBERS
display ", " no advancing
end-if
end-perform
display "]"
stop run
. |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #CLU | CLU | % Sort three variables.
% The variables must all be of the same type, and the type
% must implement the less-than comparator.
sort_three = proc [T: type] (x,y,z: T) returns (T,T,T)
where T has lt: proctype (T,T) returns (bool)
if y<x then x,y := y,x end
if z<y then y,z := z,y end
if y<x then x,y := y,z end
return(x,y,z)
end sort_three
% Test it out on three values, when also given a type and a
% formatter.
example = proc [T: type] (x,y,z: T, fmt: proctype (T) returns (string))
where T has lt: proctype (T,T) returns (bool)
po: stream := stream$primary_output()
% Print the variables
stream$putl(po, "x=" || fmt(x)
|| " y=" || fmt(y)
|| " z=" || fmt(z))
% Sort them
x,y,z := sort_three[T](x,y,z)
% Print them again
stream$putl(po, "x=" || fmt(x)
|| " y=" || fmt(y)
|| " z=" || fmt(z)
|| "\n")
end example
% And then we also need formatters, since those are not standardized
% such as '<' is.
fmt_real = proc (n: real) returns (string)
return(f_form(n,2,2))
end fmt_real
fmt_str = proc (s: string) returns (string)
return( "'" || s || "'" )
end fmt_str
% Test it out on values of each type
start_up = proc ()
example[int] (77444, -12, 0, int$unparse)
example[real] (11.3, -9.7, 11.17, fmt_real)
example[string] ("lions, tigers and", "bears, oh my!",
"(from the \"Wizard of Oz\")", fmt_str)
end start_up |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #COBOL | COBOL | program-id. 3var.
data division.
working-storage section.
1 n binary pic 9(4).
1 num pic -(7)9.
1 a1 pic x(32) value "lions, tigers, and".
1 a2 pic x(32) value "bears, oh my!".
1 a3 pic x(32) value "(from the ""Wizard of OZ"")".
1 n1 pic x(8) value "77444".
1 n2 pic x(8) value "-12".
1 n3 pic x(8) value "0".
1 alpha-table.
2 alpha-entry occurs 3 pic x(32).
1 numeric-table.
2 numeric-entry occurs 3 pic s9(8).
1 filler value "x = y = z = ".
2 lead-in occurs 3 pic x(4).
procedure division.
begin.
move a1 to alpha-entry (1)
move a2 to alpha-entry (2)
move a3 to alpha-entry (3)
sort alpha-entry ascending alpha-entry
perform varying n from 1 by 1
until n > 3
display lead-in (n) alpha-entry (n)
end-perform
display space
compute numeric-entry (1) = function numval (n1)
compute numeric-entry (2) = function numval (n2)
compute numeric-entry (3) = function numval (n3)
sort numeric-entry ascending numeric-entry
perform varying n from 1 by 1
until n > 3
move numeric-entry (n) to num
display lead-in (n) num
end-perform
stop run
.
end program 3var. |
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.
| #Ceylon | Ceylon | shared void run() {
value strings = [
"Cat", "apple", "Adam", "zero", "Xmas", "quit",
"Level", "add", "Actor", "base", "butter"
];
value sorted = strings.sort((String x, String y) =>
if(x.size == y.size)
then increasing(x.lowercased, y.lowercased)
else decreasing(x.size, y.size));
sorted.each(print);
} |
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.
| #Clean | Clean | import StdEnv
less s1 s2
| size s1 > size s2 = True
| size s1 < size s2 = False
| otherwise = lower s1 < lower s2
where
lower :: String -> String
lower s = {toLower c \\ c <-: s}
Start = sortBy less ["This", "is", "a", "set", "of", "strings", "to", "sort"] |
http://rosettacode.org/wiki/Sort_an_outline_at_every_level | Sort an outline at every level | Task
Write and test a function over an indented plain text outline which either:
Returns a copy of the outline in which the sub-lists at every level of indentation are sorted, or
reports that the indentation characters or widths are not consistent enough to make the outline structure clear.
Your code should detect and warn of at least two types of inconsistent indentation:
inconsistent use of whitespace characters (e.g. mixed use of tabs and spaces)
inconsistent indent widths. For example, an indentation with an odd number of spaces in an outline in which the unit indent appears to be 2 spaces, or 4 spaces.
Your code should be able to detect and handle both tab-indented, and space-indented (e.g. 4 space, 2 space etc) outlines, without being given any advance warning of the indent characters used, or the size of the indent units.
You should also be able to specify different types of sort, for example, as a minimum, both ascending and descending lexical sorts.
Your sort should not alter the type or size of the indentation units used in the input outline.
(For an application of Indent Respectful Sort, see the Sublime Text package of that name. The Python source text [1] is available for inspection on Github).
Tests
Sort every level of the (4 space indented) outline below lexically, once ascending and once descending.
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
Do the same with a tab-indented equivalent of the same outline.
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
The output sequence of an ascending lexical sort of each level should be:
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
The output sequence of a descending lexical sort of each level should be:
zeta
gamma
mu
lambda
kappa
delta
beta
alpha
theta
iota
epsilon
Attempt to separately sort each of the following two outlines, reporting any inconsistencies detected in their indentations by your validation code.
alpha
epsilon
iota
theta
zeta
beta
delta
gamma
kappa
lambda
mu
zeta
beta
gamma
lambda
kappa
mu
delta
alpha
theta
iota
epsilon
Related tasks
Functional_coverage_tree
Display_an_outline_as_a_nested_table
| #Wren | Wren | import "/sort" for Sort
import "/fmt" for Fmt
var sortedOutline = Fn.new { |originalOutline, ascending|
var outline = originalOutline.toList // make copy in case we mutate it
var indent = ""
var del = "\x7f"
var sep = "\0"
var messages = []
if (outline[0].trimStart(" \t") != outline[0]) {
System.print(" outline structure is unclear")
return
}
for (i in 1...outline.count) {
var line = outline[i]
var lc = line.count
if (line.startsWith(" ") || line.startsWith(" \t") || line.startsWith("\t")) {
var lc2 = line.trimStart(" \t").count
var currIndent = line[0...lc-lc2]
if (indent == "") {
indent = currIndent
} else {
var correctionNeeded = false
if ((currIndent.contains("\t") && !indent.contains("\t")) ||
(!currIndent.contains("\t") && indent.contains("\t"))) {
messages.add(indent + "corrected inconsistent whitespace use at line '%(line)'")
correctionNeeded = true
} else if (currIndent.count % indent.count != 0) {
messages.add(indent + "corrected inconsistent indent width at line '%(line)'")
correctionNeeded = true
}
if (correctionNeeded) {
var mult = (currIndent.count / indent.count).round
outline[i] = (indent * mult) + line[lc-lc2..-1]
}
}
}
}
var levels = List.filled(outline.count, 0)
levels[0] = 1
var level = 1
var margin = ""
while (!levels.all { |l| l > 0 }) {
var mc = margin.count
for (i in 1...outline.count) {
if (levels[i] == 0) {
var line = outline[i]
if (line.startsWith(margin) && line[mc] != " " && line[mc] != "\t") levels[i] = level
}
}
margin = margin + indent
level = level + 1
}
var lines = List.filled(outline.count, "")
lines[0] = outline[0]
var nodes = []
for (i in 1...outline.count) {
if (levels[i] > levels[i-1]) {
nodes.add((nodes.count == 0) ? outline[i - 1] : sep + outline[i-1])
} else if (levels[i] < levels[i-1]) {
var j = levels[i-1] - levels[i]
for (k in 1..j) nodes.removeAt(-1)
}
if (nodes.count > 0) {
lines[i] = nodes.join() + sep + outline[i]
} else {
lines[i] = outline[i]
}
}
if (ascending) {
Sort.insertion(lines)
} else {
var maxLen = lines.reduce(0) { |max, l| (l.count > max) ? l.count : max }
for (i in 0...lines.count) lines[i] = Fmt.ljust(maxLen, lines[i], del)
Sort.insertion(lines, true)
}
for (i in 0...lines.count) {
var s = lines[i].split(sep)
lines[i] = s[-1]
if (!ascending) lines[i] = lines[i].trimEnd(del)
}
if (messages.count > 0) {
System.print(messages.join("\n"))
System.print()
}
System.print(lines.join("\n"))
}
var outline = [
"zeta",
" beta",
" gamma",
" lambda",
" kappa",
" mu",
" delta",
"alpha",
" theta",
" iota",
" epsilon"
]
var outline2 = outline.map { |s| s.replace(" ", "\t") }.toList
var outline3 = [
"alpha",
" epsilon",
" iota",
" theta",
"zeta",
" beta",
" delta",
" gamma",
" \t kappa", // same length but \t instead of space
" lambda",
" mu"
]
var outline4 = [
"zeta",
" beta",
" gamma",
" lambda",
" kappa",
" mu",
" delta",
"alpha",
" theta",
" iota",
" epsilon"
]
System.print("Four space indented outline, ascending sort:")
sortedOutline.call(outline, true)
System.print("\nFour space indented outline, descending sort:")
sortedOutline.call(outline, false)
System.print("\nTab indented outline, ascending sort:")
sortedOutline.call(outline2, true)
System.print("\nTab indented outline, descending sort:")
sortedOutline.call(outline2, false)
System.print("\nFirst unspecified outline, ascending sort:")
sortedOutline.call(outline3, true)
System.print("\nFirst unspecified outline, descending sort:")
sortedOutline.call(outline3, false)
System.print("\nSecond unspecified outline, ascending sort:")
sortedOutline.call(outline4, true)
System.print("\nSecond unspecified outline, descending sort:")
sortedOutline.call(outline4, false) |
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
| #OCaml | OCaml | let comb_sort ~input =
let input_length = Array.length input in
let gap = ref(input_length) in
let swapped = ref true in
while (!gap > 1 || !swapped) do
if (!gap > 1) then
gap := int_of_float (float !gap /. 1.3);
swapped := false;
for i = 0 to input_length - !gap do
if input.(i) > input.(i + !gap) then begin
let tmp = input.(i) in
input.(i) <- input.(i + !gap);
input.(i + !gap) <- tmp;
swapped := true;
end
done
done
;; |
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.
| #Maple | Maple | arr := Array([2,3,1]):
len := numelems(arr):
#Translation of C, random swapping
shuffle_arr := proc(arr, len)
local i, r, temp:
for i from 1 to len do
temp := arr[i]:
r := rand(1..len)():
arr[i] := arr[r]:
arr[r] := temp:
end do:
end proc:
while(not ListTools:-Sorted(convert(arr, list))) do
shuffle_arr(arr, len):
end do:
arr; |
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.
| #AutoHotkey | AutoHotkey | var =
(
dog
cat
pile
abc
)
MsgBox % bubblesort(var)
bubblesort(var) ; each line of var is an element of the array
{
StringSplit, array, var, `n
hasChanged = 1
size := array0
While hasChanged
{
hasChanged = 0
Loop, % (size - 1)
{
i := array%A_Index%
aj := A_Index + 1
j := array%aj%
If (j < i)
{
temp := array%A_Index%
array%A_Index% := array%aj%
array%aj% := temp
hasChanged = 1
}
}
}
Loop, % size
sorted .= array%A_Index% . "`n"
Return 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.
| #Fortran | 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
Optimized Version
SUBROUTINE OPTIMIZEDGNOMESORT(A) ! Nice
IMPLICIT NONE
!
! Dummy arguments
!
REAL , DIMENSION(0:) :: A
INTENT (INOUT) A
!
! Local variables
!
INTEGER :: posy
!
DO posy = 1 , UBOUND(A , 1) !size(a)-1
CALL GNOMESORT(A , posy)
END DO
RETURN
CONTAINS
SUBROUTINE GNOMESORT(A , Upperbound)
IMPLICIT NONE
!
! Dummy arguments
!
INTEGER :: Upperbound
REAL , DIMENSION(0:) :: A
INTENT (IN) Upperbound
INTENT (INOUT) A
!
! Local variables
!
LOGICAL :: eval
INTEGER :: posy
REAL :: t
!
eval = .FALSE.
posy = Upperbound
eval = (posy>0) .AND. (A(posy - 1)>A(posy))
! do while ((posy > 0) .and. (a(posy-1) > a(posy)))
DO WHILE ( eval )
t = A(posy)
A(posy) = A(posy - 1)
A(posy - 1) = t
!
posy = posy - 1
eval = (posy>0)
IF( eval )THEN ! Have to use as a guard condition
eval = (A(posy - 1)>A(posy))
ELSE
eval = .FALSE.
END IF
END DO
RETURN
END SUBROUTINE GNOMESORT
END SUBROUTINE OPTIMIZEDGNOMESORT
!
end program example |
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.
| #Haskell | Haskell | import Data.List
beadSort :: [Int] -> [Int]
beadSort = map sum. transpose. transpose. map (flip replicate 1) |
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.
| #Icon_and_Unicon | Icon and Unicon | procedure main() #: demonstrate various ways to sort a list and string
write("Sorting Demo using ",image(beadsort))
writes(" on list : ")
writex(UL := [3, 14, 1, 5, 9, 2, 6, 3])
displaysort(beadsort,copy(UL))
end
procedure beadsort(X) #: return sorted list ascending(or descending)
local base,i,j,x # handles negatives and zeros, may also reduce storage
poles := list(max!X-(base := min!X -1),0) # set up poles, we will track sums not individual beads
every x := !X do { # each item in the list
if integer(x) ~= x then runerr(101,x) # ... must be an integer
every poles[1 to x - base] +:= 1 # ... beads "fall" into the sum for that pole
}
every (X[j := *X to 1 by -1] := base) &
(i := 1 to *poles) do # read from the bottom of the poles
if poles[i] > 0 then { # if there's a bead on the pole ...
poles[i] -:= 1 # ... remove it
X[j] +:= 1 # ... and add it in place
}
return X
end |
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
| #Elixir | Elixir | defmodule Sort do
def cocktail_sort(list) when is_list(list), do: cocktail_sort(list, [], [])
defp cocktail_sort([], minlist, maxlist), do: Enum.reverse(minlist, maxlist)
defp cocktail_sort([x], minlist, maxlist), do: Enum.reverse(minlist, [x | maxlist])
defp cocktail_sort(list, minlist, maxlist) do
{max, rev} = cocktail_max(list, [])
{min, rest} = cocktail_min(rev, [])
cocktail_sort(rest, [min | minlist], [max | maxlist])
end
defp cocktail_max([max], list), do: {max, list}
defp cocktail_max([x,y | t], list) when x<y, do: cocktail_max([y | t], [x | list])
defp cocktail_max([x,y | t], list) , do: cocktail_max([x | t], [y | list])
defp cocktail_min([min], list), do: {min, list}
defp cocktail_min([x,y | t], list) when x>y, do: cocktail_min([y | t], [x | list])
defp cocktail_min([x,y | t], list) , do: cocktail_min([x | t], [y | list])
end
IO.inspect Sort.cocktail_sort([5,3,9,4,1,6,8,2,7]) |
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.)
| #Mathematica.2FWolfram_Language | Mathematica/Wolfram Language | countingSort[list_] := Module[{minElem, maxElem, count, z, number},
minElem = Min[list]; maxElem = Max[list];
count = ConstantArray[0, (maxElem - minElem + 1)];
For[number = 1, number < Length[list], number++,
count[[number - minElem + 1]] = count[[number - minElem + 1]] + 1;] ;
z = 1;
For[i = minElem, i < maxElem, i++,
While[count[[i - minElem + 1]] > 0,
list[[z]] = i; z++;
count[[i - minElem + 1]] = count[[i - minElem + 1]] - 1;]
];
] |
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.)
| #MATLAB_.2F_Octave | MATLAB / Octave | function list = countingSort(list)
minElem = min(list);
maxElem = max(list);
count = zeros((maxElem-minElem+1),1);
for number = list
count(number - minElem + 1) = count(number - minElem + 1) + 1;
end
z = 1;
for i = (minElem:maxElem)
while( count(i-minElem +1) > 0)
list(z) = i;
z = z+1;
count(i - minElem + 1) = count(i - minElem + 1) - 1;
end
end
end %countingSort |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #AutoHotkey | AutoHotkey | Table =
(
UK, London
US, New York
US, Birmingham
UK, Birmingham
)
Gui, Margin, 6
Gui, -MinimizeBox
Gui, Add, ListView, r5 w260 Grid, Orig.Position|Country|City
Loop, Parse, Table, `n, `r
{
StringSplit, out, A_LoopField, `,, %A_Space%
LV_Add("", A_Index, out1, out2)
}
LV_ModifyCol(1, "77 Center")
LV_ModifyCol(2, "100 Center")
LV_ModifyCol(3, 79)
Gui, Add, Button, w80, Restore Order
Gui, Add, Button, x+10 wp, Sort Countries
Gui, Add, Button, x+10 wp, Sort Cities
Gui, Show,, Sort stability
Return
GuiClose:
GuiEscape:
ExitApp
ButtonRestoreOrder:
LV_ModifyCol(1, "Sort")
Return
ButtonSortCountries:
LV_ModifyCol(2, "Sort")
Return
ButtonSortCities:
LV_ModifyCol(3, "Sort")
Return |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #AWK | AWK |
# syntax: GAWK -f SORT_STABILITY.AWK [-v width=x] -v field=x SORT_STABILITY.TXT
#
# sort by country: GAWK -f SORT_STABILITY.AWK -v field=1 SORT_STABILITY.TXT
# sort by city: GAWK -f SORT_STABILITY.AWK -v field=2 SORT_STABILITY.TXT
#
# awk sort is not stable. Stability may be achieved by appending the
# record number, I.E. NR, to each key.
#
BEGIN {
FIELDWIDTHS = "4 20" # 2 fields: country city
PROCINFO["sorted_in"] = "@ind_str_asc"
if (width == "") {
width = 6
}
}
{ arr[$field sprintf("%0*d",width,NR)] = $0 }
END {
if (length(NR) > width) {
printf("error: sort may still be unstable; change width to %d\n",length(NR))
exit(1)
}
printf("after sorting on field %d:\n",field)
for (i in arr) {
printf("%s\n",arr[i])
}
exit(0)
}
|
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Common_Lisp | Common Lisp |
(defun lexicographic-sort (n)
(sort (alexandria:iota n :start 1) #'string<= :key #'write-to-string))
(lexicographic-sort 13)
|
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Factor | Factor | USING: formatting kernel math.parser math.ranges sequences
sorting ;
IN: rosetta-code.lexicographical-numbers
: lex-order ( n -- seq )
[1,b] [ number>string ] map natural-sort
[ string>number ] map ;
{ 13 21 -22 } [ dup lex-order "%3d: %[%d, %]\n" printf ] each |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #F.C5.8Drmul.C3.A6 | Fōrmulæ | function leq( n as integer, m as integer ) as boolean
if str(n)<=str(m) then return true else return false
end function
sub shellsort(s() as integer)
dim as integer n = ubound(s)
dim as integer i, inc = n
dim as boolean done
do
inc\=2.2
if inc = 0 then inc = 1
do
done = false
for i = 0 to n - inc
if leq(s(i+inc), s(i)) then
swap s(i), s(i + inc)
done = true
end if
next
loop until done = 0
loop until inc = 1
end sub
dim as integer n, i
input n
dim as integer s(0 to n-1)
for i = 0 to n-1
s(i) = i+1
next i
shellsort(s())
print "[";
for i = 0 to n-1
print s(i);
if i<n-1 then print ", ";
next i
print "]" |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Cowgol | Cowgol | include "cowgol.coh";
# Sort 3 values
sub sort3(a: int32, b: int32, c: int32): (x: int32, y: int32, z: int32) is
sub sort2(a: int32, b: int32): (x: int32, y: int32) is
if a > b then
x := b;
y := a;
else
x := a;
y := b;
end if;
end sub;
x := a;
y := b;
z := c;
(x, y) := sort2(x, y);
(x, z) := sort2(x, z);
(y, z) := sort2(y, z);
end sub;
# Print 3 values
sub print3(a: int32, b: int32, c: int32) is
sub print1(a: int32) is
var buf: uint8[10];
[IToA(a, 10, &buf[0])] := 0;
print(&buf[0]);
print_char(' ');
end sub;
print1(a);
print1(b);
print1(c);
print_nl();
end sub;
var x: int32 := 77444;
var y: int32 := -12;
var z: int32 := 0;
# Print 3 values before sorting
print3(x, y, z);
# Sort 3 values
(x, y, z) := sort3(x, y, z);
# Print 3 values after sorting
print3(x, y, z); |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #D | D | import std.stdio;
void main() {
driver(77444, -12, 0);
driver("lions, tigers, and", "bears, oh my!", "(from the \"Wizard of OZ\")");
}
void driver(T)(T x, T y, T z) {
writeln("BEFORE: x=[", x, "]; y=[", y, "]; z=[", z, "]");
sort3Var(x,y,z);
writeln("AFTER: x=[", x, "]; y=[", y, "]; z=[", z, "]");
}
void sort3Var(T)(ref T x, ref T y, ref T z)
out {
assert(x<=y);
assert(x<=z);
assert(y<=z);
}
body {
import std.algorithm : swap;
if (x < y) {
if (z < x) {
swap(x,z);
}
} else if (y < z) {
swap(x,y);
} else {
swap(x,z);
}
if (z<y) {
swap(y,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.
| #Clojure | Clojure | (defn rosetta-compare [s1 s2]
(let [len1 (count s1), len2 (count s2)]
(if (= len1 len2)
(compare (.toLowerCase s1) (.toLowerCase s2))
(- len2 len1))))
(println
(sort rosetta-compare
["Here" "are" "some" "sample" "strings" "to" "be" "sorted"])) |
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
| #Oz | Oz | declare
proc {CombSort Arr}
Low = {Array.low Arr}
High = {Array.high Arr}
Size = High - Low + 1
Gap = {NewCell Size}
Swapped = {NewCell true}
proc {Swap I J}
Arr.J := (Arr.I := Arr.J)
end
in
for while:@Gap>1 orelse @Swapped do
if @Gap > 1 then
Gap := {Float.toInt {Floor {Int.toFloat @Gap} / 1.3}}
end
Swapped := false
for I in Low..High-@Gap do
if Arr.I > Arr.(I+@Gap) then
{Swap I I+@Gap}
Swapped := true
end
end
end
end
Arr = {Tuple.toArray unit(3 1 4 1 5 9 2 6 5)}
in
{CombSort Arr}
{Show {Array.toRecord unit Arr}} |
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.
| #Mathematica.2FWolfram_Language | Mathematica/Wolfram Language | Bogosort[x_List] := Block[{t=x},While[!OrderedQ[t],t=RandomSample[x]]; t]
Bogosort[{1, 2, 6, 4, 0, -1, Pi, 3, 5}]
=> {-1, 0, 1, 2, 3, Pi, 4, 5, 6} |
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.
| #MATLAB_.2F_Octave | MATLAB / Octave | function list = bogoSort(list)
while( ~issorted(list) ) %Check to see if it is sorted
list = list( randperm(numel(list)) ); %Randomly sort the list
end
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.
| #AWK | AWK | { # read every line into an array
line[NR] = $0
}
END { # sort it with bubble sort
do {
haschanged = 0
for(i=1; i < NR; i++) {
if ( line[i] > line[i+1] ) {
t = line[i]
line[i] = line[i+1]
line[i+1] = t
haschanged = 1
}
}
} while ( haschanged == 1 )
# print it
for(i=1; i <= NR; i++) {
print line[i]
}
} |
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.
| #FreeBASIC | FreeBASIC | ' version 21-10-2016
' compile with: fbc -s console
' for boundry checks on array's compile with: fbc -s console -exx
Sub gnomesort(gnome() 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(gnome)
Dim As Long ub = UBound(gnome)
Dim As Long i = lb +1, j = lb +2
While i < (ub +1)
' replace "<=" with ">=" for downwards sort
If gnome(i -1) <= gnome(i) Then
i = j
j += 1
Else
Swap gnome(i -1), gnome(i)
i -= 1
If i = lb Then
i = j
j += 1
End If
End If
Wend
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 "unsort ";
For i = a To b : Print Using "####"; array(i); : Next : Print
gnomesort(array()) ' sort the array
Print " sort ";
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/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.
| #J | J | bead=: [: +/ #"0&1 |
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.
| #Java | Java |
public class BeadSort
{
public static void main(String[] args)
{
BeadSort now=new BeadSort();
int[] arr=new int[(int)(Math.random()*11)+5];
for(int i=0;i<arr.length;i++)
arr[i]=(int)(Math.random()*10);
System.out.print("Unsorted: ");
now.display1D(arr);
int[] sort=now.beadSort(arr);
System.out.print("Sorted: ");
now.display1D(sort);
}
int[] beadSort(int[] arr)
{
int max=a[0];
for(int i=1;i<arr.length;i++)
if(arr[i]>max)
max=arr[i];
//Set up abacus
char[][] grid=new char[arr.length][max];
int[] levelcount=new int[max];
for(int i=0;i<max;i++)
{
levelcount[i]=0;
for(int j=0;j<arr.length;j++)
grid[j][i]='_';
}
/*
display1D(arr);
display1D(levelcount);
display2D(grid);
*/
//Drop the beads
for(int i=0;i<arr.length;i++)
{
int num=arr[i];
for(int j=0;num>0;j++)
{
grid[levelcount[j]++][j]='*';
num--;
}
}
System.out.println();
display2D(grid);
//Count the beads
int[] sorted=new int[arr.length];
for(int i=0;i<arr.length;i++)
{
int putt=0;
for(int j=0;j<max&&grid[arr.length-1-i][j]=='*';j++)
putt++;
sorted[i]=putt;
}
return sorted;
}
void display1D(int[] arr)
{
for(int i=0;i<arr.length;i++)
System.out.print(arr[i]+" ");
System.out.println();
}
void display1D(char[] arr)
{
for(int i=0;i<arr.length;i++)
System.out.print(arr[i]+" ");
System.out.println();
}
void display2D(char[][] arr)
{
for(int i=0;i<arr.length;i++)
display1D(arr[i]);
System.out.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
| #Euphoria | Euphoria | function cocktail_sort(sequence s)
integer swapped, d
object temp
sequence fromto
fromto = {1,length(s)-1}
swapped = 1
d = 1
while swapped do
swapped = 0
for i = fromto[(1-d)/2+1] to fromto[(1+d)/2+1] by d do
if compare(s[i],s[i+1])>0 then
temp = s[i]
s[i] = s[i+1]
s[i+1] = temp
swapped = 1
end if
end for
d = -d
end while
return s
end function
constant s = rand(repeat(1000,10))
? s
? cocktail_sort(s) |
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.)
| #MAXScript | MAXScript |
fn countingSort arr =
(
if arr.count < 2 do return arr
local minVal = amin arr
local maxVal = amax arr
local count = for i in 1 to (maxVal-minVal+1) collect 0
for i in arr do
(
count[i-minVal+1] = count[i-minVal+1] + 1
)
local z = 1
for i = minVal to maxVal do
(
while (count[i-minVal+1]>0) do
(
arr[z] = i
z += 1
count[i-minVal+1] = count[i-minVal+1] - 1
)
)
return arr
) |
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.)
| #Modula-3 | Modula-3 | MODULE Counting EXPORTS Main;
IMPORT IO, Fmt;
VAR test := ARRAY [1..8] OF INTEGER {80, 10, 40, 60, 50, 30, 20, 70};
PROCEDURE Sort(VAR a: ARRAY OF INTEGER; min, max: INTEGER) =
VAR range := max - min + 1;
count := NEW(REF ARRAY OF INTEGER, range);
z := 0;
BEGIN
FOR i := FIRST(count^) TO LAST(count^) DO
count[i] := 0;
END;
FOR i := FIRST(a) TO LAST(a) DO
INC(count[a[i] - min]);
END;
FOR i := min TO max DO
WHILE (count[i - min] > 0) DO
a[z] := i;
INC(z);
DEC(count[i - min]);
END;
END;
END Sort;
BEGIN
IO.Put("Unsorted: ");
FOR i := FIRST(test) TO LAST(test) DO
IO.Put(Fmt.Int(test[i]) & " ");
END;
IO.Put("\n");
Sort(test, 10, 80);
IO.Put("Sorted: ");
FOR i := FIRST(test) TO LAST(test) DO
IO.Put(Fmt.Int(test[i]) & " ");
END;
IO.Put("\n");
END Counting. |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #BBC_BASIC | BBC BASIC | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #C | C | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #C.23 | C# | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #FreeBASIC | FreeBASIC | function leq( n as integer, m as integer ) as boolean
if str(n)<=str(m) then return true else return false
end function
sub shellsort(s() as integer)
dim as integer n = ubound(s)
dim as integer i, inc = n
dim as boolean done
do
inc\=2.2
if inc = 0 then inc = 1
do
done = false
for i = 0 to n - inc
if leq(s(i+inc), s(i)) then
swap s(i), s(i + inc)
done = true
end if
next
loop until done = 0
loop until inc = 1
end sub
dim as integer n, i
input n
dim as integer s(0 to n-1)
for i = 0 to n-1
s(i) = i+1
next i
shellsort(s())
print "[";
for i = 0 to n-1
print s(i);
if i<n-1 then print ", ";
next i
print "]" |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Go | Go | package main
import (
"fmt"
"sort"
"strconv"
)
func lexOrder(n int) []int {
first, last, k := 1, n, n
if n < 1 {
first, last, k = n, 1, 2-n
}
strs := make([]string, k)
for i := first; i <= last; i++ {
strs[i-first] = strconv.Itoa(i)
}
sort.Strings(strs)
ints := make([]int, k)
for i := 0; i < k; i++ {
ints[i], _ = strconv.Atoi(strs[i])
}
return ints
}
func main() {
fmt.Println("In lexicographical order:\n")
for _, n := range []int{0, 5, 13, 21, -22} {
fmt.Printf("%3d: %v\n", n, lexOrder(n))
}
} |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Elena | Elena | import extensions;
sortThree(ref object a, ref object b, ref object c)
{
if (a > b) { exchange(ref a, ref b) };
if (a > c) { exchange(ref a, ref c) };
if (b > c) { exchange(ref b, ref c) }
}
public program()
{
var x := 5;
var y := 1;
var z := 2;
var a := "lions, tigers, and";
var b := "bears, oh my!";
var c := "(from the 'Wizard of OZ')";
sortThree(ref x,ref y,ref z);
sortThree(ref a,ref b,ref c);
console.printLine(x,",",y,",",z);
console.printLine(a,",",b,",",c)
} |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #Elixir | Elixir | x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
[x, y, z] = Enum.sort([x, y, z])
IO.puts "x = #{x}\ny = #{y}\nz = #{z}\n"
x = 77444
y = -12
z = 0
[x, y, z] = Enum.sort([x, y, z])
IO.puts "x = #{x}\ny = #{y}\nz = #{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.
| #Common_Lisp | Common Lisp | CL-USER> (defvar *strings*
(list "Cat" "apple" "Adam" "zero" "Xmas" "quit" "Level" "add" "Actor" "base" "butter"))
*STRINGS*
CL-USER> (sort *strings* #'string-lessp)
("Actor" "Adam" "add" "apple" "base" "butter" "Cat" "Level" "quit" "Xmas"
"zero") |
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.
| #D | D | import std.stdio, std.string, std.algorithm, std.typecons;
void main() {
"here are Some sample strings to be sorted"
.split
.schwartzSort!q{ tuple(-a.length, a.toUpper) }
.writeln;
} |
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
| #PARI.2FGP | PARI/GP | combSort(v)={
my(phi=(1+sqrt(5))/2,magic=1/(1-exp(-phi)),g=#v,swaps);
while(g>1 | swaps,
if(g>1, g\=magic);
swaps=0;
for(i=1,#v-g,
if(v[i]>v[i+g],
my(t=v[i]);
v[i]=v[i+g];
v[i+g]=t;
swaps++
)
)
);
v
}; |
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.
| #MAXScript | MAXScript | fn notSorted arr =
(
if arr.count > 0 then
(
local current = arr[1]
for i in 2 to arr.count do
(
if current > arr[i] then
(
return true
)
current = arr[i]
)
)
false
)
fn randSort x y =
(
random -1 1
)
fn shuffle arr =
(
qsort arr randSort
arr
)
fn bogosort arr =
(
while notSorted arr do
(
arr = shuffle arr
)
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.
| #Modula-3 | Modula-3 | MODULE Bogo EXPORTS Main;
IMPORT IO, Fmt, Random;
VAR a := ARRAY [1..5] OF INTEGER {1, 2, 3, 4, 5};
count := 0;
PROCEDURE Shuffle(VAR a: ARRAY OF INTEGER) =
VAR temp: INTEGER;
BEGIN
WITH rand = NEW(Random.Default).init() DO
FOR i := FIRST(a) TO LAST(a) - 1 DO
WITH j = rand.integer(i, LAST(a)) DO
temp := a[i];
a[i] := a[j];
a[j] := temp;
END;
END;
END;
END Shuffle;
PROCEDURE Sorted(VAR a: ARRAY OF INTEGER): BOOLEAN =
BEGIN
IF NUMBER(a) <= 1 THEN
RETURN TRUE;
END;
FOR i := FIRST(a) + 1 TO LAST(a) DO
IF (a[i] < a[i - 1]) THEN
RETURN FALSE;
END;
END;
RETURN TRUE;
END Sorted;
BEGIN
Shuffle(a);
WHILE NOT Sorted(a) DO
Shuffle(a);
INC(count);
END;
FOR i := FIRST(a) TO LAST(a) DO
IO.PutInt(a[i]);
IO.Put(" ");
END;
IO.Put("\nRequired " & Fmt.Int(count) & " shuffles\n");
END Bogo. |
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.
| #bash | bash |
$ function bubble_sort() {
local a=("$@")
local n
local i
local j
local t
ft=(false true)
n=${#a[@]} # array length
i=n
while ${ft[$(( 0 < i ))]}
do
j=0
while ${ft[$(( j+1 < i ))]}
do
if ${ft[$(( a[j+1] < a[j] ))]}
then
t=${a[j+1]}
a[j+1]=${a[j]}
a[j]=$t
fi
t=$(( ++j ))
done
t=$(( --i ))
done
echo ${a[@]}
}
> > > > > > > > > > > > > > > > > > > > > > > > > $ # this line output from bash
$ bubble_sort 3 2 8
2 3 8
$ # create an array variable
$ a=(2 45 83 89 1 82 69 88 112 99 0 82 58 65 782 74 -31 104 4 2)
$ bubble_sort ${a[@]}
-31 0 1 2 2 4 45 58 65 69 74 82 82 83 88 89 99 104 112 782
$ b=($( bubble_sort ${a[@]} ) )
$ echo ${#b[@]}
20
$ echo ${b[@]}
-31 0 1 2 2 4 45 58 65 69 74 82 82 83 88 89 99 104 112 782
$
|
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.
| #Gambas | Gambas | Public Sub Main()
Dim siCount As Short
Dim siCounti As Short = 1
Dim siCountj As Short = 2
Dim siToSort As Short[] = [249, 28, 111, 36, 171, 98, 29, 448, 44, 147, 154, 46, 102, 183, 24]
Print "To sort: - ";
GoSub Display
While siCounti < siToSort.Count
If siToSort[siCounti - 1] <= siToSort[siCounti] Then
siCounti = siCountj
Inc siCountj
Else
Swap siToSort[siCounti - 1], siToSort[siCounti]
Dec siCounti
If siCounti = 0 Then
siCounti = siCountj
Inc siCountj
Endif
Endif
Wend
Print "Sorted: - ";
GoSub Display
Return
'--------------------------------------------
Display:
For siCount = 0 To siToSort.Max
Print Format(Str(siToSort[siCount]), "####");
If siCount <> siToSort.max Then Print ",";
Next
Print
Return
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.
| #jq | jq | # ncols is the number of columns (i.e. vertical poles)
def column_sums(ncols):
. as $abacus
| reduce range(0; ncols) as $col
([];
. + [reduce $abacus[] as $row
(0; if $row > $col then .+1 else . end)]) ; |
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
| #Factor | Factor | USING: kernel locals math math.ranges sequences ;
:: cocktail-sort! ( seq -- seq' )
f :> swapped! ! bind false to mutable lexical variable 'swapped'. This must be done outside both while quotations so it is in scope of both.
[ swapped ] [ ! is swapped true? Then execute body quotation. 'do' executes body quotation before predicate on first pass.
f swapped! ! set swapped to false
seq length 2 - [| i | ! for each i in 0 to seq length - 2 do
i i 1 + [ seq nth ] bi@ > ! is element at index i greater than element at index i + 1?
[ i i 1 + seq exchange t swapped! ] when ! if so, swap them and set swapped to true
] each-integer
swapped [ ! skip to end of loop if swapped is false
seq length 2 - 0 [a,b] [| i | ! for each i in seq length - 2 to 0 do
i i 1 + [ seq nth ] bi@ > ! is element at index i greater than element at index i + 1?
[ i i 1 + seq exchange t swapped! ] when ! if so, swap them and set swapped to true
] each
] when
] do while
seq ; ! return the sequence |
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.)
| #Nanoquery | Nanoquery | def countingSort(array, min, max)
count = {0} * (max - min + 1)
for number in array
count[number - min] += 1
end
z = 0
for i in range(min, max)
while count[i - min] > 0
array[z] = i
z += 1
count[i - min] -= 1;
end
end
end |
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
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
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #11l | 11l | F sort_disjoint_sublist(&data, indices)
V sindices = sorted(indices)
V values = sorted(sindices.map(i -> @data[i]))
L(index, value) zip(sindices, values)
data[index] = value
V d = [7, 6, 5, 4, 3, 2, 1, 0]
V i = [6, 1, 7]
sort_disjoint_sublist(&d, i)
print(d) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #C.2B.2B | C++ | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Clojure | Clojure | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
http://rosettacode.org/wiki/Sort_numbers_lexicographically | Sort numbers lexicographically |
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
Given an integer n, return 1──►n (inclusive) in lexicographical order.
Show all output here on this page.
Example
Given 13,
return: [1,10,11,12,13,2,3,4,5,6,7,8,9].
| #Haskell | Haskell | import Data.List (sort)
task :: (Ord b, Show b) => [b] -> [b]
task = map snd . sort . map (\i -> (show i, i))
main = print $ task [1 .. 13] |
http://rosettacode.org/wiki/Sort_three_variables | Sort three variables |
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 (the values of) three variables (X, Y, and Z) that contain any value (numbers and/or literals).
If that isn't possible in your language, then just sort numbers (and note if they can be floating point, integer, or other).
I.E.: (for the three variables x, y, and z), where:
x = 'lions, tigers, and'
y = 'bears, oh my!'
z = '(from the "Wizard of OZ")'
After sorting, the three variables would hold:
x = '(from the "Wizard of OZ")'
y = 'bears, oh my!'
z = 'lions, tigers, and'
For numeric value sorting, use:
I.E.: (for the three variables x, y, and z), where:
x = 77444
y = -12
z = 0
After sorting, the three variables would hold:
x = -12
y = 0
z = 77444
The variables should contain some form of a number, but specify if the algorithm
used can be for floating point or integers. Note any limitations.
The values may or may not be unique.
The method used for sorting can be any algorithm; the goal is to use the most idiomatic in the computer programming language used.
More than one algorithm could be shown if one isn't clearly the better choice.
One algorithm could be:
• store the three variables x, y, and z
into an array (or a list) A
• sort (the three elements of) the array A
• extract the three elements from the array and place them in the
variables x, y, and z in order of extraction
Another algorithm (only for numeric values):
x= 77444
y= -12
z= 0
low= x
mid= y
high= z
x= min(low, mid, high) /*determine the lowest value of X,Y,Z. */
z= max(low, mid, high) /* " " highest " " " " " */
y= low + mid + high - x - z /* " " middle " " " " " */
Show the results of the sort here on this page using at least the values of those shown above.
| #F.23 | F# | let x = "lions, tigers, and"
let y = "bears, oh my!"
let z = """(from the "Wizard of OZ")"""
List.iter (printfn "%s") (List.sort [x;y;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.
| #Delphi | Delphi | program SortWithCustomComparator;
{$APPTYPE CONSOLE}
uses SysUtils, Types, Generics.Collections, Generics.Defaults;
var
lArray: TStringDynArray;
begin
lArray := TStringDynArray.Create('Here', 'are', 'some', 'sample', 'strings', 'to', 'be', 'sorted');
TArray.Sort<string>(lArray , TDelegatedComparer<string>.Construct(
function(const Left, Right: string): Integer
begin
//Returns ('Here', 'are', 'be', 'sample', 'some', 'sorted', 'strings', 'to')
//Result := CompareStr(Left, Right);
//Returns ('are', 'be', 'Here', 'sample', 'some', 'sorted', 'strings', 'to')
Result := CompareText(Left, Right);
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
| #Pascal | Pascal | program CombSortDemo;
// NOTE: The array is 1-based
// If you want to use this code on a 0-based array, see below
type
TIntArray = array[1..40] of integer;
var
data: TIntArray;
i: integer;
procedure combSort(var a: TIntArray);
var
i, gap, temp: integer;
swapped: boolean;
begin
gap := length(a);
swapped := true;
while (gap > 1) or swapped do
begin
gap := trunc(gap / 1.3);
if (gap < 1) then
gap := 1;
swapped := false;
for i := 1 to length(a) - gap do
if a[i] > a[i+gap] then
begin
temp := a[i];
a[i] := a[i+gap];
a[i+gap] := temp;
swapped := true;
end;
end;
end;
begin
Randomize;
writeln('The data before sorting:');
for i := low(data) to high(data) do
begin
data[i] := Random(high(data));
write(data[i]:4);
end;
writeln;
combSort(data);
writeln('The data after sorting:');
for i := low(data) to high(data) do
begin
write(data[i]:4);
end;
writeln;
end. |
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.
| #Nanoquery | Nanoquery | def sorted(list)
if len(list) = 0
return true
end
for i in range(0, len(list) - 2)
if list[i] > list[i + 1]
return false
end
end
return true
end
def bogosort(list)
while not sorted(list)
list = list.shuffle()
end
return list
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.
| #BASIC | BASIC |
DO
changed = 0
FOR I = 1 TO size -1
IF nums(I) > nums(I + 1) THEN
tmp = nums(I)
nums(I) = nums(I + 1)
nums(I + 1) = tmp
changed = 1
END IF
NEXT
LOOP WHILE(NOT changed) |
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.
| #Go | Go | package main
import "fmt"
func main() {
a := []int{170, 45, 75, -90, -802, 24, 2, 66}
fmt.Println("before:", a)
gnomeSort(a)
fmt.Println("after: ", a)
}
func gnomeSort(a []int) {
for i, j := 1, 2; i < len(a); {
if a[i-1] > a[i] {
a[i-1], a[i] = a[i], a[i-1]
i--
if i > 0 {
continue
}
}
i = j
j++
}
} |
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.
| #Julia | Julia | function beadsort(a::Vector{<:Integer})
lo, hi = extrema(a)
if lo < 1 throw(DomainError()) end
len = length(a)
abacus = falses(len, hi)
for (i, v) in enumerate(a)
abacus[i, 1:v] = true
end
for i in 1:hi
v = sum(abacus[:, i])
if v < len
abacus[1:end-v, i] = false
abacus[end-v+1:end, i] = true
end
end
return collect(eltype(a), sum(abacus[i,:]) for i in 1:len)
end
v = rand(UInt8, 20)
println("# unsorted bytes: $v\n -> sorted bytes: $(beadsort(v))")
v = rand(1:2 ^ 10, 20)
println("# unsorted integers: $v\n -> sorted integers: $(beadsort(v))") |
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.
| #Kotlin | Kotlin | // version 1.1.2
fun beadSort(a: IntArray) {
val n = a.size
if (n < 2) return
var max = a.max()!!
val beads = ByteArray(max * n)
/* mark the beads */
for (i in 0 until n)
for (j in 0 until a[i])
beads[i * max + j] = 1
for (j in 0 until max) {
/* count how many beads are on each post */
var sum = 0
for (i in 0 until n) {
sum += beads[i * max + j]
beads[i * max + j] = 0
}
/* mark bottom sum beads */
for (i in n - sum until n) beads[i * max + j] = 1
}
for (i in 0 until n) {
var j = 0
while (j < max && beads[i * max + j] == 1.toByte()) j++
a[i] = j
}
}
fun main(args: Array<String>) {
val a = intArrayOf(5, 3, 1, 7, 4, 1, 1, 20)
println("Before sorting : ${a.contentToString()}")
beadSort(a)
println("After sorting : ${a.contentToString()}")
} |
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
| #Forth | Forth | defer precedes ( addr addr -- flag )
\ e.g. ' < is precedes
: sort ( a n --)
1- cells bounds 2>r false
begin
0= dup
while
2r@ ?do
i cell+ @ i @ over over precedes ( mark unsorted )
if i cell+ ! i ! dup xor else drop drop then
1 cells +loop
0= dup
while
2r@ swap 1 cells - ?do
i cell+ @ i @ over over precedes ( mark unsorted )
if i cell+ ! i ! dup xor else drop drop then
-1 cells +loop
repeat then drop 2r> 2drop
; |
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.)
| #NetRexx | NetRexx | /* NetRexx */
options replace format comments java crossref savelog symbols binary
import java.util.List
icounts = [int -
1, 3, 6, 2, 7, 13, 20, 12, 21, 11 -
, 22, 10, 23, 9, 24, 8, 25, 43, 62, 42 -
, 63, 41, 18, 42, 17, 43, 16, 44, 15, 45 -
, 14, 46, 79, 113, 78, 114, 77, 39, 78, 38 -
]
scounts = int[icounts.length]
System.arraycopy(icounts, 0, scounts, 0, icounts.length)
lists = [ -
icounts -
, countingSort(scounts) -
]
loop ln = 0 to lists.length - 1
cl = lists[ln]
rep = Rexx('')
loop ct = 0 to cl.length - 1
rep = rep cl[ct]
end ct
say '['rep.strip.changestr(' ', ',')']'
end ln
return
method getMin(array = int[]) public constant binary returns int
amin = Integer.MAX_VALUE
loop x_ = 0 to array.length - 1
if array[x_] < amin then
amin = array[x_]
end x_
return amin
method getMax(array = int[]) public constant binary returns int
amax = Integer.MIN_VALUE
loop x_ = 0 to array.length - 1
if array[x_] > amax then
amax = array[x_]
end x_
return amax
method countingSort(array = int[], amin = getMin(array), amax = getMax(array)) public constant binary returns int[]
count = int[amax - amin + 1]
loop nr = 0 to array.length - 1
numbr = array[nr]
count[numbr - amin] = count[numbr - amin] + 1
end nr
z_ = 0
loop i_ = amin to amax
loop label count while count[i_ - amin] > 0
array[z_] = i_
z_ = z_ + 1
count[i_ - amin] = count[i_ - amin] - 1
end count
end i_
return array
|
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
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
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #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
BYTE FUNC InSet(INT ARRAY s INT size INT v)
INT i
FOR i=0 TO size-1
DO
IF s(i)=v THEN
RETURN (1)
FI
OD
RETURN (0)
PROC Sort(INT ARRAY arr INT arrSize
INT ARRAY ind INT indSize)
INT i,j,minpos,tmp
FOR i=0 TO arrSize-2
DO
IF InSet(ind,indSize,i) THEN
minpos=i
FOR j=i+1 TO arrSize-1
DO
IF InSet(ind,indSize,j)=1 AND arr(minpos)>arr(j) THEN
minpos=j
FI
OD
IF minpos#i THEN
tmp=arr(i)
arr(i)=arr(minpos)
arr(minpos)=tmp
FI
FI
OD
RETURN
PROC Test(INT ARRAY arr INT arrSize
INT ARRAY ind INT indSize)
PrintE("Array before sort:")
PrintArray(arr,arrSize)
PrintE("Indices:")
PrintArray(ind,indSize)
Sort(arr,arrSize,ind,indSize)
PrintE("Array after sort:")
PrintArray(arr,arrSize)
RETURN
PROC Main()
INT ARRAY
arr(8)=[7 6 5 4 3 2 1 0],
ind(3)=[6 1 7]
Test(arr,8,ind,3)
RETURN |
http://rosettacode.org/wiki/Sort_disjoint_sublist | Sort disjoint sublist |
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
Given a list of values and a set of integer indices into that value list, the task is to sort the values at the given indices, while preserving the values at indices outside the set of those to be sorted.
Make your example work with the following list of values and set of indices:
Values: [7, 6, 5, 4, 3, 2, 1, 0]
Indices: {6, 1, 7}
Where the correct result would be:
[7, 0, 5, 4, 3, 2, 1, 6].
In case of one-based indexing, rather than the zero-based indexing above, you would use the indices {7, 2, 8} instead.
The indices are described as a set rather than a list but any collection-type of those indices without duplication may be used as long as the example is insensitive to the order of indices given.
Cf.
Order disjoint list items
| #Ada | Ada | with Ada.Text_IO, GNAT.Bubble_Sort;
use Ada.Text_IO;
procedure DisjointSort is
package Int_Io is new Integer_IO (Integer);
subtype Index_Range is Natural range 1 .. 8;
Input_Array : array (Index_Range) of Integer := (7, 6, 5, 4, 3, 2, 1, 0);
subtype Subindex_Range is Natural range 1 .. 3;
type Sub_Arrays is array (Subindex_Range) of Integer;
Sub_Index : Sub_Arrays := (7, 2, 8);
Sub_Array : Sub_Arrays;
-- reuse of the somehow generic GNAT.Bubble_Sort (for Ada05)
procedure Sort (Work_Array : in out Sub_Arrays) is
procedure Exchange (Op1, Op2 : Natural) is
Temp : Integer;
begin
Temp := Work_Array (Op1);
Work_Array (Op1) := Work_Array (Op2);
Work_Array (Op2) := Temp;
end Exchange;
function Lt (Op1, Op2 : Natural) return Boolean is
begin
return (Work_Array (Op1) < Work_Array (Op2));
end Lt;
begin
GNAT.Bubble_Sort.Sort
(N => Subindex_Range'Last,
Xchg => Exchange'Unrestricted_Access,
Lt => Lt'Unrestricted_Access);
end Sort;
begin
-- as the positions are not ordered, first sort the positions
Sort (Sub_Index);
-- extract the values to be sorted
for I in Subindex_Range loop
Sub_Array (I) := Input_Array (Sub_Index (I));
end loop;
Sort (Sub_Array);
-- put the sorted values at the right place
for I in Subindex_Range loop
Input_Array (Sub_Index (I)) := Sub_Array (I);
end loop;
for I in Index_Range loop
Int_Io.Put (Input_Array (I), Width => 2);
end loop;
New_Line;
end DisjointSort; |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #COBOL | COBOL | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
http://rosettacode.org/wiki/Sort_stability | Sort stability |
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
When sorting records in a table by a particular column or field, a stable sort will always retain the relative order of records that have the same key.
Example
In this table of countries and cities, a stable sort on the second column, the cities, would keep the US Birmingham above the UK Birmingham.
(Although an unstable sort might, in this case, place the US Birmingham above the UK Birmingham, a stable sort routine would guarantee it).
UK London
US New York
US Birmingham
UK Birmingham
Similarly, stable sorting on just the first column would generate UK London as the first item and US Birmingham as the last item (since the order of the elements having the same first word – UK or US – would be maintained).
Task
Examine the documentation on any in-built sort routines supplied by a language.
Indicate if an in-built routine is supplied
If supplied, indicate whether or not the in-built routine is stable.
(This Wikipedia table shows the stability of some common sort routines).
| #Common_Lisp | Common Lisp | cities = [ {"UK", "London"},
{"US", "New York"},
{"US", "Birmingham"},
{"UK", "Birmingham"} ]
IO.inspect Enum.sort(cities)
IO.inspect Enum.sort(cities, fn a,b -> elem(a,0) >= elem(b,0) end)
IO.inspect Enum.sort_by(cities, fn {country, _city} -> country end)
IO.inspect Enum.sort_by(cities, fn {_country, city} -> city end) |
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