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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
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-- quickSort :: (Ord a) => [a] -> [a]
on quickSort(xs)
if length of xs > 1 then
set {h, t} to uncons(xs)
-- lessOrEqual :: a -> Bool
script lessOrEqual
on |λ|(x)
x h
end |λ|
end script
set {less, more} to partition(lessOrEqual, t)
quickSort(less) & h & quickSort(more)
else
xs
end if
end quickSort
-- TEST -----------------------------------------------------------------------
on run
quickSort([11.8, 14.1, 21.3, 8.5, 16.7, 5.7])
--> {5.7, 8.5, 11.8, 14.1, 16.7, 21.3}
end run
-- GENERIC FUNCTIONS ----------------------------------------------------------
-- partition :: predicate -> List -> (Matches, nonMatches)
-- partition :: (a -> Bool) -> [a] -> ([a], [a])
on partition(f, xs)
tell mReturn(f)
set lst to {{}, {}}
repeat with x in xs
set v to contents of x
set end of item ((|λ|(v) as integer) + 1) of lst to v
end repeat
return {item 2 of lst, item 1 of lst}
end tell
end partition
-- uncons :: [a] -> Maybe (a, [a])
on uncons(xs)
if length of xs > 0 then
{item 1 of xs, rest of xs}
else
missing value
end if
end uncons
-- Lift 2nd class handler function into 1st class script wrapper
-- mReturn :: Handler -> Script
on mReturn(f)
if class of f is script then
f
else
script
property |λ| : f
end script
end if
end mReturn

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{5.7, 8.5, 11.8, 14.1, 16.7, 21.3}

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-- In-place Quicksort (basic algorithm).
-- Algorithm: S.A.R. (Tony) Hoare, 1960.
on quicksort(theList, l, r) -- Sort items l thru r of theList.
set listLength to (count theList)
if (listLength < 2) then return
-- Convert negative and/or transposed range indices.
if (l < 0) then set l to listLength + l + 1
if (r < 0) then set r to listLength + r + 1
if (l > r) then set {l, r} to {r, l}
-- Script object containing the list as a property (to allow faster references to its items)
-- and the recursive subhandler.
script o
property lst : theList
on qsrt(l, r)
set pivot to my lst's item ((l + r) div 2)
set i to l
set j to r
repeat until (i > j)
set lv to my lst's item i
repeat while (pivot > lv)
set i to i + 1
set lv to my lst's item i
end repeat
set rv to my lst's item j
repeat while (rv > pivot)
set j to j - 1
set rv to my lst's item j
end repeat
if (j > i) then
set my lst's item i to rv
set my lst's item j to lv
else if (i > j) then
exit repeat
end if
set i to i + 1
set j to j - 1
end repeat
if (j > l) then qsrt(l, j)
if (i < r) then qsrt(i, r)
end qsrt
end script
tell o to qsrt(l, r)
return -- nothing.
end quicksort
property sort : quicksort
-- Demo:
local aList
set aList to {28, 9, 95, 22, 67, 55, 20, 41, 60, 53, 100, 72, 19, 67, 14, 42, 29, 20, 74, 39}
sort(aList, 1, -1) -- Sort items 1 thru -1 of aList.
return aList

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{9, 14, 19, 20, 20, 22, 28, 29, 39, 41, 42, 53, 55, 60, 67, 67, 72, 74, 95, 100}