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Sorting Algorithms

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The SortingAlgorithms package provides four sorting algorithms that can be used with Julia's standard sorting API:

  • HeapSort – an unstable, general purpose, in-place, O(n log n) comparison sort that works by heapifying an array and repeatedly taking the maximal element from the heap.
  • TimSort – a stable, general purpose, hybrid, O(n log n) comparison sort that adapts to different common patterns of partially ordered input data.
  • CombSort – an unstable, general purpose, in-place, O(n log n) comparison sort with O(n^2) pathological cases that can attain good efficiency through SIMD instructions and instruction level parallelism on modern hardware.
  • PagedMergeSort – a stable, general purpose, O(n log n) time and O(sqrt n) space comparison sort.

Usage

julia> using SortingAlgorithms

julia> words = map(chomp,[readlines(open("/usr/share/dict/words"))...])
235886-element Array{ASCIIString,1}:
 "A"
 "a"
 "aa"
 ⋮
 "zythum"
 "Zyzomys"
 "Zyzzogeton"

julia> sort!(words, alg=TimSort)
235886-element Array{ASCIIString,1}:
 "A"
 "Aani"
 "Aaron"
 ⋮
 "zymurgy"
 "zythem"
 "zythum"

julia> sort!(words, alg=TimSort, by=length)
235886-element Array{ASCIIString,1}:
 "A"
 "B"
 "C"
 ⋮
 "scientificophilosophical"
 "tetraiodophenolphthalein"
 "thyroparathyroidectomize"

julia> sort!(words, alg=HeapSort)
235886-element Array{ASCIIString,1}:
 "A"
 "Aani"
 "Aaron"
 ⋮
 "zymurgy"
 "zythem"
 "zythum"

julia> sort!(words, alg=HeapSort, by=length)
235886-element Array{ASCIIString,1}:
 "L"
 "p"
 "U"
 ⋮
 "scientificophilosophical"
 "tetraiodophenolphthalein"
 "thyroparathyroidectomize"

julia> sort!(randn(1000), alg=CombSort)
1000-element Array{Float64,1}:
 -2.86255
 -2.72041
 -2.58234
  ⋮
  3.15075
  3.20058
  3.23942

Other packages that provide sorting algorithms

While SortingAlgorithms.jl is the most widely used sorting package in the Julia ecosystem, other packages are available: