Created
October 22, 2012 08:25
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Generate a fast sort function for small n, based on http://blog.racket-lang.org/2012/08/fully-inlined-merge-sort.html
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# Generate sort$n(vs), sortk(n1,...,nk) functions | |
function gen_sort(n) | |
# Generate n symbols to manipulate | |
vs = [gensym("v") for i=1:n] | |
## These two lines are setup for the sort$n functions | |
# Set each symbol equal to an element of the input list | |
vss = {:($v = vs[$i]) for (v,i) in enumerate(vs)} | |
# Call the sort function | |
push(vss, :(sortk($(vs...)))) | |
# Create teh sort$n(), sortk() functions | |
quote | |
function $(symbol("sort$n"))(vs) | |
$(expr(:block, vss)) | |
end | |
function sortk($(vs...)) | |
$(sort_k(vs, vs -> :[$(vs...)])) | |
end | |
end | |
end | |
# Merge consecutive sorted blocks together | |
function merge_k(as, bs, k) | |
if length(as) == 0 | |
k(bs) | |
elseif length(bs) == 0 | |
k(as) | |
else | |
a = as[1] | |
b = bs[1] | |
quote | |
if $a <= $b | |
$(merge_k(as[2:end], bs, vs -> k([a, vs...]))) | |
else | |
$(merge_k(as, bs[2:end], vs -> k([b, vs...]))) | |
end | |
end | |
end | |
end | |
# Sort a list | |
function sort_k(vs, k) | |
if length(vs) < 2 | |
k(vs) | |
else | |
lvs = vs[1:int(end/2)] | |
rvs = vs[int(end/2)+1:end] | |
sort_k(lvs, | |
lvs -> sort_k(rvs, | |
rvs -> merge_k(lvs, rvs, k))) | |
end | |
end |
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