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Diffstat (limited to 'test/sort.lua')
-rw-r--r-- | test/sort.lua | 66 |
1 files changed, 66 insertions, 0 deletions
diff --git a/test/sort.lua b/test/sort.lua new file mode 100644 index 0000000..0bcb15f --- /dev/null +++ b/test/sort.lua @@ -0,0 +1,66 @@ +-- two implementations of a sort function +-- this is an example only. Lua has now a built-in function "sort" + +-- extracted from Programming Pearls, page 110 +function qsort(x,l,u,f) + if l<u then + local m=math.random(u-(l-1))+l-1 -- choose a random pivot in range l..u + x[l],x[m]=x[m],x[l] -- swap pivot to first position + local t=x[l] -- pivot value + m=l + local i=l+1 + while i<=u do + -- invariant: x[l+1..m] < t <= x[m+1..i-1] + if f(x[i],t) then + m=m+1 + x[m],x[i]=x[i],x[m] -- swap x[i] and x[m] + end + i=i+1 + end + x[l],x[m]=x[m],x[l] -- swap pivot to a valid place + -- x[l+1..m-1] < x[m] <= x[m+1..u] + qsort(x,l,m-1,f) + qsort(x,m+1,u,f) + end +end + +function selectionsort(x,n,f) + local i=1 + while i<=n do + local m,j=i,i+1 + while j<=n do + if f(x[j],x[m]) then m=j end + j=j+1 + end + x[i],x[m]=x[m],x[i] -- swap x[i] and x[m] + i=i+1 + end +end + +function show(m,x) + io.write(m,"\n\t") + local i=1 + while x[i] do + io.write(x[i]) + i=i+1 + if x[i] then io.write(",") end + end + io.write("\n") +end + +function testsorts(x) + local n=1 + while x[n] do n=n+1 end; n=n-1 -- count elements + show("original",x) + qsort(x,1,n,function (x,y) return x<y end) + show("after quicksort",x) + selectionsort(x,n,function (x,y) return x>y end) + show("after reverse selection sort",x) + qsort(x,1,n,function (x,y) return x<y end) + show("after quicksort again",x) +end + +-- array to be sorted +x={"Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"} + +testsorts(x) |