| 1 | -- two implementations of a sort function |
| 2 | -- this is an example only. Lua has now a built-in function "sort" |
| 3 | |
| 4 | -- extracted from Programming Pearls, page 110 |
| 5 | function qsort(x,l,u,f) |
| 6 | if l<u then |
| 7 | local m=math.random(u-(l-1))+l-1 -- choose a random pivot in range l..u |
| 8 | x[l],x[m]=x[m],x[l] -- swap pivot to first position |
| 9 | local t=x[l] -- pivot value |
| 10 | m=l |
| 11 | local i=l+1 |
| 12 | while i<=u do |
| 13 | -- invariant: x[l+1..m] < t <= x[m+1..i-1] |
| 14 | if f(x[i],t) then |
| 15 | m=m+1 |
| 16 | x[m],x[i]=x[i],x[m] -- swap x[i] and x[m] |
| 17 | end |
| 18 | i=i+1 |
| 19 | end |
| 20 | x[l],x[m]=x[m],x[l] -- swap pivot to a valid place |
| 21 | -- x[l+1..m-1] < x[m] <= x[m+1..u] |
| 22 | qsort(x,l,m-1,f) |
| 23 | qsort(x,m+1,u,f) |
| 24 | end |
| 25 | end |
| 26 | |
| 27 | function selectionsort(x,n,f) |
| 28 | local i=1 |
| 29 | while i<=n do |
| 30 | local m,j=i,i+1 |
| 31 | while j<=n do |
| 32 | if f(x[j],x[m]) then m=j end |
| 33 | j=j+1 |
| 34 | end |
| 35 | x[i],x[m]=x[m],x[i] -- swap x[i] and x[m] |
| 36 | i=i+1 |
| 37 | end |
| 38 | end |
| 39 | |
| 40 | function show(m,x) |
| 41 | io.write(m,"\n\t") |
| 42 | local i=1 |
| 43 | while x[i] do |
| 44 | io.write(x[i]) |
| 45 | i=i+1 |
| 46 | if x[i] then io.write(",") end |
| 47 | end |
| 48 | io.write("\n") |
| 49 | end |
| 50 | |
| 51 | function testsorts(x) |
| 52 | local n=1 |
| 53 | while x[n] do n=n+1 end; n=n-1 -- count elements |
| 54 | show("original",x) |
| 55 | qsort(x,1,n,function (x,y) return x<y end) |
| 56 | show("after quicksort",x) |
| 57 | selectionsort(x,n,function (x,y) return x>y end) |
| 58 | show("after reverse selection sort",x) |
| 59 | qsort(x,1,n,function (x,y) return x<y end) |
| 60 | show("after quicksort again",x) |
| 61 | end |
| 62 | |
| 63 | -- array to be sorted |
| 64 | x={"Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"} |
| 65 | |
| 66 | testsorts(x) |