21d3294c |
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) |