--- a/thys2/Sort_ops.thy~ Sat Sep 13 10:07:14 2014 +0800
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,65 +0,0 @@
-theory Sort_ops
-imports Main
-begin
-
-ML {*
-local
- open Array
-in
-
- fun swap i j a = let val ai = sub(a, i);
- val _ = update(a, i, sub(a, j))
- val _ = update(a, j, ai)
- in
- a
- end
-
- fun pre_ops_of a =
- getM :|-- (fn (l, r, piv, i, j) => let
- (* val _ = Output.tracing ("("^string_of_int i^","^string_of_int j^")") *)
- in
- if (j < i) then (returnM (swap l j a) |-- returnM [(l, j)])
- else (if (sub(a, i) <= piv andalso i <= r) then (setM (l, r, piv, i + 1, j)
- |-- pre_ops_of a)
- else if (sub(a, j) > piv ) then (setM (l, r, piv, i, j - 1) |-- pre_ops_of a)
- else (pre_ops_of (swap i j a) :|-- (fn ops => returnM ((i,j)::ops))))
- end
- )
-
- fun ops_of i j a =
- if (j < i) then []
- else let
- val piv = sub(a, i)
- val (ops1, (_, _, _, i', j')) = pre_ops_of a (i, j, piv, i, j) |> normVal
- val ops2 = ops_of i (j' - 1) a
- val ops3 = ops_of (j' + 1) j a
- in
- ops1 @ ops2 @ ops3
- end
-
- fun rem_sdup [] = []
- | rem_sdup [c] = [c]
- | rem_sdup ((i, j)::(i', j')::xs) = if ((i = i' andalso j = j') orelse
- (i = j' andalso j = i')) then rem_sdup (xs)
- else (i, j)::rem_sdup ((i', j')::xs)
- fun sexec [] a = a
- | sexec ((i, j)::ops) a = sexec ops (swap i j a)
-
- fun swaps_of (l:int list) =
- ops_of 0 (List.length l - 1) (fromList l) |> rem_sdup
- |> filter (fn (i, j) => i <> j)
-end
-
-*}
-
-text {* Examples *}
-
-ML {*
- val l = [8, 9, 10, 1, 12, 13, 14]
- val ops = (swaps_of l)
- val a = (sexec ops (Array.fromList l))
- val l' = Array.vector a
- val a = sexec (rev ops) a
-*}
-
-end
\ No newline at end of file