|
69252
|
1 |
(* Title: HOL/ex/Sorting_Algorithms_Examples.thy
|
|
|
2 |
Author: Florian Haftmann, TU Muenchen
|
|
|
3 |
*)
|
|
|
4 |
|
|
|
5 |
theory Sorting_Algorithms_Examples
|
|
|
6 |
imports Main "HOL-Library.Sorting_Algorithms"
|
|
|
7 |
begin
|
|
|
8 |
|
|
|
9 |
subsection \<open>Evaluation examples\<close>
|
|
|
10 |
|
|
|
11 |
definition int_abs_reversed :: "int comparator"
|
|
|
12 |
where "int_abs_reversed = key abs (reversed default)"
|
|
|
13 |
|
|
|
14 |
definition example_1 :: "int list"
|
|
|
15 |
where "example_1 = [65, 1705, -2322, 734, 4, (-17::int)]"
|
|
|
16 |
|
|
|
17 |
definition example_2 :: "int list"
|
|
|
18 |
where "example_2 = [-3000..3000]"
|
|
|
19 |
|
|
|
20 |
ML \<open>
|
|
|
21 |
local
|
|
|
22 |
|
|
|
23 |
val term_of_int_list = HOLogic.mk_list @{typ int}
|
|
|
24 |
o map (HOLogic.mk_number @{typ int} o @{code integer_of_int});
|
|
|
25 |
|
|
|
26 |
fun raw_sort (ctxt, ct, ks) = Thm.mk_binop @{cterm "Pure.eq :: int list \<Rightarrow> int list \<Rightarrow> prop"}
|
|
|
27 |
ct (Thm.cterm_of ctxt (term_of_int_list ks));
|
|
|
28 |
|
|
|
29 |
val (_, sort_oracle) = Context.>>> (Context.map_theory_result
|
|
|
30 |
(Thm.add_oracle (@{binding sort}, raw_sort)));
|
|
|
31 |
|
|
|
32 |
in
|
|
|
33 |
|
|
|
34 |
val sort_int_abs_reversed_conv = @{computation_conv "int list" terms: int_abs_reversed
|
|
|
35 |
"sort :: int comparator \<Rightarrow> _"
|
|
|
36 |
"quicksort :: int comparator \<Rightarrow> _"
|
|
|
37 |
"mergesort :: int comparator \<Rightarrow> _"
|
|
|
38 |
example_1 example_2
|
|
|
39 |
} (fn ctxt => fn ct => fn ks => sort_oracle (ctxt, ks, ct))
|
|
|
40 |
|
|
|
41 |
end
|
|
|
42 |
\<close>
|
|
|
43 |
|
|
|
44 |
declare [[code_timing]]
|
|
|
45 |
|
|
|
46 |
ML_val \<open>sort_int_abs_reversed_conv @{context}
|
|
|
47 |
@{cterm "sort int_abs_reversed example_1"}\<close>
|
|
|
48 |
|
|
|
49 |
ML_val \<open>sort_int_abs_reversed_conv @{context}
|
|
|
50 |
@{cterm "quicksort int_abs_reversed example_1"}\<close>
|
|
|
51 |
|
|
|
52 |
ML_val \<open>sort_int_abs_reversed_conv @{context}
|
|
|
53 |
@{cterm "mergesort int_abs_reversed example_1"}\<close>
|
|
|
54 |
|
|
|
55 |
ML_val \<open>sort_int_abs_reversed_conv @{context}
|
|
|
56 |
@{cterm "sort int_abs_reversed example_2"}\<close>
|
|
|
57 |
|
|
|
58 |
ML_val \<open>sort_int_abs_reversed_conv @{context}
|
|
|
59 |
@{cterm "quicksort int_abs_reversed example_2"}\<close>
|
|
|
60 |
|
|
|
61 |
ML_val \<open>sort_int_abs_reversed_conv @{context}
|
|
|
62 |
@{cterm "mergesort int_abs_reversed example_2"}\<close>
|
|
|
63 |
|
|
|
64 |
end
|