author  bulwahn 
Fri, 03 Dec 2010 08:40:47 +0100  
changeset 40914  0c071c5202b5 
parent 40899  ef6fde932f4c 
child 40915  a4c956d1f91f 
permissions  rwrr 
40420
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

1 
(* Author: Lukas Bulwahn, TU Muenchen *) 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

2 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

3 
header {* Another simple counterexample generator *} 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

4 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

5 
theory Smallcheck 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

6 
imports Quickcheck 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

7 
uses ("Tools/smallvalue_generators.ML") 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

8 
begin 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

9 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

10 

40620  11 
subsection {* small value generator type classes *} 
40420
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

12 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

13 
class small = term_of + 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

14 
fixes small :: "('a \<Rightarrow> term list option) \<Rightarrow> code_numeral \<Rightarrow> term list option" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

15 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

16 
instantiation unit :: small 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

17 
begin 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

18 

40639
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

19 
definition "small f d = f ()" 
40420
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

20 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

21 
instance .. 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

22 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

23 
end 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

24 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

25 
instantiation int :: small 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

26 
begin 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

27 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

28 
function small' :: "(int => term list option) => int => int => term list option" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

29 
where "small' f d i = (if d < i then None else (case f i of Some t => Some t  None => small' f d (i + 1)))" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

30 
by pat_completeness auto 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

31 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

32 
termination 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

33 
by (relation "measure (%(_, d, i). nat (d + 1  i))") auto 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

34 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

35 
definition "small f d = small' f (Code_Numeral.int_of d) ( (Code_Numeral.int_of d))" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

36 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

37 
instance .. 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

38 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

39 
end 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

40 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

41 
instantiation prod :: (small, small) small 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

42 
begin 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

43 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

44 
definition 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

45 
"small f d = small (%x. small (%y. f (x, y)) d) d" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

46 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

47 
instance .. 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

48 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

49 
end 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

50 

40899
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

51 
subsection {* full small value generator type classes *} 
40639
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

52 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

53 
class full_small = term_of + 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

54 
fixes full_small :: "('a * (unit => term) \<Rightarrow> term list option) \<Rightarrow> code_numeral \<Rightarrow> term list option" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

55 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

56 
instantiation unit :: full_small 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

57 
begin 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

58 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

59 
definition "full_small f d = f (Code_Evaluation.valtermify ())" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

60 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

61 
instance .. 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

62 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

63 
end 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

64 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

65 
instantiation int :: full_small 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

66 
begin 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

67 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

68 
function full_small' :: "(int * (unit => term) => term list option) => int => int => term list option" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

69 
where "full_small' f d i = (if d < i then None else (case f (i, %_. Code_Evaluation.term_of i) of Some t => Some t  None => full_small' f d (i + 1)))" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

70 
by pat_completeness auto 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

71 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

72 
termination 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

73 
by (relation "measure (%(_, d, i). nat (d + 1  i))") auto 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

74 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

75 
definition "full_small f d = full_small' f (Code_Numeral.int_of d) ( (Code_Numeral.int_of d))" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

76 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

77 
instance .. 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

78 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

79 
end 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

80 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

81 
instantiation prod :: (full_small, full_small) full_small 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

82 
begin 
40899
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

83 

40639
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

84 
definition 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

85 
"full_small f d = full_small (%(x, t1). full_small (%(y, t2). f ((x, y), 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

86 
%u. Code_Evaluation.App (Code_Evaluation.App (Code_Evaluation.term_of (Pair :: 'a => 'b => ('a * 'b))) (t1 ())) (t2 ()))) d) d" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

87 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

88 
instance .. 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

89 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

90 
end 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

91 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

92 
instantiation "fun" :: ("{equal, full_small}", full_small) full_small 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

93 
begin 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

94 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

95 
fun full_small_fun' :: "(('a => 'b) * (unit => term) => term list option) => code_numeral => code_numeral => term list option" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

96 
where 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

97 
"full_small_fun' f i d = (if i > 1 then 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

98 
full_small (%(a, at). full_small (%(b, bt). 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

99 
full_small_fun' (%(g, gt). f (g(a := b), 
40899
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

100 
(%_. let T1 = (Typerep.typerep (TYPE('a))); 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

101 
T2 = (Typerep.typerep (TYPE('b))) 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

102 
in 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

103 
Code_Evaluation.App (Code_Evaluation.App (Code_Evaluation.App 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

104 
(Code_Evaluation.Const (STR ''Fun.fun_upd'') 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

105 
(Typerep.Typerep (STR ''fun'') [Typerep.Typerep (STR ''fun'') [T1, T2], 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

106 
Typerep.Typerep (STR ''fun'') [T1, Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''fun'') [T1, T2]]]])) 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

107 
(gt ())) (at ())) (bt ())))) (i  1) d) d) d 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

108 
else (if i > 0 then 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

109 
full_small (%(b, t). f (%_. b, %_. Code_Evaluation.Abs (STR ''x'') (Typerep.typerep TYPE('a)) (t ()))) d else None))" 
40639
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

110 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

111 
definition full_small_fun :: "(('a => 'b) * (unit => term) => term list option) => code_numeral => term list option" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

112 
where 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

113 
"full_small_fun f d = full_small_fun' f d d" 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

114 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

115 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

116 
instance .. 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

117 

f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

118 
end 
f1f0e6adca0a
adding function generation to SmallCheck; activating exhaustive search space testing
bulwahn
parents:
40620
diff
changeset

119 

40620  120 
subsection {* Defining combinators for any firstorder data type *} 
40420
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

121 

40899
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

122 
definition orelse :: "'a option => 'a option => 'a option" 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

123 
where 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

124 
[code_unfold]: "orelse x y = (case x of Some x' => Some x'  None => y)" 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

125 

ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

126 

40420
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

127 
definition catch_match :: "term list option => term list option => term list option" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

128 
where 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

129 
[code del]: "catch_match t1 t2 = (SOME t. t = t1 \<or> t = t2)" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

130 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

131 
code_const catch_match 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

132 
(SML "(_) handle Match => _") 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

133 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

134 
use "Tools/smallvalue_generators.ML" 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

135 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

136 
setup {* Smallvalue_Generators.setup *} 
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

137 

40899
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

138 
hide_fact orelse_def catch_match_def 
ef6fde932f4c
improving readability of Smallcheck theory; adding constant orelse to improve performance of the function package
bulwahn
parents:
40639
diff
changeset

139 
hide_const (open) orelse catch_match 
40420
552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

140 

552563ea3304
adding code and theory for smallvalue generators, but do not setup the interpretation yet
bulwahn
parents:
diff
changeset

141 
end 