src/HOL/Code_Evaluation.thy
author haftmann
Fri Feb 15 08:31:31 2013 +0100 (2013-02-15)
changeset 51144 0ede9e2266a8
parent 51143 0a2371e7ced3
child 51160 599ff65b85e2
permissions -rw-r--r--
less customary term_of conversions;
spurious side effect on method reflection
haftmann@32657
     1
(*  Title:      HOL/Code_Evaluation.thy
haftmann@28228
     2
    Author:     Florian Haftmann, TU Muenchen
haftmann@28228
     3
*)
haftmann@28228
     4
haftmann@28228
     5
header {* Term evaluation using the generic code generator *}
haftmann@28228
     6
haftmann@32657
     7
theory Code_Evaluation
haftmann@51126
     8
imports Typerep Limited_Sequence
haftmann@28228
     9
begin
haftmann@28228
    10
haftmann@28228
    11
subsection {* Term representation *}
haftmann@28228
    12
haftmann@28228
    13
subsubsection {* Terms and class @{text term_of} *}
haftmann@28228
    14
haftmann@28228
    15
datatype "term" = dummy_term
haftmann@28228
    16
haftmann@31205
    17
definition Const :: "String.literal \<Rightarrow> typerep \<Rightarrow> term" where
haftmann@28228
    18
  "Const _ _ = dummy_term"
haftmann@28228
    19
haftmann@28661
    20
definition App :: "term \<Rightarrow> term \<Rightarrow> term" where
haftmann@28228
    21
  "App _ _ = dummy_term"
haftmann@28228
    22
bulwahn@40638
    23
definition Abs :: "String.literal \<Rightarrow> typerep \<Rightarrow> term \<Rightarrow> term" where
bulwahn@40638
    24
  "Abs _ _ _ = dummy_term"
bulwahn@40638
    25
bulwahn@42979
    26
definition Free :: "String.literal \<Rightarrow> typerep \<Rightarrow> term" where
bulwahn@42979
    27
  "Free _ _ = dummy_term"
bulwahn@42979
    28
bulwahn@42979
    29
code_datatype Const App Abs Free
haftmann@28228
    30
haftmann@28335
    31
class term_of = typerep +
haftmann@31031
    32
  fixes term_of :: "'a \<Rightarrow> term"
haftmann@28228
    33
haftmann@28228
    34
lemma term_of_anything: "term_of x \<equiv> t"
haftmann@28228
    35
  by (rule eq_reflection) (cases "term_of x", cases t, simp)
haftmann@28228
    36
haftmann@31191
    37
definition valapp :: "('a \<Rightarrow> 'b) \<times> (unit \<Rightarrow> term)
haftmann@31178
    38
  \<Rightarrow> 'a \<times> (unit \<Rightarrow> term) \<Rightarrow> 'b \<times> (unit \<Rightarrow> term)" where
haftmann@31191
    39
  "valapp f x = (fst f (fst x), \<lambda>u. App (snd f ()) (snd x ()))"
haftmann@31178
    40
haftmann@32069
    41
lemma valapp_code [code, code_unfold]:
haftmann@31191
    42
  "valapp (f, tf) (x, tx) = (f x, \<lambda>u. App (tf ()) (tx ()))"
haftmann@31191
    43
  by (simp only: valapp_def fst_conv snd_conv)
haftmann@31178
    44
haftmann@28228
    45
haftmann@31178
    46
subsubsection {* Syntax *}
haftmann@31178
    47
haftmann@31191
    48
definition termify :: "'a \<Rightarrow> term" where
haftmann@31191
    49
  [code del]: "termify x = dummy_term"
haftmann@31191
    50
haftmann@31191
    51
abbreviation valtermify :: "'a \<Rightarrow> 'a \<times> (unit \<Rightarrow> term)" where
haftmann@31191
    52
  "valtermify x \<equiv> (x, \<lambda>u. termify x)"
haftmann@31178
    53
haftmann@31178
    54
locale term_syntax
haftmann@31178
    55
begin
haftmann@31178
    56
haftmann@31191
    57
notation App (infixl "<\<cdot>>" 70)
haftmann@31191
    58
  and valapp (infixl "{\<cdot>}" 70)
haftmann@31178
    59
haftmann@31178
    60
end
haftmann@31178
    61
haftmann@31178
    62
interpretation term_syntax .
haftmann@31178
    63
haftmann@31191
    64
no_notation App (infixl "<\<cdot>>" 70)
haftmann@31191
    65
  and valapp (infixl "{\<cdot>}" 70)
haftmann@31191
    66
haftmann@31191
    67
haftmann@39564
    68
subsection {* Tools setup and evaluation *}
haftmann@39564
    69
haftmann@39567
    70
lemma eq_eq_TrueD:
haftmann@39567
    71
  assumes "(x \<equiv> y) \<equiv> Trueprop True"
haftmann@39567
    72
  shows "x \<equiv> y"
haftmann@39567
    73
  using assms by simp
haftmann@39567
    74
wenzelm@48891
    75
ML_file "Tools/code_evaluation.ML"
haftmann@39564
    76
haftmann@39564
    77
code_reserved Eval Code_Evaluation
haftmann@39564
    78
haftmann@39564
    79
setup {* Code_Evaluation.setup *}
haftmann@39564
    80
haftmann@39564
    81
haftmann@39564
    82
subsection {* @{text term_of} instances *}
haftmann@39564
    83
haftmann@39564
    84
instantiation "fun" :: (typerep, typerep) term_of
haftmann@39564
    85
begin
haftmann@39564
    86
haftmann@39564
    87
definition
haftmann@39564
    88
  "term_of (f \<Colon> 'a \<Rightarrow> 'b) = Const (STR ''dummy_pattern'') (Typerep.Typerep (STR ''fun'')
haftmann@39564
    89
     [Typerep.typerep TYPE('a), Typerep.typerep TYPE('b)])"
haftmann@39564
    90
haftmann@39564
    91
instance ..
haftmann@39564
    92
haftmann@39564
    93
end
haftmann@39564
    94
haftmann@39564
    95
instantiation String.literal :: term_of
haftmann@39564
    96
begin
haftmann@39564
    97
haftmann@39564
    98
definition
haftmann@39564
    99
  "term_of s = App (Const (STR ''STR'')
haftmann@39564
   100
    (Typerep.Typerep (STR ''fun'') [Typerep.Typerep (STR ''list'') [Typerep.Typerep (STR ''char'') []],
haftmann@39564
   101
      Typerep.Typerep (STR ''String.literal'') []])) (term_of (String.explode s))"
haftmann@39564
   102
haftmann@39564
   103
instance ..
haftmann@39564
   104
haftmann@39564
   105
end
haftmann@39564
   106
haftmann@39564
   107
haftmann@39564
   108
subsubsection {* Code generator setup *}
haftmann@39564
   109
haftmann@39564
   110
lemmas [code del] = term.recs term.cases term.size
haftmann@39564
   111
lemma [code, code del]: "HOL.equal (t1\<Colon>term) t2 \<longleftrightarrow> HOL.equal t1 t2" ..
haftmann@39564
   112
haftmann@39564
   113
lemma [code, code del]: "(term_of \<Colon> typerep \<Rightarrow> term) = term_of" ..
haftmann@39564
   114
lemma [code, code del]: "(term_of \<Colon> term \<Rightarrow> term) = term_of" ..
haftmann@39564
   115
lemma [code, code del]: "(term_of \<Colon> String.literal \<Rightarrow> term) = term_of" ..
haftmann@39564
   116
lemma [code, code del]: "(Code_Evaluation.term_of \<Colon> 'a::{type, term_of} Predicate.pred \<Rightarrow> Code_Evaluation.term)
haftmann@39564
   117
  = Code_Evaluation.term_of" ..
haftmann@39564
   118
lemma [code, code del]: "(Code_Evaluation.term_of \<Colon> 'a::{type, term_of} Predicate.seq \<Rightarrow> Code_Evaluation.term)
haftmann@39564
   119
  = Code_Evaluation.term_of" ..
haftmann@39564
   120
haftmann@39564
   121
lemma term_of_char [unfolded typerep_fun_def typerep_char_def typerep_nibble_def, code]:
haftmann@39564
   122
  "Code_Evaluation.term_of c =
haftmann@39564
   123
    (let (n, m) = nibble_pair_of_char c
haftmann@39564
   124
  in Code_Evaluation.App (Code_Evaluation.App
haftmann@39564
   125
    (Code_Evaluation.Const (STR ''String.char.Char'') (TYPEREP(nibble \<Rightarrow> nibble \<Rightarrow> char)))
haftmann@39564
   126
      (Code_Evaluation.term_of n)) (Code_Evaluation.term_of m))"
haftmann@39564
   127
  by (subst term_of_anything) rule 
haftmann@39564
   128
haftmann@39564
   129
code_type "term"
haftmann@39564
   130
  (Eval "Term.term")
haftmann@39564
   131
bulwahn@42979
   132
code_const Const and App and Abs and Free
bulwahn@42979
   133
  (Eval "Term.Const/ ((_), (_))" and "Term.$/ ((_), (_))" and "Term.Abs/ ((_), (_), (_))"
bulwahn@42979
   134
     and "Term.Free/ ((_), (_))")
haftmann@39564
   135
haftmann@51144
   136
code_const "term_of \<Colon> integer \<Rightarrow> term"
haftmann@51144
   137
  (Eval "HOLogic.mk'_number/ HOLogic.code'_integerT")
haftmann@51144
   138
  
haftmann@39564
   139
code_const "term_of \<Colon> String.literal \<Rightarrow> term"
haftmann@39564
   140
  (Eval "HOLogic.mk'_literal")
haftmann@39564
   141
haftmann@39564
   142
code_reserved Eval HOLogic
haftmann@39564
   143
haftmann@39564
   144
haftmann@39564
   145
subsubsection {* Obfuscation *}
haftmann@31178
   146
haftmann@31178
   147
print_translation {*
haftmann@31178
   148
let
haftmann@31178
   149
  val term = Const ("<TERM>", dummyT);
haftmann@31178
   150
  fun tr1' [_, _] = term;
haftmann@31178
   151
  fun tr2' [] = term;
haftmann@31178
   152
in
haftmann@31178
   153
  [(@{const_syntax Const}, tr1'),
haftmann@31178
   154
    (@{const_syntax App}, tr1'),
haftmann@31178
   155
    (@{const_syntax dummy_term}, tr2')]
haftmann@31178
   156
end
haftmann@31178
   157
*}
haftmann@31178
   158
haftmann@31178
   159
haftmann@39564
   160
subsection {* Diagnostic *}
haftmann@39387
   161
haftmann@39387
   162
definition tracing :: "String.literal \<Rightarrow> 'a \<Rightarrow> 'a" where
haftmann@39387
   163
  [code del]: "tracing s x = x"
haftmann@39387
   164
bulwahn@33473
   165
code_const "tracing :: String.literal => 'a => 'a"
bulwahn@33473
   166
  (Eval "Code'_Evaluation.tracing")
bulwahn@33473
   167
haftmann@31178
   168
bulwahn@40638
   169
hide_const dummy_term valapp
haftmann@51144
   170
hide_const (open) Const App Abs Free termify valtermify term_of tracing
haftmann@28228
   171
haftmann@28228
   172
end
haftmann@51143
   173