author | wenzelm |
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(* Title: HOL/Code_Evaluation.thy |
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Author: Florian Haftmann, TU Muenchen |
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*) |
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section \<open>Term evaluation using the generic code generator\<close> |
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theory Code_Evaluation |
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imports Typerep Limited_Sequence |
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keywords "value" :: diag |
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begin |
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subsection \<open>Term representation\<close> |
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subsubsection \<open>Terms and class \<open>term_of\<close>\<close> |
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datatype (plugins only: extraction) "term" = dummy_term |
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definition Const :: "String.literal \<Rightarrow> typerep \<Rightarrow> term" where |
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"Const _ _ = dummy_term" |
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definition App :: "term \<Rightarrow> term \<Rightarrow> term" where |
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"App _ _ = dummy_term" |
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definition Abs :: "String.literal \<Rightarrow> typerep \<Rightarrow> term \<Rightarrow> term" where |
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"Abs _ _ _ = dummy_term" |
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definition Free :: "String.literal \<Rightarrow> typerep \<Rightarrow> term" where |
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"Free _ _ = dummy_term" |
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code_datatype Const App Abs Free |
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class term_of = typerep + |
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fixes term_of :: "'a \<Rightarrow> term" |
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lemma term_of_anything: "term_of x \<equiv> t" |
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by (rule eq_reflection) (cases "term_of x", cases t, simp) |
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definition valapp :: "('a \<Rightarrow> 'b) \<times> (unit \<Rightarrow> term) |
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\<Rightarrow> 'a \<times> (unit \<Rightarrow> term) \<Rightarrow> 'b \<times> (unit \<Rightarrow> term)" where |
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"valapp f x = (fst f (fst x), \<lambda>u. App (snd f ()) (snd x ()))" |
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lemma valapp_code [code, code_unfold]: |
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"valapp (f, tf) (x, tx) = (f x, \<lambda>u. App (tf ()) (tx ()))" |
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by (simp only: valapp_def fst_conv snd_conv) |
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subsubsection \<open>Syntax\<close> |
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definition termify :: "'a \<Rightarrow> term" where |
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[code del]: "termify x = dummy_term" |
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abbreviation valtermify :: "'a \<Rightarrow> 'a \<times> (unit \<Rightarrow> term)" where |
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"valtermify x \<equiv> (x, \<lambda>u. termify x)" |
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locale term_syntax |
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begin |
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notation App (infixl "<\<cdot>>" 70) |
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and valapp (infixl "{\<cdot>}" 70) |
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end |
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interpretation term_syntax . |
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no_notation App (infixl "<\<cdot>>" 70) |
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and valapp (infixl "{\<cdot>}" 70) |
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subsection \<open>Tools setup and evaluation\<close> |
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context |
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begin |
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qualified definition TERM_OF :: "'a::term_of itself" |
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where |
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"TERM_OF = snd (Code_Evaluation.term_of :: 'a \<Rightarrow> _, TYPE('a))" |
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qualified definition TERM_OF_EQUAL :: "'a::term_of itself" |
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where |
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"TERM_OF_EQUAL = snd (\<lambda>(a::'a). (Code_Evaluation.term_of a, HOL.eq a), TYPE('a))" |
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end |
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lemma eq_eq_TrueD: |
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fixes x y :: "'a::{}" |
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assumes "(x \<equiv> y) \<equiv> Trueprop True" |
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shows "x \<equiv> y" |
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using assms by simp |
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code_printing |
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type_constructor "term" \<rightharpoonup> (Eval) "Term.term" |
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| constant Const \<rightharpoonup> (Eval) "Term.Const/ ((_), (_))" |
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| constant App \<rightharpoonup> (Eval) "Term.$/ ((_), (_))" |
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| constant Abs \<rightharpoonup> (Eval) "Term.Abs/ ((_), (_), (_))" |
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| constant Free \<rightharpoonup> (Eval) "Term.Free/ ((_), (_))" |
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ML_file \<open>Tools/code_evaluation.ML\<close> |
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code_reserved Eval Code_Evaluation |
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ML_file \<open>~~/src/HOL/Tools/value_command.ML\<close> |
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subsection \<open>Dedicated \<open>term_of\<close> instances\<close> |
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instantiation "fun" :: (typerep, typerep) term_of |
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begin |
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definition |
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"term_of (f :: 'a \<Rightarrow> 'b) = |
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Const (STR ''Pure.dummy_pattern'') |
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(Typerep.Typerep (STR ''fun'') [Typerep.typerep TYPE('a), Typerep.typerep TYPE('b)])" |
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instance .. |
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end |
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declare [[code drop: rec_term case_term |
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"term_of :: typerep \<Rightarrow> _" "term_of :: term \<Rightarrow> _" "term_of :: String.literal \<Rightarrow> _" |
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"term_of :: _ Predicate.pred \<Rightarrow> term" "term_of :: _ Predicate.seq \<Rightarrow> term"]] |
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code_printing |
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constant "term_of :: integer \<Rightarrow> term" \<rightharpoonup> (Eval) "HOLogic.mk'_number/ HOLogic.code'_integerT" |
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| constant "term_of :: String.literal \<Rightarrow> term" \<rightharpoonup> (Eval) "HOLogic.mk'_literal" |
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declare [[code drop: "term_of :: integer \<Rightarrow> _"]] |
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lemma term_of_integer [unfolded typerep_fun_def typerep_num_def typerep_integer_def, code]: |
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"term_of (i :: integer) = |
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(if i > 0 then |
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App (Const (STR ''Num.numeral_class.numeral'') (TYPEREP(num \<Rightarrow> integer))) |
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(term_of (num_of_integer i)) |
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else if i = 0 then Const (STR ''Groups.zero_class.zero'') TYPEREP(integer) |
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else |
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App (Const (STR ''Groups.uminus_class.uminus'') TYPEREP(integer \<Rightarrow> integer)) |
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(term_of (- i)))" |
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by (rule term_of_anything [THEN meta_eq_to_obj_eq]) |
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code_reserved Eval HOLogic |
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subsection \<open>Generic reification\<close> |
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ML_file \<open>~~/src/HOL/Tools/reification.ML\<close> |
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subsection \<open>Diagnostic\<close> |
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definition tracing :: "String.literal \<Rightarrow> 'a \<Rightarrow> 'a" where |
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[code del]: "tracing s x = x" |
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code_printing |
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constant "tracing :: String.literal => 'a => 'a" \<rightharpoonup> (Eval) "Code'_Evaluation.tracing" |
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hide_const dummy_term valapp |
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hide_const (open) Const App Abs Free termify valtermify term_of tracing |
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end |