Theory Code_Test

theory Code_Test
imports Main
(*  Title:      HOL/Library/Code_Test.thy
    Author:     Andreas Lochbihler, ETH Z├╝rich

Test infrastructure for the code generator.
*)

theory Code_Test
imports Main
keywords "test_code" :: diag
begin

subsection ‹YXML encoding for @{typ Code_Evaluation.term}›

datatype (plugins del: code size "quickcheck") yxml_of_term = YXML

lemma yot_anything: "x = (y :: yxml_of_term)"
by(cases x y rule: yxml_of_term.exhaust[case_product yxml_of_term.exhaust])(simp)

definition yot_empty :: yxml_of_term where [code del]: "yot_empty = YXML"
definition yot_literal :: "String.literal ⇒ yxml_of_term"
  where [code del]: "yot_literal _ = YXML"
definition yot_append :: "yxml_of_term ⇒ yxml_of_term ⇒ yxml_of_term"
  where [code del]: "yot_append _ _ = YXML"
definition yot_concat :: "yxml_of_term list ⇒ yxml_of_term"
  where [code del]: "yot_concat _ = YXML"

text ‹Serialise @{typ yxml_of_term} to native string of target language›

code_printing type_constructor yxml_of_term
    (SML) "string"
  and (OCaml) "string"
  and (Haskell) "String"
  and (Scala) "String"
| constant yot_empty
    (SML) "\"\""
  and (OCaml) "\"\""
  and (Haskell) "\"\""
  and (Scala) "\"\""
| constant yot_literal
    (SML) "_"
  and (OCaml) "_"
  and (Haskell) "_"
  and (Scala) "_"
| constant yot_append
   (SML) "String.concat [(_), (_)]"
  and (OCaml) "String.concat \"\" [(_); (_)]"
  and (Haskell) infixr 5 "++"
  and (Scala) infixl 5 "+"
| constant yot_concat
   (SML) "String.concat"
  and (OCaml) "String.concat \"\""
  and (Haskell) "Prelude.concat"
  and (Scala) "_.mkString(\"\")"

text ‹
  Stripped-down implementations of Isabelle's XML tree with YXML encoding as
  defined in 🗏‹~~/src/Pure/PIDE/xml.ML›, 🗏‹~~/src/Pure/PIDE/yxml.ML›
  sufficient to encode @{typ "Code_Evaluation.term"} as in
  🗏‹~~/src/Pure/term_xml.ML›.
›

datatype (plugins del: code size "quickcheck") xml_tree = XML_Tree

lemma xml_tree_anything: "x = (y :: xml_tree)"
by(cases x y rule: xml_tree.exhaust[case_product xml_tree.exhaust])(simp)

context begin
local_setup ‹Local_Theory.map_background_naming (Name_Space.mandatory_path "xml")›

type_synonym attributes = "(String.literal × String.literal) list"
type_synonym body = "xml_tree list"

definition Elem :: "String.literal ⇒ attributes ⇒ xml_tree list ⇒ xml_tree"
where [code del]: "Elem _ _ _ = XML_Tree"

definition Text :: "String.literal ⇒ xml_tree"
where [code del]: "Text _ = XML_Tree"

definition node :: "xml_tree list ⇒ xml_tree"
where "node ts = Elem (STR '':'') [] ts"

definition tagged :: "String.literal ⇒ String.literal option ⇒ xml_tree list ⇒ xml_tree"
where "tagged tag x ts = Elem tag (case x of None ⇒ [] | Some x' ⇒ [(STR ''0'', x')]) ts"

definition list where "list f xs = map (node ∘ f) xs"

definition X :: yxml_of_term where "X = yot_literal (STR 0x05)"
definition Y :: yxml_of_term where "Y = yot_literal (STR 0x06)"
definition XY :: yxml_of_term where "XY = yot_append X Y"
definition XYX :: yxml_of_term where "XYX = yot_append XY X"

end

code_datatype xml.Elem xml.Text

definition yxml_string_of_xml_tree :: "xml_tree ⇒ yxml_of_term ⇒ yxml_of_term"
where [code del]: "yxml_string_of_xml_tree _ _ = YXML"

lemma yxml_string_of_xml_tree_code [code]:
  "yxml_string_of_xml_tree (xml.Elem name atts ts) rest =
   yot_append xml.XY (
   yot_append (yot_literal name) (
   foldr (λ(a, x) rest.
     yot_append xml.Y (
     yot_append (yot_literal a) (
     yot_append (yot_literal (STR ''='')) (
     yot_append (yot_literal x) rest)))) atts (
   foldr yxml_string_of_xml_tree ts (
   yot_append xml.XYX rest))))"
  "yxml_string_of_xml_tree (xml.Text s) rest = yot_append (yot_literal s) rest"
by(rule yot_anything)+

definition yxml_string_of_body :: "xml.body ⇒ yxml_of_term"
where "yxml_string_of_body ts = foldr yxml_string_of_xml_tree ts yot_empty"

text ‹
  Encoding @{typ Code_Evaluation.term} into XML trees as defined in
  🗏‹~~/src/Pure/term_xml.ML›.
›

definition xml_of_typ :: "Typerep.typerep ⇒ xml.body"
where [code del]: "xml_of_typ _ = [XML_Tree]"

definition xml_of_term :: "Code_Evaluation.term ⇒ xml.body"
where [code del]: "xml_of_term _ = [XML_Tree]"

lemma xml_of_typ_code [code]:
  "xml_of_typ (typerep.Typerep t args) = [xml.tagged (STR ''0'') (Some t) (xml.list xml_of_typ args)]"
by(simp add: xml_of_typ_def xml_tree_anything)

lemma xml_of_term_code [code]:
  "xml_of_term (Code_Evaluation.Const x ty) = [xml.tagged (STR ''0'') (Some x) (xml_of_typ ty)]"
  "xml_of_term (Code_Evaluation.App t1 t2)  = [xml.tagged (STR ''5'') None [xml.node (xml_of_term t1), xml.node (xml_of_term t2)]]"
  "xml_of_term (Code_Evaluation.Abs x ty t) = [xml.tagged (STR ''4'') (Some x) [xml.node (xml_of_typ ty), xml.node (xml_of_term t)]]"
  ― ‹FIXME: @{const Code_Evaluation.Free} is used only in @{theory "HOL.Quickcheck_Narrowing"} to represent
    uninstantiated parameters in constructors. Here, we always translate them to @{ML Free} variables.›
  "xml_of_term (Code_Evaluation.Free x ty)  = [xml.tagged (STR ''1'') (Some x) (xml_of_typ ty)]"
by(simp_all add: xml_of_term_def xml_tree_anything)

definition yxml_string_of_term :: "Code_Evaluation.term ⇒ yxml_of_term"
where "yxml_string_of_term = yxml_string_of_body ∘ xml_of_term"

subsection ‹Test engine and drivers›

ML_file "code_test.ML"

end