(*  Title:      HOL/Library/Code_Integer.thy

     Author:     Florian Haftmann, TU Muenchen

 *)

 header {* Pretty integer literals for code generation *}

 theory Code_Integer

 imports Main Code_Natural

 begin

 text {*

   HOL numeral expressions are mapped to integer literals

   in target languages, using predefined target language

   operations for abstract integer operations.

 *}

 code_type int

   (SML "IntInf.int")

   (OCaml "Big'_int.big'_int")

   (Haskell "Integer")

   (Scala "BigInt")

 code_instance int :: eq

   (Haskell -)

 setup {*

   fold (Numeral.add_code @{const_name number_int_inst.number_of_int}

     true Code_Printer.literal_numeral) ["SML", "OCaml", "Haskell", "Scala"]

 *}

 code_const "Int.Pls" and "Int.Min" and "Int.Bit0" and "Int.Bit1"

   (SML "raise/ Fail/ \"Pls\""

      and "raise/ Fail/ \"Min\""

      and "!((_);/ raise/ Fail/ \"Bit0\")"

      and "!((_);/ raise/ Fail/ \"Bit1\")")

   (OCaml "failwith/ \"Pls\""

      and "failwith/ \"Min\""

      and "!((_);/ failwith/ \"Bit0\")"

      and "!((_);/ failwith/ \"Bit1\")")

   (Haskell "error/ \"Pls\""

      and "error/ \"Min\""

      and "error/ \"Bit0\""

      and "error/ \"Bit1\"")

   (Scala "!error(\"Pls\")"

      and "!error(\"Min\")"

      and "!error(\"Bit0\")"

      and "!error(\"Bit1\")")

 code_const Int.pred

   (SML "IntInf.- ((_), 1)")

   (OCaml "Big'_int.pred'_big'_int")

   (Haskell "!(_/ -/ 1)")

   (Scala "!(_/ -/ 1)")

   (Eval "!(_/ -/ 1)")

 code_const Int.succ

   (SML "IntInf.+ ((_), 1)")

   (OCaml "Big'_int.succ'_big'_int")

   (Haskell "!(_/ +/ 1)")

   (Scala "!(_/ +/ 1)")

   (Eval "!(_/ +/ 1)")

 code_const "op + \<Colon> int \<Rightarrow> int \<Rightarrow> int"

   (SML "IntInf.+ ((_), (_))")

   (OCaml "Big'_int.add'_big'_int")

   (Haskell infixl 6 "+")

   (Scala infixl 7 "+")

   (Eval infixl 8 "+")

 code_const "uminus \<Colon> int \<Rightarrow> int"

   (SML "IntInf.~")

   (OCaml "Big'_int.minus'_big'_int")

   (Haskell "negate")

   (Scala "!(- _)")

   (Eval "~/ _")

 code_const "op - \<Colon> int \<Rightarrow> int \<Rightarrow> int"

   (SML "IntInf.- ((_), (_))")

   (OCaml "Big'_int.sub'_big'_int")

   (Haskell infixl 6 "-")

   (Scala infixl 7 "-")

   (Eval infixl 8 "-")

 code_const "op * \<Colon> int \<Rightarrow> int \<Rightarrow> int"

   (SML "IntInf.* ((_), (_))")

   (OCaml "Big'_int.mult'_big'_int")

   (Haskell infixl 7 "*")

   (Scala infixl 8 "*")

   (Eval infixl 9 "*")

 code_const pdivmod

   (SML "IntInf.divMod/ (IntInf.abs _,/ IntInf.abs _)")

   (OCaml "Big'_int.quomod'_big'_int/ (Big'_int.abs'_big'_int _)/ (Big'_int.abs'_big'_int _)")

   (Haskell "divMod/ (abs _)/ (abs _)")

   (Scala "!((k: BigInt) => (l: BigInt) =>/ if (l == 0)/ (BigInt(0), k) else/ (k.abs '/% l.abs))")

   (Eval "Integer.div'_mod/ (abs _)/ (abs _)")

 code_const "eq_class.eq \<Colon> int \<Rightarrow> int \<Rightarrow> bool"

   (SML "!((_ : IntInf.int) = _)")

   (OCaml "Big'_int.eq'_big'_int")

   (Haskell infixl 4 "==")

   (Scala infixl 5 "==")

   (Eval infixl 6 "=")

 code_const "op \<le> \<Colon> int \<Rightarrow> int \<Rightarrow> bool"

   (SML "IntInf.<= ((_), (_))")

   (OCaml "Big'_int.le'_big'_int")

   (Haskell infix 4 "<=")

   (Scala infixl 4 "<=")

   (Eval infixl 6 "<=")

 code_const "op < \<Colon> int \<Rightarrow> int \<Rightarrow> bool"

   (SML "IntInf.< ((_), (_))")

   (OCaml "Big'_int.lt'_big'_int")

   (Haskell infix 4 "<")

   (Scala infixl 4 "<")

   (Eval infixl 6 "<")

 code_const Code_Numeral.int_of

   (SML "IntInf.fromInt")

   (OCaml "_")

   (Haskell "toInteger")

   (Scala "!_.as'_BigInt")

   (Eval "_")

 text {* Evaluation *}

 code_const "Code_Evaluation.term_of \<Colon> int \<Rightarrow> term"

   (Eval "HOLogic.mk'_number/ HOLogic.intT")

 end