(*  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")

  (Eval "int")

code_instance int :: equal

  (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 "HOL.equal \<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