src/HOL/Library/Code_Integer.thy
author haftmann
Tue Jun 02 15:53:05 2009 +0200 (2009-06-02)
changeset 31377 a48f9ef9de15
parent 31205 98370b26c2ce
child 32657 5f13912245ff
permissions -rw-r--r--
OCaml builtin intergers are elusive; avoid
     1 (*  Title:      HOL/Library/Code_Integer.thy
     2     Author:     Florian Haftmann, TU Muenchen
     3 *)
     4 
     5 header {* Pretty integer literals for code generation *}
     6 
     7 theory Code_Integer
     8 imports Main
     9 begin
    10 
    11 text {*
    12   HOL numeral expressions are mapped to integer literals
    13   in target languages, using predefined target language
    14   operations for abstract integer operations.
    15 *}
    16 
    17 code_type int
    18   (SML "IntInf.int")
    19   (OCaml "Big'_int.big'_int")
    20   (Haskell "Integer")
    21 
    22 code_instance int :: eq
    23   (Haskell -)
    24 
    25 setup {*
    26   fold (Numeral.add_code @{const_name number_int_inst.number_of_int}
    27     true true) ["SML", "OCaml", "Haskell"]
    28 *}
    29 
    30 code_const "Int.Pls" and "Int.Min" and "Int.Bit0" and "Int.Bit1"
    31   (SML "raise/ Fail/ \"Pls\""
    32      and "raise/ Fail/ \"Min\""
    33      and "!((_);/ raise/ Fail/ \"Bit0\")"
    34      and "!((_);/ raise/ Fail/ \"Bit1\")")
    35   (OCaml "failwith/ \"Pls\""
    36      and "failwith/ \"Min\""
    37      and "!((_);/ failwith/ \"Bit0\")"
    38      and "!((_);/ failwith/ \"Bit1\")")
    39   (Haskell "error/ \"Pls\""
    40      and "error/ \"Min\""
    41      and "error/ \"Bit0\""
    42      and "error/ \"Bit1\"")
    43 
    44 code_const Int.pred
    45   (SML "IntInf.- ((_), 1)")
    46   (OCaml "Big'_int.pred'_big'_int")
    47   (Haskell "!(_/ -/ 1)")
    48 
    49 code_const Int.succ
    50   (SML "IntInf.+ ((_), 1)")
    51   (OCaml "Big'_int.succ'_big'_int")
    52   (Haskell "!(_/ +/ 1)")
    53 
    54 code_const "op + \<Colon> int \<Rightarrow> int \<Rightarrow> int"
    55   (SML "IntInf.+ ((_), (_))")
    56   (OCaml "Big'_int.add'_big'_int")
    57   (Haskell infixl 6 "+")
    58 
    59 code_const "uminus \<Colon> int \<Rightarrow> int"
    60   (SML "IntInf.~")
    61   (OCaml "Big'_int.minus'_big'_int")
    62   (Haskell "negate")
    63 
    64 code_const "op - \<Colon> int \<Rightarrow> int \<Rightarrow> int"
    65   (SML "IntInf.- ((_), (_))")
    66   (OCaml "Big'_int.sub'_big'_int")
    67   (Haskell infixl 6 "-")
    68 
    69 code_const "op * \<Colon> int \<Rightarrow> int \<Rightarrow> int"
    70   (SML "IntInf.* ((_), (_))")
    71   (OCaml "Big'_int.mult'_big'_int")
    72   (Haskell infixl 7 "*")
    73 
    74 code_const pdivmod
    75   (SML "(fn k => fn l =>/ IntInf.divMod/ (IntInf.abs k,/ IntInf.abs l))")
    76   (OCaml "(fun k -> fun l ->/ Big'_int.quomod'_big'_int/ (Big'_int.abs'_big'_int k)/ (Big'_int.abs'_big'_int l))")
    77   (Haskell "(\\k l ->/ divMod/ (abs k)/ (abs l))")
    78 
    79 code_const "eq_class.eq \<Colon> int \<Rightarrow> int \<Rightarrow> bool"
    80   (SML "!((_ : IntInf.int) = _)")
    81   (OCaml "Big'_int.eq'_big'_int")
    82   (Haskell infixl 4 "==")
    83 
    84 code_const "op \<le> \<Colon> int \<Rightarrow> int \<Rightarrow> bool"
    85   (SML "IntInf.<= ((_), (_))")
    86   (OCaml "Big'_int.le'_big'_int")
    87   (Haskell infix 4 "<=")
    88 
    89 code_const "op < \<Colon> int \<Rightarrow> int \<Rightarrow> bool"
    90   (SML "IntInf.< ((_), (_))")
    91   (OCaml "Big'_int.lt'_big'_int")
    92   (Haskell infix 4 "<")
    93 
    94 code_const Code_Numeral.int_of
    95   (SML "IntInf.fromInt")
    96   (OCaml "_")
    97   (Haskell "toEnum")
    98 
    99 code_reserved SML IntInf
   100 
   101 text {* Evaluation *}
   102 
   103 code_const "Code_Eval.term_of \<Colon> int \<Rightarrow> term"
   104   (Eval "HOLogic.mk'_number/ HOLogic.intT")
   105 
   106 end