added
authorhaftmann
Fri, 12 Oct 2007 10:26:18 +0200
changeset 24999 1dbe785ed529
parent 24998 a339b33adfaf
child 25000 1ab44e69652f
added
src/HOL/Library/Code_Char.thy
src/HOL/Library/Code_Char_chr.thy
src/HOL/Library/Code_Index.thy
src/HOL/Library/Code_Integer.thy
src/HOL/Library/Code_Message.thy
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Code_Char.thy	Fri Oct 12 10:26:18 2007 +0200
@@ -0,0 +1,50 @@
+(*  Title:      HOL/Library/Code_Char.thy
+    ID:         $Id$
+    Author:     Florian Haftmann
+*)
+
+header {* Code generation of pretty characters (and strings) *}
+
+theory Code_Char
+imports List
+begin
+
+code_type char
+  (SML "char")
+  (OCaml "char")
+  (Haskell "Char")
+
+setup {*
+let
+  val charr = @{const_name Char}
+  val nibbles = [@{const_name Nibble0}, @{const_name Nibble1},
+    @{const_name Nibble2}, @{const_name Nibble3},
+    @{const_name Nibble4}, @{const_name Nibble5},
+    @{const_name Nibble6}, @{const_name Nibble7},
+    @{const_name Nibble8}, @{const_name Nibble9},
+    @{const_name NibbleA}, @{const_name NibbleB},
+    @{const_name NibbleC}, @{const_name NibbleD},
+    @{const_name NibbleE}, @{const_name NibbleF}];
+in
+  fold (fn target => CodeTarget.add_pretty_char target charr nibbles)
+    ["SML", "OCaml", "Haskell"]
+  #> CodeTarget.add_pretty_list_string "Haskell"
+    @{const_name Nil} @{const_name Cons} charr nibbles
+end
+*}
+
+code_instance char :: eq
+  (Haskell -)
+
+code_reserved SML
+  char
+
+code_reserved OCaml
+  char
+
+code_const "op = \<Colon> char \<Rightarrow> char \<Rightarrow> bool"
+  (SML "!((_ : char) = _)")
+  (OCaml "!((_ : char) = _)")
+  (Haskell infixl 4 "==")
+
+end
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Code_Char_chr.thy	Fri Oct 12 10:26:18 2007 +0200
@@ -0,0 +1,45 @@
+(*  Title:      HOL/Library/Code_Char_chr.thy
+    ID:         $Id$
+    Author:     Florian Haftmann
+*)
+
+header {* Code generation of pretty characters with character codes *}
+
+theory Code_Char_chr
+imports Char_nat Code_Char Code_Integer
+begin
+
+definition
+  "int_of_char = int o nat_of_char"
+
+lemma [code func]:
+  "nat_of_char = nat o int_of_char"
+  unfolding int_of_char_def by (simp add: expand_fun_eq)
+
+definition
+  "char_of_int = char_of_nat o nat"
+
+lemma [code func]:
+  "char_of_nat = char_of_int o int"
+  unfolding char_of_int_def by (simp add: expand_fun_eq)
+
+lemmas [code func del] = char.recs char.cases char.size
+
+lemma [code func, code inline]:
+  "char_rec f c = split f (nibble_pair_of_nat (nat_of_char c))"
+  by (cases c) (auto simp add: nibble_pair_of_nat_char)
+
+lemma [code func, code inline]:
+  "char_case f c = split f (nibble_pair_of_nat (nat_of_char c))"
+  by (cases c) (auto simp add: nibble_pair_of_nat_char)
+
+lemma [code func]:
+  "size (c\<Colon>char) = 0"
+  by (cases c) auto
+
+code_const int_of_char and char_of_int
+  (SML "!(IntInf.fromInt o Char.ord)" and "!(Char.chr o IntInf.toInt)")
+  (OCaml "Big'_int.big'_int'_of'_int (Char.code _)" and "Char.chr (Big'_int.int'_of'_big'_int _)")
+  (Haskell "toInteger (fromEnum (_ :: Char))" and "!(let chr k | k < 256 = toEnum k :: Char in chr . fromInteger)")
+
+end
\ No newline at end of file
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Code_Index.thy	Fri Oct 12 10:26:18 2007 +0200
@@ -0,0 +1,255 @@
+(*  ID:         $Id$
+    Author:     Florian Haftmann, TU Muenchen
+*)
+
+header {* Type of indices *}
+
+theory Code_Index
+imports PreList
+begin
+
+text {*
+  Indices are isomorphic to HOL @{typ int} but
+  mapped to target-language builtin integers
+*}
+
+subsection {* Datatype of indices *}
+
+datatype index = index_of_int int
+
+lemmas [code func del] = index.recs index.cases
+
+fun
+  int_of_index :: "index \<Rightarrow> int"
+where
+  "int_of_index (index_of_int k) = k"
+lemmas [code func del] = int_of_index.simps
+
+lemma index_id [simp]:
+  "index_of_int (int_of_index k) = k"
+  by (cases k) simp_all
+
+lemma index:
+  "(\<And>k\<Colon>index. PROP P k) \<equiv> (\<And>k\<Colon>int. PROP P (index_of_int k))"
+proof
+  fix k :: int
+  assume "\<And>k\<Colon>index. PROP P k"
+  then show "PROP P (index_of_int k)" .
+next
+  fix k :: index
+  assume "\<And>k\<Colon>int. PROP P (index_of_int k)"
+  then have "PROP P (index_of_int (int_of_index k))" .
+  then show "PROP P k" by simp
+qed
+
+lemma [code func]: "size (k\<Colon>index) = 0"
+  by (cases k) simp_all
+
+
+subsection {* Built-in integers as datatype on numerals *}
+
+instance index :: number
+  "number_of \<equiv> index_of_int" ..
+
+code_datatype "number_of \<Colon> int \<Rightarrow> index"
+
+lemma number_of_index_id [simp]:
+  "number_of (int_of_index k) = k"
+  unfolding number_of_index_def by simp
+
+lemma number_of_index_shift:
+  "number_of k = index_of_int (number_of k)"
+  by (simp add: number_of_is_id number_of_index_def)
+
+
+subsection {* Basic arithmetic *}
+
+instance index :: zero
+  [simp]: "0 \<equiv> index_of_int 0" ..
+lemmas [code func del] = zero_index_def
+
+instance index :: one
+  [simp]: "1 \<equiv> index_of_int 1" ..
+lemmas [code func del] = one_index_def
+
+instance index :: plus
+  [simp]: "k + l \<equiv> index_of_int (int_of_index k + int_of_index l)" ..
+lemmas [code func del] = plus_index_def
+lemma plus_index_code [code func]:
+  "index_of_int k + index_of_int l = index_of_int (k + l)"
+  unfolding plus_index_def by simp
+
+instance index :: minus
+  [simp]: "- k \<equiv> index_of_int (- int_of_index k)"
+  [simp]: "k - l \<equiv> index_of_int (int_of_index k - int_of_index l)" ..
+lemmas [code func del] = uminus_index_def minus_index_def
+lemma uminus_index_code [code func]:
+  "- index_of_int k \<equiv> index_of_int (- k)"
+  unfolding uminus_index_def by simp
+lemma minus_index_code [code func]:
+  "index_of_int k - index_of_int l = index_of_int (k - l)"
+  unfolding minus_index_def by simp
+
+instance index :: times
+  [simp]: "k * l \<equiv> index_of_int (int_of_index k * int_of_index l)" ..
+lemmas [code func del] = times_index_def
+lemma times_index_code [code func]:
+  "index_of_int k * index_of_int l = index_of_int (k * l)"
+  unfolding times_index_def by simp
+
+instance index :: ord
+  [simp]: "k \<le> l \<equiv> int_of_index k \<le> int_of_index l"
+  [simp]: "k < l \<equiv> int_of_index k < int_of_index l" ..
+lemmas [code func del] = less_eq_index_def less_index_def
+lemma less_eq_index_code [code func]:
+  "index_of_int k \<le> index_of_int l \<longleftrightarrow> k \<le> l"
+  unfolding less_eq_index_def by simp
+lemma less_index_code [code func]:
+  "index_of_int k < index_of_int l \<longleftrightarrow> k < l"
+  unfolding less_index_def by simp
+
+instance index :: ring_1
+  by default (auto simp add: left_distrib right_distrib)
+
+lemma of_nat_index: "of_nat n = index_of_int (of_nat n)"
+proof (induct n)
+  case 0 show ?case by simp
+next
+  case (Suc n)
+  then have "int_of_index (index_of_int (int n))
+    = int_of_index (of_nat n)" by simp
+  then have "int n = int_of_index (of_nat n)" by simp
+  then show ?case by simp
+qed
+
+instance index :: number_ring
+  by default
+    (simp_all add: left_distrib number_of_index_def of_int_of_nat of_nat_index)
+
+lemma zero_index_code [code inline, code func]:
+  "(0\<Colon>index) = Numeral0"
+  by simp
+
+lemma one_index_code [code inline, code func]:
+  "(1\<Colon>index) = Numeral1"
+  by simp
+
+instance index :: abs
+  "\<bar>k\<bar> \<equiv> if k < 0 then -k else k" ..
+
+lemma index_of_int [code func]:
+  "index_of_int k = (if k = 0 then 0
+    else if k = -1 then -1
+    else let (l, m) = divAlg (k, 2) in 2 * index_of_int l +
+      (if m = 0 then 0 else 1))"
+  by (simp add: number_of_index_shift Let_def split_def divAlg_mod_div) arith
+
+
+subsection {* Conversion to and from @{typ nat} *}
+
+definition
+  nat_of_index :: "index \<Rightarrow> nat"
+where
+  [code func del]: "nat_of_index = nat o int_of_index"
+
+definition
+  nat_of_index_aux :: "index \<Rightarrow> nat \<Rightarrow> nat" where
+  [code func del]: "nat_of_index_aux i n = nat_of_index i + n"
+
+lemma nat_of_index_aux_code [code]:
+  "nat_of_index_aux i n = (if i \<le> 0 then n else nat_of_index_aux (i - 1) (Suc n))"
+  by (auto simp add: nat_of_index_aux_def nat_of_index_def)
+
+lemma nat_of_index_code [code]:
+  "nat_of_index i = nat_of_index_aux i 0"
+  by (simp add: nat_of_index_aux_def)
+
+definition
+  index_of_nat :: "nat \<Rightarrow> index"
+where
+  [code func del]: "index_of_nat = index_of_int o of_nat"
+
+lemma index_of_nat [code func]:
+  "index_of_nat 0 = 0"
+  "index_of_nat (Suc n) = index_of_nat n + 1"
+  unfolding index_of_nat_def by simp_all
+
+lemma index_nat_id [simp]:
+  "nat_of_index (index_of_nat n) = n"
+  "index_of_nat (nat_of_index i) = (if i \<le> 0 then 0 else i)"
+  unfolding index_of_nat_def nat_of_index_def by simp_all
+
+
+subsection {* ML interface *}
+
+ML {*
+structure Index =
+struct
+
+fun mk k = @{term index_of_int} $ HOLogic.mk_number @{typ index} k;
+
+end;
+*}
+
+
+subsection {* Code serialization *}
+
+code_type index
+  (SML "int")
+  (OCaml "int")
+  (Haskell "Integer")
+
+code_instance index :: eq
+  (Haskell -)
+
+setup {*
+  fold (fn target => CodeTarget.add_pretty_numeral target true
+    @{const_name number_index_inst.number_of_index}
+    @{const_name Numeral.B0} @{const_name Numeral.B1}
+    @{const_name Numeral.Pls} @{const_name Numeral.Min}
+    @{const_name Numeral.Bit}
+  ) ["SML", "OCaml", "Haskell"]
+*}
+
+code_reserved SML int
+code_reserved OCaml int
+
+code_const "op + \<Colon> index \<Rightarrow> index \<Rightarrow> index"
+  (SML "Int.+ ((_), (_))")
+  (OCaml "Pervasives.+")
+  (Haskell infixl 6 "+")
+
+code_const "uminus \<Colon> index \<Rightarrow> index"
+  (SML "Int.~")
+  (OCaml "Pervasives.~-")
+  (Haskell "negate")
+
+code_const "op - \<Colon> index \<Rightarrow> index \<Rightarrow> index"
+  (SML "Int.- ((_), (_))")
+  (OCaml "Pervasives.-")
+  (Haskell infixl 6 "-")
+
+code_const "op * \<Colon> index \<Rightarrow> index \<Rightarrow> index"
+  (SML "Int.* ((_), (_))")
+  (OCaml "Pervasives.*")
+  (Haskell infixl 7 "*")
+
+code_const "op = \<Colon> index \<Rightarrow> index \<Rightarrow> bool"
+  (SML "!((_ : Int.int) = _)")
+  (OCaml "!((_ : Pervasives.int) = _)")
+  (Haskell infixl 4 "==")
+
+code_const "op \<le> \<Colon> index \<Rightarrow> index \<Rightarrow> bool"
+  (SML "Int.<= ((_), (_))")
+  (OCaml "!((_ : Pervasives.int) <= _)")
+  (Haskell infix 4 "<=")
+
+code_const "op < \<Colon> index \<Rightarrow> index \<Rightarrow> bool"
+  (SML "Int.< ((_), (_))")
+  (OCaml "!((_ : Pervasives.int) < _)")
+  (Haskell infix 4 "<")
+
+code_reserved SML Int
+code_reserved OCaml Pervasives
+
+end
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Code_Integer.thy	Fri Oct 12 10:26:18 2007 +0200
@@ -0,0 +1,99 @@
+(*  Title:      HOL/Library/Code_Integer.thy
+    ID:         $Id$
+    Author:     Florian Haftmann, TU Muenchen
+*)
+
+header {* Pretty integer literals for code generation *}
+
+theory Code_Integer
+imports IntArith Code_Index
+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")
+
+code_instance int :: eq
+  (Haskell -)
+
+setup {*
+  fold (fn target => CodeTarget.add_pretty_numeral target true
+    @{const_name number_int_inst.number_of_int}
+    @{const_name Numeral.B0} @{const_name Numeral.B1}
+    @{const_name Numeral.Pls} @{const_name Numeral.Min}
+    @{const_name Numeral.Bit}
+  ) ["SML", "OCaml", "Haskell"]
+*}
+
+code_const "Numeral.Pls" and "Numeral.Min" and "Numeral.Bit"
+  (SML "raise/ Fail/ \"Pls\""
+     and "raise/ Fail/ \"Min\""
+     and "!((_);/ (_);/ raise/ Fail/ \"Bit\")")
+  (OCaml "failwith/ \"Pls\""
+     and "failwith/ \"Min\""
+     and "!((_);/ (_);/ failwith/ \"Bit\")")
+  (Haskell "error/ \"Pls\""
+     and "error/ \"Min\""
+     and "error/ \"Bit\"")
+
+code_const Numeral.pred
+  (SML "IntInf.- ((_), 1)")
+  (OCaml "Big'_int.pred'_big'_int")
+  (Haskell "!(_/ -/ 1)")
+
+code_const Numeral.succ
+  (SML "IntInf.+ ((_), 1)")
+  (OCaml "Big'_int.succ'_big'_int")
+  (Haskell "!(_/ +/ 1)")
+
+code_const "op + \<Colon> int \<Rightarrow> int \<Rightarrow> int"
+  (SML "IntInf.+ ((_), (_))")
+  (OCaml "Big'_int.add'_big'_int")
+  (Haskell infixl 6 "+")
+
+code_const "uminus \<Colon> int \<Rightarrow> int"
+  (SML "IntInf.~")
+  (OCaml "Big'_int.minus'_big'_int")
+  (Haskell "negate")
+
+code_const "op - \<Colon> int \<Rightarrow> int \<Rightarrow> int"
+  (SML "IntInf.- ((_), (_))")
+  (OCaml "Big'_int.sub'_big'_int")
+  (Haskell infixl 6 "-")
+
+code_const "op * \<Colon> int \<Rightarrow> int \<Rightarrow> int"
+  (SML "IntInf.* ((_), (_))")
+  (OCaml "Big'_int.mult'_big'_int")
+  (Haskell infixl 7 "*")
+
+code_const "op = \<Colon> int \<Rightarrow> int \<Rightarrow> bool"
+  (SML "!((_ : IntInf.int) = _)")
+  (OCaml "Big'_int.eq'_big'_int")
+  (Haskell infixl 4 "==")
+
+code_const "op \<le> \<Colon> int \<Rightarrow> int \<Rightarrow> bool"
+  (SML "IntInf.<= ((_), (_))")
+  (OCaml "Big'_int.le'_big'_int")
+  (Haskell infix 4 "<=")
+
+code_const "op < \<Colon> int \<Rightarrow> int \<Rightarrow> bool"
+  (SML "IntInf.< ((_), (_))")
+  (OCaml "Big'_int.lt'_big'_int")
+  (Haskell infix 4 "<")
+
+code_const index_of_int and int_of_index
+  (SML "IntInf.toInt" and "IntInf.fromInt")
+  (OCaml "Big'_int.int'_of'_big'_int" and "Big'_int.big'_int'_of'_int")
+  (Haskell "_" and "_")
+
+code_reserved SML IntInf
+code_reserved OCaml Big_int
+
+end
\ No newline at end of file
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Code_Message.thy	Fri Oct 12 10:26:18 2007 +0200
@@ -0,0 +1,68 @@
+(*  ID:         $Id$
+    Author:     Florian Haftmann, TU Muenchen
+*)
+
+header {* Monolithic strings (message strings) for code generation *}
+
+theory Code_Message
+imports List
+begin
+
+subsection {* Datatype of messages *}
+
+datatype message_string = STR string
+
+lemmas [code func del] = message_string.recs message_string.cases
+
+lemma [code func]: "size (s\<Colon>message_string) = 0"
+  by (cases s) simp_all
+
+subsection {* ML interface *}
+
+ML {*
+structure Message_String =
+struct
+
+fun mk s = @{term STR} $ HOLogic.mk_string s;
+
+end;
+*}
+
+
+subsection {* Code serialization *}
+
+code_type message_string
+  (SML "string")
+  (OCaml "string")
+  (Haskell "String")
+
+setup {*
+let
+  val charr = @{const_name Char}
+  val nibbles = [@{const_name Nibble0}, @{const_name Nibble1},
+    @{const_name Nibble2}, @{const_name Nibble3},
+    @{const_name Nibble4}, @{const_name Nibble5},
+    @{const_name Nibble6}, @{const_name Nibble7},
+    @{const_name Nibble8}, @{const_name Nibble9},
+    @{const_name NibbleA}, @{const_name NibbleB},
+    @{const_name NibbleC}, @{const_name NibbleD},
+    @{const_name NibbleE}, @{const_name NibbleF}];
+in
+  fold (fn target => CodeTarget.add_pretty_message target
+    charr nibbles @{const_name Nil} @{const_name Cons} @{const_name STR})
+  ["SML", "OCaml", "Haskell"]
+end
+*}
+
+code_reserved SML string
+code_reserved OCaml string
+
+code_instance message_string :: eq
+  (Haskell -)
+
+code_const "op = \<Colon> message_string \<Rightarrow> message_string \<Rightarrow> bool"
+  (SML "!((_ : string) = _)")
+  (OCaml "!((_ : string) = _)")
+  (Haskell infixl 4 "==")
+
+end