src/Pure/ML-Systems/proper_int.ML

+(*  Title:      Pure/ML-Systems/proper_int.ML
+    ID:         $Id$
+    Author:     Makarius
+
+SML basis with type int representing proper integers, not machine
+words.
+*)
+
+val mk_int = IntInf.fromInt: Int.int -> IntInf.int;
+val dest_int = IntInf.toInt: IntInf.int -> Int.int;
+
+
+(* Int *)
+
+structure OrigInt = Int;
+structure OrigIntInf = IntInf;
+type int = IntInf.int;
+
+structure IntInf =
+struct
+  open IntInf;
+  fun fromInt (a: int) = a;
+  fun toInt (a: int) = a;
+  val log2 = mk_int o IntInf.log2;
+  val sign = mk_int o IntInf.sign;
+end;
+
+structure Int = IntInf;
+
+
+(* List *)
+
+structure List =
+struct
+  open List;
+  fun length a = mk_int (List.length a);
+  fun nth (a, b) = List.nth (a, dest_int b);
+  fun take (a, b) = List.take (a, dest_int b);
+  fun drop (a, b) = List.drop (a, dest_int b);
+  fun tabulate (a, b) = List.tabulate (dest_int a, b o mk_int);
+end;
+
+val length = List.length;
+
+
+(* Array *)
+
+structure Array =
+struct
+  open Array;
+  val maxLen = mk_int Array.maxLen;
+  fun array (a, b) = Array.array (dest_int a, b);
+  fun tabulate (a, b) = Array.tabulate (dest_int a, b o mk_int);
+  fun length a = mk_int (Array.length a);
+  fun sub (a, b) = Array.sub (a, dest_int b);
+  fun update (a, b, c) = Array.update (a, dest_int b, c);
+  fun copy {src, dst, di} = Array.copy {src = src, dst = dst, di = dest_int di};
+  fun copyVec {src, dst, di} = Array.copyVec {src = src, dst = dst, di = dest_int di};
+  fun appi a b = Array.appi (fn (x, y) => a (mk_int x, y)) b;
+  fun modifyi a b = Array.modifyi (fn (x, y) => a (mk_int x, y)) b;
+  fun foldli a b c = Array.foldli (fn (x, y, z) => a (mk_int x, y, z)) b c;
+  fun foldri a b c = Array.foldri (fn (x, y, z) => a (mk_int x, y, z)) b c;
+  fun findi a b =
+    (case Array.findi (fn (x, y) => a (mk_int x, y)) b of
+      NONE => NONE
+    | SOME (c, d) => SOME (mk_int c, d));
+end;
+
+
+(* Vector *)
+
+structure Vector =
+struct
+  open Vector;
+  val maxLen = mk_int Vector.maxLen;
+  fun tabulate (a, b) = Vector.tabulate (dest_int a, b o mk_int);
+  fun length a = mk_int (Vector.length a);
+  fun sub (a, b) = Vector.sub (a, dest_int b);
+  fun update (a, b, c) = Vector.update (a, dest_int b, c);
+  fun appi a b = Vector.appi (fn (x, y) => a (mk_int x, y)) b;
+  fun mapi a b = Vector.mapi (fn (x, y) => a (mk_int x, y)) b;
+  fun foldli a b c = Vector.foldli (fn (x, y, z) => a (mk_int x, y, z)) b c;
+  fun foldri a b c = Vector.foldri (fn (x, y, z) => a (mk_int x, y, z)) b c;
+  fun findi a b =
+    (case Vector.findi (fn (x, y) => a (mk_int x, y)) b of
+      NONE => NONE
+    | SOME (c, d) => SOME (mk_int c, d));
+end;
+
+
+(* Char *)
+
+structure Char =
+struct
+  open Char;
+  val maxOrd = mk_int Char.maxOrd;
+  val chr = Char.chr o dest_int;
+  val ord = mk_int o Char.ord;
+end;
+
+val chr = Char.chr;
+val ord = Char.ord;
+
+
+(* String *)
+
+structure String =
+struct
+  open String;
+  val maxSize = mk_int String.maxSize;
+  val size = mk_int o String.size;
+  fun sub (a, b) = String.sub (a, dest_int b);
+  fun extract (a, b, c) = String.extract (a, dest_int b, Option.map dest_int c);
+  fun substring (a, b, c) = String.substring (a, dest_int b, dest_int c);
+end;
+
+val size = String.size;
+val substring = String.substring;
+
+
+(* Substring *)
+
+structure Substring =
+struct
+  open Substring;
+  fun sub (a, b) = Substring.sub (a, dest_int b);
+  val size = mk_int o Substring.size;
+  fun base a = let val (b, c, d) = Substring.base a in (b, mk_int c, mk_int d) end;
+  fun extract (a, b, c) = Substring.extract (a, dest_int b, Option.map dest_int c);
+  fun substring (a, b, c) = Substring.substring (a, dest_int b, dest_int c);
+  fun triml a b = Substring.triml (dest_int a) b;
+  fun trimr a b = Substring.trimr (dest_int a) b;
+  fun slice (a, b, c) = Substring.slice (a, dest_int b, Option.map dest_int c);
+  fun splitAt (a, b) = Substring.splitAt (a, dest_int b);
+end;
+
+
+(* Word *)
+
+structure Word =
+struct
+  open Word;
+  val wordSize = mk_int Word.wordSize;
+  val toInt = mk_int o Word.toInt;
+  val toIntX = mk_int o Word.toIntX;
+  val fromInt = Word.fromInt o dest_int;
+end;
+
+
+(* Real *)
+
+structure Real =
+struct
+  open Real;
+  val radix = mk_int Real.radix;
+  val precision = mk_int Real.precision;
+  fun sign a = mk_int (Real.sign a);
+  fun toManExp a = let val {man, exp} = Real.toManExp a in {man = man, exp = mk_int exp} end;
+  fun fromManExp {man, exp} = Real.fromManExp {man = man, exp = dest_int exp};
+  val ceil = mk_int o Real.ceil;
+  val floor = mk_int o Real.floor;
+  val real = Real.fromInt o dest_int;
+  val round = mk_int o Real.round;
+  val trunc = mk_int o Real.trunc;
+  fun toInt a b = mk_int (Real.toInt a b);
+  fun fromInt a = Real.fromInt (dest_int a);
+end;
+
+val ceil = Real.ceil;
+val floor = Real.floor;
+val real = Real.real;
+val round = Real.round;
+val trunc = Real.trunc;
+
+
+(* TextIO *)
+
+structure TextIO =
+struct
+  open TextIO;
+  fun inputN (a, b) = TextIO.inputN (a, dest_int b);
+  fun canInput (a, b) = Option.map mk_int (TextIO.canInput (a, dest_int b));
+end;
+
+
+(* Time *)
+
+structure Time =
+struct
+  open Time;
+  fun fmt a b = Time.fmt (dest_int a) b;
+end;