added Code_Natural.thy
authorhaftmann
Mon, 26 Jul 2010 11:10:35 +0200
changeset 37968 52fdcb76c0af
parent 37967 3e174df3f965
child 37969 3bf1fffcdd48
added Code_Natural.thy
src/HOL/IsaMakefile
src/HOL/Library/Code_Integer.thy
src/HOL/Library/Code_Natural.thy
--- a/src/HOL/IsaMakefile	Mon Jul 26 11:09:45 2010 +0200
+++ b/src/HOL/IsaMakefile	Mon Jul 26 11:10:35 2010 +0200
@@ -398,20 +398,19 @@
 $(OUT)/HOL-Library: $(OUT)/HOL Library/HOL_Library_ROOT.ML		\
   $(SRC)/HOL/Tools/float_arith.ML $(SRC)/Tools/float.ML			\
   Library/Abstract_Rat.thy $(SRC)/Tools/Adhoc_Overloading.thy		\
-  Library/AssocList.thy							\
-  Library/BigO.thy Library/Binomial.thy Library/Bit.thy			\
-  Library/Boolean_Algebra.thy Library/Cardinality.thy			\
+  Library/AssocList.thy	Library/BigO.thy Library/Binomial.thy		\
+  Library/Bit.thy Library/Boolean_Algebra.thy Library/Cardinality.thy	\
   Library/Char_nat.thy Library/Code_Char.thy Library/Code_Char_chr.thy	\
-  Library/Code_Integer.thy Library/ContNotDenum.thy			\
-  Library/Continuity.thy Library/Convex.thy Library/Countable.thy	\
-  Library/Diagonalize.thy Library/Dlist.thy Library/Efficient_Nat.thy	\
-  Library/Enum.thy Library/Eval_Witness.thy Library/Executable_Set.thy	\
-  Library/Float.thy Library/Formal_Power_Series.thy			\
-  Library/Fraction_Field.thy Library/FrechetDeriv.thy Library/Fset.thy	\
-  Library/FuncSet.thy Library/Fundamental_Theorem_Algebra.thy		\
-  Library/Glbs.thy Library/Indicator_Function.thy			\
-  Library/Infinite_Set.thy Library/Inner_Product.thy			\
-  Library/Kleene_Algebra.thy						\
+  Library/Code_Integer.thy Library/Code_Natural.thy			\
+  Library/ContNotDenum.thy Library/Continuity.thy Library/Convex.thy	\
+  Library/Countable.thy	Library/Diagonalize.thy Library/Dlist.thy	\
+  Library/Efficient_Nat.thy Library/Enum.thy Library/Eval_Witness.thy	\
+  Library/Executable_Set.thy Library/Float.thy				\
+  Library/Formal_Power_Series.thy Library/Fraction_Field.thy		\
+  Library/FrechetDeriv.thy Library/Fset.thy Library/FuncSet.thy		\
+  Library/Fundamental_Theorem_Algebra.thy Library/Glbs.thy		\
+  Library/Indicator_Function.thy Library/Infinite_Set.thy		\
+  Library/Inner_Product.thy Library/Kleene_Algebra.thy			\
   Library/LaTeXsugar.thy Library/Lattice_Algebras.thy			\
   Library/Lattice_Syntax.thy Library/Library.thy			\
   Library/List_Prefix.thy Library/List_lexord.thy Library/Mapping.thy	\
--- a/src/HOL/Library/Code_Integer.thy	Mon Jul 26 11:09:45 2010 +0200
+++ b/src/HOL/Library/Code_Integer.thy	Mon Jul 26 11:10:35 2010 +0200
@@ -5,7 +5,7 @@
 header {* Pretty integer literals for code generation *}
 
 theory Code_Integer
-imports Main
+imports Main Code_Natural
 begin
 
 text {*
@@ -14,142 +14,6 @@
   operations for abstract integer operations.
 *}
 
-text {*
-  Preliminary: alternative representation of @{typ code_numeral}
-  for @{text Haskell} and @{text Scala}.
-*}
-
-code_include Haskell "Natural" {*
-newtype Natural = Natural Integer deriving (Eq, Show, Read);
-
-instance Num Natural where {
-  fromInteger k = Natural (if k >= 0 then k else 0);
-  Natural n + Natural m = Natural (n + m);
-  Natural n - Natural m = fromInteger (n - m);
-  Natural n * Natural m = Natural (n * m);
-  abs n = n;
-  signum _ = 1;
-  negate n = error "negate Natural";
-};
-
-instance Ord Natural where {
-  Natural n <= Natural m = n <= m;
-  Natural n < Natural m = n < m;
-};
-
-instance Real Natural where {
-  toRational (Natural n) = toRational n;
-};
-
-instance Enum Natural where {
-  toEnum k = fromInteger (toEnum k);
-  fromEnum (Natural n) = fromEnum n;
-};
-
-instance Integral Natural where {
-  toInteger (Natural n) = n;
-  divMod n m = quotRem n m;
-  quotRem (Natural n) (Natural m)
-    | (m == 0) = (0, Natural n)
-    | otherwise = (Natural k, Natural l) where (k, l) = quotRem n m;
-};
-*}
-
-code_reserved Haskell Natural
-
-code_include Scala "Natural" {*
-import scala.Math
-
-object Natural {
-
-  def apply(numeral: BigInt): Natural = new Natural(numeral max 0)
-  def apply(numeral: Int): Natural = Natural(BigInt(numeral))
-  def apply(numeral: String): Natural = Natural(BigInt(numeral))
-
-}
-
-class Natural private(private val value: BigInt) {
-
-  override def hashCode(): Int = this.value.hashCode()
-
-  override def equals(that: Any): Boolean = that match {
-    case that: Natural => this equals that
-    case _ => false
-  }
-
-  override def toString(): String = this.value.toString
-
-  def equals(that: Natural): Boolean = this.value == that.value
-
-  def as_BigInt: BigInt = this.value
-  def as_Int: Int = if (this.value >= Int.MinValue && this.value <= Int.MaxValue)
-      this.value.intValue
-    else this.value.intValue
-
-  def +(that: Natural): Natural = new Natural(this.value + that.value)
-  def -(that: Natural): Natural = Natural(this.value - that.value)
-  def *(that: Natural): Natural = new Natural(this.value * that.value)
-
-  def /%(that: Natural): (Natural, Natural) = if (that.value == 0) (new Natural(0), this)
-    else {
-      val (k, l) = this.value /% that.value
-      (new Natural(k), new Natural(l))
-    }
-
-  def <=(that: Natural): Boolean = this.value <= that.value
-
-  def <(that: Natural): Boolean = this.value < that.value
-
-}
-*}
-
-code_reserved Scala Natural
-
-code_type code_numeral
-  (Haskell "Natural.Natural")
-  (Scala "Natural")
-
-setup {*
-  fold (Numeral.add_code @{const_name number_code_numeral_inst.number_of_code_numeral}
-    false Code_Printer.literal_alternative_numeral) ["Haskell", "Scala"]
-*}
-
-code_instance code_numeral :: eq
-  (Haskell -)
-
-code_const "op + \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> code_numeral"
-  (Haskell infixl 6 "+")
-  (Scala infixl 7 "+")
-
-code_const "op - \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> code_numeral"
-  (Haskell infixl 6 "-")
-  (Scala infixl 7 "-")
-
-code_const "op * \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> code_numeral"
-  (Haskell infixl 7 "*")
-  (Scala infixl 8 "*")
-
-code_const div_mod_code_numeral
-  (Haskell "divMod")
-  (Scala infixl 8 "/%")
-
-code_const "eq_class.eq \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> bool"
-  (Haskell infixl 4 "==")
-  (Scala infixl 5 "==")
-
-code_const "op \<le> \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> bool"
-  (Haskell infix 4 "<=")
-  (Scala infixl 4 "<=")
-
-code_const "op < \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> bool"
-  (Haskell infix 4 "<")
-  (Scala infixl 4 "<")
-
-text {*
-  Setup for @{typ int} proper.
-*}
-
-
 code_type int
   (SML "IntInf.int")
   (OCaml "Big'_int.big'_int")
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Code_Natural.thy	Mon Jul 26 11:10:35 2010 +0200
@@ -0,0 +1,145 @@
+(*  Title:      HOL/Library/Code_Natural.thy
+    Author:     Florian Haftmann, TU Muenchen
+*)
+
+theory Code_Natural
+imports Main
+begin
+
+section {* Alternative representation of @{typ code_numeral} for @{text Haskell} and @{text Scala} *}
+
+code_include Haskell "Natural"
+{*import Data.Array.ST;
+
+newtype Natural = Natural Integer deriving (Eq, Show, Read);
+
+instance Num Natural where {
+  fromInteger k = Natural (if k >= 0 then k else 0);
+  Natural n + Natural m = Natural (n + m);
+  Natural n - Natural m = fromInteger (n - m);
+  Natural n * Natural m = Natural (n * m);
+  abs n = n;
+  signum _ = 1;
+  negate n = error "negate Natural";
+};
+
+instance Ord Natural where {
+  Natural n <= Natural m = n <= m;
+  Natural n < Natural m = n < m;
+};
+
+instance Ix Natural where {
+  range (Natural n, Natural m) = map Natural (range (n, m));
+  index (Natural n, Natural m) (Natural q) = index (n, m) q;
+  inRange (Natural n, Natural m) (Natural q) = inRange (n, m) q;
+  rangeSize (Natural n, Natural m) = rangeSize (n, m);
+};
+
+instance Real Natural where {
+  toRational (Natural n) = toRational n;
+};
+
+instance Enum Natural where {
+  toEnum k = fromInteger (toEnum k);
+  fromEnum (Natural n) = fromEnum n;
+};
+
+instance Integral Natural where {
+  toInteger (Natural n) = n;
+  divMod n m = quotRem n m;
+  quotRem (Natural n) (Natural m)
+    | (m == 0) = (0, Natural n)
+    | otherwise = (Natural k, Natural l) where (k, l) = quotRem n m;
+};*}
+
+code_reserved Haskell Natural
+
+code_include Scala "Natural" {*
+import scala.Math
+
+object Natural {
+
+  def apply(numeral: BigInt): Natural = new Natural(numeral max 0)
+  def apply(numeral: Int): Natural = Natural(BigInt(numeral))
+  def apply(numeral: String): Natural = Natural(BigInt(numeral))
+
+}
+
+class Natural private(private val value: BigInt) {
+
+  override def hashCode(): Int = this.value.hashCode()
+
+  override def equals(that: Any): Boolean = that match {
+    case that: Natural => this equals that
+    case _ => false
+  }
+
+  override def toString(): String = this.value.toString
+
+  def equals(that: Natural): Boolean = this.value == that.value
+
+  def as_BigInt: BigInt = this.value
+  def as_Int: Int = if (this.value >= Int.MinValue && this.value <= Int.MaxValue)
+      this.value.intValue
+    else error("Int value out of range: " + this.value.toString)
+
+  def +(that: Natural): Natural = new Natural(this.value + that.value)
+  def -(that: Natural): Natural = Natural(this.value - that.value)
+  def *(that: Natural): Natural = new Natural(this.value * that.value)
+
+  def /%(that: Natural): (Natural, Natural) = if (that.value == 0) (new Natural(0), this)
+    else {
+      val (k, l) = this.value /% that.value
+      (new Natural(k), new Natural(l))
+    }
+
+  def <=(that: Natural): Boolean = this.value <= that.value
+
+  def <(that: Natural): Boolean = this.value < that.value
+
+}
+*}
+
+code_reserved Scala Natural
+
+code_type code_numeral
+  (Haskell "Natural.Natural")
+  (Scala "Natural")
+
+setup {*
+  fold (Numeral.add_code @{const_name number_code_numeral_inst.number_of_code_numeral}
+    false Code_Printer.literal_alternative_numeral) ["Haskell", "Scala"]
+*}
+
+code_instance code_numeral :: eq
+  (Haskell -)
+
+code_const "op + \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> code_numeral"
+  (Haskell infixl 6 "+")
+  (Scala infixl 7 "+")
+
+code_const "op - \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> code_numeral"
+  (Haskell infixl 6 "-")
+  (Scala infixl 7 "-")
+
+code_const "op * \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> code_numeral"
+  (Haskell infixl 7 "*")
+  (Scala infixl 8 "*")
+
+code_const div_mod_code_numeral
+  (Haskell "divMod")
+  (Scala infixl 8 "/%")
+
+code_const "eq_class.eq \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> bool"
+  (Haskell infixl 4 "==")
+  (Scala infixl 5 "==")
+
+code_const "op \<le> \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> bool"
+  (Haskell infix 4 "<=")
+  (Scala infixl 4 "<=")
+
+code_const "op < \<Colon> code_numeral \<Rightarrow> code_numeral \<Rightarrow> bool"
+  (Haskell infix 4 "<")
+  (Scala infixl 4 "<")
+
+end