+++ /dev/null
-implementation module GenLexOrd\r
-\r
-import StdEnv\r
-import StdGeneric, GenEq\r
-\r
-:: LexOrd = LT |EQ | GT\r
-derive gEq LexOrd\r
-\r
-generic gLexOrd a b :: a b -> LexOrd\r
-gLexOrd{|Int|} x y\r
- | x == y = EQ\r
- | x < y = LT\r
- = GT\r
-gLexOrd{|Bool|} True True = EQ\r
-gLexOrd{|Bool|} False True = LT\r
-gLexOrd{|Bool|} True False = GT\r
-gLexOrd{|Bool|} False False = EQ\r
-gLexOrd{|Real|} x y\r
- | x == y = EQ\r
- | x < y = LT\r
- = GT\r
-gLexOrd{|Char|} x y\r
- | x == y = EQ\r
- | x < y = LT\r
- = GT\r
-gLexOrd{|String|} x y\r
- | x == y = EQ\r
- | x < y = LT\r
- = GT \r
-gLexOrd{|UNIT|} UNIT UNIT = EQ\r
-gLexOrd{|PAIR|} fx fy (PAIR x1 y1) (PAIR x2 y2) = case fx x1 x2 of\r
- EQ -> fy y1 y2\r
- LT -> LT\r
- GT -> GT\r
- \r
-gLexOrd{|EITHER|} fl fr (LEFT x) (LEFT y) = fl x y \r
-gLexOrd{|EITHER|} fl fr (LEFT x) (RIGHT y) = LT\r
-gLexOrd{|EITHER|} fl fr (RIGHT x) (LEFT y) = GT\r
-gLexOrd{|EITHER|} fl fr (RIGHT x) (RIGHT y) = fr x y\r
-gLexOrd{|CONS|} f (CONS x) (CONS y) = f x y\r
-gLexOrd{|FIELD|} f (FIELD x) (FIELD y) = f x y\r
-gLexOrd{|OBJECT|} f (OBJECT x) (OBJECT y) = f x y\r
-\r
-// Instance on standard lists is needed because\r
-// standard lists have unnatural internal ordering of constructors: Cons < Nil,\r
-// i.e Cons is LEFT and Nil is RIGHT in the generic representation.\r
-// We want ordering Nil < Cons\r
-gLexOrd{|[]|} f [] [] = EQ\r
-gLexOrd{|[]|} f [] _ = LT\r
-gLexOrd{|[]|} f _ [] = GT\r
-gLexOrd{|[]|} f [x:xs] [y:ys] = gLexOrd{|*->*->*|} f (gLexOrd{|*->*|} f) (PAIR x xs) (PAIR y ys)\r
-\r
-gLexOrd{|{}|} f xs ys = lexOrdArray f xs ys \r
-gLexOrd{|{!}|} f xs ys = lexOrdArray f xs ys \r
-\r
-\r
-// standard types\r
-derive gLexOrd (,), (,,), (,,,), (,,,,), (,,,,,), (,,,,,,), (,,,,,,,)\r
-\r
- \r
-(=?=) infix 4 :: a a -> LexOrd | gLexOrd{|*|} a\r
-(=?=) x y = gLexOrd{|*|} x y \r
-\r
-\r
-lexOrdArray f xs ys\r
- #! size_xs = size xs\r
- #! size_ys = size ys\r
- | size_xs < size_ys = LT\r
- | size_xs > size_ys = GT\r
- | otherwise = lexord 0 size_xs xs ys\r
-where\r
- lexord i n xs ys\r
- | i == n = EQ\r
- | otherwise = case f xs.[i] ys.[i] of\r
- LT -> LT\r
- GT -> GT \r
- EQ -> lexord (inc i) n xs ys\r