# HG changeset patch # User wenzelm # Date 897472417 -7200 # Node ID 44fd9e09c6377542c287f48ac2e4d64bf19ef1ba # Parent 32e6cab5e7d482027ced6a69c38b5b7f5db902d3 moved table.ML to General/table.ML; diff -r 32e6cab5e7d4 -r 44fd9e09c637 src/Pure/General/table.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/Pure/General/table.ML Wed Jun 10 11:53:37 1998 +0200 @@ -0,0 +1,181 @@ +(* Title: Pure/table.ML + ID: $Id$ + Author: Markus Wenzel, TU Muenchen + +Generic tables and tables indexed by strings. No delete operation. +Implemented as balanced 2-3 trees. +*) + +signature KEY = +sig + type key + val ord: key * key -> order +end; + +signature TABLE = +sig + type key + type 'a table + exception DUP of key + exception DUPS of key list + val empty: 'a table + val is_empty: 'a table -> bool + val dest: 'a table -> (key * 'a) list + val lookup: 'a table * key -> 'a option + val update: (key * 'a) * 'a table -> 'a table + val update_new: (key * 'a) * 'a table -> 'a table (*exception DUP*) + val make: (key * 'a) list -> 'a table (*exception DUPS*) + val extend: 'a table * (key * 'a) list -> 'a table (*exception DUPS*) + val merge: ('a * 'a -> bool) -> 'a table * 'a table -> 'a table (*exception DUPS*) + val lookup_multi: 'a list table * key -> 'a list + val make_multi: (key * 'a) list -> 'a list table + val dest_multi: 'a list table -> (key * 'a) list + val map: ('a -> 'b) -> 'a table -> 'b table +end; + +functor TableFun(Key: KEY): TABLE = +struct + + +(* datatype table *) + +type key = Key.key; + +datatype 'a table = + Empty | + Branch2 of 'a table * (key * 'a) * 'a table | + Branch3 of 'a table * (key * 'a) * 'a table * (key * 'a) * 'a table; + +exception DUP of key; +exception DUPS of key list; + + +val empty = Empty; + +fun is_empty Empty = true + | is_empty _ = false; + +fun dest Empty = [] + | dest (Branch2 (left, p, right)) = dest left @ [p] @ dest right + | dest (Branch3 (left, p1, mid, p2, right)) = + dest left @ [p1] @ dest mid @ [p2] @ dest right; + + +(* lookup *) + +fun lookup (Empty, _) = None + | lookup (Branch2 (left, (k, x), right), key) = + (case Key.ord (key, k) of + LESS => lookup (left, key) + | EQUAL => Some x + | GREATER => lookup (right, key)) + | lookup (Branch3 (left, (k1, x1), mid, (k2, x2), right), key) = + (case Key.ord (key, k1) of + LESS => lookup (left, key) + | EQUAL => Some x1 + | GREATER => + (case Key.ord (key, k2) of + LESS => lookup (mid, key) + | EQUAL => Some x2 + | GREATER => lookup (right, key))); + + +(* update *) + +fun compare (k1, _) (k2, _) = Key.ord (k1, k2); + +datatype 'a growth = + Stay of 'a table | + Sprout of 'a table * (key * 'a) * 'a table; + +fun insert pair Empty = Sprout (Empty, pair, Empty) + | insert pair (Branch2 (left, p, right)) = + (case compare pair p of + LESS => + (case insert pair left of + Stay left' => Stay (Branch2 (left', p, right)) + | Sprout (left1, q, left2) => Stay (Branch3 (left1, q, left2, p, right))) + | EQUAL => Stay (Branch2 (left, pair, right)) + | GREATER => + (case insert pair right of + Stay right' => Stay (Branch2 (left, p, right')) + | Sprout (right1, q, right2) => + Stay (Branch3 (left, p, right1, q, right2)))) + | insert pair (Branch3 (left, p1, mid, p2, right)) = + (case compare pair p1 of + LESS => + (case insert pair left of + Stay left' => Stay (Branch3 (left', p1, mid, p2, right)) + | Sprout (left1, q, left2) => + Sprout (Branch2 (left1, q, left2), p1, Branch2 (mid, p2, right))) + | EQUAL => Stay (Branch3 (left, pair, mid, p2, right)) + | GREATER => + (case compare pair p2 of + LESS => + (case insert pair mid of + Stay mid' => Stay (Branch3 (left, p1, mid', p2, right)) + | Sprout (mid1, q, mid2) => + Sprout (Branch2 (left, p1, mid1), q, Branch2 (mid2, p2, right))) + | EQUAL => Stay (Branch3 (left, p1, mid, pair, right)) + | GREATER => + (case insert pair right of + Stay right' => Stay (Branch3 (left, p1, mid, p2, right')) + | Sprout (right1, q, right2) => + Sprout (Branch2 (left, p1, mid), p2, Branch2 (right1, q, right2))))); + +fun update (pair, tab) = + (case insert pair tab of + Stay tab => tab + | Sprout br => Branch2 br); + +fun update_new (pair as (key, _), tab) = + if is_none (lookup (tab, key)) then update (pair, tab) + else raise DUP key; + + +(* make, extend, merge tables *) + +fun add eq ((tab, dups), (key, x)) = + (case lookup (tab, key) of + None => (update ((key, x), tab), dups) + | Some x' => + if eq (x, x') then (tab, dups) + else (tab, dups @ [key])); + +fun enter eq (tab, pairs) = + (case foldl (add eq) ((tab, []), pairs) of + (tab', []) => tab' + | (_, dups) => raise DUPS dups); + +fun extend tab_pairs = enter (K false) tab_pairs; +fun make pairs = extend (empty, pairs); +fun merge eq (tab1, tab2) = enter eq (tab1, dest tab2); + + +(* tables with multiple entries per key (preserving order) *) + +fun lookup_multi tab_key = if_none (lookup tab_key) []; + +fun cons_entry ((key, x), tab) = + update ((key, x :: lookup_multi (tab, key)), tab); + +fun make_multi pairs = foldr cons_entry (pairs, empty); + +fun dest_multi tab = + flat (map (fn (key, xs) => map (Library.pair key) xs) (dest tab)); + + +(* map *) + +fun map _ Empty = Empty + | map f (Branch2 (left, (k, x), right)) = + Branch2 (map f left, (k, f x), map f right) + | map f (Branch3 (left, (k1, x1), mid, (k2, x2), right)) = + Branch3 (map f left, (k1, f x1), map f mid, (k2, f x2), map f right); + + +end; + + +(*tables indexed by strings*) +structure Symtab = TableFun(type key = string val ord = string_ord); diff -r 32e6cab5e7d4 -r 44fd9e09c637 src/Pure/table.ML --- a/src/Pure/table.ML Wed Jun 10 11:52:59 1998 +0200 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,181 +0,0 @@ -(* Title: Pure/table.ML - ID: $Id$ - Author: Markus Wenzel, TU Muenchen - -Generic tables and tables indexed by strings. No delete operation. -Implemented as balanced 2-3 trees. -*) - -signature KEY = -sig - type key - val ord: key * key -> order -end; - -signature TABLE = -sig - type key - type 'a table - exception DUP of key - exception DUPS of key list - val empty: 'a table - val is_empty: 'a table -> bool - val dest: 'a table -> (key * 'a) list - val lookup: 'a table * key -> 'a option - val update: (key * 'a) * 'a table -> 'a table - val update_new: (key * 'a) * 'a table -> 'a table (*exception DUP*) - val make: (key * 'a) list -> 'a table (*exception DUPS*) - val extend: 'a table * (key * 'a) list -> 'a table (*exception DUPS*) - val merge: ('a * 'a -> bool) -> 'a table * 'a table -> 'a table (*exception DUPS*) - val lookup_multi: 'a list table * key -> 'a list - val make_multi: (key * 'a) list -> 'a list table - val dest_multi: 'a list table -> (key * 'a) list - val map: ('a -> 'b) -> 'a table -> 'b table -end; - -functor TableFun(Key: KEY): TABLE = -struct - - -(* datatype table *) - -type key = Key.key; - -datatype 'a table = - Empty | - Branch2 of 'a table * (key * 'a) * 'a table | - Branch3 of 'a table * (key * 'a) * 'a table * (key * 'a) * 'a table; - -exception DUP of key; -exception DUPS of key list; - - -val empty = Empty; - -fun is_empty Empty = true - | is_empty _ = false; - -fun dest Empty = [] - | dest (Branch2 (left, p, right)) = dest left @ [p] @ dest right - | dest (Branch3 (left, p1, mid, p2, right)) = - dest left @ [p1] @ dest mid @ [p2] @ dest right; - - -(* lookup *) - -fun lookup (Empty, _) = None - | lookup (Branch2 (left, (k, x), right), key) = - (case Key.ord (key, k) of - LESS => lookup (left, key) - | EQUAL => Some x - | GREATER => lookup (right, key)) - | lookup (Branch3 (left, (k1, x1), mid, (k2, x2), right), key) = - (case Key.ord (key, k1) of - LESS => lookup (left, key) - | EQUAL => Some x1 - | GREATER => - (case Key.ord (key, k2) of - LESS => lookup (mid, key) - | EQUAL => Some x2 - | GREATER => lookup (right, key))); - - -(* update *) - -fun compare (k1, _) (k2, _) = Key.ord (k1, k2); - -datatype 'a growth = - Stay of 'a table | - Sprout of 'a table * (key * 'a) * 'a table; - -fun insert pair Empty = Sprout (Empty, pair, Empty) - | insert pair (Branch2 (left, p, right)) = - (case compare pair p of - LESS => - (case insert pair left of - Stay left' => Stay (Branch2 (left', p, right)) - | Sprout (left1, q, left2) => Stay (Branch3 (left1, q, left2, p, right))) - | EQUAL => Stay (Branch2 (left, pair, right)) - | GREATER => - (case insert pair right of - Stay right' => Stay (Branch2 (left, p, right')) - | Sprout (right1, q, right2) => - Stay (Branch3 (left, p, right1, q, right2)))) - | insert pair (Branch3 (left, p1, mid, p2, right)) = - (case compare pair p1 of - LESS => - (case insert pair left of - Stay left' => Stay (Branch3 (left', p1, mid, p2, right)) - | Sprout (left1, q, left2) => - Sprout (Branch2 (left1, q, left2), p1, Branch2 (mid, p2, right))) - | EQUAL => Stay (Branch3 (left, pair, mid, p2, right)) - | GREATER => - (case compare pair p2 of - LESS => - (case insert pair mid of - Stay mid' => Stay (Branch3 (left, p1, mid', p2, right)) - | Sprout (mid1, q, mid2) => - Sprout (Branch2 (left, p1, mid1), q, Branch2 (mid2, p2, right))) - | EQUAL => Stay (Branch3 (left, p1, mid, pair, right)) - | GREATER => - (case insert pair right of - Stay right' => Stay (Branch3 (left, p1, mid, p2, right')) - | Sprout (right1, q, right2) => - Sprout (Branch2 (left, p1, mid), p2, Branch2 (right1, q, right2))))); - -fun update (pair, tab) = - (case insert pair tab of - Stay tab => tab - | Sprout br => Branch2 br); - -fun update_new (pair as (key, _), tab) = - if is_none (lookup (tab, key)) then update (pair, tab) - else raise DUP key; - - -(* make, extend, merge tables *) - -fun add eq ((tab, dups), (key, x)) = - (case lookup (tab, key) of - None => (update ((key, x), tab), dups) - | Some x' => - if eq (x, x') then (tab, dups) - else (tab, dups @ [key])); - -fun enter eq (tab, pairs) = - (case foldl (add eq) ((tab, []), pairs) of - (tab', []) => tab' - | (_, dups) => raise DUPS dups); - -fun extend tab_pairs = enter (K false) tab_pairs; -fun make pairs = extend (empty, pairs); -fun merge eq (tab1, tab2) = enter eq (tab1, dest tab2); - - -(* tables with multiple entries per key (preserving order) *) - -fun lookup_multi tab_key = if_none (lookup tab_key) []; - -fun cons_entry ((key, x), tab) = - update ((key, x :: lookup_multi (tab, key)), tab); - -fun make_multi pairs = foldr cons_entry (pairs, empty); - -fun dest_multi tab = - flat (map (fn (key, xs) => map (Library.pair key) xs) (dest tab)); - - -(* map *) - -fun map _ Empty = Empty - | map f (Branch2 (left, (k, x), right)) = - Branch2 (map f left, (k, f x), map f right) - | map f (Branch3 (left, (k1, x1), mid, (k2, x2), right)) = - Branch3 (map f left, (k1, f x1), map f mid, (k2, f x2), map f right); - - -end; - - -(*tables indexed by strings*) -structure Symtab = TableFun(type key = string val ord = string_ord);