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(* Title: Pure/General/alist.ML
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ID: $Id$
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Author: Florian Haftmann, TU Muenchen
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Association lists -- lists of (key, value) pairs with unique keys.
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A light-weight representation of finite mappings;
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see also Pure/General/table.ML for a more scalable implementation.
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*)
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signature ALIST =
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sig
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exception DUP
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val lookup: ('a * 'b -> bool) -> ('b * 'c) list -> 'a -> 'c option
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val defined: ('a * 'b -> bool) -> ('b * 'c) list -> 'a -> bool
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val update: ('a * 'a -> bool) -> ('a * 'b)
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-> ('a * 'b) list -> ('a * 'b) list
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val default: ('a * 'a -> bool) -> ('a * 'b)
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-> ('a * 'b) list -> ('a * 'b) list
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val delete: ('a * 'b -> bool) -> 'a
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-> ('b * 'c) list -> ('b * 'c) list
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val map_entry: ('a * 'b -> bool) -> 'a -> ('c -> 'c)
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-> ('b * 'c) list -> ('b * 'c) list
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val map_entry_yield: ('a * 'b -> bool) -> 'a -> ('c -> 'd * 'c)
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-> ('b * 'c) list -> 'd option * ('b * 'c) list
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val make: ('a -> 'b) -> 'a list -> ('a * 'b) list
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val join: ('a * 'a -> bool) -> ('a -> 'b * 'b -> 'b option) ->
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('a * 'b) list * ('a * 'b) list -> ('a * 'b) list (*exception DUP*)
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val merge: ('a * 'a -> bool) -> ('b * 'b -> bool)
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-> ('a * 'b) list * ('a * 'b) list -> ('a * 'b) list (*exception DUP*)
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val find: ('a * 'b -> bool) -> ('c * 'b) list -> 'a -> 'c list
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end;
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structure AList: ALIST =
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struct
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fun find_index eq xs key =
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let
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fun find [] _ = 0
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| find ((key', value)::xs) i =
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if eq (key, key')
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then i
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else find xs (i+1);
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in find xs 1 end;
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fun lookup _ [] _ = NONE
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| lookup eq ((key, value)::xs) key' =
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if eq (key', key) then SOME value
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else lookup eq xs key';
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fun defined _ [] _ = false
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| defined eq ((key, value)::xs) key' =
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eq (key', key) orelse defined eq xs key';
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fun update eq (x as (key, value)) xs =
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let
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val i = find_index eq xs key;
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fun upd 1 (_::xs) = (x::xs)
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| upd i (x::xs) = x :: upd (i-1) xs;
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in if i = 0 then x::xs else upd i xs end;
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fun default eq (key, value) xs =
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if defined eq xs key then xs else (key, value)::xs;
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fun delete eq key xs =
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let
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val i = find_index eq xs key;
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fun del 1 (_::xs) = xs
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| del i (x::xs) = x :: del (i-1) xs;
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in if i = 0 then xs else del i xs end;
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fun map_entry eq key f xs =
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let
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val i = find_index eq xs key;
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fun mapp 1 ((x as (key, value))::xs) = (key, f value) :: xs
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| mapp i (x::xs) = x :: mapp (i-1) xs;
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in if i = 0 then xs else mapp i xs end;
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fun map_entry_yield eq key f xs =
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let
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val i = find_index eq xs key;
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fun mapp 1 ((x as (key, value))::xs) =
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let val (r, value') = f value
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in (SOME r, (key, value') :: xs) end
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| mapp i (x::xs) =
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let val (r, xs') = mapp (i-1) xs
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in (r, x::xs') end;
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in if i = 0 then (NONE, xs) else mapp i xs end;
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exception DUP;
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fun join eq f (xs, ys) =
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let
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fun add (key, x) xs =
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(case lookup eq xs key of
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NONE => update eq (key, x) xs
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| SOME y =>
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(case f key (y, x) of
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SOME z => update eq (key, z) xs
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| NONE => raise DUP));
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in fold_rev add xs ys end;
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fun merge eq_key eq_val (xs, ys) =
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let
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fun add (x as (key, value)) ys =
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case lookup eq_key ys key
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of NONE => update eq_key x ys
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| SOME value' =>
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if eq_val (value, value')
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then ys
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else raise DUP;
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in fold_rev add xs ys end;
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fun make keyfun =
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let fun keypair x = (x, keyfun x)
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in map keypair end;
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fun find eq [] _ = []
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| find eq ((key, value) :: xs) value' =
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let
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val values = find eq xs value';
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in if eq (value', value) then key :: values else values end;
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end;
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