--- /dev/null
+-----------------------------------------------------------------------------
+--
+-- Module : Data.FiniteMap
+-- Copyright : (c) The University of Glasgow 2001
+-- License : BSD-style (see the file libraries/core/LICENSE)
+--
+-- Maintainer : libraries@haskell.org
+-- Stability : provisional
+-- Portability : portable
+--
+-- $Id: FiniteMap.hs,v 1.1 2001/08/17 12:44:54 simonmar Exp $
+--
+-- A finite map implementation, derived from the paper:
+-- S Adams, "Efficient sets: a balancing act"
+-- Journal of functional programming 3(4) Oct 1993, pp553-562
+--
+-- ToDo: clean up, remove the COMPILING_GHC stuff.
+--
+-----------------------------------------------------------------------------
+
+-- The code is SPECIALIZEd to various highly-desirable types (e.g., Id)
+-- near the end (only \tr{#ifdef COMPILING_GHC}).
+
+#ifdef COMPILING_GHC
+#include "HsVersions.h"
+#define IF_NOT_GHC(a) {--}
+#else
+#define ASSERT(e) {--}
+#define IF_NOT_GHC(a) a
+#define COMMA ,
+#define _tagCmp compare
+#define _LT LT
+#define _GT GT
+#define _EQ EQ
+#endif
+
+#if defined(COMPILING_GHC) && defined(DEBUG_FINITEMAPS)/* NB NB NB */
+#define OUTPUTABLE_key , Outputable key
+#else
+#define OUTPUTABLE_key {--}
+#endif
+
+module Data.FiniteMap (
+ FiniteMap, -- abstract type
+
+ emptyFM, unitFM, listToFM,
+
+ addToFM,
+ addToFM_C,
+ addListToFM,
+ addListToFM_C,
+ IF_NOT_GHC(delFromFM COMMA)
+ delListFromFM,
+
+ plusFM,
+ plusFM_C,
+ minusFM,
+ foldFM,
+
+ IF_NOT_GHC(intersectFM COMMA)
+ IF_NOT_GHC(intersectFM_C COMMA)
+ IF_NOT_GHC(mapFM COMMA filterFM COMMA)
+
+ sizeFM, isEmptyFM, elemFM, lookupFM, lookupWithDefaultFM,
+
+ fmToList, keysFM, eltsFM
+
+#ifdef COMPILING_GHC
+ , bagToFM
+#endif
+ ) where
+
+import Prelude
+
+import Data.Maybe ( isJust )
+#ifdef __GLASGOW_HASKELL__
+import GHC.Base
+#endif
+
+#ifdef COMPILING_GHC
+IMP_Ubiq(){-uitous-}
+# ifdef DEBUG
+import Pretty
+# endif
+import Bag ( foldBag )
+
+# if ! OMIT_NATIVE_CODEGEN
+# define IF_NCG(a) a
+# else
+# define IF_NCG(a) {--}
+# endif
+#endif
+
+-- SIGH: but we use unboxed "sizes"...
+#if __GLASGOW_HASKELL__
+#define IF_GHC(a,b) a
+#else /* not GHC */
+#define IF_GHC(a,b) b
+#endif /* not GHC */
+
+
+-- ---------------------------------------------------------------------------
+-- The signature of the module
+
+-- BUILDING
+emptyFM :: FiniteMap key elt
+unitFM :: key -> elt -> FiniteMap key elt
+listToFM :: (Ord key OUTPUTABLE_key) => [(key,elt)] -> FiniteMap key elt
+ -- In the case of duplicates, the last is taken
+#ifdef COMPILING_GHC
+bagToFM :: (Ord key OUTPUTABLE_key) => Bag (key,elt) -> FiniteMap key elt
+ -- In the case of duplicates, who knows which is taken
+#endif
+
+-- ADDING AND DELETING
+ -- Throws away any previous binding
+ -- In the list case, the items are added starting with the
+ -- first one in the list
+addToFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> key -> elt -> FiniteMap key elt
+addListToFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> [(key,elt)] -> FiniteMap key elt
+
+ -- Combines with previous binding
+ -- In the combining function, the first argument is the "old" element,
+ -- while the second is the "new" one.
+addToFM_C :: (Ord key OUTPUTABLE_key) => (elt -> elt -> elt)
+ -> FiniteMap key elt -> key -> elt
+ -> FiniteMap key elt
+addListToFM_C :: (Ord key OUTPUTABLE_key) => (elt -> elt -> elt)
+ -> FiniteMap key elt -> [(key,elt)]
+ -> FiniteMap key elt
+
+ -- Deletion doesn't complain if you try to delete something
+ -- which isn't there
+delFromFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> key -> FiniteMap key elt
+delListFromFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> [key] -> FiniteMap key elt
+
+-- COMBINING
+ -- Bindings in right argument shadow those in the left
+plusFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> FiniteMap key elt
+ -> FiniteMap key elt
+
+ -- Combines bindings for the same thing with the given function
+plusFM_C :: (Ord key OUTPUTABLE_key) => (elt -> elt -> elt)
+ -> FiniteMap key elt -> FiniteMap key elt -> FiniteMap key elt
+
+minusFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> FiniteMap key elt -> FiniteMap key elt
+ -- (minusFM a1 a2) deletes from a1 any bindings which are bound in a2
+
+intersectFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> FiniteMap key elt -> FiniteMap key elt
+intersectFM_C :: (Ord key OUTPUTABLE_key) => (elt1 -> elt2 -> elt3)
+ -> FiniteMap key elt1 -> FiniteMap key elt2 -> FiniteMap key elt3
+
+-- MAPPING, FOLDING, FILTERING
+foldFM :: (key -> elt -> a -> a) -> a -> FiniteMap key elt -> a
+mapFM :: (key -> elt1 -> elt2) -> FiniteMap key elt1 -> FiniteMap key elt2
+filterFM :: (Ord key OUTPUTABLE_key) => (key -> elt -> Bool)
+ -> FiniteMap key elt -> FiniteMap key elt
+
+-- INTERROGATING
+sizeFM :: FiniteMap key elt -> Int
+isEmptyFM :: FiniteMap key elt -> Bool
+
+elemFM :: (Ord key OUTPUTABLE_key) => key -> FiniteMap key elt -> Bool
+lookupFM :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> key -> Maybe elt
+lookupWithDefaultFM
+ :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> elt -> key -> elt
+ -- lookupWithDefaultFM supplies a "default" elt
+ -- to return for an unmapped key
+
+-- LISTIFYING
+fmToList :: FiniteMap key elt -> [(key,elt)]
+keysFM :: FiniteMap key elt -> [key]
+eltsFM :: FiniteMap key elt -> [elt]
+
+-- ---------------------------------------------------------------------------
+-- The @FiniteMap@ data type, and building of same
+
+-- Invariants about @FiniteMap@:
+--
+-- * all keys in a FiniteMap are distinct
+--
+-- * all keys in left subtree are $<$ key in Branch and
+-- all keys in right subtree are $>$ key in Branch
+--
+-- * size field of a Branch gives number of Branch nodes in the tree
+--
+-- * size of left subtree is differs from size of right subtree by a
+-- factor of at most \tr{sIZE_RATIO}
+
+data FiniteMap key elt
+ = EmptyFM
+ | Branch key elt -- Key and elt stored here
+ IF_GHC(Int#,Int{-STRICT-}) -- Size >= 1
+ (FiniteMap key elt) -- Children
+ (FiniteMap key elt)
+
+
+emptyFM = EmptyFM
+{-
+emptyFM
+ = Branch bottom bottom IF_GHC(0#,0) bottom bottom
+ where
+ bottom = panic "emptyFM"
+-}
+
+-- #define EmptyFM (Branch _ _ IF_GHC(0#,0) _ _)
+
+unitFM key elt = Branch key elt IF_GHC(1#,1) emptyFM emptyFM
+
+listToFM = addListToFM emptyFM
+
+#ifdef COMPILING_GHC
+bagToFM = foldBag plusFM (\ (k,v) -> unitFM k v) emptyFM
+#endif
+
+
+-- ---------------------------------------------------------------------------
+-- Adding to and deleting from @FiniteMaps@
+
+addToFM fm key elt = addToFM_C (\ old new -> new) fm key elt
+
+addToFM_C combiner EmptyFM key elt = unitFM key elt
+addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt
+#ifdef __GLASGOW_HASKELL__
+ = case _tagCmp new_key key of
+ _LT -> mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
+ _GT -> mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
+ _EQ -> Branch new_key (combiner elt new_elt) size fm_l fm_r
+#else
+ | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
+ | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
+ | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r
+#endif
+
+addListToFM fm key_elt_pairs = addListToFM_C (\ old new -> new) fm key_elt_pairs
+
+addListToFM_C combiner fm key_elt_pairs
+ = foldl add fm key_elt_pairs -- foldl adds from the left
+ where
+ add fmap (key,elt) = addToFM_C combiner fmap key elt
+
+
+delFromFM EmptyFM del_key = emptyFM
+delFromFM (Branch key elt size fm_l fm_r) del_key
+#if __GLASGOW_HASKELL__
+ = case _tagCmp del_key key of
+ _GT -> mkBalBranch key elt fm_l (delFromFM fm_r del_key)
+ _LT -> mkBalBranch key elt (delFromFM fm_l del_key) fm_r
+ _EQ -> glueBal fm_l fm_r
+#else
+ | del_key > key
+ = mkBalBranch key elt fm_l (delFromFM fm_r del_key)
+
+ | del_key < key
+ = mkBalBranch key elt (delFromFM fm_l del_key) fm_r
+
+ | key == del_key
+ = glueBal fm_l fm_r
+#endif
+
+delListFromFM fm keys = foldl delFromFM fm keys
+
+-- ---------------------------------------------------------------------------
+-- Combining @FiniteMaps@
+
+plusFM_C combiner EmptyFM fm2 = fm2
+plusFM_C combiner fm1 EmptyFM = fm1
+plusFM_C combiner fm1 (Branch split_key elt2 _ left right)
+ = mkVBalBranch split_key new_elt
+ (plusFM_C combiner lts left)
+ (plusFM_C combiner gts right)
+ where
+ lts = splitLT fm1 split_key
+ gts = splitGT fm1 split_key
+ new_elt = case lookupFM fm1 split_key of
+ Nothing -> elt2
+ Just elt1 -> combiner elt1 elt2
+
+-- It's worth doing plusFM specially, because we don't need
+-- to do the lookup in fm1.
+
+plusFM EmptyFM fm2 = fm2
+plusFM fm1 EmptyFM = fm1
+plusFM fm1 (Branch split_key elt1 _ left right)
+ = mkVBalBranch split_key elt1 (plusFM lts left) (plusFM gts right)
+ where
+ lts = splitLT fm1 split_key
+ gts = splitGT fm1 split_key
+
+minusFM EmptyFM fm2 = emptyFM
+minusFM fm1 EmptyFM = fm1
+minusFM fm1 (Branch split_key elt _ left right)
+ = glueVBal (minusFM lts left) (minusFM gts right)
+ -- The two can be way different, so we need glueVBal
+ where
+ lts = splitLT fm1 split_key -- NB gt and lt, so the equal ones
+ gts = splitGT fm1 split_key -- are not in either.
+
+intersectFM fm1 fm2 = intersectFM_C (\ left right -> right) fm1 fm2
+
+intersectFM_C combiner fm1 EmptyFM = emptyFM
+intersectFM_C combiner EmptyFM fm2 = emptyFM
+intersectFM_C combiner fm1 (Branch split_key elt2 _ left right)
+
+ | isJust maybe_elt1 -- split_elt *is* in intersection
+ = mkVBalBranch split_key (combiner elt1 elt2) (intersectFM_C combiner lts left)
+ (intersectFM_C combiner gts right)
+
+ | otherwise -- split_elt is *not* in intersection
+ = glueVBal (intersectFM_C combiner lts left) (intersectFM_C combiner gts right)
+
+ where
+ lts = splitLT fm1 split_key -- NB gt and lt, so the equal ones
+ gts = splitGT fm1 split_key -- are not in either.
+
+ maybe_elt1 = lookupFM fm1 split_key
+ Just elt1 = maybe_elt1
+
+
+-- ---------------------------------------------------------------------------
+-- Mapping, folding, and filtering with @FiniteMaps@
+
+foldFM k z EmptyFM = z
+foldFM k z (Branch key elt _ fm_l fm_r)
+ = foldFM k (k key elt (foldFM k z fm_r)) fm_l
+
+mapFM f EmptyFM = emptyFM
+mapFM f (Branch key elt size fm_l fm_r)
+ = Branch key (f key elt) size (mapFM f fm_l) (mapFM f fm_r)
+
+filterFM p EmptyFM = emptyFM
+filterFM p (Branch key elt _ fm_l fm_r)
+ | p key elt -- Keep the item
+ = mkVBalBranch key elt (filterFM p fm_l) (filterFM p fm_r)
+
+ | otherwise -- Drop the item
+ = glueVBal (filterFM p fm_l) (filterFM p fm_r)
+
+
+-- ---------------------------------------------------------------------------
+-- Interrogating @FiniteMaps@
+
+--{-# INLINE sizeFM #-}
+sizeFM EmptyFM = 0
+sizeFM (Branch _ _ size _ _) = IF_GHC(I# size, size)
+
+isEmptyFM fm = sizeFM fm == 0
+
+lookupFM EmptyFM key = Nothing
+lookupFM (Branch key elt _ fm_l fm_r) key_to_find
+#if __GLASGOW_HASKELL__
+ = case _tagCmp key_to_find key of
+ _LT -> lookupFM fm_l key_to_find
+ _GT -> lookupFM fm_r key_to_find
+ _EQ -> Just elt
+#else
+ | key_to_find < key = lookupFM fm_l key_to_find
+ | key_to_find > key = lookupFM fm_r key_to_find
+ | otherwise = Just elt
+#endif
+
+key `elemFM` fm
+ = case (lookupFM fm key) of { Nothing -> False; Just elt -> True }
+
+lookupWithDefaultFM fm deflt key
+ = case (lookupFM fm key) of { Nothing -> deflt; Just elt -> elt }
+
+
+-- ---------------------------------------------------------------------------
+-- Listifying @FiniteMaps@
+
+fmToList fm = foldFM (\ key elt rest -> (key,elt) : rest) [] fm
+keysFM fm = foldFM (\ key elt rest -> key : rest) [] fm
+eltsFM fm = foldFM (\ key elt rest -> elt : rest) [] fm
+
+
+-- ---------------------------------------------------------------------------
+-- The implementation of balancing
+
+-- Basic construction of a @FiniteMap@:
+
+-- @mkBranch@ simply gets the size component right. This is the ONLY
+-- (non-trivial) place the Branch object is built, so the ASSERTion
+-- recursively checks consistency. (The trivial use of Branch is in
+-- @unitFM@.)
+
+sIZE_RATIO :: Int
+sIZE_RATIO = 5
+
+mkBranch :: (Ord key OUTPUTABLE_key) -- Used for the assertion checking only
+ => Int
+ -> key -> elt
+ -> FiniteMap key elt -> FiniteMap key elt
+ -> FiniteMap key elt
+
+mkBranch which key elt fm_l fm_r
+ = --ASSERT( left_ok && right_ok && balance_ok )
+#if defined(COMPILING_GHC) && defined(DEBUG_FINITEMAPS)
+ if not ( left_ok && right_ok && balance_ok ) then
+ pprPanic ("mkBranch:"++show which) (ppAboves [ppr PprDebug [left_ok, right_ok, balance_ok],
+ ppr PprDebug key,
+ ppr PprDebug fm_l,
+ ppr PprDebug fm_r])
+ else
+#endif
+ let
+ result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
+ in
+-- if sizeFM result <= 8 then
+ result
+-- else
+-- pprTrace ("mkBranch:"++(show which)) (ppr PprDebug result) (
+-- result
+-- )
+ where
+ left_ok = case fm_l of
+ EmptyFM -> True
+ Branch left_key _ _ _ _ -> let
+ biggest_left_key = fst (findMax fm_l)
+ in
+ biggest_left_key < key
+ right_ok = case fm_r of
+ EmptyFM -> True
+ Branch right_key _ _ _ _ -> let
+ smallest_right_key = fst (findMin fm_r)
+ in
+ key < smallest_right_key
+ balance_ok = True -- sigh
+{- LATER:
+ balance_ok
+ = -- Both subtrees have one or no elements...
+ (left_size + right_size <= 1)
+-- NO || left_size == 0 -- ???
+-- NO || right_size == 0 -- ???
+ -- ... or the number of elements in a subtree does not exceed
+ -- sIZE_RATIO times the number of elements in the other subtree
+ || (left_size * sIZE_RATIO >= right_size &&
+ right_size * sIZE_RATIO >= left_size)
+-}
+
+ left_size = sizeFM fm_l
+ right_size = sizeFM fm_r
+
+#if __GLASGOW_HASKELL__
+ unbox :: Int -> Int#
+ unbox (I# size) = size
+#else
+ unbox :: Int -> Int
+ unbox x = x
+#endif
+
+
+-- ---------------------------------------------------------------------------
+-- {\em Balanced} construction of a @FiniteMap@
+
+-- @mkBalBranch@ rebalances, assuming that the subtrees aren't too far
+-- out of whack.
+
+mkBalBranch :: (Ord key OUTPUTABLE_key)
+ => key -> elt
+ -> FiniteMap key elt -> FiniteMap key elt
+ -> FiniteMap key elt
+
+mkBalBranch key elt fm_L fm_R
+
+ | size_l + size_r < 2
+ = mkBranch 1{-which-} key elt fm_L fm_R
+
+ | size_r > sIZE_RATIO * size_l -- Right tree too big
+ = case fm_R of
+ Branch _ _ _ fm_rl fm_rr
+ | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R
+ | otherwise -> double_L fm_L fm_R
+ -- Other case impossible
+
+ | size_l > sIZE_RATIO * size_r -- Left tree too big
+ = case fm_L of
+ Branch _ _ _ fm_ll fm_lr
+ | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R
+ | otherwise -> double_R fm_L fm_R
+ -- Other case impossible
+
+ | otherwise -- No imbalance
+ = mkBranch 2{-which-} key elt fm_L fm_R
+
+ where
+ size_l = sizeFM fm_L
+ size_r = sizeFM fm_R
+
+ single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr)
+ = mkBranch 3{-which-} key_r elt_r (mkBranch 4{-which-} key elt fm_l fm_rl) fm_rr
+
+ double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr)
+ = mkBranch 5{-which-} key_rl elt_rl (mkBranch 6{-which-} key elt fm_l fm_rll)
+ (mkBranch 7{-which-} key_r elt_r fm_rlr fm_rr)
+
+ single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r
+ = mkBranch 8{-which-} key_l elt_l fm_ll (mkBranch 9{-which-} key elt fm_lr fm_r)
+
+ double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r
+ = mkBranch 10{-which-} key_lr elt_lr (mkBranch 11{-which-} key_l elt_l fm_ll fm_lrl)
+ (mkBranch 12{-which-} key elt fm_lrr fm_r)
+
+
+mkVBalBranch :: (Ord key OUTPUTABLE_key)
+ => key -> elt
+ -> FiniteMap key elt -> FiniteMap key elt
+ -> FiniteMap key elt
+
+-- Assert: in any call to (mkVBalBranch_C comb key elt l r),
+-- (a) all keys in l are < all keys in r
+-- (b) all keys in l are < key
+-- (c) all keys in r are > key
+
+mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt
+mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt
+
+mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr)
+ fm_r@(Branch key_r elt_r _ fm_rl fm_rr)
+ | sIZE_RATIO * size_l < size_r
+ = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr
+
+ | sIZE_RATIO * size_r < size_l
+ = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r)
+
+ | otherwise
+ = mkBranch 13{-which-} key elt fm_l fm_r
+
+ where
+ size_l = sizeFM fm_l
+ size_r = sizeFM fm_r
+
+-- ---------------------------------------------------------------------------
+-- Gluing two trees together
+
+-- @glueBal@ assumes its two arguments aren't too far out of whack, just
+-- like @mkBalBranch@. But: all keys in first arg are $<$ all keys in
+-- second.
+
+glueBal :: (Ord key OUTPUTABLE_key)
+ => FiniteMap key elt -> FiniteMap key elt
+ -> FiniteMap key elt
+
+glueBal EmptyFM fm2 = fm2
+glueBal fm1 EmptyFM = fm1
+glueBal fm1 fm2
+ -- The case analysis here (absent in Adams' program) is really to deal
+ -- with the case where fm2 is a singleton. Then deleting the minimum means
+ -- we pass an empty tree to mkBalBranch, which breaks its invariant.
+ | sizeFM fm2 > sizeFM fm1
+ = mkBalBranch mid_key2 mid_elt2 fm1 (deleteMin fm2)
+
+ | otherwise
+ = mkBalBranch mid_key1 mid_elt1 (deleteMax fm1) fm2
+ where
+ (mid_key1, mid_elt1) = findMax fm1
+ (mid_key2, mid_elt2) = findMin fm2
+
+-- @glueVBal@ copes with arguments which can be of any size.
+-- But: all keys in first arg are $<$ all keys in second.
+
+glueVBal :: (Ord key OUTPUTABLE_key)
+ => FiniteMap key elt -> FiniteMap key elt
+ -> FiniteMap key elt
+
+glueVBal EmptyFM fm2 = fm2
+glueVBal fm1 EmptyFM = fm1
+glueVBal fm_l@(Branch key_l elt_l _ fm_ll fm_lr)
+ fm_r@(Branch key_r elt_r _ fm_rl fm_rr)
+ | sIZE_RATIO * size_l < size_r
+ = mkBalBranch key_r elt_r (glueVBal fm_l fm_rl) fm_rr
+
+ | sIZE_RATIO * size_r < size_l
+ = mkBalBranch key_l elt_l fm_ll (glueVBal fm_lr fm_r)
+
+ | otherwise -- We now need the same two cases as in glueBal above.
+ = glueBal fm_l fm_r
+ where
+ size_l = sizeFM fm_l
+ size_r = sizeFM fm_r
+
+
+-- ---------------------------------------------------------------------------
+-- Local utilities
+
+splitLT, splitGT :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> key -> FiniteMap key elt
+
+-- splitLT fm split_key = fm restricted to keys < split_key
+-- splitGT fm split_key = fm restricted to keys > split_key
+
+splitLT EmptyFM split_key = emptyFM
+splitLT (Branch key elt _ fm_l fm_r) split_key
+#if __GLASGOW_HASKELL__
+ = case _tagCmp split_key key of
+ _LT -> splitLT fm_l split_key
+ _GT -> mkVBalBranch key elt fm_l (splitLT fm_r split_key)
+ _EQ -> fm_l
+#else
+ | split_key < key = splitLT fm_l split_key
+ | split_key > key = mkVBalBranch key elt fm_l (splitLT fm_r split_key)
+ | otherwise = fm_l
+#endif
+
+splitGT EmptyFM split_key = emptyFM
+splitGT (Branch key elt _ fm_l fm_r) split_key
+#if __GLASGOW_HASKELL__
+ = case _tagCmp split_key key of
+ _GT -> splitGT fm_r split_key
+ _LT -> mkVBalBranch key elt (splitGT fm_l split_key) fm_r
+ _EQ -> fm_r
+#else
+ | split_key > key = splitGT fm_r split_key
+ | split_key < key = mkVBalBranch key elt (splitGT fm_l split_key) fm_r
+ | otherwise = fm_r
+#endif
+
+findMin :: FiniteMap key elt -> (key,elt)
+findMin (Branch key elt _ EmptyFM _) = (key,elt)
+findMin (Branch key elt _ fm_l _) = findMin fm_l
+
+deleteMin :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> FiniteMap key elt
+deleteMin (Branch key elt _ EmptyFM fm_r) = fm_r
+deleteMin (Branch key elt _ fm_l fm_r) = mkBalBranch key elt (deleteMin fm_l) fm_r
+
+findMax :: FiniteMap key elt -> (key,elt)
+findMax (Branch key elt _ _ EmptyFM) = (key,elt)
+findMax (Branch key elt _ _ fm_r) = findMax fm_r
+
+deleteMax :: (Ord key OUTPUTABLE_key) => FiniteMap key elt -> FiniteMap key elt
+deleteMax (Branch key elt _ fm_l EmptyFM) = fm_l
+deleteMax (Branch key elt _ fm_l fm_r) = mkBalBranch key elt fm_l (deleteMax fm_r)
+
+
+-- ---------------------------------------------------------------------------
+-- Output-ery
+
+#if defined(COMPILING_GHC) && defined(DEBUG_FINITEMAPS)
+
+instance (Outputable key) => Outputable (FiniteMap key elt) where
+ ppr sty fm = pprX sty fm
+
+pprX sty EmptyFM = ppChar '!'
+pprX sty (Branch key elt sz fm_l fm_r)
+ = ppBesides [ppLparen, pprX sty fm_l, ppSP,
+ ppr sty key, ppSP, ppInt (IF_GHC(I# sz, sz)), ppSP,
+ pprX sty fm_r, ppRparen]
+#endif
+
+#ifndef COMPILING_GHC
+instance (Eq key, Eq elt) => Eq (FiniteMap key elt) where
+ fm_1 == fm_2 = (sizeFM fm_1 == sizeFM fm_2) && -- quick test
+ (fmToList fm_1 == fmToList fm_2)
+
+{- NO: not clear what The Right Thing to do is:
+instance (Ord key, Ord elt) => Ord (FiniteMap key elt) where
+ fm_1 <= fm_2 = (sizeFM fm_1 <= sizeFM fm_2) && -- quick test
+ (fmToList fm_1 <= fmToList fm_2)
+-}
+#endif
+
+-- ---------------------------------------------------------------------------
+-- Efficiency pragmas for GHC
+
+-- When the FiniteMap module is used in GHC, we specialise it for
+-- \tr{Uniques}, for dastardly efficiency reasons.
+
+#if defined(COMPILING_GHC) && __GLASGOW_HASKELL__ && !defined(REALLY_HASKELL_1_3)
+
+{-# SPECIALIZE addListToFM
+ :: FiniteMap (FAST_STRING, FAST_STRING) elt -> [((FAST_STRING, FAST_STRING),elt)] -> FiniteMap (FAST_STRING, FAST_STRING) elt
+ , FiniteMap RdrName elt -> [(RdrName,elt)] -> FiniteMap RdrName elt
+ IF_NCG(COMMA FiniteMap Reg elt -> [(Reg COMMA elt)] -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE addListToFM_C
+ :: (elt -> elt -> elt) -> FiniteMap TyCon elt -> [(TyCon,elt)] -> FiniteMap TyCon elt
+ , (elt -> elt -> elt) -> FiniteMap FAST_STRING elt -> [(FAST_STRING,elt)] -> FiniteMap FAST_STRING elt
+ IF_NCG(COMMA (elt -> elt -> elt) -> FiniteMap Reg elt -> [(Reg COMMA elt)] -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE addToFM
+ :: FiniteMap CLabel elt -> CLabel -> elt -> FiniteMap CLabel elt
+ , FiniteMap FAST_STRING elt -> FAST_STRING -> elt -> FiniteMap FAST_STRING elt
+ , FiniteMap (FAST_STRING, FAST_STRING) elt -> (FAST_STRING, FAST_STRING) -> elt -> FiniteMap (FAST_STRING, FAST_STRING) elt
+ , FiniteMap RdrName elt -> RdrName -> elt -> FiniteMap RdrName elt
+ , FiniteMap OrigName elt -> OrigName -> elt -> FiniteMap OrigName elt
+ IF_NCG(COMMA FiniteMap Reg elt -> Reg -> elt -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE addToFM_C
+ :: (elt -> elt -> elt) -> FiniteMap (RdrName, RdrName) elt -> (RdrName, RdrName) -> elt -> FiniteMap (RdrName, RdrName) elt
+ , (elt -> elt -> elt) -> FiniteMap (OrigName, OrigName) elt -> (OrigName, OrigName) -> elt -> FiniteMap (OrigName, OrigName) elt
+ , (elt -> elt -> elt) -> FiniteMap FAST_STRING elt -> FAST_STRING -> elt -> FiniteMap FAST_STRING elt
+ IF_NCG(COMMA (elt -> elt -> elt) -> FiniteMap Reg elt -> Reg -> elt -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE bagToFM
+ :: Bag (FAST_STRING,elt) -> FiniteMap FAST_STRING elt
+ #-}
+{-# SPECIALIZE delListFromFM
+ :: FiniteMap RdrName elt -> [RdrName] -> FiniteMap RdrName elt
+ , FiniteMap OrigName elt -> [OrigName] -> FiniteMap OrigName elt
+ , FiniteMap FAST_STRING elt -> [FAST_STRING] -> FiniteMap FAST_STRING elt
+ IF_NCG(COMMA FiniteMap Reg elt -> [Reg] -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE listToFM
+ :: [([Char],elt)] -> FiniteMap [Char] elt
+ , [(FAST_STRING,elt)] -> FiniteMap FAST_STRING elt
+ , [((FAST_STRING,FAST_STRING),elt)] -> FiniteMap (FAST_STRING, FAST_STRING) elt
+ , [(OrigName,elt)] -> FiniteMap OrigName elt
+ IF_NCG(COMMA [(Reg COMMA elt)] -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE lookupFM
+ :: FiniteMap CLabel elt -> CLabel -> Maybe elt
+ , FiniteMap [Char] elt -> [Char] -> Maybe elt
+ , FiniteMap FAST_STRING elt -> FAST_STRING -> Maybe elt
+ , FiniteMap (FAST_STRING,FAST_STRING) elt -> (FAST_STRING,FAST_STRING) -> Maybe elt
+ , FiniteMap OrigName elt -> OrigName -> Maybe elt
+ , FiniteMap (OrigName,OrigName) elt -> (OrigName,OrigName) -> Maybe elt
+ , FiniteMap RdrName elt -> RdrName -> Maybe elt
+ , FiniteMap (RdrName,RdrName) elt -> (RdrName,RdrName) -> Maybe elt
+ IF_NCG(COMMA FiniteMap Reg elt -> Reg -> Maybe elt)
+ #-}
+{-# SPECIALIZE lookupWithDefaultFM
+ :: FiniteMap FAST_STRING elt -> elt -> FAST_STRING -> elt
+ IF_NCG(COMMA FiniteMap Reg elt -> elt -> Reg -> elt)
+ #-}
+{-# SPECIALIZE plusFM
+ :: FiniteMap RdrName elt -> FiniteMap RdrName elt -> FiniteMap RdrName elt
+ , FiniteMap OrigName elt -> FiniteMap OrigName elt -> FiniteMap OrigName elt
+ , FiniteMap FAST_STRING elt -> FiniteMap FAST_STRING elt -> FiniteMap FAST_STRING elt
+ IF_NCG(COMMA FiniteMap Reg elt -> FiniteMap Reg elt -> FiniteMap Reg elt)
+ #-}
+{-# SPECIALIZE plusFM_C
+ :: (elt -> elt -> elt) -> FiniteMap FAST_STRING elt -> FiniteMap FAST_STRING elt -> FiniteMap FAST_STRING elt
+ IF_NCG(COMMA (elt -> elt -> elt) -> FiniteMap Reg elt -> FiniteMap Reg elt -> FiniteMap Reg elt)
+ #-}
+
+#endif {- compiling for GHC -}