Extra/trees changes
parent
d5baea215d
commit
05b76f181f
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@ -1,10 +1,34 @@
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USING: kernel tools.test trees trees.avl math random sequences ;
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USING: kernel tools.test trees trees.avl math random sequences assocs ;
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IN: temporary
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[ "key1" 0 "key2" 0 ] [ T{ avl-node T{ node f "key1" f f T{ avl-node T{ node f "key2" } 1 } } 2 } [ single-rotate ] go-left [ node-left dup node-key swap avl-node-balance ] keep dup node-key swap avl-node-balance ] unit-test
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[ "key1" 0 "key2" 0 ] [ T{ avl-node T{ node f "key1" f f T{ avl-node T{ node f "key2" } 1 } } 2 } [ select-rotate ] go-left [ node-left dup node-key swap avl-node-balance ] keep dup node-key swap avl-node-balance ] unit-test
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[ "key1" 0 "key2" 0 ] [ T{ avl-node T{ node f "key1" f T{ avl-node T{ node f "key2" } -1 } } -2 } [ single-rotate ] go-right [ node-right dup node-key swap avl-node-balance ] keep dup node-key swap avl-node-balance ] unit-test
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[ "key1" 0 "key2" 0 ] [ T{ avl-node T{ node f "key1" f T{ avl-node T{ node f "key2" } -1 } } -2 } [ select-rotate ] go-right [ node-right dup node-key swap avl-node-balance ] keep dup node-key swap avl-node-balance ] unit-test
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[ "key1" 0 "key2" 0 ] [
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T{ avl-node T{ node f "key1" f f T{ avl-node T{ node f "key2" } 1 } } 2 }
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[ single-rotate ] go-left
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[ node-left dup node-key swap avl-node-balance ] keep
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dup node-key swap avl-node-balance
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] unit-test
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[ "key1" 0 "key2" 0 ] [
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T{ avl-node T{ node f "key1" f f T{ avl-node T{ node f "key2" } 1 } } 2 }
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[ select-rotate ] go-left
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[ node-left dup node-key swap avl-node-balance ] keep
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dup node-key swap avl-node-balance
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] unit-test
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[ "key1" 0 "key2" 0 ] [
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T{ avl-node T{ node f "key1" f T{ avl-node T{ node f "key2" } -1 } } -2 }
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[ single-rotate ] go-right
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[ node-right dup node-key swap avl-node-balance ] keep
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dup node-key swap avl-node-balance
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] unit-test
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[ "key1" 0 "key2" 0 ] [
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T{ avl-node T{ node f "key1" f T{ avl-node T{ node f "key2" } -1 } } -2 }
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[ select-rotate ] go-right
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[ node-right dup node-key swap avl-node-balance ] keep
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dup node-key swap avl-node-balance
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] unit-test
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[ "key1" -1 "key2" 0 "key3" 0 ]
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[ T{ avl-node T{ node f "key1" f f
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T{ avl-node T{ node f "key2" f
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@ -61,77 +85,37 @@ IN: temporary
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[ node-left dup node-key swap avl-node-balance ] keep
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dup node-key swap avl-node-balance ] unit-test
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! random testing uncovered this little bugger
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[ t t ] [ f "d" T{ avl-node
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T{ node f "e" f
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T{ avl-node
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T{ node f "b" f
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T{ avl-node T{ node f "a" } 0 }
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T{ avl-node T{ node f "c" f } 0 }
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0 }
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0 }
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T{ avl-node T{ node f "f" } 0 } }
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-1 } node-set dup valid-avl-node? nip swap valid-node? ] unit-test
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[ "eight" ] [
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<avl> "seven" 7 pick set-at
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"eight" 8 pick set-at "nine" 9 pick set-at
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tree-root node-value
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] unit-test
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[ "eight" ] [ <avl-tree> "seven" 7 pick tree-insert "eight" 8 pick tree-insert "nine" 9 pick tree-insert tree-root node-value ] unit-test
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[ "another eight" ] [ <avl-tree> "seven" 7 pick tree-set "eight" 8 pick tree-set "another eight" 8 pick tree-set 8 swap tree-get ] unit-test
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! [ <avl-tree> "seven" 7 pick tree-insert
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[ t t ] [ <avl-tree> 3 increasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 9 increasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test ! fails when tree growth isn't terminated after a rebalance
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[ t t ] [ <avl-tree> 10 increasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 3 decreasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 4 decreasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 5 decreasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 10 decreasing-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 5 random-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 19 random-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 30 random-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 82 random-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ t t ] [ <avl-tree> 100 random-tree dup valid-avl-tree? swap valid-tree? ] unit-test
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[ "another eight" ] [
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<avl> "seven" 7 pick set-at
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"another eight" 8 pick set-at 8 swap at
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] unit-test
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! borrowed from tests/bst.factor
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: test-tree ( -- tree )
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<avl-tree>
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"seven" 7 pick tree-insert
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"nine" 9 pick tree-insert
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"four" 4 pick tree-insert
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"another four" 4 pick tree-insert
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"replaced seven" 7 pick tree-set ;
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<avl>
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"seven" 7 pick set-at
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"nine" 9 pick set-at
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"four" 4 pick set-at
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"replaced four" 4 pick set-at
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"replaced seven" 7 pick set-at ;
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! test tree-insert, tree-set, tree-get, tree-get*, and tree-get-all
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[ "seven" ] [ <avl-tree> "seven" 7 pick tree-insert 7 swap tree-get ] unit-test
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[ "seven" t ] [ <avl-tree> "seven" 7 pick tree-insert 7 swap tree-get* ] unit-test
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[ f f ] [ <avl-tree> "seven" 7 pick tree-insert 8 swap tree-get* ] unit-test
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[ "seven" ] [ <avl-tree> "seven" 7 pick tree-set 7 swap tree-get ] unit-test
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[ "replacement" ] [ <avl-tree> "seven" 7 pick tree-insert "replacement" 7 pick tree-set 7 swap tree-get ] unit-test
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[ "nine" ] [ test-tree 9 swap tree-get ] unit-test
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[ t ] [ test-tree 4 swap tree-get-all { "another four" "four" } sequence= ] unit-test
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[ t ] [ test-tree 11 swap tree-get-all empty? ] unit-test
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[ t ] [ test-tree 7 swap tree-get-all { "replaced seven" } sequence= ] unit-test
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! test tree-delete
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[ f ] [ test-tree 9 over tree-delete 9 swap tree-get ] unit-test
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[ "replaced seven" ] [ test-tree 9 over tree-delete 7 swap tree-get ] unit-test
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[ f ] [ test-tree 4 over tree-delete-all 4 swap tree-get ] unit-test
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[ "nine" ] [ test-tree 7 over tree-delete 4 over tree-delete 9 swap tree-get ] unit-test
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[ "nine" ] [ test-tree 7 over tree-delete 4 over tree-delete-all 9 swap tree-get ] unit-test
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: test-random-deletions ( tree -- ? )
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#! deletes one node at random from the tree, checking avl and tree
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#! properties after each deletion, until the tree is empty
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dup stump? [
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drop t
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] [
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dup tree-keys random over tree-delete dup valid-avl-tree? over valid-tree? and [
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test-random-deletions
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] [
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dup print-tree
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] if
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] if ;
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[ t ] [ <avl-tree> 5 random-tree test-random-deletions ] unit-test
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[ t ] [ <avl-tree> 30 random-tree test-random-deletions ] unit-test
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[ t ] [ <avl-tree> 100 random-tree test-random-deletions ] unit-test
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! test set-at, at, at*
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[ "seven" ] [ <avl> "seven" 7 pick set-at 7 swap at ] unit-test
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[ "seven" t ] [ <avl> "seven" 7 pick set-at 7 swap at* ] unit-test
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[ f f ] [ <avl> "seven" 7 pick set-at 8 swap at* ] unit-test
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[ "seven" ] [ <avl> "seven" 7 pick set-at 7 swap at ] unit-test
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[ "replacement" ] [ <avl> "seven" 7 pick set-at "replacement" 7 pick set-at 7 swap at ] unit-test
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[ "nine" ] [ test-tree 9 swap at ] unit-test
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[ "replaced four" ] [ test-tree 4 swap at ] unit-test
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[ "replaced seven" ] [ test-tree 7 swap at ] unit-test
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! test delete-at
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[ f ] [ test-tree 9 over delete-at 9 swap at ] unit-test
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[ "replaced seven" ] [ test-tree 9 over delete-at 7 swap at ] unit-test
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[ "nine" ] [ test-tree 7 over delete-at 4 over delete-at 9 swap at ] unit-test
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@ -1,35 +1,20 @@
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! Copyright (C) 2007 Alex Chapman
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! See http://factorcode.org/license.txt for BSD license.
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USING: combinators kernel generic math math.functions math.parser namespaces io
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sequences trees ;
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USING: combinators kernel generic math math.functions math.parser
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namespaces io prettyprint.backend sequences trees assocs parser ;
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IN: trees.avl
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TUPLE: avl-tree ;
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TUPLE: avl ;
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: <avl-tree> ( -- tree )
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avl-tree construct-empty <tree> over set-delegate ;
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INSTANCE: avl assoc
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: <avl> ( -- tree )
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avl construct-empty <tree> over set-delegate ;
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TUPLE: avl-node balance ;
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: <avl-node> ( value key -- node )
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<node> 0 avl-node construct-boa tuck set-delegate ;
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M: avl-tree create-node ( value key tree -- node ) drop <avl-node> ;
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GENERIC: valid-avl-node? ( obj -- height valid? )
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M: f valid-avl-node? ( f -- height valid? ) drop 0 t ;
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: check-balance ( node left-height right-height -- node height valid? )
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2dup max 1+ >r swap - over avl-node-balance = r> swap ;
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M: avl-node valid-avl-node? ( node -- height valid? )
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#! check that this avl node has the right balance marked, and that it isn't unbalanced.
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dup node-left valid-avl-node? >r over node-right valid-avl-node? >r
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check-balance r> r> and and
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rot avl-node-balance abs 2 < and ;
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: valid-avl-tree? ( tree -- valid? ) tree-root valid-avl-node? nip ;
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: <avl-node> ( key value -- node )
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swap <node> 0 avl-node construct-boa tuck set-delegate ;
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: change-balance ( node amount -- )
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over avl-node-balance + swap set-avl-node-balance ;
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@ -65,30 +50,25 @@ M: avl-node valid-avl-node? ( node -- height valid? )
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{ [ drop t ] [ t ] } ! balance is -1 or 1, tree is taller
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} cond ;
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DEFER: avl-insert
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DEFER: avl-set
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: (avl-insert) ( value key node -- node taller? )
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[ avl-set ] [ <avl-node> t ] if* ;
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: avl-insert ( value key node -- node taller? )
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2dup node-key key< left right ? [
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[ node-link (avl-insert) ] keep swap
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>r tuck set-node-link r>
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[ dup current-side get change-balance balance-insert ] [ f ] if
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] with-side ;
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: avl-set ( value key node -- node taller? )
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2dup node-key key= [
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-rot pick set-node-key over set-node-value f
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] [ avl-insert ] if ;
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: avl-insert-or-set ( value key node -- node taller? )
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"setting" get [ avl-set ] [ avl-insert ] if ;
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: (avl-insert) ( value key node -- node taller? )
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[ avl-insert-or-set ] [ <avl-node> t ] if* ;
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: avl-insert ( value key node -- node taller? )
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2dup node-key key< left right ? [
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[ node-link (avl-insert) ] keep swap
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>r tuck set-node-link r> [ dup current-side get change-balance balance-insert ] [ f ] if
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] with-side ;
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M: avl-node node-insert ( value key node -- node )
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[ f "setting" set avl-insert-or-set ] with-scope drop ;
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M: avl-node node-set ( value key node -- node )
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[ t "setting" set avl-insert-or-set ] with-scope drop ;
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M: avl-node set-at ( value key node -- node )
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[ avl-set drop ] change-root ;
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: delete-select-rotate ( node -- node shorter? )
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dup node+link avl-node-balance zero? [
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@ -114,7 +94,8 @@ M: avl-node node-set ( value key node -- node )
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: avl-replace-with-extremity ( to-replace node -- node shorter? )
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dup node-link [
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swapd avl-replace-with-extremity >r over set-node-link r> [ balance-delete ] [ f ] if
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swapd avl-replace-with-extremity >r over set-node-link r>
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[ balance-delete ] [ f ] if
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] [
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tuck copy-node-contents node+link t
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] if* ;
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@ -122,11 +103,8 @@ M: avl-node node-set ( value key node -- node )
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: replace-with-a-child ( node -- node shorter? )
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#! assumes that node is not a leaf, otherwise will recurse forever
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dup node-link [
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dupd [ avl-replace-with-extremity ] with-other-side >r over set-node-link r> [
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balance-delete
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] [
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f
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] if
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dupd [ avl-replace-with-extremity ] with-other-side
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>r over set-node-link r> [ balance-delete ] [ f ] if
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] [
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[ replace-with-a-child ] with-other-side
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] if* ;
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dup leaf? [
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drop f t
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] [
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random-side [ replace-with-a-child ] with-side ! random not necessary, just for fun
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left [ replace-with-a-child ] with-side
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] if ;
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GENERIC: avl-delete ( key node -- node shorter? deleted? )
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@ -145,30 +123,33 @@ GENERIC: avl-delete ( key node -- node shorter? deleted? )
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M: f avl-delete ( key f -- f f f ) nip f f ;
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: (avl-delete) ( key node -- node shorter? deleted? )
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tuck node-link avl-delete >r >r over set-node-link r> [ balance-delete r> ] [ f r> ] if ;
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tuck node-link avl-delete >r >r over set-node-link r>
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[ balance-delete r> ] [ f r> ] if ;
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M: avl-node avl-delete ( key node -- node shorter? deleted? )
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2dup node-key key-side dup zero? [
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drop nip avl-delete-node t
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] [
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[
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(avl-delete)
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] with-side
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[ (avl-delete) ] with-side
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] if ;
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M: avl-node node-delete ( key node -- node ) avl-delete 2drop ;
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M: avl delete-at ( key node -- )
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[ avl-delete 2drop ] change-root ;
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M: avl-node node-delete-all ( key node -- node )
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#! deletes until there are no more. not optimal.
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dupd [ avl-delete nip ] with-scope [
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node-delete-all
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] [
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nip
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] if ;
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M: avl new-assoc
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2drop <avl> ;
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M: avl-node print-node ( depth node -- )
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over 1+ over node-right print-node
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over [ drop " " write ] each
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dup avl-node-balance number>string write " " write dup node-key number>string print
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>r 1+ r> node-left print-node ;
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: >avl ( assoc -- avl )
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T{ avl T{ tree f f 0 } } assoc-clone-like ;
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: AVL{
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\ } [ >avl ] parse-literal ; parsing
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M: avl pprint-delims drop \ AVL{ \ } ;
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M: avl >pprint-sequence >alist ;
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M: avl pprint-narrow? drop t ;
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! When tuple inheritance is used, the following lines won't be necessary
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M: avl assoc-size tree-count ;
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M: avl clear-assoc delegate clear-assoc ;
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M: avl assoc-find >r tree-root r> find-node ;
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@ -1,7 +1,8 @@
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! Copyright (C) 2007 Alex Chapman
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! See http://factorcode.org/license.txt for BSD license.
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USING: kernel generic math sequences arrays io namespaces
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prettyprint.private kernel.private assocs random combinators ;
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prettyprint.private kernel.private assocs random combinators
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parser prettyprint.backend ;
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IN: trees
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TUPLE: tree root count ;
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@ -179,3 +180,13 @@ DEFER: delete-node
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M: tree delete-at
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[ delete-bst-node ] change-root ;
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: >tree ( assoc -- bst )
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T{ tree f f 0 } assoc-clone-like ;
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: TREE{
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\ } [ >tree ] parse-literal ; parsing
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M: tree pprint-delims drop \ TREE{ \ } ;
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M: tree >pprint-sequence >alist ;
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M: tree pprint-narrow? drop t ;
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