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indexing description: "Sorted sets implemented as binary search trees" status: "See notice at end of class" names: binary_search_tree_set, set, binary_search_tree representation: recursive, array access: membership, min, max contents: generic date: "$Date: 2001-11-16 20:32:23 +0000 (Fri, 16 Nov 2001) $" revision: "$Revision: 51435 $" class BINARY_SEARCH_TREE_SET [G -> COMPARABLE] create make feature -- Initialization make is -- Create set. do before := True end feature {NONE} -- Access index_of (v: like item; i: INTEGER): INTEGER is -- Index of i-th occurrence of v. -- 0 if none. -- (Reference or object equality, -- based on object_comparison.) -- (from LINEAR) require -- from LINEAR positive_occurrences: i > 0 local occur, pos: INTEGER do if object_comparison and v /= void then from start pos := 1 until off or (occur = i) loop if item /= void and then v.is_equal (item) then occur := occur + 1 end forth pos := pos + 1 end else from start pos := 1 until off or (occur = i) loop if item = v then occur := occur + 1 end forth pos := pos + 1 end end if occur = i then Result := pos - 1 end ensure -- from LINEAR non_negative_result: Result >= 0 end occurrences (v: G): INTEGER is -- Number of times v appears. -- (Reference or object equality, -- based on object_comparison.) -- (from LINEAR) do from start search (v) until exhausted loop Result := Result + 1 forth search (v) end end sequential_search (v: like item) is -- Move to first position (at or after current -- position) where item and v are equal. -- (Reference or object equality, -- based on object_comparison.) -- If no such position ensure that exhausted will be true. -- (from LINEAR) do if object_comparison and v /= void then from until exhausted or else (item /= void and then v.is_equal (item)) loop forth end else from until exhausted or else v = item loop forth end end ensure -- from LINEAR object_found: (not exhausted and object_comparison) implies equal (v, item) item_found: (not exhausted and not object_comparison) implies v = item end feature -- Measurement count: INTEGER is -- Number of items in tree do if tree /= void then Result := tree.count end end item: G is -- Current item require -- from TRAVERSABLE not_off: not off require -- from TRAVERSABLE_SUBSET not_off: not off do Result := active_node.item end max: like item is -- Maximum item in tree require -- from COMPARABLE_SET not_empty: not is_empty do Result := tree.max end min: like item is -- Minimum item in tree require -- from COMPARABLE_SET not_empty: not is_empty do Result := tree.min end feature {NONE} -- Measurement cs_max: like item is -- Maximum item -- (from COMPARABLE_STRUCT) require -- from COMPARABLE_STRUCT min_max_available do from start Result := item forth until off loop if item > Result then Result := item end forth end end cs_min: like item is -- Minimum item -- (from COMPARABLE_STRUCT) require -- from COMPARABLE_STRUCT min_max_available do from start Result := item forth until off loop if item < Result then Result := item end forth end end min_max_available: BOOLEAN is -- Can min and max be computed? -- (from COMPARABLE_STRUCT) do Result := not is_empty ensure -- from COMPARABLE_STRUCT Result implies not is_empty end feature -- Comparison disjoint (other: TRAVERSABLE_SUBSET [G]): BOOLEAN is -- Do current set and other have no -- items in common? -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison local s: SUBSET_STRATEGY [G] do if not is_empty and not other.is_empty then s := subset_strategy (other) Result := s.disjoint (Current, other) else Result := True end end is_subset (other: TRAVERSABLE_SUBSET [G]): BOOLEAN is -- Is current set a subset of other? -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison do if not other.is_empty and then count <= other.count then from start until off or else not other.has (item) loop forth end if off then Result := True end elseif is_empty then Result := True end end is_superset (other: SUBSET [G]): BOOLEAN is -- Is current set a superset of other? -- (from SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison do Result := other.is_subset (Current) end feature -- Status report after: BOOLEAN -- Is there no valid cursor position to the right of cursor? before: BOOLEAN -- Is there no valid cursor position to the left of cursor? empty: BOOLEAN is obsolete "ELKS 2000: Use `is_empty' instead" -- Is there no element? -- (from CONTAINER) do Result := is_empty end Extendible: BOOLEAN is True -- Can new items be added? (Answer: yes.) has (v: like item): BOOLEAN is -- Is there a node with item v in tree? -- (Reference or object equality, -- based on object_comparison.) do if tree /= void then Result := tree.has (v) end ensure -- from CONTAINER not_found_in_empty: Result implies not is_empty end is_empty: BOOLEAN is -- Is set empty? do Result := tree = void end is_inserted (v: G): BOOLEAN is -- Has v been inserted by the most recent insertion? -- (By default, the value returned is equivalent to calling -- `has (v)'. However, descendants might be able to provide more -- efficient implementations.) -- (from COLLECTION) do Result := has (v) end object_comparison: BOOLEAN -- Must search operations use equal rather than = -- for comparing references? (Default: no, use =.) -- (from CONTAINER) off: BOOLEAN is -- Is there no current item? -- off only if tree is_empty or if -- it is before or after. do Result := is_empty or Precursor {COMPARABLE_SET} end Prunable: BOOLEAN is True -- Can items be removed? (Answer: yes.) feature {NONE} -- Status report exhausted: BOOLEAN is -- Has structure been completely explored? -- (from LINEAR) do Result := off ensure -- from LINEAR exhausted_when_off: off implies Result end feature -- Status setting compare_objects is -- Ensure that future search operations will use equal -- rather than = for comparing references. -- (from CONTAINER) require -- from CONTAINER changeable_comparison_criterion do object_comparison := True ensure -- from CONTAINER object_comparison end compare_references is -- Ensure that future search operations will use = -- rather than equal for comparing references. -- (from CONTAINER) require -- from CONTAINER changeable_comparison_criterion do object_comparison := False ensure -- from CONTAINER reference_comparison: not object_comparison end feature -- Cursor movement back is -- Move cursor to previous node. require -- from BILINEAR not_before: not before local prev_node: like tree do if after then after := False if is_empty then before := True end else if active_node.has_left then active_node := active_node.left_child.max_node else prev_node := active_node active_node := active_node.parent from until active_node = void or else prev_node = active_node.right_child loop prev_node := active_node active_node := active_node.parent end if active_node = void then active_node := tree before := True end end end end finish is -- Move cursor to last node. do after := False if tree = void then before := True else before := False active_node := tree.max_node end end forth is -- Move cursor to next node. require -- from LINEAR not_after: not after require -- from TRAVERSABLE_SUBSET not_after: not after local prev_node: like tree do if before then before := False if is_empty then after := True end else if active_node.has_right then active_node := active_node.right_child.min_node else prev_node := active_node active_node := active_node.parent from until active_node = void or else prev_node = active_node.left_child loop prev_node := active_node active_node := active_node.parent end if active_node = void then active_node := tree after := True end end end end start is -- Move cursor to first node. do before := False if tree = void then after := True else after := False active_node := tree.min_node end end feature {NONE} -- Cursor movement search (v: like item) is -- Move to first position (at or after current -- position) where item and v are equal. -- If structure does not include v ensure that -- exhausted will be true. -- (Reference or object equality, -- based on object_comparison.) -- (from BILINEAR) do if before and not is_empty then forth end sequential_search (v) ensure -- from LINEAR object_found: (not exhausted and object_comparison) implies equal (v, item) item_found: (not exhausted and not object_comparison) implies v = item end feature -- Element change extend (v: like item) is -- Put v at proper position in set -- (unless one already exists). -- Was declared in BINARY_SEARCH_TREE_SET as synonym of put. require -- from COLLECTION extendible: extendible require else item_exists: v /= void do if tree = void then tree := new_tree (v) else if not has (v) then tree.extend (v) end end ensure -- from COLLECTION item_inserted: is_inserted (v) ensure then -- from SET in_set_already: old has (v) implies (count = old count) added_to_set: not old has (v) implies (count = old count + 1) end fill (other: CONTAINER [G]) is -- Fill with as many items of other as possible. -- The representations of other and current structure -- need not be the same. -- (from COLLECTION) require -- from COLLECTION other_not_void: other /= void extendible local lin_rep: LINEAR [G] do lin_rep := other.linear_representation from lin_rep.start until not extendible or else lin_rep.off loop extend (lin_rep.item) lin_rep.forth end end merge (other: CONTAINER [G]) is -- Add all items of other. -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison local lin_rep: LINEAR [G] do lin_rep ?= other if lin_rep = void then lin_rep := other.linear_representation end from lin_rep.start until lin_rep.off loop extend (lin_rep.item) lin_rep.forth end end put (v: like item) is -- Put v at proper position in set -- (unless one already exists). -- Was declared in BINARY_SEARCH_TREE_SET as synonym of extend. require -- from COLLECTION extendible: extendible require else item_exists: v /= void do if tree = void then tree := new_tree (v) else if not has (v) then tree.extend (v) end end ensure -- from COLLECTION item_inserted: is_inserted (v) ensure then -- from SET in_set_already: old has (v) implies (count = old count) added_to_set: not old has (v) implies (count = old count + 1) end feature -- Removal changeable_comparison_criterion: BOOLEAN is -- May object_comparison be changed? -- (Answer: only if set empty; otherwise insertions might -- introduce duplicates, destroying the set property.) -- (from SET) do Result := is_empty ensure then -- from SET only_on_empty: Result = is_empty end prune (v: like item) is -- Remove v. require -- from COLLECTION prunable: prunable do if tree /= void then tree := tree.pruned (v, tree.parent) end ensure then -- from SET removed_count_change: old has (v) implies (count = old count - 1) not_removed_no_count_change: not old has (v) implies (count = old count) item_deleted: not has (v) end prune_all (v: G) is -- Remove all occurrences of v. -- (Reference or object equality, -- based on object_comparison.) -- (from COLLECTION) require -- from COLLECTION prunable do from until not has (v) loop prune (v) end ensure -- from COLLECTION no_more_occurrences: not has (v) end remove is -- Remove current item. require -- from TRAVERSABLE_SUBSET not_off: not off do prune (item) end wipe_out is -- Remove all items. require -- from COLLECTION prunable do tree := void ensure -- from COLLECTION wiped_out: is_empty end feature -- Conversion linear_representation: LINEAR [G] is -- Representation as a linear structure -- (from LINEAR) do Result := Current end feature -- Duplication duplicate (n: INTEGER): BINARY_SEARCH_TREE_SET [G] is -- New structure containing min (n, count) -- items from current structure require -- from SUBSET non_negative: n >= 0 do create Result.make Result.set_tree (tree.duplicate (n)) ensure -- from SUBSET correct_count_1: n <= count implies Result.count = n correct_count_2: n >= count implies Result.count = count end feature -- Basic operations intersect (other: TRAVERSABLE_SUBSET [G]) is -- Remove all items not in other. -- No effect if other is_empty. -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison do if not other.is_empty then from start other.start until off loop if other.has (item) then forth else remove end end else wipe_out end ensure -- from SUBSET is_subset_other: is_subset (other) end subtract (other: TRAVERSABLE_SUBSET [G]) is -- Remove all items also in other. -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison do if not (other.is_empty or is_empty) then from start other.start until off loop if other.has (item) then remove else forth end end end ensure -- from SUBSET is_disjoint: disjoint (other) end symdif (other: TRAVERSABLE_SUBSET [G]) is -- Remove all items also in other, and add all -- items of other not already present. -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison local s: SUBSET_STRATEGY [G] do if not other.is_empty then if is_empty then copy (other) else s := subset_strategy (other) s.symdif (Current, other) end end end feature {NONE} -- Inapplicable index: INTEGER is -- (from COMPARABLE_STRUCT) do end feature {BINARY_SEARCH_TREE_SET} -- Implementation active_node: like tree set_tree (t: like tree) is -- Set tree and active_node to t do tree := t active_node := t end tree: BINARY_SEARCH_TREE [G] feature {NONE} -- Implementation new_tree (v: like item): like tree is -- New allocated node with item set to v do create Result.make (v) if object_comparison then Result.compare_objects end end subset_strategy (other: TRAVERSABLE_SUBSET [G]): SUBSET_STRATEGY [G] is -- Subset strategy suitable for the type of the contained elements. -- (from TRAVERSABLE_SUBSET) require -- from TRAVERSABLE_SUBSET not_empty: not is_empty do start check not_off: not off end Result := subset_strategy_selection (item, other) end subset_strategy_selection (v: G; other: TRAVERSABLE_SUBSET [G]): SUBSET_STRATEGY [G] is -- Strategy to calculate several subset features selected depending -- on the dynamic type of v and other require -- from TRAVERSABLE_SUBSET item_exists: v /= void other_exists: other /= void local h: HASHABLE do h ?= v if h /= void and object_comparison then create {SUBSET_STRATEGY_HASHABLE [G]} Result elseif object_comparison and same_type (other) then create {SUBSET_STRATEGY_TREE [G]} Result else create {SUBSET_STRATEGY_GENERIC [G]} Result end ensure -- from TRAVERSABLE_SUBSET strategy_set: Result /= void end feature {NONE} -- Iteration do_all (action: PROCEDURE [ANY, TUPLE [G]]) is -- Apply action to every item. -- Semantics not guaranteed if action changes the structure; -- in such a case, apply iterator to clone of structure instead. -- (from LINEAR) require -- from TRAVERSABLE action_exists: action /= void local t: TUPLE [G] do create t.make from start until after loop t.put (item, 1) action.call (t) forth end end do_if (action: PROCEDURE [ANY, TUPLE [G]]; test: FUNCTION [ANY, TUPLE [G], BOOLEAN]) is -- Apply action to every item that satisfies test. -- Semantics not guaranteed if action or test changes the structure; -- in such a case, apply iterator to clone of structure instead. -- (from LINEAR) require -- from TRAVERSABLE action_exists: action /= void test_exits: test /= void local t: TUPLE [G] do create t.make from start until after loop t.put (item, 1) if test.item (t) then action.call (t) end forth end end for_all (test: FUNCTION [ANY, TUPLE [G], BOOLEAN]): BOOLEAN is -- Is test true for all items? -- (from LINEAR) require -- from TRAVERSABLE test_exits: test /= void local cs: CURSOR_STRUCTURE [G] c: CURSOR t: TUPLE [G] do create t.make cs ?= Current if cs /= void then c := cs.cursor end from start Result := True until after or not Result loop t.put (item, 1) Result := test.item (t) forth end if cs /= void then cs.go_to (c) end end there_exists (test: FUNCTION [ANY, TUPLE [G], BOOLEAN]): BOOLEAN is -- Is test true for at least one item? -- (from LINEAR) require -- from TRAVERSABLE test_exits: test /= void local cs: CURSOR_STRUCTURE [G] c: CURSOR t: TUPLE [G] do create t.make cs ?= Current if cs /= void then c := cs.cursor end from start until after or Result loop t.put (item, 1) Result := test.item (t) forth end if cs /= void then cs.go_to (c) end end invariant comparison_mode_equal: tree /= void implies object_comparison = tree.object_comparison -- from ANY reflexive_equality: standard_is_equal (Current) reflexive_conformance: conforms_to (Current) -- from COMPARABLE_STRUCT empty_constraint: min_max_available implies not is_empty -- from BILINEAR not_both: not (after and before) before_constraint: before implies off -- from LINEAR after_constraint: after implies off -- from TRAVERSABLE empty_constraint: is_empty implies off -- from TRAVERSABLE_SUBSET empty_definition: is_empty = (count = 0) count_range: count >= 0 indexing library: "[ EiffelBase: Library of reusable components for Eiffel. ]" status: "[ Copyright 1986-2001 Interactive Software Engineering (ISE). For ISE customers the original versions are an ISE product covered by the ISE Eiffel license and support agreements. ]" license: "[ EiffelBase may now be used by anyone as FREE SOFTWARE to develop any product, public-domain or commercial, without payment to ISE, under the terms of the ISE Free Eiffel Library License (IFELL) at http://eiffel.com/products/base/license.html. ]" source: "[ Interactive Software Engineering Inc. ISE Building 360 Storke Road, Goleta, CA 93117 USA Telephone 805-685-1006, Fax 805-685-6869 Electronic mail <info@eiffel.com> Customer support http://support.eiffel.com ]" info: "[ For latest info see award-winning pages: http://eiffel.com ]" end -- class BINARY_SEARCH_TREE_SET
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