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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 interface BINARY_SEARCH_TREE_SET [G -> COMPARABLE] create make -- Create set. feature -- Initialization make -- Create set. feature -- Measurement count: INTEGER -- Number of items in tree item: G -- Current item require -- from TRAVERSABLE not_off: not off require -- from TRAVERSABLE_SUBSET not_off: not off max: like item -- Maximum item in tree require -- from COMPARABLE_SET not_empty: not is_empty min: like item -- Minimum item in tree require -- from COMPARABLE_SET not_empty: not is_empty feature -- Comparison disjoint (other: TRAVERSABLE_SUBSET [G]): BOOLEAN -- 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 is_subset (other: TRAVERSABLE_SUBSET [G]): BOOLEAN -- Is current set a subset of other? -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison is_superset (other: SUBSET [G]): BOOLEAN -- Is current set a superset of other? -- (from SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison 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? Extendible: BOOLEAN is True -- Can new items be added? (Answer: yes.) has (v: like item): BOOLEAN -- Is there a node with item v in tree? -- (Reference or object equality, -- based on object_comparison.) ensure -- from CONTAINER not_found_in_empty: Result implies not is_empty is_empty: BOOLEAN -- Is set empty? is_inserted (v: G): BOOLEAN -- 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) object_comparison: BOOLEAN -- Must search operations use equal rather than = -- for comparing references? (Default: no, use =.) -- (from CONTAINER) off: BOOLEAN -- Is there no current item? -- off only if tree is_empty or if -- it is before or after. Prunable: BOOLEAN is True -- Can items be removed? (Answer: yes.) feature -- Status setting compare_objects -- Ensure that future search operations will use equal -- rather than = for comparing references. -- (from CONTAINER) require -- from CONTAINER changeable_comparison_criterion ensure -- from CONTAINER object_comparison compare_references -- Ensure that future search operations will use = -- rather than equal for comparing references. -- (from CONTAINER) require -- from CONTAINER changeable_comparison_criterion ensure -- from CONTAINER reference_comparison: not object_comparison feature -- Cursor movement back -- Move cursor to previous node. require -- from BILINEAR not_before: not before finish -- Move cursor to last node. forth -- Move cursor to next node. require -- from LINEAR not_after: not after require -- from TRAVERSABLE_SUBSET not_after: not after start -- Move cursor to first node. feature -- Element change extend (v: like item) -- 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 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) fill (other: CONTAINER [G]) -- 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 merge (other: CONTAINER [G]) -- Add all items of other. -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison put (v: like item) -- 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 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) feature -- Removal changeable_comparison_criterion: BOOLEAN -- May object_comparison be changed? -- (Answer: only if set empty; otherwise insertions might -- introduce duplicates, destroying the set property.) -- (from SET) ensure then -- from SET only_on_empty: Result = is_empty prune (v: like item) -- Remove v. require -- from COLLECTION prunable: prunable 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) prune_all (v: G) -- Remove all occurrences of v. -- (Reference or object equality, -- based on object_comparison.) -- (from COLLECTION) require -- from COLLECTION prunable ensure -- from COLLECTION no_more_occurrences: not has (v) remove -- Remove current item. require -- from TRAVERSABLE_SUBSET not_off: not off wipe_out -- Remove all items. require -- from COLLECTION prunable ensure -- from COLLECTION wiped_out: is_empty feature -- Conversion linear_representation: LINEAR [G] -- Representation as a linear structure -- (from LINEAR) feature -- Duplication duplicate (n: INTEGER): BINARY_SEARCH_TREE_SET [G] -- New structure containing min (n, count) -- items from current structure require -- from SUBSET non_negative: n >= 0 ensure -- from SUBSET correct_count_1: n <= count implies Result.count = n correct_count_2: n >= count implies Result.count = count feature -- Basic operations intersect (other: TRAVERSABLE_SUBSET [G]) -- 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 ensure -- from SUBSET is_subset_other: is_subset (other) subtract (other: TRAVERSABLE_SUBSET [G]) -- Remove all items also in other. -- (from TRAVERSABLE_SUBSET) require -- from SUBSET set_exists: other /= void same_rule: object_comparison = other.object_comparison ensure -- from SUBSET is_disjoint: disjoint (other) symdif (other: TRAVERSABLE_SUBSET [G]) -- 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 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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