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indexing description: "Trees, without commitment to a particular representation" status: "See notice at end of class" names: tree access: cursor, membership representation: recursive contents: generic date: "$Date: 2001-11-16 20:32:23 +0000 (Fri, 16 Nov 2001) $" revision: "$Revision: 51435 $" deferred class TREE [G] inherit CONTAINER [G] redefine is_equal end feature -- Access parent: TREE [G] -- Parent of current node child: like parent is -- Current child node require readable: readable_child deferred end item: G is -- Item in current node deferred end child_item: like item is -- Item in current child node require readable: child_readable do Result := child.item end child_cursor: CURSOR is -- Current cursor position deferred end child_index: INTEGER is -- Index of current child deferred ensure valid_index: Result >= 0 and Result <= arity + 1 end first_child: like parent is -- Leftmost child require is_not_leaf: not is_leaf deferred end last_child: like first_child is -- Right most child require is_not_leaf: not is_leaf deferred end left_sibling: like parent is -- Left neighbor (if any) require is_not_root: not is_root deferred ensure is_sibling: Result /= void implies is_sibling (Result) right_is_current: (Result /= void) implies (Result.right_sibling = Current) end right_sibling: like parent is -- Right neighbor (if any) require is_not_root: not is_root deferred ensure is_sibling: Result /= void implies is_sibling (Result) left_is_current: (Result /= void) implies (Result.left_sibling = Current) end feature -- Measurement arity: INTEGER is -- Number of children deferred end child_capacity: INTEGER is -- Maximal number of children do Result := arity end count: INTEGER is -- Number of items do Result := subtree_count + 1 end feature -- Comparison is_equal (other: like Current): BOOLEAN is -- Does other contain the same elements? -- (Reference or object equality, -- based on object_comparison.) do if Current = other then Result := True else Result := (is_empty = other.is_empty) and (object_comparison = other.object_comparison) and (child_capacity = other.child_capacity) if Result and not is_empty then Result := tree_is_equal (Current, other) end end end feature -- Status report Readable: BOOLEAN is True child_readable: BOOLEAN is -- Is there a current child_item to be read? do Result := not child_off and then (child /= void) end readable_child: BOOLEAN is -- Is there a current child to be read? do Result := not child_off end Writable: BOOLEAN is True -- Is there a current item that may be modified? child_writable: BOOLEAN is -- Is there a current child_item that may be modified? do Result := not child_off and then (child /= void) end writable_child: BOOLEAN is -- Is there a current child that may be modified? do Result := not child_off end child_off: BOOLEAN is -- Is there no current child? do Result := child_before or child_after end child_before: BOOLEAN is -- Is there no valid child position to the left of cursor? do Result := child_index = 0 end child_after: BOOLEAN is -- Is there no valid child position to the right of cursor? do Result := child_index = child_capacity + 1 end is_empty: BOOLEAN is -- Is structure empty of items? do Result := False end is_leaf: BOOLEAN is -- Are there no children? do Result := arity = 0 end is_root: BOOLEAN is -- Is there no parent? do Result := parent = void end child_isfirst: BOOLEAN is -- Is cursor under first child? do Result := not is_leaf and child_index = 1 ensure not_is_leaf: Result implies not is_leaf end child_islast: BOOLEAN is -- Is cursor under last child? do Result := not is_leaf and child_index = child_capacity ensure not_is_leaf: Result implies not is_leaf end valid_cursor_index (i: INTEGER): BOOLEAN is -- Is i correctly bounded for cursor movement? do Result := (i >= 0) and (i <= child_capacity + 1) ensure valid_cursor_index_definition: Result = (i >= 0) and (i <= child_capacity + 1) end has (v: G): BOOLEAN is -- Does subtree include v? -- (Reference or object equality, -- based on object_comparison.) do if object_comparison then Result := (v /= void) and then (item /= void) and then (v.is_equal (item) or else subtree_has (v)) else Result := v = item or else subtree_has (v) end end is_sibling (other: like parent): BOOLEAN is -- Are current node and other siblings? require other_exists: other /= void do Result := not is_root and other.parent = parent ensure not_root: Result implies not is_root other_not_root: Result implies not other.is_root same_parent: Result = not is_root and other.parent = parent end feature -- Cursor movement child_go_to (p: CURSOR) is -- Move cursor to position p. deferred end child_start is -- Move cursor to first child. deferred ensure then is_first_child: not is_leaf implies child_isfirst end child_finish is -- Move cursor to last child. deferred ensure then is_last_child: not is_leaf implies child_islast end child_forth is -- Move cursor to next child. deferred end child_back is -- Move cursor to previous child. deferred end child_go_i_th (i: INTEGER) is -- Move cursor to i-th child. require else valid_cursor_index: valid_cursor_index (i) deferred ensure then position: child_index = i end feature -- Element change sprout is -- Make current node a root. do if parent /= void then parent.prune (Current) end end put (v: like item) is -- Replace element at cursor position by v. -- Was declared in TREE as synonym of replace. require is_writable: writable deferred ensure item_inserted: item = v end replace (v: like item) is -- Replace element at cursor position by v. -- Was declared in TREE as synonym of put. require is_writable: writable deferred ensure item_inserted: item = v end child_put (v: like item) is -- Put v at current child position. -- Was declared in TREE as synonym of child_replace. require child_writable: child_writable deferred ensure item_inserted: child_item = v end child_replace (v: like item) is -- Put v at current child position. -- Was declared in TREE as synonym of child_put. require child_writable: child_writable deferred ensure item_inserted: child_item = v end replace_child (n: like parent) is -- Put n at current child position. require writable_child: writable_child was_root: n.is_root deferred ensure child_replaced: child = n end prune (n: like parent) is -- Remove n from the children. require is_child: n.parent = Current deferred ensure n_is_root: n.is_root end fill (other: TREE [G]) is -- Fill with as many items of other as possible. -- The representations of other and current node -- need not be the same. do replace (other.item) fill_subtree (other) end feature -- Conversion linear_representation: LINEAR [G] is -- Representation as a linear structure local al: ARRAYED_LIST [G] do create al.make (count) al.start al.extend (item) fill_list (al) Result := al end binary_representation: BINARY_TREE [G] is -- Convert to binary tree representation: -- first child becomes left child, -- right sibling becomes right child. local current_sibling: BINARY_TREE [G] do create Result.make (item) if not is_leaf then Result.put_left_child (first_child.binary_representation) from child_start child_forth current_sibling := Result.left_child until child_after loop current_sibling.put_right_child (child.binary_representation) current_sibling := current_sibling.right_child child_forth end end ensure result_is_root: Result.is_root result_has_no_right_child: not Result.has_right end feature -- Duplication duplicate (n: INTEGER): like Current is -- Copy of sub-tree beginning at cursor position and -- having min (n, arity - child_index + 1) -- children. require not_child_off: not child_off valid_sublist: n >= 0 deferred end feature {TREE} -- Implementation subtree_has (v: G): BOOLEAN is -- Do children include v? -- (Reference or object equality, -- based on object_comparison.) local cursor: CURSOR do cursor := child_cursor from child_start until child_off or else Result loop if child /= void then if object_comparison then Result := (v /= void) and then (child_item /= void) and then v.is_equal (child_item) else Result := v = child_item end end child_forth end from child_start until child_off or else Result loop if child /= void then Result := child.subtree_has (v) end child_forth end child_go_to (cursor) end subtree_count: INTEGER is -- Number of items in children local pos: CURSOR do Result := arity from pos := child_cursor child_start until child_off loop if child /= void then Result := Result + child.subtree_count end child_forth end child_go_to (pos) end fill_list (al: ARRAYED_LIST [G]) is -- Fill al with all the children's items. do from child_start until child_off loop if child /= void then al.extend (child_item) child.fill_list (al) end child_forth end end attach_to_parent (n: like parent) is -- Make n parent of current node. do parent := n ensure new_parent: parent = n end fill_subtree (s: TREE [G]) is -- Fill children with children of other. deferred end feature {NONE} -- Implementation remove is -- Remove current item do end child_remove is -- Remove item of current child do end tree_is_equal (t1, t2: like Current): BOOLEAN is -- Are t1 and t2 recursively equal? require trees_exist: t1 /= void and t2 /= void trees_not_empty: not t1.is_empty and not t2.is_empty same_rule: t1.object_comparison = t2.object_comparison local i: INTEGER p1, p2: like Current t1_stack, t2_stack: LINKED_STACK [like Current] idx_stack, orgidx1_stack, orgidx2_stack: LINKED_STACK [INTEGER] do if t1.is_leaf and t2.is_leaf then if t1.object_comparison then Result := equal (t1.item, t2.item) else Result := (t1.item = t2.item) end elseif t1.is_leaf xor t2.is_leaf then Result := False else create t1_stack.make create t2_stack.make create idx_stack.make create orgidx1_stack.make create orgidx2_stack.make orgidx1_stack.put (t1.child_index) orgidx2_stack.put (t2.child_index) from Result := True i := 1 p1 := t1 p2 := t2 invariant same_count: t1_stack.count = t2_stack.count and t2_stack.count = idx_stack.count until not Result or else (i > p1.child_capacity and t1_stack.is_empty) loop check p1_not_void: p1 /= void p2_not_void: p2 /= void end p1.child_go_i_th (i) p2.child_go_i_th (i) if p1.child_readable and p2.child_readable and p1.child_capacity = p2.child_capacity then check p1_consistent: p1.child.parent = p1 p2_consistent: p2.child.parent = p2 end if t1.object_comparison then Result := equal (p1.item, p2.item) else Result := (p1.item = p2.item) end if not (p1.child.is_leaf or p2.child.is_leaf) then t1_stack.put (p1) t2_stack.put (p2) idx_stack.put (i + 1) p1 := p1.child p2 := p2.child orgidx1_stack.put (p1.child_index) orgidx2_stack.put (p2.child_index) i := 0 elseif p1.child.is_leaf xor p2.child.is_leaf then Result := False end elseif p1.child_capacity /= p2.child_capacity or else (p1.child_readable xor p2.child_readable) then Result := False end if i <= p1.child_capacity then i := i + 1 else from invariant same_count: t1_stack.count = t2_stack.count and t2_stack.count = idx_stack.count until t1_stack.is_empty or else i <= p1.child_capacity loop p1.child_go_i_th (orgidx1_stack.item) p2.child_go_i_th (orgidx2_stack.item) p1 := t1_stack.item p2 := t2_stack.item i := idx_stack.item t1_stack.remove t2_stack.remove idx_stack.remove orgidx1_stack.remove orgidx2_stack.remove end end end if not Result then from invariant same_count: t1_stack.count = t2_stack.count and orgidx1_stack.count = orgidx2_stack.count until orgidx1_stack.count = 1 loop p1.child_go_i_th (orgidx1_stack.item) p2.child_go_i_th (orgidx2_stack.item) p1 := t1_stack.item p2 := t2_stack.item check p1_not_void: p1 /= void p2_not_void: p2 /= void end t1_stack.remove t2_stack.remove orgidx1_stack.remove orgidx2_stack.remove end check tree_stacks_empty: t1_stack.is_empty and t2_stack.is_empty at_root: p1 = t1 and p2 = t2 p1_not_void: p1 /= void p2_not_void: p2 /= void end p1.child_go_i_th (orgidx1_stack.item) p2.child_go_i_th (orgidx2_stack.item) orgidx1_stack.remove orgidx2_stack.remove check index_stacks_empty: orgidx1_stack.is_empty and orgidx2_stack.is_empty end end end end tree_copy (other, tmp_tree: like Current) is -- Generic implementation of copy. other is copied onto -- Current. tmp_tree is used as temporary storage during -- copying. Since it cannot be created locally because of the -- generic implementation, it has to be passed in. require other_not_empty: other /= void and then not other.is_empty other_not_leaf: not other.is_leaf tmp_tree_exists: tmp_tree /= void same_rule: object_comparison = other.object_comparison local i: INTEGER p1, p2: like Current other_stack, tmp_stack: LINKED_STACK [like Current] idx_stack, orgidx_stack: LINKED_STACK [INTEGER] do create other_stack.make create tmp_stack.make create idx_stack.make create orgidx_stack.make if other.object_comparison then tmp_tree.compare_objects end orgidx_stack.put (other.child_index) from i := 1 p1 := other p2 := tmp_tree invariant same_count: other_stack.count = tmp_stack.count and tmp_stack.count = idx_stack.count until i > p1.child_capacity and other_stack.is_empty loop p1.child_go_i_th (i) p2.child_go_i_th (i) if p1.child_readable then check source_tree_not_void: p1 /= void target_tree_not_void: p2 /= void source_child_not_void: p1.child /= void target_child_void: p2.child = void end p2.replace_child (clone (p1.child)) if other_stack.is_empty then p2.child.attach_to_parent (Current) end check comparison_mode_ok: p2.child.object_comparison = p1.child.object_comparison p1_consistent: p1.child.parent = p1 p2_consistent: p2.child.parent = p2 end if not p1.child.is_leaf then other_stack.put (p1) tmp_stack.put (p2) idx_stack.put (i + 1) p1 := p1.child p2 := p2.child orgidx_stack.put (p1.child_index) i := 0 end end if i <= p1.child_capacity then i := i + 1 else from invariant same_count: other_stack.count = tmp_stack.count and tmp_stack.count = idx_stack.count until other_stack.is_empty or else i <= p1.child_capacity loop p1.child_go_i_th (orgidx_stack.item) p1 := other_stack.item p2 := tmp_stack.item check p1_not_void: p1 /= void p2_not_void: p2 /= void end i := idx_stack.item other_stack.remove tmp_stack.remove idx_stack.remove orgidx_stack.remove end end end check tree_stacks_empty: other_stack.is_empty and tmp_stack.is_empty at_root: p1 = other and p2 = tmp_tree end standard_copy (tmp_tree) child_go_i_th (orgidx_stack.item) orgidx_stack.remove check index_stack_empty: orgidx_stack.is_empty end end invariant leaf_definition: is_leaf = (arity = 0) child_off_definition: child_off = child_before or child_after child_before_definition: child_before = (child_index = 0) child_isfirst_definition: child_isfirst = (not is_leaf and child_index = 1) child_islast_definition: child_islast = (not is_leaf and child_index = child_capacity) child_after_definition: child_after = (child_index >= child_capacity + 1) child_consistency: child_readable implies child.parent = Current 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 TREE
Classes Clusters Cluster hierarchy Chart Relations Text Flat Contracts Flat contracts Go to:

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