indexing
description: "Sets implemented by linked lists"
legal: "See notice at end of class."
status: "See notice at end of class."
names: linked_set, set, linked_list
representation: linked
access: membership
contents: generic
date: "$Date: 2007-01-14 01:47:13 -0800 (Sun, 14 Jan 2007) $"
revision: "$Revision: 55 $"
class interface
LINKED_SET [G]
create
make
LINKED_LIST
ensure LINKED_LIST
is_before: before
feature
cursor: LINKED_LIST_CURSOR [G]
LINKED_LIST
ensure CURSOR_STRUCTURE
cursor_not_void: Result /= Void
first: like item
LINKED_LIST
require CHAIN
not_empty: not is_empty
generating_type: STRING_8
ANY
ensure ANY
generating_type_not_void: Result /= Void
generating_type_not_empty: not Result.is_empty
generator: STRING_8
ANY
ensure ANY
generator_not_void: Result /= Void
generator_not_empty: not Result.is_empty
has (v: like item): BOOLEAN
`v'
object_comparison
CHAIN
require CONTAINER
True
ensure CONTAINER
not_found_in_empty: Result implies not is_empty
i_th alias "[]" (i: INTEGER_32): like item assign put_i_th
`i'
CHAINinfix "@"
CHAIN
require TABLE
valid_key: valid_index (i)
index: INTEGER_32
LINKED_LIST
require LINEAR
True
require LINEAR_SUBSET
True
index_of (v: like item; i: INTEGER_32): INTEGER_32
`i'`v'
object_comparison
CHAIN
require LINEAR
positive_occurrences: i > 0
ensure LINEAR
non_negative_result: Result >= 0
item: G
LINKED_LIST
require TRAVERSABLE
not_off: not off
require ACTIVE
readable: readable
require TRAVERSABLE_SUBSET
not_off: not off
item_for_iteration: G
LINEAR
require LINEAR
not_off: not off
last: like item
LINKED_LIST
require CHAIN
not_empty: not is_empty
sequential_occurrences (v: like item): INTEGER_32
`v'
object_comparison
LINEAR
require BAG
True
ensure BAG
non_negative_occurrences: Result >= 0
infix "@" (i: INTEGER_32): like item assign put_i_th
`i'
CHAINi_th
CHAIN
require TABLE
valid_key: valid_index (i)
feature
count: INTEGER_32
LINKED_LIST
index_set: INTEGER_INTERVAL
CHAIN
require INDEXABLE
True
ensure INDEXABLE
not_void: Result /= Void
ensure then CHAIN
count_definition: Result.count = count
occurrences (v: like item): INTEGER_32
`v'
object_comparison
CHAIN
require BAG
True
require LINEAR
True
ensure BAG
non_negative_occurrences: Result >= 0
feature
frozen deep_equal (some: ?ANY; other: like arg #1): BOOLEAN
`some'`other'
ANY
ensure ANY
shallow_implies_deep: standard_equal (some, other) implies Result
both_or_none_void: (some = Void) implies (Result = (other = Void))
same_type: (Result and (some /= Void)) implies (other /= Void and then some.same_type (other))
symmetric: Result implies deep_equal (other, some)
disjoint (other: TRAVERSABLE_SUBSET [G]): BOOLEAN
`other'
TRAVERSABLE_SUBSET
require SUBSET
set_exists: other /= Void
same_rule: object_comparison = other.object_comparison
frozen equal (some: ?ANY; other: like arg #1): BOOLEAN
`some'`other'
ANY
ensure ANY
definition: Result = (some = Void and other = Void) or else ((some /= Void and other /= Void) and then some.is_equal (other))
frozen is_deep_equal (other: LINKED_SET [G]): BOOLEAN
`Current'`other'
ANY
require ANY
other_not_void: other /= Void
ensure ANY
shallow_implies_deep: standard_is_equal (other) implies Result
same_type: Result implies same_type (other)
symmetric: Result implies other.is_deep_equal (Current)
is_equal (other: LINKED_SET [G]): BOOLEAN
`other'
LIST
require ANY
other_not_void: other /= Void
ensure ANY
symmetric: Result implies other.is_equal (Current)
consistent: standard_is_equal (other) implies Result
ensure then LIST
indices_unchanged: index = old index and other.index = old other.index
true_implies_same_size: Result implies count = other.count
is_subset (other: TRAVERSABLE_SUBSET [G]): BOOLEAN
`other'
TRAVERSABLE_SUBSET
require SUBSET
set_exists: other /= Void
same_rule: object_comparison = other.object_comparison
is_superset (other: SUBSET [G]): BOOLEAN
`other'
SUBSET
require SUBSET
set_exists: other /= Void
same_rule: object_comparison = other.object_comparison
frozen standard_equal (some: ?ANY; other: like arg #1): BOOLEAN
`some'`other'
ANY
ensure ANY
definition: Result = (some = Void and other = Void) or else ((some /= Void and other /= Void) and then some.standard_is_equal (other))
frozen standard_is_equal (other: LINKED_SET [G]): BOOLEAN
`other'
ANY
require ANY
other_not_void: other /= Void
ensure ANY
same_type: Result implies same_type (other)
symmetric: Result implies other.standard_is_equal (Current)
feature
after: BOOLEAN
LINKED_LIST
before: BOOLEAN
LINKED_LIST
conforms_to (other: ANY): BOOLEAN
`other'
ANY
require ANY
other_not_void: other /= Void
exhausted: BOOLEAN
LINEAR
ensure LINEAR
exhausted_when_off: off implies Result
extendible: BOOLEAN is True
DYNAMIC_CHAIN
full: BOOLEAN is False
LINKED_LIST
is_empty: BOOLEAN
FINITE
require CONTAINER
True
is_inserted (v: G): BOOLEAN
`v'
`has (v)'
COLLECTION
isfirst: BOOLEAN
LINKED_LIST
ensure CHAIN
valid_position: Result implies not is_empty
islast: BOOLEAN
LINKED_LIST
require CHAIN
True
require LINEAR_SUBSET
True
ensure CHAIN
valid_position: Result implies not is_empty
object_comparison: BOOLEAN
equal`='
`='
CONTAINER
off: BOOLEAN
LINKED_LIST
require TRAVERSABLE
True
require TRAVERSABLE_SUBSET
True
prunable: BOOLEAN
DYNAMIC_CHAIN
require COLLECTION
True
readable: BOOLEAN
LINKED_LIST
require ACTIVE
True
same_type (other: ANY): BOOLEAN
`other'
ANY
require ANY
other_not_void: other /= Void
ensure ANY
definition: Result = (conforms_to (other) and other.conforms_to (Current))
valid_cursor (p: CURSOR): BOOLEAN
`p'
LINKED_LIST
valid_cursor_index (i: INTEGER_32): BOOLEAN
`i'
CHAIN
ensure CHAIN
valid_cursor_index_definition: Result = ((i >= 0) and (i <= count + 1))
valid_index (i: INTEGER_32): BOOLEAN
`i'
CHAIN
require TABLE
True
require LINEAR_SUBSET
True
ensure then INDEXABLE
only_if_in_index_set: Result implies ((i >= index_set.lower) and (i <= index_set.upper))
ensure LINEAR_SUBSET
index_valid: 0 <= i and i <= count + 1
ensure then CHAIN
valid_index_definition: Result = ((i >= 1) and (i <= count))
writable: BOOLEAN
SEQUENCE
require ACTIVE
True
feature
compare_objects
equal
`='
CONTAINER
require CONTAINER
changeable_comparison_criterion: changeable_comparison_criterion
ensure CONTAINER
object_comparison
compare_references
`='
equal
CONTAINER
require CONTAINER
changeable_comparison_criterion: changeable_comparison_criterion
ensure CONTAINER
reference_comparison: not object_comparison
feature
back
LINKED_LIST
require BILINEAR
not_before: not before
finish
LINKED_LIST
require LINEAR
True
ensure then CHAIN
at_last: not is_empty implies islast
ensure then LINKED_LIST
empty_convention: is_empty implies before
forth
LINKED_LIST
require LINEAR
not_after: not after
require TRAVERSABLE_SUBSET
not_after: not after
ensure then LIST
moved_forth: index = old index + 1
go_i_th (i: INTEGER_32)
`i'
LINKED_LIST
require CHAIN
valid_cursor_index: valid_cursor_index (i)
require LINEAR_SUBSET
valid_index: valid_index (i)
ensure CHAIN
position_expected: index = i
ensure LINEAR_SUBSET
cursor_moved: index = i
go_to (p: CURSOR)
`p'
LINKED_LIST
require CURSOR_STRUCTURE
cursor_position_valid: valid_cursor (p)
move (i: INTEGER_32)
`i'
off
LINKED_LIST
require CHAIN
True
ensure CHAIN
too_far_right: (old index + i > count) implies exhausted
too_far_left: (old index + i < 1) implies exhausted
expected_index: (not exhausted) implies (index = old index + i)
ensure then LINKED_LIST
moved_if_inbounds: ((old index + i) >= 0 and (old index + i) <= (count + 1)) implies index = (old index + i)
before_set: (old index + i) <= 0 implies before
after_set: (old index + i) >= (count + 1) implies after
search (v: like item)
item`v'
`v'
exhausted
object_comparison
BILINEAR
ensure LINEAR
object_found: (not exhausted and object_comparison) implies equal (v, item)
item_found: (not exhausted and not object_comparison) implies v = item
start
LINKED_LIST
require TRAVERSABLE
True
require TRAVERSABLE_SUBSET
True
ensure then CHAIN
at_first: not is_empty implies isfirst
ensure then LINKED_LIST
empty_convention: is_empty implies after
feature
append (s: SEQUENCE [G])
`s'
CHAIN
require SEQUENCE
argument_not_void: s /= Void
ensure SEQUENCE
new_count: count >= old count
extend (v: G)
`v'
LINKED_SETput
require COLLECTION
extendible: extendible
ensure COLLECTION
item_inserted: is_inserted (v)
ensure then 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])
`other'
`other'
CHAIN
require COLLECTION
other_not_void: other /= Void
extendible: extendible
force (v: like item)
`v'
SEQUENCE
require SEQUENCE
extendible: extendible
ensure then SEQUENCE
new_count: count = old count + 1
item_inserted: has (v)
merge (other: CONTAINER [G])
`other'
TRAVERSABLE_SUBSET
require SUBSET
set_exists: other /= Void
same_rule: object_comparison = other.object_comparison
merge_left (other: LINKED_SET [G])
`other'
`other'
LINKED_LIST
require DYNAMIC_CHAIN
extendible: extendible
not_before: not before
other_exists: other /= Void
not_current: other /= Current
ensure DYNAMIC_CHAIN
new_count: count = old count + old other.count
new_index: index = old index + old other.count
other_is_empty: other.is_empty
merge_right (other: LINKED_SET [G])
`other'
`other'
LINKED_LIST
require DYNAMIC_CHAIN
extendible: extendible
not_after: not after
other_exists: other /= Void
not_current: other /= Current
ensure DYNAMIC_CHAIN
new_count: count = old count + old other.count
same_index: index = old index
other_is_empty: other.is_empty
move_item (v: G)
`v'
LINEAR_SUBSET
require LINEAR_SUBSET
item_exists: v /= Void
item_in_set: has (v)
put (v: G)
`v'
LINKED_SETextend
require COLLECTION
extendible: extendible
ensure COLLECTION
item_inserted: is_inserted (v)
ensure then SET
in_set_already: old has (v) implies (count = old count)
added_to_set: not old has (v) implies (count = old count + 1)
put_front (v: like item)
`v'
LINKED_LIST
ensure DYNAMIC_CHAIN
new_count: count = old count + 1
item_inserted: first = v
put_i_th (v: like item; i: INTEGER_32)
`v'`i'
CHAIN
require TABLE
valid_key: valid_index (i)
ensure then INDEXABLE
insertion_done: i_th (i) = v
put_left (v: like item)
`v'
LINKED_LIST
require DYNAMIC_CHAIN
extendible: extendible
not_before: not before
require LINEAR_SUBSET
item_exists: v /= Void
not_before: not before
ensure DYNAMIC_CHAIN
new_count: count = old count + 1
new_index: index = old index + 1
ensure LINEAR_SUBSET
cursor_position_unchanged: index = old index + 1
ensure then LINKED_LIST
previous_exists: previous /= Void
item_inserted: {q: like previous} previous and then q.item = v
put_right (v: like item)
`v'
LINKED_LIST
require DYNAMIC_CHAIN
extendible: extendible
not_after: not after
ensure DYNAMIC_CHAIN
new_count: count = old count + 1
same_index: index = old index
ensure then LINKED_LIST
next_exists: next /= Void
item_inserted: not old before implies ({n: like next} next and then n.item = v)
item_inserted_before: old before implies ({c: like active} active and then c.item = v)
replace (v: like item)
`v'
LINKED_LIST