indexing
	description: "Deterministic finite automata"
	status: "See notice at end of class"
	date: "$Date$"
	revision: "$Revision$"

class interface
	FIXED_DFA

create 

	make (i, s: INTEGER)
			-- Make a dfa with 0 to i possible inputs
			-- and s possible states.

feature -- Initialization

	make (i, s: INTEGER)
			-- Make a dfa with 0 to i possible inputs
			-- and s possible states.

	fixed_make (i, s: INTEGER)
			-- Make an automaton including at most s states,
			-- with transitions 0 to i.
			-- (from FIXED_AUTOMATON)
		require -- from FIXED_AUTOMATON
			s_large_enough: s > 0
			i_large_enough: i >= 0

	array_make (min_index, max_index: INTEGER)
			-- Allocate array; set index interval to
			-- min_index .. max_index; set all values to default.
			-- (Make array empty if min_index = max_index + 1).
			-- (from ARRAY)
		require -- from ARRAY
			valid_bounds: min_index <= max_index + 1
		ensure -- from ARRAY
			lower_set: lower = min_index
			upper_set: upper = max_index
			items_set: all_default

	make_from_array (a: ARRAY [STATE_OF_DFA])
			-- Initialize from the items of a.
			-- (Useful in proper descendants of class ARRAY,
			-- to initialize an array-like object from a manifest array.)
			-- (from ARRAY)
		require -- from ARRAY
			array_exists: a /= void
	
feature -- Access

	area: SPECIAL [STATE_OF_DFA]
			-- Special data zone
			-- (from TO_SPECIAL)

	entry (i: INTEGER): STATE_OF_DFA
			-- Entry at index i, if in index interval
			-- (from ARRAY)
		require -- from ARRAY
			valid_key: valid_index (i)

	find_successor (source, input_doc: INTEGER): STATE_OF_DFA
			-- Successor of source on input_doc;
			-- void if no successor
		require -- from  DFA
			True
		require else
			source_in_automaton: source >= 1 and source <= nb_states
			possible_input_doc: input_doc >= 0 and input_doc <= greatest_input

	greatest_input: INTEGER
			-- Greatest input used for the transitions from state
			-- to state (the smallest one is zero)
			-- (from AUTOMATON)

	has (v: STATE_OF_DFA): BOOLEAN
			-- Does v appear in array?
			-- (Reference or object equality,
			-- based on object_comparison.)
			-- (from ARRAY)
		ensure -- from CONTAINER
			not_found_in_empty: Result implies not is_empty

	possible_tokens (l: LINKED_LIST [INTEGER]): ARRAY [INTEGER]
			-- Attribute `final_array' of the state reached in Current after
			-- making transitions from state to state on the
			-- inputs listed in l; empty if not recognized
			-- (from DFA)

	recognize (l: LINKED_LIST [INTEGER]): INTEGER
			-- final value for the state reached after
			-- making transitions from state to state on the
			-- inputs listed in l; 0 if not recognized.
			-- (from DFA)

	start_number: INTEGER
			-- Unique start state used for the beginning of
			-- the automaton's operation
			-- (from AUTOMATON)

	infix "@" (i: INTEGER): STATE_OF_DFA
			-- Entry at index i, if in index interval
			-- Was declared in ARRAY as synonym of item.
			-- (from ARRAY)
		require -- from TABLE
			valid_key: valid_index (k)
	
feature  -- Access

	item (i: INTEGER): STATE_OF_DFA
			-- Entry at index i, if in index interval
			-- Was declared in ARRAY as synonym of @.
			-- (from ARRAY)
		require -- from TABLE
			valid_key: valid_index (k)

	last_position: INTEGER
			-- Position of last state inserted
			-- (from FIXED_AUTOMATON)
	
feature -- Measurement

	additional_space: INTEGER
			-- Proposed number of additional items
			-- (from RESIZABLE)
		ensure -- from RESIZABLE
			at_least_one: Result >= 1

	capacity: INTEGER
			-- Number of available indices
			-- Was declared in ARRAY as synonym of count.
			-- (from ARRAY)
		ensure then -- from ARRAY
			consistent_with_bounds: Result = upper - lower + 1

	count: INTEGER
			-- Number of available indices
			-- Was declared in ARRAY as synonym of capacity.
			-- (from ARRAY)
		ensure then -- from ARRAY
			consistent_with_bounds: Result = upper - lower + 1

	Growth_percentage: INTEGER is 50
			-- Percentage by which structure will grow automatically
			-- (from RESIZABLE)

	index_set: INTEGER_INTERVAL
			-- Range of acceptable indexes
			-- (from ARRAY)
		ensure -- from INDEXABLE
			not_void: Result /= void
		ensure then -- from ARRAY
			same_count: Result.count = count
			same_bounds: ((Result.lower = lower) and (Result.upper = upper))

	Minimal_increase: INTEGER is 5
			-- Minimal number of additional items
			-- (from RESIZABLE)

	nb_states: INTEGER
			-- Number of states in the automaton
			-- (from AUTOMATON)

	occurrences (v: STATE_OF_DFA): INTEGER
			-- Number of times v appears in structure
			-- (from ARRAY)
		ensure -- from BAG
			non_negative_occurrences: Result >= 0
	
feature  -- Measurement

	lower: INTEGER
			-- Minimum index
			-- (from ARRAY)
	
feature  -- Measurement

	upper: INTEGER
			-- Maximum index
			-- (from ARRAY)
	
feature -- Comparison

	is_equal (other: like Current): BOOLEAN
			-- Is array made of the same items as other?
			-- (from ARRAY)
		require -- from ANY
			other_not_void: other /= void
		ensure -- from ANY
			symmetric: Result implies other.is_equal (Current)
			consistent: standard_is_equal (other) implies Result
	
feature -- Status report

	all_default: BOOLEAN
			-- Are all items set to default values?
			-- (from ARRAY)
		ensure -- from ARRAY
			definition: Result = (count = 0 or else ((item (upper) = void or else item (upper) = item (upper).default) and subarray (lower, upper - 1).all_default))

	changeable_comparison_criterion: BOOLEAN
			-- May object_comparison be changed?
			-- (Answer: yes by default.)
			-- (from CONTAINER)

	extendible: BOOLEAN
			-- May items be added?
			-- (Answer: no, although array may be resized.)
			-- (from ARRAY)

	full: BOOLEAN
			-- Is structure filled to capacity? (Answer: yes)
			-- (from ARRAY)

	is_empty: BOOLEAN
			-- Is structure empty?
			-- (from FINITE)

	is_inserted (v: STATE_OF_DFA): 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)

	prunable: BOOLEAN
			-- May items be removed? (Answer: no.)
			-- (from ARRAY)

	resizable: BOOLEAN
			-- May capacity be changed? (Answer: yes.)
			-- (from RESIZABLE)

	same_items (other: like Current): BOOLEAN
			-- Do other and Current have same items?
			-- (from ARRAY)
		require -- from ARRAY
			other_not_void: other /= void
		ensure -- from ARRAY
			definition: Result = ((count = other.count) and then (count = 0 or else (item (upper) = other.item (other.upper) and subarray (lower, upper - 1).same_items (other.subarray (other.lower, other.upper - 1)))))

	valid_index (i: INTEGER): BOOLEAN
			-- Is i within the bounds of the array?
			-- (from ARRAY)
		ensure then -- from INDEXABLE
			only_if_in_index_set: Result implies ((i >= index_set.lower) and (i <= index_set.upper))

	valid_index_set: BOOLEAN
			-- (from ARRAY)
	
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

	f_set_final (state, f: INTEGER)
			-- Make state final for regular expression f.
			-- (from FIXED_AUTOMATON)
		require -- from FIXED_AUTOMATON
			is_in_automaton: state <= upper and state >= lower

	set_final (state, f: INTEGER)
			-- Make state final for regular expression f.

	set_start (n: INTEGER)
			-- Select state n as the starting state.
			-- (from AUTOMATON)
		require -- from AUTOMATON
			no_other_start: start_number = 0 or start_number = n
			is_in_automaton: n <= nb_states and n >= 1

	set_state
			-- Make a new state.

	set_transition (source, input_doc, target: INTEGER)
			-- Set transition from source to target on input_doc.
		require -- from  AUTOMATON
			True
		require else -- from DFA
			source_in_automaton: source >= 1 and source <= nb_states
			target_in_automaton: target >= 1 and target <= nb_states
			possible_input_doc: input_doc >= 0 and input_doc <= greatest_input
		require else
			source_in_automaton: source >= 1 and source <= nb_states
			target_in_automaton: target >= 1 and target <= nb_states
			possible_input_doc: input_doc >= 0 and input_doc <= greatest_input
	
feature  -- Element change

	add_right (s: STATE_OF_DFA)
			-- Assign s to the first possible item.
			-- (from FIXED_AUTOMATON)
		require -- from FIXED_AUTOMATON
			not_full: last_position < count

	put (v: like item; i: INTEGER)
			-- Replace i-th entry, if in index interval, by v.
			-- (from ARRAY)
		require -- from TABLE
			valid_key: valid_index (k)
		ensure then -- from INDEXABLE
			insertion_done: item (k) = v
	
feature -- Element change

	enter (v: like item; i: INTEGER)
			-- Replace i-th entry, if in index interval, by v.
			-- (from ARRAY)
		require -- from ARRAY
			valid_key: valid_index (i)

	fill (other: CONTAINER [STATE_OF_DFA])
			-- 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

	force (v: like item; i: INTEGER)
			-- Assign item v to i-th entry.
			-- Always applicable: resize the array if i falls out of
			-- currently defined bounds; preserve existing items.
			-- (from ARRAY)
		ensure -- from ARRAY
			inserted: item (i) = v
			higher_count: count >= old count

	subcopy (other: like Current; start_pos, end_pos, index_pos: INTEGER)
			-- Copy items of other within bounds start_pos and end_pos
			-- to current array starting at index index_pos.
			-- (from ARRAY)
		require -- from ARRAY
			other_not_void: other /= void
			valid_start_pos: other.valid_index (start_pos)
			valid_end_pos: other.valid_index (end_pos)
			valid_bounds: (start_pos <= end_pos) or (start_pos = end_pos + 1)
			valid_index_pos: valid_index (index_pos)
			enough_space: (upper - index_pos) >= (end_pos - start_pos)
	
feature -- Removal

	clear_all
			-- Reset all items to default values.
			-- (from ARRAY)
		ensure -- from ARRAY
			stable_lower: lower = old lower
			stable_upper: upper = old upper
			default_items: all_default

	discard_items
			-- Reset all items to default values with reallocation.
			-- (from ARRAY)
		ensure -- from ARRAY
			default_items: all_default

	prune_all (v: STATE_OF_DFA)
			-- 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)
	
feature -- Resizing

	automatic_grow
			-- Change the capacity to accommodate at least
			-- Growth_percentage more items.
			-- (from RESIZABLE)
		ensure -- from RESIZABLE
			increased_capacity: capacity >= old capacity + old capacity * growth_percentage // 100

	grow (i: INTEGER)
			-- Change the capacity to at least i.
			-- (from ARRAY)
		ensure -- from RESIZABLE
			new_capacity: capacity >= i

	resize (min_index, max_index: INTEGER)
			-- Rearrange array so that it can accommodate
			-- indices down to min_index and up to max_index.
			-- Do not lose any previously entered item.
			-- (from ARRAY)
		require -- from ARRAY
			good_indices: min_index <= max_index
		ensure -- from ARRAY
			no_low_lost: lower = min_index or else lower = old lower
			no_high_lost: upper = max_index or else upper = old upper
	
feature -- Conversion

	linear_representation: LINEAR [STATE_OF_DFA]
			-- Representation as a linear structure
			-- (from ARRAY)

	to_c: ANY
			-- Address of actual sequence of values,
			-- for passing to external (non-Eiffel) routines.
			-- (from ARRAY)
	
feature -- Duplication

	copy (other: like Current)
			-- Reinitialize by copying all the items of other.
			-- (This is also used by clone.)
			-- (from ARRAY)
		require -- from ANY
			other_not_void: other /= void
			type_identity: same_type (other)
		ensure -- from ANY
			is_equal: is_equal (other)
		ensure then -- from ARRAY
			equal_areas: area.is_equal (other.area)

	subarray (start_pos, end_pos: INTEGER): like Current
			-- Array made of items of current array within
			-- bounds start_pos and end_pos.
			-- (from ARRAY)
		require -- from ARRAY
			valid_start_pos: valid_index (start_pos)
			valid_end_pos: valid_index (end_pos)
			valid_bounds: (start_pos <= end_pos) or (start_pos = end_pos + 1)
		ensure -- from ARRAY
			lower: Result.lower = start_pos
			upper: Result.upper = end_pos
	
feature -- Output

	trace
			-- Print information about the automaton's states.
	
invariant

		-- from ANY
	reflexive_equality: standard_is_equal (Current)
	reflexive_conformance: conforms_to (Current)
		-- from ARRAY
	area_exists: area /= void
	consistent_size: capacity = upper - lower + 1
	non_negative_count: count >= 0
	index_set_has_same_count: valid_index_set
		-- from RESIZABLE
	increase_by_at_least_one: minimal_increase >= 1
		-- from BOUNDED
	valid_count: count <= capacity
	full_definition: full = (count = capacity)
		-- from FINITE
	empty_definition: is_empty = (count = 0)
	non_negative_count: count >= 0
		-- from INDEXABLE
	index_set_not_void: index_set /= void

end -- class FIXED_DFA