Análisis Detallado de los Partidos
Cada partido tiene su propios matices y desafíos. Comenzaremos analizando a los competidores principales, sus fortalezas, debilidades, y sus historiales contra rivales. También abordaremos el factor sorpresa, considerando las últimas lesiones y cambios en las condiciones de juego que podrían impactar los resultados.
ATP 250 en Brasil
Este torneo es siempre una vitrina para destacados talentos emergentes. Los jugadores que suelen triunfar aquí son aquellos con un juego consistente y la capacidad de adaptarse rápidamente a diferentes superficies. Tenemos una lista de los candidatos principales para el título:
- João Souza - Conocido por su solidez defensiva, Souza ha mostrado un excelente nivel en tierra batida.
- Guilherme Clezar - Posee un servicio potente y certero, lo que le permite dominar desde el inicio de los partidos.
- Marcos Daniel - Con su experiencia y habilida<|repo_name|>bastianallgeier/automata<|file_sep|>/src/automata/automaton.ml
(*
* Copyright (c) 2009-2010 Fabian J. Theis
*
* Permission to use, copy, modify, and/or distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*)
open Format
open Util
exception Automaton_error of string
type 'sym alphabet = {
name : string;
get_sym : 'sym;
symbol_repr : 'sym -> string;
}
type state = { name : string }
type state_set = {
name : string;
states: state list;
}
type ('sym, 'state) transition = 'sym * 'state * 'state
type transition_set = transition list
type ('sym, 'state) automaton = {
start : 'state;
alphabet : 'sym alphabet;
final : 'state set;
transitions: transition_set;
}
type ('sym, 'state) dfa = {
a : ('sym, 'state) automaton;
table : (string * state_set) Hashtbl.t;
}
let default_alphabet = { get_sym = ""; symbol_repr = (fun s -> s) }
(* any deterministic automaton has a unique table and comes with start and,
possibly empty, final states *)
let of_deterministic_table
(table : (string * state_set) Hashtbl.t)
(start : string)
(final : string set) =
let start = { name = start }
and final = { name = ""; states = StateSet.elements final }
and alphabet = { name = "alphabet"; get_sym = ""; symbol_repr = repr_string }
and transitions = List.concat begin
Hashtbl.iter begin fun sym states ->
let current_sym = alphabet.get_sym in
List.concat begin
Hashtbl.iter begin fun state next_states ->
List.map
(fun nst -> (current_sym, { name = state }, { name = nst }))
next_states
end states
end
end table
end in
{ start; alphabet; final; transitions }
(* get an alpha-symbol from the dictionary *)
let get_alpha_symbol table (symbol : string) =
if Hashtbl.mem table symbol then Hashtbl.find table symbol
else begin
let new_sym = { name = symbol } in
Hashtbl.add table symbol new_sym;
new_sym
end
(* build a deterministic table from the given transitions *)
let build_deterministic_table transitions =
let table = Hashtbl.create 17 in
(* helper for building a deterministic table *)
let rec next_state table table_ent prev alpha transition =
let sym, nst1, nst2 = transition in
(* get the next state we have to go to *)
let nst = if alpha = sym then nst2 else nst1 in
(* next step is find the corresponding symbol *)
let sym = get_alpha_symbol table sym in
(* find the next state set *)
match Hashtbl.find_opt table sym table_ent with
(* if we already have a state set, then append the current next state *)
| Some sset -> Hashtbl.replace table sym { sset with states = nst :: sset.states }
(* otherwise just create a new one *)
| None -> Hashtbl.add table sym { name = ""; states = [nst] }
and build_deterministic_table_rec table prev transitions =
match transitions with
| [] -> table
| t :: tl -> begin
let alpha, nst1, nst2 = t in
Hashtbl.add table alpha prev; (* add this entry first because we need it *)
let table_ent =
try Hashtbl.find table prev.name
with Not_found -> { name = prev.name; states = [] }
in
next_state table table_ent prev alpha t;
build_deterministic_table_rec table nst2 tl
end
in
(* the transitions will always arrive ordered so we simply start with the start *)
build_deterministic_table_rec table { name = "
"; states = [] } transitions (* lift a nondeterministic automaton into a deterministic one *) let lift_automaton_finite a = let table = build_deterministic_table (fst (fst a)) in let start = Hashtbl.find table " " in let final = StateSet.of_list begin Hashtbl.iter begin fun sym sset -> StateSet.iter begin fun state -> if StateSet.mem state a.final then Hashtbl.add final.state_set { state with name = sym :: state.name } end sset.states end table end in of_deterministic_table table start final (* return all input symbols from the given transitions *) let input_symbols transitions = let rec accumulate symbols alphas acc = match acc with | [] -> symbols | (sym, _n1, _n2) :: tl -> accumulate (if List.mem symbol alphas then alphas else sym :: alphas) alphas tl in accumulate [] [] transitions (* lift a given automaton into one which accepts the reverse language *) let reverse_automaton a = let rev_transitions = List.flatten begin ( (* first simply reverse all the transitions *) List.map begin fun (alpha, n1, n2) -> (alpha, n2, n1) end a.transitions) (* and insert the epsilons from the old finals to start of the new one *) @ List.concat begin List.map begin fun f -> List.map begin fun s -> ("", s, f) end a.start end a.final.states end end in { a with start = a.final; final = { name = ""; states = [a.start] }; transitions = rev_transitions; } (* create a new state for an automaton by concatenating it to all existing states and the given one *) let create_new_state sstretegies states = let rec next next_strategies next_states = match next_strategies with | [] -> next_states @ [String.concat "," states] | s :: tl -> next tl ((List.map begin fun st -> String.concat "," (s :: [st]) end states) @ next_states) in next sstretegies [] (* determinize an automaton *) let determinize a = type ('sym, 'state) automaton_num = { a : ('sym, 'state) automaton; states : (string list) list } let final_set = StateSet.of_list begin List.map begin fun s -> String.concat "," s end a.final.states end in let rec determinize_rec a states = (* if all states have been processed we simply return our gathered info *) let classify_all new_states = List.fold_left begin fun acc nsym -> match StateSet.mem nsym final_set with (* if this state is an accepting one then we have to add that information *) | true -> Accepting :: acc (* otherwise it is not *) | false -> Nonaccepting :: acc end [] new_states in (* helper function for going through the alphabet and finding out where we can go *) let process_input state stack input_symbols = let next_all_alphabets current_state input_alphabets = if input_alphabets = [] then [current_state] else List.fold_left begin fun candidates sym -> match List.fold_left (fun acc (alpha, n1, n2) -> if alpha = sym then Some n2 else acc) None a.transitions with | Some new_state -> match StateSet.mem new_state candidates with | true -> candidates | false -> n2 :: candidates | None -> candidates end current_state input_alphabets in (* process each of the states and add it or not accordingly *) let process_single_state state input_symbols = match input_symbols with | sym :: tl -> process_input state (next_all_alphabets state sym) tl | [] -> [create_new_state [] state] in List.flatten begin List.map (fun st -> process_single_state st input_symbols) state end in (* compute the next states from our states by post-processing all the new *) let next_states states input_symbols = process_input states [] input_symbols and next_states_and_classify old_states input_symbols = { new_states = next_states old_states input_symbols; classification = classify_all new_states } in let dfa = determinize_rec a { a; states = [ [a.start.name] ] } in let dfa = lift_automaton_finite ({a with final.states = dfa.states}) in { dfa with final.classification = dfa.final.classification @ dfa.classification } (* a few simple conversion functions between informations of the automaton *) let string_of_states_set = StateSet.elements >> List.map state_to_string >> String.concat "; " let state_to_string s = s.name (* generate a valid pretty representation of the start-state *) let gen_start_repr track_states start = if track_states then " :- " ^ state_to_string start ^ "." else "(" ^ state_to_string start ^ ")" (* generate a valid pretty representation of the final-states *) let gen_final_repr track_states final = if track_states then " :- " ^ String.concat " ; " (List.map state_to_string final) else "(" ^ String.concat " ; " (List.map state_to_string final) ^ ")" (* generate a valid pretty representation of a single transition *) let rec gen_transition_repr track_states transition alphabet = match transition with | (alpha, ns1, ns2) -> if track_states then begin let s1_repr = state_to_string ns1 and s2_repr = state_to_string ns2 in "[" ^ alphabet.symbol_repr alpha ^ "] " ^ s1_repr ^ " :- " ^ s2_repr ^ "." end else begin "(" ^ alphabet.symbol_repr alpha ^ ") " ^ state_to_string ns1 ^ " :- " ^ state_to_string ns2 ^ "." end let gen_list_of_transitions_repr track_states alphabet transitions = String.concat "n" (List.rev_map (gen_transition_repr track_states alphabet) transitions) (* generate a valid pretty representation of the automaton by using the generated function above *) let gen_repr track_states alphabet start final transitions = let start_repr = gen_start_repr track_states start in Printf.printf "n@{ start: %s@n}" start_repr; let final_repr = gen_final_repr track_states final in Printf.printf "@{ finales: %s@n}" final_repr; let trans_repr = gen_list_of_transitions_repr track_states alphabet transitions in Printf.printf "@{ transitionen: %s@n}" trans_repr; (* print an info about an automaton to stdout *) let info a track_states = Printf.printf "----- Info for Automaton of size %d@." (StateSet.cardinal a.final); gen_repr track_states a.alphabet a.start a.final a.transitions; (* return true if a predicate is in the list of all predicates *) let mem_pred list name = List.fold_left begin fun acc p -> match p with | Pred (_, n) -> n = name || acc | _ -> acc end false list (* find all the variables which can be extract from the given list *) let rec find_variables list = match list with | [] -> [] | Pred (_, v) :: tl -> v :: (find_variables tl) | _ :: tl -> find_variables tl (* return true if there is no variable at all but only facts in all the predicates *) let is_not_variable list = List.for_all (function Pred (_, v) -> not v | _ -> false) list (* check if all variables are substituted by constants *) let is_full_substitution list consts = let vs = find_variables list in match vs with | [] -> true | _ when is_not_variable list -> false | vs -> List.for_all (fun v -> List.mem v consts) vs (* convert all constants to strings *) let gen_constants_from_list uniqable ids substs list_data = let rec get_field_data uniqable id substs field_opt data = match field_opt with | None -> ["@."] | Some field -> let data_group = match data with | Pred (_, y) when y -> [if List.mem id uniqable then String.concat "_" ["@?"; id] else id] | Pred (_, _) -> [id] | Fun (id', args'') -> [id'; get_field_data uniqable id' substs args'' data'] | Const v -> [v] | Var v when List.mem v ids -> if List.mem v substs && substs.(v) <> "" then [substs.(v)] else ["@?"; v] | Var v -> ["@?"; v] in data_group :: (get_field_data uniqable id substs args' data') and get_field_data_rec substs list_data data' = match data' with | [] -> let fields_data_listoflists = match data with | Pred (_, _) -> [] | Fun (_, args') -> get_field_data_rec substs list_data args' | _ -> [] in List.flatten fields_data_listoflists | ldata :: tl' -> List.map (get_field_data uniqable ldata substs tl') list_data @ get_field_data_rec substs list_data tl' in List.flatten (get_field_data_rec substs list_data data) (* return all constants found within the given predicates *) let gen_constants uniqable ids substs predicates = List.flatten (List.map (gen_constants_from_list uniqable ids substs) predicates) (* generate all possible combinations of substitutions *) let rec generate_substitution_list alphabet length index list_of_substitutions substs = (* generate one value for each possible input from the alphabet where each letter can be either nothing *) (* which also means that nothing occurs or something occurs which is an actual value from the given alphabet. *) let do_generate_substitution_list vlist next_substitution next_substitution_index = (* check if we are already done generating substitutions for this particular index *) match
