autfilt.cc

// -*- coding: utf-8 -*-
// Copyright (C) 2013, 2014, 2015, 2016 Laboratoire de Recherche et
// Développement de l'Epita (LRDE).
//
// This file is part of Spot, a model checking library.
//
// Spot is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 3 of the License, or
// (at your option) any later version.
//
// Spot is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
// or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
// License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

#include "common_sys.hh"

#include <string>
#include <iostream>
#include <limits>
#include <set>
#include <memory>

#include <argp.h>
#include "error.h"

#include "common_setup.hh"
#include "common_finput.hh"
#include "common_cout.hh"
#include "common_aoutput.hh"
#include "common_range.hh"
#include "common_post.hh"
#include "common_conv.hh"
#include "common_hoaread.hh"

#include <spot/twaalgos/product.hh>
#include <spot/twaalgos/isdet.hh>
#include <spot/twaalgos/stutter.hh>
#include <spot/twaalgos/isunamb.hh>
#include <spot/misc/optionmap.hh>
#include <spot/misc/timer.hh>
#include <spot/misc/random.hh>
#include <spot/parseaut/public.hh>
#include <spot/tl/exclusive.hh>
#include <spot/twaalgos/remprop.hh>
#include <spot/twaalgos/randomize.hh>
#include <spot/twaalgos/are_isomorphic.hh>
#include <spot/twaalgos/canonicalize.hh>
#include <spot/twaalgos/mask.hh>
#include <spot/twaalgos/sepsets.hh>
#include <spot/twaalgos/stripacc.hh>
#include <spot/twaalgos/remfin.hh>
#include <spot/twaalgos/cleanacc.hh>
#include <spot/twaalgos/dtwasat.hh>
#include <spot/twaalgos/complement.hh>
#include <spot/twaalgos/strength.hh>
#include <spot/twaalgos/hoa.hh>
#include <spot/twaalgos/sccinfo.hh>
#include <spot/twaalgos/isweakscc.hh>
#include <spot/twaalgos/gtec/gtec.hh>

static const char argp_program_doc[] ="\
Convert, transform, and filter omega-automata.\v\
Exit status:\n\
  0  if some automata were output\n\
  1  if no automata were output (no match)\n\
  2  if any error has been reported";

// Keep this list sorted
enum {
  OPT_ACC_SCCS = 256,
  OPT_ACC_SETS,
  OPT_ACCEPT_WORD,
  OPT_AP_N,
  OPT_ARE_ISOMORPHIC,
  OPT_CLEAN_ACC,
  OPT_CNF_ACC,
  OPT_COMPLEMENT,
  OPT_COMPLEMENT_ACC,
  OPT_COUNT,
  OPT_DECOMPOSE_STRENGTH,
  OPT_DESTUT,
  OPT_DNF_ACC,
  OPT_EDGES,
  OPT_EQUIVALENT_TO,
  OPT_EXCLUSIVE_AP,
  OPT_GENERIC,
  OPT_HIGHLIGHT_NONDET,
  OPT_HIGHLIGHT_NONDET_EDGES,
  OPT_HIGHLIGHT_NONDET_STATES,
  OPT_HIGHLIGHT_WORD,
  OPT_INSTUT,
  OPT_INCLUDED_IN,
  OPT_INHERENTLY_WEAK_SCCS,
  OPT_INTERSECT,
  OPT_IS_COMPLETE,
  OPT_IS_DETERMINISTIC,
  OPT_IS_EMPTY,
  OPT_IS_STUTTER_INVARIANT,
  OPT_IS_TERMINAL,
  OPT_IS_UNAMBIGUOUS,
  OPT_IS_WEAK,
  OPT_IS_INHERENTLY_WEAK,
  OPT_KEEP_STATES,
  OPT_MASK_ACC,
  OPT_MERGE,
  OPT_NONDET_STATES,
  OPT_PRODUCT_AND,
  OPT_PRODUCT_OR,
  OPT_RANDOMIZE,
  OPT_REJ_SCCS,
  OPT_REJECT_WORD,
  OPT_REM_AP,
  OPT_REM_DEAD,
  OPT_REM_UNREACH,
  OPT_REM_UNUSED_AP,
  OPT_REM_FIN,
  OPT_SAT_MINIMIZE,
  OPT_SCCS,
  OPT_SEED,
  OPT_SEP_SETS,
  OPT_SIMPLIFY_EXCLUSIVE_AP,
  OPT_STATES,
  OPT_STRIPACC,
  OPT_TERMINAL_SCCS,
  OPT_TRIV_SCCS,
  OPT_USED_AP_N,
  OPT_UNUSED_AP_N,
  OPT_WEAK_SCCS,
};

static const argp_option options[] =
  {
    /**************************************************/
    { nullptr, 0, nullptr, 0, "Input:", 1 },
    { "file", 'F', "FILENAME", 0,
      "process the automaton in FILENAME", 0 },
    /**************************************************/
    { "count", 'c', nullptr, 0, "print only a count of matched automata", 3 },
    { "max-count", 'n', "NUM", 0, "output at most NUM automata", 3 },
    /**************************************************/
    { nullptr, 0, nullptr, 0, "Filtering options:", 5 },
    { "ap", OPT_AP_N, "RANGE", 0,
      "match automata with a number of (declared) atomic propositions in RANGE",
      0 },
    { "used-ap", OPT_USED_AP_N, "RANGE", 0,
      "match automata with a number of used atomic propositions in RANGE", 0 },
    { "unused-ap", OPT_UNUSED_AP_N, "RANGE", 0,
      "match automata with a number of declared, but unused atomic "
      "propositions in RANGE", 0 },
    { "are-isomorphic", OPT_ARE_ISOMORPHIC, "FILENAME", 0,
      "keep automata that are isomorphic to the automaton in FILENAME", 0 },
    { "isomorphic", 0, nullptr, OPTION_ALIAS | OPTION_HIDDEN, nullptr, 0 },
    { "unique", 'u', nullptr, 0,
      "do not output the same automaton twice (same in the sense that they "\
      "are isomorphic)", 0 },
    { "is-complete", OPT_IS_COMPLETE, nullptr, 0,
      "keep complete automata", 0 },
    { "is-deterministic", OPT_IS_DETERMINISTIC, nullptr, 0,
      "keep deterministic automata", 0 },
    { "is-empty", OPT_IS_EMPTY, nullptr, 0,
      "keep automata with an empty language", 0 },
    { "is-stutter-invariant", OPT_IS_STUTTER_INVARIANT, nullptr, 0,
      "keep automata representing stutter-invariant properties", 0 },
    { "is-terminal", OPT_IS_TERMINAL, nullptr, 0,
      "keep only terminal automata", 0 },
    { "is-unambiguous", OPT_IS_UNAMBIGUOUS, nullptr, 0,
      "keep only unambiguous automata", 0 },
    { "is-weak", OPT_IS_WEAK, nullptr, 0,
      "keep only weak automata", 0 },
    { "is-inherently-weak", OPT_IS_INHERENTLY_WEAK, nullptr, 0,
      "keep only inherently weak automata", 0 },
    { "intersect", OPT_INTERSECT, "FILENAME", 0,
      "keep automata whose languages have an non-empty intersection with"
      " the automaton from FILENAME", 0 },
    { "included-in", OPT_INCLUDED_IN, "FILENAME", 0,
      "keep automata whose languages are included in that of the "
      "automaton from FILENAME", 0 },
    { "equivalent-to", OPT_EQUIVALENT_TO, "FILENAME", 0,
      "keep automata thare are equivalent (language-wise) to the automaton "
      "in FILENAME", 0 },
    { "invert-match", 'v', nullptr, 0, "select non-matching automata", 0 },
    { "states", OPT_STATES, "RANGE", 0,
      "keep automata whose number of states is in RANGE", 0 },
    { "edges", OPT_EDGES, "RANGE", 0,
      "keep automata whose number of edges is in RANGE", 0 },
    { "nondet-states", OPT_NONDET_STATES, "RANGE", 0,
      "keep automata whose number of nondeterministic states is in RANGE", 0 },
    { "acc-sets", OPT_ACC_SETS, "RANGE", 0,
      "keep automata whose number of acceptance sets is in RANGE", 0 },
    { "sccs", OPT_SCCS, "RANGE", 0,
      "keep automata whose number of SCCs is in RANGE", 0 },
    { "acc-sccs", OPT_ACC_SCCS, "RANGE", 0,
      "keep automata whose number of non-trivial accepting SCCs is in RANGE",
      0 },
    { "accepting-sccs", 0, nullptr, OPTION_ALIAS, nullptr, 0 },
    { "rej-sccs", OPT_REJ_SCCS, "RANGE", 0,
      "keep automata whose number of non-trivial rejecting SCCs is in RANGE",
      0 },
    { "rejecting-sccs", 0, nullptr, OPTION_ALIAS, nullptr, 0 },
    { "triv-sccs", OPT_TRIV_SCCS, "RANGE", 0,
      "keep automata whose number of trivial SCCs is in RANGE", 0 },
    { "trivial-sccs", 0, nullptr, OPTION_ALIAS, nullptr, 0 },
    { "inherently-weak-sccs", OPT_INHERENTLY_WEAK_SCCS, "RANGE", 0,
      "keep automata whose number of accepting inherently-weak SCCs is in "
      "RANGE.  An accepting SCC is inherently weak if it does not have a "
      "rejecting cycle.", 0 },
    { "weak-sccs", OPT_WEAK_SCCS, "RANGE", 0,
      "keep automata whose number of accepting weak SCCs is in RANGE.  "
      "In a weak SCC, all transitions belong to the same acceptance sets.", 0 },
    { "terminal-sccs", OPT_TERMINAL_SCCS, "RANGE", 0,
      "keep automata whose number of accepting terminal SCCs is in RANGE.  "
      "Terminal SCCs are weak and complete.", 0 },
    { "accept-word", OPT_ACCEPT_WORD, "WORD", 0,
      "keep automata that accept WORD", 0 },
    { "reject-word", OPT_REJECT_WORD, "WORD", 0,
      "keep automata that reject WORD", 0 },
    /**************************************************/
    RANGE_DOC_FULL,
    WORD_DOC,
    /**************************************************/
    { nullptr, 0, nullptr, 0, "Transformations:", 7 },
    { "merge-transitions", OPT_MERGE, nullptr, 0,
      "merge transitions with same destination and acceptance", 0 },
    { "product", OPT_PRODUCT_AND, "FILENAME", 0,
      "build the product with the automaton in FILENAME "
      "to intersect languages", 0 },
    { "product-and", 0, nullptr, OPTION_ALIAS, nullptr, 0 },
    { "product-or", OPT_PRODUCT_OR, "FILENAME", 0,
      "build the product with the automaton in FILENAME "
      "to sum languages", 0 },
    { "randomize", OPT_RANDOMIZE, "s|t", OPTION_ARG_OPTIONAL,
      "randomize states and transitions (specify 's' or 't' to "
      "randomize only states or transitions)", 0 },
    { "instut", OPT_INSTUT, "1|2", OPTION_ARG_OPTIONAL,
      "allow more stuttering (two possible algorithms)", 0 },
    { "destut", OPT_DESTUT, nullptr, 0, "allow less stuttering", 0 },
    { "mask-acc", OPT_MASK_ACC, "NUM[,NUM...]", 0,
      "remove all transitions in specified acceptance sets", 0 },
    { "strip-acceptance", OPT_STRIPACC, nullptr, 0,
      "remove the acceptance condition and all acceptance sets", 0 },
    { "keep-states", OPT_KEEP_STATES, "NUM[,NUM...]", 0,
      "only keep specified states.  The first state will be the new "\
      "initial state.  Implies --remove-unreachable-states.", 0 },
    { "dnf-acceptance", OPT_DNF_ACC, nullptr, 0,
      "put the acceptance condition in Disjunctive Normal Form", 0 },
    { "cnf-acceptance", OPT_CNF_ACC, nullptr, 0,
      "put the acceptance condition in Conjunctive Normal Form", 0 },
    { "remove-fin", OPT_REM_FIN, nullptr, 0,
      "rewrite the automaton without using Fin acceptance", 0 },
    { "cleanup-acceptance", OPT_CLEAN_ACC, nullptr, 0,
      "remove unused acceptance sets from the automaton", 0 },
    { "complement", OPT_COMPLEMENT, nullptr, 0,
      "complement each automaton (currently support only deterministic "
      "automata)", 0 },
    { "complement-acceptance", OPT_COMPLEMENT_ACC, nullptr, 0,
      "complement the acceptance condition (without touching the automaton)",
      0 },
    { "decompose-strength", OPT_DECOMPOSE_STRENGTH, "t|w|s", 0,
      "extract the (t) terminal, (w) weak, or (s) strong part of an automaton"
      " (letters may be combined to combine more strengths in the output)", 0 },
    { "exclusive-ap", OPT_EXCLUSIVE_AP, "AP,AP,...", 0,
      "if any of those APs occur in the automaton, restrict all edges to "
      "ensure two of them may not be true at the same time.  Use this option "
      "multiple times to declare independent groups of exclusive "
      "propositions.", 0 },
    { "simplify-exclusive-ap", OPT_SIMPLIFY_EXCLUSIVE_AP, nullptr, 0,
      "if --exclusive-ap is used, assume those AP groups are actually exclusive"
      " in the system to simplify the expression of transition labels (implies "
      "--merge-transitions)", 0 },
    { "remove-ap", OPT_REM_AP, "AP[=0|=1][,AP...]", 0,
      "remove atomic propositions either by existential quantification, or "
      "by assigning them 0 or 1", 0 },
    { "remove-unused-ap", OPT_REM_UNUSED_AP, nullptr, 0,
      "remove declared atomic propositions that are not used", 0 },
    { "remove-unreachable-states", OPT_REM_UNREACH, nullptr, 0,
      "remove states that are unreachable from the initial state", 0 },
    { "remove-dead-states", OPT_REM_DEAD, nullptr, 0,
      "remove states that are unreachable, or that cannot belong to an "
      "infinite path", 0 },
    { "separate-sets", OPT_SEP_SETS, nullptr, 0,
      "if both Inf(x) and Fin(x) appear in the acceptance condition, replace "
      "Fin(x) by a new Fin(y) and adjust the automaton", 0 },
    { "sat-minimize", OPT_SAT_MINIMIZE, "options", OPTION_ARG_OPTIONAL,
      "minimize the automaton using a SAT solver (only works for deterministic"
      " automata)", 0 },
    /**************************************************/
    { nullptr, 0, nullptr, 0, "Decoration (for -d and -H1.1 output):", 8 },
    { "highlight-nondet-states", OPT_HIGHLIGHT_NONDET_STATES, "NUM",
      OPTION_ARG_OPTIONAL, "highlight nondeterministic states with color NUM",
      0 },
    { "highlight-nondet-edges", OPT_HIGHLIGHT_NONDET_EDGES, "NUM",
      OPTION_ARG_OPTIONAL, "highlight nondeterministic edges with color NUM",
      0 },
    { "highlight-nondet", OPT_HIGHLIGHT_NONDET, "NUM",
      OPTION_ARG_OPTIONAL,
      "highlight nondeterministic states and edges with color NUM", 0},
    { "highlight-word", OPT_HIGHLIGHT_WORD, "[NUM,]WORD", 0,
      "highlight one run matching WORD using color NUM", 0},
    /**************************************************/
    { nullptr, 0, nullptr, 0,
      "If any option among --small, --deterministic, or --any is given, "
      "then the simplification level defaults to --high unless specified "
      "otherwise.  If any option among --low, --medium, or --high is given, "
      "then the simplification goal defaults to --small unless specified "
      "otherwise.  If none of those options are specified, then autfilt "
      "acts as is --any --low were given: these actually disable the "
      "simplification routines.", 22 },
    /**************************************************/
    { nullptr, 0, nullptr, 0, "Miscellaneous options:", -1 },
    { "extra-options", 'x', "OPTS", 0,
      "fine-tuning options (see spot-x (7))", 0 },
    { "seed", OPT_SEED, "INT", 0,
      "seed for the random number generator (0)", 0 },
    { nullptr, 0, nullptr, 0, nullptr, 0 }
  };

static const struct argp_child children[] =
  {
    { &hoaread_argp, 0, nullptr, 0 },
    { &aoutput_argp, 0, nullptr, 0 },
    { &aoutput_io_format_argp, 0, nullptr, 4 },
    { &post_argp_disabled, 0, nullptr, 0 },
    { &misc_argp, 0, nullptr, -1 },
    { nullptr, 0, nullptr, 0 }
  };

typedef spot::twa_graph::graph_t::edge_storage_t tr_t;
typedef std::set<std::vector<tr_t>> unique_aut_t;
static long int match_count = 0;
static spot::option_map extra_options;
static bool randomize_st = false;
static bool randomize_tr = false;
static int opt_seed = 0;

// We want all these variables to be destroyed when we exit main, to
// make sure it happens before all other global variables (like the
// atomic propositions maps) are destroyed.  Otherwise we risk
// accessing deleted stuff.
static struct opt_t
{
  spot::bdd_dict_ptr dict = spot::make_bdd_dict();
  spot::twa_graph_ptr product_and = nullptr;
  spot::twa_graph_ptr product_or = nullptr;
  spot::twa_graph_ptr intersect = nullptr;
  spot::twa_graph_ptr included_in = nullptr;
  spot::twa_graph_ptr equivalent_pos = nullptr;
  spot::twa_graph_ptr equivalent_neg = nullptr;
  spot::twa_graph_ptr are_isomorphic = nullptr;
  std::unique_ptr<spot::isomorphism_checker>
                         isomorphism_checker = nullptr;
  std::unique_ptr<unique_aut_t> uniq = nullptr;
  spot::exclusive_ap excl_ap;
  spot::remove_ap rem_ap;
  std::vector<spot::twa_graph_ptr> acc_words;
  std::vector<spot::twa_graph_ptr> rej_words;
  std::vector<std::pair<spot::twa_graph_ptr, unsigned>> hl_words;
}* opt;

static bool opt_merge = false;
static bool opt_is_complete = false;
static bool opt_is_deterministic = false;
static bool opt_is_unambiguous = false;
static bool opt_is_terminal = false;
static bool opt_is_weak = false;
static bool opt_is_inherently_weak = false;
static bool opt_is_stutter_invariant = false;
static bool opt_invert = false;
static range opt_states = { 0, std::numeric_limits<int>::max() };
static range opt_edges = { 0, std::numeric_limits<int>::max() };
static range opt_accsets = { 0, std::numeric_limits<int>::max() };
static range opt_ap_n = { 0, std::numeric_limits<int>::max() };
static range opt_used_ap_n = { 0, std::numeric_limits<int>::max() };
static range opt_unused_ap_n = { 0, std::numeric_limits<int>::max() };
static bool need_unused_ap_count = false;
static range opt_sccs = { 0, std::numeric_limits<int>::max() };
static range opt_acc_sccs = { 0, std::numeric_limits<int>::max() };
static range opt_rej_sccs = { 0, std::numeric_limits<int>::max() };
static range opt_triv_sccs = { 0, std::numeric_limits<int>::max() };
static bool opt_sccs_set = false;
static bool opt_art_sccs_set = false; // need to classify SCCs as Acc/Rej/Triv.
static range opt_inhweak_sccs = { 0, std::numeric_limits<int>::max() };
static bool opt_inhweak_sccs_set = false;
static range opt_weak_sccs = { 0, std::numeric_limits<int>::max() };
static bool opt_weak_sccs_set = false;
static range opt_terminal_sccs = { 0, std::numeric_limits<int>::max() };
static bool opt_terminal_sccs_set = false;
static range opt_nondet_states = { 0, std::numeric_limits<int>::max() };
static bool opt_nondet_states_set = false;
static int opt_max_count = -1;
static bool opt_destut = false;
static char opt_instut = 0;
static bool opt_is_empty = false;
static bool opt_stripacc = false;
static bool opt_dnf_acc = false;
static bool opt_cnf_acc = false;
static bool opt_rem_fin = false;
static bool opt_clean_acc = false;
static bool opt_complement = false;
static bool opt_complement_acc = false;
static char* opt_decompose_strength = nullptr;
static spot::acc_cond::mark_t opt_mask_acc = 0U;
static std::vector<bool> opt_keep_states = {};
static unsigned int opt_keep_states_initial = 0;
static bool opt_simplify_exclusive_ap = false;
static bool opt_rem_dead = false;
static bool opt_rem_unreach = false;
static bool opt_rem_unused_ap = false;
static bool opt_sep_sets = false;
static const char* opt_sat_minimize = nullptr;
static int opt_highlight_nondet_states = -1;
static int opt_highlight_nondet_edges = -1;

static spot::twa_graph_ptr
ensure_deterministic(const spot::twa_graph_ptr& aut)
{
  if (spot::is_deterministic(aut))
    return aut;
  spot::postprocessor p;
  p.set_type(spot::postprocessor::Generic);
  p.set_pref(spot::postprocessor::Deterministic);
  p.set_level(level);
  return p.run(aut);
}

static int
parse_opt(int key, char* arg, struct argp_state*)
{
  // This switch is alphabetically-ordered.
  switch (key)
    {
    case 'c':
      automaton_format = Count;
      break;
    case 'F':
      jobs.emplace_back(arg, true);
      break;
    case 'n':
      opt_max_count = to_pos_int(arg);
      break;
    case 'u':
      opt->uniq =
        std::unique_ptr<unique_aut_t>(new std::set<std::vector<tr_t>>());
      break;
    case 'v':
      opt_invert = true;
      break;
    case 'x':
      {
        const char* opt = extra_options.parse_options(arg);
        if (opt)
          error(2, 0, "failed to parse --options near '%s'", opt);
      }
      break;
    case OPT_AP_N:
      opt_ap_n = parse_range(arg, 0, std::numeric_limits<int>::max());
      break;
    case OPT_ACC_SETS:
      opt_accsets = parse_range(arg, 0, std::numeric_limits<int>::max());
      break;
    case OPT_ACC_SCCS:
      opt_acc_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_art_sccs_set = true;
      break;
    case OPT_ACCEPT_WORD:
      try
        {
          opt->acc_words.push_back(spot::parse_word(arg, opt->dict)
                                   ->as_automaton());
        }
      catch (const spot::parse_error& e)
        {
          error(2, 0, "failed to parse the argument of --accept-word:\n%s",
                e.what());
        }
      break;
    case OPT_ARE_ISOMORPHIC:
      opt->are_isomorphic = read_automaton(arg, opt->dict);
      break;
    case OPT_CLEAN_ACC:
      opt_clean_acc = true;
      break;
    case OPT_CNF_ACC:
      opt_dnf_acc = false;
      opt_cnf_acc = true;
      break;
    case OPT_COMPLEMENT:
      opt_complement = true;
      break;
    case OPT_COMPLEMENT_ACC:
      opt_complement_acc = true;
      break;
    case OPT_DECOMPOSE_STRENGTH:
      opt_decompose_strength = arg;
      break;
    case OPT_DESTUT:
      opt_destut = true;
      break;
    case OPT_DNF_ACC:
      opt_dnf_acc = true;
      opt_cnf_acc = false;
      break;
    case OPT_EDGES:
      opt_edges = parse_range(arg, 0, std::numeric_limits<int>::max());
      break;
    case OPT_EXCLUSIVE_AP:
      opt->excl_ap.add_group(arg);
      break;
    case OPT_EQUIVALENT_TO:
      if (opt->equivalent_pos)
        error(2, 0, "only one --equivalent-to option can be given");
      opt->equivalent_pos = read_automaton(arg, opt->dict);
      opt->equivalent_neg =
        spot::dtwa_complement(ensure_deterministic(opt->equivalent_pos));
      break;
    case OPT_HIGHLIGHT_NONDET:
      {
        int v = arg ? to_pos_int(arg) : 1;
        opt_highlight_nondet_edges = opt_highlight_nondet_states = v;
        break;
      }
    case OPT_HIGHLIGHT_NONDET_STATES:
      opt_highlight_nondet_states = arg ? to_pos_int(arg) : 1;
      break;
    case OPT_HIGHLIGHT_NONDET_EDGES:
      opt_highlight_nondet_edges = arg ? to_pos_int(arg) : 1;
      break;
    case OPT_HIGHLIGHT_WORD:
      {
        char* endptr;
        int res = strtol(arg, &endptr, 10);
        if (endptr == arg)
          {
            res = 1;
          }
        else
          {
            if (res < 0)
              error(2, 0, "failed to parse the argument of --highlight-word: "
                    "%d is not positive", res);
            while (std::isspace(*endptr))
              ++endptr;
            if (*endptr != ',')
              error(2, 0, "failed to parse the argument of --highlight-word: "
                    "%d should be followed by a comma and WORD", res);
            arg = endptr + 1;
          }
        try
          {
            opt->hl_words.emplace_back(spot::parse_word(arg, opt->dict)
                                       ->as_automaton(), res);
          }
        catch (const spot::parse_error& e)
          {
            error(2, 0, "failed to parse the argument of --highlight-word:\n%s",
                  e.what());
          }
      }
      break;

    case OPT_INSTUT:
      if (!arg || (arg[0] == '1' && arg[1] == 0))
        opt_instut = 1;
      else if (arg[0] == '2' && arg[1] == 0)
        opt_instut = 2;
      else
        error(2, 0, "unknown argument for --instut: %s", arg);
      break;
    case OPT_INCLUDED_IN:
      {
        auto aut = ensure_deterministic(read_automaton(arg, opt->dict));
        aut = spot::dtwa_complement(aut);
        if (!opt->included_in)
          opt->included_in = aut;
        else
          opt->included_in = spot::product_or(opt->included_in, aut);
      }
      break;
    case OPT_INHERENTLY_WEAK_SCCS:
      opt_inhweak_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_inhweak_sccs_set = true;
      opt_art_sccs_set = true;
      break;
    case OPT_INTERSECT:
      opt->intersect = read_automaton(arg, opt->dict);
      break;
    case OPT_IS_COMPLETE:
      opt_is_complete = true;
      break;
    case OPT_IS_DETERMINISTIC:
      opt_is_deterministic = true;
      break;
    case OPT_IS_EMPTY:
      opt_is_empty = true;
      break;
    case OPT_IS_INHERENTLY_WEAK:
      opt_is_inherently_weak = true;
      break;
    case OPT_IS_STUTTER_INVARIANT:
      opt_is_stutter_invariant = true;
      break;
    case OPT_IS_TERMINAL:
      opt_is_terminal = true;
      break;
    case OPT_IS_UNAMBIGUOUS:
      opt_is_unambiguous = true;
      break;
    case OPT_IS_WEAK:
      opt_is_weak = true;
      break;
    case OPT_KEEP_STATES:
      {
        std::vector<long> values = to_longs(arg);
        if (!values.empty())
          opt_keep_states_initial = values[0];
        for (auto res : values)
          {
            if (res < 0)
              error(2, 0, "state ids should be non-negative:"
                    " --mask-acc=%ld", res);
            // We don't know yet how many states the automata contain.
            if (opt_keep_states.size() <= static_cast<unsigned long>(res))
              opt_keep_states.resize(res + 1, false);
            opt_keep_states[res] = true;
          }
        opt_rem_unreach = true;
        break;
      }
    case OPT_MERGE:
      opt_merge = true;
      break;
    case OPT_MASK_ACC:
      {
        for (auto res : to_longs(arg))
          {
            if (res < 0)
              error(2, 0, "acceptance sets should be non-negative:"
                    " --mask-acc=%ld", res);
            if (static_cast<unsigned long>(res)
                > sizeof(spot::acc_cond::mark_t::value_t))
              error(2, 0, "this implementation does not support that many"
                    " acceptance sets: --mask-acc=%ld", res);
            opt_mask_acc.set(res);
          }
        break;
      }
    case OPT_NONDET_STATES:
      opt_nondet_states = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_nondet_states_set = true;
      break;
    case OPT_PRODUCT_AND:
      {
        auto a = read_automaton(arg, opt->dict);
        if (!opt->product_and)
          opt->product_and = std::move(a);
        else
          opt->product_and = spot::product(std::move(opt->product_and),
                                           std::move(a));
      }
      break;
    case OPT_PRODUCT_OR:
      {
        auto a = read_automaton(arg, opt->dict);
        if (!opt->product_or)
          opt->product_or = std::move(a);
        else
          opt->product_or = spot::product_or(std::move(opt->product_or),
                                             std::move(a));
      }
      break;
    case OPT_RANDOMIZE:
      if (arg)
        {
          for (auto p = arg; *p; ++p)
            switch (*p)
              {
              case 's':
                randomize_st = true;
                break;
              case 't':
                randomize_tr = true;
                break;
              default:
                error(2, 0, "unknown argument for --randomize: '%c'", *p);
              }
        }
      else
        {
          randomize_tr = true;
          randomize_st = true;
        }
      break;
    case OPT_REJ_SCCS:
      opt_rej_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_art_sccs_set = true;
      break;
    case OPT_REJECT_WORD:
      try
        {
          opt->rej_words.push_back(spot::parse_word(arg, opt->dict)
                                   ->as_automaton());
        }
      catch (const spot::parse_error& e)
        {
          error(2, 0, "failed to parse the argument of --reject-word:\n%s",
                e.what());
        }
      break;
    case OPT_REM_AP:
      opt->rem_ap.add_ap(arg);
      break;
    case OPT_REM_DEAD:
      opt_rem_dead = true;
      break;
    case OPT_REM_FIN:
      opt_rem_fin = true;
      break;
    case OPT_REM_UNREACH:
      opt_rem_unreach = true;
      break;
    case OPT_REM_UNUSED_AP:
      opt_rem_unused_ap = true;
      break;
    case OPT_SAT_MINIMIZE:
      opt_sat_minimize = arg ? arg : "";
      break;
    case OPT_SCCS:
      opt_sccs_set = true;
      opt_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      break;
    case OPT_SEED:
      opt_seed = to_int(arg);
      break;
    case OPT_SEP_SETS:
      opt_sep_sets = true;
      break;
    case OPT_SIMPLIFY_EXCLUSIVE_AP:
      opt_simplify_exclusive_ap = true;
      opt_merge = true;
      break;
    case OPT_STATES:
      opt_states = parse_range(arg, 0, std::numeric_limits<int>::max());
      break;
    case OPT_STRIPACC:
      opt_stripacc = true;
      break;
    case OPT_TERMINAL_SCCS:
      opt_terminal_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_terminal_sccs_set = true;
      opt_art_sccs_set = true;
      break;
    case OPT_TRIV_SCCS:
      opt_triv_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_art_sccs_set = true;
      break;
    case OPT_USED_AP_N:
      opt_used_ap_n = parse_range(arg, 0, std::numeric_limits<int>::max());
      need_unused_ap_count = true;
      break;
    case OPT_UNUSED_AP_N:
      opt_unused_ap_n = parse_range(arg, 0, std::numeric_limits<int>::max());
      need_unused_ap_count = true;
      break;
    case OPT_WEAK_SCCS:
      opt_weak_sccs = parse_range(arg, 0, std::numeric_limits<int>::max());
      opt_weak_sccs_set = true;
      opt_art_sccs_set = true;
      break;
    case ARGP_KEY_ARG:
      jobs.emplace_back(arg, true);
      break;

    default:
      return ARGP_ERR_UNKNOWN;
    }
  return 0;
}

static int unused_ap(const spot::const_twa_graph_ptr& aut)
{
  bdd all = aut->ap_vars();
  for (auto& e: aut->edges())
    {
      all = bdd_exist(all, bdd_support(e.cond));
      if (all == bddtrue)    // All APs are used.
        return 0;
    }
  int count = 0;
  while (all != bddtrue)
    {
      ++count;
      all = bdd_high(all);
    }
  return count;
}

namespace
{
  class hoa_processor final: public job_processor
  {
  private:
    spot::postprocessor& post;
    automaton_printer printer;
  public:

    hoa_processor(spot::postprocessor& post)
      : post(post), printer(aut_input)
    {
    }

    int
    process_formula(spot::formula, const char*, int)
    {
      SPOT_UNREACHABLE();
    }

    int
    process_automaton(const spot::const_parsed_aut_ptr& haut,
                      const char* filename)
    {
      spot::stopwatch sw;
      sw.start();

      // If --stats or --name is used, duplicate the automaton so we
      // never modify the original automaton (e.g. with
      // merge_edges()) and the statistics about it make sense.
      auto aut = ((automaton_format == Stats) || opt_name)
        ? spot::make_twa_graph(haut->aut, spot::twa::prop_set::all())
        : haut->aut;

      // Preprocessing.

      if (opt_stripacc)
        spot::strip_acceptance_here(aut);
      if (opt_merge)
        aut->merge_edges();
      if (opt_clean_acc || opt_rem_fin)
        cleanup_acceptance_here(aut);
      if (opt_sep_sets)
        separate_sets_here(aut);
      if (opt_complement_acc)
        aut->set_acceptance(aut->acc().num_sets(),
                            aut->get_acceptance().complement());
      if (opt_rem_fin)
        aut = remove_fin(aut);
      if (opt_dnf_acc)
        aut->set_acceptance(aut->acc().num_sets(),
                            aut->get_acceptance().to_dnf());
      if (opt_cnf_acc)
        aut->set_acceptance(aut->acc().num_sets(),
                            aut->get_acceptance().to_cnf());

      // Filters.

      bool matched = true;

      matched &= opt_states.contains(aut->num_states());
      matched &= opt_edges.contains(aut->num_edges());
      matched &= opt_accsets.contains(aut->acc().num_sets());
      matched &= opt_ap_n.contains(aut->ap().size());
      if (matched && need_unused_ap_count)
        {
          int unused = unused_ap(aut);
          matched &= opt_unused_ap_n.contains(unused);
          matched &= opt_used_ap_n.contains(aut->ap().size() - unused);
        }
      if (matched && opt_is_complete)
        matched &= is_complete(aut);
      if (matched && (opt_sccs_set | opt_art_sccs_set))
        {
          spot::scc_info si(aut);
          unsigned n = si.scc_count();
          matched = opt_sccs.contains(n);

          if (opt_art_sccs_set && matched)
            {
              si.determine_unknown_acceptance();
              unsigned triv = 0;
              unsigned acc = 0;
              unsigned rej = 0;
              unsigned inhweak = 0;
              unsigned weak = 0;
              unsigned terminal = 0;
              for (unsigned s = 0; s < n; ++s)
                if (si.is_trivial(s))
                  {
                    ++triv;
                  }
                else if (si.is_rejecting_scc(s))
                  {
                    ++rej;
                  }
                else
                  {
                    ++acc;
                    if (opt_inhweak_sccs_set)
                      inhweak += is_inherently_weak_scc(si, s);
                    if (opt_weak_sccs_set)
                      weak += is_weak_scc(si, s);
                    if (opt_terminal_sccs_set)
                      terminal += is_terminal_scc(si, s);
                  }
              matched &= opt_acc_sccs.contains(acc);
              matched &= opt_rej_sccs.contains(rej);
              matched &= opt_triv_sccs.contains(triv);
              matched &= opt_inhweak_sccs.contains(inhweak);
              matched &= opt_weak_sccs.contains(weak);
              matched &= opt_terminal_sccs.contains(terminal);
            }
        }
      if (opt_nondet_states_set)
        matched &= opt_nondet_states.contains(spot::count_nondet_states(aut));
      if (opt_is_deterministic)
        matched &= is_deterministic(aut);
      else if (opt_is_unambiguous)
        matched &= is_unambiguous(aut);
      if (opt_is_terminal)
        matched &= is_terminal_automaton(aut);
      else if (opt_is_weak)
        matched &= is_weak_automaton(aut);
      else if (opt_is_inherently_weak)
        matched &= is_inherently_weak_automaton(aut);
      if (opt->are_isomorphic)
        matched &= opt->isomorphism_checker->is_isomorphic(aut);
      if (opt_is_empty)
        matched &= aut->is_empty();
      if (opt->intersect)
        matched &= !spot::product(aut, opt->intersect)->is_empty();
      if (opt->included_in)
        matched &= spot::product(aut, opt->included_in)->is_empty();
      if (opt->equivalent_pos)
        matched &= spot::product(aut, opt->equivalent_neg)->is_empty()
          && spot::product(dtwa_complement(ensure_deterministic(aut)),
                           opt->equivalent_pos)->is_empty();

      if (matched && !opt->acc_words.empty())
        for (auto& word_aut: opt->acc_words)
          if (spot::product(aut, word_aut)->is_empty())
            {
              matched = false;
              break;
            }
      if (matched && !opt->rej_words.empty())
        for (auto& word_aut: opt->rej_words)
          if (!spot::product(aut, word_aut)->is_empty())
            {
              matched = false;
              break;
            }
      if (opt_is_stutter_invariant)
        {
          check_stutter_invariance(aut);
          assert(aut->prop_stutter_invariant().is_known());
          matched &= aut->prop_stutter_invariant().is_true();
        }

      // Drop or keep matched automata depending on the --invert option
      if (matched == opt_invert)
        return 0;

      // Postprocessing.

      if (opt_mask_acc)
        aut = mask_acc_sets(aut, opt_mask_acc & aut->acc().all_sets());

      if (!opt->rem_ap.empty())
        aut = opt->rem_ap.strip(aut);

      // opt_simplify_exclusive_ap is handled only after
      // post-processing.
      if (!opt->excl_ap.empty())
        aut = opt->excl_ap.constrain(aut, false);

      if (opt_destut)
        aut = spot::closure(std::move(aut));
      if (opt_instut == 1)
        aut = spot::sl(std::move(aut));
      else if (opt_instut == 2)
        aut = spot::sl2(std::move(aut));

      if (!opt_keep_states.empty())
        aut = mask_keep_states(aut, opt_keep_states, opt_keep_states_initial);
      if (opt_rem_dead)
        aut->purge_dead_states();
      else if (opt_rem_unreach)
        aut->purge_unreachable_states();

      if (opt->product_and)
        aut = spot::product(std::move(aut), opt->product_and);
      if (opt->product_or)
        aut = spot::product_or(std::move(aut), opt->product_or);

      if (opt_decompose_strength)
        {
          aut = decompose_strength(aut, opt_decompose_strength);
          if (!aut)
            return 0;
        }

      if (opt_sat_minimize)
        {
          aut = spot::sat_minimize(aut, opt_sat_minimize, sbacc);
          if (!aut)
            return 0;
        }

      if (opt_complement)
        aut = spot::dtwa_complement(ensure_deterministic(aut));

      aut = post.run(aut, nullptr);

      if (opt_simplify_exclusive_ap && !opt->excl_ap.empty())
        aut = opt->excl_ap.constrain(aut, true);
      else if (opt_rem_unused_ap) // constrain(aut, true) already does that
        aut->remove_unused_ap();

      if (randomize_st || randomize_tr)
        spot::randomize(aut, randomize_st, randomize_tr);

      if (opt_highlight_nondet_states >= 0)
        spot::highlight_nondet_states(aut, opt_highlight_nondet_states);
      if (opt_highlight_nondet_edges >= 0)
        spot::highlight_nondet_edges(aut, opt_highlight_nondet_edges);

      if (!opt->hl_words.empty())
        for (auto& word_aut: opt->hl_words)
          {