ltlcross.cc 38.7 KB
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// -*- coding: utf-8 -*-
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// Copyright (C) 2012, 2013 Laboratoire de Recherche et Développement
// de l'Epita (LRDE).
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//
// 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 <sstream>
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#include <fstream>
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#include <cstdlib>
#include <cstdio>
#include <argp.h>
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#include <signal.h>
#include <unistd.h>
#include <sys/wait.h>
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#include "error.h"
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#include "gethrxtime.h"
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#include "argmatch.h"
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#include "common_setup.hh"
#include "common_cout.hh"
#include "common_finput.hh"
#include "neverparse/public.hh"
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#include "dstarparse/public.hh"
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#include "ltlast/unop.hh"
#include "ltlvisit/tostring.hh"
#include "ltlvisit/apcollect.hh"
#include "ltlvisit/lbt.hh"
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#include "ltlvisit/relabel.hh"
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#include "tgbaalgos/lbtt.hh"
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#include "tgba/tgbaproduct.hh"
#include "tgbaalgos/gtec/gtec.hh"
#include "tgbaalgos/randomgraph.hh"
#include "tgbaalgos/scc.hh"
#include "tgbaalgos/dotty.hh"
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#include "tgbaalgos/isweakscc.hh"
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#include "tgbaalgos/reducerun.hh"
#include "tgbaalgos/word.hh"
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#include "tgbaalgos/dtgbacomp.hh"
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#include "misc/formater.hh"
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#include "tgbaalgos/stats.hh"
#include "tgbaalgos/isdet.hh"
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#include "misc/escape.hh"
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#include "misc/hash.hh"
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#include "misc/random.hh"
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#include "misc/tmpfile.hh"
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// Disable handling of timeout on systems that miss kill() or alarm().
// For instance MinGW.
#if HAVE_KILL && HAVE_ALARM
# define ENABLE_TIMEOUT 1
#else
# define ENABLE_TIMEOUT 0
#endif

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const char argp_program_doc[] ="\
Call several LTL/PSL translators and cross-compare their output to detect \
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bugs, or to gather statistics.  The list of formulas to use should be \
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supplied on standard input, or using the -f or -F options.\v\
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Exit status:\n\
  0  everything went fine (timeouts are OK too)\n\
  1  some translator failed to output something we understand, or failed\n\
     sanity checks (statistics were output nonetheless)\n\
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  2  ltlcross aborted on error\n\
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";
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#define OPT_STATES 1
#define OPT_DENSITY 2
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#define OPT_JSON 3
#define OPT_CSV 4
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#define OPT_DUPS 5
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#define OPT_NOCHECKS 6
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#define OPT_STOP_ERR 7
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#define OPT_SEED 8
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#define OPT_PRODUCTS 9
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#define OPT_COLOR 10
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#define OPT_NOCOMP 11
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static const argp_option options[] =
  {
    /**************************************************/
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    { 0, 0, 0, 0, "Specifying translators to call:", 2 },
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    { "translator", 't', "COMMANDFMT", 0,
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      "register one translator to call", 0 },
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    { "timeout", 'T', "NUMBER", 0, "kill translators after NUMBER seconds", 0 },
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    /**************************************************/
    { 0, 0, 0, 0,
      "COMMANDFMT should specify input and output arguments using the "
      "following character sequences:", 3 },
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    { "%f,%s,%l,%w", 0, 0, OPTION_DOC | OPTION_NO_USAGE,
      "the formula as a (quoted) string in Spot, Spin, LBT, or Wring's syntax",
      0 },
    { "%F,%S,%L,%W", 0, 0, OPTION_DOC | OPTION_NO_USAGE,
      "the formula as a file in Spot, Spin, LBT, or Wring's syntax", 0 },
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    { "%N,%T,%D", 0, 0, OPTION_DOC | OPTION_NO_USAGE,
      "the output automaton as a Never claim, in LBTT's or in LTL2DSTAR's "
      "format", 0 },
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    { 0, 0, 0, 0,
      "If either %l, %L, or %T are used, any input formula that does "
      "not use LBT-style atomic propositions (i.e. p0, p1, ...) will be "
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      "relabeled automatically.\n"
      "Furthermore, if COMMANDFMT has the form \"{NAME}CMD\", then only CMD "
      "will be passed to the shell, and NAME will be used to name the tool "
      "in the CSV or JSON outputs.", 0 },
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    /**************************************************/
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    { 0, 0, 0, 0, "ltlcross behavior:", 4 },
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    { "allow-dups", OPT_DUPS, 0, 0,
      "translate duplicate formulas in input", 0 },
    { "no-checks", OPT_NOCHECKS, 0, 0,
      "do not perform any sanity checks (negated formulas "
      "will not be translated)", 0 },
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    { "no-complement", OPT_NOCOMP, 0, 0,
      "do not complement deterministic automata to perform extra checks", 0 },
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    { "stop-on-error", OPT_STOP_ERR, 0, 0,
      "stop on first execution error or failure to pass"
      " sanity checks (timeouts are OK)", 0 },
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    /**************************************************/
    { 0, 0, 0, 0, "State-space generation:", 5 },
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    { "states", OPT_STATES, "INT", 0,
      "number of the states in the state-spaces (200 by default)", 0 },
    { "density", OPT_DENSITY, "FLOAT", 0,
      "probability, between 0.0 and 1.0, to add a transition between "
      "two states (0.1 by default)", 0 },
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    { "seed", OPT_SEED, "INT", 0,
      "seed for the random number generator (0 by default)", 0 },
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    { "products", OPT_PRODUCTS, "INT", 0,
      "number of product to perform (1 by default), statistics will be "
      "averaged", 0 },
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    /**************************************************/
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    { 0, 0, 0, 0, "Statistics output:", 6 },
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    { "json", OPT_JSON, "FILENAME", OPTION_ARG_OPTIONAL,
      "output statistics as JSON in FILENAME or on standard output", 0 },
    { "csv", OPT_CSV, "FILENAME", OPTION_ARG_OPTIONAL,
      "output statistics as CSV in FILENAME or on standard output", 0 },
    /**************************************************/
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    { 0, 0, 0, 0, "Miscellaneous options:", -1 },
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    { "color", OPT_COLOR, "WHEN", OPTION_ARG_OPTIONAL,
      "colorize output; WHEN can be 'never', 'always' (the default if "
      "--color is used without argument), or "
      "'auto' (the default if --color is not used)", 0 },
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    { 0, 0, 0, 0, 0, 0 }
  };

const struct argp_child children[] =
  {
    { &finput_argp, 0, 0, 1 },
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    { &misc_argp, 0, 0, -1 },
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    { 0, 0, 0, 0 }
  };

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enum color_type { color_never, color_always, color_if_tty };

static char const *const color_args[] =
{
  "always", "yes", "force",
  "never", "no", "none",
  "auto", "tty", "if-tty", 0
};
static color_type const color_types[] =
{
  color_always, color_always, color_always,
  color_never, color_never, color_never,
  color_if_tty, color_if_tty, color_if_tty
};
ARGMATCH_VERIFY(color_args, color_types);

color_type color_opt = color_if_tty;
const char* bright_red = "\033[01;31m";
const char* bright_white = "\033[01;37m";
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const char* bright_yellow = "\033[01;33m";
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const char* reset_color = "\033[m";

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unsigned states = 200;
float density = 0.1;
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unsigned timeout = 0;
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const char* json_output = 0;
const char* csv_output = 0;
bool want_stats = false;
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bool allow_dups = false;
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bool no_checks = false;
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bool no_complement = false;
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bool stop_on_error = false;
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int seed = 0;
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unsigned products = 1;
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struct translator_spec
{
  // The translator command, as specified on the command-line.
  // If this has the form of
  //    {name}cmd
  // then it is split in two components.
  // Otherwise, spec=cmd=name.
  const char* spec;
  // actual shell command (or spec)
  const char* cmd;
  // name of the translator (or spec)
  const char* name;

  translator_spec(const char* spec)
    : spec(spec), cmd(spec), name(spec)
  {
    if (*cmd != '{')
      return;

    // Match the closing '}'
    const char* pos = cmd;
    unsigned count = 1;
    while (*++pos)
      {
	if (*pos == '{')
	  ++count;
	else if (*pos == '}')
	  if (!--count)
	    {
	      name = strndup(cmd + 1, pos - cmd - 1);
	      cmd = pos + 1;
	      while (*cmd == ' ' || *cmd == '\t')
		++cmd;
	      break;
	    }
      }
  }

  translator_spec(const translator_spec& other)
    : spec(other.spec), cmd(other.cmd), name(other.name)
  {
    if (name != spec)
      name = strdup(name);
  }

  ~translator_spec()
  {
    if (name != spec)
      free(const_cast<char*>(name));
  }
};

std::vector<translator_spec> translators;

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bool global_error_flag = false;

static std::ostream&
global_error()
{
  global_error_flag = true;
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  if (color_opt)
    std::cerr << bright_red;
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  return std::cerr;
}
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static std::ostream&
example()
{
  if (color_opt)
    std::cerr << bright_yellow;
  return std::cerr;
}


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static void
end_error()
{
  if (color_opt)
    std::cerr << reset_color;
}


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struct statistics
{
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  statistics()
    : ok(false),
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      states(0),
      transitions(0),
      acc(0),
      scc(0),
      nonacc_scc(0),
      terminal_scc(0),
      weak_scc(0),
      strong_scc(0),
      nondetstates(0),
      nondeterministic(false),
      terminal_aut(false),
      weak_aut(false),
      strong_aut(false),
      time(0),
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      product_states(0),
      product_transitions(0),
      product_scc(0)
  {
  }

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  bool ok;
  unsigned states;
  unsigned edges;
  unsigned transitions;
  unsigned acc;
  unsigned scc;
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  unsigned nonacc_scc;
  unsigned terminal_scc;
  unsigned weak_scc;
  unsigned strong_scc;
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  unsigned nondetstates;
  bool nondeterministic;
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  bool terminal_aut;
  bool weak_aut;
  bool strong_aut;
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  double time;
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  double product_states;
  double product_transitions;
  double product_scc;
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  static void
  fields(std::ostream& os)
  {
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    os << ("\"states\","
	   "\"edges\","
	   "\"transitions\","
	   "\"acc\","
	   "\"scc\","
	   "\"nonacc_scc\","
	   "\"terminal_scc\","
	   "\"weak_scc\","
	   "\"strong_scc\","
	   "\"nondet_states\","
	   "\"nondet_aut\","
	   "\"terminal_aut\","
	   "\"weak_aut\","
	   "\"strong_aut\","
	   "\"time\","
	   "\"product_states\","
	   "\"product_transitions\","
	   "\"product_scc\"");
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  }

  void
  to_csv(std::ostream& os)
  {
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    os << states << ','
       << edges << ','
       << transitions << ','
       << acc << ','
       << scc << ','
       << nonacc_scc << ','
       << terminal_scc << ','
       << weak_scc << ','
       << strong_scc << ','
       << nondetstates << ','
       << nondeterministic << ','
       << terminal_aut << ','
       << weak_aut << ','
       << strong_aut << ','
       << time << ','
       << product_states << ','
       << product_transitions << ','
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       << product_scc;
  }
};

typedef std::vector<statistics> statistics_formula;
typedef std::vector<statistics_formula> statistics_vector;
statistics_vector vstats;
std::vector<std::string> formulas;

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static int
to_int(const char* s)
{
  char* endptr;
  int res = strtol(s, &endptr, 10);
  if (*endptr)
    error(2, 0, "failed to parse '%s' as an integer.", s);
  return res;
}

static int
to_pos_int(const char* s)
{
  int res = to_int(s);
  if (res < 0)
    error(2, 0, "%d is not positive", res);
  return res;
}

static float
to_float(const char* s)
{
  char* endptr;
  // Do not use strtof(), it does not exist on Solaris 9.
  float res = strtod(s, &endptr);
  if (*endptr)
    error(2, 0, "failed to parse '%s' as a float.", s);
  return res;
}

static float
to_probability(const char* s)
{
  float res = to_float(s);
  if (res < 0.0 || res > 1.0)
    error(2, 0, "%f is not between 0 and 1.", res);
  return res;
}


static int
parse_opt(int key, char* arg, struct argp_state*)
{
  // This switch is alphabetically-ordered.
  switch (key)
    {
    case 't':
    case ARGP_KEY_ARG:
      translators.push_back(arg);
      break;
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    case 'T':
      timeout = to_pos_int(arg);
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#if !ENABLE_TIMEOUT
      std::cerr << "warning: setting a timeout is not supported "
		<< "on your platform" << std::endl;
#endif
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      break;
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    case OPT_COLOR:
      {
	if (arg)
	  color_opt = XARGMATCH("--color", arg, color_args, color_types);
	else
	  color_opt = color_always;
	break;
      }
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    case OPT_CSV:
      want_stats = true;
      csv_output = arg ? arg : "-";
      break;
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    case OPT_DENSITY:
      density = to_probability(arg);
      break;
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    case OPT_DUPS:
      allow_dups = true;
      break;
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    case OPT_JSON:
      want_stats = true;
      json_output = arg ? arg : "-";
      break;
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    case OPT_PRODUCTS:
      products = to_pos_int(arg);
      break;
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    case OPT_NOCHECKS:
      no_checks = true;
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      no_complement = true;
      break;
    case OPT_NOCOMP:
      no_complement = true;
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      break;
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    case OPT_SEED:
      seed = to_pos_int(arg);
      break;
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    case OPT_STATES:
      states = to_pos_int(arg);
      break;
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    case OPT_STOP_ERR:
      stop_on_error = true;
      break;
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    default:
      return ARGP_ERR_UNKNOWN;
    }
  return 0;
}

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static volatile bool timed_out = false;
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unsigned timeout_count = 0;
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#if ENABLE_TIMEOUT
static volatile int alarm_on = 0;
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static int child_pid = -1;

static void
sig_handler(int sig)
{
  if (child_pid == 0)
    error(2, 0, "child received signal %d before starting", sig);

  if (sig == SIGALRM && alarm_on)
    {
      timed_out = true;
      if (--alarm_on)
	{
	  // Send SIGTERM to children.
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	  kill(-child_pid, SIGTERM);
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	  // Try again later if it didn't work.  (alarm() will be reset
	  // if it did work and the call to wait() returns)
	  alarm(2);
	}
      else
	{
	  // After a few gentle tries, really kill that child.
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	  kill(-child_pid, SIGKILL);
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	}
    }
  else
    {
      // forward signal
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      kill(-child_pid, sig);
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      // cleanup files
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      spot::cleanup_tmpfiles();
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      // and die verbosely
      error(2, 0, "received signal %d", sig);
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    }
}

static void
setup_sig_handler()
{
  struct sigaction sa;
  sa.sa_handler = sig_handler;
  sigemptyset(&sa.sa_mask);
  sa.sa_flags = SA_RESTART; // So that wait() doesn't get aborted by SIGALRM.
  sigaction(SIGALRM, &sa, 0);
  // Catch termination signals, so we can kill the subprocess.
  sigaction(SIGHUP, &sa, 0);
  sigaction(SIGINT, &sa, 0);
  sigaction(SIGQUIT, &sa, 0);
  sigaction(SIGTERM, &sa, 0);
}

static int
exec_with_timeout(const char* cmd)
{
  int status;

  timed_out = false;

  child_pid = fork();
  if (child_pid == -1)
    error(2, errno, "failed to fork()");

  if (child_pid == 0)
    {
      setpgid(0, 0);
      execlp("sh", "sh", "-c", cmd, (char*)0);
      error(2, errno, "failed to run 'sh'");
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      // never reached
      return -1;
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    }
  else
    {
      alarm(timeout);
      // Upon SIGALRM, the child will receive up to 3
      // signals: SIGTERM, SIGTERM, SIGKILL.
      alarm_on = 3;
      int w = waitpid(child_pid, &status, 0);
      alarm_on = 0;

      if (w == -1)
	error(2, errno, "error during wait()");

      alarm(0);
    }
  return status;
}
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#else // !ENABLE_TIMEOUT
#define exec_with_timeout(cmd) system(cmd)
#define setup_sig_handler() while (0);
#endif // !ENABLE_TIMEOUT
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namespace
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{
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  struct quoted_string: public spot::printable_value<std::string>
  {
    using spot::printable_value<std::string>::operator=;
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    void
    print(std::ostream& os, const char* pos) const
    {
      os << '\'';
      this->spot::printable_value<std::string>::print(os, pos);
      os << '\'';
    }
  };
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  struct printable_result_filename:
    public spot::printable_value<spot::temporary_file*>
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  {
    unsigned translator_num;
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    enum output_format { None, Spin, Lbtt, Dstar };
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    mutable output_format format;
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    printable_result_filename()
    {
      val_ = 0;
    }

    ~printable_result_filename()
    {
      delete val_;
    }

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    void reset(unsigned n)
    {
      translator_num = n;
      format = None;
    }
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    void cleanup()
    {
      delete val_;
      val_ = 0;
    }

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    void
    print(std::ostream& os, const char* pos) const
    {
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      output_format old_format = format;
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      if (*pos == 'N')
	format = Spin;
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      else if (*pos == 'T')
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	format = Lbtt;
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      else if (*pos == 'D')
	format = Dstar;
      else
	assert(!"BUG");

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      if (val_)
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	{
	  // It's OK to use a specified multiple time, but it's not OK
	  // to mix the formats.
	  if (format != old_format)
	    error(2, 0, "you may not mix %%D, %%N, and %%T specifiers: %s",
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		  translators[translator_num].spec);
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	}
      else
	{
	  char prefix[30];
	  snprintf(prefix, sizeof prefix, "lcr-o%u-", translator_num);
	  const_cast<printable_result_filename*>(this)->val_
	    = spot::create_tmpfile(prefix);
	}
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      os << '\'' << val_ << '\'';
    }
  };
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  class translator_runner: protected spot::formater
  {
  private:
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    spot::bdd_dict& dict;
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    // Round-specific variables
    quoted_string string_ltl_spot;
    quoted_string string_ltl_spin;
    quoted_string string_ltl_lbt;
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    quoted_string string_ltl_wring;
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    quoted_string filename_ltl_spot;
    quoted_string filename_ltl_spin;
    quoted_string filename_ltl_lbt;
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    quoted_string filename_ltl_wring;
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    // Run-specific variables
    printable_result_filename output;
  public:
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    using spot::formater::has;

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    translator_runner(spot::bdd_dict& dict)
      : dict(dict)
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    {
      declare('f', &string_ltl_spot);
      declare('s', &string_ltl_spin);
      declare('l', &string_ltl_lbt);
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      declare('w', &string_ltl_wring);
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      declare('F', &filename_ltl_spot);
      declare('S', &filename_ltl_spin);
      declare('L', &filename_ltl_lbt);
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      declare('W', &filename_ltl_wring);
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      declare('D', &output);
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      declare('N', &output);
      declare('T', &output);

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      std::vector<bool> has(256);
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      size_t s = translators.size();
      assert(s);
      for (size_t n = 0; n < s; ++n)
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	{
	  // Check that each translator uses at least one input and
	  // one output.
	  has.clear();
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	  const translator_spec& t = translators[n];
	  scan(t.cmd, has);
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	  if (!(has['f'] || has['s'] || has['l'] || has['w']
		|| has['F'] || has['S'] || has['L'] || has['W']))
	    error(2, 0, "no input %%-sequence in '%s'.\n       Use "
		  "one of %%f,%%s,%%l,%%w,%%F,%%S,%%L,%%W to indicate how "
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		  "to pass the formula.", t.spec);
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	  if (!(has['D'] || has['N'] || has['T']))
	    error(2, 0, "no output %%-sequence in '%s'.\n      Use one of "
		  "%%D,%%N,%%T to indicate where the automaton is saved.",
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		  t.spec);
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	  // Remember the %-sequences used by all translators.
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	  prime(t.cmd);
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	}
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    }

    void
    string_to_tmp(std::string& str, unsigned n, std::string& tmpname)
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    {
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      char prefix[30];
      snprintf(prefix, sizeof prefix, "lcr-i%u-", n);
      spot::open_temporary_file* tmpfile = spot::create_open_tmpfile(prefix);
      tmpname = tmpfile->name();
      int fd = tmpfile->fd();
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      ssize_t s = str.size();
      if (write(fd, str.c_str(), s) != s
	  || write(fd, "\n", 1) != 1)
	error(2, errno, "failed to write into %s", tmpname.c_str());
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      tmpfile->close();
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    }

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    const std::string&
    formula() const
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    {
      // Pick the most readable format we have...
      if (!string_ltl_spot.val().empty())
	return string_ltl_spot;
      if (!string_ltl_spin.val().empty())
	return string_ltl_spin;
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      if (!string_ltl_wring.val().empty())
	return string_ltl_wring;
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      if (!string_ltl_lbt.val().empty())
	return string_ltl_lbt;
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      assert(!"None of the translators need the input formula?");
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      return string_ltl_spot;
    }

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    void
    round_formula(const spot::ltl::formula* f, unsigned serial)
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    {
      if (has('f') || has('F'))
	string_ltl_spot = spot::ltl::to_string(f, true);
      if (has('s') || has('S'))
	string_ltl_spin = spot::ltl::to_spin_string(f, true);
      if (has('l') || has('L'))
	string_ltl_lbt = spot::ltl::to_lbt_string(f);
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      if (has('w') || has('W'))
	string_ltl_wring = spot::ltl::to_wring_string(f);
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      if (has('F'))
	string_to_tmp(string_ltl_spot, serial, filename_ltl_spot);
      if (has('S'))
	string_to_tmp(string_ltl_spin, serial, filename_ltl_spin);
      if (has('L'))
	string_to_tmp(string_ltl_lbt, serial, filename_ltl_lbt);
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      if (has('W'))
	string_to_tmp(string_ltl_wring, serial, filename_ltl_wring);
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    }

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    const spot::tgba*
    translate(unsigned int translator_num, char l, statistics_formula* fstats)
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    {
      output.reset(translator_num);

      std::ostringstream command;
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      format(command, translators[translator_num].cmd);
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      assert(output.format != printable_result_filename::None);
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      std::string cmd = command.str();
      std::cerr << "Running [" << l << translator_num << "]: "
		<< cmd << std::endl;
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      xtime_t before = gethrxtime();
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      int es = exec_with_timeout(cmd.c_str());
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      xtime_t after = gethrxtime();
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      const spot::tgba* res = 0;
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      if (timed_out)
	{
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	  // This is not considered to be a global error.
	  std::cerr << "warning: timeout during execution of command\n";
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	  ++timeout_count;
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	}
      else if (WIFSIGNALED(es))
	{
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	  global_error() << "error: execution terminated by signal "
			 << WTERMSIG(es) << ".\n";
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	  end_error();
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	}
      else if (WIFEXITED(es) && WEXITSTATUS(es) != 0)
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	{
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	  global_error() << "error: execution returned exit code "
			 << WEXITSTATUS(es) << ".\n";
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	  end_error();
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	}
      else
	{
	  switch (output.format)
	    {
	    case printable_result_filename::Spin:
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	      {
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		spot::neverclaim_parse_error_list pel;
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		std::string filename = output.val()->name();
		res = spot::neverclaim_parse(filename, pel, &dict);
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		if (!pel.empty())
		  {
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		    std::ostream& err = global_error();
		    err << "error: failed to parse the produced neverclaim.\n";
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		    spot::format_neverclaim_parse_errors(err, filename, pel);
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		    end_error();
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		    delete res;
		    res = 0;
		  }
		break;
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	      }
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	    case printable_result_filename::Lbtt:
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	      {
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		std::string error;
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		std::ifstream f(output.val()->name());
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		if (!f)
		  {
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		    global_error() << "Cannot open " << output.val()
				   << std::endl;
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		    end_error();
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		  }
		else
		  {
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		    res = spot::lbtt_parse(f, error, &dict);
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		    if (!res)
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		      {
			global_error() << ("error: failed to parse output in "
					   "LBTT format: ")
				       << error << std::endl;
			end_error();
		      }
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		  }
		break;
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	      }
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	    case printable_result_filename::Dstar:
	      {
		spot::dstar_parse_error_list pel;
		std::string filename = output.val()->name();
		spot::dstar_aut* aut;
		aut = spot::dstar_parse(filename, pel, &dict);
		if (!pel.empty())
		  {
		    std::ostream& err = global_error();
		    err << "error: failed to parse the produced DSTAR"
		      " output.\n";
		    spot::format_dstar_parse_errors(err, filename, pel);
		    end_error();
		    delete aut;
		    res = 0;
		  }
		else
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		  {
		    res = dstar_to_tgba(aut);
		    delete aut;
		  }
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		break;
	      }
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	    case printable_result_filename::None:
	      assert(!"unreachable code");
	    }
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	}
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      // Compute statistics.
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      if (res && want_stats)
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	{
	  statistics* st = &(*fstats)[translator_num];
	  st->ok = true;
	  spot::tgba_sub_statistics s = sub_stats_reachable(res);
	  st->states = s.states;
	  st->edges = s.transitions;
	  st->transitions = s.sub_transitions;
	  st->acc = res->number_of_acceptance_conditions();
	  spot::scc_map m(res);
	  m.build_map();
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	  unsigned c = m.scc_count();
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	  st->scc = m.scc_count();
	  st->nondetstates = spot::count_nondet_states(res);
	  st->nondeterministic = st->nondetstates != 0;
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	  for (unsigned n = 0; n < c; ++n)
	    {
	      if (!m.accepting(n))
		++st->nonacc_scc;
	      else if (is_terminal_scc(m, n))
		++st->terminal_scc;
	      else if (is_weak_scc(m, n))
		++st->weak_scc;
	      else
		++st->strong_scc;
	    }
	  if (st->strong_scc)
	    st->strong_aut = true;
	  else if (st->weak_scc)
	    st->weak_aut = true;
	  else
	    st->terminal_aut = true;
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          double prec = XTIME_PRECISION;
	  st->time = (after - before) / prec;
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	}
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      output.cleanup();
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      return res;
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    }
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  };
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  static void
  check_empty_prod(const spot::tgba* aut_i, const spot::tgba* aut_j,
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		   size_t i, size_t j, bool icomp, bool jcomp)
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  {
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    spot::tgba_product* prod = new spot::tgba_product(aut_i, aut_j);
    spot::emptiness_check* ec = spot::couvreur99(prod);
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    spot::emptiness_check_result* res = ec->check();
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    if (res)
      {
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	std::ostream& err = global_error();
	err << "error: ";
	if (icomp)
	  err << "Comp(N" << i << ")";
	else
	  err << "P" << i;
	if (jcomp)
	  err << "*Comp(P" << j << ")";
	else
	  err << "*N" << j;
	err << " is nonempty";
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	spot::tgba_run* run = res->accepting_run();
	if (run)
	  {
	    const spot::tgba_run* runmin = reduce_run(prod, run);
	    delete run;
	    std::cerr << "; both automata accept the infinite word\n"
		      << "       ";
	    spot::tgba_word w(runmin);
	    w.simplify();
	    w.print(example(), prod->get_dict()) << "\n";
	    delete runmin;
	  }
	else
	  {
	    std::cerr << "\n";
	  }
	end_error();
      }
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    delete res;
    delete ec;
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    delete prod;
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  }

  static void
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  cross_check(const std::vector<spot::scc_map*>& maps, char l, unsigned p)
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  {
    size_t m = maps.size();
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    std::vector<bool> res(m);
    unsigned verified = 0;
    unsigned violated = 0;
    for (size_t i = 0; i < m; ++i)
      if (spot::scc_map* m = maps[i])
	{
	  // r == true iff the automaton i is accepting.
	  bool r = false;
	  unsigned c = m->scc_count();
	  for (unsigned j = 0; (j < c) && !r; ++j)
	    r |= m->accepting(j);
	  res[i] = r;
	  if (r)
	    ++verified;
	  else
	    ++violated;
	}
    if (verified != 0 && violated != 0)
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      {
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	std::ostream& err = global_error();
	err << "error: {";
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	bool first = true;
	for (size_t i = 0; i < m; ++i)
	  if (maps[i] && res[i])
	    {
	      if (first)
		first = false;
	      else
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		err << ',';
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	      err << l << i;
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	    }
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	err << "} disagree with {";
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	first = true;