ltlcross.cc 34.6 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 "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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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 "
      "relabeled automatically.", 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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    { "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 stop_on_error = false;
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int seed = 0;
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unsigned products = 1;
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std::vector<char*> 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\","
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	   " \"nonacc_scc\","
	   " \"terminal_scc\","
	   " \"weak_scc\","
	   " \"strong_scc\","
	   " \"nondet_states\","
	   " \"nondet_aut\","
	   " \"terminal_aut\","
	   " \"weak_aut\","
	   " \"strong_aut\","
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	   " \"time\","
	   " \"product_states\","
	   " \"product_transitions\","
	   " \"product_scc\"");
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  }

  void
  to_csv(std::ostream& os)
  {
    os << states << ", "
       << edges << ", "
       << transitions << ", "
       << acc << ", "
       << scc << ", "
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       << nonacc_scc << ", "
       << terminal_scc << ", "
       << weak_scc << ", "
       << strong_scc << ", "
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       << nondetstates << ", "
       << nondeterministic << ", "
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       << terminal_aut << ", "
       << weak_aut << ", "
       << strong_aut << ", "
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       << time << ", "
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       << product_states << ", "
       << product_transitions << ", "
       << 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;
      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
    {
      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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	error(2, 0, "you may have only one %%D, %%N, or %%T specifier: %s",
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	      translators[translator_num]);
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      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();
	  scan(translators[n], has);
	  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 "
		  "to pass the formula.", translators[n]);
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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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		  translators[n]);

	  // Remember the %-sequences used by all translators.
	  prime(translators[n]);
	}
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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;
      format(command, translators[translator_num]);
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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;
		  }
		if (aut->type == spot::Rabin)
		  res = spot::nra_to_nba(aut);
		else
		  res = spot::nsa_to_tgba(aut);
		delete aut;
		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,
		   size_t i, size_t j)
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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)
      {
	global_error() << "error: P" << i << "*N" << j
		       << " is nonempty";

	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 << ",";
	      err << l << i;
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	    }
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	err << "} disagree with {";
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	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 << ",";
	      err << l << i;
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	    }
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	err << "} when evaluating ";
	if (products > 1)
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	  err << "state-space #" << p << "/" << products << "\n";
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	else
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	  err << "the state-space\n";
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	end_error();
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      }
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  }
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  typedef std::set<spot::state*, spot::state_ptr_less_than> state_set;
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  // Collect all the states of SSPACE that appear in the accepting SCCs
  // of PROD.
  static void
  states_in_acc(const spot::scc_map* m, const spot::tgba* sspace,
		state_set& s)
  {
    const spot::tgba* aut = m->get_aut();
    unsigned c = m->scc_count();
    for (unsigned n = 0; n < c; ++n)
      if (m->accepting(n))
	{
	  const std::list<const spot::state*>& l = m->states_of(n);
	  for (std::list<const spot::state*>::const_iterator i = l.begin();
	       i != l.end(); ++i)
	    {
	      spot::state* x = aut->project_state(*i, sspace);
	      if (!s.insert(x).second)
		x->destroy();
	    }
	}
  }
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  static bool
  consistency_check(const spot::scc_map* pos, const spot::scc_map* neg,
		    const spot::tgba* sspace)
  {
    // the states of SSPACE should appear in the accepting SCC of at
    // least one of POS or NEG.  Maybe both.
    state_set s;
    states_in_acc(pos, sspace, s);
    states_in_acc(neg, sspace, s);
    bool res = s.size() == states;
    state_set::iterator it;
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    for (it = s.begin(); it != s.end(); ++it)
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      (*it)->destroy();
    return res;
  }
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  typedef
  Sgi::hash_set<const spot::ltl::formula*,
		const spot::ptr_hash<const spot::ltl::formula> > fset_t;


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  class processor: public job_processor
  {
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    spot::bdd_dict dict;
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    translator_runner runner;
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    fset_t unique_set;
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  public:
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    processor()
      : runner(dict)
    {
    }

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    ~processor()
    {
      fset_t::iterator i = unique_set.begin();
      while (i != unique_set.end())
	(*i++)->destroy();
    }

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    int
    process_formula(const spot::ltl::formula* f,
		    const char* filename = 0, int linenum = 0)
    {
      (void) filename;
      (void) linenum;
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      static unsigned round = 0;
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      // If we need LBT atomic proposition in any of the input or
      // output, relabel the formula.
      if (!f->has_lbt_atomic_props() &&
	  (runner.has('l') || runner.has('L') || runner.has('T')))
	{
	  const spot::ltl::formula* g = spot::ltl::relabel(f, spot::ltl::Pnn);
	  f->destroy();
	  f = g;
	}

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      // ---------- Positive Formula ----------

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      runner.round_formula(f, round);
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      // Call formula() before printing anything else, in case it
      // complains.
      std::string fstr = runner.formula();
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      if (filename)
	std::cerr << filename << ":";
      if (linenum)
	std::cerr << linenum << ":";
      if (filename || linenum)
	std::cerr << " ";
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      if (color_opt)
	std::cerr << bright_white;
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      std::cerr << fstr << "\n";
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      if (color_opt)
	std::cerr << reset_color;
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      // Make sure we do not translate the same formula twice.
      if (!allow_dups)
	{
	  if (unique_set.insert(f).second)
	    {
	      f->clone();
	    }
	  else
	    {
	      std::cerr
		<< ("warning: This formula or its negation has already"
		    " been checked.\n         Use --allow-dups if it "
		    "should not be ignored.\n")
		<< std::endl;
	      f->destroy();
	      return 0;
	    }
	}

      size_t m = translators.size();
      std::vector<const spot::tgba*> pos(m);
      std::vector<const spot::tgba*> neg(m);

      unsigned n = vstats.size();
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      statistics_formula* pstats = &vstats[n];
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      statistics_formula* nstats = 0;
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      pstats->resize(m);
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      formulas.push_back(fstr);

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      for (size_t n = 0; n < m; ++n)
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	pos[n] = runner.translate(n, 'P', pstats);

      // ---------- Negative Formula ----------
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      // The negative formula is only needed when checks are
      // activated.
      if (!no_checks)
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	{
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	  nstats = &vstats[n + 1];
	  nstats->resize(m);
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	  const spot::ltl::formula* nf =
	    spot::ltl::unop::instance(spot::ltl::unop::Not, f->clone());
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	  if (!allow_dups)
	    {
	      bool res = unique_set.insert(nf->clone()).second;
	      // It is not possible to discover that nf has already been
	      // translated, otherwise that would mean that f had been
	      // translated too and we would have caught it before.
	      assert(res);
	      (void) res;
	    }
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	  runner.round_formula(nf, round);
	  formulas.push_back(runner.formula());
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	  for (size_t n = 0; n < m; ++n)
	    neg[n] = runner.translate(n, 'N', nstats);
	  nf->destroy();
	}
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      spot::cleanup_tmpfiles();
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      ++round;
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      if (!no_checks)
	{
	  std::cerr << "Performing sanity checks and gathering statistics..."
		    << std::endl;

	  // intersection test
	  for (size_t i = 0; i < m; ++i)
	    if (pos[i])
	      for (size_t j = 0; j < m; ++j)
		if (neg[j])
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		  check_empty_prod(pos[i], neg[j], i, j);
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	}
      else
	{
	  std::cerr << "Gathering statistics..." << std::endl;
	}
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      spot::ltl::atomic_prop_set* ap = spot::ltl::atomic_prop_collect(f);
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      f->destroy();
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      for (unsigned p = 0; p < products; ++p)
	{
	  // build a random state-space.
	  spot::srand(seed);
	  spot::tgba* statespace = spot::random_graph(states, density,
						      ap, &dict);

	  // Products of the state space with the positive automata.
	  std::vector<spot::tgba*> pos_prod(m);
	  // Products of the state space with the negative automata.
	  std::vector<spot::tgba*> neg_prod(m);
	  // Associated SCC maps.
	  std::vector<spot::scc_map*> pos_map(m);
	  std::vector<spot::scc_map*> neg_map(m);
	  for (size_t i = 0; i < m; ++i)
	    if (pos[i])
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	      {
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		spot::tgba* p = new spot::tgba_product(pos[i], statespace);
		pos_prod[i] = p;
		spot::scc_map* sm = new spot::scc_map(p);
		sm->build_map();
		pos_map[i] = sm;

		// Statistics
		if (want_stats)
		  {
		    (*pstats)[i].product_scc += sm->scc_count();
		    spot::tgba_statistics s = spot::stats_reachable(p);
		    (*pstats)[i].product_states += s.states;
		    (*pstats)[i].product_transitions += s.transitions;
		  }
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	      }
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	  if (!no_checks)
	    for (size_t i = 0; i < m; ++i)
	      if (neg[i])
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		{
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		  spot::tgba* p = new spot::tgba_product(neg[i], statespace);
		  neg_prod[i] = p;
		  spot::scc_map* sm = new spot::scc_map(p);
		  sm->build_map();
		  neg_map[i] = sm;

		  // Statistics
		  if (want_stats)
		    {
		      (*nstats)[i].product_scc += sm->scc_count();
		      spot::tgba_statistics s = spot::stats_reachable(p);
		      (*nstats)[i].product_states += s.states;
		      (*nstats)[i].product_transitions += s.transitions;
		    }
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		}
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	  if (!no_checks)
	    {
	      // cross-comparison test
	      cross_check(pos_map, 'P', p);
	      cross_check(neg_map, 'N', p);

	      // consistency check
	      for (size_t i = 0; i < m; ++i)
		if (pos_map[i] && neg_map[i] &&
		    !(consistency_check(pos_map[i], neg_map[i], statespace)))
		  {
1185
1186
1187
		    std::ostream& err = global_error();
		    err << "error: inconsistency between P" << i
			<< " and N" << i;
1188
		    if (products > 1)
1189
1190
		      err << " for state-space #" << p
			  << "/" << products << "\n";
1191
		    else
1192
1193
		      err << "\n";
		    end_error();
1194
		  }
1195
	    }
1196

1197
	  // Cleanup.
1198

1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
	  if (!no_checks)
	    for (size_t i = 0; i < m; ++i)
	      {
		delete neg_map[i];
		delete neg_prod[i];
		if (want_stats)
		  {
		    (*nstats)[i].product_scc /= products;
		    (*nstats)[i].product_states /= products;
		    (*nstats)[i].product_transitions /= products;
		  }
	      }
1211
	  for (size_t i = 0; i < m; ++i)
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
	    {
	      delete pos_map[i];
	      delete pos_prod[i];
	      if (want_stats)
		{
		  (*pstats)[i].product_scc /= products;
		  (*pstats)[i].product_states /= products;
		  (*pstats)[i].product_transitions /= products;
		}
	    }
	  delete statespace;
	  ++seed;
1224
	}
1225
1226
      std::cerr << std::endl;
      delete ap;
1227

1228
      if (!no_checks)
1229
1230
1231
1232
	for (size_t i = 0; i < m; ++i)
	  delete neg[i];
      for (size_t i = 0; i < m; ++i)
	delete pos[i];
1233
1234
1235

      // Shall we stop processing formulas now?
      abort_run = global_error_flag && stop_on_error;
1236
1237
1238
1239
1240
      return 0;
    }
  };
}

1241
static void
1242
print_stats_csv(const char* filename)
1243
{
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
  std::ofstream* outfile = 0;
  std::ostream* out;
  if (!strncmp(filename, "-", 2))
    {
      out = &std::cout;
    }
  else
    {
      out = outfile = new std::ofstream(filename);
      if (!outfile)
	error(2, errno, "cannot open '%s'", filename);
    }

  unsigned ntrans = translators.size();
1258
  unsigned rounds = vstats.size();
1259
  assert(rounds == formulas.size());
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294

  *out << "\"formula\", \"tool\", ";
  statistics::fields(*out);
  *out << "\n";
  for (unsigned r = 0; r < rounds; ++r)
    for (unsigned t = 0; t < ntrans; ++t)
      if (vstats[r][t].ok)
	{
	  *out << "\"";
	  spot::escape_str(*out, formulas[r]);