spot/lbtt/src/BuchiAutomaton.cc
Alexandre Duret-Lutz 3793454864 [lbtt] Fix issues reported by Clang++ 3.1.
* src/Graph.h.in (PathElement::hasEdge): Check the correct
pointer, not the address of some member function.
* src/BuchiAutomaton.cc, src/Configuration.cc,
src/TestOperations.cc, src/TestOperations.h: Recode these files in
utf-8.
2012-07-02 17:35:22 +02:00

880 lines
27 KiB
C++

/* -*- coding: utf-8 -*-
*
* Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005
* Heikki Tauriainen <Heikki.Tauriainen@tkk.fi>
*
* This program 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 2
* of the License, or (at your option) any later version.
*
* This program 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, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#include <config.h>
#include <deque>
#include <stack>
#include <utility>
#include <vector>
#include "BuchiAutomaton.h"
#include "StringUtil.h"
namespace Graph
{
/******************************************************************************
*
* Function definitions for class BuchiAutomaton.
*
*****************************************************************************/
/* ========================================================================= */
BuchiAutomaton::BuchiAutomaton
(const size_type initial_number_of_states, const size_type initstate,
const unsigned long int number_of_accept_sets) :
initial_state(initstate), number_of_acceptance_sets(number_of_accept_sets)
/* ----------------------------------------------------------------------------
*
* Description: Constructor for class BuchiAutomaton. Initializes an
* automaton with a given number of states and a given
* initial state.
*
* Arguments: initial_number_of_states -- Initial size of the automaton
* (can be grown later).
* initstate -- Index of the automaton's
* initial state.
* number_of_accept_sets -- Number of acceptance sets in
* the automaton.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------- */
{
if (initstate >= initial_number_of_states
&& !(initial_number_of_states == 0 && initstate == 0))
throw NodeIndexException();
nodes.reserve(initial_number_of_states);
for (size_type i = 0; i < initial_number_of_states; ++i)
nodes.push_back(new BuchiState(number_of_accept_sets));
}
/* ========================================================================= */
BuchiAutomaton::BuchiAutomaton(const BuchiAutomaton& automaton) :
Graph<GraphEdgeContainer>(),
initial_state(automaton.initial_state),
number_of_acceptance_sets(automaton.number_of_acceptance_sets)
/* ----------------------------------------------------------------------------
*
* Description: Copy constructor for class BuchiAutomaton. Creates a copy of
* a BuchiAutomaton object.
*
* Argument: automaton -- Automaton to be copied.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------- */
{
expand(automaton.size());
for (size_type state = 0; state < size(); ++state)
{
for (GraphEdgeContainer::const_iterator transition
= automaton[state].edges().begin();
transition != automaton[state].edges().end();
++transition)
connect(state,
static_cast<const BuchiTransition*>(*transition)->targetNode(),
static_cast<const BuchiTransition*>(*transition)->guard(),
static_cast<const BuchiTransition*>(*transition)
->acceptanceSets());
operator[](state).acceptanceSets().copy(automaton[state].acceptanceSets(),
number_of_acceptance_sets);
}
}
/* ========================================================================= */
BuchiAutomaton& BuchiAutomaton::operator=(const BuchiAutomaton& automaton)
/* ----------------------------------------------------------------------------
*
* Description: Assignment operator for class BuchiAutomaton. Assigns the
* contents of a BuchiAutomaton to another one.
*
* Argument: automaton -- A constant reference to a BuchiAutomaton whose
* contents are to be copied.
*
* Returns: A reference to the BuchiAutomaton assigned to.
*
* ------------------------------------------------------------------------- */
{
if (&automaton != this)
{
initial_state = automaton.initial_state;
number_of_acceptance_sets = automaton.number_of_acceptance_sets;
clear();
expand(automaton.size());
for (size_type state = 0; state < size(); ++state)
{
for (GraphEdgeContainer::const_iterator transition
= automaton[state].edges().begin();
transition != automaton[state].edges().end();
++transition)
connect(state,
static_cast<const BuchiTransition*>(*transition)->targetNode(),
static_cast<const BuchiTransition*>(*transition)->guard(),
static_cast<const BuchiTransition*>(*transition)
->acceptanceSets());
operator[](state).acceptanceSets().copy
(automaton[state].acceptanceSets(), number_of_acceptance_sets);
}
}
return *this;
}
/* ========================================================================= */
void BuchiAutomaton::clear()
/* ----------------------------------------------------------------------------
*
* Description: Makes the automaton empty.
*
* Arguments: None.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------- */
{
Graph<GraphEdgeContainer>::clear();
initial_state = 0;
number_of_acceptance_sets = 0;
}
/* ========================================================================= */
BuchiAutomaton::size_type BuchiAutomaton::expand(size_type node_count)
/* ----------------------------------------------------------------------------
*
* Description: Inserts a given number of states to a BuchiAutomaton.
*
* Argument: node_count -- Number of states to be inserted.
*
* Returns: The index of the last inserted state.
*
* ------------------------------------------------------------------------- */
{
nodes.reserve(nodes.size() + node_count);
BuchiState* new_buchi_state;
while (node_count > 0)
{
new_buchi_state = new BuchiState(number_of_acceptance_sets);
try
{
nodes.push_back(new_buchi_state);
}
catch (...)
{
delete new_buchi_state;
throw;
}
node_count--;
}
return nodes.size() - 1;
}
/* ========================================================================= */
void BuchiAutomaton::read(istream& input_stream)
/* ----------------------------------------------------------------------------
*
* Description: Reads an automaton description (which may represent a
* generalized Büchi automaton) from a stream and stores it
* into the automaton object.
*
* Argument: input_stream -- A reference to an input stream.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------- */
{
size_type number_of_states, current_state, neighbor_state;
unsigned long int acceptance_set;
Exceptional_istream einput_stream(&input_stream, ios::failbit | ios::badbit);
clear();
try
{
/* Read the number of states in the generalized Büchi automaton. */
einput_stream >> number_of_states;
/* If the automaton is empty, do nothing. */
if (number_of_states == 0)
return;
/*
* Determine the number and placement of acceptance sets.
* (Acceptance sets are described using strings described by the regular
* expression [0-9]+(s|S|t|T)*, where the [0-9]+ part corresponds to the
* number of the sets, and the (s|S|t|T)* part corresponds to the
* placement of the sets -- s or S for states, t or T for transitions.
* To retain compatibility with lbtt 1.0.x, the acceptance set placement
* defaults to acceptance sets on states if is not given explicitly.)
*/
bool acceptance_sets_on_states = false;
bool acceptance_sets_on_transitions = false;
string tok;
einput_stream >> tok;
string::size_type s_pos = string::npos;
string::size_type t_pos = string::npos;
string::size_type pos = tok.find_first_not_of("0123456789");
if (pos == 0)
throw AutomatonParseException
("invalid specification for acceptance sets");
number_of_acceptance_sets = strtoul(tok.substr(0, pos).c_str(), 0, 10);
for ( ; pos < tok.length(); ++pos)
{
if (tok[pos] == 's' || tok[pos] == 'S')
{
s_pos = pos;
acceptance_sets_on_states = true;
}
else if (tok[pos] == 't' || tok[pos] == 'T')
{
t_pos = pos;
acceptance_sets_on_transitions = true;
}
else
throw AutomatonParseException
("invalid specification for acceptance sets");
}
if (s_pos == string::npos && t_pos == string::npos)
{
acceptance_sets_on_states = true;
acceptance_sets_on_transitions = false;
}
BitArray acc_sets(number_of_acceptance_sets);
/*
* Allocate space for the regular Büchi automaton that will be constructed
* from the generalized Büchi automaton.
*/
nodes.reserve(number_of_states);
for (size_type i = 0; i < number_of_states; ++i)
nodes.push_back(new BuchiState(number_of_acceptance_sets));
/*
* The automaton state numbers will be mapped from input file identifiers
* to the interval [0...(number of states - 1)].
*/
map<long int, size_type> state_number_map;
pair<long int, size_type> state_mapping(0, 0);
pair<map<long int, size_type>::const_iterator, bool> state_finder;
/*
* Also the acceptance set numbers will be mapped to the interval
* [0...(number of acceptance sets - 1)].
*/
map<long int, unsigned long int> acceptance_set_map;
pair<long int, unsigned long int> acceptance_set_mapping(0, 0);
pair<map<long int, unsigned long int>::const_iterator, bool>
acceptance_set_finder;
/*
* A bit array is used to keep information about states which have been
* processed. (This is used to verify that each state is defined exactly
* once in the input.)
*/
BitArray processed_states(number_of_states);
processed_states.clear(number_of_states);
unsigned long int number_of_processed_states = 0;
bool initial_state_fixed = false; /* will be set to true after */
/* processing the initial state */
/* of the automaton */
int is_initial;
::Ltl::LtlFormula* guard;
for (size_type i = 0; i < number_of_states; ++i)
{
/*
* Begin processing a new state by reading a state id from the stream.
*/
einput_stream >> state_mapping.first;
/*
* Try to insert a new state mapping into the state identifier map.
* If an insertion actually occurs (there is no element in the map with
* key equal to `state_mapping.first'), increment the state counter. In
* any case, set the value of `current_state' to the map value.
* (Note: It is an error to redefine a state that has already been
* processed.)
*/
state_finder = state_number_map.insert(state_mapping);
if (!state_finder.second) /* no insertion occurred */
{
current_state = (state_finder.first)->second;
if (processed_states[current_state])
throw AutomatonParseException("state redefinition encountered");
}
else
{
if (state_mapping.second >= number_of_states)
throw AutomatonParseException("number of different state "
"identifiers does not match the size"
" of the Büchi automaton");
current_state = state_mapping.second;
state_mapping.second++;
}
/*
* Check whether the current state is an initial state. (There must be
* exactly one initial state.)
*/
einput_stream >> is_initial;
if (is_initial != 0)
{
if (!initial_state_fixed)
{
initial_state = current_state;
initial_state_fixed = true;
}
else
throw AutomatonParseException("multiple initial state definitions");
}
/*
* Determine which acceptance sets the current state belongs to.
* The numbers of the acceptance sets are mapped to the proper
* interval, again by introducing mappings for acceptance set numbers
* whenever necessary.
*/
operator[](current_state).acceptanceSets().clear
(number_of_acceptance_sets);
if (acceptance_sets_on_states)
{
while (1)
{
einput_stream >> acceptance_set_mapping.first;
if (acceptance_set_mapping.first == -1)
break;
acceptance_set_finder =
acceptance_set_map.insert(acceptance_set_mapping);
if (!acceptance_set_finder.second)
acceptance_set = (acceptance_set_finder.first)->second;
else
{
if (acceptance_set_mapping.second >= number_of_acceptance_sets)
throw AutomatonParseException("number of acceptance sets "
"does not match automaton state "
"definitions");
acceptance_set = acceptance_set_mapping.second;
++acceptance_set_mapping.second;
}
operator[](current_state).acceptanceSets().setBit(acceptance_set);
}
}
/*
* Process the transitions from the state to other states. Read a
* target state id and add a mapping for it in the translation table if
* necessary. If the automaton is allowed to have acceptance sets
* associated with transitions, read an additional list of acceptance
* sets. Finally, read the propositional formula guarding the
* transition and connect the current state to the target using the
* guard formula.
*/
while (1)
{
einput_stream >> state_mapping.first;
if (state_mapping.first == -1)
break;
state_finder = state_number_map.insert(state_mapping);
if (!state_finder.second)
neighbor_state = (state_finder.first)->second;
else
{
if (state_mapping.second >= number_of_states)
throw AutomatonParseException("number of different state "
"identifiers does not match the size"
" of the Büchi automaton");
neighbor_state = state_mapping.second;
state_mapping.second++;
}
acc_sets.clear(number_of_acceptance_sets);
/*
* If automata with acceptance sets on transitions are accepted, read
* the acceptance sets associated with the transition.
*/
if (acceptance_sets_on_transitions)
{
while (1)
{
einput_stream >> acceptance_set_mapping.first;
if (acceptance_set_mapping.first == -1)
break;
acceptance_set_finder =
acceptance_set_map.insert(acceptance_set_mapping);
if (!acceptance_set_finder.second)
acceptance_set = (acceptance_set_finder.first)->second;
else
{
if (acceptance_set_mapping.second >= number_of_acceptance_sets)
throw AutomatonParseException("number of acceptance sets "
"does not match automaton state "
"definitions");
acceptance_set = acceptance_set_mapping.second;
++acceptance_set_mapping.second;
}
acc_sets.setBit(acceptance_set);
}
}
try
{
guard = ::Ltl::LtlFormula::read(input_stream);
}
catch (const ::Ltl::LtlFormula::ParseErrorException& e)
{
throw AutomatonParseException(e.what());
}
if (!guard->propositional())
{
::Ltl::LtlFormula::destruct(guard);
throw AutomatonParseException("illegal operators in guard formula");
}
connect(current_state, neighbor_state, guard, acc_sets);
}
processed_states.setBit(current_state);
++number_of_processed_states;
}
if (!initial_state_fixed)
throw AutomatonParseException("no initial state specified");
if (number_of_processed_states != number_of_states)
throw AutomatonParseException("incomplete automaton definition");
}
catch (const IOException& e)
{
clear();
if (input_stream.eof())
throw AutomatonParseException("unexpected end of input");
else
throw;
}
catch (...)
{
clear();
throw;
}
}
/* ========================================================================= */
void BuchiAutomaton::print
(ostream& stream, const int indent, const GraphOutputFormat fmt) const
/* ----------------------------------------------------------------------------
*
* Description: Writes information about a BuchiAutomaton to a stream.
*
* Arguments: stream -- A reference to an output stream.
* indent -- Number of spaces to leave to the left of output.
* fmt -- Determines the format of the output.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------- */
{
Exceptional_ostream estream(&stream, ios::failbit | ios::badbit);
if (fmt == DOT)
estream << string(indent, ' ') + "digraph G {\n";
if (nodes.empty())
{
if (fmt == NORMAL)
estream << string(indent, ' ') + "The Büchi automaton is empty.\n";
}
else
{
if (fmt == NORMAL)
{
pair<size_type, unsigned long int> statistics = stats();
pair<size_type, unsigned long int> reachable_part_statistics
= subgraphStats(initial_state);
estream << string(indent, ' ') + "The Büchi automaton consists of\n"
+ string(indent + 4, ' ')
<< statistics.first
<< " states and\n" + string(indent + 4, ' ')
<< statistics.second
<< " transitions.\n" + string(indent, ' ')
+ "The automaton has "
<< number_of_acceptance_sets
<< " acceptance sets.\n" + string(indent, ' ')
+ "The reachable part of the automaton contains\n"
+ string(indent + 4, ' ')
<< reachable_part_statistics.first
<< " states and\n" + string(indent + 4, ' ')
<< reachable_part_statistics.second
<< " transitions.\n" + string(indent, ' ') + "Initial state: "
<< initial_state
<< '\n';
}
else if (fmt == DOT)
{
estream << string(indent, ' ') + " init [style=invis];\n"
+ string(indent, ' ') + " init->n"
<< initial_state
<< ";\n";
}
size_type s = nodes.size();
for (size_type state = 0; state < s; ++state)
{
estream << string(indent, ' ');
if (fmt == NORMAL)
{
estream << "State " << state << ":\n";
operator[](state).print(stream, indent + 4, NORMAL,
number_of_acceptance_sets);
}
else if (fmt == DOT)
{
GraphEdgeContainer::const_iterator transition;
bool first_printed = false;
estream << " n"
<< state
<< string(" [shape=circle,label=\"")
<< state
<< "\\n{";
for (unsigned long int accept_set = 0;
accept_set < number_of_acceptance_sets;
accept_set++)
{
if (operator[](state).acceptanceSets().test(accept_set))
{
if (first_printed)
estream << ',';
else
first_printed = true;
estream << accept_set;
}
}
estream << "}\",fontsize=12];\n";
for (transition = nodes[state]->edges().begin();
transition != nodes[state]->edges().end();
++transition)
{
estream << string(indent + 2, ' ') + 'n' << state;
static_cast<const BuchiTransition*>(*transition)
->print(stream, indent, fmt, number_of_acceptance_sets);
estream << ";\n";
}
}
}
}
if (fmt == DOT)
estream << string(indent, ' ') + "}\n";
estream.flush();
}
/* ========================================================================= */
bool BuchiAutomaton::BuchiState::isDeterministic() const
/* ----------------------------------------------------------------------------
*
* Description: Checks whether there is any nondeterminism
* on the outgoing transitions.
*
* Arguments: None.
*
* Returns: True iff the state is deterministic.
*
* ------------------------------------------------------------------------- */
{
size_type size = edges().size();
if (size <= 1)
return true;
for (int i = 0; i < size - 1; i++)
{
for (int j = i + 1; j < size; j++)
{
Ltl::LtlFormula *f =
&Ltl::And::construct((static_cast<BuchiTransition*> (edges()[i]))->guard(),
(static_cast<BuchiTransition*> (edges()[j]))->guard());
if (f->satisfiable())
{
Ltl::LtlFormula::destruct(f);
return false;
}
else
{
Ltl::LtlFormula::destruct(f);
}
}
}
return true;
}
/* ========================================================================= */
bool BuchiAutomaton::isDeterministic() const
/* ----------------------------------------------------------------------------
*
* Description: Checks whether the automaton is deterministic.
*
* Arguments: None.
*
* Returns: True iff the automaton is deterministic.
*
* ------------------------------------------------------------------------- */
{
unsigned long int index = 0;
vector<Node*>::const_iterator node;
for (node = nodes.begin(); node != nodes.end(); ++node)
if (!(static_cast<BuchiState*>(*node))->isDeterministic())
return false;
return true;
}
/* ========================================================================= */
unsigned long int BuchiAutomaton::nondeterminismIndex() const
/* ----------------------------------------------------------------------------
*
* Description: Computes the nondeterminism index for the automaton.
* I.e., the number for nondeterministic states.
*
* Arguments: None.
*
* Returns: Nondeterminism index.
*
* ------------------------------------------------------------------------- */
{
unsigned long int index = 0;
vector<Node*>::const_iterator node;
for (node = nodes.begin(); node != nodes.end(); ++node)
if (!(static_cast<BuchiState*>(*node))->isDeterministic())
index++;
return index;
}
/******************************************************************************
*
* Function definitions for class BuchiAutomaton::BuchiTransition.
*
*****************************************************************************/
/* ========================================================================= */
void BuchiAutomaton::BuchiTransition::print
(ostream& stream, const int indent, const GraphOutputFormat fmt,
const unsigned long int number_of_acceptance_sets) const
/* ----------------------------------------------------------------------------
*
* Description: Writes information about a transition between two states of
* a Büchi automaton.
*
* Arguments: stream -- A reference to an output
* stream.
* indent -- Number of spaces to leave to
* the left of output.
* fmt -- Determines the format of
* output.
* number_of_acceptance_sets -- Number of acceptance sets in
* the automaton to which the
* transition belongs.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------- */
{
Exceptional_ostream estream(&stream, ios::failbit | ios::badbit);
if (fmt == NORMAL)
estream << string(indent, ' ') + "Transition to state "
<< targetNode()
<< " [ acc.: ";
else if (fmt == DOT)
{
string formula(StringUtil::toString(*guard_formula));
estream << " -> n" << targetNode() << " [label=\"";
for (unsigned long int i = 0; i < formula.length(); ++i)
{
if (formula[i] == '/')
{
estream << "&&";
i++;
}
else if (formula[i] == '\\')
{
estream << "||";
i++;
}
else
estream << formula[i];
}
estream << "\\n";
}
estream << '{';
bool first_printed = false;
for (unsigned long int accept_set = 0;
accept_set < number_of_acceptance_sets;
++accept_set)
{
if (acceptance_sets[accept_set])
{
if (first_printed)
estream << ", ";
else
first_printed = true;
estream << accept_set;
}
}
estream << '}';
if (fmt == NORMAL)
estream << ", guard: " << *guard_formula << " ]\n";
else if (fmt == DOT)
estream << "\",fontsize=10,fontname=\"Courier-Bold\"]";
estream.flush();
}
/******************************************************************************
*
* Function definitions for class BuchiAutomaton::BuchiState.
*
*****************************************************************************/
/* ========================================================================= */
void BuchiAutomaton::BuchiState::print
(ostream& stream, const int indent, const GraphOutputFormat fmt,
const unsigned long int number_of_acceptance_sets) const
/* ----------------------------------------------------------------------------
*
* Description: Writes information about a state of a Büchi automaton.
*
* Arguments: stream -- A reference to an output
* stream.
* indent -- Number of spaces to leave to
* the left of output.
* fmt -- Determines the output format
* of the state.
* number_of_acceptance_sets -- Number of acceptance sets in
* the automaton in which the
* state belongs.
*
* Returns: Nothing.
*
* ------------------------------------------------------------------------ */
{
if (fmt == DOT)
return;
Exceptional_ostream estream(&stream, ios::failbit | ios::badbit);
estream << string(indent, ' ') + "Member of acceptance sets {";
bool first_printed = false;
for (unsigned long int accept_set = 0;
accept_set < number_of_acceptance_sets;
++accept_set)
{
if (acceptance_sets[accept_set])
{
if (first_printed)
estream << ", ";
else
first_printed = true;
estream << accept_set;
}
}
estream << "}\n";
if (!edges().empty())
{
GraphEdgeContainer::const_iterator edge;
for (edge = edges().begin(); edge != edges().end(); ++edge)
static_cast<const BuchiAutomaton::BuchiTransition*>(*edge)
->print(stream, indent, fmt, number_of_acceptance_sets);
} else
estream << string(indent, ' ') + "No transitions to other states.\n";
estream.flush();
}
}