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// Author(s): Muck van Weerdenburg
// Copyright: see the accompanying file COPYING or copy at
// https://svn.win.tue.nl/trac/MCRL2/browser/trunk/COPYING
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
/// \file jitty.cpp
#include "mcrl2/data/detail/rewrite/jitty.h"
#include "mcrl2/data/detail/rewrite/jitty_jittyc.h"
#define NAME std::string("rewr_jitty")
#include <algorithm>
#include <cstdlib>
#include <cstring>
#include <cassert>
#include <stdexcept>
#include <iostream>
#include "boost/config.hpp"
#include "mcrl2/utilities/detail/memory_utility.h"
#include "mcrl2/utilities/exception.h"
#include "mcrl2/core/detail/function_symbols.h"
#include "mcrl2/data/substitutions/mutable_map_substitution.h"
#include "mcrl2/data/replace.h"
#ifdef MCRL2_DISPLAY_REWRITE_STATISTICS
#include "mcrl2/data/detail/rewrite_statistics.h"
#endif
using namespace mcrl2::log;
using namespace mcrl2::core;
using namespace mcrl2::core::detail;
namespace mcrl2
{
namespace data
{
namespace detail
{
atermpp::aterm_list RewriterJitty::create_strategy(const data_equation_list& rules1)
{
atermpp::aterm_list rules;
for(data_equation_list::const_iterator j=rules1.begin(); j!=rules1.end(); ++j)
{
const atermpp::aterm list_representing_rewrite_rule=atermpp::make_list<atermpp::aterm>(
atermpp::down_cast<atermpp::aterm_list>(j->variables()),
j->condition(),
j->lhs(),
j->rhs());
rules.push_front(list_representing_rewrite_rule);
}
rules = reverse(rules);
atermpp::aterm_list strat;
std::vector <bool> used;
size_t arity = 0;
while (!rules.empty())
{
atermpp::aterm_list l;
atermpp::aterm_list m;
std::vector<int> args(arity,-1);
for (; !rules.empty(); rules.pop_front())
{
const atermpp::aterm_list& this_rule = atermpp::down_cast<atermpp::aterm_list>(rules.front());
const data_expression& this_rule_lhs = atermpp::down_cast<data_expression>(element_at(this_rule,2));
if ((is_function_symbol(this_rule_lhs)?1:detail::recursive_number_of_args(this_rule_lhs)+1) == arity + 1)
{
const data_expression& cond = atermpp::down_cast<data_expression>(element_at(this_rule,1));
atermpp::term_list <variable_list> vars = atermpp::make_list<variable_list>(get_vars(cond));
std::vector < bool> bs(arity,false);
for (size_t i = 0; i < arity; i++)
{
const data_expression this_rule_lhs_iplus1_arg=detail::get_argument_of_higher_order_term(this_rule_lhs,i);
if (!is_variable(this_rule_lhs_iplus1_arg))
{
bs[i] = true;
const variable_list evars = get_vars(this_rule_lhs_iplus1_arg);
for (variable_list::const_iterator v=evars.begin(); v!=evars.end(); ++v)
{
int j=0;
const atermpp::term_list <variable_list> next_vars=vars.tail();
for (atermpp::term_list <variable_list>::const_iterator o=next_vars.begin(); o!=next_vars.end(); ++o)
{
if (std::find(o->begin(),o->end(),*v) != o->end())
{
bs[j] = true;
}
j++;
}
}
vars=push_back(vars,get_vars(this_rule_lhs_iplus1_arg));
}
else
{
int j = -1;
bool b = false;
for (atermpp::term_list <variable_list>::const_iterator o=vars.begin(); o!=vars.end(); ++o)
{
if (std::find(o->begin(),o->end(),variable(this_rule_lhs_iplus1_arg)) != o->end())
{
if (j >= 0)
{
bs[j] = true;
}
b = true;
}
j++;
}
if (b)
{
bs[i] = true;
}
vars=push_back(vars,get_vars(this_rule_lhs_iplus1_arg));
}
}
atermpp::aterm_list deps;
for (size_t i = 0; i < arity; i++)
{
if (i>=used.size())
{
used.resize(i+1,false);
}
if (bs[i] && !used[i])
{
deps.push_front(atermpp::aterm_int(i));
args[i] += 1;
}
}
deps = reverse(deps);
m.push_front(atermpp::make_list<atermpp::aterm>(deps,rules.front()));
}
else
{
l.push_front(rules.front());
}
}
while (!m.empty())
{
atermpp::aterm_list m2;
for (; !m.empty(); m.pop_front())
{
if (atermpp::down_cast<const atermpp::aterm_list>((atermpp::down_cast<const atermpp::aterm_list>(m.front())).front()).empty())
{
atermpp::aterm rule = atermpp::down_cast<const atermpp::aterm_list>(m.front()).tail().front();
strat.push_front(rule);
size_t len = atermpp::down_cast<const atermpp::aterm_list>(atermpp::down_cast<const atermpp::aterm_list>(rule).front()).size();
if (len>MAX_LEN)
{
MAX_LEN=len;
}
}
else
{
m2.push_front(m.front());
}
}
m = reverse(m2);
if (m.empty())
{
break;
}
int max = -1;
size_t maxidx = 0;
for (size_t i = 0; i < arity; i++)
{
assert(i<((size_t)1)<<(8*sizeof(int)-1));
if (args[i] > max)
{
maxidx = i+1;
max = args[i];
}
}
if (maxidx > 0)
{
args[maxidx-1] = -1;
if (maxidx>used.size())
{
used.resize(maxidx,false);
}
used[maxidx-1] = true;
atermpp::aterm_int k(maxidx-1);
strat.push_front(k);
m2 = atermpp::aterm_list();
for (; !m.empty(); m.pop_front())
{
atermpp::aterm_list temp=atermpp::down_cast<const atermpp::aterm_list>(m.front()).tail();
temp.push_front(atermpp::remove_one_element<atermpp::aterm>(atermpp::down_cast<const atermpp::aterm_list>((atermpp::down_cast<const atermpp::aterm_list>(m.front())).front()), k));
m2.push_front(temp);
}
m = reverse(m2);
}
}
rules = reverse(l);
arity++;
}
return reverse(strat);
}
void RewriterJitty::make_jitty_strat_sufficiently_larger(const size_t i)
{
if (i>=jitty_strat.size())
{
jitty_strat.resize(i+1);
}
}
void RewriterJitty::rebuild_strategy()
{
jitty_strat.clear();
for(std::map< function_symbol, data_equation_list >::const_iterator l=jitty_eqns.begin(); l!=jitty_eqns.end(); ++l)
{
const size_t i=core::index_traits<data::function_symbol, function_symbol_key_type, 2>::index(l->first);
make_jitty_strat_sufficiently_larger(i);
jitty_strat[i] = create_strategy(reverse(l->second));
}
}
RewriterJitty::RewriterJitty(
const data_specification& data_spec,
const mcrl2::data::used_data_equation_selector& equation_selector):
Rewriter(data_spec,equation_selector)
{
MAX_LEN=0;
max_vars = 0;
const std::vector< data_equation >& l = data_spec.equations();
for (std::vector< data_equation >::const_iterator j=l.begin(); j!=l.end(); ++j)
{
if (equation_selector(*j))
{
try
{
CheckRewriteRule(*j);
}
catch (std::runtime_error& e)
{
mCRL2log(warning) << e.what() << std::endl;
continue;
}
const function_symbol lhs_head_index=get_function_symbol_of_head(j->lhs());
data_equation_list n;
std::map< function_symbol, data_equation_list >::iterator it = jitty_eqns.find(lhs_head_index);
if (it != jitty_eqns.end())
{
n = it->second;
}
if (j->variables().size() > max_vars)
{
max_vars = j->variables().size();
}
n.push_front(*j);
jitty_eqns[lhs_head_index] = n;
}
}
rebuild_strategy();
}
RewriterJitty::~RewriterJitty()
{
}
static data_expression subst_values(
atermpp::detail::_aterm** vars,
atermpp::detail::_aterm** terms,
const size_t assignment_size,
const data_expression& t,
data::set_identifier_generator& generator); // prototype; */
class subst_values_argument
{
private:
atermpp::detail::_aterm** m_vars;
atermpp::detail::_aterm** m_terms;
const size_t m_assignment_size;
data::set_identifier_generator& m_generator;
public:
subst_values_argument(atermpp::detail::_aterm** vars,
atermpp::detail::_aterm** terms,
const size_t assignment_size,
data::set_identifier_generator& generator)
: m_vars(vars), m_terms(terms), m_assignment_size(assignment_size), m_generator(generator)
{}
data_expression operator()(const data_expression& t) const
{
return subst_values(m_vars,m_terms,m_assignment_size,t,m_generator);
}
};
static data_expression subst_values(
atermpp::detail::_aterm** vars,
atermpp::detail::_aterm** terms,
const size_t assignment_size,
const data_expression& t,
data::set_identifier_generator& generator) // This generator is used for the generation of fresh variable names.
{
if (is_function_symbol(t))
{
return t;
}
else if (is_variable(t))
{
for (size_t i=0; i<assignment_size; i++)
{
if (atermpp::detail::address(t)==vars[i])
{
return atermpp::down_cast<data_expression>(atermpp::aterm(terms[i]));
}
}
return t;
}
else if (is_abstraction(t))
{
const abstraction& t1=atermpp::down_cast<abstraction>(t);
const binder_type& binder=t1.binding_operator();
const variable_list& bound_variables=t1.variables();
// Check that variables in the left and right hand sides of equations do not clash with bound variables.
std::set<variable> variables_in_substitution;
for(size_t i=0; i<assignment_size; ++i)
{
std::set<variable> s=find_free_variables(data_expression(terms[i]));
variables_in_substitution.insert(s.begin(),s.end());
variables_in_substitution.insert(variable(vars[i]));
}
variable_vector new_variables;
mutable_map_substitution<> sigma;
bool sigma_trivial=true;
for(variable_list::const_iterator it=bound_variables.begin(); it!=bound_variables.end(); ++it)
{
if (variables_in_substitution.count(*it)>0)
{
// Replace *it in the list and in the body by a new variable name.
const variable fresh_variable(generator(it->name()),it->sort());
new_variables.push_back(fresh_variable);
sigma[*it]=fresh_variable;
sigma_trivial=false;
}
else
{
new_variables.push_back(*it);
}
}
data_expression body=t1.body();
if (!sigma_trivial)
{
body=replace_variables(body,sigma);
}
return abstraction(binder,variable_list(new_variables.begin(),new_variables.end()),subst_values(vars,terms,assignment_size,body,generator));
}
else if (is_where_clause(t))
{
const where_clause& t1=atermpp::down_cast<where_clause>(t);
const assignment_expression_list& assignments=t1.declarations();
const data_expression& body=t1.body();
#ifndef NDEBUG
// Check that variables in right hand sides of equations do not clash with bound variables.
for(size_t i=0; i<assignment_size; ++i)
{
for(assignment_expression_list::const_iterator it=assignments.begin(); it!=assignments.end(); ++it)
{
assert((*it)[0]!= vars[i]);
}
}
#endif
assignment_vector new_assignments;
for(assignment_expression_list::const_iterator it=assignments.begin(); it!=assignments.end(); ++it)
{
const assignment& assignment_expr = atermpp::down_cast<assignment>(*it);
new_assignments.push_back(assignment(assignment_expr.lhs(), subst_values(vars,terms,assignment_size,assignment_expr.rhs(),generator)));
}
return where_clause(subst_values(vars,terms,assignment_size,body,generator),assignment_list(new_assignments.begin(),new_assignments.end()));
}
else
{
const application& t1 = atermpp::down_cast<application>(t);
const subst_values_argument substitute_values_in_arguments(vars,terms,assignment_size,generator);
return application(subst_values(vars,terms,assignment_size,t1.head(),generator),t1.begin(),t1.end(),substitute_values_in_arguments);
}
}
// Match term t with the lhs p of an equation.
static bool match_jitty(
const data_expression& t,
const data_expression& p,
atermpp::detail::_aterm** vars,
atermpp::detail::_aterm** terms,
size_t& assignment_size)
{
if (is_function_symbol(p))
{
return p==t;
}
else if (is_variable(p))
{
for (size_t i=0; i<assignment_size; i++)
{
if (p==vars[i])
{
if (t==terms[i])
{
return true;
}
else
{
return false;
}
}
}
// subst.push_back(std::pair<variable,data_expression>(atermpp::down_cast<const variable>(p),t));
vars[assignment_size]=const_cast<atermpp::detail::_aterm*>(atermpp::detail::address(p));
terms[assignment_size]=const_cast<atermpp::detail::_aterm*>(atermpp::detail::address(t));
assignment_size++;
return true;
}
else
{
if (is_function_symbol(t) || is_variable(t) || is_abstraction(t) || is_where_clause(t))
{
return false;
}
// p and t must be applications.
assert(is_application(p));
assert(is_application(t));
if (p.function()!=t.function()) // are p and t applications of the same arity?
{
return false;
}
size_t arity = p.size();
for (size_t i=0; i<arity; i++)
{
if (!match_jitty(atermpp::down_cast<const data_expression>(t[i]),
atermpp::down_cast<const data_expression>(p[i]),vars,terms,assignment_size))
{
return false;
}
}
return true;
}
}
data_expression RewriterJitty::rewrite_aux(
const data_expression& term,
substitution_type& sigma)
{
if (is_function_symbol(term))
{
return rewrite_aux_function_symbol(atermpp::down_cast<const function_symbol>(term),term,sigma);
}
if (is_variable(term))
{
return sigma(atermpp::down_cast<variable>(term));
}
if (is_where_clause(term))
{
const where_clause& w = atermpp::down_cast<where_clause>(term);
return rewrite_where(w,sigma);
}
if (is_abstraction(term))
{
const abstraction& ta(term);
if (is_exists(ta))
{
return existential_quantifier_enumeration(ta,sigma);
}
if (is_forall(ta))
{
return universal_quantifier_enumeration(ta,sigma);
}
assert(is_lambda(ta));
return rewrite_single_lambda(ta.variables(),ta.body(),false,sigma);
}
// The variable term has the shape appl(t,t1,...,tn);
// First check whether t has the shape appl(appl...appl(f,u1,...,un)(...)(...) where f is a function symbol.
// In this case rewrite that function symbol. This is an optimisation. If this does not apply t is rewritten,
// including all its subterms. But this is costly, as not all subterms will be rewritten again
// in rewrite_aux_function_symbol.
function_symbol head;
const application& tapp=atermpp::down_cast<application>(term);
data_expression t=tapp.head();
if (detail::head_is_function_symbol(term,head))
{
// In this case t has the shape f(u1...un)(u1'...um').... where all u1,...,un,u1',...,um' are normal formas.
// In the invocation of rewrite_aux_function_symbol these terms are rewritten to normalform again.
/* const size_t arity=term.size()-1;
MCRL2_SYSTEM_SPECIFIC_ALLOCA(args,data_expression, arity);
// new (&args[0]) data_expression(t);
for(size_t i=0; i<arity; ++i)
{
new (&args[i]) data_expression(atermpp::down_cast<data_expression>(term[i+1]));
}
const data_expression result=application(t,&args[0],&args[0]+arity);
for(size_t i=0; i<arity; ++i)
{
args[i].~data_expression();
} */
return rewrite_aux_function_symbol(head,term,sigma);
}
t = rewrite_aux(atermpp::down_cast<data_expression>(term[0]),sigma);
// Here t has the shape f(u1,....,un)(u1',...,um')....: f applied several times to arguments,
// x(u1,....,un)(u1',...,um')....: x applied several times to arguments, or
// binder x1,...,xn.t' where the binder is a lambda, exists or forall.
if (head_is_function_symbol(t,head))
{
// In this case t has the shape f(u1...un)(u1'...um').... where all u1,...,un,u1',...,um' are normal formas.
// In the invocation of rewrite_aux_function_symbol these terms are rewritten to normalform again.
const size_t arity=term.size()-1;
MCRL2_SYSTEM_SPECIFIC_ALLOCA(args,data_expression, arity);
// new (&args[0]) data_expression(t);
for(size_t i=0; i<arity; ++i)
{
new (&args[i]) data_expression(atermpp::down_cast<data_expression>(term[i+1]));
}
const data_expression result=application(t,&args[0],&args[0]+arity);
for(size_t i=0; i<arity; ++i)
{
args[i].~data_expression();
}
return rewrite_aux_function_symbol(head,result,sigma);
}
else if (head_is_variable(t))
{
// return appl(t,t1,...,tn) where t1,...,tn still need to be rewritten.
const size_t arity=term.size()-1;
MCRL2_SYSTEM_SPECIFIC_ALLOCA(args,data_expression, arity);
// new (&args[0]) data_expression(t);
for(size_t i=0; i<arity; ++i)
{
new (&args[i]) data_expression(rewrite_aux(atermpp::down_cast<data_expression>(term[i+1]),sigma));
}
const data_expression result=application(t,&args[0],&args[0]+arity);
for(size_t i=0; i<arity; ++i)
{
args[i].~data_expression();
}
return result;
}
assert(is_abstraction(t));
const abstraction& ta(t);
const binder_type& binder(ta.binding_operator());
if (is_lambda_binder(binder))
{
return rewrite_lambda_application(t,term,sigma);
}
if (is_exists_binder(binder))
{
assert(term.size()==1);
return existential_quantifier_enumeration(t,sigma);
}
assert(is_forall_binder(binder));
assert(term.size()==1);
return universal_quantifier_enumeration(head,sigma);
}
data_expression RewriterJitty::rewrite_aux_function_symbol(
const function_symbol& op,
const data_expression& term,
substitution_type& sigma)
{
// The first term is function symbol; apply the necessary rewrite rules using a jitty strategy.
const size_t arity=(is_function_symbol(term)?1:detail::recursive_number_of_args(term)+1);
MCRL2_SYSTEM_SPECIFIC_ALLOCA(rewritten,data_expression, arity);
MCRL2_SYSTEM_SPECIFIC_ALLOCA(rewritten_defined,bool, arity);
for(size_t i=0; i<arity; ++i)
{
rewritten_defined[i]=false;
}
const size_t op_value=core::index_traits<data::function_symbol,function_symbol_key_type, 2>::index(op);
if (op_value>=jitty_strat.size())
{
make_jitty_strat_sufficiently_larger(op_value);
}
const atermpp::aterm_list& strat=jitty_strat[op_value];
if (!strat.empty())
{
MCRL2_SYSTEM_SPECIFIC_ALLOCA(vars,atermpp::detail::_aterm*,max_vars);
MCRL2_SYSTEM_SPECIFIC_ALLOCA(terms,atermpp::detail::_aterm*,max_vars);
size_t no_assignments=0;
for (atermpp::aterm_list::const_iterator strategy_it=strat.begin(); strategy_it!=strat.end(); ++strategy_it)
{
const atermpp::aterm& rule = *strategy_it;
if (rule.type_is_int())
{
const size_t i = (atermpp::down_cast<const atermpp::aterm_int>(rule)).value()+1;
if (i < arity)
{
assert(!rewritten_defined[i]);
rewritten_defined[i]=true;
new (&rewritten[i]) data_expression(rewrite_aux(detail::get_argument_of_higher_order_term(term,i-1),sigma));
assert(rewritten[i].defined());
}
else
{
break;
}
}
else
{
const atermpp::aterm_list& rule1=atermpp::down_cast<const atermpp::aterm_list>(rule);
const data_expression& lhs=atermpp::down_cast<const data_expression>(element_at(rule1,2));
size_t rule_arity = (is_function_symbol(lhs)?1:detail::recursive_number_of_args(lhs)+1);
if (rule_arity > arity)
{
break;
}
no_assignments=0; //subst.clear();
bool matches = true;
for (size_t i=1; i<rule_arity; i++)
{
assert(i<arity);
if (!match_jitty(rewritten_defined[i]?rewritten[i]:detail::get_argument_of_higher_order_term(term,i-1),
detail::get_argument_of_higher_order_term(lhs,i-1),vars,terms,no_assignments))
{
matches = false;
break;
}
}
if (matches && (element_at(rule1,1)==sort_bool::true_() || rewrite_aux(
subst_values(vars,terms,no_assignments,atermpp::down_cast<data_expression>(element_at(rule1,1)),generator),sigma)==sort_bool::true_()))
{
const data_expression& rhs=atermpp::down_cast<const data_expression>(element_at(rule1,3));
if (arity == rule_arity)
{
const data_expression result=rewrite_aux(subst_values(vars,terms,no_assignments,rhs,generator),sigma);
for (size_t i=0; i<arity; i++)
{
if (rewritten_defined[i])
{
rewritten[i].~data_expression();
}
}
return result;
}
else
{
assert(arity>rule_arity);
// There are more arguments than those that have been rewritten.
// Get those, put them in rewritten.
if (rewritten_defined[rule_arity-1])
{
rewritten[rule_arity-1]=subst_values(vars,terms,no_assignments,rhs,generator);
}
else
{
new (&rewritten[rule_arity-1]) data_expression(subst_values(vars,terms,no_assignments,rhs,generator));
rewritten_defined[rule_arity-1]=true;
}
for(size_t i=rule_arity; i<arity; ++i)
{
if (rewritten_defined[i])
{
rewritten[i]=detail::get_argument_of_higher_order_term(term,i-1);
}
else
{
new (&rewritten[i]) data_expression(detail::get_argument_of_higher_order_term(term,i-1));
rewritten_defined[i]=true;
}
}
size_t i = rule_arity-1;
sort_expression sort = detail::residual_sort(op.sort(),i);
while (is_function_sort(sort) && (i < arity))
{
const sort_expression_list& sort_dom = atermpp::down_cast<function_sort>(sort).domain();
size_t a=sort_dom.size()+1;
const size_t end=i+a;
assert(end-1<arity);
rewritten[end-1] = application(rewritten[i],&rewritten[0]+i+1,&rewritten[0]+end);
i=end-1;
sort = atermpp::down_cast<function_sort>(sort).codomain();
}
const data_expression result=rewrite_aux(rewritten[i],sigma);
for (size_t i=0; i<arity; ++i)
{
if (rewritten_defined[i])
{
rewritten[i].~data_expression();
}
}
return result;
}
}
}
}
}
// No rewrite rule is applicable. Rewrite the not yet rewritten arguments.
// As we rewrite all, we do not record anymore whether terms are rewritten.
assert(!rewritten_defined[0]);
new (&rewritten[0]) data_expression(op);
for (size_t i=1; i<arity; i++)
{
if (!rewritten_defined[i])
{
new (&rewritten[i]) data_expression(rewrite_aux(detail::get_argument_of_higher_order_term(term,i-1),sigma));
}
}
//Construct this potential higher order term.
data_expression result;
if (is_function_symbol(term))
{
result=rewritten[0];
}
else
{
size_t i = 0;
sort_expression sort = op.sort();
while (is_function_sort(sort) && (i+1 < arity))
{
const sort_expression_list& sort_dom = atermpp::down_cast<function_sort>(sort).domain();
const size_t a=sort_dom.size()+1;
const size_t end=i+a;
assert(end-1<arity);
rewritten[end-1] = application(rewritten[i],&rewritten[0]+i+1,&rewritten[0]+end);
i=end-1;
sort = atermpp::down_cast<function_sort>(sort).codomain();
}
result=rewritten[i];
}
for (size_t i=0; i<arity; i++)
{
rewritten[i].~data_expression();
}
return result;
}
data_expression RewriterJitty::rewrite(
const data_expression& term,
substitution_type& sigma)
{
#ifdef MCRL2_DISPLAY_REWRITE_STATISTICS
data::detail::increment_rewrite_count();
#endif
return rewrite_aux(term, sigma);
}
rewrite_strategy RewriterJitty::getStrategy()
{
return jitty;
}
}
}
}
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