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/* Conflict counterexample generation
Copyright (C) 2020-2021 Free Software Foundation, Inc.
This file is part of Bison, the GNU Compiler Compiler.
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 3 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, see <https://www.gnu.org/licenses/>. */
#include <config.h>
#include "counterexample.h"
#include "system.h"
#include <errno.h>
#include <gl_linked_list.h>
#include <gl_rbtreehash_list.h>
#include <hash.h>
#include <mbswidth.h>
#include <stdlib.h>
#include <textstyle.h>
#include <time.h>
#include "closure.h"
#include "complain.h"
#include "derivation.h"
#include "getargs.h"
#include "gram.h"
#include "lalr.h"
#include "lssi.h"
#include "nullable.h"
#include "parse-simulation.h"
#define TIME_LIMIT_ENFORCED true
/** If set to false, only consider the states on the shortest
* lookahead-sensitive path when constructing a unifying counterexample. */
#define EXTENDED_SEARCH false
/* costs for making various steps in a search */
#define PRODUCTION_COST 50
#define REDUCE_COST 1
#define SHIFT_COST 1
#define UNSHIFT_COST 1
#define EXTENDED_COST 10000
/** The time limit before printing an assurance message to the user to
* indicate that the search is still running. */
#define ASSURANCE_LIMIT 2.0
/* The time limit before giving up looking for unifying counterexample. */
static double time_limit = 5.0;
#define CUMULATIVE_TIME_LIMIT 120.0
// This is the fastest way to get the tail node from the gl_list API.
static gl_list_node_t
list_get_end (gl_list_t list)
{
gl_list_node_t sentinel = gl_list_add_last (list, NULL);
gl_list_node_t res = gl_list_previous_node (list, sentinel);
gl_list_remove_node (list, sentinel);
return res;
}
typedef struct
{
derivation *d1;
derivation *d2;
bool shift_reduce;
bool unifying;
bool timeout;
} counterexample;
static counterexample *
new_counterexample (derivation *d1, derivation *d2,
bool shift_reduce,
bool u, bool t)
{
counterexample *res = xmalloc (sizeof *res);
res->shift_reduce = shift_reduce;
if (shift_reduce)
{
// Display the shift first.
res->d1 = d2;
res->d2 = d1;
}
else
{
res->d1 = d1;
res->d2 = d2;
}
res->unifying = u;
res->timeout = t;
return res;
}
static void
free_counterexample (counterexample *cex)
{
derivation_free (cex->d1);
derivation_free (cex->d2);
free (cex);
}
static void
counterexample_print (const counterexample *cex, FILE *out, const char *prefix)
{
const bool flat = getenv ("YYFLAT");
const char *example1_label
= cex->unifying ? _("Example") : _("First example");
const char *example2_label
= cex->unifying ? _("Example") : _("Second example");
const char *deriv1_label
= cex->shift_reduce ? _("Shift derivation") : _("First reduce derivation");
const char *deriv2_label
= cex->shift_reduce ? _("Reduce derivation") : _("Second reduce derivation");
const int width =
max_int (max_int (mbswidth (example1_label, 0), mbswidth (example2_label, 0)),
max_int (mbswidth (deriv1_label, 0), mbswidth (deriv2_label, 0)));
if (flat)
fprintf (out, " %s%s%*s ", prefix,
example1_label, width - mbswidth (example1_label, 0), "");
else
fprintf (out, " %s%s: ", prefix, example1_label);
derivation_print_leaves (cex->d1, out);
if (flat)
fprintf (out, " %s%s%*s ", prefix,
deriv1_label, width - mbswidth (deriv1_label, 0), "");
else
fprintf (out, " %s%s", prefix, deriv1_label);
derivation_print (cex->d1, out, prefix);
// If we output to the terminal (via stderr) and we have color
// support, display unifying examples a second time, as color allows
// to see the differences.
if (!cex->unifying || is_styled (stderr))
{
if (flat)
fprintf (out, " %s%s%*s ", prefix,
example2_label, width - mbswidth (example2_label, 0), "");
else
fprintf (out, " %s%s: ", prefix, example2_label);
derivation_print_leaves (cex->d2, out);
}
if (flat)
fprintf (out, " %s%s%*s ", prefix,
deriv2_label, width - mbswidth (deriv2_label, 0), "");
else
fprintf (out, " %s%s", prefix, deriv2_label);
derivation_print (cex->d2, out, prefix);
if (out != stderr)
putc ('\n', out);
}
/*
*
* NON UNIFYING COUNTER EXAMPLES
*
*/
// Search node for BFS on state items
struct si_bfs_node;
typedef struct si_bfs_node
{
state_item_number si;
struct si_bfs_node *parent;
int reference_count;
} si_bfs_node;
static si_bfs_node *
si_bfs_new (state_item_number si, si_bfs_node *parent)
{
si_bfs_node *res = xcalloc (1, sizeof *res);
res->si = si;
res->parent = parent;
res->reference_count = 1;
if (parent)
++parent->reference_count;
return res;
}
static bool
si_bfs_contains (const si_bfs_node *n, state_item_number sin)
{
for (const si_bfs_node *search = n; search != NULL; search = search->parent)
if (search->si == sin)
return true;
return false;
}
static void
si_bfs_free (si_bfs_node *n)
{
if (n == NULL)
return;
--n->reference_count;
if (n->reference_count == 0)
{
si_bfs_free (n->parent);
free (n);
}
}
typedef gl_list_t si_bfs_node_list;
/**
* start is a state_item such that conflict_sym is an element of FIRSTS of the
* nonterminal after the dot in start. Because of this, we should be able to
* find a production item starting with conflict_sym by only searching productions
* of the nonterminal and shifting over nullable nonterminals
*
* this returns the derivation of the productions that lead to conflict_sym
*/
static inline derivation_list
expand_to_conflict (state_item_number start, symbol_number conflict_sym)
{
si_bfs_node *init = si_bfs_new (start, NULL);
si_bfs_node_list queue
= gl_list_create (GL_LINKED_LIST, NULL, NULL,
(gl_listelement_dispose_fn) si_bfs_free,
true, 1, (const void **) &init);
si_bfs_node *node = NULL;
// breadth-first search for a path of productions to the conflict symbol
while (gl_list_size (queue) > 0)
{
node = (si_bfs_node *) gl_list_get_at (queue, 0);
state_item *silast = &state_items[node->si];
symbol_number sym = item_number_as_symbol_number (*silast->item);
if (sym == conflict_sym)
break;
if (ISVAR (sym))
{
// add each production to the search
bitset_iterator biter;
state_item_number sin;
bitset sib = silast->prods;
BITSET_FOR_EACH (biter, sib, sin, 0)
{
// ignore productions already in the path
if (si_bfs_contains (node, sin))
continue;
si_bfs_node *next = si_bfs_new (sin, node);
gl_list_add_last (queue, next);
}
// for nullable nonterminals, add its goto to the search
if (nullable[sym - ntokens])
{
si_bfs_node *next = si_bfs_new (silast->trans, node);
gl_list_add_last (queue, next);
}
}
gl_list_remove_at (queue, 0);
}
if (gl_list_size (queue) == 0)
{
gl_list_free (queue);
fputs ("Error expanding derivation\n", stderr);
abort ();
}
derivation *dinit = derivation_new_leaf (conflict_sym);
derivation_list result = derivation_list_new ();
derivation_list_append (result, dinit);
// iterate backwards through the generated path to create a derivation
// of the conflict symbol containing derivations of each production step.
for (si_bfs_node *n = node; n != NULL; n = n->parent)
{
state_item *si = &state_items[n->si];
item_number *pos = si->item;
if (SI_PRODUCTION (si))
{
item_number *i = NULL;
for (i = pos + 1; !item_number_is_rule_number (*i); ++i)
derivation_list_append (result, derivation_new_leaf (*i));
symbol_number lhs =
rules[item_number_as_rule_number (*i)].lhs->number;
derivation *deriv = derivation_new (lhs, result,
state_item_rule (si));
result = derivation_list_new ();
derivation_list_append (result, deriv);
}
else
{
symbol_number sym = item_number_as_symbol_number (*(pos - 1));
derivation *deriv = derivation_new_leaf (sym);
derivation_list_prepend (result, deriv);
}
}
gl_list_free (queue);
derivation_free ((derivation*)gl_list_get_at (result, 0));
gl_list_remove_at (result, 0);
return result;
}
/**
* Complete derivations for any pending productions in the given
* sequence of state-items. For example, the input could be a path
* of states that would give us the following input:
* Stmt ::= [lval ::= [VAR] '=' e ::=[ e::=['0'] '+' •
* So to complete the derivation of Stmt, we need an output like:
* Stmt ::= [lval ::= [VAR] '=' e ::=[ e::=['0'] '+' • e ] ';' ]
*/
static derivation *
complete_diverging_example (symbol_number conflict_sym,
state_item_list path, derivation_list derivs)
{
// The idea is to transfer each pending symbol on the productions
// associated with the given StateItems to the resulting derivation.
derivation_list result = derivation_list_new ();
bool lookahead_required = false;
if (!derivs)
{
derivs = derivation_list_new ();
gl_list_add_last (result, derivation_dot ());
lookahead_required = true;
}
gl_list_node_t deriv = list_get_end (derivs);
// We go backwards through the path to create the derivation tree bottom-up.
// Effectively this loops through each production once, and generates a
// derivation of the left hand side by appending all of the rhs symbols.
// this becomes the derivation of the nonterminal after the dot in the
// next production, and all of the other symbols of the rule are added as normal.
for (gl_list_node_t state_node = list_get_end (path);
state_node != NULL;
state_node = gl_list_previous_node (path, state_node))
{
state_item *si = (state_item *) gl_list_node_value (path, state_node);
item_number *item = si->item;
item_number pos = *item;
// symbols after dot
if (gl_list_size (result) == 1 && !item_number_is_rule_number (pos)
&& gl_list_get_at (result, 0) == derivation_dot ())
{
derivation_list_append (result,
derivation_new_leaf (item_number_as_symbol_number (pos)));
lookahead_required = false;
}
item_number *i = item;
// go through each symbol after the dot in the current rule, and
// add each symbol to its derivation.
for (state_item_number nsi = si - state_items;
!item_number_is_rule_number (*i);
++i, nsi = state_items[nsi].trans)
{
// if the item is a reduction, we could skip to the wrong rule
// by starting at i + 1, so this continue is necessary
if (i == item)
continue;
symbol_number sym = item_number_as_symbol_number (*i);
if (!lookahead_required || sym == conflict_sym)
{
derivation_list_append (result, derivation_new_leaf (sym));
lookahead_required = false;
continue;
}
// Since PATH is a path to the conflict state-item,
// for a reduce conflict item, we will want to have a derivation
// that shows the conflict symbol from its lookahead set being used.
//
// Since reductions have the dot at the end of the item,
// this loop will be first executed on the last item in the path
// that's not a reduction. When that happens,
// the symbol after the dot should be a nonterminal,
// and we can look through successive nullable nonterminals
// for one with the conflict symbol in its first set.
if (bitset_test (FIRSTS (sym), conflict_sym))
{
lookahead_required = false;
derivation_list next_derivs =
expand_to_conflict (nsi, conflict_sym);
derivation *d = NULL;
for (gl_list_iterator_t it = gl_list_iterator (next_derivs);
derivation_list_next (&it, &d);)
derivation_list_append (result, d);
i += gl_list_size (next_derivs) - 1;
derivation_list_free (next_derivs);
}
else if (nullable[sym - ntokens])
{
derivation *d = derivation_new_leaf (sym);
derivation_list_append (result, d);
}
else
{
// We found a path to the conflict item, and despite it
// having the conflict symbol in its lookahead, no example
// containing the symbol after the conflict item
// can be found.
derivation_list_append (result, derivation_new_leaf (1));
lookahead_required = false;
}
}
const rule *r = &rules[item_number_as_rule_number (*i)];
// add derivations for symbols before dot
for (i = item - 1; !item_number_is_rule_number (*i) && i >= ritem; i--)
{
gl_list_node_t p = gl_list_previous_node (path, state_node);
if (p)
state_node = p;
if (deriv)
{
const void *tmp_deriv = gl_list_node_value (derivs, deriv);
deriv = gl_list_previous_node (derivs, deriv);
derivation_list_prepend (result, (derivation*)tmp_deriv);
}
else
derivation_list_prepend (result, derivation_new_leaf (*i));
}
// completing the derivation
derivation *new_deriv = derivation_new (r->lhs->number, result, r);
result = derivation_list_new ();
derivation_list_append (result, new_deriv);
}
derivation *res = (derivation *) gl_list_get_at (result, 0);
derivation_retain (res);
derivation_list_free (result);
derivation_list_free (derivs);
return res;
}
/* Iterate backwards through the shifts of the path in the reduce
conflict, and find a path of shifts from the shift conflict that
goes through the same states. */
static state_item_list
nonunifying_shift_path (state_item_list reduce_path, state_item *shift_conflict)
{
gl_list_node_t tmp = gl_list_add_last (reduce_path, NULL);
gl_list_node_t next_node = gl_list_previous_node (reduce_path, tmp);
gl_list_node_t node = gl_list_previous_node (reduce_path, next_node);
gl_list_remove_node (reduce_path, tmp);
state_item *si = shift_conflict;
state_item_list result =
gl_list_create_empty (GL_LINKED_LIST, NULL, NULL, NULL, true);
// FIXME: bool paths_merged;
for (; node != NULL; next_node = node,
node = gl_list_previous_node (reduce_path, node))
{
state_item *refsi =
(state_item *) gl_list_node_value (reduce_path, node);
state_item *nextrefsi =
(state_item *) gl_list_node_value (reduce_path, next_node);
if (nextrefsi == si)
{
gl_list_add_first (result, refsi);
si = refsi;
continue;
}
// skip reduction items
if (nextrefsi->item != refsi->item + 1 && refsi->item != ritem)
continue;
// bfs to find a shift to the right state
si_bfs_node *init = si_bfs_new (si - state_items, NULL);
si_bfs_node_list queue
= gl_list_create (GL_LINKED_LIST, NULL, NULL,
(gl_listelement_dispose_fn) si_bfs_free,
true, 1, (const void **) &init);
si_bfs_node *sis = NULL;
state_item *prevsi = NULL;
while (gl_list_size (queue) > 0)
{
sis = (si_bfs_node *) gl_list_get_at (queue, 0);
// if we end up in the start state, the shift couldn't be found.
if (sis->si == 0)
break;
state_item *search_si = &state_items[sis->si];
// if the current state-item is a production item,
// its reverse production items get added to the queue.
// Otherwise, look for a reverse transition to the target state.
bitset rsi = search_si->revs;
bitset_iterator biter;
state_item_number sin;
BITSET_FOR_EACH (biter, rsi, sin, 0)
{
prevsi = &state_items[sin];
if (SI_TRANSITION (search_si))
{
if (prevsi->state == refsi->state)
goto search_end;
}
else if (!si_bfs_contains (sis, sin))
{
si_bfs_node *prevsis = si_bfs_new (sin, sis);
gl_list_add_last (queue, prevsis);
}
}
gl_list_remove_at (queue, 0);
}
search_end:
// prepend path to shift we found
if (sis)
{
gl_list_node_t ln = gl_list_add_first (result, &state_items[sis->si]);
for (si_bfs_node *n = sis->parent; n; n = n->parent)
ln = gl_list_add_after (result, ln, &state_items[n->si]);
}
si = prevsi;
gl_list_free (queue);
}
if (trace_flag & trace_cex)
{
fputs ("SHIFT ITEM PATH:\n", stderr);
state_item *sip = NULL;
for (gl_list_iterator_t it = gl_list_iterator (result);
state_item_list_next (&it, &sip);
)
state_item_print (sip, stderr, "");
}
return result;
}
/**
* Construct a nonunifying counterexample from the shortest
* lookahead-sensitive path.
*/
static counterexample *
example_from_path (bool shift_reduce,
state_item_number itm2,
state_item_list shortest_path, symbol_number next_sym)
{
derivation *deriv1 =
complete_diverging_example (next_sym, shortest_path, NULL);
state_item_list path_2
= shift_reduce
? nonunifying_shift_path (shortest_path, &state_items [itm2])
: shortest_path_from_start (itm2, next_sym);
derivation *deriv2 = complete_diverging_example (next_sym, path_2, NULL);
gl_list_free (path_2);
return new_counterexample (deriv1, deriv2, shift_reduce, false, true);
}
/*
*
* UNIFYING COUNTER EXAMPLES
*
*/
/* A search state keeps track of two parser simulations,
* one starting at each conflict. Complexity is a metric
* which sums different parser actions with varying weights.
*/
typedef struct
{
parse_state *states[2];
int complexity;
} search_state;
static search_state *
initial_search_state (state_item *conflict1, state_item *conflict2)
{
search_state *res = xmalloc (sizeof *res);
res->states[0] = new_parse_state (conflict1);
res->states[1] = new_parse_state (conflict2);
parse_state_retain (res->states[0]);
parse_state_retain (res->states[1]);
res->complexity = 0;
return res;
}
static search_state *
new_search_state (parse_state *ps1, parse_state *ps2, int complexity)
{
search_state *res = xmalloc (sizeof *res);
res->states[0] = ps1;
res->states[1] = ps2;
parse_state_retain (res->states[0]);
parse_state_retain (res->states[1]);
res->complexity = complexity;
return res;
}
static search_state *
copy_search_state (search_state *parent)
{
search_state *res = xmalloc (sizeof *res);
*res = *parent;
parse_state_retain (res->states[0]);
parse_state_retain (res->states[1]);
return res;
}
static void
search_state_free_children (search_state *ss)
{
free_parse_state (ss->states[0]);
free_parse_state (ss->states[1]);
}
static void
search_state_free (search_state *ss)
{
if (ss == NULL)
return;
search_state_free_children (ss);
free (ss);
}
/* For debugging traces. */
static void
search_state_print (search_state *ss)
{
fputs ("CONFLICT 1 ", stderr);
print_parse_state (ss->states[0]);
fputs ("CONFLICT 2 ", stderr);
print_parse_state (ss->states[1]);
putc ('\n', stderr);
}
typedef gl_list_t search_state_list;
static inline bool
search_state_list_next (gl_list_iterator_t *it, search_state **ss)
{
const void *p = NULL;
bool res = gl_list_iterator_next (it, &p, NULL);
if (res)
*ss = (search_state*) p;
else
gl_list_iterator_free (it);
return res;
}
/*
* When a search state is copied, this is used to
* directly set one of the parse states
*/
static inline void
ss_set_parse_state (search_state *ss, int idx, parse_state *ps)
{
free_parse_state (ss->states[idx]);
ss->states[idx] = ps;
parse_state_retain (ps);
}
/*
* Construct a nonunifying example from a search state
* which has its parse states unified at the beginning
* but not the end of the example.
*/
static counterexample *
complete_diverging_examples (search_state *ss,
symbol_number next_sym,
bool shift_reduce)
{
derivation *new_derivs[2];
for (int i = 0; i < 2; ++i)
{
state_item_list sitems;
derivation_list derivs;
parse_state_lists (ss->states[i], &sitems, &derivs);
new_derivs[i] = complete_diverging_example (next_sym, sitems, derivs);
gl_list_free (sitems);
}
return new_counterexample (new_derivs[0], new_derivs[1],
shift_reduce, false, true);
}
/*
* Search states are stored in bundles with those that
* share the same complexity. This is so the priority
* queue takes less overhead.
*/
typedef struct
{
search_state_list states;
int complexity;
} search_state_bundle;
static void
ssb_free (search_state_bundle *ssb)
{
gl_list_free (ssb->states);
free (ssb);
}
static size_t
ssb_hasher (search_state_bundle *ssb)
{
return ssb->complexity;
}
static int
ssb_comp (const search_state_bundle *s1, const search_state_bundle *s2)
{
return s1->complexity - s2->complexity;
}
static bool
ssb_equals (const search_state_bundle *s1, const search_state_bundle *s2)
{
return s1->complexity == s2->complexity;
}
typedef gl_list_t ssb_list;
static size_t
visited_hasher (const search_state *ss, size_t max)
{
return (parse_state_hasher (ss->states[0], max)
+ parse_state_hasher (ss->states[1], max)) % max;
}
static bool
visited_comparator (const search_state *ss1, const search_state *ss2)
{
return parse_state_comparator (ss1->states[0], ss2->states[0])
&& parse_state_comparator (ss1->states[1], ss2->states[1]);
}
/* Priority queue for search states with minimal complexity. */
static ssb_list ssb_queue;
static Hash_table *visited;
/* The set of parser states on the shortest lookahead-sensitive path. */
static bitset scp_set = NULL;
/* The set of parser states used for the conflict reduction rule. */
static bitset rpp_set = NULL;
static void
ssb_append (search_state *ss)
{
if (hash_lookup (visited, ss))
{
search_state_free (ss);
return;
}
hash_xinsert (visited, ss);
// if states are only referenced by the visited set,
// their contents should be freed as we only need
// the metadata necessary to compute a hash.
parse_state_free_contents_early (ss->states[0]);
parse_state_free_contents_early (ss->states[1]);
parse_state_retain (ss->states[0]);
parse_state_retain (ss->states[1]);
search_state_bundle *ssb = xmalloc (sizeof *ssb);
ssb->complexity = ss->complexity;
gl_list_node_t n = gl_list_search (ssb_queue, ssb);
if (!n)
{
ssb->states =
gl_list_create_empty (GL_LINKED_LIST, NULL, NULL,
(gl_listelement_dispose_fn)search_state_free_children,
true);
gl_sortedlist_add (ssb_queue, (gl_listelement_compar_fn) ssb_comp, ssb);
}
else
{
free (ssb);
ssb = (search_state_bundle *) gl_list_node_value (ssb_queue, n);
}
gl_list_add_last (ssb->states, ss);
}
/*
* The following functions perform various actions on parse states
* and assign complexities to the newly generated search states.
*/
static void
production_step (search_state *ss, int parser_state)
{
const state_item *other_si = parse_state_tail (ss->states[1 - parser_state]);
symbol_number other_sym = item_number_as_symbol_number (*other_si->item);
parse_state_list prods =
simulate_production (ss->states[parser_state], other_sym);
int complexity = ss->complexity + PRODUCTION_COST;
parse_state *ps = NULL;
for (gl_list_iterator_t it = gl_list_iterator (prods);
parse_state_list_next (&it, &ps);
)
{
search_state *copy = copy_search_state (ss);
ss_set_parse_state (copy, parser_state, ps);
copy->complexity = complexity;
ssb_append (copy);
}
gl_list_free (prods);
}
static inline int
reduction_cost (const parse_state *ps)
{
int shifts;
int productions;
parse_state_completed_steps (ps, &shifts, &productions);
return SHIFT_COST * shifts + PRODUCTION_COST * productions;
}
static search_state_list
reduction_step (search_state *ss, const item_number *conflict_item,
int parser_state, int rule_len)
{
(void) conflict_item; // FIXME: Unused
search_state_list result =
gl_list_create_empty (GL_LINKED_LIST, NULL, NULL, NULL, 1);
parse_state *ps = ss->states[parser_state];
const state_item *si = parse_state_tail (ps);
bitset symbol_set = si->lookahead;
parse_state *other = ss->states[1 - parser_state];
const state_item *other_si = parse_state_tail (other);
// if the other state can transition on a symbol,
// the reduction needs to have that symbol in its lookahead
if (item_number_is_symbol_number (*other_si->item))
{
symbol_number other_sym =
item_number_as_symbol_number (*other_si->item);
if (!intersect_symbol (other_sym, symbol_set))
return result;
symbol_set = bitset_create (nsyms, BITSET_FIXED);
bitset_set (symbol_set, other_sym);
}
// FIXME: search_state *new_root = copy_search_state (ss);
parse_state_list reduced =
simulate_reduction (ps, rule_len, symbol_set);
parse_state *reduced_ps = NULL;
for (gl_list_iterator_t it = gl_list_iterator (reduced);
parse_state_list_next (&it, &reduced_ps);
)
{
search_state *copy = copy_search_state (ss);
ss_set_parse_state (copy, parser_state, reduced_ps);
int r_cost = reduction_cost (reduced_ps);
copy->complexity += r_cost + PRODUCTION_COST + 2 * SHIFT_COST;
gl_list_add_last (result, copy);
}
gl_list_free (reduced);
if (symbol_set != si->lookahead)
bitset_free (symbol_set);
return result;
}
/**
* Attempt to prepend the given symbol to this search state, respecting
* the given subsequent next symbol on each path. If a reverse transition
* cannot be made on both states, possible reverse productions are prepended
*/
static void
search_state_prepend (search_state *ss, symbol_number sym, bitset guide)
{
(void) sym; // FIXME: Unused.
const state_item *si1src = parse_state_head (ss->states[0]);
const state_item *si2src = parse_state_head (ss->states[1]);
bool prod1 = SI_PRODUCTION (si1src);
// If one can make a reverse transition and the other can't, only apply
// the reverse productions that the other state can make in an attempt to
// make progress.
if (prod1 != SI_PRODUCTION (si2src))
{
int prod_state = prod1 ? 0 : 1;
parse_state_list prev = parser_prepend (ss->states[prod_state]);
parse_state *ps = NULL;
for (gl_list_iterator_t iter = gl_list_iterator (prev);
parse_state_list_next (&iter, &ps);
)
{
const state_item *psi = parse_state_head (ps);
bool guided = bitset_test (guide, psi->state->number);
if (!guided && !EXTENDED_SEARCH)
continue;
search_state *copy = copy_search_state (ss);
ss_set_parse_state (copy, prod_state, ps);
copy->complexity += PRODUCTION_COST;
if (!guided)
copy->complexity += EXTENDED_COST;
ssb_append (copy);
}
gl_list_free (prev);
return;
}
// The parse state heads are either both production items or both
// transition items. So all prepend options will either be
// reverse transitions or reverse productions
int complexity_cost = prod1 ? PRODUCTION_COST : UNSHIFT_COST;
complexity_cost *= 2;
parse_state_list prev1 = parser_prepend (ss->states[0]);
parse_state_list prev2 = parser_prepend (ss->states[1]);
// loop through each pair of possible prepend states and append search
// states for each pair where the parser states correspond to the same
// parsed input.
parse_state *ps1 = NULL;
for (gl_list_iterator_t iter1 = gl_list_iterator (prev1);
parse_state_list_next (&iter1, &ps1);
)
{
const state_item *psi1 = parse_state_head (ps1);
bool guided1 = bitset_test (guide, psi1->state->number);
if (!guided1 && !EXTENDED_SEARCH)
continue;
parse_state *ps2 = NULL;
for (gl_list_iterator_t iter2 = gl_list_iterator (prev2);
parse_state_list_next (&iter2, &ps2);
)
{
const state_item *psi2 = parse_state_head (ps2);
bool guided2 = bitset_test (guide, psi2->state->number);
if (!guided2 && !EXTENDED_SEARCH)
continue;
// Only consider prepend state items that share the same state.
if (psi1->state != psi2->state)
continue;
int complexity = ss->complexity;
if (prod1)
complexity += PRODUCTION_COST * 2;
else
complexity += UNSHIFT_COST * 2;
// penalty for not being along the guide path
if (!guided1 || !guided2)
complexity += EXTENDED_COST;
ssb_append (new_search_state (ps1, ps2, complexity));
}
}
gl_list_free (prev1);
gl_list_free (prev2);
}
/**
* Determine if the productions associated with the given parser items have
* the same prefix up to the dot.
*/
static bool
have_common_prefix (const item_number *itm1, const item_number *itm2)
{
int i = 0;
for (; !item_number_is_rule_number (itm1[i]); ++i)
if (itm1[i] != itm2[i])
return false;
return item_number_is_rule_number (itm2[i]);
}
/*
* The start and end locations of an item in ritem.
*/
static const item_number *
item_rule_start (const item_number *item)
{
const item_number *res = NULL;
for (res = item;
ritem < res && item_number_is_symbol_number (*(res - 1));
--res)
continue;
return res;
}
static const item_number *
item_rule_end (const item_number *item)
{
const item_number *res = NULL;
for (res = item; item_number_is_symbol_number (*res); ++res)
continue;
return res;
}
/*
* Perform the appropriate possible parser actions
* on a search state and add the results to the
* search state priority queue.
*/
static inline void
generate_next_states (search_state *ss, state_item *conflict1,
state_item *conflict2)
{
// Compute the successor configurations.
parse_state *ps1 = ss->states[0];
parse_state *ps2 = ss->states[1];
const state_item *si1 = parse_state_tail (ps1);
const state_item *si2 = parse_state_tail (ps2);
bool si1reduce = item_number_is_rule_number (*si1->item);
bool si2reduce = item_number_is_rule_number (*si2->item);
if (!si1reduce && !si2reduce)
{
// Transition if both paths end at the same symbol
if (*si1->item == *si2->item)
{
int complexity = ss->complexity + 2 * SHIFT_COST;
parse_state_list trans1 = simulate_transition (ps1);
parse_state_list trans2 = simulate_transition (ps2);
parse_state *tps1 = NULL;
parse_state *tps2 = NULL;
for (gl_list_iterator_t it1 = gl_list_iterator (trans1);
parse_state_list_next (&it1, &tps1);
)
for (gl_list_iterator_t it2 = gl_list_iterator (trans2);
parse_state_list_next (&it2, &tps2);
)
ssb_append (new_search_state (tps1, tps2, complexity));
gl_list_free (trans1);
gl_list_free (trans2);
}
// Take production steps if possible.
production_step (ss, 0);
production_step (ss, 1);
}
// One of the states requires a reduction
else
{
const item_number *rhs1 = item_rule_start (si1->item);
const item_number *rhe1 = item_rule_end (si1->item);
int len1 = rhe1 - rhs1;
int size1 = parse_state_length (ps1);
bool ready1 = si1reduce && len1 < size1;
const item_number *rhs2 = item_rule_start (si2->item);
const item_number *rhe2 = item_rule_end (si2->item);
int len2 = rhe2 - rhs2;
int size2 = parse_state_length (ps2);
bool ready2 = si2reduce && len2 < size2;
// If there is a path ready for reduction without being
// prepended further, reduce.
if (ready1 && ready2)
{
search_state_list reduced1 = reduction_step (ss, conflict1->item, 0, len1);
gl_list_add_last (reduced1, ss);
search_state *red1 = NULL;
for (gl_list_iterator_t iter = gl_list_iterator (reduced1);
search_state_list_next (&iter, &red1);
)
{
search_state_list reduced2 =
reduction_step (red1, conflict2->item, 1, len2);
search_state *red2 = NULL;
for (gl_list_iterator_t iter2 = gl_list_iterator (reduced2);
search_state_list_next (&iter2, &red2);
)
ssb_append (red2);
// Avoid duplicates.
if (red1 != ss)
ssb_append (red1);
gl_list_free (reduced2);
}
gl_list_free (reduced1);
}
else if (ready1)
{
search_state_list reduced1 = reduction_step (ss, conflict1->item, 0, len1);
search_state *red1 = NULL;
for (gl_list_iterator_t iter = gl_list_iterator (reduced1);
search_state_list_next (&iter, &red1);
)
ssb_append (red1);
gl_list_free (reduced1);
}
else if (ready2)
{
search_state_list reduced2 = reduction_step (ss, conflict2->item, 1, len2);
search_state *red2 = NULL;
for (gl_list_iterator_t iter2 = gl_list_iterator (reduced2);
search_state_list_next (&iter2, &red2);
)
ssb_append (red2);
gl_list_free (reduced2);
}
/* Both states end with a reduction, yet they don't have enough symbols
* to reduce. This means symbols are missing from the beginning of the
* rule, so we must prepend */
else
{
const symbol_number sym
= si1reduce && !ready1
? *(rhe1 - size1)
: *(rhe2 - size2);
search_state_prepend (ss, sym,
parse_state_depth (ss->states[0]) >= 0
? rpp_set : scp_set);
}
}
}
/*
* Perform the actual counterexample search,
* keeps track of what stage of the search algorithm
* we are at and gives the appropriate counterexample
* type based off of time constraints.
*/
static counterexample *
unifying_example (state_item_number itm1,
state_item_number itm2,
bool shift_reduce,
state_item_list reduce_path, symbol_number next_sym)
{
state_item *conflict1 = &state_items[itm1];
state_item *conflict2 = &state_items[itm2];
search_state *initial = initial_search_state (conflict1, conflict2);
ssb_queue = gl_list_create_empty (GL_RBTREEHASH_LIST,
(gl_listelement_equals_fn) ssb_equals,
(gl_listelement_hashcode_fn) ssb_hasher,
(gl_listelement_dispose_fn) ssb_free,
false);
visited =
hash_initialize (32, NULL, (Hash_hasher) visited_hasher,
(Hash_comparator) visited_comparator,
(Hash_data_freer) search_state_free);
ssb_append (initial);
time_t start = time (NULL);
bool assurance_printed = false;
search_state *stage3result = NULL;
counterexample *cex = NULL;
while (gl_list_size (ssb_queue) > 0)
{
const search_state_bundle *ssb = gl_list_get_at (ssb_queue, 0);
search_state *ss = NULL;
for (gl_list_iterator_t it = gl_list_iterator (ssb->states);
search_state_list_next (&it, &ss);
)
{
if (trace_flag & trace_cex)
search_state_print (ss);
// Stage 1/2 completing the rules containing the conflicts
parse_state *ps1 = ss->states[0];
parse_state *ps2 = ss->states[1];
if (parse_state_depth (ps1) < 0 && parse_state_depth (ps2) < 0)
{
// Stage 3: reduce and shift conflict items completed.
const state_item *si1src = parse_state_head (ps1);
const state_item *si2src = parse_state_head (ps2);
if (item_rule (si1src->item)->lhs == item_rule (si2src->item)->lhs
&& have_common_prefix (si1src->item, si2src->item))
{
// Stage 4: both paths share a prefix
derivation *d1 = parse_state_derivation (ps1);
derivation *d2 = parse_state_derivation (ps2);
if (parse_state_derivation_completed (ps1)
&& parse_state_derivation_completed (ps2))
{
// Once we have two derivations for the same symbol,
// we've found a unifying counterexample.
cex = new_counterexample (d1, d2, shift_reduce, true, false);
derivation_retain (d1);
derivation_retain (d2);
goto cex_search_end;
}
if (!stage3result)
stage3result = copy_search_state (ss);
}
}
if (TIME_LIMIT_ENFORCED)
{
double time_passed = difftime (time (NULL), start);
if (!assurance_printed && time_passed > ASSURANCE_LIMIT
&& stage3result)
{
fputs ("Productions leading up to the conflict state found. "
"Still finding a possible unifying counterexample...",
stderr);
assurance_printed = true;
}
if (time_passed > time_limit)
{
fprintf (stderr, "time limit exceeded: %f\n", time_passed);
goto cex_search_end;
}
}
generate_next_states (ss, conflict1, conflict2);
}
gl_sortedlist_remove (ssb_queue,
(gl_listelement_compar_fn) ssb_comp, ssb);
}
cex_search_end:;
if (!cex)
{
// No unifying counterexamples
// If a search state from Stage 3 is available, use it
// to construct a more compact nonunifying counterexample.
if (stage3result)
cex = complete_diverging_examples (stage3result, next_sym, shift_reduce);
// Otherwise, construct a nonunifying counterexample that
// begins from the start state using the shortest
// lookahead-sensitive path to the reduce item.
else
cex = example_from_path (shift_reduce, itm2, reduce_path, next_sym);
}
gl_list_free (ssb_queue);
hash_free (visited);
if (stage3result)
search_state_free (stage3result);
return cex;
}
static time_t cumulative_time;
void
counterexample_init (void)
{
/* Recognize $TIME_LIMIT. Not a public feature, just to help
debugging. If we need something public, a %define/-D/-F variable
would be more appropriate. */
{
const char *cp = getenv ("TIME_LIMIT");
if (cp)
{
char *end = NULL;
double v = strtod (cp, &end);
if (*end == '\0' && errno == 0)
time_limit = v;
}
}
time (&cumulative_time);
scp_set = bitset_create (nstates, BITSET_FIXED);
rpp_set = bitset_create (nstates, BITSET_FIXED);
state_items_init ();
}
void
counterexample_free (void)
{
if (scp_set)
{
bitset_free (scp_set);
bitset_free (rpp_set);
state_items_free ();
}
}
/**
* Report a counterexample for conflict on symbol next_sym
* between the given state-items
*/
static void
counterexample_report (state_item_number itm1, state_item_number itm2,
symbol_number next_sym, bool shift_reduce,
FILE *out, const char *prefix)
{
// Compute the shortest lookahead-sensitive path and associated sets of
// parser states.
state_item_list shortest_path = shortest_path_from_start (itm1, next_sym);
bool reduce_prod_reached = false;
const rule *reduce_rule = item_rule (state_items[itm1].item);
bitset_zero (scp_set);
bitset_zero (rpp_set);
state_item *si = NULL;
for (gl_list_iterator_t it = gl_list_iterator (shortest_path);
state_item_list_next (&it, &si);
)
{
bitset_set (scp_set, si->state->number);
reduce_prod_reached = reduce_prod_reached
|| item_rule (si->item) == reduce_rule;
if (reduce_prod_reached)
bitset_set (rpp_set, si->state->number);
}
time_t t = time (NULL);
counterexample *cex
= difftime (t, cumulative_time) < CUMULATIVE_TIME_LIMIT
? unifying_example (itm1, itm2, shift_reduce, shortest_path, next_sym)
: example_from_path (shift_reduce, itm2, shortest_path, next_sym);
gl_list_free (shortest_path);
counterexample_print (cex, out, prefix);
free_counterexample (cex);
}
// ITM1 denotes a shift, ITM2 a reduce.
static void
counterexample_report_shift_reduce (state_item_number itm1, state_item_number itm2,
symbol_number next_sym,
FILE *out, const char *prefix)
{
if (out == stderr)
complain (NULL, Wcounterexamples,
_("shift/reduce conflict on token %s"), symbols[next_sym]->tag);
else
{
fputs (prefix, out);
fprintf (out, _("shift/reduce conflict on token %s"), symbols[next_sym]->tag);
fprintf (out, "%s\n", _(":"));
}
// In the report, print the items.
if (out != stderr || trace_flag & trace_cex)
{
state_item_print (&state_items[itm1], out, prefix);
state_item_print (&state_items[itm2], out, prefix);
}
counterexample_report (itm1, itm2, next_sym, true, out, prefix);
}
static void
counterexample_report_reduce_reduce (state_item_number itm1, state_item_number itm2,
bitset conflict_syms,
FILE *out, const char *prefix)
{
{
struct obstack obstack;
obstack_init (&obstack);
bitset_iterator biter;
state_item_number sym;
const char *sep = "";
BITSET_FOR_EACH (biter, conflict_syms, sym, 0)
{
obstack_printf (&obstack, "%s%s", sep, symbols[sym]->tag);
sep = ", ";
}
char *tokens = obstack_finish0 (&obstack);
if (out == stderr)
complain (NULL, Wcounterexamples,
ngettext ("reduce/reduce conflict on token %s",
"reduce/reduce conflict on tokens %s",
bitset_count (conflict_syms)),
tokens);
else
{
fputs (prefix, out);
fprintf (out,
ngettext ("reduce/reduce conflict on token %s",
"reduce/reduce conflict on tokens %s",
bitset_count (conflict_syms)),
tokens);
fprintf (out, "%s\n", _(":"));
}
obstack_free (&obstack, NULL);
}
// In the report, print the items.
if (out != stderr || trace_flag & trace_cex)
{
state_item_print (&state_items[itm1], out, prefix);
state_item_print (&state_items[itm2], out, prefix);
}
counterexample_report (itm1, itm2, bitset_first (conflict_syms),
false, out, prefix);
}
static state_item_number
find_state_item_number (const rule *r, state_number sn)
{
for (state_item_number i = state_item_map[sn]; i < state_item_map[sn + 1]; ++i)
if (!SI_DISABLED (i)
&& item_number_as_rule_number (*state_items[i].item) == r->number)
return i;
abort ();
}
void
counterexample_report_state (const state *s, FILE *out, const char *prefix)
{
const state_number sn = s->number;
const reductions *reds = s->reductions;
bitset lookaheads = bitset_create (ntokens, BITSET_FIXED);
for (int i = 0; i < reds->num; ++i)
{
const rule *r1 = reds->rules[i];
const state_item_number c1 = find_state_item_number (r1, sn);
for (state_item_number c2 = state_item_map[sn]; c2 < state_item_map[sn + 1]; ++c2)
if (!SI_DISABLED (c2))
{
item_number conf = *state_items[c2].item;
if (item_number_is_symbol_number (conf)
&& bitset_test (reds->lookaheads[i], conf))
counterexample_report_shift_reduce (c1, c2, conf, out, prefix);
}
for (int j = i+1; j < reds->num; ++j)
{
const rule *r2 = reds->rules[j];
// Conflicts: common lookaheads.
bitset_intersection (lookaheads,
reds->lookaheads[i],
reds->lookaheads[j]);
if (!bitset_empty_p (lookaheads))
for (state_item_number c2 = state_item_map[sn]; c2 < state_item_map[sn + 1]; ++c2)
if (!SI_DISABLED (c2)
&& item_rule (state_items[c2].item) == r2)
{
counterexample_report_reduce_reduce (c1, c2, lookaheads, out, prefix);
break;
}
}
}
bitset_free (lookaheads);
}