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# ifndef __STDC_FORMAT_MACROS
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# define __STDC_FORMAT_MACROS
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# endif
# ifndef __STDC_LIMIT_MACROS
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# define __STDC_LIMIT_MACROS
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# endif
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/***************************************************************************************[Solver.cc]
Copyright ( c ) 2003 - 2006 , Niklas Een , Niklas Sorensson
Copyright ( c ) 2007 - 2010 , Niklas Sorensson
Permission is hereby granted , free of charge , to any person obtaining a copy of this software and
associated documentation files ( the " Software " ) , to deal in the Software without restriction ,
including without limitation the rights to use , copy , modify , merge , publish , distribute ,
sublicense , and / or sell copies of the Software , and to permit persons to whom the Software is
furnished to do so , subject to the following conditions :
The above copyright notice and this permission notice shall be included in all copies or
substantial portions of the Software .
THE SOFTWARE IS PROVIDED " AS IS " , WITHOUT WARRANTY OF ANY KIND , EXPRESS OR IMPLIED , INCLUDING BUT
NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY , FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT . IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM ,
DAMAGES OR OTHER LIABILITY , WHETHER IN AN ACTION OF CONTRACT , TORT OR OTHERWISE , ARISING FROM , OUT
OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE .
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
# include <math.h>
# include "Alg.h"
# include "Sort.h"
# include "System.h"
# include "Solver.h"
using namespace Minisat ;
//=================================================================================================
// Options:
static const char * _cat = " CORE " ;
static DoubleOption opt_var_decay ( _cat , " var-decay " , " The variable activity decay factor " , 0.95 , DoubleRange ( 0 , false , 1 , false ) ) ;
static DoubleOption opt_clause_decay ( _cat , " cla-decay " , " The clause activity decay factor " , 0.999 , DoubleRange ( 0 , false , 1 , false ) ) ;
static DoubleOption opt_random_var_freq ( _cat , " rnd-freq " , " The frequency with which the decision heuristic tries to choose a random variable " , 0 , DoubleRange ( 0 , true , 1 , true ) ) ;
static DoubleOption opt_random_seed ( _cat , " rnd-seed " , " Used by the random variable selection " , 91648253 , DoubleRange ( 0 , false , HUGE_VAL , false ) ) ;
static IntOption opt_ccmin_mode ( _cat , " ccmin-mode " , " Controls conflict clause minimization (0=none, 1=basic, 2=deep) " , 2, IntRange(0, 2)) ;
static IntOption opt_phase_saving ( _cat , " phase-saving " , " Controls the level of phase saving (0=none, 1=limited, 2=full) " , 2, IntRange(0, 2)) ;
static BoolOption opt_rnd_init_act ( _cat , " rnd-init " , " Randomize the initial activity " , false ) ;
static BoolOption opt_luby_restart ( _cat , " luby " , " Use the Luby restart sequence " , true ) ;
static IntOption opt_restart_first ( _cat , " rfirst " , " The base restart interval " , 100 , IntRange ( 1 , INT32_MAX ) ) ;
static DoubleOption opt_restart_inc ( _cat , " rinc " , " Restart interval increase factor " , 2 , DoubleRange ( 1 , false , HUGE_VAL , false ) ) ;
static DoubleOption opt_garbage_frac ( _cat , " gc-frac " , " The fraction of wasted memory allowed before a garbage collection is triggered " , 0.20 , DoubleRange ( 0 , false , HUGE_VAL , false ) ) ;
static IntOption opt_min_learnts_lim ( _cat , " min-learnts " , " Minimum learnt clause limit " , 0 , IntRange ( 0 , INT32_MAX ) ) ;
//=================================================================================================
// Constructor/Destructor:
Solver : : Solver ( ) :
// Parameters (user settable):
//
verbosity ( 0 )
, var_decay ( opt_var_decay )
, clause_decay ( opt_clause_decay )
, random_var_freq ( opt_random_var_freq )
, random_seed ( opt_random_seed )
, luby_restart ( opt_luby_restart )
, ccmin_mode ( opt_ccmin_mode )
, phase_saving ( opt_phase_saving )
, rnd_pol ( false )
, rnd_init_act ( opt_rnd_init_act )
, garbage_frac ( opt_garbage_frac )
, min_learnts_lim ( opt_min_learnts_lim )
, restart_first ( opt_restart_first )
, restart_inc ( opt_restart_inc )
// Parameters (the rest):
//
, learntsize_factor ( ( double ) 1 / ( double ) 3 ) , learntsize_inc ( 1.1 )
// Parameters (experimental):
//
, learntsize_adjust_start_confl ( 100 )
, learntsize_adjust_inc ( 1.5 )
// Statistics: (formerly in 'SolverStats')
//
, solves ( 0 ) , starts ( 0 ) , decisions ( 0 ) , rnd_decisions ( 0 ) , propagations ( 0 ) , conflicts ( 0 )
, dec_vars ( 0 ) , num_clauses ( 0 ) , num_learnts ( 0 ) , clauses_literals ( 0 ) , learnts_literals ( 0 ) , max_literals ( 0 ) , tot_literals ( 0 )
, watches ( WatcherDeleted ( ca ) )
, order_heap ( VarOrderLt ( activity ) )
, ok ( true )
, cla_inc ( 1 )
, var_inc ( 1 )
, qhead ( 0 )
, simpDB_assigns ( - 1 )
, simpDB_props ( 0 )
, progress_estimate ( 0 )
, remove_satisfied ( true )
, next_var ( 0 )
// Resource constraints:
//
, conflict_budget ( - 1 )
, propagation_budget ( - 1 )
, asynch_interrupt ( false )
{ }
Solver : : ~ Solver ( )
{
}
//=================================================================================================
// Minor methods:
// Creates a new SAT variable in the solver. If 'decision' is cleared, variable will not be
// used as a decision variable (NOTE! This has effects on the meaning of a SATISFIABLE result).
//
Var Solver : : newVar ( lbool upol , bool dvar )
{
Var v ;
if ( free_vars . size ( ) > 0 ) {
v = free_vars . last ( ) ;
free_vars . pop ( ) ;
} else
v = next_var + + ;
watches . init ( mkLit ( v , false ) ) ;
watches . init ( mkLit ( v , true ) ) ;
assigns . insert ( v , l_Undef ) ;
vardata . insert ( v , mkVarData ( CRef_Undef , 0 ) ) ;
activity . insert ( v , rnd_init_act ? drand ( random_seed ) * 0.00001 : 0 ) ;
seen . insert ( v , 0 ) ;
polarity . insert ( v , true ) ;
user_pol . insert ( v , upol ) ;
decision . reserve ( v ) ;
trail . capacity ( v + 1 ) ;
setDecisionVar ( v , dvar ) ;
return v ;
}
// Note: at the moment, only unassigned variable will be released (this is to avoid duplicate
// releases of the same variable).
void Solver : : releaseVar ( Lit l )
{
if ( value ( l ) = = l_Undef ) {
addClause ( l ) ;
released_vars . push ( var ( l ) ) ;
}
}
bool Solver : : addClause_ ( vec < Lit > & ps )
{
assert ( decisionLevel ( ) = = 0 ) ;
if ( ! ok ) return false ;
// Check if clause is satisfied and remove false/duplicate literals:
sort ( ps ) ;
Lit p ; int i , j ;
for ( i = j = 0 , p = lit_Undef ; i < ps . size ( ) ; i + + )
if ( value ( ps [ i ] ) = = l_True | | ps [ i ] = = ~ p )
return true ;
else if ( value ( ps [ i ] ) ! = l_False & & ps [ i ] ! = p )
ps [ j + + ] = p = ps [ i ] ;
ps . shrink ( i - j ) ;
if ( ps . size ( ) = = 0 )
return ok = false ;
else if ( ps . size ( ) = = 1 ) {
uncheckedEnqueue ( ps [ 0 ] ) ;
return ok = ( propagate ( ) = = CRef_Undef ) ;
} else {
CRef cr = ca . alloc ( ps , false ) ;
clauses . push ( cr ) ;
attachClause ( cr ) ;
}
return true ;
}
void Solver : : attachClause ( CRef cr ) {
const Clause & c = ca [ cr ] ;
assert ( c . size ( ) > 1 ) ;
watches [ ~ c [ 0 ] ] . push ( Watcher ( cr , c [ 1 ] ) ) ;
watches [ ~ c [ 1 ] ] . push ( Watcher ( cr , c [ 0 ] ) ) ;
if ( c . learnt ( ) ) num_learnts + + , learnts_literals + = c . size ( ) ;
else num_clauses + + , clauses_literals + = c . size ( ) ;
}
void Solver : : detachClause ( CRef cr , bool strict ) {
const Clause & c = ca [ cr ] ;
assert ( c . size ( ) > 1 ) ;
// Strict or lazy detaching:
if ( strict ) {
remove ( watches [ ~ c [ 0 ] ] , Watcher ( cr , c [ 1 ] ) ) ;
remove ( watches [ ~ c [ 1 ] ] , Watcher ( cr , c [ 0 ] ) ) ;
} else {
watches . smudge ( ~ c [ 0 ] ) ;
watches . smudge ( ~ c [ 1 ] ) ;
}
if ( c . learnt ( ) ) num_learnts - - , learnts_literals - = c . size ( ) ;
else num_clauses - - , clauses_literals - = c . size ( ) ;
}
void Solver : : removeClause ( CRef cr ) {
Clause & c = ca [ cr ] ;
detachClause ( cr ) ;
// Don't leave pointers to free'd memory!
if ( locked ( c ) ) vardata [ var ( c [ 0 ] ) ] . reason = CRef_Undef ;
c . mark ( 1 ) ;
ca . free ( cr ) ;
}
bool Solver : : satisfied ( const Clause & c ) const {
for ( int i = 0 ; i < c . size ( ) ; i + + )
if ( value ( c [ i ] ) = = l_True )
return true ;
return false ; }
// Revert to the state at given level (keeping all assignment at 'level' but not beyond).
//
void Solver : : cancelUntil ( int level ) {
if ( decisionLevel ( ) > level ) {
for ( int c = trail . size ( ) - 1 ; c > = trail_lim [ level ] ; c - - ) {
Var x = var ( trail [ c ] ) ;
assigns [ x ] = l_Undef ;
if ( phase_saving > 1 | | ( phase_saving = = 1 & & c > trail_lim . last ( ) ) )
polarity [ x ] = sign ( trail [ c ] ) ;
insertVarOrder ( x ) ; }
qhead = trail_lim [ level ] ;
trail . shrink ( trail . size ( ) - trail_lim [ level ] ) ;
trail_lim . shrink ( trail_lim . size ( ) - level ) ;
} }
//=================================================================================================
// Major methods:
Lit Solver : : pickBranchLit ( )
{
Var next = var_Undef ;
// Random decision:
if ( drand ( random_seed ) < random_var_freq & & ! order_heap . empty ( ) ) {
next = order_heap [ irand ( random_seed , order_heap . size ( ) ) ] ;
if ( value ( next ) = = l_Undef & & decision [ next ] )
rnd_decisions + + ; }
// Activity based decision:
while ( next = = var_Undef | | value ( next ) ! = l_Undef | | ! decision [ next ] )
if ( order_heap . empty ( ) ) {
next = var_Undef ;
break ;
} else
next = order_heap . removeMin ( ) ;
// Choose polarity based on different polarity modes (global or per-variable):
if ( next = = var_Undef )
return lit_Undef ;
else if ( user_pol [ next ] ! = l_Undef )
return mkLit ( next , user_pol [ next ] = = l_True ) ;
else if ( rnd_pol )
return mkLit ( next , drand ( random_seed ) < 0.5 ) ;
else
return mkLit ( next , polarity [ next ] ) ;
}
/*_________________________________________________________________________________________________
|
| analyze : ( confl : Clause * ) ( out_learnt : vec < Lit > & ) ( out_btlevel : int & ) - > [ void ]
|
| Description :
| Analyze conflict and produce a reason clause .
|
| Pre - conditions :
| * ' out_learnt ' is assumed to be cleared .
| * Current decision level must be greater than root level .
|
| Post - conditions :
| * ' out_learnt [ 0 ] ' is the asserting literal at level ' out_btlevel ' .
| * If out_learnt . size ( ) > 1 then ' out_learnt [ 1 ] ' has the greatest decision level of the
| rest of literals . There may be others from the same level though .
|
| ________________________________________________________________________________________________ @ */
void Solver : : analyze ( CRef confl , vec < Lit > & out_learnt , int & out_btlevel )
{
int pathC = 0 ;
Lit p = lit_Undef ;
// Generate conflict clause:
//
out_learnt . push ( ) ; // (leave room for the asserting literal)
int index = trail . size ( ) - 1 ;
do {
assert ( confl ! = CRef_Undef ) ; // (otherwise should be UIP)
Clause & c = ca [ confl ] ;
if ( c . learnt ( ) )
claBumpActivity ( c ) ;
for ( int j = ( p = = lit_Undef ) ? 0 : 1 ; j < c . size ( ) ; j + + ) {
Lit q = c [ j ] ;
if ( ! seen [ var ( q ) ] & & level ( var ( q ) ) > 0 ) {
varBumpActivity ( var ( q ) ) ;
seen [ var ( q ) ] = 1 ;
if ( level ( var ( q ) ) > = decisionLevel ( ) )
pathC + + ;
else
out_learnt . push ( q ) ;
}
}
// Select next clause to look at:
while ( ! seen [ var ( trail [ index - - ] ) ] ) ;
p = trail [ index + 1 ] ;
confl = reason ( var ( p ) ) ;
seen [ var ( p ) ] = 0 ;
pathC - - ;
} while ( pathC > 0 ) ;
out_learnt [ 0 ] = ~ p ;
// Simplify conflict clause:
//
int i , j ;
out_learnt . copyTo ( analyze_toclear ) ;
if ( ccmin_mode = = 2 ) {
for ( i = j = 1 ; i < out_learnt . size ( ) ; i + + )
if ( reason ( var ( out_learnt [ i ] ) ) = = CRef_Undef | | ! litRedundant ( out_learnt [ i ] ) )
out_learnt [ j + + ] = out_learnt [ i ] ;
} else if ( ccmin_mode = = 1 ) {
for ( i = j = 1 ; i < out_learnt . size ( ) ; i + + ) {
Var x = var ( out_learnt [ i ] ) ;
if ( reason ( x ) = = CRef_Undef )
out_learnt [ j + + ] = out_learnt [ i ] ;
else {
Clause & c = ca [ reason ( var ( out_learnt [ i ] ) ) ] ;
for ( int k = 1 ; k < c . size ( ) ; k + + )
if ( ! seen [ var ( c [ k ] ) ] & & level ( var ( c [ k ] ) ) > 0 ) {
out_learnt [ j + + ] = out_learnt [ i ] ;
break ; }
}
}
} else
i = j = out_learnt . size ( ) ;
max_literals + = out_learnt . size ( ) ;
out_learnt . shrink ( i - j ) ;
tot_literals + = out_learnt . size ( ) ;
// Find correct backtrack level:
//
if ( out_learnt . size ( ) = = 1 )
out_btlevel = 0 ;
else {
int max_i = 1 ;
// Find the first literal assigned at the next-highest level:
for ( int i = 2 ; i < out_learnt . size ( ) ; i + + )
if ( level ( var ( out_learnt [ i ] ) ) > level ( var ( out_learnt [ max_i ] ) ) )
max_i = i ;
// Swap-in this literal at index 1:
Lit p = out_learnt [ max_i ] ;
out_learnt [ max_i ] = out_learnt [ 1 ] ;
out_learnt [ 1 ] = p ;
out_btlevel = level ( var ( p ) ) ;
}
for ( int j = 0 ; j < analyze_toclear . size ( ) ; j + + ) seen [ var ( analyze_toclear [ j ] ) ] = 0 ; // ('seen[]' is now cleared)
}
// Check if 'p' can be removed from a conflict clause.
bool Solver : : litRedundant ( Lit p )
{
enum { seen_undef = 0 , seen_source = 1 , seen_removable = 2 , seen_failed = 3 } ;
assert ( seen [ var ( p ) ] = = seen_undef | | seen [ var ( p ) ] = = seen_source ) ;
assert ( reason ( var ( p ) ) ! = CRef_Undef ) ;
Clause * c = & ca [ reason ( var ( p ) ) ] ;
vec < ShrinkStackElem > & stack = analyze_stack ;
stack . clear ( ) ;
for ( uint32_t i = 1 ; ; i + + ) {
if ( i < ( uint32_t ) c - > size ( ) ) {
// Checking 'p'-parents 'l':
Lit l = ( * c ) [ i ] ;
// Variable at level 0 or previously removable:
if ( level ( var ( l ) ) = = 0 | | seen [ var ( l ) ] = = seen_source | | seen [ var ( l ) ] = = seen_removable ) {
continue ; }
// Check variable can not be removed for some local reason:
if ( reason ( var ( l ) ) = = CRef_Undef | | seen [ var ( l ) ] = = seen_failed ) {
stack . push ( ShrinkStackElem ( 0 , p ) ) ;
for ( int i = 0 ; i < stack . size ( ) ; i + + )
if ( seen [ var ( stack [ i ] . l ) ] = = seen_undef ) {
seen [ var ( stack [ i ] . l ) ] = seen_failed ;
analyze_toclear . push ( stack [ i ] . l ) ;
}
return false ;
}
// Recursively check 'l':
stack . push ( ShrinkStackElem ( i , p ) ) ;
i = 0 ;
p = l ;
c = & ca [ reason ( var ( p ) ) ] ;
} else {
// Finished with current element 'p' and reason 'c':
if ( seen [ var ( p ) ] = = seen_undef ) {
seen [ var ( p ) ] = seen_removable ;
analyze_toclear . push ( p ) ;
}
// Terminate with success if stack is empty:
if ( stack . size ( ) = = 0 ) break ;
// Continue with top element on stack:
i = stack . last ( ) . i ;
p = stack . last ( ) . l ;
c = & ca [ reason ( var ( p ) ) ] ;
stack . pop ( ) ;
}
}
return true ;
}
/*_________________________________________________________________________________________________
|
| analyzeFinal : ( p : Lit ) - > [ void ]
|
| Description :
| Specialized analysis procedure to express the final conflict in terms of assumptions .
| Calculates the ( possibly empty ) set of assumptions that led to the assignment of ' p ' , and
| stores the result in ' out_conflict ' .
| ________________________________________________________________________________________________ @ */
void Solver : : analyzeFinal ( Lit p , LSet & out_conflict )
{
out_conflict . clear ( ) ;
out_conflict . insert ( p ) ;
if ( decisionLevel ( ) = = 0 )
return ;
seen [ var ( p ) ] = 1 ;
for ( int i = trail . size ( ) - 1 ; i > = trail_lim [ 0 ] ; i - - ) {
Var x = var ( trail [ i ] ) ;
if ( seen [ x ] ) {
if ( reason ( x ) = = CRef_Undef ) {
assert ( level ( x ) > 0 ) ;
out_conflict . insert ( ~ trail [ i ] ) ;
} else {
Clause & c = ca [ reason ( x ) ] ;
for ( int j = 1 ; j < c . size ( ) ; j + + )
if ( level ( var ( c [ j ] ) ) > 0 )
seen [ var ( c [ j ] ) ] = 1 ;
}
seen [ x ] = 0 ;
}
}
seen [ var ( p ) ] = 0 ;
}
void Solver : : uncheckedEnqueue ( Lit p , CRef from )
{
assert ( value ( p ) = = l_Undef ) ;
assigns [ var ( p ) ] = lbool ( ! sign ( p ) ) ;
vardata [ var ( p ) ] = mkVarData ( from , decisionLevel ( ) ) ;
trail . push_ ( p ) ;
}
/*_________________________________________________________________________________________________
|
| propagate : [ void ] - > [ Clause * ]
|
| Description :
| Propagates all enqueued facts . If a conflict arises , the conflicting clause is returned ,
| otherwise CRef_Undef .
|
| Post - conditions :
| * the propagation queue is empty , even if there was a conflict .
| ________________________________________________________________________________________________ @ */
CRef Solver : : propagate ( )
{
CRef confl = CRef_Undef ;
int num_props = 0 ;
while ( qhead < trail . size ( ) ) {
Lit p = trail [ qhead + + ] ; // 'p' is enqueued fact to propagate.
vec < Watcher > & ws = watches . lookup ( p ) ;
Watcher * i , * j , * end ;
num_props + + ;
for ( i = j = ( Watcher * ) ws , end = i + ws . size ( ) ; i ! = end ; ) {
// Try to avoid inspecting the clause:
Lit blocker = i - > blocker ;
if ( value ( blocker ) = = l_True ) {
* j + + = * i + + ; continue ; }
// Make sure the false literal is data[1]:
CRef cr = i - > cref ;
Clause & c = ca [ cr ] ;
Lit false_lit = ~ p ;
if ( c [ 0 ] = = false_lit )
c [ 0 ] = c [ 1 ] , c [ 1 ] = false_lit ;
assert ( c [ 1 ] = = false_lit ) ;
i + + ;
// If 0th watch is true, then clause is already satisfied.
Lit first = c [ 0 ] ;
Watcher w = Watcher ( cr , first ) ;
if ( first ! = blocker & & value ( first ) = = l_True ) {
* j + + = w ; continue ; }
// Look for new watch:
for ( int k = 2 ; k < c . size ( ) ; k + + )
if ( value ( c [ k ] ) ! = l_False ) {
c [ 1 ] = c [ k ] ; c [ k ] = false_lit ;
watches [ ~ c [ 1 ] ] . push ( w ) ;
goto NextClause ; }
// Did not find watch -- clause is unit under assignment:
* j + + = w ;
if ( value ( first ) = = l_False ) {
confl = cr ;
qhead = trail . size ( ) ;
// Copy the remaining watches:
while ( i < end )
* j + + = * i + + ;
} else
uncheckedEnqueue ( first , cr ) ;
NextClause : ;
}
ws . shrink ( i - j ) ;
}
propagations + = num_props ;
simpDB_props - = num_props ;
return confl ;
}
/*_________________________________________________________________________________________________
|
| reduceDB : ( ) - > [ void ]
|
| Description :
| Remove half of the learnt clauses , minus the clauses locked by the current assignment . Locked
| clauses are clauses that are reason to some assignment . Binary clauses are never removed .
| ________________________________________________________________________________________________ @ */
struct reduceDB_lt {
ClauseAllocator & ca ;
reduceDB_lt ( ClauseAllocator & ca_ ) : ca ( ca_ ) { }
bool operator ( ) ( CRef x , CRef y ) {
return ca [ x ] . size ( ) > 2 & & ( ca [ y ] . size ( ) = = 2 | | ca [ x ] . activity ( ) < ca [ y ] . activity ( ) ) ; }
} ;
void Solver : : reduceDB ( )
{
int i , j ;
double extra_lim = cla_inc / learnts . size ( ) ; // Remove any clause below this activity
sort ( learnts , reduceDB_lt ( ca ) ) ;
// Don't delete binary or locked clauses. From the rest, delete clauses from the first half
// and clauses with activity smaller than 'extra_lim':
for ( i = j = 0 ; i < learnts . size ( ) ; i + + ) {
Clause & c = ca [ learnts [ i ] ] ;
if ( c . size ( ) > 2 & & ! locked ( c ) & & ( i < learnts . size ( ) / 2 | | c . activity ( ) < extra_lim ) )
removeClause ( learnts [ i ] ) ;
else
learnts [ j + + ] = learnts [ i ] ;
}
learnts . shrink ( i - j ) ;
checkGarbage ( ) ;
}
void Solver : : removeSatisfied ( vec < CRef > & cs )
{
int i , j ;
for ( i = j = 0 ; i < cs . size ( ) ; i + + ) {
Clause & c = ca [ cs [ i ] ] ;
if ( satisfied ( c ) )
removeClause ( cs [ i ] ) ;
else {
// Trim clause:
assert ( value ( c [ 0 ] ) = = l_Undef & & value ( c [ 1 ] ) = = l_Undef ) ;
for ( int k = 2 ; k < c . size ( ) ; k + + )
if ( value ( c [ k ] ) = = l_False ) {
c [ k - - ] = c [ c . size ( ) - 1 ] ;
c . pop ( ) ;
}
cs [ j + + ] = cs [ i ] ;
}
}
cs . shrink ( i - j ) ;
}
void Solver : : rebuildOrderHeap ( )
{
vec < Var > vs ;
for ( Var v = 0 ; v < nVars ( ) ; v + + )
if ( decision [ v ] & & value ( v ) = = l_Undef )
vs . push ( v ) ;
order_heap . build ( vs ) ;
}
/*_________________________________________________________________________________________________
|
| simplify : [ void ] - > [ bool ]
|
| Description :
| Simplify the clause database according to the current top - level assigment . Currently , the only
| thing done here is the removal of satisfied clauses , but more things can be put here .
| ________________________________________________________________________________________________ @ */
bool Solver : : simplify ( )
{
assert ( decisionLevel ( ) = = 0 ) ;
if ( ! ok | | propagate ( ) ! = CRef_Undef )
return ok = false ;
if ( nAssigns ( ) = = simpDB_assigns | | ( simpDB_props > 0 ) )
return true ;
// Remove satisfied clauses:
removeSatisfied ( learnts ) ;
if ( remove_satisfied ) { // Can be turned off.
removeSatisfied ( clauses ) ;
// TODO: what todo in if 'remove_satisfied' is false?
// Remove all released variables from the trail:
for ( int i = 0 ; i < released_vars . size ( ) ; i + + ) {
assert ( seen [ released_vars [ i ] ] = = 0 ) ;
seen [ released_vars [ i ] ] = 1 ;
}
int i , j ;
for ( i = j = 0 ; i < trail . size ( ) ; i + + )
if ( seen [ var ( trail [ i ] ) ] = = 0 )
trail [ j + + ] = trail [ i ] ;
trail . shrink ( i - j ) ;
//printf("trail.size()= %d, qhead = %d\n", trail.size(), qhead);
qhead = trail . size ( ) ;
for ( int i = 0 ; i < released_vars . size ( ) ; i + + )
seen [ released_vars [ i ] ] = 0 ;
// Released variables are now ready to be reused:
append ( released_vars , free_vars ) ;
released_vars . clear ( ) ;
}
checkGarbage ( ) ;
rebuildOrderHeap ( ) ;
simpDB_assigns = nAssigns ( ) ;
simpDB_props = clauses_literals + learnts_literals ; // (shouldn't depend on stats really, but it will do for now)
return true ;
}
/*_________________________________________________________________________________________________
|
| search : ( nof_conflicts : int ) ( params : const SearchParams & ) - > [ lbool ]
|
| Description :
| Search for a model the specified number of conflicts .
| NOTE ! Use negative value for ' nof_conflicts ' indicate infinity .
|
| Output :
| ' l_True ' if a partial assigment that is consistent with respect to the clauseset is found . If
| all variables are decision variables , this means that the clause set is satisfiable . ' l_False '
| if the clause set is unsatisfiable . ' l_Undef ' if the bound on number of conflicts is reached .
| ________________________________________________________________________________________________ @ */
lbool Solver : : search ( int nof_conflicts )
{
assert ( ok ) ;
int backtrack_level ;
int conflictC = 0 ;
vec < Lit > learnt_clause ;
starts + + ;
for ( ; ; ) {
CRef confl = propagate ( ) ;
if ( confl ! = CRef_Undef ) {
// CONFLICT
conflicts + + ; conflictC + + ;
if ( decisionLevel ( ) = = 0 ) return l_False ;
learnt_clause . clear ( ) ;
analyze ( confl , learnt_clause , backtrack_level ) ;
cancelUntil ( backtrack_level ) ;
if ( learnt_clause . size ( ) = = 1 ) {
uncheckedEnqueue ( learnt_clause [ 0 ] ) ;
} else {
CRef cr = ca . alloc ( learnt_clause , true ) ;
learnts . push ( cr ) ;
attachClause ( cr ) ;
claBumpActivity ( ca [ cr ] ) ;
uncheckedEnqueue ( learnt_clause [ 0 ] , cr ) ;
}
varDecayActivity ( ) ;
claDecayActivity ( ) ;
if ( - - learntsize_adjust_cnt = = 0 ) {
learntsize_adjust_confl * = learntsize_adjust_inc ;
learntsize_adjust_cnt = ( int ) learntsize_adjust_confl ;
max_learnts * = learntsize_inc ;
if ( verbosity > = 1 )
printf ( " | %9d | %7d %8d %8d | %8d %8d %6.0f | %6.3f %% | \n " ,
( int ) conflicts ,
( int ) dec_vars - ( trail_lim . size ( ) = = 0 ? trail . size ( ) : trail_lim [ 0 ] ) , nClauses ( ) , ( int ) clauses_literals ,
( int ) max_learnts , nLearnts ( ) , ( double ) learnts_literals / nLearnts ( ) , progressEstimate ( ) * 100 ) ;
}
} else {
// NO CONFLICT
if ( ( nof_conflicts > = 0 & & conflictC > = nof_conflicts ) | | ! withinBudget ( ) ) {
// Reached bound on number of conflicts:
progress_estimate = progressEstimate ( ) ;
cancelUntil ( 0 ) ;
return l_Undef ; }
// Simplify the set of problem clauses:
if ( decisionLevel ( ) = = 0 & & ! simplify ( ) )
return l_False ;
if ( learnts . size ( ) - nAssigns ( ) > = max_learnts )
// Reduce the set of learnt clauses:
reduceDB ( ) ;
Lit next = lit_Undef ;
while ( decisionLevel ( ) < assumptions . size ( ) ) {
// Perform user provided assumption:
Lit p = assumptions [ decisionLevel ( ) ] ;
if ( value ( p ) = = l_True ) {
// Dummy decision level:
newDecisionLevel ( ) ;
} else if ( value ( p ) = = l_False ) {
analyzeFinal ( ~ p , conflict ) ;
return l_False ;
} else {
next = p ;
break ;
}
}
if ( next = = lit_Undef ) {
// New variable decision:
decisions + + ;
next = pickBranchLit ( ) ;
if ( next = = lit_Undef )
// Model found:
return l_True ;
}
// Increase decision level and enqueue 'next'
newDecisionLevel ( ) ;
uncheckedEnqueue ( next ) ;
}
}
}
double Solver : : progressEstimate ( ) const
{
double progress = 0 ;
double F = 1.0 / nVars ( ) ;
for ( int i = 0 ; i < = decisionLevel ( ) ; i + + ) {
int beg = i = = 0 ? 0 : trail_lim [ i - 1 ] ;
int end = i = = decisionLevel ( ) ? trail . size ( ) : trail_lim [ i ] ;
progress + = pow ( F , i ) * ( end - beg ) ;
}
return progress / nVars ( ) ;
}
/*
Finite subsequences of the Luby - sequence :
0 : 1
1 : 1 1 2
2 : 1 1 2 1 1 2 4
3 : 1 1 2 1 1 2 4 1 1 2 1 1 2 4 8
. . .
*/
static double luby ( double y , int x ) {
// Find the finite subsequence that contains index 'x', and the
// size of that subsequence:
int size , seq ;
for ( size = 1 , seq = 0 ; size < x + 1 ; seq + + , size = 2 * size + 1 ) ;
while ( size - 1 ! = x ) {
size = ( size - 1 ) > > 1 ;
seq - - ;
x = x % size ;
}
return pow ( y , seq ) ;
}
// NOTE: assumptions passed in member-variable 'assumptions'.
lbool Solver : : solve_ ( )
{
model . clear ( ) ;
conflict . clear ( ) ;
if ( ! ok ) return l_False ;
solves + + ;
max_learnts = nClauses ( ) * learntsize_factor ;
if ( max_learnts < min_learnts_lim )
max_learnts = min_learnts_lim ;
learntsize_adjust_confl = learntsize_adjust_start_confl ;
learntsize_adjust_cnt = ( int ) learntsize_adjust_confl ;
lbool status = l_Undef ;
if ( verbosity > = 1 ) {
printf ( " ============================[ Search Statistics ]============================== \n " ) ;
printf ( " | Conflicts | ORIGINAL | LEARNT | Progress | \n " ) ;
printf ( " | | Vars Clauses Literals | Limit Clauses Lit/Cl | | \n " ) ;
printf ( " =============================================================================== \n " ) ;
}
// Search:
int curr_restarts = 0 ;
while ( status = = l_Undef ) {
double rest_base = luby_restart ? luby ( restart_inc , curr_restarts ) : pow ( restart_inc , curr_restarts ) ;
status = search ( rest_base * restart_first ) ;
if ( ! withinBudget ( ) ) break ;
curr_restarts + + ;
}
if ( verbosity > = 1 )
printf ( " =============================================================================== \n " ) ;
if ( status = = l_True ) {
// Extend & copy model:
model . growTo ( nVars ( ) ) ;
for ( int i = 0 ; i < nVars ( ) ; i + + ) model [ i ] = value ( i ) ;
} else if ( status = = l_False & & conflict . size ( ) = = 0 )
ok = false ;
cancelUntil ( 0 ) ;
return status ;
}
bool Solver : : implies ( const vec < Lit > & assumps , vec < Lit > & out )
{
trail_lim . push ( trail . size ( ) ) ;
for ( int i = 0 ; i < assumps . size ( ) ; i + + ) {
Lit a = assumps [ i ] ;
if ( value ( a ) = = l_False ) {
cancelUntil ( 0 ) ;
return false ;
} else if ( value ( a ) = = l_Undef )
uncheckedEnqueue ( a ) ;
}
unsigned trail_before = trail . size ( ) ;
bool ret = true ;
if ( propagate ( ) = = CRef_Undef ) {
out . clear ( ) ;
for ( int j = trail_before ; j < trail . size ( ) ; j + + )
out . push ( trail [ j ] ) ;
} else
ret = false ;
cancelUntil ( 0 ) ;
return ret ;
}
//=================================================================================================
// Writing CNF to DIMACS:
//
// FIXME: this needs to be rewritten completely.
static Var mapVar ( Var x , vec < Var > & map , Var & max )
{
if ( map . size ( ) < = x | | map [ x ] = = - 1 ) {
map . growTo ( x + 1 , - 1 ) ;
map [ x ] = max + + ;
}
return map [ x ] ;
}
void Solver : : toDimacs ( FILE * f , Clause & c , vec < Var > & map , Var & max )
{
if ( satisfied ( c ) ) return ;
for ( int i = 0 ; i < c . size ( ) ; i + + )
if ( value ( c [ i ] ) ! = l_False )
fprintf ( f , " %s%d " , sign ( c [ i ] ) ? " - " : " " , mapVar ( var ( c [ i ] ) , map , max ) + 1 ) ;
fprintf ( f , " 0 \n " ) ;
}
void Solver : : toDimacs ( const char * file , const vec < Lit > & assumps )
{
FILE * f = fopen ( file , " wr " ) ;
if ( f = = NULL )
fprintf ( stderr , " could not open file %s \n " , file ) , exit ( 1 ) ;
toDimacs ( f , assumps ) ;
fclose ( f ) ;
}
void Solver : : toDimacs ( FILE * f , const vec < Lit > & assumps )
{
// Handle case when solver is in contradictory state:
if ( ! ok ) {
fprintf ( f , " p cnf 1 2 \n 1 0 \n -1 0 \n " ) ;
return ; }
vec < Var > map ; Var max = 0 ;
// Cannot use removeClauses here because it is not safe
// to deallocate them at this point. Could be improved.
int cnt = 0 ;
for ( int i = 0 ; i < clauses . size ( ) ; i + + )
if ( ! satisfied ( ca [ clauses [ i ] ] ) )
cnt + + ;
for ( int i = 0 ; i < clauses . size ( ) ; i + + )
if ( ! satisfied ( ca [ clauses [ i ] ] ) ) {
Clause & c = ca [ clauses [ i ] ] ;
for ( int j = 0 ; j < c . size ( ) ; j + + )
if ( value ( c [ j ] ) ! = l_False )
mapVar ( var ( c [ j ] ) , map , max ) ;
}
// Assumptions are added as unit clauses:
cnt + = assumps . size ( ) ;
fprintf ( f , " p cnf %d %d \n " , max , cnt ) ;
for ( int i = 0 ; i < assumps . size ( ) ; i + + ) {
assert ( value ( assumps [ i ] ) ! = l_False ) ;
fprintf ( f , " %s%d 0 \n " , sign ( assumps [ i ] ) ? " - " : " " , mapVar ( var ( assumps [ i ] ) , map , max ) + 1 ) ;
}
for ( int i = 0 ; i < clauses . size ( ) ; i + + )
toDimacs ( f , ca [ clauses [ i ] ] , map , max ) ;
if ( verbosity > 0 )
printf ( " Wrote DIMACS with %d variables and %d clauses. \n " , max , cnt ) ;
}
void Solver : : printStats ( ) const
{
double cpu_time = cpuTime ( ) ;
double mem_used = memUsedPeak ( ) ;
printf ( " restarts : % " PRIu64 " \n " , starts ) ;
printf ( " conflicts : %-12 " PRIu64 " (%.0f /sec) \n " , conflicts , conflicts / cpu_time ) ;
printf ( " decisions : %-12 " PRIu64 " (%4.2f %% random) (%.0f /sec) \n " , decisions , ( float ) rnd_decisions * 100 / ( float ) decisions , decisions / cpu_time ) ;
printf ( " propagations : %-12 " PRIu64 " (%.0f /sec) \n " , propagations , propagations / cpu_time ) ;
printf ( " conflict literals : %-12 " PRIu64 " (%4.2f %% deleted) \n " , tot_literals , ( max_literals - tot_literals ) * 100 / ( double ) max_literals ) ;
if ( mem_used ! = 0 ) printf ( " Memory used : %.2f MB \n " , mem_used ) ;
printf ( " CPU time : %g s \n " , cpu_time ) ;
}
//=================================================================================================
// Garbage Collection methods:
void Solver : : relocAll ( ClauseAllocator & to )
{
// All watchers:
//
watches . cleanAll ( ) ;
for ( int v = 0 ; v < nVars ( ) ; v + + )
for ( int s = 0 ; s < 2 ; s + + ) {
Lit p = mkLit ( v , s ) ;
vec < Watcher > & ws = watches [ p ] ;
for ( int j = 0 ; j < ws . size ( ) ; j + + )
ca . reloc ( ws [ j ] . cref , to ) ;
}
// All reasons:
//
for ( int i = 0 ; i < trail . size ( ) ; i + + ) {
Var v = var ( trail [ i ] ) ;
// Note: it is not safe to call 'locked()' on a relocated clause. This is why we keep
// 'dangling' reasons here. It is safe and does not hurt.
if ( reason ( v ) ! = CRef_Undef & & ( ca [ reason ( v ) ] . reloced ( ) | | locked ( ca [ reason ( v ) ] ) ) ) {
assert ( ! isRemoved ( reason ( v ) ) ) ;
ca . reloc ( vardata [ v ] . reason , to ) ;
}
}
// All learnt:
//
int i , j ;
for ( i = j = 0 ; i < learnts . size ( ) ; i + + )
if ( ! isRemoved ( learnts [ i ] ) ) {
ca . reloc ( learnts [ i ] , to ) ;
learnts [ j + + ] = learnts [ i ] ;
}
learnts . shrink ( i - j ) ;
// All original:
//
for ( i = j = 0 ; i < clauses . size ( ) ; i + + )
if ( ! isRemoved ( clauses [ i ] ) ) {
ca . reloc ( clauses [ i ] , to ) ;
clauses [ j + + ] = clauses [ i ] ;
}
clauses . shrink ( i - j ) ;
}
void Solver : : garbageCollect ( )
{
// Initialize the next region to a size corresponding to the estimated utilization degree. This
// is not precise but should avoid some unnecessary reallocations for the new region:
ClauseAllocator to ( ca . size ( ) - ca . wasted ( ) ) ;
relocAll ( to ) ;
if ( verbosity > = 2 )
printf ( " | Garbage collection: %12d bytes => %12d bytes | \n " ,
ca . size ( ) * ClauseAllocator : : Unit_Size , to . size ( ) * ClauseAllocator : : Unit_Size ) ;
to . moveTo ( ca ) ;
}