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author | Alan Mishchenko <alanmi@berkeley.edu> | 2006-09-16 08:01:00 -0700 |
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committer | Alan Mishchenko <alanmi@berkeley.edu> | 2006-09-16 08:01:00 -0700 |
commit | 370578bf1c4504b65f49ab63fcf7ed9c88a15d69 (patch) | |
tree | d8297df3e080f52c6526fd7ccded9dd4cc601f2d /src/temp/ivy/satSolver.c | |
parent | aab0c478e4c78c6856919fcd1027583ca148f3eb (diff) | |
download | abc-370578bf1c4504b65f49ab63fcf7ed9c88a15d69.tar.gz abc-370578bf1c4504b65f49ab63fcf7ed9c88a15d69.tar.bz2 abc-370578bf1c4504b65f49ab63fcf7ed9c88a15d69.zip |
Version abc60916
Diffstat (limited to 'src/temp/ivy/satSolver.c')
-rw-r--r-- | src/temp/ivy/satSolver.c | 1194 |
1 files changed, 1194 insertions, 0 deletions
diff --git a/src/temp/ivy/satSolver.c b/src/temp/ivy/satSolver.c new file mode 100644 index 00000000..b8248df8 --- /dev/null +++ b/src/temp/ivy/satSolver.c @@ -0,0 +1,1194 @@ +/************************************************************************************************** +MiniSat -- Copyright (c) 2005, Niklas Sorensson +http://www.cs.chalmers.se/Cs/Research/FormalMethods/MiniSat/ + +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. +**************************************************************************************************/ +// Modified to compile with MS Visual Studio 6.0 by Alan Mishchenko + +#include <stdio.h> +#include <assert.h> +#include <string.h> +#include <math.h> + +#include "satSolver.h" + +//================================================================================================= +// Debug: + +//#define VERBOSEDEBUG + +// For derivation output (verbosity level 2) +#define L_IND "%-*d" +#define L_ind sat_solver_dlevel(s)*3+3,sat_solver_dlevel(s) +#define L_LIT "%sx%d" +#define L_lit(p) lit_sign(p)?"~":"", (lit_var(p)) + +// Just like 'assert()' but expression will be evaluated in the release version as well. +static inline void check(int expr) { assert(expr); } + +static void printlits(lit* begin, lit* end) +{ + int i; + for (i = 0; i < end - begin; i++) + printf(L_LIT" ",L_lit(begin[i])); +} + +//================================================================================================= +// Random numbers: + + +// Returns a random float 0 <= x < 1. Seed must never be 0. +static inline double drand(double* seed) { + int q; + *seed *= 1389796; + q = (int)(*seed / 2147483647); + *seed -= (double)q * 2147483647; + return *seed / 2147483647; } + + +// Returns a random integer 0 <= x < size. Seed must never be 0. +static inline int irand(double* seed, int size) { + return (int)(drand(seed) * size); } + + +//================================================================================================= +// Predeclarations: + +static void sat_solver_sort(void** array, int size, int(*comp)(const void *, const void *)); + +//================================================================================================= +// Clause datatype + minor functions: + +struct clause_t +{ + int size_learnt; + lit lits[0]; +}; + +static inline int clause_size (clause* c) { return c->size_learnt >> 1; } +static inline lit* clause_begin (clause* c) { return c->lits; } +static inline int clause_learnt (clause* c) { return c->size_learnt & 1; } +static inline float clause_activity (clause* c) { return *((float*)&c->lits[c->size_learnt>>1]); } +static inline void clause_setactivity(clause* c, float a) { *((float*)&c->lits[c->size_learnt>>1]) = a; } + +//================================================================================================= +// Encode literals in clause pointers: + +static clause* clause_from_lit (lit l) { return (clause*)((unsigned long)l + (unsigned long)l + 1); } +static bool clause_is_lit (clause* c) { return ((unsigned long)c & 1); } +static lit clause_read_lit (clause* c) { return (lit)((unsigned long)c >> 1); } + +//================================================================================================= +// Simple helpers: + +static inline int sat_solver_dlevel(sat_solver* s) { return veci_size(&s->trail_lim); } +static inline vecp* sat_solver_read_wlist(sat_solver* s, lit l) { return &s->wlists[l]; } +static inline void vecp_remove(vecp* v, void* e) +{ + void** ws = vecp_begin(v); + int j = 0; + for (; ws[j] != e ; j++); + assert(j < vecp_size(v)); + for (; j < vecp_size(v)-1; j++) ws[j] = ws[j+1]; + vecp_resize(v,vecp_size(v)-1); +} + +//================================================================================================= +// Variable order functions: + +static inline void order_update(sat_solver* s, int v) // updateorder +{ + int* orderpos = s->orderpos; + double* activity = s->activity; + int* heap = veci_begin(&s->order); + int i = orderpos[v]; + int x = heap[i]; + int parent = (i - 1) / 2; + + assert(s->orderpos[v] != -1); + + while (i != 0 && activity[x] > activity[heap[parent]]){ + heap[i] = heap[parent]; + orderpos[heap[i]] = i; + i = parent; + parent = (i - 1) / 2; + } + heap[i] = x; + orderpos[x] = i; +} + +static inline void order_assigned(sat_solver* s, int v) +{ +} + +static inline void order_unassigned(sat_solver* s, int v) // undoorder +{ + int* orderpos = s->orderpos; + if (orderpos[v] == -1){ + orderpos[v] = veci_size(&s->order); + veci_push(&s->order,v); + order_update(s,v); + } +} + +static int order_select(sat_solver* s, float random_var_freq) // selectvar +{ + int* heap; + double* activity; + int* orderpos; + + lbool* values = s->assigns; + + // Random decision: + if (drand(&s->random_seed) < random_var_freq){ + int next = irand(&s->random_seed,s->size); + assert(next >= 0 && next < s->size); + if (values[next] == l_Undef) + return next; + } + + // Activity based decision: + + heap = veci_begin(&s->order); + activity = s->activity; + orderpos = s->orderpos; + + + while (veci_size(&s->order) > 0){ + int next = heap[0]; + int size = veci_size(&s->order)-1; + int x = heap[size]; + + veci_resize(&s->order,size); + + orderpos[next] = -1; + + if (size > 0){ + double act = activity[x]; + + int i = 0; + int child = 1; + + + while (child < size){ + if (child+1 < size && activity[heap[child]] < activity[heap[child+1]]) + child++; + + assert(child < size); + + if (act >= activity[heap[child]]) + break; + + heap[i] = heap[child]; + orderpos[heap[i]] = i; + i = child; + child = 2 * child + 1; + } + heap[i] = x; + orderpos[heap[i]] = i; + } + + if (values[next] == l_Undef) + return next; + } + + return var_Undef; +} + +//================================================================================================= +// Activity functions: + +static inline void act_var_rescale(sat_solver* s) { + double* activity = s->activity; + int i; + for (i = 0; i < s->size; i++) + activity[i] *= 1e-100; + s->var_inc *= 1e-100; +} + +static inline void act_var_bump(sat_solver* s, int v) { + double* activity = s->activity; + if ((activity[v] += s->var_inc) > 1e100) + act_var_rescale(s); + + //printf("bump %d %f\n", v-1, activity[v]); + + if (s->orderpos[v] != -1) + order_update(s,v); + +} + +static inline void act_var_decay(sat_solver* s) { s->var_inc *= s->var_decay; } + +static inline void act_clause_rescale(sat_solver* s) { + clause** cs = (clause**)vecp_begin(&s->learnts); + int i; + for (i = 0; i < vecp_size(&s->learnts); i++){ + float a = clause_activity(cs[i]); + clause_setactivity(cs[i], a * (float)1e-20); + } + s->cla_inc *= (float)1e-20; +} + + +static inline void act_clause_bump(sat_solver* s, clause *c) { + float a = clause_activity(c) + s->cla_inc; + clause_setactivity(c,a); + if (a > 1e20) act_clause_rescale(s); +} + +static inline void act_clause_decay(sat_solver* s) { s->cla_inc *= s->cla_decay; } + + +//================================================================================================= +// Clause functions: + +/* pre: size > 1 && no variable occurs twice + */ +static clause* clause_new(sat_solver* s, lit* begin, lit* end, int learnt) +{ + int size; + clause* c; + int i; + + assert(end - begin > 1); + assert(learnt >= 0 && learnt < 2); + size = end - begin; + c = (clause*)malloc(sizeof(clause) + sizeof(lit) * size + learnt * sizeof(float)); + c->size_learnt = (size << 1) | learnt; + assert(((unsigned int)c & 1) == 0); + + for (i = 0; i < size; i++) + c->lits[i] = begin[i]; + + if (learnt) + *((float*)&c->lits[size]) = 0.0; + + assert(begin[0] >= 0); + assert(begin[0] < s->size*2); + assert(begin[1] >= 0); + assert(begin[1] < s->size*2); + + assert(lit_neg(begin[0]) < s->size*2); + assert(lit_neg(begin[1]) < s->size*2); + + //vecp_push(sat_solver_read_wlist(s,lit_neg(begin[0])),(void*)c); + //vecp_push(sat_solver_read_wlist(s,lit_neg(begin[1])),(void*)c); + + vecp_push(sat_solver_read_wlist(s,lit_neg(begin[0])),(void*)(size > 2 ? c : clause_from_lit(begin[1]))); + vecp_push(sat_solver_read_wlist(s,lit_neg(begin[1])),(void*)(size > 2 ? c : clause_from_lit(begin[0]))); + + return c; +} + + +static void clause_remove(sat_solver* s, clause* c) +{ + lit* lits = clause_begin(c); + assert(lit_neg(lits[0]) < s->size*2); + assert(lit_neg(lits[1]) < s->size*2); + + //vecp_remove(sat_solver_read_wlist(s,lit_neg(lits[0])),(void*)c); + //vecp_remove(sat_solver_read_wlist(s,lit_neg(lits[1])),(void*)c); + + assert(lits[0] < s->size*2); + vecp_remove(sat_solver_read_wlist(s,lit_neg(lits[0])),(void*)(clause_size(c) > 2 ? c : clause_from_lit(lits[1]))); + vecp_remove(sat_solver_read_wlist(s,lit_neg(lits[1])),(void*)(clause_size(c) > 2 ? c : clause_from_lit(lits[0]))); + + if (clause_learnt(c)){ + s->stats.learnts--; + s->stats.learnts_literals -= clause_size(c); + }else{ + s->stats.clauses--; + s->stats.clauses_literals -= clause_size(c); + } + + free(c); +} + + +static lbool clause_simplify(sat_solver* s, clause* c) +{ + lit* lits = clause_begin(c); + lbool* values = s->assigns; + int i; + + assert(sat_solver_dlevel(s) == 0); + + for (i = 0; i < clause_size(c); i++){ + lbool sig = !lit_sign(lits[i]); sig += sig - 1; + if (values[lit_var(lits[i])] == sig) + return l_True; + } + return l_False; +} + +//================================================================================================= +// Minor (solver) functions: + +void sat_solver_setnvars(sat_solver* s,int n) +{ + int var; + + if (s->cap < n){ + + while (s->cap < n) s->cap = s->cap*2+1; + + s->wlists = (vecp*) realloc(s->wlists, sizeof(vecp)*s->cap*2); + s->activity = (double*) realloc(s->activity, sizeof(double)*s->cap); + s->assigns = (lbool*) realloc(s->assigns, sizeof(lbool)*s->cap); + s->orderpos = (int*) realloc(s->orderpos, sizeof(int)*s->cap); + s->reasons = (clause**)realloc(s->reasons, sizeof(clause*)*s->cap); + s->levels = (int*) realloc(s->levels, sizeof(int)*s->cap); + s->tags = (lbool*) realloc(s->tags, sizeof(lbool)*s->cap); + s->trail = (lit*) realloc(s->trail, sizeof(lit)*s->cap); + } + + for (var = s->size; var < n; var++){ + vecp_new(&s->wlists[2*var]); + vecp_new(&s->wlists[2*var+1]); + s->activity [var] = 0; + s->assigns [var] = l_Undef; + s->orderpos [var] = veci_size(&s->order); + s->reasons [var] = (clause*)0; + s->levels [var] = 0; + s->tags [var] = l_Undef; + + /* does not hold because variables enqueued at top level will not be reinserted in the heap + assert(veci_size(&s->order) == var); + */ + veci_push(&s->order,var); + order_update(s, var); + } + + s->size = n > s->size ? n : s->size; +} + + +static inline bool enqueue(sat_solver* s, lit l, clause* from) +{ + lbool* values = s->assigns; + int v = lit_var(l); + lbool val = values[v]; +#ifdef VERBOSEDEBUG + printf(L_IND"enqueue("L_LIT")\n", L_ind, L_lit(l)); +#endif + + lbool sig = !lit_sign(l); sig += sig - 1; + if (val != l_Undef){ + return val == sig; + }else{ + // New fact -- store it. +#ifdef VERBOSEDEBUG + printf(L_IND"bind("L_LIT")\n", L_ind, L_lit(l)); +#endif + int* levels = s->levels; + clause** reasons = s->reasons; + + values [v] = sig; + levels [v] = sat_solver_dlevel(s); + reasons[v] = from; + s->trail[s->qtail++] = l; + + order_assigned(s, v); + return true; + } +} + + +static inline void assume(sat_solver* s, lit l){ + assert(s->qtail == s->qhead); + assert(s->assigns[lit_var(l)] == l_Undef); +#ifdef VERBOSEDEBUG + printf(L_IND"assume("L_LIT")\n", L_ind, L_lit(l)); +#endif + veci_push(&s->trail_lim,s->qtail); + enqueue(s,l,(clause*)0); +} + + +static inline void sat_solver_canceluntil(sat_solver* s, int level) { + lit* trail; + lbool* values; + clause** reasons; + int bound; + int c; + + if (sat_solver_dlevel(s) <= level) + return; + + trail = s->trail; + values = s->assigns; + reasons = s->reasons; + bound = (veci_begin(&s->trail_lim))[level]; + + for (c = s->qtail-1; c >= bound; c--) { + int x = lit_var(trail[c]); + values [x] = l_Undef; + reasons[x] = (clause*)0; + } + + for (c = s->qhead-1; c >= bound; c--) + order_unassigned(s,lit_var(trail[c])); + + s->qhead = s->qtail = bound; + veci_resize(&s->trail_lim,level); +} + +static void sat_solver_record(sat_solver* s, veci* cls) +{ + lit* begin = veci_begin(cls); + lit* end = begin + veci_size(cls); + clause* c = (veci_size(cls) > 1) ? clause_new(s,begin,end,1) : (clause*)0; + enqueue(s,*begin,c); + + assert(veci_size(cls) > 0); + + if (c != 0) { + vecp_push(&s->learnts,c); + act_clause_bump(s,c); + s->stats.learnts++; + s->stats.learnts_literals += veci_size(cls); + } +} + + +static double sat_solver_progress(sat_solver* s) +{ + lbool* values = s->assigns; + int* levels = s->levels; + int i; + + double progress = 0; + double F = 1.0 / s->size; + for (i = 0; i < s->size; i++) + if (values[i] != l_Undef) + progress += pow(F, levels[i]); + return progress / s->size; +} + +//================================================================================================= +// Major methods: + +static bool sat_solver_lit_removable(sat_solver* s, lit l, int minl) +{ + lbool* tags = s->tags; + clause** reasons = s->reasons; + int* levels = s->levels; + int top = veci_size(&s->tagged); + + assert(lit_var(l) >= 0 && lit_var(l) < s->size); + assert(reasons[lit_var(l)] != 0); + veci_resize(&s->stack,0); + veci_push(&s->stack,lit_var(l)); + + while (veci_size(&s->stack) > 0){ + clause* c; + int v = veci_begin(&s->stack)[veci_size(&s->stack)-1]; + assert(v >= 0 && v < s->size); + veci_resize(&s->stack,veci_size(&s->stack)-1); + assert(reasons[v] != 0); + c = reasons[v]; + + if (clause_is_lit(c)){ + int v = lit_var(clause_read_lit(c)); + if (tags[v] == l_Undef && levels[v] != 0){ + if (reasons[v] != 0 && ((1 << (levels[v] & 31)) & minl)){ + veci_push(&s->stack,v); + tags[v] = l_True; + veci_push(&s->tagged,v); + }else{ + int* tagged = veci_begin(&s->tagged); + int j; + for (j = top; j < veci_size(&s->tagged); j++) + tags[tagged[j]] = l_Undef; + veci_resize(&s->tagged,top); + return false; + } + } + }else{ + lit* lits = clause_begin(c); + int i, j; + + for (i = 1; i < clause_size(c); i++){ + int v = lit_var(lits[i]); + if (tags[v] == l_Undef && levels[v] != 0){ + if (reasons[v] != 0 && ((1 << (levels[v] & 31)) & minl)){ + + veci_push(&s->stack,lit_var(lits[i])); + tags[v] = l_True; + veci_push(&s->tagged,v); + }else{ + int* tagged = veci_begin(&s->tagged); + for (j = top; j < veci_size(&s->tagged); j++) + tags[tagged[j]] = l_Undef; + veci_resize(&s->tagged,top); + return false; + } + } + } + } + } + + return true; +} + +static void sat_solver_analyze(sat_solver* s, clause* c, veci* learnt) +{ + lit* trail = s->trail; + lbool* tags = s->tags; + clause** reasons = s->reasons; + int* levels = s->levels; + int cnt = 0; + lit p = lit_Undef; + int ind = s->qtail-1; + lit* lits; + int i, j, minl; + int* tagged; + + veci_push(learnt,lit_Undef); + + do{ + assert(c != 0); + + if (clause_is_lit(c)){ + lit q = clause_read_lit(c); + assert(lit_var(q) >= 0 && lit_var(q) < s->size); + if (tags[lit_var(q)] == l_Undef && levels[lit_var(q)] > 0){ + tags[lit_var(q)] = l_True; + veci_push(&s->tagged,lit_var(q)); + act_var_bump(s,lit_var(q)); + if (levels[lit_var(q)] == sat_solver_dlevel(s)) + cnt++; + else + veci_push(learnt,q); + } + }else{ + + if (clause_learnt(c)) + act_clause_bump(s,c); + + lits = clause_begin(c); + //printlits(lits,lits+clause_size(c)); printf("\n"); + for (j = (p == lit_Undef ? 0 : 1); j < clause_size(c); j++){ + lit q = lits[j]; + assert(lit_var(q) >= 0 && lit_var(q) < s->size); + if (tags[lit_var(q)] == l_Undef && levels[lit_var(q)] > 0){ + tags[lit_var(q)] = l_True; + veci_push(&s->tagged,lit_var(q)); + act_var_bump(s,lit_var(q)); + if (levels[lit_var(q)] == sat_solver_dlevel(s)) + cnt++; + else + veci_push(learnt,q); + } + } + } + + while (tags[lit_var(trail[ind--])] == l_Undef); + + p = trail[ind+1]; + c = reasons[lit_var(p)]; + cnt--; + + }while (cnt > 0); + + *veci_begin(learnt) = lit_neg(p); + + lits = veci_begin(learnt); + minl = 0; + for (i = 1; i < veci_size(learnt); i++){ + int lev = levels[lit_var(lits[i])]; + minl |= 1 << (lev & 31); + } + + // simplify (full) + for (i = j = 1; i < veci_size(learnt); i++){ + if (reasons[lit_var(lits[i])] == 0 || !sat_solver_lit_removable(s,lits[i],minl)) + lits[j++] = lits[i]; + } + + // update size of learnt + statistics + s->stats.max_literals += veci_size(learnt); + veci_resize(learnt,j); + s->stats.tot_literals += j; + + // clear tags + tagged = veci_begin(&s->tagged); + for (i = 0; i < veci_size(&s->tagged); i++) + tags[tagged[i]] = l_Undef; + veci_resize(&s->tagged,0); + +#ifdef DEBUG + for (i = 0; i < s->size; i++) + assert(tags[i] == l_Undef); +#endif + +#ifdef VERBOSEDEBUG + printf(L_IND"Learnt {", L_ind); + for (i = 0; i < veci_size(learnt); i++) printf(" "L_LIT, L_lit(lits[i])); +#endif + if (veci_size(learnt) > 1){ + int max_i = 1; + int max = levels[lit_var(lits[1])]; + lit tmp; + + for (i = 2; i < veci_size(learnt); i++) + if (levels[lit_var(lits[i])] > max){ + max = levels[lit_var(lits[i])]; + max_i = i; + } + + tmp = lits[1]; + lits[1] = lits[max_i]; + lits[max_i] = tmp; + } +#ifdef VERBOSEDEBUG + { + int lev = veci_size(learnt) > 1 ? levels[lit_var(lits[1])] : 0; + printf(" } at level %d\n", lev); + } +#endif +} + + +clause* sat_solver_propagate(sat_solver* s) +{ + lbool* values = s->assigns; + clause* confl = (clause*)0; + lit* lits; + + //printf("sat_solver_propagate\n"); + while (confl == 0 && s->qtail - s->qhead > 0){ + lit p = s->trail[s->qhead++]; + vecp* ws = sat_solver_read_wlist(s,p); + clause **begin = (clause**)vecp_begin(ws); + clause **end = begin + vecp_size(ws); + clause **i, **j; + + s->stats.propagations++; + s->simpdb_props--; + + //printf("checking lit %d: "L_LIT"\n", veci_size(ws), L_lit(p)); + for (i = j = begin; i < end; ){ + if (clause_is_lit(*i)){ + *j++ = *i; + if (!enqueue(s,clause_read_lit(*i),clause_from_lit(p))){ + confl = s->binary; + (clause_begin(confl))[1] = lit_neg(p); + (clause_begin(confl))[0] = clause_read_lit(*i++); + + // Copy the remaining watches: + while (i < end) + *j++ = *i++; + } + }else{ + lit false_lit; + lbool sig; + + lits = clause_begin(*i); + + // Make sure the false literal is data[1]: + false_lit = lit_neg(p); + if (lits[0] == false_lit){ + lits[0] = lits[1]; + lits[1] = false_lit; + } + assert(lits[1] == false_lit); + //printf("checking clause: "); printlits(lits, lits+clause_size(*i)); printf("\n"); + + // If 0th watch is true, then clause is already satisfied. + sig = !lit_sign(lits[0]); sig += sig - 1; + if (values[lit_var(lits[0])] == sig){ + *j++ = *i; + }else{ + // Look for new watch: + lit* stop = lits + clause_size(*i); + lit* k; + for (k = lits + 2; k < stop; k++){ + lbool sig = lit_sign(*k); sig += sig - 1; + if (values[lit_var(*k)] != sig){ + lits[1] = *k; + *k = false_lit; + vecp_push(sat_solver_read_wlist(s,lit_neg(lits[1])),*i); + goto next; } + } + + *j++ = *i; + // Clause is unit under assignment: + if (!enqueue(s,lits[0], *i)){ + confl = *i++; + // Copy the remaining watches: + while (i < end) + *j++ = *i++; + } + } + } + next: + i++; + } + + s->stats.inspects += j - (clause**)vecp_begin(ws); + vecp_resize(ws,j - (clause**)vecp_begin(ws)); + } + + return confl; +} + +static inline int clause_cmp (const void* x, const void* y) { + return clause_size((clause*)x) > 2 && (clause_size((clause*)y) == 2 || clause_activity((clause*)x) < clause_activity((clause*)y)) ? -1 : 1; } + +void sat_solver_reducedb(sat_solver* s) +{ + int i, j; + double extra_lim = s->cla_inc / vecp_size(&s->learnts); // Remove any clause below this activity + clause** learnts = (clause**)vecp_begin(&s->learnts); + clause** reasons = s->reasons; + + sat_solver_sort(vecp_begin(&s->learnts), vecp_size(&s->learnts), &clause_cmp); + + for (i = j = 0; i < vecp_size(&s->learnts) / 2; i++){ + if (clause_size(learnts[i]) > 2 && reasons[lit_var(*clause_begin(learnts[i]))] != learnts[i]) + clause_remove(s,learnts[i]); + else + learnts[j++] = learnts[i]; + } + for (; i < vecp_size(&s->learnts); i++){ + if (clause_size(learnts[i]) > 2 && reasons[lit_var(*clause_begin(learnts[i]))] != learnts[i] && clause_activity(learnts[i]) < extra_lim) + clause_remove(s,learnts[i]); + else + learnts[j++] = learnts[i]; + } + + //printf("reducedb deleted %d\n", vecp_size(&s->learnts) - j); + + + vecp_resize(&s->learnts,j); +} + +static lbool sat_solver_search(sat_solver* s, int nof_conflicts, int nof_learnts) +{ + int* levels = s->levels; + double var_decay = 0.95; + double clause_decay = 0.999; + double random_var_freq = 0.02; + + int conflictC = 0; + veci learnt_clause; + + assert(s->root_level == sat_solver_dlevel(s)); + + s->stats.starts++; + s->var_decay = (float)(1 / var_decay ); + s->cla_decay = (float)(1 / clause_decay); + veci_resize(&s->model,0); + veci_new(&learnt_clause); + + for (;;){ + clause* confl = sat_solver_propagate(s); + if (confl != 0){ + // CONFLICT + int blevel; + +#ifdef VERBOSEDEBUG + printf(L_IND"**CONFLICT**\n", L_ind); +#endif + s->stats.conflicts++; conflictC++; + if (sat_solver_dlevel(s) == s->root_level){ + veci_delete(&learnt_clause); + return l_False; + } + + veci_resize(&learnt_clause,0); + sat_solver_analyze(s, confl, &learnt_clause); + blevel = veci_size(&learnt_clause) > 1 ? levels[lit_var(veci_begin(&learnt_clause)[1])] : s->root_level; + blevel = s->root_level > blevel ? s->root_level : blevel; + sat_solver_canceluntil(s,blevel); + sat_solver_record(s,&learnt_clause); + act_var_decay(s); + act_clause_decay(s); + + }else{ + // NO CONFLICT + int next; + + if (nof_conflicts >= 0 && conflictC >= nof_conflicts){ + // Reached bound on number of conflicts: + s->progress_estimate = sat_solver_progress(s); + sat_solver_canceluntil(s,s->root_level); + veci_delete(&learnt_clause); + return l_Undef; } + + if (sat_solver_dlevel(s) == 0) + // Simplify the set of problem clauses: + sat_solver_simplify(s); + + if (nof_learnts >= 0 && vecp_size(&s->learnts) - s->qtail >= nof_learnts) + // Reduce the set of learnt clauses: + sat_solver_reducedb(s); + + // New variable decision: + s->stats.decisions++; + next = order_select(s,(float)random_var_freq); + + if (next == var_Undef){ + // Model found: + lbool* values = s->assigns; + int i; + veci_resize(&s->model, 0); + for (i = 0; i < s->size; i++) + veci_push(&s->model,(int)values[i]); + sat_solver_canceluntil(s,s->root_level); + veci_delete(&learnt_clause); + + /* + veci apa; veci_new(&apa); + for (i = 0; i < s->size; i++) + veci_push(&apa,(int)(s->model.ptr[i] == l_True ? toLit(i) : lit_neg(toLit(i)))); + printf("model: "); printlits((lit*)apa.ptr, (lit*)apa.ptr + veci_size(&apa)); printf("\n"); + veci_delete(&apa); + */ + + return l_True; + } + + assume(s,lit_neg(toLit(next))); + } + } + + return l_Undef; // cannot happen +} + +//================================================================================================= +// External solver functions: + +sat_solver* sat_solver_new(void) +{ + sat_solver* s = (sat_solver*)malloc(sizeof(sat_solver)); + memset( s, 0, sizeof(sat_solver) ); + + // initialize vectors + vecp_new(&s->clauses); + vecp_new(&s->learnts); + veci_new(&s->order); + veci_new(&s->trail_lim); + veci_new(&s->tagged); + veci_new(&s->stack); + veci_new(&s->model); + + // initialize arrays + s->wlists = 0; + s->activity = 0; + s->assigns = 0; + s->orderpos = 0; + s->reasons = 0; + s->levels = 0; + s->tags = 0; + s->trail = 0; + + + // initialize other vars + s->size = 0; + s->cap = 0; + s->qhead = 0; + s->qtail = 0; + s->cla_inc = 1; + s->cla_decay = 1; + s->var_inc = 1; + s->var_decay = 1; + s->root_level = 0; + s->simpdb_assigns = 0; + s->simpdb_props = 0; + s->random_seed = 91648253; + s->progress_estimate = 0; + s->binary = (clause*)malloc(sizeof(clause) + sizeof(lit)*2); + s->binary->size_learnt = (2 << 1); + s->verbosity = 0; + + s->stats.starts = 0; + s->stats.decisions = 0; + s->stats.propagations = 0; + s->stats.inspects = 0; + s->stats.conflicts = 0; + s->stats.clauses = 0; + s->stats.clauses_literals = 0; + s->stats.learnts = 0; + s->stats.learnts_literals = 0; + s->stats.max_literals = 0; + s->stats.tot_literals = 0; + + return s; +} + + +void sat_solver_delete(sat_solver* s) +{ + int i; + for (i = 0; i < vecp_size(&s->clauses); i++) + free(vecp_begin(&s->clauses)[i]); + + for (i = 0; i < vecp_size(&s->learnts); i++) + free(vecp_begin(&s->learnts)[i]); + + // delete vectors + vecp_delete(&s->clauses); + vecp_delete(&s->learnts); + veci_delete(&s->order); + veci_delete(&s->trail_lim); + veci_delete(&s->tagged); + veci_delete(&s->stack); + veci_delete(&s->model); + free(s->binary); + + // delete arrays + if (s->wlists != 0){ + int i; + for (i = 0; i < s->size*2; i++) + vecp_delete(&s->wlists[i]); + + // if one is different from null, all are + free(s->wlists); + free(s->activity ); + free(s->assigns ); + free(s->orderpos ); + free(s->reasons ); + free(s->levels ); + free(s->trail ); + free(s->tags ); + } + + free(s); +} + + +bool sat_solver_addclause(sat_solver* s, lit* begin, lit* end) +{ + lit *i,*j; + int maxvar; + lbool* values; + lit last; + + if (begin == end) return false; + + //printlits(begin,end); printf("\n"); + // insertion sort + maxvar = lit_var(*begin); + for (i = begin + 1; i < end; i++){ + lit l = *i; + maxvar = lit_var(l) > maxvar ? lit_var(l) : maxvar; + for (j = i; j > begin && *(j-1) > l; j--) + *j = *(j-1); + *j = l; + } + sat_solver_setnvars(s,maxvar+1); + + //printlits(begin,end); printf("\n"); + values = s->assigns; + + // delete duplicates + last = lit_Undef; + for (i = j = begin; i < end; i++){ + //printf("lit: "L_LIT", value = %d\n", L_lit(*i), (lit_sign(*i) ? -values[lit_var(*i)] : values[lit_var(*i)])); + lbool sig = !lit_sign(*i); sig += sig - 1; + if (*i == lit_neg(last) || sig == values[lit_var(*i)]) + return true; // tautology + else if (*i != last && values[lit_var(*i)] == l_Undef) + last = *j++ = *i; + } + + //printf("final: "); printlits(begin,j); printf("\n"); + + if (j == begin) // empty clause + return false; + else if (j - begin == 1) // unit clause + return enqueue(s,*begin,(clause*)0); + + // create new clause + vecp_push(&s->clauses,clause_new(s,begin,j,0)); + + + s->stats.clauses++; + s->stats.clauses_literals += j - begin; + + return true; +} + + +bool sat_solver_simplify(sat_solver* s) +{ + clause** reasons; + int type; + + assert(sat_solver_dlevel(s) == 0); + + if (sat_solver_propagate(s) != 0) + return false; + + if (s->qhead == s->simpdb_assigns || s->simpdb_props > 0) + return true; + + reasons = s->reasons; + for (type = 0; type < 2; type++){ + vecp* cs = type ? &s->learnts : &s->clauses; + clause** cls = (clause**)vecp_begin(cs); + + int i, j; + for (j = i = 0; i < vecp_size(cs); i++){ + if (reasons[lit_var(*clause_begin(cls[i]))] != cls[i] && + clause_simplify(s,cls[i]) == l_True) + clause_remove(s,cls[i]); + else + cls[j++] = cls[i]; + } + vecp_resize(cs,j); + } + + s->simpdb_assigns = s->qhead; + // (shouldn't depend on 'stats' really, but it will do for now) + s->simpdb_props = (int)(s->stats.clauses_literals + s->stats.learnts_literals); + + return true; +} + + +int sat_solver_solve(sat_solver* s, lit* begin, lit* end) +{ + double nof_conflicts = 100; + double nof_learnts = sat_solver_nclauses(s) / 3; + lbool status = l_Undef; + lbool* values = s->assigns; + lit* i; + + //printf("solve: "); printlits(begin, end); printf("\n"); + for (i = begin; i < end; i++){ + switch (lit_sign(*i) ? -values[lit_var(*i)] : values[lit_var(*i)]){ + case 1: /* l_True: */ + break; + case 0: /* l_Undef */ + assume(s, *i); + if (sat_solver_propagate(s) == NULL) + break; + // falltrough + case -1: /* l_False */ + sat_solver_canceluntil(s, 0); + return l_False; + } + } + + s->root_level = sat_solver_dlevel(s); + + if (s->verbosity >= 1){ + printf("==================================[MINISAT]===================================\n"); + printf("| Conflicts | ORIGINAL | LEARNT | Progress |\n"); + printf("| | Clauses Literals | Limit Clauses Literals Lit/Cl | |\n"); + printf("==============================================================================\n"); + } + + while (status == l_Undef){ + double Ratio = (s->stats.learnts == 0)? 0.0 : + s->stats.learnts_literals / (double)s->stats.learnts; + + if (s->verbosity >= 1){ + printf("| %9.0f | %7.0f %8.0f | %7.0f %7.0f %8.0f %7.1f | %6.3f %% |\n", + (double)s->stats.conflicts, + (double)s->stats.clauses, + (double)s->stats.clauses_literals, + (double)nof_learnts, + (double)s->stats.learnts, + (double)s->stats.learnts_literals, + Ratio, + s->progress_estimate*100); + fflush(stdout); + } + status = sat_solver_search(s,(int)nof_conflicts, (int)nof_learnts); + nof_conflicts *= 1.5; + nof_learnts *= 1.1; + } + if (s->verbosity >= 1) + printf("==============================================================================\n"); + + sat_solver_canceluntil(s,0); + return status; +} + + +int sat_solver_nvars(sat_solver* s) +{ + return s->size; +} + + +int sat_solver_nclauses(sat_solver* s) +{ + return vecp_size(&s->clauses); +} + + +int sat_solver_nconflicts(sat_solver* s) +{ + return (int)s->stats.conflicts; +} + +//================================================================================================= +// Sorting functions (sigh): + +static inline void selectionsort(void** array, int size, int(*comp)(const void *, const void *)) +{ + int i, j, best_i; + void* tmp; + + for (i = 0; i < size-1; i++){ + best_i = i; + for (j = i+1; j < size; j++){ + if (comp(array[j], array[best_i]) < 0) + best_i = j; + } + tmp = array[i]; array[i] = array[best_i]; array[best_i] = tmp; + } +} + + +static void sortrnd(void** array, int size, int(*comp)(const void *, const void *), double* seed) +{ + if (size <= 15) + selectionsort(array, size, comp); + + else{ + void* pivot = array[irand(seed, size)]; + void* tmp; + int i = -1; + int j = size; + + for(;;){ + do i++; while(comp(array[i], pivot)<0); + do j--; while(comp(pivot, array[j])<0); + + if (i >= j) break; + + tmp = array[i]; array[i] = array[j]; array[j] = tmp; + } + + sortrnd(array , i , comp, seed); + sortrnd(&array[i], size-i, comp, seed); + } +} + +void sat_solver_sort(void** array, int size, int(*comp)(const void *, const void *)) +{ + double seed = 91648253; + sortrnd(array,size,comp,&seed); +} |