static int weak_essential(int*sig,int*repr,int src,int label,int dest,int tau){
int set,set2;
for(set=sig[repr[src]];set!=EMPTY_SET;set=SetGetParent(set)){
if (SetGetLabel(set)==label){
for(set2=sig[repr[SetGetDest(set)]];set2!=EMPTY_SET;set2=SetGetParent(set2)){
if (SetGetLabel(set2)==tau && SetGetDest(set2)==dest) return 0;
}
}
}
if (label==tau) return 1;
for(set=sig[repr[src]];set!=EMPTY_SET;set=SetGetParent(set)){
if (SetGetLabel(set)==tau){
for(set2=sig[repr[SetGetDest(set)]];set2!=EMPTY_SET;set2=SetGetParent(set2)){
if (SetGetLabel(set2)==label && SetGetDest(set2)==dest) return 0;
}
}
}
return 1;
}
static int mkdet_next(lts_t orig,int l,int S){
int T,s,i;
if (S==EMPTY_SET) return EMPTY_SET;
T=mkdet_next(orig,l,SetGetParent(S));
s=SetGetDest(S);
for(i=orig->begin[s];i<orig->begin[s+1];i++){
if(orig->label[i]==l){
T=SetInsert(T,0,orig->dest[i]);
}
}
return T;
}
void setbased_weak_reduce(lts_t lts){
int tau,count,i,iter,setcount,set,*repr,t_count,num_states;
int *map,*newmap;
tau=lts->tau;
lts_tau_cycle_elim(lts);
Print(info,"size after tau cycle elimination is %d states and %d transitions",lts->states,lts->transitions);
num_states=lts->states;
map=(int*)malloc(sizeof(int)*lts->states);
newmap=(int*)malloc(sizeof(int)*lts->states);
lts_sort(lts);
lts_set_type(lts,LTS_BLOCK_INV);
for(i=0;i<num_states;i++){
map[i]=0;
newmap[i]=EMPTY_SET;
}
count=1;
iter=0;
for(;;){
SetClear(-1);
iter++;
for(i=0;i<num_states;i++){
dfs_weak_tau(lts,tau,map,newmap,i,map[i]);
}
SetSetTag(newmap[lts->root_list[0]],0);
setcount=1;
for(i=0;i<num_states;i++){
set=newmap[i];
if (SetGetTag(set)<0) {
//fprintf(stderr,"new set:");
//PrintSet(stderr,set);
//fprintf(stderr,"\n");
SetSetTag(set,setcount);
setcount++;
}
}
Print(info,"count is %d",setcount);
//for(i=0;i<num_states;i++){
// fprintf(stderr,"%d: old %d new %d sig ",i,map[i],SetGetTag(newmap[i]));
// SetPrintIndex(stderr,newmap[i],lts->label_string);
// fprintf(stderr,"\n");
//}
if(count==setcount) break;
count=setcount;
for(i=0;i<num_states;i++){
map[i]=SetGetTag(newmap[i]);
newmap[i]=EMPTY_SET;
}
}
repr=(int*)malloc(sizeof(int)*count);
for(i=0;i<count;i++) {
repr[i]=-1;
}
t_count=0;
for(i=0;i<(int)lts->states;i++){
if(repr[map[i]]==-1){
repr[map[i]]=i;
t_count+=SetGetSize(newmap[i]);
}
}
lts_set_type(lts,LTS_BLOCK);
lts_set_size(lts,lts->root_count,count,t_count);
uint32_t r_count=0;
for(i=0;i<(int)lts->root_count;i++){
uint32_t tmp=map[lts->root_list[i]];
uint32_t j=0;
for(;j<r_count;j++){
if (tmp==lts->root_list[j]){
break;
}
}
if (j==r_count){
lts->root_list[r_count]=tmp;
r_count++;
}
}
lts->begin[0]=0;
for(i=0;i<(int)lts->states;i++){
count=lts->begin[i];
set=newmap[repr[i]];
while(set!=EMPTY_SET){
if(weak_essential(newmap,repr,i,SetGetLabel(set),SetGetDest(set),tau)){
lts->label[count]=SetGetLabel(set);
lts->dest[count]=SetGetDest(set);
count++;
}
set=SetGetParent(set);
}
lts->begin[i+1]=count;
}
lts_set_size(lts,r_count,lts->states,count);
SetFree();
free(newmap);
free(map);
free(repr);
Print(info,"set2 reduction took %d iterations",iter);
}
void set_reduce_tau_star_a(lts_t lts){
int tau,*map,count,*newmap,i,*tmp,iter,s,l,d,setcount,j,set,tau_count,a_count;
int reachable,r_count,t_count,*repr;
lts_t inv;
tau=lts->tau;
if (tau_cycle_elim) {
lts_tau_cycle_elim(lts);
Warning(1,"size after tau cycle elimination is %d states and %d transitions",lts->states,lts->transitions);
}
if (tau_indir_elim) {
lts_tau_indir_elim(lts);
Warning(1,"size after trivial tau elimination is %d states and %d transitions",lts->states,lts->transitions);
}
map=(int*)malloc(sizeof(int)*lts->states);
newmap=(int*)malloc(sizeof(int)*lts->states);
lts_set_type(lts,LTS_LIST);
inv=lts_create();
lts_set_type(inv,LTS_LIST);
lts_set_size(inv,lts->states,lts->transitions);
inv->root=0;
tau_count=0;
a_count=0;
for(i=0;i<lts->states;i++){
map[i]=0;
}
map[lts->root]=1;
for(i=0;i<lts->transitions;i++) {
if (lts->label[i]!=tau) map[lts->dest[i]]++;
}
reachable=0;
for(i=0;i<lts->states;i++){
if(map[i]!=0){
newmap[i]=reachable;
reachable++;
} else {
newmap[i]=(lts->states)+reachable-i-1;
}
}
Warning(1,"%d states are reachable",reachable);
for(i=0;i<lts->transitions;i++) {
if (lts->label[i]==tau){
inv->src[tau_count]=newmap[lts->dest[i]];
inv->label[tau_count]=lts->label[i];
inv->dest[tau_count]=newmap[lts->src[i]];
tau_count++;
} else {
lts->src[a_count]=newmap[lts->src[i]];
lts->label[a_count]=lts->label[i];
lts->dest[a_count]=newmap[lts->dest[i]];
a_count++;
}
}
lts_set_size(inv,lts->states,tau_count);
lts_set_size(lts,lts->states,a_count);
lts_sort(lts);
lts_set_type(lts,LTS_BLOCK);
lts_set_type(inv,LTS_BLOCK);
for(i=0;i<lts->states;i++){
map[i]=0;
newmap[i]=EMPTY_SET;
}
count=1;
iter=0;
for(;;){
SetClear(-1);
iter++;
for(i=0;i<lts->states;i++){
for(j=lts->begin[i];j<lts->begin[i+1];j++){
dfs_insert_tau_star_a(inv,newmap,lts->label[j],map[lts->dest[j]],i);
}
}
SetSetTag(newmap[lts->root],0);
setcount=1;
for(i=0;i<lts->states;i++){
if (SetGetTag(newmap[i])<0) {
//fprintf(stderr,"new set:");
//PrintSet(stderr,set);
//fprintf(stderr,"\n");
SetSetTag(newmap[i],setcount);
setcount++;
}
if (i==(reachable -1)) {
Warning(2,"reachable count is %d",setcount);
r_count=setcount;
}
}
Warning(2,"count is %d",setcount);
if(count==setcount) break;
count=setcount;
for(i=0;i<lts->states;i++){
map[i]=SetGetTag(newmap[i]);
newmap[i]=EMPTY_SET;
}
}
repr=(int*)malloc(sizeof(int)*r_count);
for(i=0;i<r_count;i++) {
repr[i]=-1;
}
t_count=0;
for(i=0;i<reachable;i++){
if(repr[map[i]]==-1){
repr[map[i]]=i;
t_count+=SetGetSize(newmap[i]);
}
}
lts_set_size(lts,r_count,t_count);
lts->root=0;
lts->begin[0]=0;
for(i=0;i<r_count;i++){
count=lts->begin[i];
set=newmap[repr[i]];
while(set!=EMPTY_SET){
lts->label[count]=SetGetLabel(set);
lts->dest[count]=SetGetDest(set);
set=SetGetParent(set);
count++;
}
lts->begin[i+1]=count;
}
SetFree();
free(newmap);
free(map);
free(repr);
Warning(1,"reduction took %d iterations",iter);
}
void set_reduce_branching2(lts_t lts){
int tau,count,i,*tmp,iter,s,l,d,setcount,j,set,*repr,t_count,tag,num_states,last_trans;
//int *map,*newmap;
//lts_t inv;
tau=lts->tau;
lts_divergence_marking(lts);
if (tau_cycle_elim) {
lts_tau_cycle_elim(lts);
Warning(1,"size after tau cycle elimination is %d states and %d transitions",lts->states,lts->transitions);
}
if (tau_indir_elim) {
lts_tau_indir_elim(lts);
Warning(1,"size after trivial tau elimination is %d states and %d transitions",lts->states,lts->transitions);
}
num_states=lts->states;
map=(int*)malloc(sizeof(int)*lts->states);
newmap=(int*)malloc(sizeof(int)*lts->states);
lts_set_type(lts,LTS_LIST);
inv=lts_create();
lts_set_type(inv,LTS_LIST);
lts_set_size(inv,lts->states,lts->transitions);
inv->root=0;
count=0;
for(i=0;i<lts->transitions;i++) if (lts->label[i]==tau){
inv->src[count]=lts->dest[i];
inv->label[count]=lts->label[i];
inv->dest[count]=lts->src[i];
count++;
}
lts_set_size(inv,lts->states,count);
lts_sort(lts);
lts_set_type(lts,LTS_BLOCK);
lts_set_type(inv,LTS_BLOCK);
for(i=0;i<num_states;i++){
map[i]=0;
newmap[i]=EMPTY_SET;
}
count=1;
iter=0;
for(;;){
SetClear(-1);
iter++;
for(i=0;i<num_states;i++){
last_trans=lts->begin[i+1];
for(j=lts->begin[i];j<last_trans;j++){
label=lts->label[j];
dest=map[lts->dest[j]];
if (label!=tau || map[i]!=dest) {
//dfs_insert(inv,map,newmap,lts->label[j],map[lts->dest[j]],i);
dfs_insert(i);
}
}
}
SetSetTag(newmap[lts->root],0);
setcount=1;
for(i=0;i<num_states;i++){
set=newmap[i];
if (SetGetTag(set)<0) {
//fprintf(stderr,"new set:");
//PrintSet(stderr,set);
//fprintf(stderr,"\n");
SetSetTag(set,setcount);
setcount++;
}
}
Warning(2,"count is %d",setcount);
if(count==setcount) break;
count=setcount;
for(i=0;i<num_states;i++){
map[i]=SetGetTag(newmap[i]);
newmap[i]=EMPTY_SET;
}
}
repr=(int*)malloc(sizeof(int)*count);
for(i=0;i<count;i++) {
repr[i]=-1;
}
t_count=0;
for(i=0;i<lts->states;i++){
if(repr[map[i]]==-1){
repr[map[i]]=i;
t_count+=SetGetSize(newmap[i]);
}
}
lts_set_size(lts,count,t_count);
lts->root=0;
lts->root2=map[lts->root2];
lts->begin[0]=0;
for(i=0;i<lts->states;i++){
count=lts->begin[i];
set=newmap[repr[i]];
while(set!=EMPTY_SET){
lts->label[count]=SetGetLabel(set);
lts->dest[count]=SetGetDest(set);
set=SetGetParent(set);
count++;
}
lts->begin[i+1]=count;
}
SetFree();
free(newmap);
free(map);
free(repr);
Warning(1,"set2 reduction took %d iterations",iter);
}