#include #include #include #include #include #include "/sys/src/libregexp/regcomp.h" #include "dfa.h" void rdump(Reprog*); void dump(Dreprog*); /* * Standard NFA determinization and DFA minimization. */ typedef struct Deter Deter; typedef struct Reiset Reiset; void ddump(Deter*); /* state of determinization */ struct Deter { jmp_buf kaboom; /* jmp on error */ Bin *bin; /* bin for temporary allocations */ Reprog *p; /* program being determinized */ uint ninst; /* number of instructions in program */ Reiset *alloc; /* chain of all Reisets */ Reiset **last; Reiset **hash; /* hash of all Reisets */ uint nhash; Reiset *tmp; /* temporaries for walk */ uchar *bits; Rune *c; /* ``interesting'' characters */ uint nc; }; /* set of Reinsts: perhaps we should use a bit list instead of the indices? */ struct Reiset { uint *inst; /* indices of instructions in set */ uint ninst; /* size of set */ Reiset *next; /* d.alloc chain */ Reiset *hash; /* d.hash chain */ Reiset **delta; /* where to go on each interesting char */ uint id; /* assigned id during minimization */ uint isfinal; /* is an accepting (final) state */ }; static Reiset* ralloc(Deter *d, int ninst) { Reiset *t; t = binalloc(&d->bin, sizeof(Reiset)+2*d->nc*sizeof(Reiset*)+sizeof(uint)*ninst, 0); if(t == nil) longjmp(d->kaboom, 1); t->delta = (Reiset**)&t[1]; t->inst = (uint*)&t->delta[2*d->nc]; return t; } /* find the canonical form a given Reiset */ static Reiset* findreiset(Deter *d, Reiset *s) { int i, szinst; uint h; Reiset *t; h = 0; for(i=0; ininst; i++) h = h*1000003 + s->inst[i]; h %= d->nhash; szinst = s->ninst*sizeof(s->inst[0]); for(t=d->hash[h]; t; t=t->hash) if(t->ninst==s->ninst && memcmp(t->inst, s->inst, szinst)==0) return t; t = ralloc(d, s->ninst); t->hash = d->hash[h]; d->hash[h] = t; *d->last = t; d->last = &t->next; t->next = 0; t->ninst = s->ninst; memmove(t->inst, s->inst, szinst); /* delta is filled in later */ return t; } /* convert bits to a real reiset */ static Reiset* bits2reiset(Deter *d, uchar *bits) { int k; Reiset *s; s = d->tmp; s->ninst = 0; for(k=0; kninst; k++) if(bits[k]) s->inst[s->ninst++] = k; return findreiset(d, s); } /* add n to state set; if n < k, need to go around again */ static int add(int n, uchar *bits, int k) { if(bits[n]) return 0; bits[n] = 1; return n < k; } /* update bits to follow all the empty (non-character-related) transitions possible */ static void followempty(Deter *d, uchar *bits, int bol, int eol) { int again, k; Reinst *i; do{ again = 0; for(i=d->p->firstinst, k=0; k < d->ninst; i++, k++){ if(!bits[k]) continue; switch(i->type){ case RBRA: case LBRA: again |= add(i->next - d->p->firstinst, bits, k); break; case OR: again |= add(i->left - d->p->firstinst, bits, k); again |= add(i->right - d->p->firstinst, bits, k); break; case BOL: if(bol) again |= add(i->next - d->p->firstinst, bits, k); break; case EOL: if(eol) again |= add(i->next - d->p->firstinst, bits, k); break; } } }while(again); /* * Clear bits for useless transitions. We could do this during * the switch above, but then we have no guarantee of termination * if we get a loop in the regexp. */ for(i=d->p->firstinst, k=0; k < d->ninst; i++, k++){ if(!bits[k]) continue; switch(i->type){ case RBRA: case LBRA: case OR: case BOL: case EOL: bits[k] = 0; break; } } } /* * Where does s go if it sees rune r? * Eol is true if a $ matches the string at the position just after r. */ static Reiset* transition(Deter *d, Reiset *s, Rune r, uint eol) { int k; uchar *bits; Reinst *i, *inst0; Rune *rp, *ep; bits = d->bits; memset(bits, 0, d->ninst); inst0 = d->p->firstinst; for(k=0; k < s->ninst; k++){ i = inst0 + s->inst[k]; switch(i->type){ default: werrstr("bad reprog: got type %d", i->type); longjmp(d->kaboom, 1); case RBRA: case LBRA: case OR: case BOL: case EOL: werrstr("internal error: got type %d", i->type); longjmp(d->kaboom, 1); case RUNE: if(r == i->r) bits[i->next - inst0] = 1; break; case ANY: if(r != L'\n') bits[i->next - inst0] = 1; break; case ANYNL: bits[i->next - inst0] = 1; break; case NCCLASS: if(r == L'\n') break; /* fall through */ case CCLASS: ep = i->cp->end; for(rp = i->cp->spans; rp < ep; rp += 2) if(rp[0] <= r && r <= rp[1]) break; if((rp < ep) ^! (i->type == CCLASS)) bits[i->next - inst0] = 1; break; case END: break; } } followempty(d, bits, r=='\n', eol); return bits2reiset(d, bits); } static int countinst(Reprog *pp) { int n; Reinst *l; n = 0; l = pp->firstinst; while(l++->type) n++; return n; } static void set(Deter *d, u32int **tab, Rune r) { u32int *u; if((u = tab[r/4096]) == nil){ u = binalloc(&d->bin, 4096/8, 1); if(u == nil) longjmp(d->kaboom, 1); tab[r/4096] = u; } u[(r%4096)/32] |= 1<<(r%32); } /* * Compute the list of important characters. * Other characters behave like the ones that surround them. */ static void findchars(Deter *d, Reprog *p) { u32int *tab[65536/4096], *u, x; Reinst *i; Rune *rp, *ep; int k, m, n, a; memset(tab, 0, sizeof tab); set(d, tab, 0); set(d, tab, 0xFFFF); for(i=p->firstinst; i->type; i++){ switch(i->type){ case ANY: set(d, tab, L'\n'-1); set(d, tab, L'\n'); set(d, tab, L'\n'+1); break; case RUNE: set(d, tab, i->r-1); set(d, tab, i->r); set(d, tab, i->r+1); break; case NCCLASS: set(d, tab, L'\n'-1); set(d, tab, L'\n'); set(d, tab, L'\n'+1); /* fall through */ case CCLASS: ep = i->cp->end; for(rp = i->cp->spans; rp < ep; rp += 2){ set(d, tab, rp[0]-1); set(d, tab, rp[0]); set(d, tab, rp[1]); set(d, tab, rp[1]+1); } break; } } n = 0; for(k=0; kc = binalloc(&d->bin, (n+1)*sizeof(Rune), 0); if(d->c == 0) longjmp(d->kaboom, 1); d->nc = n; n = 0; for(k=0; kc[n++] = k*4096+m*32+a; } } d->c[n] = 0; if(n != d->nc) abort(); } /* * convert the Deter and Reisets into a Dreprog. * if dp and c are nil, just return the count of Drecases needed. */ static int buildprog(Deter *d, Reiset **id2set, int nid, Dreprog *dp, Drecase *c) { int i, j, id, n, nn; Dreinst *di; Reiset *s; nn = 0; di = 0; for(i=0; iinst[i]; di->isfinal = s->isfinal; } n = 0; id = -1; for(j=0; j<2*d->nc; j++){ if(s->delta[j]->id != id){ id = s->delta[j]->id; if(c){ c[n].start = ((j/d->nc)<<16) | d->c[j%d->nc]; c[n].next = &dp->inst[id]; } n++; } } if(c){ if(n == 1 && c[0].next == di) di->isloop = 1; di->c = c; di->nc = n; c += n; } nn += n; } return nn; } Dreprog* dregcvt(Reprog *p) { uchar *bits; uint again, n, nid, id; Deter d; Reiset **id2set, *s, *t, *start[4]; Dreprog *dp; Drecase *c; memset(&d, 0, sizeof d); if(setjmp(d.kaboom)){ binfree(&d.bin); return nil; } d.p = p; d.ninst = countinst(p); d.last = &d.alloc; n = d.ninst; /* round up to power of two; this loop is the least of our efficiency problems */ while(n&(n-1)) n++; d.nhash = n; d.hash = binalloc(&d.bin, d.nhash*sizeof(Reinst*), 1); /* get list of important runes */ findchars(&d, p); #ifdef DUMP print("relevant chars are: «%S»\n", d.c+1); #endif d.bits = bits = binalloc(&d.bin, d.ninst, 0); d.tmp = ralloc(&d, d.ninst); /* * Convert to DFA */ /* 4 start states, depending on initial bol, eol */ for(n=0; n<4; n++){ memset(bits, 0, d.ninst); bits[p->startinst - p->firstinst] = 1; followempty(&d, bits, n&1, n&2); start[n] = bits2reiset(&d, bits); } /* explore the reiset space */ for(s=d.alloc; s; s=s->next) for(n=0; n<2*d.nc; n++) s->delta[n] = transition(&d, s, d.c[n%d.nc], n/d.nc); #ifdef DUMP nid = 0; for(s=d.alloc; s; s=s->next) s->id = nid++; ddump(&d); #endif /* * Minimize. */ /* first class division is final or not */ for(s=d.alloc; s; s=s->next){ s->isfinal = 0; for(n=0; nninst; n++) if(p->firstinst[s->inst[n]].type == END) s->isfinal = 1; s->id = s->isfinal; } /* divide states with different transition tables in id space */ nid = 2; do{ again = 0; for(s=d.alloc; s; s=s->next){ id = -1; for(t=s->next; t; t=t->next){ if(s->id != t->id) continue; for(n=0; n<2*d.nc; n++){ /* until we finish the for(t) loop, s->id and id are same */ if((s->delta[n]->id == t->delta[n]->id) || (s->delta[n]->id == s->id && t->delta[n]->id == id) || (s->delta[n]->id == id && t->delta[n]->id == s->id)) continue; break; } if(n == 2*d.nc) continue; if(id == -1) id = nid++; t->id = id; again = 1; } } }while(again); #ifdef DUMP ddump(&d); #endif /* build dreprog */ id2set = binalloc(&d.bin, nid*sizeof(Reiset*), 1); if(id2set == nil) longjmp(d.kaboom, 1); for(s=d.alloc; s; s=s->next) id2set[s->id] = s; n = buildprog(&d, id2set, nid, nil, nil); dp = mallocz(sizeof(Dreprog)+nid*sizeof(Dreinst)+n*sizeof(Drecase), 1); if(dp == nil) longjmp(d.kaboom, 1); c = (Drecase*)&dp->inst[nid]; buildprog(&d, id2set, nid, dp, c); for(n=0; n<4; n++) dp->start[n] = &dp->inst[start[n]->id]; dp->ninst = nid; binfree(&d.bin); return dp; } int dregexec(Dreprog *p, char *s, int bol) { Rune r; ulong rr; Dreinst *i; Drecase *c, *ec; int best, n; char *os; i = p->start[(bol ? 1 : 0) | (s[1]=='\n' ? 2 : 0)]; best = -1; os = s; for(; *s; s+=n){ if(i->isfinal) best = s - os; if(i->isloop){ if(i->isfinal) return strlen(os); else return best; } if((*s&0xFF) < Runeself){ r = *s; n = 1; }else n = chartorune(&r, s); c = i->c; ec = c+i->nc; rr = r; if(s[n] == '\n' || s[n] == '\0') rr |= 0x10000; for(; cstart > rr){ i = c[-1].next; goto Out; } } i = ec[-1].next; Out:; } if(i->isfinal) best = s - os; return best; } #ifdef DUMP void ddump(Deter *d) { int i, id; Reiset *s; for(s=d->alloc; s; s=s->next){ print("%d ", s->id); id = -1; for(i=0; i<2*d->nc; i++){ if(id != s->delta[i]->id){ if(i==0) print(" ["); else if(i/d->nc) print(" [%C$", d->c[i%d->nc]); else print(" [%C", d->c[i%d->nc]); print(" %d]", s->delta[i]->id); id = s->delta[i]->id; } } print("\n"); } } void rdump(Reprog *pp) { Reinst *l; Rune *p; l = pp->firstinst; do{ print("%ld:\t0%o\t%ld\t%ld", l-pp->firstinst, l->type, l->left-pp->firstinst, l->right-pp->firstinst); if(l->type == RUNE) print("\t%C\n", l->r); else if(l->type == CCLASS || l->type == NCCLASS){ print("\t["); if(l->type == NCCLASS) print("^"); for(p = l->cp->spans; p < l->cp->end; p += 2) if(p[0] == p[1]) print("%C", p[0]); else print("%C-%C", p[0], p[1]); print("]\n"); } else print("\n"); }while(l++->type); } void dump(Dreprog *pp) { int i, j; Dreinst *l; print("start %ld %ld %ld %ld\n", pp->start[0]-pp->inst, pp->start[1]-pp->inst, pp->start[2]-pp->inst, pp->start[3]-pp->inst); for(i=0; ininst; i++){ l = &pp->inst[i]; print("%d:", i); for(j=0; jnc; j++){ print(" ["); if(j == 0) if(l->c[j].start != 1) abort(); if(j != 0) print("%C%s", l->c[j].start&0xFFFF, (l->c[j].start&0x10000) ? "$" : ""); print("-"); if(j != l->nc-1) print("%C%s", (l->c[j+1].start&0xFFFF)-1, (l->c[j+1].start&0x10000) ? "$" : ""); print("] %ld", l->c[j].next - pp->inst); } if(l->isfinal) print(" final"); if(l->isloop) print(" loop"); print("\n"); } } void main(int argc, char **argv) { int i; Reprog *p; Dreprog *dp; i = 1; p = regcomp(argv[i]); if(p == 0){ print("=== %s: bad regexp\n", argv[i]); } // print("=== %s\n", argv[i]); // rdump(p); dp = dregcvt(p); print("=== dfa\n"); dump(dp); for(i=2; ininst; i++) nc += p->inst[i].nc; Bprint(b, "%d %d %ld %ld %ld %ld\n", p->ninst, nc, p->start[0]-p->inst, p->start[1]-p->inst, p->start[2]-p->inst, p->start[3]-p->inst); for(i=0; ininst; i++){ Bprint(b, "%d %d %d", p->inst[i].isfinal, p->inst[i].isloop, p->inst[i].nc); for(j=0; jinst[i].nc; j++) Bprint(b, " %d %ld", p->inst[i].c[j].start, p->inst[i].c[j].next-p->inst); Bprint(b, "\n"); } } static char* egetline(Biobuf *b, int c, jmp_buf jb) { char *p; p = Brdline(b, c); if(p == nil) longjmp(jb, 1); p[Blinelen(b)-1] = '\0'; return p; } static void egetc(Biobuf *b, int c, jmp_buf jb) { if(Bgetc(b) != c) longjmp(jb, 1); } static int egetnum(Biobuf *b, int want, jmp_buf jb) { int c; int n, first; n = 0; first = 1; while((c = Bgetc(b)) != Beof){ if(c < '0' || c > '9'){ if(want == 0){ Bungetc(b); c = 0; } if(first || c != want){ werrstr("format error"); longjmp(jb, 1); } return n; } n = n*10 + c - '0'; first = 0; } werrstr("unexpected eof"); longjmp(jb, 1); return -1; } Dreprog* Breaddfa(Biobuf *b) { char *s; int ninst, nc; jmp_buf jb; Dreprog *p; Drecase *c; Dreinst *l; int j, k; p = nil; if(setjmp(jb)){ free(p); return nil; } s = egetline(b, '\n', jb); if(strcmp(s, "# dreprog") != 0){ werrstr("format error"); longjmp(jb, 1); } ninst = egetnum(b, ' ', jb); nc = egetnum(b, ' ', jb); p = mallocz(sizeof(Dreprog)+ninst*sizeof(Dreinst)+nc*sizeof(Drecase), 1); if(p == nil) longjmp(jb, 1); c = (Drecase*)&p->inst[ninst]; p->start[0] = &p->inst[egetnum(b, ' ', jb)]; p->start[1] = &p->inst[egetnum(b, ' ', jb)]; p->start[2] = &p->inst[egetnum(b, ' ', jb)]; p->start[3] = &p->inst[egetnum(b, '\n', jb)]; for(j=0; jinst[j]; l->isfinal = egetnum(b, ' ', jb); l->isloop = egetnum(b, ' ', jb); l->nc = egetnum(b, 0, jb); l->c = c; for(k=0; knc; k++){ egetc(b, ' ', jb); c->start = egetnum(b, ' ', jb); c->next = &p->inst[egetnum(b, 0, jb)]; c++; } egetc(b, '\n', jb); } return p; }