1 | /**CFile*********************************************************************** |
---|
2 | |
---|
3 | FileName [bmcAutUtil.c] |
---|
4 | |
---|
5 | PackageName [bmc] |
---|
6 | |
---|
7 | Synopsis [Utility file for BMC_Automaton] |
---|
8 | |
---|
9 | Author [Mohammad Awedh] |
---|
10 | |
---|
11 | Copyright [This file was created at the University of Colorado at |
---|
12 | Boulder. The University of Colorado at Boulder makes no warranty |
---|
13 | about the suitability of this software for any purpose. It is |
---|
14 | presented on an AS IS basis.] |
---|
15 | ******************************************************************************/ |
---|
16 | |
---|
17 | #include "bmc.h" |
---|
18 | #include "bmcInt.h" |
---|
19 | |
---|
20 | static char rcsid[] UNUSED = "$Id: bmcAutUtil.c,v 1.18 2005/05/18 18:11:52 jinh Exp $"; |
---|
21 | |
---|
22 | /*---------------------------------------------------------------------------*/ |
---|
23 | /* Constant declarations */ |
---|
24 | /*---------------------------------------------------------------------------*/ |
---|
25 | |
---|
26 | /*---------------------------------------------------------------------------*/ |
---|
27 | /* Type declarations */ |
---|
28 | /*---------------------------------------------------------------------------*/ |
---|
29 | |
---|
30 | |
---|
31 | /*---------------------------------------------------------------------------*/ |
---|
32 | /* Structure declarations */ |
---|
33 | /*---------------------------------------------------------------------------*/ |
---|
34 | |
---|
35 | |
---|
36 | /*---------------------------------------------------------------------------*/ |
---|
37 | /* Variable declarations */ |
---|
38 | /*---------------------------------------------------------------------------*/ |
---|
39 | |
---|
40 | |
---|
41 | /**AutomaticStart*************************************************************/ |
---|
42 | |
---|
43 | /*---------------------------------------------------------------------------*/ |
---|
44 | /* Static function prototypes */ |
---|
45 | /*---------------------------------------------------------------------------*/ |
---|
46 | |
---|
47 | static st_table * AutomatonVertexGetImg(graph_t *G, vertex_t *vtx); |
---|
48 | static st_table * AutomatonVertexGetPreImg(graph_t *G, vertex_t *vtx); |
---|
49 | static int stIntersect(st_table *tbl1, st_table *tbl2); |
---|
50 | static int NoOfBitEncode(int n); |
---|
51 | static bdd_t * encodeOfInteger(mdd_manager *manager, array_t *varArray, int val); |
---|
52 | |
---|
53 | /**AutomaticEnd***************************************************************/ |
---|
54 | |
---|
55 | |
---|
56 | /*---------------------------------------------------------------------------*/ |
---|
57 | /* Definition of exported functions */ |
---|
58 | /*---------------------------------------------------------------------------*/ |
---|
59 | |
---|
60 | |
---|
61 | /*---------------------------------------------------------------------------*/ |
---|
62 | /* Definition of internal functions */ |
---|
63 | /*---------------------------------------------------------------------------*/ |
---|
64 | |
---|
65 | /**Function******************************************************************** |
---|
66 | |
---|
67 | Synopsis [Encode the states of the Automaton.] |
---|
68 | |
---|
69 | Description [] |
---|
70 | |
---|
71 | SideEffects [] |
---|
72 | |
---|
73 | SeeAlso [] |
---|
74 | |
---|
75 | ******************************************************************************/ |
---|
76 | void |
---|
77 | BmcAutEncodeAutomatonStates( |
---|
78 | Ntk_Network_t *network, |
---|
79 | Ltl_Automaton_t *automaton) |
---|
80 | { |
---|
81 | mdd_manager *manager = Ntk_NetworkReadMddManager(network); |
---|
82 | lsGen lsGen, lsGen1; |
---|
83 | vertex_t *vtx; |
---|
84 | Ltl_AutomatonNode_t *node, *node1; |
---|
85 | Ctlsp_Formula_t *F; |
---|
86 | mdd_t *label; |
---|
87 | |
---|
88 | int i; |
---|
89 | |
---|
90 | /* |
---|
91 | Build the mdd of the labels of each automaton node |
---|
92 | */ |
---|
93 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
94 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
95 | if (node->Labels) { |
---|
96 | label = mdd_one(manager); |
---|
97 | for (i=0; i<array_n(automaton->labelTable); i++) { |
---|
98 | if (LtlSetGetElt(node->Labels, i)) { |
---|
99 | F = array_fetch(Ctlsp_Formula_t *, automaton->labelTable, i); |
---|
100 | label = mdd_and(label, BmcAutBuildMddForPropositionalFormula(network, automaton, F), 1, 1); |
---|
101 | } |
---|
102 | } |
---|
103 | node->Encode = label; |
---|
104 | } |
---|
105 | } |
---|
106 | /* |
---|
107 | Encode automaton labels |
---|
108 | */ |
---|
109 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
110 | bdd_t *newVar = NULL; |
---|
111 | |
---|
112 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
113 | foreach_vertex(automaton->G, lsGen1, vtx) { |
---|
114 | node1 = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
115 | if(node != node1){ |
---|
116 | if(newVar == NULL){ |
---|
117 | newVar = bdd_create_variable(manager); |
---|
118 | node->Encode = bdd_and(node->Encode, newVar, 1, 1); |
---|
119 | } |
---|
120 | node1->Encode = bdd_and(node1->Encode, bdd_not(newVar), 1, 1); |
---|
121 | } |
---|
122 | } |
---|
123 | } |
---|
124 | } /* BmcAutEncodeAutomatonStates() */ |
---|
125 | |
---|
126 | |
---|
127 | /**Function******************************************************************** |
---|
128 | |
---|
129 | Synopsis [Encode the states of the Automaton.] |
---|
130 | |
---|
131 | Description [The labels of each node in the automaton are |
---|
132 | propositional and are asserted by state variables in the original |
---|
133 | model. So, we uses these labels as part of the state encoding of the |
---|
134 | automaton. If two nodes cannot be uniquely specified, then we use |
---|
135 | new variables] |
---|
136 | |
---|
137 | SideEffects [] |
---|
138 | |
---|
139 | SeeAlso [] |
---|
140 | |
---|
141 | ******************************************************************************/ |
---|
142 | void |
---|
143 | BmcAutEncodeAutomatonStates2( |
---|
144 | Ntk_Network_t *network, |
---|
145 | Ltl_Automaton_t *automaton) |
---|
146 | { |
---|
147 | mdd_manager *manager = Ntk_NetworkReadMddManager(network); |
---|
148 | lsGen lsGen, lsGen1; |
---|
149 | vertex_t *vtx; |
---|
150 | Ltl_AutomatonNode_t *node, *node1; |
---|
151 | Ctlsp_Formula_t *F; |
---|
152 | mdd_t *label; |
---|
153 | |
---|
154 | int i; |
---|
155 | |
---|
156 | /* |
---|
157 | Build the mdd for the labels of each automaton node. |
---|
158 | */ |
---|
159 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
160 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
161 | if (node->Labels) { |
---|
162 | label = mdd_one(manager); |
---|
163 | for (i=0; i<array_n(automaton->labelTable); i++) { |
---|
164 | if (LtlSetGetElt(node->Labels, i)) { |
---|
165 | F = array_fetch(Ctlsp_Formula_t *, automaton->labelTable, i); |
---|
166 | label = mdd_and(label, BmcAutBuildMddForPropositionalFormula(network, automaton, F), 1, 1); |
---|
167 | } |
---|
168 | } |
---|
169 | node->Encode = label; |
---|
170 | } |
---|
171 | } |
---|
172 | /* |
---|
173 | Three cases: |
---|
174 | 1- node and node1 are both = 1 |
---|
175 | 2- node1 = 1 |
---|
176 | 3- neither node nor nod1 equal to 1 |
---|
177 | */ |
---|
178 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
179 | bdd_t *newVar = NULL; |
---|
180 | st_table *preState, *preState1; |
---|
181 | |
---|
182 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
183 | preState = AutomatonVertexGetPreImg(automaton->G, vtx); |
---|
184 | |
---|
185 | foreach_vertex(automaton->G, lsGen1, vtx) { |
---|
186 | node1 = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
187 | if(node != node1){ |
---|
188 | if (!mdd_is_tautology(mdd_and(node->Encode, node1->Encode, 1,1),0)){ |
---|
189 | preState1 = AutomatonVertexGetPreImg(automaton->G, vtx); |
---|
190 | if (stIntersect(preState, preState1)){ |
---|
191 | if(mdd_equal(node->Encode, mdd_one(manager)) && !mdd_equal(node1->Encode, mdd_one(manager))){ |
---|
192 | node->Encode = bdd_not(node1->Encode); |
---|
193 | } else |
---|
194 | if(mdd_equal(node1->Encode, mdd_one(manager)) && !mdd_equal(node->Encode, mdd_one(manager))){ |
---|
195 | node1->Encode = bdd_not(node->Encode); |
---|
196 | } else { |
---|
197 | if(newVar == NULL){ |
---|
198 | newVar = bdd_create_variable(manager); |
---|
199 | } |
---|
200 | node1->Encode = bdd_and(node1->Encode, bdd_not(newVar), 1, 1); |
---|
201 | node->Encode = bdd_and(node->Encode, bdd_not(node1->Encode), 1, 1); |
---|
202 | } |
---|
203 | } else { |
---|
204 | if(newVar == NULL){ |
---|
205 | newVar = bdd_create_variable(manager); |
---|
206 | node->Encode = bdd_and(node->Encode, newVar, 1, 1); |
---|
207 | } |
---|
208 | node1->Encode = bdd_and(node1->Encode, bdd_not(newVar), 1, 1); |
---|
209 | } |
---|
210 | } |
---|
211 | } |
---|
212 | } |
---|
213 | } |
---|
214 | |
---|
215 | #if 0 |
---|
216 | /* |
---|
217 | Encode the automaton labels |
---|
218 | */ |
---|
219 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
220 | bdd_t *newVar = NULL; |
---|
221 | st_table *nextStates; |
---|
222 | Ltl_AutomatonNode_t *nextState; |
---|
223 | st_generator *stGen; |
---|
224 | |
---|
225 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
226 | nextStates = AutomatonVertexGetImg(automaton->G, vtx); |
---|
227 | |
---|
228 | st_foreach_item(nextStates, stGen, (char **)&vtx, NIL(char *)) { |
---|
229 | nextState = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
230 | |
---|
231 | if(node != nextState){ |
---|
232 | if (!mdd_is_tautology(mdd_and(node->Encode, nextState->Encode, 1,1),0)){ |
---|
233 | printf("n%d intersects n%d\n", node->index, nextState->index); |
---|
234 | if(newVar == NULL){ |
---|
235 | newVar = bdd_create_variable(manager); |
---|
236 | /*node->Encode = bdd_and(node->Encode, newVar, 1, 1);*/ |
---|
237 | } |
---|
238 | nextState->Encode = bdd_and(nextState->Encode, bdd_not(newVar), 1, 1); |
---|
239 | node->Encode = bdd_and(node->Encode, bdd_not(nextState->Encode), 1, 1); |
---|
240 | } |
---|
241 | } |
---|
242 | } |
---|
243 | } |
---|
244 | #endif |
---|
245 | |
---|
246 | } /* BmcAutEncodeAutomatonStates2() */ |
---|
247 | |
---|
248 | /**Function******************************************************************** |
---|
249 | |
---|
250 | Synopsis [Encode the states of the Automaton.] |
---|
251 | |
---|
252 | Description [The labels of each node in the automaton are |
---|
253 | propositional and are asserted by state variables in the original |
---|
254 | model. So, we uses these labels as part of the state encoding of the |
---|
255 | automaton. If two nodes cannot be uniquely specified, then we use |
---|
256 | new variables] |
---|
257 | |
---|
258 | SideEffects [] |
---|
259 | |
---|
260 | SeeAlso [] |
---|
261 | |
---|
262 | ******************************************************************************/ |
---|
263 | void |
---|
264 | BmcAutEncodeAutomatonStates3( |
---|
265 | Ntk_Network_t *network, |
---|
266 | Ltl_Automaton_t *automaton) |
---|
267 | { |
---|
268 | mdd_manager *manager = Ntk_NetworkReadMddManager(network); |
---|
269 | lsGen lsGen; |
---|
270 | st_generator *stGen, *stGen1; |
---|
271 | vertex_t *vtx, *vtx1; |
---|
272 | Ltl_AutomatonNode_t *node, *node1; |
---|
273 | Ctlsp_Formula_t *F; |
---|
274 | bdd_t *label; |
---|
275 | |
---|
276 | int i; |
---|
277 | int noOfStates=0; |
---|
278 | int noOfBits; |
---|
279 | array_t *varArray = array_alloc(bdd_t*,0); |
---|
280 | |
---|
281 | /* |
---|
282 | Build the bdd for the labels of each automaton node. |
---|
283 | */ |
---|
284 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
285 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
286 | if (node->Labels) { |
---|
287 | noOfStates++; |
---|
288 | label = bdd_one(manager); |
---|
289 | for (i=0; i<array_n(automaton->labelTable); i++) { |
---|
290 | if (LtlSetGetElt(node->Labels, i)) { |
---|
291 | F = array_fetch(Ctlsp_Formula_t *, automaton->labelTable, i); |
---|
292 | label = bdd_and(label, BmcAutBuildMddForPropositionalFormula(network, automaton, F), 1, 1); |
---|
293 | } |
---|
294 | } |
---|
295 | node->Encode = label; |
---|
296 | } |
---|
297 | } |
---|
298 | |
---|
299 | st_foreach_item(automaton->Init, stGen, &vtx, NULL) { |
---|
300 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
301 | st_foreach_item(automaton->Init, stGen1, &vtx1, NULL) { |
---|
302 | node1 = (Ltl_AutomatonNode_t *) vtx1->user_data; |
---|
303 | if(node != node1){ |
---|
304 | if(mdd_equal(node->Encode, mdd_one(manager)) && !mdd_equal(node1->Encode, mdd_one(manager))){ |
---|
305 | node->Encode = bdd_not(node1->Encode); |
---|
306 | } else |
---|
307 | if(mdd_equal(node1->Encode, mdd_one(manager)) && !mdd_equal(node->Encode, mdd_one(manager))){ |
---|
308 | node1->Encode = bdd_not(node->Encode); |
---|
309 | } |
---|
310 | } |
---|
311 | } |
---|
312 | } |
---|
313 | |
---|
314 | noOfBits = NoOfBitEncode(noOfStates); |
---|
315 | for(i=0; i< noOfBits; i++){ |
---|
316 | array_insert_last(bdd_t*, varArray, bdd_create_variable(manager)); |
---|
317 | } |
---|
318 | i=0; |
---|
319 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
320 | node = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
321 | if (node->Labels) { |
---|
322 | node->Encode = bdd_and(node->Encode, encodeOfInteger(manager, varArray, i), 1, 1); |
---|
323 | i++; |
---|
324 | } |
---|
325 | } |
---|
326 | } /* BmcAutEncodeAutomatonStates3() */ |
---|
327 | |
---|
328 | |
---|
329 | /**Function******************************************************************** |
---|
330 | |
---|
331 | Synopsis [Build BDD of the transition relation of the Automaton.] |
---|
332 | |
---|
333 | Description [] |
---|
334 | |
---|
335 | SideEffects [] |
---|
336 | |
---|
337 | SeeAlso [] |
---|
338 | |
---|
339 | ******************************************************************************/ |
---|
340 | void |
---|
341 | BmcAutBuildTransitionRelation( |
---|
342 | Ntk_Network_t *network, |
---|
343 | Ltl_Automaton_t *automaton) |
---|
344 | { |
---|
345 | mdd_manager *manager = Ntk_NetworkReadMddManager(network); |
---|
346 | lsGen lsGen; |
---|
347 | st_generator *stGen; |
---|
348 | vertex_t *vtx, *vtx1; |
---|
349 | Ltl_AutomatonNode_t *state, *nextState; |
---|
350 | |
---|
351 | |
---|
352 | |
---|
353 | bdd_t *nextStateBdd, *transitionRelation; |
---|
354 | bdd_t *initialState, *fairSet, *fairState; |
---|
355 | int i; |
---|
356 | bdd_t *bddVar; |
---|
357 | st_table *nextStates; |
---|
358 | var_set_t *psSupport, *nsSupport; |
---|
359 | st_table *FairSet = 0; |
---|
360 | array_t *fairSetArray; |
---|
361 | |
---|
362 | /* |
---|
363 | psNsTable (Bdd Id, bdd_t*) |
---|
364 | */ |
---|
365 | st_table *psNsTable = st_init_table(st_numcmp, st_numhash); |
---|
366 | /* |
---|
367 | nsPsTable (BDD Id, BDD Id) |
---|
368 | */ |
---|
369 | st_table *nsPsTable = st_init_table(st_numcmp, st_numhash); |
---|
370 | |
---|
371 | boolean isComplemented; |
---|
372 | int nodeIndex; |
---|
373 | |
---|
374 | /* |
---|
375 | Initialization |
---|
376 | */ |
---|
377 | transitionRelation = bdd_zero(manager); |
---|
378 | |
---|
379 | /* |
---|
380 | Build the transition relation |
---|
381 | */ |
---|
382 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
383 | state = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
384 | /* |
---|
385 | support is the set of the bddId of the bdd node in the support of the bdd function. |
---|
386 | */ |
---|
387 | psSupport = bdd_get_support(state->Encode); |
---|
388 | for(i=0; i<psSupport->n_elts; i++) { |
---|
389 | if (var_set_get_elt(psSupport, i) == 1) { |
---|
390 | /* |
---|
391 | i is the bdd Id of the variable in the support of the function. |
---|
392 | */ |
---|
393 | if (!st_lookup(psNsTable, (char *)(long) i, NULL)){ |
---|
394 | bddVar = bdd_create_variable(manager); |
---|
395 | nodeIndex = bdd_node_read_index(bdd_get_node(bddVar, &isComplemented)); |
---|
396 | st_insert(psNsTable, (char *) (long) i, (char *) bddVar); |
---|
397 | st_insert(nsPsTable, (char *) (long) nodeIndex, (char *) (long)i); |
---|
398 | } |
---|
399 | } |
---|
400 | } |
---|
401 | /* |
---|
402 | Get the next states. |
---|
403 | */ |
---|
404 | nextStates = AutomatonVertexGetImg(automaton->G, vtx); |
---|
405 | st_foreach_item(nextStates, stGen, &vtx1, NULL) { |
---|
406 | nextState = (Ltl_AutomatonNode_t *) vtx1->user_data; |
---|
407 | |
---|
408 | nextStateBdd = bdd_dup(nextState->Encode); |
---|
409 | nsSupport = bdd_get_support(nextStateBdd); |
---|
410 | for(i=0; i<nsSupport->n_elts; i++) { |
---|
411 | if (var_set_get_elt(nsSupport, i) == 1) { |
---|
412 | bdd_t *tmp; |
---|
413 | |
---|
414 | if (!st_lookup(psNsTable, (char *)(long)i, &bddVar)){ |
---|
415 | bddVar = bdd_create_variable(manager); |
---|
416 | nodeIndex = bdd_node_read_index(bdd_get_node(bddVar, &isComplemented)); |
---|
417 | st_insert(psNsTable, (char *) (long) i, (char *) bddVar); |
---|
418 | st_insert(nsPsTable, (char *) (long) nodeIndex, (char *) (long)i); |
---|
419 | } |
---|
420 | tmp = nextStateBdd; |
---|
421 | nextStateBdd = bdd_compose(nextStateBdd, bdd_get_variable(manager, i), bddVar); |
---|
422 | bdd_free(tmp); |
---|
423 | } |
---|
424 | } |
---|
425 | transitionRelation = bdd_or(transitionRelation, bdd_and(state->Encode, nextStateBdd,1 ,1) ,1 ,1); |
---|
426 | |
---|
427 | } /* for each next states*/ |
---|
428 | } /* for each present state */ |
---|
429 | |
---|
430 | fairSetArray = array_alloc(bdd_t*, 0); |
---|
431 | fairSet = 0; |
---|
432 | if (lsLength(automaton->Fair) != 0) { |
---|
433 | fairSet = bdd_zero(manager); |
---|
434 | lsForEachItem(automaton->Fair, lsGen, FairSet) { |
---|
435 | fairState = bdd_zero(manager); |
---|
436 | st_foreach_item(FairSet, stGen, &vtx, NULL) { |
---|
437 | state = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
438 | fairState = bdd_or(fairState, state->Encode,1,1); |
---|
439 | } |
---|
440 | array_insert_last(bdd_t*, fairSetArray, fairState); |
---|
441 | fairSet = bdd_or(fairSet, fairState,1,1); |
---|
442 | } |
---|
443 | } |
---|
444 | initialState = bdd_zero(manager); |
---|
445 | st_foreach_item(automaton->Init, stGen, &vtx, NULL) { |
---|
446 | state = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
447 | initialState = bdd_or(initialState, state->Encode, 1, 1); |
---|
448 | } |
---|
449 | automaton->transitionRelation = transitionRelation; |
---|
450 | automaton->initialStates = initialState; |
---|
451 | automaton->fairSets = fairSet; |
---|
452 | automaton->psNsTable = psNsTable; |
---|
453 | automaton->nsPsTable = nsPsTable; |
---|
454 | automaton->fairSetArray = fairSetArray; |
---|
455 | |
---|
456 | } /* BmcAutBuildTransitionRelation() */ |
---|
457 | |
---|
458 | |
---|
459 | /**Function******************************************************************** |
---|
460 | |
---|
461 | Synopsis [Build MDD for a propositional formula.] |
---|
462 | |
---|
463 | Description [Build MDD for a propositional formula. Returns NIL if the conversion |
---|
464 | fails. The calling application is responsible for freeing the returned MDD.] |
---|
465 | |
---|
466 | SideEffects [] |
---|
467 | |
---|
468 | SeeAlso [] |
---|
469 | |
---|
470 | ******************************************************************************/ |
---|
471 | mdd_t * |
---|
472 | BmcAutBuildMddForPropositionalFormula( |
---|
473 | Ntk_Network_t *network, |
---|
474 | Ltl_Automaton_t *automaton, |
---|
475 | Ctlsp_Formula_t *formula) |
---|
476 | { |
---|
477 | mdd_manager *manager = Ntk_NetworkReadMddManager(network); |
---|
478 | mdd_t *left, *right, *result; |
---|
479 | |
---|
480 | |
---|
481 | if (formula == NIL(Ctlsp_Formula_t)) { |
---|
482 | return NIL(mdd_t); |
---|
483 | } |
---|
484 | if (formula->type == Ctlsp_TRUE_c){ |
---|
485 | return bdd_one(manager); |
---|
486 | } |
---|
487 | if (formula->type == Ctlsp_FALSE_c){ |
---|
488 | return mdd_zero(manager); |
---|
489 | } |
---|
490 | |
---|
491 | if (!Ctlsp_isPropositionalFormula(formula)) { |
---|
492 | (void) fprintf(vis_stderr, "bmc error: Only propositional formula can be converted to bdd \n"); |
---|
493 | fprintf(vis_stdout, "\nFormula: "); |
---|
494 | Ctlsp_FormulaPrint(vis_stdout, formula); |
---|
495 | fprintf(vis_stdout, "\n"); |
---|
496 | return NIL(mdd_t); |
---|
497 | } |
---|
498 | /* |
---|
499 | Atomic proposition. |
---|
500 | */ |
---|
501 | if (formula->type == Ctlsp_ID_c){ |
---|
502 | int is_complemented; |
---|
503 | bdd_node *funcNode; |
---|
504 | |
---|
505 | result = BmcModelCheckAtomicFormula(Fsm_NetworkReadOrCreateFsm(network), formula); |
---|
506 | funcNode = bdd_get_node(result, &is_complemented); |
---|
507 | if(is_complemented){ |
---|
508 | funcNode = bdd_not_bdd_node(funcNode); |
---|
509 | } |
---|
510 | return result; |
---|
511 | } |
---|
512 | /* |
---|
513 | right can be NIL(mdd_t) for unery operators, but left can't be NIL(mdd_t) |
---|
514 | */ |
---|
515 | left = BmcAutBuildMddForPropositionalFormula(network, automaton, formula->left); |
---|
516 | if (left == NIL(mdd_t)){ |
---|
517 | return NIL(mdd_t); |
---|
518 | } |
---|
519 | right = BmcAutBuildMddForPropositionalFormula(network, automaton, formula->right); |
---|
520 | /*assert(right != NIL(mdd_t)); */ |
---|
521 | switch(formula->type) { |
---|
522 | case Ctlsp_NOT_c: |
---|
523 | result = mdd_not(left); |
---|
524 | break; |
---|
525 | case Ctlsp_OR_c: |
---|
526 | result = mdd_or(left, right, 1, 1); |
---|
527 | break; |
---|
528 | case Ctlsp_AND_c: |
---|
529 | result = mdd_and(left, right, 1, 1); |
---|
530 | break; |
---|
531 | case Ctlsp_THEN_c: |
---|
532 | result = mdd_or(left, right, 0, 1); |
---|
533 | break; |
---|
534 | case Ctlsp_EQ_c: |
---|
535 | result = mdd_xnor(left, right); |
---|
536 | break; |
---|
537 | case Ctlsp_XOR_c: |
---|
538 | result = mdd_xor(left, right); |
---|
539 | break; |
---|
540 | default: |
---|
541 | /* |
---|
542 | return NIL(mdd_t) if the type is not supported |
---|
543 | */ |
---|
544 | fail("Unexpected type"); |
---|
545 | } |
---|
546 | return result; |
---|
547 | } |
---|
548 | |
---|
549 | /**Function******************************************************************** |
---|
550 | |
---|
551 | Synopsis [Generate CNF for a given BDD function.] |
---|
552 | |
---|
553 | Description [Generate CNF for a BDD function. This function first |
---|
554 | negates the BDD function, and then generates the CNF corresponding |
---|
555 | to the OFF-set of the negated function. If the BDD node is a next |
---|
556 | state variable, we use the BDD index of the present state variable |
---|
557 | corresponding to this variable. We could do this by searching the |
---|
558 | nsPSTable. If trans ==1, this function generates a CNF for a |
---|
559 | transition from current state to next state, otherwise it generates |
---|
560 | CNF for NO transition. |
---|
561 | |
---|
562 | The function calling this function must add a unit clause to set the |
---|
563 | returned value to positive (for function to be true) or negative |
---|
564 | (for function to be false). |
---|
565 | |
---|
566 | ] |
---|
567 | |
---|
568 | SideEffects [] |
---|
569 | |
---|
570 | SeeAlso [] |
---|
571 | |
---|
572 | ******************************************************************************/ |
---|
573 | int |
---|
574 | BmcAutGenerateCnfForBddOffSet( |
---|
575 | bdd_t *function, |
---|
576 | int current, |
---|
577 | int next, |
---|
578 | BmcCnfClauses_t *cnfClauses, |
---|
579 | st_table *nsPsTable) |
---|
580 | { |
---|
581 | bdd_manager *bddManager = bdd_get_manager(function); |
---|
582 | bdd_node *node, *funcNode; |
---|
583 | int is_complemented; |
---|
584 | bdd_gen *gen; |
---|
585 | int varIndex; |
---|
586 | array_t *tmpClause; |
---|
587 | array_t *cube; |
---|
588 | int i, value; |
---|
589 | int state = current; |
---|
590 | bdd_t *bddFunction; |
---|
591 | bdd_t *newVar; |
---|
592 | |
---|
593 | int total=0, ndc=0; |
---|
594 | float per; |
---|
595 | |
---|
596 | if (function == NULL){ |
---|
597 | return 0; |
---|
598 | } |
---|
599 | |
---|
600 | funcNode = bdd_get_node(function, &is_complemented); |
---|
601 | |
---|
602 | if (bdd_is_constant(funcNode)){ |
---|
603 | if (is_complemented){ |
---|
604 | /* add an empty clause to indicate FALSE (un-satisfiable)*/ |
---|
605 | BmcAddEmptyClause(cnfClauses); |
---|
606 | } |
---|
607 | /*bdd_free(bddFunction); |
---|
608 | bdd_free(newVar);*/ |
---|
609 | return 0; |
---|
610 | } |
---|
611 | |
---|
612 | newVar = bdd_create_variable(bddManager); |
---|
613 | bddFunction = bdd_xnor(newVar, function); |
---|
614 | bddFunction = bdd_not(bddFunction); |
---|
615 | |
---|
616 | foreach_bdd_cube(bddFunction, gen, cube){ |
---|
617 | tmpClause = array_alloc(int,0); |
---|
618 | arrayForEachItem(int, cube, i, value) { |
---|
619 | total++; |
---|
620 | if (value != 2){ |
---|
621 | int j; |
---|
622 | |
---|
623 | ndc++; |
---|
624 | /* |
---|
625 | If the BDD varaible is a next state varaible, we use the corresponding |
---|
626 | current state varaible but with next state index. |
---|
627 | */ |
---|
628 | |
---|
629 | if (nsPsTable && st_lookup_int(nsPsTable, (char *)(long)i, &j)){ |
---|
630 | node = bdd_bdd_ith_var(bddManager, j); |
---|
631 | state = next; |
---|
632 | } else { |
---|
633 | node = bdd_bdd_ith_var(bddManager, i); |
---|
634 | state = current; |
---|
635 | } |
---|
636 | varIndex = BmcGetCnfVarIndexForBddNode(bddManager, bdd_regular(node), state, cnfClauses); |
---|
637 | if (value == 1){ |
---|
638 | varIndex = -varIndex; |
---|
639 | } |
---|
640 | array_insert_last(int, tmpClause, varIndex); |
---|
641 | } |
---|
642 | } |
---|
643 | BmcCnfInsertClause(cnfClauses, tmpClause); |
---|
644 | array_free(tmpClause); |
---|
645 | }/* foreach_bdd_cube() */ |
---|
646 | varIndex = BmcGetCnfVarIndexForBddNode(bddManager, |
---|
647 | bdd_regular(bdd_get_node(newVar, &is_complemented)), |
---|
648 | current, cnfClauses); |
---|
649 | per = ((float) ((float)ndc/(float)total))*100; |
---|
650 | return (varIndex); |
---|
651 | } /* BmcAutGenerateCnfForBddOffSet() */ |
---|
652 | |
---|
653 | |
---|
654 | /**Function******************************************************************** |
---|
655 | |
---|
656 | Synopsis [Alloc Memory for BmcCheckForTermination_t] |
---|
657 | |
---|
658 | SideEffects [] |
---|
659 | |
---|
660 | SeeAlso [] |
---|
661 | ******************************************************************************/ |
---|
662 | BmcCheckForTermination_t * |
---|
663 | BmcAutTerminationAlloc( |
---|
664 | Ntk_Network_t *network, |
---|
665 | Ctlsp_Formula_t *ltlFormula, |
---|
666 | array_t *constraintArray) |
---|
667 | { |
---|
668 | BmcCheckForTermination_t *result = ALLOC(BmcCheckForTermination_t, 1); |
---|
669 | Ltl_Automaton_t *automaton; |
---|
670 | LtlMcOption_t *ltlOptions = LtlMcOptionAlloc(); |
---|
671 | |
---|
672 | if (!result){ |
---|
673 | return result; |
---|
674 | } |
---|
675 | /* |
---|
676 | Build the Buechi Automaton for the negation of the LTL formula. |
---|
677 | */ |
---|
678 | ltlOptions->algorithm = Ltl2Aut_WRING_c; |
---|
679 | ltlOptions->rewriting = TRUE; |
---|
680 | ltlOptions->prunefair = TRUE; |
---|
681 | ltlOptions->iocompatible = TRUE; |
---|
682 | ltlOptions->directsim = TRUE; |
---|
683 | ltlOptions->reversesim = TRUE; |
---|
684 | ltlOptions->verbosity = McVerbosityNone_c; |
---|
685 | ltlOptions->noStrengthReduction = 1; |
---|
686 | |
---|
687 | automaton = LtlMcFormulaToAutomaton(network, ltlFormula, ltlOptions, 0); |
---|
688 | assert(automaton != NIL(Ltl_Automaton_t)); |
---|
689 | |
---|
690 | /*BmcAutEncodeAutomatonStates(network, automaton); */ |
---|
691 | /*mcAutEncodeAutomatonStates2(network, automaton);*/ |
---|
692 | BmcAutEncodeAutomatonStates3(network, automaton); |
---|
693 | BmcAutBuildTransitionRelation(network, automaton); |
---|
694 | |
---|
695 | LtlMcOptionFree(ltlOptions); |
---|
696 | |
---|
697 | result->k = 0; |
---|
698 | result->m = -1; |
---|
699 | result->n = -1; |
---|
700 | result->checkLevel = 0; |
---|
701 | result->action = 0; |
---|
702 | result->automaton = automaton; |
---|
703 | |
---|
704 | result->externalConstraints = NIL(Ctlsp_Formula_t); |
---|
705 | if(constraintArray != NIL(array_t)){ |
---|
706 | Ctlsp_Formula_t *formula1, *formula2; |
---|
707 | int j; |
---|
708 | |
---|
709 | formula1 = NIL(Ctlsp_Formula_t); |
---|
710 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula2) { |
---|
711 | formula2 = Ctlsp_FormulaDup(formula2); |
---|
712 | if(formula1 == NIL(Ctlsp_Formula_t)) { |
---|
713 | formula1 = formula2; |
---|
714 | } else { |
---|
715 | formula1 = Ctlsp_FormulaCreate(Ctlsp_OR_c, formula1, formula2); |
---|
716 | } |
---|
717 | } |
---|
718 | result->externalConstraints = formula1; |
---|
719 | } |
---|
720 | result->internalConstraints = automaton->fairSets; |
---|
721 | return result; |
---|
722 | } |
---|
723 | |
---|
724 | /**Function******************************************************************** |
---|
725 | |
---|
726 | Synopsis [Convert LTL to Automaton] |
---|
727 | |
---|
728 | Description [] |
---|
729 | SideEffects [] |
---|
730 | |
---|
731 | SeeAlso [] |
---|
732 | ******************************************************************************/ |
---|
733 | Ltl_Automaton_t * |
---|
734 | BmcAutLtlToAutomaton( |
---|
735 | Ntk_Network_t *network, |
---|
736 | Ctlsp_Formula_t *ltlFormula) |
---|
737 | { |
---|
738 | Ltl_Automaton_t *automaton; |
---|
739 | LtlMcOption_t *ltlOptions = LtlMcOptionAlloc(); |
---|
740 | |
---|
741 | /* |
---|
742 | Build the Buechi Automaton for the negation of the LTL formula. |
---|
743 | */ |
---|
744 | ltlOptions->algorithm = Ltl2Aut_WRING_c; |
---|
745 | ltlOptions->rewriting = TRUE; |
---|
746 | ltlOptions->prunefair = TRUE; |
---|
747 | ltlOptions->iocompatible = TRUE; |
---|
748 | ltlOptions->directsim = TRUE; |
---|
749 | ltlOptions->reversesim = TRUE; |
---|
750 | ltlOptions->verbosity = McVerbosityNone_c; |
---|
751 | ltlOptions->noStrengthReduction = 1; |
---|
752 | |
---|
753 | automaton = LtlMcFormulaToAutomaton(network, ltlFormula, ltlOptions, 0); |
---|
754 | assert(automaton != NIL(Ltl_Automaton_t)); |
---|
755 | |
---|
756 | return automaton; |
---|
757 | } |
---|
758 | |
---|
759 | |
---|
760 | /**Function******************************************************************** |
---|
761 | |
---|
762 | Synopsis [Free BmcCheckForTermination_t.] |
---|
763 | |
---|
764 | SideEffects [] |
---|
765 | |
---|
766 | SeeAlso [] |
---|
767 | ******************************************************************************/ |
---|
768 | void |
---|
769 | BmcAutTerminationFree( |
---|
770 | BmcCheckForTermination_t *result) |
---|
771 | { |
---|
772 | LtlTableau_t *tableau; |
---|
773 | Ltl_Automaton_t *automaton = result->automaton; |
---|
774 | |
---|
775 | tableau = automaton->tableau; |
---|
776 | Ltl_AutomatonFree((gGeneric) automaton); |
---|
777 | LtlTableauFree(tableau); |
---|
778 | if(result->externalConstraints != NIL(Ctlsp_Formula_t)){ |
---|
779 | Ctlsp_FormulaFree(result->externalConstraints); |
---|
780 | } |
---|
781 | |
---|
782 | FREE(result); |
---|
783 | } |
---|
784 | |
---|
785 | |
---|
786 | /*---------------------------------------------------------------------------*/ |
---|
787 | /* Definition of static functions */ |
---|
788 | /*---------------------------------------------------------------------------*/ |
---|
789 | |
---|
790 | /**Function******************************************************************** |
---|
791 | |
---|
792 | Synopsis [Return the image of the given vertex in the hash table.] |
---|
793 | |
---|
794 | SideEffects [Result should be freed by the caller.] |
---|
795 | |
---|
796 | ******************************************************************************/ |
---|
797 | static st_table * |
---|
798 | AutomatonVertexGetImg( |
---|
799 | graph_t *G, |
---|
800 | vertex_t *vtx) |
---|
801 | { |
---|
802 | lsList Img; |
---|
803 | lsGen lsgen; |
---|
804 | edge_t *e; |
---|
805 | vertex_t *s; |
---|
806 | st_table *uTable; |
---|
807 | |
---|
808 | Img = g_get_out_edges(vtx); |
---|
809 | |
---|
810 | uTable = st_init_table(st_ptrcmp, st_ptrhash); |
---|
811 | lsForEachItem(Img, lsgen, e) { |
---|
812 | s = g_e_dest(e); |
---|
813 | st_insert(uTable, (char *) s, (char *) s); |
---|
814 | } |
---|
815 | |
---|
816 | return uTable; |
---|
817 | } |
---|
818 | |
---|
819 | /**Function******************************************************************** |
---|
820 | |
---|
821 | Synopsis [Return the pre-image of the given vertex in the hash table.] |
---|
822 | |
---|
823 | SideEffects [Result should be freed by the caller.] |
---|
824 | |
---|
825 | ******************************************************************************/ |
---|
826 | static st_table * |
---|
827 | AutomatonVertexGetPreImg( |
---|
828 | graph_t *G, |
---|
829 | vertex_t *vtx) |
---|
830 | { |
---|
831 | lsList preImg; |
---|
832 | lsGen lsgen; |
---|
833 | edge_t *e; |
---|
834 | vertex_t *s; |
---|
835 | st_table *uTable; |
---|
836 | |
---|
837 | preImg = g_get_in_edges(vtx); |
---|
838 | |
---|
839 | uTable = st_init_table(st_ptrcmp, st_ptrhash); |
---|
840 | lsForEachItem(preImg, lsgen, e) { |
---|
841 | s = g_e_source(e); |
---|
842 | st_insert(uTable, (char *) s, (char *) s); |
---|
843 | } |
---|
844 | |
---|
845 | return uTable; |
---|
846 | } |
---|
847 | |
---|
848 | /**Function******************************************************************** |
---|
849 | |
---|
850 | Synopsis [Return 1 if tbl1 and tbl2 two intersects.] |
---|
851 | |
---|
852 | SideEffects [] |
---|
853 | |
---|
854 | ******************************************************************************/ |
---|
855 | static int |
---|
856 | stIntersect( |
---|
857 | st_table *tbl1, |
---|
858 | st_table *tbl2) |
---|
859 | { |
---|
860 | st_generator *stgen; |
---|
861 | vertex_t *vtx; |
---|
862 | |
---|
863 | st_foreach_item(tbl1, stgen, &vtx, NULL) { |
---|
864 | if (st_is_member(tbl2,(char *)vtx)) { |
---|
865 | st_free_gen(stgen); |
---|
866 | return 1; |
---|
867 | } |
---|
868 | } |
---|
869 | return 0; |
---|
870 | } |
---|
871 | |
---|
872 | /**Function******************************************************************** |
---|
873 | |
---|
874 | Synopsis [Returns no. of Bit encoding needed for n] |
---|
875 | |
---|
876 | Description [] |
---|
877 | |
---|
878 | SideEffects [] |
---|
879 | |
---|
880 | SeeAlso [] |
---|
881 | |
---|
882 | ******************************************************************************/ |
---|
883 | static int |
---|
884 | NoOfBitEncode( |
---|
885 | int n) |
---|
886 | { |
---|
887 | int i = 0; |
---|
888 | int j = 1; |
---|
889 | |
---|
890 | if (n < 2) return 1; /* Takes care of value <= 1 */ |
---|
891 | |
---|
892 | while (j < n) { |
---|
893 | j = j * 2; |
---|
894 | i++; |
---|
895 | } |
---|
896 | return i; |
---|
897 | } |
---|
898 | |
---|
899 | /**Function******************************************************************** |
---|
900 | |
---|
901 | Synopsis [Returns no. of Bit encoding needed for n] |
---|
902 | |
---|
903 | Description [] |
---|
904 | |
---|
905 | SideEffects [] |
---|
906 | |
---|
907 | SeeAlso [] |
---|
908 | |
---|
909 | ******************************************************************************/ |
---|
910 | static bdd_t * |
---|
911 | encodeOfInteger( |
---|
912 | mdd_manager *manager, |
---|
913 | array_t *varArray, |
---|
914 | int val) |
---|
915 | { |
---|
916 | int i; |
---|
917 | bdd_t *returnValue = mdd_one(manager); |
---|
918 | int tmp = val; |
---|
919 | bdd_t *var; |
---|
920 | |
---|
921 | for(i=0; i< array_n(varArray); i++){ |
---|
922 | var = array_fetch(bdd_t*, varArray, i); |
---|
923 | if(tmp%2 == 0){ |
---|
924 | returnValue = bdd_and(returnValue, var, 1, 0); |
---|
925 | } else { |
---|
926 | returnValue = bdd_and(returnValue, var, 1, 1); |
---|
927 | } |
---|
928 | tmp = tmp / 2; |
---|
929 | } |
---|
930 | return returnValue; |
---|
931 | } |
---|
932 | |
---|