1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
|
/**CFile****************************************************************
FileName [fraClass.c]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [New FRAIG package.]
Synopsis []
Author [Alan Mishchenko]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - June 30, 2007.]
Revision [$Id: fraClass.c,v 1.00 2007/06/30 00:00:00 alanmi Exp $]
***********************************************************************/
#include "fra.h"
/*
The candidate equivalence classes are stored as a vector of pointers
to the array of pointers to the nodes in each class.
The first node of the class is its representative node.
The representative has the smallest topological order among the class nodes.
The nodes inside each class are ordered according to their topological order.
The classes are ordered according to the topological order of their representatives.
The array of pointers to the class nodes is terminated with a NULL pointer.
To enable dynamic addition of new classes (during class refinement),
each array has at least as many NULLs in the end, as there are nodes in the class.
*/
////////////////////////////////////////////////////////////////////////
/// DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
static inline Aig_Obj_t * Fra_ObjNext( Aig_Obj_t ** ppNexts, Aig_Obj_t * pObj ) { return ppNexts[pObj->Id]; }
static inline void Fra_ObjSetNext( Aig_Obj_t ** ppNexts, Aig_Obj_t * pObj, Aig_Obj_t * pNext ) { ppNexts[pObj->Id] = pNext; }
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
/**Function*************************************************************
Synopsis [Starts representation of equivalence classes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Fra_Cla_t * Fra_ClassesStart( Aig_Man_t * pAig )
{
Fra_Cla_t * p;
p = ALLOC( Fra_Cla_t, 1 );
memset( p, 0, sizeof(Fra_Cla_t) );
p->pAig = pAig;
p->pMemRepr = ALLOC( Aig_Obj_t *, (Aig_ManObjIdMax(pAig) + 1) );
memset( p->pMemRepr, 0, sizeof(Aig_Obj_t *) * (Aig_ManObjIdMax(pAig) + 1) );
p->vClasses = Vec_PtrAlloc( 100 );
p->vClasses1 = Vec_PtrAlloc( 100 );
p->vClassesTemp = Vec_PtrAlloc( 100 );
p->vClassOld = Vec_PtrAlloc( 100 );
p->vClassNew = Vec_PtrAlloc( 100 );
return p;
}
/**Function*************************************************************
Synopsis [Stop representation of equivalence classes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fra_ClassesStop( Fra_Cla_t * p )
{
free( p->pMemClasses );
free( p->pMemRepr );
if ( p->vClassesTemp ) Vec_PtrFree( p->vClassesTemp );
if ( p->vClassNew ) Vec_PtrFree( p->vClassNew );
if ( p->vClassOld ) Vec_PtrFree( p->vClassOld );
if ( p->vClasses1 ) Vec_PtrFree( p->vClasses1 );
if ( p->vClasses ) Vec_PtrFree( p->vClasses );
free( p );
}
/**Function*************************************************************
Synopsis [Starts representation of equivalence classes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fra_ClassesCopyReprs( Fra_Cla_t * p, Vec_Ptr_t * vFailed )
{
Aig_Obj_t * pObj;
int i;
Aig_ManReprStart( p->pAig, Aig_ManObjIdMax(p->pAig) + 1 );
memmove( p->pAig->pReprs, p->pMemRepr, sizeof(Aig_Obj_t *) * (Aig_ManObjIdMax(p->pAig) + 1) );
Vec_PtrForEachEntry( vFailed, pObj, i )
{
// assert( p->pAig->pReprs[pObj->Id] != NULL );
p->pAig->pReprs[pObj->Id] = NULL;
}
}
/**Function*************************************************************
Synopsis [Prints simulation classes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fra_PrintClass( Aig_Obj_t ** pClass )
{
Aig_Obj_t * pTemp;
int i;
printf( "{ " );
for ( i = 0; pTemp = pClass[i]; i++ )
printf( "%d ", pTemp->Id );
printf( "}\n" );
}
/**Function*************************************************************
Synopsis [Prints simulation classes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
int Fra_ClassCount( Aig_Obj_t ** pClass )
{
Aig_Obj_t * pTemp;
int i;
for ( i = 0; pTemp = pClass[i]; i++ );
return i;
}
/**Function*************************************************************
Synopsis [Count the number of pairs.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
int Fra_ClassesCountPairs( Fra_Cla_t * p )
{
Aig_Obj_t ** pClass;
int i, nNodes, nPairs = 0;
Vec_PtrForEachEntry( p->vClasses, pClass, i )
{
nNodes = Fra_ClassCount( pClass );
assert( nNodes > 1 );
nPairs += nNodes * (nNodes - 1) / 2;
}
return nPairs;
}
/**Function*************************************************************
Synopsis [Count the number of literals.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
int Fra_ClassesCountLits( Fra_Cla_t * p )
{
Aig_Obj_t ** pClass;
int i, nNodes, nLits = 0;
nLits = Vec_PtrSize( p->vClasses1 );
Vec_PtrForEachEntry( p->vClasses, pClass, i )
{
nNodes = Fra_ClassCount( pClass );
assert( nNodes > 1 );
nLits += nNodes - 1;
}
return nLits;
}
/**Function*************************************************************
Synopsis [Prints simulation classes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void Fra_ClassesPrint( Fra_Cla_t * p )
{
Aig_Obj_t ** pClass;
int i;
printf( "Total classes = %d. Total pairs = %d.\n", Vec_PtrSize(p->vClasses), Fra_ClassesCountPairs(p) );
Vec_PtrForEachEntry( p->vClasses, pClass, i )
{
printf( "%3d (%3d) : ", i, Fra_ClassCount(pClass) );
Fra_PrintClass( pClass );
}
printf( "\n" );
}
/**Function*************************************************************
Synopsis [Creates initial simulation classes.]
Description [Assumes that simulation info is assigned.]
SideEffects []
SeeAlso []
***********************************************************************/
void Fra_ClassesPrepare( Fra_Cla_t * p )
{
Aig_Obj_t ** ppTable, ** ppNexts;
Aig_Obj_t * pObj, * pTemp;
int i, k, nTableSize, nEntries, nNodes, iEntry;
// allocate the hash table hashing simulation info into nodes
nTableSize = Aig_PrimeCudd( Aig_ManObjIdMax(p->pAig) + 1 );
ppTable = ALLOC( Aig_Obj_t *, nTableSize );
ppNexts = ALLOC( Aig_Obj_t *, nTableSize );
memset( ppTable, 0, sizeof(Aig_Obj_t *) * nTableSize );
// add all the nodes to the hash table
Vec_PtrClear( p->vClasses1 );
Aig_ManForEachObj( p->pAig, pObj, i )
{
if ( !Aig_ObjIsNode(pObj) && !Aig_ObjIsPi(pObj) )
continue;
// hash the node by its simulation info
iEntry = Fra_NodeHashSims( pObj ) % nTableSize;
// check if the node belongs to the class of constant 1
if ( iEntry == 0 && Fra_NodeHasZeroSim( pObj ) )
{
Vec_PtrPush( p->vClasses1, pObj );
Fra_ClassObjSetRepr( pObj, Aig_ManConst1(p->pAig) );
continue;
}
// add the node to the class
if ( ppTable[iEntry] == NULL )
{
ppTable[iEntry] = pObj;
Fra_ObjSetNext( ppNexts, pObj, pObj );
}
else
{
Fra_ObjSetNext( ppNexts, pObj, Fra_ObjNext(ppNexts,ppTable[iEntry]) );
Fra_ObjSetNext( ppNexts, ppTable[iEntry], pObj );
}
}
// count the total number of nodes in the non-trivial classes
// mark the representative nodes of each equivalence class
nEntries = 0;
for ( i = 0; i < nTableSize; i++ )
if ( ppTable[i] && ppTable[i] != Fra_ObjNext(ppNexts, ppTable[i]) )
{
for ( pTemp = Fra_ObjNext(ppNexts, ppTable[i]), k = 1;
pTemp != ppTable[i];
pTemp = Fra_ObjNext(ppNexts, pTemp), k++ );
assert( k > 1 );
nEntries += k;
// mark the node
assert( ppTable[i]->fMarkA == 0 );
ppTable[i]->fMarkA = 1;
}
// allocate room for classes
p->pMemClasses = ALLOC( Aig_Obj_t *, 2*(nEntries + Vec_PtrSize(p->vClasses1)) );
p->pMemClassesFree = p->pMemClasses + 2*nEntries;
// copy the entries into storage in the topological order
Vec_PtrClear( p->vClasses );
nEntries = 0;
Aig_ManForEachObj( p->pAig, pObj, i )
{
if ( !Aig_ObjIsNode(pObj) && !Aig_ObjIsPi(pObj) )
continue;
// skip the nodes that are not representatives of non-trivial classes
if ( pObj->fMarkA == 0 )
continue;
pObj->fMarkA = 0;
// add the class of nodes
Vec_PtrPush( p->vClasses, p->pMemClasses + 2*nEntries );
// count the number of entries in this class
for ( pTemp = Fra_ObjNext(ppNexts, pObj), k = 1;
pTemp != pObj;
pTemp = Fra_ObjNext(ppNexts, pTemp), k++ );
nNodes = k;
assert( nNodes > 1 );
// add the nodes to the class in the topological order
p->pMemClasses[2*nEntries] = pObj;
for ( pTemp = Fra_ObjNext(ppNexts, pObj), k = 1;
pTemp != pObj;
pTemp = Fra_ObjNext(ppNexts, pTemp), k++ )
{
p->pMemClasses[2*nEntries+nNodes-k] = pTemp;
Fra_ClassObjSetRepr( pTemp, pObj );
}
// add as many empty entries
// memset( p->pMemClasses + 2*nEntries + nNodes, 0, sizeof(Aig_Obj_t *) * nNodes );
p->pMemClasses[2*nEntries + nNodes] = NULL;
// increment the number of entries
nEntries += k;
}
free( ppTable );
free( ppNexts );
// now it is time to refine the classes
Fra_ClassesRefine( p );
}
/**Function*************************************************************
Synopsis [Refines one class using simulation info.]
Description [Returns the new class if refinement happened.]
SideEffects []
SeeAlso []
***********************************************************************/
Aig_Obj_t ** Fra_RefineClassOne( Fra_Cla_t * p, Aig_Obj_t ** ppClass )
{
Aig_Obj_t * pObj, ** ppThis;
int i;
assert( ppClass[0] != NULL && ppClass[1] != NULL );
// check if the class is going to be refined
for ( ppThis = ppClass + 1; pObj = *ppThis; ppThis++ )
if ( !Fra_NodeCompareSims(ppClass[0], pObj) )
break;
if ( pObj == NULL )
return NULL;
// split the class
Vec_PtrClear( p->vClassOld );
Vec_PtrClear( p->vClassNew );
Vec_PtrPush( p->vClassOld, ppClass[0] );
for ( ppThis = ppClass + 1; pObj = *ppThis; ppThis++ )
if ( Fra_NodeCompareSims(ppClass[0], pObj) )
Vec_PtrPush( p->vClassOld, pObj );
else
Vec_PtrPush( p->vClassNew, pObj );
/*
printf( "Refining class (" );
Vec_PtrForEachEntry( p->vClassOld, pObj, i )
printf( "%d,", pObj->Id );
printf( ") + (" );
Vec_PtrForEachEntry( p->vClassNew, pObj, i )
printf( "%d,", pObj->Id );
printf( ")\n" );
*/
// put the nodes back into the class memory
Vec_PtrForEachEntry( p->vClassOld, pObj, i )
{
ppClass[i] = pObj;
ppClass[Vec_PtrSize(p->vClassOld)+i] = NULL;
Fra_ClassObjSetRepr( pObj, i? ppClass[0] : NULL );
}
ppClass += 2*Vec_PtrSize(p->vClassOld);
// put the new nodes into the class memory
Vec_PtrForEachEntry( p->vClassNew, pObj, i )
{
ppClass[i] = pObj;
ppClass[Vec_PtrSize(p->vClassNew)+i] = NULL;
Fra_ClassObjSetRepr( pObj, i? ppClass[0] : NULL );
}
return ppClass;
}
/**Function*************************************************************
Synopsis [Iteratively refines the classes after simulation.]
Description [Returns the number of refinements performed.]
SideEffects []
SeeAlso []
***********************************************************************/
int Fra_RefineClassLastIter( Fra_Cla_t * p, Vec_Ptr_t * vClasses )
{
Aig_Obj_t ** pClass, ** pClass2;
int nRefis;
pClass = Vec_PtrEntryLast( vClasses );
for ( nRefis = 0; pClass2 = Fra_RefineClassOne( p, pClass ); nRefis++ )
{
// if the original class is trivial, remove it
if ( pClass[1] == NULL )
Vec_PtrPop( vClasses );
// if the new class is trivial, stop
if ( pClass2[1] == NULL )
{
nRefis++;
break;
}
// othewise, add the class and continue
Vec_PtrPush( vClasses, pClass2 );
pClass = pClass2;
}
return nRefis;
}
/**Function*************************************************************
Synopsis [Refines the classes after simulation.]
Description [Assumes that simulation info is assigned. Returns the
number of classes refined.]
SideEffects []
SeeAlso []
***********************************************************************/
int Fra_ClassesRefine( Fra_Cla_t * p )
{
Vec_Ptr_t * vTemp;
Aig_Obj_t ** pClass;
int i, nRefis;
// refine the classes
nRefis = 0;
Vec_PtrClear( p->vClassesTemp );
Vec_PtrForEachEntry( p->vClasses, pClass, i )
{
// add the class to the new array
Vec_PtrPush( p->vClassesTemp, pClass );
// refine the class iteratively
nRefis += Fra_RefineClassLastIter( p, p->vClassesTemp );
}
// exchange the class representation
vTemp = p->vClassesTemp;
p->vClassesTemp = p->vClasses;
p->vClasses = vTemp;
p->fRefinement = (nRefis > 0);
return nRefis;
}
/**Function*************************************************************
Synopsis [Refines constant 1 equivalence class.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
int Fra_ClassesRefine1( Fra_Cla_t * p )
{
Aig_Obj_t * pObj, ** ppClass;
int i, k, nRefis;
// check if there is anything to refine
if ( Vec_PtrSize(p->vClasses1) == 0 )
return 0;
// make sure constant 1 class contains only non-constant nodes
assert( Vec_PtrEntry(p->vClasses1,0) != Aig_ManConst1(p->pAig) );
// collect all the nodes to be refined
k = 0;
Vec_PtrClear( p->vClassNew );
Vec_PtrForEachEntry( p->vClasses1, pObj, i )
{
if ( Fra_NodeHasZeroSim( pObj ) )
Vec_PtrWriteEntry( p->vClasses1, k++, pObj );
else
Vec_PtrPush( p->vClassNew, pObj );
}
Vec_PtrShrink( p->vClasses1, k );
if ( Vec_PtrSize(p->vClassNew) == 0 )
return 0;
p->fRefinement = 1;
if ( Vec_PtrSize(p->vClassNew) == 1 )
{
Fra_ClassObjSetRepr( Vec_PtrEntry(p->vClassNew,0), NULL );
return 1;
}
// create a new class composed of these nodes
ppClass = p->pMemClassesFree;
p->pMemClassesFree += 2 * Vec_PtrSize(p->vClassNew);
Vec_PtrForEachEntry( p->vClassNew, pObj, i )
{
ppClass[i] = pObj;
ppClass[Vec_PtrSize(p->vClassNew)+i] = NULL;
Fra_ClassObjSetRepr( pObj, i? ppClass[0] : NULL );
}
Vec_PtrPush( p->vClasses, ppClass );
// iteratively refine this class
nRefis = 1 + Fra_RefineClassLastIter( p, p->vClasses );
return nRefis;
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
|