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
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
|
/**CFile****************************************************************
FileName [dec.h]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [A simple decomposition tree/node data structure and its APIs.]
Synopsis [External declarations.]
Author [Alan Mishchenko]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - June 20, 2005.]
Revision [$Id: dec.h,v 1.00 2005/06/20 00:00:00 alanmi Exp $]
***********************************************************************/
#ifndef ABC__opt__dec__dec_h
#define ABC__opt__dec__dec_h
////////////////////////////////////////////////////////////////////////
/// INCLUDES ///
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
/// PARAMETERS ///
////////////////////////////////////////////////////////////////////////
ABC_NAMESPACE_HEADER_START
////////////////////////////////////////////////////////////////////////
/// BASIC TYPES ///
////////////////////////////////////////////////////////////////////////
typedef struct Dec_Edge_t_ Dec_Edge_t;
struct Dec_Edge_t_
{
unsigned fCompl : 1; // the complemented bit
unsigned Node : 30; // the decomposition node pointed by the edge
};
typedef struct Dec_Node_t_ Dec_Node_t;
struct Dec_Node_t_
{
Dec_Edge_t eEdge0; // the left child of the node
Dec_Edge_t eEdge1; // the right child of the node
// other info
union { int iFunc; // the literal of the node (AIG)
void * pFunc; }; // the function of the node (BDD or AIG)
unsigned Level : 14; // the level of this node in the global AIG
// printing info
unsigned fNodeOr : 1; // marks the original OR node
unsigned fCompl0 : 1; // marks the original complemented edge
unsigned fCompl1 : 1; // marks the original complemented edge
// latch info
unsigned nLat0 : 5; // the number of latches on the first edge
unsigned nLat1 : 5; // the number of latches on the second edge
unsigned nLat2 : 5; // the number of latches on the output edge
};
typedef struct Dec_Graph_t_ Dec_Graph_t;
struct Dec_Graph_t_
{
int fConst; // marks the constant 1 graph
int nLeaves; // the number of leaves
int nSize; // the number of nodes (including the leaves)
int nCap; // the number of allocated nodes
Dec_Node_t * pNodes; // the array of leaves and internal nodes
Dec_Edge_t eRoot; // the pointer to the topmost node
};
typedef struct Dec_Man_t_ Dec_Man_t;
struct Dec_Man_t_
{
void * pMvcMem; // memory manager for MVC cover (used for factoring)
Vec_Int_t * vCubes; // storage for cubes
Vec_Int_t * vLits; // storage for literals
// precomputation information about 4-variable functions
unsigned short * puCanons; // canonical forms
char * pPhases; // canonical phases
char * pPerms; // canonical permutations
unsigned char * pMap; // mapping of functions into class numbers
};
////////////////////////////////////////////////////////////////////////
/// ITERATORS ///
////////////////////////////////////////////////////////////////////////
// interator throught the leaves
#define Dec_GraphForEachLeaf( pGraph, pLeaf, i ) \
for ( i = 0; (i < (pGraph)->nLeaves) && (((pLeaf) = Dec_GraphNode(pGraph, i)), 1); i++ )
// interator throught the internal nodes
#define Dec_GraphForEachNode( pGraph, pAnd, i ) \
for ( i = (pGraph)->nLeaves; (i < (pGraph)->nSize) && (((pAnd) = Dec_GraphNode(pGraph, i)), 1); i++ )
////////////////////////////////////////////////////////////////////////
/// FUNCTION DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
/*=== decAbc.c ========================================================*/
/*=== decFactor.c ========================================================*/
extern Dec_Graph_t * Dec_Factor( char * pSop );
/*=== decMan.c ========================================================*/
extern Dec_Man_t * Dec_ManStart();
extern void Dec_ManStop( Dec_Man_t * p );
/*=== decPrint.c ========================================================*/
extern void Dec_GraphPrint( FILE * pFile, Dec_Graph_t * pGraph, char * pNamesIn[], char * pNameOut );
/*=== decUtil.c ========================================================*/
extern unsigned Dec_GraphDeriveTruth( Dec_Graph_t * pGraph );
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
/**Function*************************************************************
Synopsis [Creates an edge pointing to the node in the given polarity.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_EdgeCreate( int Node, int fCompl )
{
Dec_Edge_t eEdge = { fCompl, Node };
return eEdge;
}
/**Function*************************************************************
Synopsis [Converts the edge into unsigned integer.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline unsigned Dec_EdgeToInt( Dec_Edge_t eEdge )
{
return (eEdge.Node << 1) | eEdge.fCompl;
}
/**Function*************************************************************
Synopsis [Converts unsigned integer into the edge.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_IntToEdge( unsigned Edge )
{
return Dec_EdgeCreate( Edge >> 1, Edge & 1 );
}
/**Function*************************************************************
Synopsis [Converts the edge into unsigned integer.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline unsigned Dec_EdgeToInt_( Dec_Edge_t m ) { union { Dec_Edge_t x; unsigned y; } v; v.x = m; return v.y; }
/*
static inline unsigned Dec_EdgeToInt_( Dec_Edge_t eEdge )
{
return *(unsigned *)&eEdge;
}
*/
/**Function*************************************************************
Synopsis [Converts unsigned integer into the edge.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_IntToEdge_( unsigned m ) { union { Dec_Edge_t x; unsigned y; } v; v.y = m; return v.x; }
/*
static inline Dec_Edge_t Dec_IntToEdge_( unsigned Edge )
{
return *(Dec_Edge_t *)&Edge;
}
*/
/**Function*************************************************************
Synopsis [Creates a graph with the given number of leaves.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Graph_t * Dec_GraphCreate( int nLeaves )
{
Dec_Graph_t * pGraph;
pGraph = ABC_ALLOC( Dec_Graph_t, 1 );
memset( pGraph, 0, sizeof(Dec_Graph_t) );
pGraph->nLeaves = nLeaves;
pGraph->nSize = nLeaves;
pGraph->nCap = 2 * nLeaves + 50;
pGraph->pNodes = ABC_ALLOC( Dec_Node_t, pGraph->nCap );
memset( pGraph->pNodes, 0, sizeof(Dec_Node_t) * pGraph->nSize );
return pGraph;
}
/**Function*************************************************************
Synopsis [Creates constant 0 graph.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Graph_t * Dec_GraphCreateConst0()
{
Dec_Graph_t * pGraph;
pGraph = ABC_ALLOC( Dec_Graph_t, 1 );
memset( pGraph, 0, sizeof(Dec_Graph_t) );
pGraph->fConst = 1;
pGraph->eRoot.fCompl = 1;
return pGraph;
}
/**Function*************************************************************
Synopsis [Creates constant 1 graph.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Graph_t * Dec_GraphCreateConst1()
{
Dec_Graph_t * pGraph;
pGraph = ABC_ALLOC( Dec_Graph_t, 1 );
memset( pGraph, 0, sizeof(Dec_Graph_t) );
pGraph->fConst = 1;
return pGraph;
}
/**Function*************************************************************
Synopsis [Creates the literal graph.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Graph_t * Dec_GraphCreateLeaf( int iLeaf, int nLeaves, int fCompl )
{
Dec_Graph_t * pGraph;
assert( 0 <= iLeaf && iLeaf < nLeaves );
pGraph = Dec_GraphCreate( nLeaves );
pGraph->eRoot.Node = iLeaf;
pGraph->eRoot.fCompl = fCompl;
return pGraph;
}
/**Function*************************************************************
Synopsis [Creates a graph with the given number of leaves.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline void Dec_GraphFree( Dec_Graph_t * pGraph )
{
ABC_FREE( pGraph->pNodes );
ABC_FREE( pGraph );
}
/**Function*************************************************************
Synopsis [Returns 1 if the graph is a constant.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphIsConst( Dec_Graph_t * pGraph )
{
return pGraph->fConst;
}
/**Function*************************************************************
Synopsis [Returns 1 if the graph is constant 0.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphIsConst0( Dec_Graph_t * pGraph )
{
return pGraph->fConst && pGraph->eRoot.fCompl;
}
/**Function*************************************************************
Synopsis [Returns 1 if the graph is constant 1.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphIsConst1( Dec_Graph_t * pGraph )
{
return pGraph->fConst && !pGraph->eRoot.fCompl;
}
/**Function*************************************************************
Synopsis [Returns 1 if the graph is complemented.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphIsComplement( Dec_Graph_t * pGraph )
{
return pGraph->eRoot.fCompl;
}
/**Function*************************************************************
Synopsis [Checks if the graph is complemented.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline void Dec_GraphComplement( Dec_Graph_t * pGraph )
{
pGraph->eRoot.fCompl ^= 1;
}
/**Function*************************************************************
Synopsis [Returns the number of leaves.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphLeaveNum( Dec_Graph_t * pGraph )
{
return pGraph->nLeaves;
}
/**Function*************************************************************
Synopsis [Returns the number of internal nodes.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphNodeNum( Dec_Graph_t * pGraph )
{
return pGraph->nSize - pGraph->nLeaves;
}
/**Function*************************************************************
Synopsis [Returns the pointer to the node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Node_t * Dec_GraphNode( Dec_Graph_t * pGraph, int i )
{
return pGraph->pNodes + i;
}
/**Function*************************************************************
Synopsis [Returns the pointer to the node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Node_t * Dec_GraphNodeLast( Dec_Graph_t * pGraph )
{
return pGraph->pNodes + pGraph->nSize - 1;
}
/**Function*************************************************************
Synopsis [Returns the number of the given node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphNodeInt( Dec_Graph_t * pGraph, Dec_Node_t * pNode )
{
return pNode - pGraph->pNodes;
}
/**Function*************************************************************
Synopsis [Check if the graph represents elementary variable.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphIsVar( Dec_Graph_t * pGraph )
{
return pGraph->eRoot.Node < (unsigned)pGraph->nLeaves;
}
/**Function*************************************************************
Synopsis [Check if the graph represents elementary variable.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphNodeIsVar( Dec_Graph_t * pGraph, Dec_Node_t * pNode )
{
return Dec_GraphNodeInt(pGraph,pNode) < pGraph->nLeaves;
}
/**Function*************************************************************
Synopsis [Returns the elementary variable elementary variable.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Node_t * Dec_GraphVar( Dec_Graph_t * pGraph )
{
assert( Dec_GraphIsVar( pGraph ) );
return Dec_GraphNode( pGraph, pGraph->eRoot.Node );
}
/**Function*************************************************************
Synopsis [Returns the number of the elementary variable.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline int Dec_GraphVarInt( Dec_Graph_t * pGraph )
{
assert( Dec_GraphIsVar( pGraph ) );
return Dec_GraphNodeInt( pGraph, Dec_GraphVar(pGraph) );
}
/**Function*************************************************************
Synopsis [Sets the root of the graph.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline void Dec_GraphSetRoot( Dec_Graph_t * pGraph, Dec_Edge_t eRoot )
{
pGraph->eRoot = eRoot;
}
/**Function*************************************************************
Synopsis [Appends a new node to the graph.]
Description [This procedure is meant for internal use.]
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Node_t * Dec_GraphAppendNode( Dec_Graph_t * pGraph )
{
Dec_Node_t * pNode;
if ( pGraph->nSize == pGraph->nCap )
{
pGraph->pNodes = ABC_REALLOC( Dec_Node_t, pGraph->pNodes, 2 * pGraph->nCap );
pGraph->nCap = 2 * pGraph->nCap;
}
pNode = pGraph->pNodes + pGraph->nSize++;
memset( pNode, 0, sizeof(Dec_Node_t) );
return pNode;
}
/**Function*************************************************************
Synopsis [Creates an AND node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_GraphAddNodeAnd( Dec_Graph_t * pGraph, Dec_Edge_t eEdge0, Dec_Edge_t eEdge1 )
{
Dec_Node_t * pNode;
// get the new node
pNode = Dec_GraphAppendNode( pGraph );
// set the inputs and other info
pNode->eEdge0 = eEdge0;
pNode->eEdge1 = eEdge1;
pNode->fCompl0 = eEdge0.fCompl;
pNode->fCompl1 = eEdge1.fCompl;
return Dec_EdgeCreate( pGraph->nSize - 1, 0 );
}
/**Function*************************************************************
Synopsis [Creates an OR node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_GraphAddNodeOr( Dec_Graph_t * pGraph, Dec_Edge_t eEdge0, Dec_Edge_t eEdge1 )
{
Dec_Node_t * pNode;
// get the new node
pNode = Dec_GraphAppendNode( pGraph );
// set the inputs and other info
pNode->eEdge0 = eEdge0;
pNode->eEdge1 = eEdge1;
pNode->fCompl0 = eEdge0.fCompl;
pNode->fCompl1 = eEdge1.fCompl;
// make adjustments for the OR gate
pNode->fNodeOr = 1;
pNode->eEdge0.fCompl = !pNode->eEdge0.fCompl;
pNode->eEdge1.fCompl = !pNode->eEdge1.fCompl;
return Dec_EdgeCreate( pGraph->nSize - 1, 1 );
}
/**Function*************************************************************
Synopsis [Creates an XOR node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_GraphAddNodeXor( Dec_Graph_t * pGraph, Dec_Edge_t eEdge0, Dec_Edge_t eEdge1, int Type )
{
Dec_Edge_t eNode0, eNode1, eNode;
if ( Type == 0 )
{
// derive the first AND
eEdge0.fCompl ^= 1;
eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
eEdge0.fCompl ^= 1;
// derive the second AND
eEdge1.fCompl ^= 1;
eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
// derive the final OR
eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
}
else
{
// derive the first AND
eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
// derive the second AND
eEdge0.fCompl ^= 1;
eEdge1.fCompl ^= 1;
eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdge0, eEdge1 );
// derive the final OR
eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
eNode.fCompl ^= 1;
}
return eNode;
}
/**Function*************************************************************
Synopsis [Creates an XOR node.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
static inline Dec_Edge_t Dec_GraphAddNodeMux( Dec_Graph_t * pGraph, Dec_Edge_t eEdgeC, Dec_Edge_t eEdgeT, Dec_Edge_t eEdgeE, int Type )
{
Dec_Edge_t eNode0, eNode1, eNode;
if ( Type == 0 )
{
// derive the first AND
eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeT );
// derive the second AND
eEdgeC.fCompl ^= 1;
eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeE );
// derive the final OR
eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
}
else
{
// complement the arguments
eEdgeT.fCompl ^= 1;
eEdgeE.fCompl ^= 1;
// derive the first AND
eNode0 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeT );
// derive the second AND
eEdgeC.fCompl ^= 1;
eNode1 = Dec_GraphAddNodeAnd( pGraph, eEdgeC, eEdgeE );
// derive the final OR
eNode = Dec_GraphAddNodeOr( pGraph, eNode0, eNode1 );
eNode.fCompl ^= 1;
}
return eNode;
}
ABC_NAMESPACE_HEADER_END
#endif
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
|