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
|
/**CFile****************************************************************
FileName [kitBdd.c]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [Computation kit.]
Synopsis [Procedures involving BDDs.]
Author [Alan Mishchenko]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - Dec 6, 2006.]
Revision [$Id: kitBdd.c,v 1.00 2006/12/06 00:00:00 alanmi Exp $]
***********************************************************************/
#include "kit.h"
#ifdef ABC_USE_CUDD
#include "bdd/extrab/extraBdd.h"
#endif
ABC_NAMESPACE_IMPL_START
////////////////////////////////////////////////////////////////////////
/// DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
#ifdef ABC_USE_CUDD
/**Function*************************************************************
Synopsis [Derives the BDD for the given SOP.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Kit_SopToBdd( DdManager * dd, Kit_Sop_t * cSop, int nVars )
{
DdNode * bSum, * bCube, * bTemp, * bVar;
unsigned uCube;
int Value, i, v;
assert( nVars < 16 );
// start the cover
bSum = Cudd_ReadLogicZero(dd); Cudd_Ref( bSum );
// check the logic function of the node
Kit_SopForEachCube( cSop, uCube, i )
{
bCube = Cudd_ReadOne(dd); Cudd_Ref( bCube );
for ( v = 0; v < nVars; v++ )
{
Value = ((uCube >> 2*v) & 3);
if ( Value == 1 )
bVar = Cudd_Not( Cudd_bddIthVar( dd, v ) );
else if ( Value == 2 )
bVar = Cudd_bddIthVar( dd, v );
else
continue;
bCube = Cudd_bddAnd( dd, bTemp = bCube, bVar ); Cudd_Ref( bCube );
Cudd_RecursiveDeref( dd, bTemp );
}
bSum = Cudd_bddOr( dd, bTemp = bSum, bCube );
Cudd_Ref( bSum );
Cudd_RecursiveDeref( dd, bTemp );
Cudd_RecursiveDeref( dd, bCube );
}
// complement the result if necessary
Cudd_Deref( bSum );
return bSum;
}
/**Function*************************************************************
Synopsis [Converts graph to BDD.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Kit_GraphToBdd( DdManager * dd, Kit_Graph_t * pGraph )
{
DdNode * bFunc, * bFunc0, * bFunc1;
Kit_Node_t * pNode = NULL; // Suppress "might be used uninitialized"
int i;
// sanity checks
assert( Kit_GraphLeaveNum(pGraph) >= 0 );
assert( Kit_GraphLeaveNum(pGraph) <= pGraph->nSize );
// check for constant function
if ( Kit_GraphIsConst(pGraph) )
return Cudd_NotCond( b1, Kit_GraphIsComplement(pGraph) );
// check for a literal
if ( Kit_GraphIsVar(pGraph) )
return Cudd_NotCond( Cudd_bddIthVar(dd, Kit_GraphVarInt(pGraph)), Kit_GraphIsComplement(pGraph) );
// assign the elementary variables
Kit_GraphForEachLeaf( pGraph, pNode, i )
pNode->pFunc = Cudd_bddIthVar( dd, i );
// compute the function for each internal node
Kit_GraphForEachNode( pGraph, pNode, i )
{
bFunc0 = Cudd_NotCond( Kit_GraphNode(pGraph, pNode->eEdge0.Node)->pFunc, pNode->eEdge0.fCompl );
bFunc1 = Cudd_NotCond( Kit_GraphNode(pGraph, pNode->eEdge1.Node)->pFunc, pNode->eEdge1.fCompl );
pNode->pFunc = Cudd_bddAnd( dd, bFunc0, bFunc1 ); Cudd_Ref( (DdNode *)pNode->pFunc );
}
// deref the intermediate results
bFunc = (DdNode *)pNode->pFunc; Cudd_Ref( bFunc );
Kit_GraphForEachNode( pGraph, pNode, i )
Cudd_RecursiveDeref( dd, (DdNode *)pNode->pFunc );
Cudd_Deref( bFunc );
// complement the result if necessary
return Cudd_NotCond( bFunc, Kit_GraphIsComplement(pGraph) );
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Kit_TruthToBdd_rec( DdManager * dd, unsigned * pTruth, int iBit, int nVars, int nVarsTotal, int fMSBonTop )
{
DdNode * bF0, * bF1, * bF;
int Var;
if ( nVars <= 5 )
{
unsigned uTruth, uMask;
uMask = ((~(unsigned)0) >> (32 - (1<<nVars)));
uTruth = (pTruth[iBit>>5] >> (iBit&31)) & uMask;
if ( uTruth == 0 )
return b0;
if ( uTruth == uMask )
return b1;
}
// find the variable to use
Var = fMSBonTop? nVarsTotal-nVars : nVars-1;
// other special cases can be added
bF0 = Kit_TruthToBdd_rec( dd, pTruth, iBit, nVars-1, nVarsTotal, fMSBonTop ); Cudd_Ref( bF0 );
bF1 = Kit_TruthToBdd_rec( dd, pTruth, iBit+(1<<(nVars-1)), nVars-1, nVarsTotal, fMSBonTop ); Cudd_Ref( bF1 );
bF = Cudd_bddIte( dd, dd->vars[Var], bF1, bF0 ); Cudd_Ref( bF );
Cudd_RecursiveDeref( dd, bF0 );
Cudd_RecursiveDeref( dd, bF1 );
Cudd_Deref( bF );
return bF;
}
/**Function*************************************************************
Synopsis [Compute BDD corresponding to the truth table.]
Description [If truth table has N vars, the BDD depends on N topmost
variables of the BDD manager. The most significant variable of the table
is encoded by the topmost variable of the manager. BDD construction is
efficient in this case because BDD is constructed one node at a time,
by simply adding BDD nodes on top of existent BDD nodes.]
SideEffects []
SeeAlso []
***********************************************************************/
DdNode * Kit_TruthToBdd( DdManager * dd, unsigned * pTruth, int nVars, int fMSBonTop )
{
return Kit_TruthToBdd_rec( dd, pTruth, 0, nVars, nVars, fMSBonTop );
}
/**Function*************************************************************
Synopsis [Verifies that the factoring is correct.]
Description []
SideEffects []
SeeAlso []
***********************************************************************/
int Kit_SopFactorVerify( Vec_Int_t * vCover, Kit_Graph_t * pFForm, int nVars )
{
static DdManager * dd = NULL;
Kit_Sop_t Sop, * cSop = &Sop;
DdNode * bFunc1, * bFunc2;
Vec_Int_t * vMemory;
int RetValue;
// get the manager
if ( dd == NULL )
dd = Cudd_Init( 16, 0, CUDD_UNIQUE_SLOTS, CUDD_CACHE_SLOTS, 0 );
// derive SOP
vMemory = Vec_IntAlloc( Vec_IntSize(vCover) );
Kit_SopCreate( cSop, vCover, nVars, vMemory );
// get the functions
bFunc1 = Kit_SopToBdd( dd, cSop, nVars ); Cudd_Ref( bFunc1 );
bFunc2 = Kit_GraphToBdd( dd, pFForm ); Cudd_Ref( bFunc2 );
//Extra_bddPrint( dd, bFunc1 ); printf("\n");
//Extra_bddPrint( dd, bFunc2 ); printf("\n");
RetValue = (bFunc1 == bFunc2);
if ( bFunc1 != bFunc2 )
{
int s;
Extra_bddPrint( dd, bFunc1 ); printf("\n");
Extra_bddPrint( dd, bFunc2 ); printf("\n");
s = 0;
}
Cudd_RecursiveDeref( dd, bFunc1 );
Cudd_RecursiveDeref( dd, bFunc2 );
Vec_IntFree( vMemory );
return RetValue;
}
#endif
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
ABC_NAMESPACE_IMPL_END
|